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【330376】2020年浙江省绍兴市中考数学试卷

时间:2025-02-09 11:12:54 作者: 字数:29659字

2020年浙江省绍兴市中考数学试卷

一、选择题(本大题有10小题,每小题4分,共40分.请选出每小题中一个最符合题意的选项,不选、多选、错选,均不给分)

1.(4分)实数20 <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1007/" title="浙江省" class="c1" target="_blank">浙江省</a> <a href="/tags/1090/" title="绍兴" class="c1" target="_blank">绍兴</a> <a href="/tags/1185/" title="浙江" class="c1" target="_blank">浙江</a>  <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1007/" title="浙江省" class="c1" target="_blank">浙江省</a> <a href="/tags/1090/" title="绍兴" class="c1" target="_blank">绍兴</a> <a href="/tags/1185/" title="浙江" class="c1" target="_blank">浙江</a> 中,为负数的是 <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1007/" title="浙江省" class="c1" target="_blank">浙江省</a> <a href="/tags/1090/" title="绍兴" class="c1" target="_blank">绍兴</a> <a href="/tags/1185/" title="浙江" class="c1" target="_blank">浙江</a>    <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1007/" title="浙江省" class="c1" target="_blank">浙江省</a> <a href="/tags/1090/" title="绍兴" class="c1" target="_blank">绍兴</a> <a href="/tags/1185/" title="浙江" class="c1" target="_blank">浙江</a>

A2 B0 C <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1007/" title="浙江省" class="c1" target="_blank">浙江省</a> <a href="/tags/1090/" title="绍兴" class="c1" target="_blank">绍兴</a> <a href="/tags/1185/" title="浙江" class="c1" target="_blank">浙江</a> D <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1007/" title="浙江省" class="c1" target="_blank">浙江省</a> <a href="/tags/1090/" title="绍兴" class="c1" target="_blank">绍兴</a> <a href="/tags/1185/" title="浙江" class="c1" target="_blank">浙江</a>

2.(4分)某自动控制器的芯片,可植入2020000000粒晶体管,这个数字2020000000用科学记数法可表示为 <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1007/" title="浙江省" class="c1" target="_blank">浙江省</a> <a href="/tags/1090/" title="绍兴" class="c1" target="_blank">绍兴</a> <a href="/tags/1185/" title="浙江" class="c1" target="_blank">浙江</a>    <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1007/" title="浙江省" class="c1" target="_blank">浙江省</a> <a href="/tags/1090/" title="绍兴" class="c1" target="_blank">绍兴</a> <a href="/tags/1185/" title="浙江" class="c1" target="_blank">浙江</a>

A <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1007/" title="浙江省" class="c1" target="_blank">浙江省</a> <a href="/tags/1090/" title="绍兴" class="c1" target="_blank">绍兴</a> <a href="/tags/1185/" title="浙江" class="c1" target="_blank">浙江</a> B <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1007/" title="浙江省" class="c1" target="_blank">浙江省</a> <a href="/tags/1090/" title="绍兴" class="c1" target="_blank">绍兴</a> <a href="/tags/1185/" title="浙江" class="c1" target="_blank">浙江</a> C <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1007/" title="浙江省" class="c1" target="_blank">浙江省</a> <a href="/tags/1090/" title="绍兴" class="c1" target="_blank">绍兴</a> <a href="/tags/1185/" title="浙江" class="c1" target="_blank">浙江</a> D <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1007/" title="浙江省" class="c1" target="_blank">浙江省</a> <a href="/tags/1090/" title="绍兴" class="c1" target="_blank">绍兴</a> <a href="/tags/1185/" title="浙江" class="c1" target="_blank">浙江</a>

3.(4分)将如图的七巧板的其中几块,拼成一个多边形,为中心对称图形的是 <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1007/" title="浙江省" class="c1" target="_blank">浙江省</a> <a href="/tags/1090/" title="绍兴" class="c1" target="_blank">绍兴</a> <a href="/tags/1185/" title="浙江" class="c1" target="_blank">浙江</a>    <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1007/" title="浙江省" class="c1" target="_blank">浙江省</a> <a href="/tags/1090/" title="绍兴" class="c1" target="_blank">绍兴</a> <a href="/tags/1185/" title="浙江" class="c1" target="_blank">浙江</a>

Shape1

AShape2 BShape3

CShape4 DShape5

4.(4分)如图,点 <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1007/" title="浙江省" class="c1" target="_blank">浙江省</a> <a href="/tags/1090/" title="绍兴" class="c1" target="_blank">绍兴</a> <a href="/tags/1185/" title="浙江" class="c1" target="_blank">浙江</a>  <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1007/" title="浙江省" class="c1" target="_blank">浙江省</a> <a href="/tags/1090/" title="绍兴" class="c1" target="_blank">绍兴</a> <a href="/tags/1185/" title="浙江" class="c1" target="_blank">浙江</a>  <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1007/" title="浙江省" class="c1" target="_blank">浙江省</a> <a href="/tags/1090/" title="绍兴" class="c1" target="_blank">绍兴</a> <a href="/tags/1185/" title="浙江" class="c1" target="_blank">浙江</a>  <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1007/" title="浙江省" class="c1" target="_blank">浙江省</a> <a href="/tags/1090/" title="绍兴" class="c1" target="_blank">绍兴</a> <a href="/tags/1185/" title="浙江" class="c1" target="_blank">浙江</a>  <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1007/" title="浙江省" class="c1" target="_blank">浙江省</a> <a href="/tags/1090/" title="绍兴" class="c1" target="_blank">绍兴</a> <a href="/tags/1185/" title="浙江" class="c1" target="_blank">浙江</a> 均在 <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1007/" title="浙江省" class="c1" target="_blank">浙江省</a> <a href="/tags/1090/" title="绍兴" class="c1" target="_blank">绍兴</a> <a href="/tags/1185/" title="浙江" class="c1" target="_blank">浙江</a> 上, <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1007/" title="浙江省" class="c1" target="_blank">浙江省</a> <a href="/tags/1090/" title="绍兴" class="c1" target="_blank">绍兴</a> <a href="/tags/1185/" title="浙江" class="c1" target="_blank">浙江</a>  <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1007/" title="浙江省" class="c1" target="_blank">浙江省</a> <a href="/tags/1090/" title="绍兴" class="c1" target="_blank">绍兴</a> <a href="/tags/1185/" title="浙江" class="c1" target="_blank">浙江</a> ,则 <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1007/" title="浙江省" class="c1" target="_blank">浙江省</a> <a href="/tags/1090/" title="绍兴" class="c1" target="_blank">绍兴</a> <a href="/tags/1185/" title="浙江" class="c1" target="_blank">浙江</a> 的度数为 <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1007/" title="浙江省" class="c1" target="_blank">浙江省</a> <a href="/tags/1090/" title="绍兴" class="c1" target="_blank">绍兴</a> <a href="/tags/1185/" title="浙江" class="c1" target="_blank">浙江</a>    <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1007/" title="浙江省" class="c1" target="_blank">浙江省</a> <a href="/tags/1090/" title="绍兴" class="c1" target="_blank">绍兴</a> <a href="/tags/1185/" title="浙江" class="c1" target="_blank">浙江</a>

Shape6

A <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1007/" title="浙江省" class="c1" target="_blank">浙江省</a> <a href="/tags/1090/" title="绍兴" class="c1" target="_blank">绍兴</a> <a href="/tags/1185/" title="浙江" class="c1" target="_blank">浙江</a> B <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1007/" title="浙江省" class="c1" target="_blank">浙江省</a> <a href="/tags/1090/" title="绍兴" class="c1" target="_blank">绍兴</a> <a href="/tags/1185/" title="浙江" class="c1" target="_blank">浙江</a> C <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1007/" title="浙江省" class="c1" target="_blank">浙江省</a> <a href="/tags/1090/" title="绍兴" class="c1" target="_blank">绍兴</a> <a href="/tags/1185/" title="浙江" class="c1" target="_blank">浙江</a> D <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1007/" title="浙江省" class="c1" target="_blank">浙江省</a> <a href="/tags/1090/" title="绍兴" class="c1" target="_blank">绍兴</a> <a href="/tags/1185/" title="浙江" class="c1" target="_blank">浙江</a>

5.(4分)如图,三角板在灯光照射下形成投影,三角板与其投影的相似比为 <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1007/" title="浙江省" class="c1" target="_blank">浙江省</a> <a href="/tags/1090/" title="绍兴" class="c1" target="_blank">绍兴</a> <a href="/tags/1185/" title="浙江" class="c1" target="_blank">浙江</a> ,且三角板的一边长为 <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1007/" title="浙江省" class="c1" target="_blank">浙江省</a> <a href="/tags/1090/" title="绍兴" class="c1" target="_blank">绍兴</a> <a href="/tags/1185/" title="浙江" class="c1" target="_blank">浙江</a> .则投影三角板的对应边长为 <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1007/" title="浙江省" class="c1" target="_blank">浙江省</a> <a href="/tags/1090/" title="绍兴" class="c1" target="_blank">绍兴</a> <a href="/tags/1185/" title="浙江" class="c1" target="_blank">浙江</a>    <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1007/" title="浙江省" class="c1" target="_blank">浙江省</a> <a href="/tags/1090/" title="绍兴" class="c1" target="_blank">绍兴</a> <a href="/tags/1185/" title="浙江" class="c1" target="_blank">浙江</a>

Shape7

A <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1007/" title="浙江省" class="c1" target="_blank">浙江省</a> <a href="/tags/1090/" title="绍兴" class="c1" target="_blank">绍兴</a> <a href="/tags/1185/" title="浙江" class="c1" target="_blank">浙江</a> B <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1007/" title="浙江省" class="c1" target="_blank">浙江省</a> <a href="/tags/1090/" title="绍兴" class="c1" target="_blank">绍兴</a> <a href="/tags/1185/" title="浙江" class="c1" target="_blank">浙江</a> C <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1007/" title="浙江省" class="c1" target="_blank">浙江省</a> <a href="/tags/1090/" title="绍兴" class="c1" target="_blank">绍兴</a> <a href="/tags/1185/" title="浙江" class="c1" target="_blank">浙江</a> D <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1007/" title="浙江省" class="c1" target="_blank">浙江省</a> <a href="/tags/1090/" title="绍兴" class="c1" target="_blank">绍兴</a> <a href="/tags/1185/" title="浙江" class="c1" target="_blank">浙江</a>

6.(4分)如图,小球从 <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1007/" title="浙江省" class="c1" target="_blank">浙江省</a> <a href="/tags/1090/" title="绍兴" class="c1" target="_blank">绍兴</a> <a href="/tags/1185/" title="浙江" class="c1" target="_blank">浙江</a> 入口往下落,在每个交叉口都有向左或向右两种可能,且可能性相等.则小球从 <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1007/" title="浙江省" class="c1" target="_blank">浙江省</a> <a href="/tags/1090/" title="绍兴" class="c1" target="_blank">绍兴</a> <a href="/tags/1185/" title="浙江" class="c1" target="_blank">浙江</a> 出口落出的概率是 <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1007/" title="浙江省" class="c1" target="_blank">浙江省</a> <a href="/tags/1090/" title="绍兴" class="c1" target="_blank">绍兴</a> <a href="/tags/1185/" title="浙江" class="c1" target="_blank">浙江</a>    <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1007/" title="浙江省" class="c1" target="_blank">浙江省</a> <a href="/tags/1090/" title="绍兴" class="c1" target="_blank">绍兴</a> <a href="/tags/1185/" title="浙江" class="c1" target="_blank">浙江</a>

Shape8

A <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1007/" title="浙江省" class="c1" target="_blank">浙江省</a> <a href="/tags/1090/" title="绍兴" class="c1" target="_blank">绍兴</a> <a href="/tags/1185/" title="浙江" class="c1" target="_blank">浙江</a> B <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1007/" title="浙江省" class="c1" target="_blank">浙江省</a> <a href="/tags/1090/" title="绍兴" class="c1" target="_blank">绍兴</a> <a href="/tags/1185/" title="浙江" class="c1" target="_blank">浙江</a> C <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1007/" title="浙江省" class="c1" target="_blank">浙江省</a> <a href="/tags/1090/" title="绍兴" class="c1" target="_blank">绍兴</a> <a href="/tags/1185/" title="浙江" class="c1" target="_blank">浙江</a> D <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1007/" title="浙江省" class="c1" target="_blank">浙江省</a> <a href="/tags/1090/" title="绍兴" class="c1" target="_blank">绍兴</a> <a href="/tags/1185/" title="浙江" class="c1" target="_blank">浙江</a>

7.(4分)长度分别为2334的四根细木棒首尾相连,围成一个三角形(木棒允许连接,但不允许折断),得到的三角形的最长边长为 <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1007/" title="浙江省" class="c1" target="_blank">浙江省</a> <a href="/tags/1090/" title="绍兴" class="c1" target="_blank">绍兴</a> <a href="/tags/1185/" title="浙江" class="c1" target="_blank">浙江</a>    <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1007/" title="浙江省" class="c1" target="_blank">浙江省</a> <a href="/tags/1090/" title="绍兴" class="c1" target="_blank">绍兴</a> <a href="/tags/1185/" title="浙江" class="c1" target="_blank">浙江</a>

A4 B5 C6 D7

8.(4分)如图,点 <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1007/" title="浙江省" class="c1" target="_blank">浙江省</a> <a href="/tags/1090/" title="绍兴" class="c1" target="_blank">绍兴</a> <a href="/tags/1185/" title="浙江" class="c1" target="_blank">浙江</a> 为矩形 <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1007/" title="浙江省" class="c1" target="_blank">浙江省</a> <a href="/tags/1090/" title="绍兴" class="c1" target="_blank">绍兴</a> <a href="/tags/1185/" title="浙江" class="c1" target="_blank">浙江</a> 的对称中心,点 <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1007/" title="浙江省" class="c1" target="_blank">浙江省</a> <a href="/tags/1090/" title="绍兴" class="c1" target="_blank">绍兴</a> <a href="/tags/1185/" title="浙江" class="c1" target="_blank">浙江</a> 从点 <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1007/" title="浙江省" class="c1" target="_blank">浙江省</a> <a href="/tags/1090/" title="绍兴" class="c1" target="_blank">绍兴</a> <a href="/tags/1185/" title="浙江" class="c1" target="_blank">浙江</a> 出发沿 <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1007/" title="浙江省" class="c1" target="_blank">浙江省</a> <a href="/tags/1090/" title="绍兴" class="c1" target="_blank">绍兴</a> <a href="/tags/1185/" title="浙江" class="c1" target="_blank">浙江</a> 向点 <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1007/" title="浙江省" class="c1" target="_blank">浙江省</a> <a href="/tags/1090/" title="绍兴" class="c1" target="_blank">绍兴</a> <a href="/tags/1185/" title="浙江" class="c1" target="_blank">浙江</a> 运动,移动到点 <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1007/" title="浙江省" class="c1" target="_blank">浙江省</a> <a href="/tags/1090/" title="绍兴" class="c1" target="_blank">绍兴</a> <a href="/tags/1185/" title="浙江" class="c1" target="_blank">浙江</a> 停止,延长 <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1007/" title="浙江省" class="c1" target="_blank">浙江省</a> <a href="/tags/1090/" title="绍兴" class="c1" target="_blank">绍兴</a> <a href="/tags/1185/" title="浙江" class="c1" target="_blank">浙江</a>  <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1007/" title="浙江省" class="c1" target="_blank">浙江省</a> <a href="/tags/1090/" title="绍兴" class="c1" target="_blank">绍兴</a> <a href="/tags/1185/" title="浙江" class="c1" target="_blank">浙江</a> 于点 <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1007/" title="浙江省" class="c1" target="_blank">浙江省</a> <a href="/tags/1090/" title="绍兴" class="c1" target="_blank">绍兴</a> <a href="/tags/1185/" title="浙江" class="c1" target="_blank">浙江</a> ,则四边形 <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1007/" title="浙江省" class="c1" target="_blank">浙江省</a> <a href="/tags/1090/" title="绍兴" class="c1" target="_blank">绍兴</a> <a href="/tags/1185/" title="浙江" class="c1" target="_blank">浙江</a> 形状的变化依次为 <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1007/" title="浙江省" class="c1" target="_blank">浙江省</a> <a href="/tags/1090/" title="绍兴" class="c1" target="_blank">绍兴</a> <a href="/tags/1185/" title="浙江" class="c1" target="_blank">浙江</a>    <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1007/" title="浙江省" class="c1" target="_blank">浙江省</a> <a href="/tags/1090/" title="绍兴" class="c1" target="_blank">绍兴</a> <a href="/tags/1185/" title="浙江" class="c1" target="_blank">浙江</a>

Shape9

A.平行四边形 <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1007/" title="浙江省" class="c1" target="_blank">浙江省</a> <a href="/tags/1090/" title="绍兴" class="c1" target="_blank">绍兴</a> <a href="/tags/1185/" title="浙江" class="c1" target="_blank">浙江</a> 正方形 <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1007/" title="浙江省" class="c1" target="_blank">浙江省</a> <a href="/tags/1090/" title="绍兴" class="c1" target="_blank">绍兴</a> <a href="/tags/1185/" title="浙江" class="c1" target="_blank">浙江</a> 平行四边形 <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1007/" title="浙江省" class="c1" target="_blank">浙江省</a> <a href="/tags/1090/" title="绍兴" class="c1" target="_blank">绍兴</a> <a href="/tags/1185/" title="浙江" class="c1" target="_blank">浙江</a> 矩形

B.平行四边形 <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1007/" title="浙江省" class="c1" target="_blank">浙江省</a> <a href="/tags/1090/" title="绍兴" class="c1" target="_blank">绍兴</a> <a href="/tags/1185/" title="浙江" class="c1" target="_blank">浙江</a> 菱形 <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1007/" title="浙江省" class="c1" target="_blank">浙江省</a> <a href="/tags/1090/" title="绍兴" class="c1" target="_blank">绍兴</a> <a href="/tags/1185/" title="浙江" class="c1" target="_blank">浙江</a> 平行四边形 <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1007/" title="浙江省" class="c1" target="_blank">浙江省</a> <a href="/tags/1090/" title="绍兴" class="c1" target="_blank">绍兴</a> <a href="/tags/1185/" title="浙江" class="c1" target="_blank">浙江</a> 矩形

C.平行四边形 <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1007/" title="浙江省" class="c1" target="_blank">浙江省</a> <a href="/tags/1090/" title="绍兴" class="c1" target="_blank">绍兴</a> <a href="/tags/1185/" title="浙江" class="c1" target="_blank">浙江</a> 正方形 <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1007/" title="浙江省" class="c1" target="_blank">浙江省</a> <a href="/tags/1090/" title="绍兴" class="c1" target="_blank">绍兴</a> <a href="/tags/1185/" title="浙江" class="c1" target="_blank">浙江</a> 菱形 <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1007/" title="浙江省" class="c1" target="_blank">浙江省</a> <a href="/tags/1090/" title="绍兴" class="c1" target="_blank">绍兴</a> <a href="/tags/1185/" title="浙江" class="c1" target="_blank">浙江</a> 矩形

D.平行四边形 <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1007/" title="浙江省" class="c1" target="_blank">浙江省</a> <a href="/tags/1090/" title="绍兴" class="c1" target="_blank">绍兴</a> <a href="/tags/1185/" title="浙江" class="c1" target="_blank">浙江</a> 菱形 <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1007/" title="浙江省" class="c1" target="_blank">浙江省</a> <a href="/tags/1090/" title="绍兴" class="c1" target="_blank">绍兴</a> <a href="/tags/1185/" title="浙江" class="c1" target="_blank">浙江</a> 正方形 <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1007/" title="浙江省" class="c1" target="_blank">浙江省</a> <a href="/tags/1090/" title="绍兴" class="c1" target="_blank">绍兴</a> <a href="/tags/1185/" title="浙江" class="c1" target="_blank">浙江</a> 矩形

9.(4分)如图,等腰直角三角形 <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1007/" title="浙江省" class="c1" target="_blank">浙江省</a> <a href="/tags/1090/" title="绍兴" class="c1" target="_blank">绍兴</a> <a href="/tags/1185/" title="浙江" class="c1" target="_blank">浙江</a> 中, <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1007/" title="浙江省" class="c1" target="_blank">浙江省</a> <a href="/tags/1090/" title="绍兴" class="c1" target="_blank">绍兴</a> <a href="/tags/1185/" title="浙江" class="c1" target="_blank">浙江</a>  <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1007/" title="浙江省" class="c1" target="_blank">浙江省</a> <a href="/tags/1090/" title="绍兴" class="c1" target="_blank">绍兴</a> <a href="/tags/1185/" title="浙江" class="c1" target="_blank">浙江</a> ,将 <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1007/" title="浙江省" class="c1" target="_blank">浙江省</a> <a href="/tags/1090/" title="绍兴" class="c1" target="_blank">绍兴</a> <a href="/tags/1185/" title="浙江" class="c1" target="_blank">浙江</a> 绕点 <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1007/" title="浙江省" class="c1" target="_blank">浙江省</a> <a href="/tags/1090/" title="绍兴" class="c1" target="_blank">绍兴</a> <a href="/tags/1185/" title="浙江" class="c1" target="_blank">浙江</a> 顺时针旋转 <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1007/" title="浙江省" class="c1" target="_blank">浙江省</a> <a href="/tags/1090/" title="绍兴" class="c1" target="_blank">绍兴</a> <a href="/tags/1185/" title="浙江" class="c1" target="_blank">浙江</a> ,得到 <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1007/" title="浙江省" class="c1" target="_blank">浙江省</a> <a href="/tags/1090/" title="绍兴" class="c1" target="_blank">绍兴</a> <a href="/tags/1185/" title="浙江" class="c1" target="_blank">浙江</a> ,连结 <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1007/" title="浙江省" class="c1" target="_blank">浙江省</a> <a href="/tags/1090/" title="绍兴" class="c1" target="_blank">绍兴</a> <a href="/tags/1185/" title="浙江" class="c1" target="_blank">浙江</a> ,过点 <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1007/" title="浙江省" class="c1" target="_blank">浙江省</a> <a href="/tags/1090/" title="绍兴" class="c1" target="_blank">绍兴</a> <a href="/tags/1185/" title="浙江" class="c1" target="_blank">浙江</a>  <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1007/" title="浙江省" class="c1" target="_blank">浙江省</a> <a href="/tags/1090/" title="绍兴" class="c1" target="_blank">绍兴</a> <a href="/tags/1185/" title="浙江" class="c1" target="_blank">浙江</a>  <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1007/" title="浙江省" class="c1" target="_blank">浙江省</a> <a href="/tags/1090/" title="绍兴" class="c1" target="_blank">绍兴</a> <a href="/tags/1185/" title="浙江" class="c1" target="_blank">浙江</a> 的延长线于点 <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1007/" title="浙江省" class="c1" target="_blank">浙江省</a> <a href="/tags/1090/" title="绍兴" class="c1" target="_blank">绍兴</a> <a href="/tags/1185/" title="浙江" class="c1" target="_blank">浙江</a> ,连结 <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1007/" title="浙江省" class="c1" target="_blank">浙江省</a> <a href="/tags/1090/" title="绍兴" class="c1" target="_blank">绍兴</a> <a href="/tags/1185/" title="浙江" class="c1" target="_blank">浙江</a> ,则 <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1007/" title="浙江省" class="c1" target="_blank">浙江省</a> <a href="/tags/1090/" title="绍兴" class="c1" target="_blank">绍兴</a> <a href="/tags/1185/" title="浙江" class="c1" target="_blank">浙江</a> 的度数 <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1007/" title="浙江省" class="c1" target="_blank">浙江省</a> <a href="/tags/1090/" title="绍兴" class="c1" target="_blank">绍兴</a> <a href="/tags/1185/" title="浙江" class="c1" target="_blank">浙江</a>    <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1007/" title="浙江省" class="c1" target="_blank">浙江省</a> <a href="/tags/1090/" title="绍兴" class="c1" target="_blank">绍兴</a> <a href="/tags/1185/" title="浙江" class="c1" target="_blank">浙江</a>

Shape10

A.随着 <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1007/" title="浙江省" class="c1" target="_blank">浙江省</a> <a href="/tags/1090/" title="绍兴" class="c1" target="_blank">绍兴</a> <a href="/tags/1185/" title="浙江" class="c1" target="_blank">浙江</a> 的增大而增大 B.随着 <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1007/" title="浙江省" class="c1" target="_blank">浙江省</a> <a href="/tags/1090/" title="绍兴" class="c1" target="_blank">绍兴</a> <a href="/tags/1185/" title="浙江" class="c1" target="_blank">浙江</a> 的增大而减小

C.不变 D.随着 <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1007/" title="浙江省" class="c1" target="_blank">浙江省</a> <a href="/tags/1090/" title="绍兴" class="c1" target="_blank">绍兴</a> <a href="/tags/1185/" title="浙江" class="c1" target="_blank">浙江</a> 的增大,先增大后减小

10.(4分)同型号的甲、乙两辆车加满气体燃料后均可行驶 <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1007/" title="浙江省" class="c1" target="_blank">浙江省</a> <a href="/tags/1090/" title="绍兴" class="c1" target="_blank">绍兴</a> <a href="/tags/1185/" title="浙江" class="c1" target="_blank">浙江</a> ,它们各自单独行驶并返回的最远距离是 <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1007/" title="浙江省" class="c1" target="_blank">浙江省</a> <a href="/tags/1090/" title="绍兴" class="c1" target="_blank">绍兴</a> <a href="/tags/1185/" title="浙江" class="c1" target="_blank">浙江</a> .现在它们都从 <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1007/" title="浙江省" class="c1" target="_blank">浙江省</a> <a href="/tags/1090/" title="绍兴" class="c1" target="_blank">绍兴</a> <a href="/tags/1185/" title="浙江" class="c1" target="_blank">浙江</a> 地出发,行驶途中停下来从甲车的气体燃料桶抽一些气体燃料注入乙车的气体燃料桶,然后甲车再行驶返回 <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1007/" title="浙江省" class="c1" target="_blank">浙江省</a> <a href="/tags/1090/" title="绍兴" class="c1" target="_blank">绍兴</a> <a href="/tags/1185/" title="浙江" class="c1" target="_blank">浙江</a> 地,而乙车继续行驶,到 <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1007/" title="浙江省" class="c1" target="_blank">浙江省</a> <a href="/tags/1090/" title="绍兴" class="c1" target="_blank">绍兴</a> <a href="/tags/1185/" title="浙江" class="c1" target="_blank">浙江</a> 地后再行驶返回 <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1007/" title="浙江省" class="c1" target="_blank">浙江省</a> <a href="/tags/1090/" title="绍兴" class="c1" target="_blank">绍兴</a> <a href="/tags/1185/" title="浙江" class="c1" target="_blank">浙江</a> 地.则 <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1007/" title="浙江省" class="c1" target="_blank">浙江省</a> <a href="/tags/1090/" title="绍兴" class="c1" target="_blank">绍兴</a> <a href="/tags/1185/" title="浙江" class="c1" target="_blank">浙江</a> 地最远可距离 <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1007/" title="浙江省" class="c1" target="_blank">浙江省</a> <a href="/tags/1090/" title="绍兴" class="c1" target="_blank">绍兴</a> <a href="/tags/1185/" title="浙江" class="c1" target="_blank">浙江</a>  <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1007/" title="浙江省" class="c1" target="_blank">浙江省</a> <a href="/tags/1090/" title="绍兴" class="c1" target="_blank">绍兴</a> <a href="/tags/1185/" title="浙江" class="c1" target="_blank">浙江</a>    <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1007/" title="浙江省" class="c1" target="_blank">浙江省</a> <a href="/tags/1090/" title="绍兴" class="c1" target="_blank">绍兴</a> <a href="/tags/1185/" title="浙江" class="c1" target="_blank">浙江</a>

A <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1007/" title="浙江省" class="c1" target="_blank">浙江省</a> <a href="/tags/1090/" title="绍兴" class="c1" target="_blank">绍兴</a> <a href="/tags/1185/" title="浙江" class="c1" target="_blank">浙江</a> B <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1007/" title="浙江省" class="c1" target="_blank">浙江省</a> <a href="/tags/1090/" title="绍兴" class="c1" target="_blank">绍兴</a> <a href="/tags/1185/" title="浙江" class="c1" target="_blank">浙江</a> C <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1007/" title="浙江省" class="c1" target="_blank">浙江省</a> <a href="/tags/1090/" title="绍兴" class="c1" target="_blank">绍兴</a> <a href="/tags/1185/" title="浙江" class="c1" target="_blank">浙江</a> D <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1007/" title="浙江省" class="c1" target="_blank">浙江省</a> <a href="/tags/1090/" title="绍兴" class="c1" target="_blank">绍兴</a> <a href="/tags/1185/" title="浙江" class="c1" target="_blank">浙江</a>

二、填空题(本大题有6小题,每小题5分,共30分)

11.(5分)分解因式: <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1007/" title="浙江省" class="c1" target="_blank">浙江省</a> <a href="/tags/1090/" title="绍兴" class="c1" target="_blank">绍兴</a> <a href="/tags/1185/" title="浙江" class="c1" target="_blank">浙江</a>   

12.(5分)若关于 <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1007/" title="浙江省" class="c1" target="_blank">浙江省</a> <a href="/tags/1090/" title="绍兴" class="c1" target="_blank">绍兴</a> <a href="/tags/1185/" title="浙江" class="c1" target="_blank">浙江</a>  <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1007/" title="浙江省" class="c1" target="_blank">浙江省</a> <a href="/tags/1090/" title="绍兴" class="c1" target="_blank">绍兴</a> <a href="/tags/1185/" title="浙江" class="c1" target="_blank">浙江</a> 的二元一次方程组 <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1007/" title="浙江省" class="c1" target="_blank">浙江省</a> <a href="/tags/1090/" title="绍兴" class="c1" target="_blank">绍兴</a> <a href="/tags/1185/" title="浙江" class="c1" target="_blank">浙江</a> 的解为 <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1007/" title="浙江省" class="c1" target="_blank">浙江省</a> <a href="/tags/1090/" title="绍兴" class="c1" target="_blank">绍兴</a> <a href="/tags/1185/" title="浙江" class="c1" target="_blank">浙江</a> 则多项式 <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1007/" title="浙江省" class="c1" target="_blank">浙江省</a> <a href="/tags/1090/" title="绍兴" class="c1" target="_blank">绍兴</a> <a href="/tags/1185/" title="浙江" class="c1" target="_blank">浙江</a> 可以是  (写出一个即可).

13.(5分)如图1,直角三角形纸片的一条直角边长为2,剪四块这样的直角三角形纸片,把它们按图2放入一个边长为3的正方形中(纸片在结合部分不重叠无缝隙),则图2中阴影部分面积为  

Shape11

14.(5分)如图,已知边长为2的等边三角形 <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1007/" title="浙江省" class="c1" target="_blank">浙江省</a> <a href="/tags/1090/" title="绍兴" class="c1" target="_blank">绍兴</a> <a href="/tags/1185/" title="浙江" class="c1" target="_blank">浙江</a> 中,分别以点 <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1007/" title="浙江省" class="c1" target="_blank">浙江省</a> <a href="/tags/1090/" title="绍兴" class="c1" target="_blank">绍兴</a> <a href="/tags/1185/" title="浙江" class="c1" target="_blank">浙江</a>  <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1007/" title="浙江省" class="c1" target="_blank">浙江省</a> <a href="/tags/1090/" title="绍兴" class="c1" target="_blank">绍兴</a> <a href="/tags/1185/" title="浙江" class="c1" target="_blank">浙江</a> 为圆心, <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1007/" title="浙江省" class="c1" target="_blank">浙江省</a> <a href="/tags/1090/" title="绍兴" class="c1" target="_blank">绍兴</a> <a href="/tags/1185/" title="浙江" class="c1" target="_blank">浙江</a> 为半径作弧,两弧交于点 <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1007/" title="浙江省" class="c1" target="_blank">浙江省</a> <a href="/tags/1090/" title="绍兴" class="c1" target="_blank">绍兴</a> <a href="/tags/1185/" title="浙江" class="c1" target="_blank">浙江</a> ,连结 <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1007/" title="浙江省" class="c1" target="_blank">浙江省</a> <a href="/tags/1090/" title="绍兴" class="c1" target="_blank">绍兴</a> <a href="/tags/1185/" title="浙江" class="c1" target="_blank">浙江</a> .若 <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1007/" title="浙江省" class="c1" target="_blank">浙江省</a> <a href="/tags/1090/" title="绍兴" class="c1" target="_blank">绍兴</a> <a href="/tags/1185/" title="浙江" class="c1" target="_blank">浙江</a> 的长为 <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1007/" title="浙江省" class="c1" target="_blank">浙江省</a> <a href="/tags/1090/" title="绍兴" class="c1" target="_blank">绍兴</a> <a href="/tags/1185/" title="浙江" class="c1" target="_blank">浙江</a> ,则 <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1007/" title="浙江省" class="c1" target="_blank">浙江省</a> <a href="/tags/1090/" title="绍兴" class="c1" target="_blank">绍兴</a> <a href="/tags/1185/" title="浙江" class="c1" target="_blank">浙江</a> 的值为  

Shape12

15.(5分)有两种消费券: <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1007/" title="浙江省" class="c1" target="_blank">浙江省</a> <a href="/tags/1090/" title="绍兴" class="c1" target="_blank">绍兴</a> <a href="/tags/1185/" title="浙江" class="c1" target="_blank">浙江</a> 券,满60元减20元, <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1007/" title="浙江省" class="c1" target="_blank">浙江省</a> <a href="/tags/1090/" title="绍兴" class="c1" target="_blank">绍兴</a> <a href="/tags/1185/" title="浙江" class="c1" target="_blank">浙江</a> 券,满90元减30元,即一次购物大于等于60元、90元,付款时分别减20元、30元.小敏有一张 <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1007/" title="浙江省" class="c1" target="_blank">浙江省</a> <a href="/tags/1090/" title="绍兴" class="c1" target="_blank">绍兴</a> <a href="/tags/1185/" title="浙江" class="c1" target="_blank">浙江</a> 券,小聪有一张 <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1007/" title="浙江省" class="c1" target="_blank">浙江省</a> <a href="/tags/1090/" title="绍兴" class="c1" target="_blank">绍兴</a> <a href="/tags/1185/" title="浙江" class="c1" target="_blank">浙江</a> 券,他们都购了一件标价相同的商品,各自付款,若能用券时用券,这样两人共付款150元,则所购商品的标价是  元.

16.(5分)将两条邻边长分别为 <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1007/" title="浙江省" class="c1" target="_blank">浙江省</a> <a href="/tags/1090/" title="绍兴" class="c1" target="_blank">绍兴</a> <a href="/tags/1185/" title="浙江" class="c1" target="_blank">浙江</a> 1的矩形纸片剪成四个等腰三角形纸片(无余纸片),各种剪法剪出的等腰三角形中,其中一个等腰三角形的腰长可以是下列数中的  (填序号).

 <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1007/" title="浙江省" class="c1" target="_blank">浙江省</a> <a href="/tags/1090/" title="绍兴" class="c1" target="_blank">绍兴</a> <a href="/tags/1185/" title="浙江" class="c1" target="_blank">浙江</a> 1 <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1007/" title="浙江省" class="c1" target="_blank">浙江省</a> <a href="/tags/1090/" title="绍兴" class="c1" target="_blank">绍兴</a> <a href="/tags/1185/" title="浙江" class="c1" target="_blank">浙江</a>  <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1007/" title="浙江省" class="c1" target="_blank">浙江省</a> <a href="/tags/1090/" title="绍兴" class="c1" target="_blank">绍兴</a> <a href="/tags/1185/" title="浙江" class="c1" target="_blank">浙江</a>  <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1007/" title="浙江省" class="c1" target="_blank">浙江省</a> <a href="/tags/1090/" title="绍兴" class="c1" target="_blank">绍兴</a> <a href="/tags/1185/" title="浙江" class="c1" target="_blank">浙江</a>

三、解答题(本大题有8小题,第1720小题每小题8分,第21小题10分,第2223小题每小题8分,第24小题14分,共80分.解答需写出必要的文字说明、演算步骤或证明过程)

17.(8分)(1)计算: <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1007/" title="浙江省" class="c1" target="_blank">浙江省</a> <a href="/tags/1090/" title="绍兴" class="c1" target="_blank">绍兴</a> <a href="/tags/1185/" title="浙江" class="c1" target="_blank">浙江</a>

2)化简: <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1007/" title="浙江省" class="c1" target="_blank">浙江省</a> <a href="/tags/1090/" title="绍兴" class="c1" target="_blank">绍兴</a> <a href="/tags/1185/" title="浙江" class="c1" target="_blank">浙江</a>

18.(8分)如图,点 <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1007/" title="浙江省" class="c1" target="_blank">浙江省</a> <a href="/tags/1090/" title="绍兴" class="c1" target="_blank">绍兴</a> <a href="/tags/1185/" title="浙江" class="c1" target="_blank">浙江</a>  <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1007/" title="浙江省" class="c1" target="_blank">浙江省</a> <a href="/tags/1090/" title="绍兴" class="c1" target="_blank">绍兴</a> <a href="/tags/1185/" title="浙江" class="c1" target="_blank">浙江</a> 的边 <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1007/" title="浙江省" class="c1" target="_blank">浙江省</a> <a href="/tags/1090/" title="绍兴" class="c1" target="_blank">绍兴</a> <a href="/tags/1185/" title="浙江" class="c1" target="_blank">浙江</a> 的中点,连结 <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1007/" title="浙江省" class="c1" target="_blank">浙江省</a> <a href="/tags/1090/" title="绍兴" class="c1" target="_blank">绍兴</a> <a href="/tags/1185/" title="浙江" class="c1" target="_blank">浙江</a> 并延长,交 <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1007/" title="浙江省" class="c1" target="_blank">浙江省</a> <a href="/tags/1090/" title="绍兴" class="c1" target="_blank">绍兴</a> <a href="/tags/1185/" title="浙江" class="c1" target="_blank">浙江</a> 的延长线于点 <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1007/" title="浙江省" class="c1" target="_blank">浙江省</a> <a href="/tags/1090/" title="绍兴" class="c1" target="_blank">绍兴</a> <a href="/tags/1185/" title="浙江" class="c1" target="_blank">浙江</a>

1)若 <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1007/" title="浙江省" class="c1" target="_blank">浙江省</a> <a href="/tags/1090/" title="绍兴" class="c1" target="_blank">绍兴</a> <a href="/tags/1185/" title="浙江" class="c1" target="_blank">浙江</a> 的长为2,求 <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1007/" title="浙江省" class="c1" target="_blank">浙江省</a> <a href="/tags/1090/" title="绍兴" class="c1" target="_blank">绍兴</a> <a href="/tags/1185/" title="浙江" class="c1" target="_blank">浙江</a> 的长.

2)若 <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1007/" title="浙江省" class="c1" target="_blank">浙江省</a> <a href="/tags/1090/" title="绍兴" class="c1" target="_blank">绍兴</a> <a href="/tags/1185/" title="浙江" class="c1" target="_blank">浙江</a> ,试添加一个条件,并写出 <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1007/" title="浙江省" class="c1" target="_blank">浙江省</a> <a href="/tags/1090/" title="绍兴" class="c1" target="_blank">绍兴</a> <a href="/tags/1185/" title="浙江" class="c1" target="_blank">浙江</a> 的度数.

Shape13

19.(8分)一只羽毛球的重量合格标准是5.0 <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1007/" title="浙江省" class="c1" target="_blank">浙江省</a> <a href="/tags/1090/" title="绍兴" class="c1" target="_blank">绍兴</a> <a href="/tags/1185/" title="浙江" class="c1" target="_blank">浙江</a> 克(含5.0克,不含5.2克),某厂对4月份生产的羽毛球重量进行抽样检验,并将所得数据绘制成如图统计图表.

4月份生产的羽毛球重量统计表

组别

重量 <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1007/" title="浙江省" class="c1" target="_blank">浙江省</a> <a href="/tags/1090/" title="绍兴" class="c1" target="_blank">绍兴</a> <a href="/tags/1185/" title="浙江" class="c1" target="_blank">浙江</a> (克 <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1007/" title="浙江省" class="c1" target="_blank">浙江省</a> <a href="/tags/1090/" title="绍兴" class="c1" target="_blank">绍兴</a> <a href="/tags/1185/" title="浙江" class="c1" target="_blank">浙江</a>

数量(只 <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1007/" title="浙江省" class="c1" target="_blank">浙江省</a> <a href="/tags/1090/" title="绍兴" class="c1" target="_blank">绍兴</a> <a href="/tags/1185/" title="浙江" class="c1" target="_blank">浙江</a>

 <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1007/" title="浙江省" class="c1" target="_blank">浙江省</a> <a href="/tags/1090/" title="绍兴" class="c1" target="_blank">绍兴</a> <a href="/tags/1185/" title="浙江" class="c1" target="_blank">浙江</a>

 <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1007/" title="浙江省" class="c1" target="_blank">浙江省</a> <a href="/tags/1090/" title="绍兴" class="c1" target="_blank">绍兴</a> <a href="/tags/1185/" title="浙江" class="c1" target="_blank">浙江</a>

 <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1007/" title="浙江省" class="c1" target="_blank">浙江省</a> <a href="/tags/1090/" title="绍兴" class="c1" target="_blank">绍兴</a> <a href="/tags/1185/" title="浙江" class="c1" target="_blank">浙江</a>

 <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1007/" title="浙江省" class="c1" target="_blank">浙江省</a> <a href="/tags/1090/" title="绍兴" class="c1" target="_blank">绍兴</a> <a href="/tags/1185/" title="浙江" class="c1" target="_blank">浙江</a>

 <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1007/" title="浙江省" class="c1" target="_blank">浙江省</a> <a href="/tags/1090/" title="绍兴" class="c1" target="_blank">绍兴</a> <a href="/tags/1185/" title="浙江" class="c1" target="_blank">浙江</a>

400

 <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1007/" title="浙江省" class="c1" target="_blank">浙江省</a> <a href="/tags/1090/" title="绍兴" class="c1" target="_blank">绍兴</a> <a href="/tags/1185/" title="浙江" class="c1" target="_blank">浙江</a>

 <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1007/" title="浙江省" class="c1" target="_blank">浙江省</a> <a href="/tags/1090/" title="绍兴" class="c1" target="_blank">绍兴</a> <a href="/tags/1185/" title="浙江" class="c1" target="_blank">浙江</a>

550

 <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1007/" title="浙江省" class="c1" target="_blank">浙江省</a> <a href="/tags/1090/" title="绍兴" class="c1" target="_blank">绍兴</a> <a href="/tags/1185/" title="浙江" class="c1" target="_blank">浙江</a>

 <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1007/" title="浙江省" class="c1" target="_blank">浙江省</a> <a href="/tags/1090/" title="绍兴" class="c1" target="_blank">绍兴</a> <a href="/tags/1185/" title="浙江" class="c1" target="_blank">浙江</a>

30

1)求表中 <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1007/" title="浙江省" class="c1" target="_blank">浙江省</a> <a href="/tags/1090/" title="绍兴" class="c1" target="_blank">绍兴</a> <a href="/tags/1185/" title="浙江" class="c1" target="_blank">浙江</a> 的值及图中 <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1007/" title="浙江省" class="c1" target="_blank">浙江省</a> <a href="/tags/1090/" title="绍兴" class="c1" target="_blank">绍兴</a> <a href="/tags/1185/" title="浙江" class="c1" target="_blank">浙江</a> 组扇形的圆心角的度数.

2)问这些抽样检验的羽毛球中,合格率是多少?如果购得4月份生产的羽毛球10筒(每筒12只),估计所购得的羽毛球中,非合格品的羽毛球有多少只?

Shape14

20.(8分)我国传统的计重工具 <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1007/" title="浙江省" class="c1" target="_blank">浙江省</a> <a href="/tags/1090/" title="绍兴" class="c1" target="_blank">绍兴</a> <a href="/tags/1185/" title="浙江" class="c1" target="_blank">浙江</a> 秤的应用,方便了人们的生活.如图1,可以用秤砣到秤纽的水平距离,来得出秤钩上所挂物体的重量.称重时,若秤杆上秤砣到秤纽的水平距离为 <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1007/" title="浙江省" class="c1" target="_blank">浙江省</a> <a href="/tags/1090/" title="绍兴" class="c1" target="_blank">绍兴</a> <a href="/tags/1185/" title="浙江" class="c1" target="_blank">浙江</a> (厘米)时,秤钩所挂物重为 <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1007/" title="浙江省" class="c1" target="_blank">浙江省</a> <a href="/tags/1090/" title="绍兴" class="c1" target="_blank">绍兴</a> <a href="/tags/1185/" title="浙江" class="c1" target="_blank">浙江</a> (斤 <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1007/" title="浙江省" class="c1" target="_blank">浙江省</a> <a href="/tags/1090/" title="绍兴" class="c1" target="_blank">绍兴</a> <a href="/tags/1185/" title="浙江" class="c1" target="_blank">浙江</a> ,则 <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1007/" title="浙江省" class="c1" target="_blank">浙江省</a> <a href="/tags/1090/" title="绍兴" class="c1" target="_blank">绍兴</a> <a href="/tags/1185/" title="浙江" class="c1" target="_blank">浙江</a>  <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1007/" title="浙江省" class="c1" target="_blank">浙江省</a> <a href="/tags/1090/" title="绍兴" class="c1" target="_blank">绍兴</a> <a href="/tags/1185/" title="浙江" class="c1" target="_blank">浙江</a> 的一次函数.下表中为若干次称重时所记录的一些数据.

 <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1007/" title="浙江省" class="c1" target="_blank">浙江省</a> <a href="/tags/1090/" title="绍兴" class="c1" target="_blank">绍兴</a> <a href="/tags/1185/" title="浙江" class="c1" target="_blank">浙江</a> (厘米)

1

2

4

7

11

12

 <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1007/" title="浙江省" class="c1" target="_blank">浙江省</a> <a href="/tags/1090/" title="绍兴" class="c1" target="_blank">绍兴</a> <a href="/tags/1185/" title="浙江" class="c1" target="_blank">浙江</a> (斤 <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1007/" title="浙江省" class="c1" target="_blank">浙江省</a> <a href="/tags/1090/" title="绍兴" class="c1" target="_blank">绍兴</a> <a href="/tags/1185/" title="浙江" class="c1" target="_blank">浙江</a>

0.75

1.00

1.50

2.75

3.25

3.50

1)在上表 <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1007/" title="浙江省" class="c1" target="_blank">浙江省</a> <a href="/tags/1090/" title="绍兴" class="c1" target="_blank">绍兴</a> <a href="/tags/1185/" title="浙江" class="c1" target="_blank">浙江</a>  <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1007/" title="浙江省" class="c1" target="_blank">浙江省</a> <a href="/tags/1090/" title="绍兴" class="c1" target="_blank">绍兴</a> <a href="/tags/1185/" title="浙江" class="c1" target="_blank">浙江</a> 的数据中,发现有一对数据记录错误.在图2中,通过描点的方法,观察判断哪一对是错误的?

2)根据(1)的发现,问秤杆上秤砣到秤纽的水平距离为16厘米时,秤钩所挂物重是多少?

Shape15

21.(10分)如图1为搭建在地面上的遮阳棚,图2、图3是遮阳棚支架的示意图.遮阳棚支架由相同的菱形和相同的等腰三角形构成,滑块 <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1007/" title="浙江省" class="c1" target="_blank">浙江省</a> <a href="/tags/1090/" title="绍兴" class="c1" target="_blank">绍兴</a> <a href="/tags/1185/" title="浙江" class="c1" target="_blank">浙江</a>  <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1007/" title="浙江省" class="c1" target="_blank">浙江省</a> <a href="/tags/1090/" title="绍兴" class="c1" target="_blank">绍兴</a> <a href="/tags/1185/" title="浙江" class="c1" target="_blank">浙江</a> 可分别沿等长的立柱 <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1007/" title="浙江省" class="c1" target="_blank">浙江省</a> <a href="/tags/1090/" title="绍兴" class="c1" target="_blank">绍兴</a> <a href="/tags/1185/" title="浙江" class="c1" target="_blank">浙江</a>  <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1007/" title="浙江省" class="c1" target="_blank">浙江省</a> <a href="/tags/1090/" title="绍兴" class="c1" target="_blank">绍兴</a> <a href="/tags/1185/" title="浙江" class="c1" target="_blank">浙江</a> 上下移动, <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1007/" title="浙江省" class="c1" target="_blank">浙江省</a> <a href="/tags/1090/" title="绍兴" class="c1" target="_blank">绍兴</a> <a href="/tags/1185/" title="浙江" class="c1" target="_blank">浙江</a>

1)若移动滑块使 <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1007/" title="浙江省" class="c1" target="_blank">浙江省</a> <a href="/tags/1090/" title="绍兴" class="c1" target="_blank">绍兴</a> <a href="/tags/1185/" title="浙江" class="c1" target="_blank">浙江</a> ,求 <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1007/" title="浙江省" class="c1" target="_blank">浙江省</a> <a href="/tags/1090/" title="绍兴" class="c1" target="_blank">绍兴</a> <a href="/tags/1185/" title="浙江" class="c1" target="_blank">浙江</a> 的度数和棚宽 <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1007/" title="浙江省" class="c1" target="_blank">浙江省</a> <a href="/tags/1090/" title="绍兴" class="c1" target="_blank">绍兴</a> <a href="/tags/1185/" title="浙江" class="c1" target="_blank">浙江</a> 的长.

2)当 <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1007/" title="浙江省" class="c1" target="_blank">浙江省</a> <a href="/tags/1090/" title="绍兴" class="c1" target="_blank">绍兴</a> <a href="/tags/1185/" title="浙江" class="c1" target="_blank">浙江</a>  <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1007/" title="浙江省" class="c1" target="_blank">浙江省</a> <a href="/tags/1090/" title="绍兴" class="c1" target="_blank">绍兴</a> <a href="/tags/1185/" title="浙江" class="c1" target="_blank">浙江</a> 变为 <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1007/" title="浙江省" class="c1" target="_blank">浙江省</a> <a href="/tags/1090/" title="绍兴" class="c1" target="_blank">绍兴</a> <a href="/tags/1185/" title="浙江" class="c1" target="_blank">浙江</a> 时,问棚宽 <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1007/" title="浙江省" class="c1" target="_blank">浙江省</a> <a href="/tags/1090/" title="绍兴" class="c1" target="_blank">绍兴</a> <a href="/tags/1185/" title="浙江" class="c1" target="_blank">浙江</a> 是增加还是减少?增加或减少了多少?

(结果精确到 <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1007/" title="浙江省" class="c1" target="_blank">浙江省</a> <a href="/tags/1090/" title="绍兴" class="c1" target="_blank">绍兴</a> <a href="/tags/1185/" title="浙江" class="c1" target="_blank">浙江</a> ,参考数据: <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1007/" title="浙江省" class="c1" target="_blank">浙江省</a> <a href="/tags/1090/" title="绍兴" class="c1" target="_blank">绍兴</a> <a href="/tags/1185/" title="浙江" class="c1" target="_blank">浙江</a>  <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1007/" title="浙江省" class="c1" target="_blank">浙江省</a> <a href="/tags/1090/" title="绍兴" class="c1" target="_blank">绍兴</a> <a href="/tags/1185/" title="浙江" class="c1" target="_blank">浙江</a>  <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1007/" title="浙江省" class="c1" target="_blank">浙江省</a> <a href="/tags/1090/" title="绍兴" class="c1" target="_blank">绍兴</a> <a href="/tags/1185/" title="浙江" class="c1" target="_blank">浙江</a>  <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1007/" title="浙江省" class="c1" target="_blank">浙江省</a> <a href="/tags/1090/" title="绍兴" class="c1" target="_blank">绍兴</a> <a href="/tags/1185/" title="浙江" class="c1" target="_blank">浙江</a>

Shape16

22.(12分)问题:如图,在 <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1007/" title="浙江省" class="c1" target="_blank">浙江省</a> <a href="/tags/1090/" title="绍兴" class="c1" target="_blank">绍兴</a> <a href="/tags/1185/" title="浙江" class="c1" target="_blank">浙江</a> 中, <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1007/" title="浙江省" class="c1" target="_blank">浙江省</a> <a href="/tags/1090/" title="绍兴" class="c1" target="_blank">绍兴</a> <a href="/tags/1185/" title="浙江" class="c1" target="_blank">浙江</a> .在 <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1007/" title="浙江省" class="c1" target="_blank">浙江省</a> <a href="/tags/1090/" title="绍兴" class="c1" target="_blank">绍兴</a> <a href="/tags/1185/" title="浙江" class="c1" target="_blank">浙江</a> 的延长线上取点 <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1007/" title="浙江省" class="c1" target="_blank">浙江省</a> <a href="/tags/1090/" title="绍兴" class="c1" target="_blank">绍兴</a> <a href="/tags/1185/" title="浙江" class="c1" target="_blank">浙江</a>  <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1007/" title="浙江省" class="c1" target="_blank">浙江省</a> <a href="/tags/1090/" title="绍兴" class="c1" target="_blank">绍兴</a> <a href="/tags/1185/" title="浙江" class="c1" target="_blank">浙江</a> ,作 <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1007/" title="浙江省" class="c1" target="_blank">浙江省</a> <a href="/tags/1090/" title="绍兴" class="c1" target="_blank">绍兴</a> <a href="/tags/1185/" title="浙江" class="c1" target="_blank">浙江</a> ,使 <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1007/" title="浙江省" class="c1" target="_blank">浙江省</a> <a href="/tags/1090/" title="绍兴" class="c1" target="_blank">绍兴</a> <a href="/tags/1185/" title="浙江" class="c1" target="_blank">浙江</a> .若 <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1007/" title="浙江省" class="c1" target="_blank">浙江省</a> <a href="/tags/1090/" title="绍兴" class="c1" target="_blank">绍兴</a> <a href="/tags/1185/" title="浙江" class="c1" target="_blank">浙江</a>  <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1007/" title="浙江省" class="c1" target="_blank">浙江省</a> <a href="/tags/1090/" title="绍兴" class="c1" target="_blank">绍兴</a> <a href="/tags/1185/" title="浙江" class="c1" target="_blank">浙江</a> ,求 <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1007/" title="浙江省" class="c1" target="_blank">浙江省</a> <a href="/tags/1090/" title="绍兴" class="c1" target="_blank">绍兴</a> <a href="/tags/1185/" title="浙江" class="c1" target="_blank">浙江</a> 的度数.

答案: <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1007/" title="浙江省" class="c1" target="_blank">浙江省</a> <a href="/tags/1090/" title="绍兴" class="c1" target="_blank">绍兴</a> <a href="/tags/1185/" title="浙江" class="c1" target="_blank">浙江</a>

思考:(1)如果把以上“问题”中的条件“ <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1007/" title="浙江省" class="c1" target="_blank">浙江省</a> <a href="/tags/1090/" title="绍兴" class="c1" target="_blank">绍兴</a> <a href="/tags/1185/" title="浙江" class="c1" target="_blank">浙江</a> ”去掉,其余条件不变,那么 <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1007/" title="浙江省" class="c1" target="_blank">浙江省</a> <a href="/tags/1090/" title="绍兴" class="c1" target="_blank">绍兴</a> <a href="/tags/1185/" title="浙江" class="c1" target="_blank">浙江</a> 的度数会改变吗?说明理由.

2)如果把以上“问题”中的条件“ <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1007/" title="浙江省" class="c1" target="_blank">浙江省</a> <a href="/tags/1090/" title="绍兴" class="c1" target="_blank">绍兴</a> <a href="/tags/1185/" title="浙江" class="c1" target="_blank">浙江</a> ”去掉,再将“ <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1007/" title="浙江省" class="c1" target="_blank">浙江省</a> <a href="/tags/1090/" title="绍兴" class="c1" target="_blank">绍兴</a> <a href="/tags/1185/" title="浙江" class="c1" target="_blank">浙江</a> ”改为“ <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1007/" title="浙江省" class="c1" target="_blank">浙江省</a> <a href="/tags/1090/" title="绍兴" class="c1" target="_blank">绍兴</a> <a href="/tags/1185/" title="浙江" class="c1" target="_blank">浙江</a> ”,其余条件不变,求 <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1007/" title="浙江省" class="c1" target="_blank">浙江省</a> <a href="/tags/1090/" title="绍兴" class="c1" target="_blank">绍兴</a> <a href="/tags/1185/" title="浙江" class="c1" target="_blank">浙江</a> 的度数.

Shape17

23.(12分)如图1,排球场长为 <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1007/" title="浙江省" class="c1" target="_blank">浙江省</a> <a href="/tags/1090/" title="绍兴" class="c1" target="_blank">绍兴</a> <a href="/tags/1185/" title="浙江" class="c1" target="_blank">浙江</a> ,宽为 <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1007/" title="浙江省" class="c1" target="_blank">浙江省</a> <a href="/tags/1090/" title="绍兴" class="c1" target="_blank">绍兴</a> <a href="/tags/1185/" title="浙江" class="c1" target="_blank">浙江</a> ,网高为 <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1007/" title="浙江省" class="c1" target="_blank">浙江省</a> <a href="/tags/1090/" title="绍兴" class="c1" target="_blank">绍兴</a> <a href="/tags/1185/" title="浙江" class="c1" target="_blank">浙江</a> ,队员站在底线 <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1007/" title="浙江省" class="c1" target="_blank">浙江省</a> <a href="/tags/1090/" title="绍兴" class="c1" target="_blank">绍兴</a> <a href="/tags/1185/" title="浙江" class="c1" target="_blank">浙江</a> 点处发球,球从点 <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1007/" title="浙江省" class="c1" target="_blank">浙江省</a> <a href="/tags/1090/" title="绍兴" class="c1" target="_blank">绍兴</a> <a href="/tags/1185/" title="浙江" class="c1" target="_blank">浙江</a> 的正上方 <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1007/" title="浙江省" class="c1" target="_blank">浙江省</a> <a href="/tags/1090/" title="绍兴" class="c1" target="_blank">绍兴</a> <a href="/tags/1185/" title="浙江" class="c1" target="_blank">浙江</a>  <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1007/" title="浙江省" class="c1" target="_blank">浙江省</a> <a href="/tags/1090/" title="绍兴" class="c1" target="_blank">绍兴</a> <a href="/tags/1185/" title="浙江" class="c1" target="_blank">浙江</a> 点发出,运动路线是抛物线的一部分,当球运动到最高点 <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1007/" title="浙江省" class="c1" target="_blank">浙江省</a> <a href="/tags/1090/" title="绍兴" class="c1" target="_blank">绍兴</a> <a href="/tags/1185/" title="浙江" class="c1" target="_blank">浙江</a> 时,高度为 <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1007/" title="浙江省" class="c1" target="_blank">浙江省</a> <a href="/tags/1090/" title="绍兴" class="c1" target="_blank">绍兴</a> <a href="/tags/1185/" title="浙江" class="c1" target="_blank">浙江</a> ,即 <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1007/" title="浙江省" class="c1" target="_blank">浙江省</a> <a href="/tags/1090/" title="绍兴" class="c1" target="_blank">绍兴</a> <a href="/tags/1185/" title="浙江" class="c1" target="_blank">浙江</a> ,这时水平距离 <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1007/" title="浙江省" class="c1" target="_blank">浙江省</a> <a href="/tags/1090/" title="绍兴" class="c1" target="_blank">绍兴</a> <a href="/tags/1185/" title="浙江" class="c1" target="_blank">浙江</a> ,以直线 <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1007/" title="浙江省" class="c1" target="_blank">浙江省</a> <a href="/tags/1090/" title="绍兴" class="c1" target="_blank">绍兴</a> <a href="/tags/1185/" title="浙江" class="c1" target="_blank">浙江</a>  <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1007/" title="浙江省" class="c1" target="_blank">浙江省</a> <a href="/tags/1090/" title="绍兴" class="c1" target="_blank">绍兴</a> <a href="/tags/1185/" title="浙江" class="c1" target="_blank">浙江</a> 轴,直线 <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1007/" title="浙江省" class="c1" target="_blank">浙江省</a> <a href="/tags/1090/" title="绍兴" class="c1" target="_blank">绍兴</a> <a href="/tags/1185/" title="浙江" class="c1" target="_blank">浙江</a>  <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1007/" title="浙江省" class="c1" target="_blank">浙江省</a> <a href="/tags/1090/" title="绍兴" class="c1" target="_blank">绍兴</a> <a href="/tags/1185/" title="浙江" class="c1" target="_blank">浙江</a> 轴,建立平面直角坐标系,如图2

1)若球向正前方运动(即 <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1007/" title="浙江省" class="c1" target="_blank">浙江省</a> <a href="/tags/1090/" title="绍兴" class="c1" target="_blank">绍兴</a> <a href="/tags/1185/" title="浙江" class="c1" target="_blank">浙江</a> 轴垂直于底线),求球运动的高度 <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1007/" title="浙江省" class="c1" target="_blank">浙江省</a> <a href="/tags/1090/" title="绍兴" class="c1" target="_blank">绍兴</a> <a href="/tags/1185/" title="浙江" class="c1" target="_blank">浙江</a> 与水平距离 <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1007/" title="浙江省" class="c1" target="_blank">浙江省</a> <a href="/tags/1090/" title="绍兴" class="c1" target="_blank">绍兴</a> <a href="/tags/1185/" title="浙江" class="c1" target="_blank">浙江</a> 之间的函数关系式(不必写出 <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1007/" title="浙江省" class="c1" target="_blank">浙江省</a> <a href="/tags/1090/" title="绍兴" class="c1" target="_blank">绍兴</a> <a href="/tags/1185/" title="浙江" class="c1" target="_blank">浙江</a> 取值范围).并判断这次发球能否过网?是否出界?说明理由.

2)若球过网后的落点是对方场地号位内的点 <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1007/" title="浙江省" class="c1" target="_blank">浙江省</a> <a href="/tags/1090/" title="绍兴" class="c1" target="_blank">绍兴</a> <a href="/tags/1185/" title="浙江" class="c1" target="_blank">浙江</a> (如图1,点 <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1007/" title="浙江省" class="c1" target="_blank">浙江省</a> <a href="/tags/1090/" title="绍兴" class="c1" target="_blank">绍兴</a> <a href="/tags/1185/" title="浙江" class="c1" target="_blank">浙江</a> 距底线 <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1007/" title="浙江省" class="c1" target="_blank">浙江省</a> <a href="/tags/1090/" title="绍兴" class="c1" target="_blank">绍兴</a> <a href="/tags/1185/" title="浙江" class="c1" target="_blank">浙江</a> ,边线 <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1007/" title="浙江省" class="c1" target="_blank">浙江省</a> <a href="/tags/1090/" title="绍兴" class="c1" target="_blank">绍兴</a> <a href="/tags/1185/" title="浙江" class="c1" target="_blank">浙江</a> ,问发球点 <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1007/" title="浙江省" class="c1" target="_blank">浙江省</a> <a href="/tags/1090/" title="绍兴" class="c1" target="_blank">绍兴</a> <a href="/tags/1185/" title="浙江" class="c1" target="_blank">浙江</a> 在底线上的哪个位置?(参考数据: <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1007/" title="浙江省" class="c1" target="_blank">浙江省</a> <a href="/tags/1090/" title="绍兴" class="c1" target="_blank">绍兴</a> <a href="/tags/1185/" title="浙江" class="c1" target="_blank">浙江</a>  <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1007/" title="浙江省" class="c1" target="_blank">浙江省</a> <a href="/tags/1090/" title="绍兴" class="c1" target="_blank">绍兴</a> <a href="/tags/1185/" title="浙江" class="c1" target="_blank">浙江</a>

Shape18

24.(14分)如图1,矩形 <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1007/" title="浙江省" class="c1" target="_blank">浙江省</a> <a href="/tags/1090/" title="绍兴" class="c1" target="_blank">绍兴</a> <a href="/tags/1185/" title="浙江" class="c1" target="_blank">浙江</a> 中, <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1007/" title="浙江省" class="c1" target="_blank">浙江省</a> <a href="/tags/1090/" title="绍兴" class="c1" target="_blank">绍兴</a> <a href="/tags/1185/" title="浙江" class="c1" target="_blank">浙江</a>  <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1007/" title="浙江省" class="c1" target="_blank">浙江省</a> <a href="/tags/1090/" title="绍兴" class="c1" target="_blank">绍兴</a> <a href="/tags/1185/" title="浙江" class="c1" target="_blank">浙江</a>  <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1007/" title="浙江省" class="c1" target="_blank">浙江省</a> <a href="/tags/1090/" title="绍兴" class="c1" target="_blank">绍兴</a> <a href="/tags/1185/" title="浙江" class="c1" target="_blank">浙江</a> 中, <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1007/" title="浙江省" class="c1" target="_blank">浙江省</a> <a href="/tags/1090/" title="绍兴" class="c1" target="_blank">绍兴</a> <a href="/tags/1185/" title="浙江" class="c1" target="_blank">浙江</a>  <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1007/" title="浙江省" class="c1" target="_blank">浙江省</a> <a href="/tags/1090/" title="绍兴" class="c1" target="_blank">绍兴</a> <a href="/tags/1185/" title="浙江" class="c1" target="_blank">浙江</a>  <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1007/" title="浙江省" class="c1" target="_blank">浙江省</a> <a href="/tags/1090/" title="绍兴" class="c1" target="_blank">绍兴</a> <a href="/tags/1185/" title="浙江" class="c1" target="_blank">浙江</a>  <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1007/" title="浙江省" class="c1" target="_blank">浙江省</a> <a href="/tags/1090/" title="绍兴" class="c1" target="_blank">绍兴</a> <a href="/tags/1185/" title="浙江" class="c1" target="_blank">浙江</a> 的延长线相交于点 <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1007/" title="浙江省" class="c1" target="_blank">浙江省</a> <a href="/tags/1090/" title="绍兴" class="c1" target="_blank">绍兴</a> <a href="/tags/1185/" title="浙江" class="c1" target="_blank">浙江</a> ,且 <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1007/" title="浙江省" class="c1" target="_blank">浙江省</a> <a href="/tags/1090/" title="绍兴" class="c1" target="_blank">绍兴</a> <a href="/tags/1185/" title="浙江" class="c1" target="_blank">浙江</a>  <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1007/" title="浙江省" class="c1" target="_blank">浙江省</a> <a href="/tags/1090/" title="绍兴" class="c1" target="_blank">绍兴</a> <a href="/tags/1185/" title="浙江" class="c1" target="_blank">浙江</a>  <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1007/" title="浙江省" class="c1" target="_blank">浙江省</a> <a href="/tags/1090/" title="绍兴" class="c1" target="_blank">绍兴</a> <a href="/tags/1185/" title="浙江" class="c1" target="_blank">浙江</a> .将 <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1007/" title="浙江省" class="c1" target="_blank">浙江省</a> <a href="/tags/1090/" title="绍兴" class="c1" target="_blank">绍兴</a> <a href="/tags/1185/" title="浙江" class="c1" target="_blank">浙江</a> 绕点 <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1007/" title="浙江省" class="c1" target="_blank">浙江省</a> <a href="/tags/1090/" title="绍兴" class="c1" target="_blank">绍兴</a> <a href="/tags/1185/" title="浙江" class="c1" target="_blank">浙江</a> 逆时针旋转 <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1007/" title="浙江省" class="c1" target="_blank">浙江省</a> <a href="/tags/1090/" title="绍兴" class="c1" target="_blank">绍兴</a> <a href="/tags/1185/" title="浙江" class="c1" target="_blank">浙江</a> 得到△ <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1007/" title="浙江省" class="c1" target="_blank">浙江省</a> <a href="/tags/1090/" title="绍兴" class="c1" target="_blank">绍兴</a> <a href="/tags/1185/" title="浙江" class="c1" target="_blank">浙江</a>

1)当 <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1007/" title="浙江省" class="c1" target="_blank">浙江省</a> <a href="/tags/1090/" title="绍兴" class="c1" target="_blank">绍兴</a> <a href="/tags/1185/" title="浙江" class="c1" target="_blank">浙江</a> 时,求点 <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1007/" title="浙江省" class="c1" target="_blank">浙江省</a> <a href="/tags/1090/" title="绍兴" class="c1" target="_blank">绍兴</a> <a href="/tags/1185/" title="浙江" class="c1" target="_blank">浙江</a> 到直线 <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1007/" title="浙江省" class="c1" target="_blank">浙江省</a> <a href="/tags/1090/" title="绍兴" class="c1" target="_blank">绍兴</a> <a href="/tags/1185/" title="浙江" class="c1" target="_blank">浙江</a> 的距离.

2)在图1中,取 <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1007/" title="浙江省" class="c1" target="_blank">浙江省</a> <a href="/tags/1090/" title="绍兴" class="c1" target="_blank">绍兴</a> <a href="/tags/1185/" title="浙江" class="c1" target="_blank">浙江</a> 的中点 <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1007/" title="浙江省" class="c1" target="_blank">浙江省</a> <a href="/tags/1090/" title="绍兴" class="c1" target="_blank">绍兴</a> <a href="/tags/1185/" title="浙江" class="c1" target="_blank">浙江</a> ,连结 <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1007/" title="浙江省" class="c1" target="_blank">浙江省</a> <a href="/tags/1090/" title="绍兴" class="c1" target="_blank">绍兴</a> <a href="/tags/1185/" title="浙江" class="c1" target="_blank">浙江</a> ,如图2

 <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1007/" title="浙江省" class="c1" target="_blank">浙江省</a> <a href="/tags/1090/" title="绍兴" class="c1" target="_blank">绍兴</a> <a href="/tags/1185/" title="浙江" class="c1" target="_blank">浙江</a> 与矩形 <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1007/" title="浙江省" class="c1" target="_blank">浙江省</a> <a href="/tags/1090/" title="绍兴" class="c1" target="_blank">绍兴</a> <a href="/tags/1185/" title="浙江" class="c1" target="_blank">浙江</a> 的一条边平行时,求点 <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1007/" title="浙江省" class="c1" target="_blank">浙江省</a> <a href="/tags/1090/" title="绍兴" class="c1" target="_blank">绍兴</a> <a href="/tags/1185/" title="浙江" class="c1" target="_blank">浙江</a> 到直线 <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1007/" title="浙江省" class="c1" target="_blank">浙江省</a> <a href="/tags/1090/" title="绍兴" class="c1" target="_blank">绍兴</a> <a href="/tags/1185/" title="浙江" class="c1" target="_blank">浙江</a> 的距离.

当线段 <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1007/" title="浙江省" class="c1" target="_blank">浙江省</a> <a href="/tags/1090/" title="绍兴" class="c1" target="_blank">绍兴</a> <a href="/tags/1185/" title="浙江" class="c1" target="_blank">浙江</a> 与矩形 <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1007/" title="浙江省" class="c1" target="_blank">浙江省</a> <a href="/tags/1090/" title="绍兴" class="c1" target="_blank">绍兴</a> <a href="/tags/1185/" title="浙江" class="c1" target="_blank">浙江</a> 的边有且只有一个交点时,求该交点到直线 <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1007/" title="浙江省" class="c1" target="_blank">浙江省</a> <a href="/tags/1090/" title="绍兴" class="c1" target="_blank">绍兴</a> <a href="/tags/1185/" title="浙江" class="c1" target="_blank">浙江</a> 的距离的取值范围.

Shape19


2020年浙江省绍兴市中考数学试卷

参考答案与试题解析

一、选择题(本大题有10小题,每小题4分,共40分.请选出每小题中一个最符合题意的选项,不选、多选、错选,均不给分)

1.(4分)实数20 <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1007/" title="浙江省" class="c1" target="_blank">浙江省</a> <a href="/tags/1090/" title="绍兴" class="c1" target="_blank">绍兴</a> <a href="/tags/1185/" title="浙江" class="c1" target="_blank">浙江</a>  <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1007/" title="浙江省" class="c1" target="_blank">浙江省</a> <a href="/tags/1090/" title="绍兴" class="c1" target="_blank">绍兴</a> <a href="/tags/1185/" title="浙江" class="c1" target="_blank">浙江</a> 中,为负数的是 <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1007/" title="浙江省" class="c1" target="_blank">浙江省</a> <a href="/tags/1090/" title="绍兴" class="c1" target="_blank">绍兴</a> <a href="/tags/1185/" title="浙江" class="c1" target="_blank">浙江</a>    <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1007/" title="浙江省" class="c1" target="_blank">浙江省</a> <a href="/tags/1090/" title="绍兴" class="c1" target="_blank">绍兴</a> <a href="/tags/1185/" title="浙江" class="c1" target="_blank">浙江</a>

A2 B0 C <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1007/" title="浙江省" class="c1" target="_blank">浙江省</a> <a href="/tags/1090/" title="绍兴" class="c1" target="_blank">绍兴</a> <a href="/tags/1185/" title="浙江" class="c1" target="_blank">浙江</a> D <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1007/" title="浙江省" class="c1" target="_blank">浙江省</a> <a href="/tags/1090/" title="绍兴" class="c1" target="_blank">绍兴</a> <a href="/tags/1185/" title="浙江" class="c1" target="_blank">浙江</a>

【分析】根据负数定义可得答案.

【解答】解:实数20 <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1007/" title="浙江省" class="c1" target="_blank">浙江省</a> <a href="/tags/1090/" title="绍兴" class="c1" target="_blank">绍兴</a> <a href="/tags/1185/" title="浙江" class="c1" target="_blank">浙江</a>  <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1007/" title="浙江省" class="c1" target="_blank">浙江省</a> <a href="/tags/1090/" title="绍兴" class="c1" target="_blank">绍兴</a> <a href="/tags/1185/" title="浙江" class="c1" target="_blank">浙江</a> 中,为负数的是 <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1007/" title="浙江省" class="c1" target="_blank">浙江省</a> <a href="/tags/1090/" title="绍兴" class="c1" target="_blank">绍兴</a> <a href="/tags/1185/" title="浙江" class="c1" target="_blank">浙江</a>

故选: <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1007/" title="浙江省" class="c1" target="_blank">浙江省</a> <a href="/tags/1090/" title="绍兴" class="c1" target="_blank">绍兴</a> <a href="/tags/1185/" title="浙江" class="c1" target="_blank">浙江</a>

【点评】此题主要考查了实数,关键是掌握负数定义.

2.(4分)某自动控制器的芯片,可植入2020000000粒晶体管,这个数字2020000000用科学记数法可表示为 <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1007/" title="浙江省" class="c1" target="_blank">浙江省</a> <a href="/tags/1090/" title="绍兴" class="c1" target="_blank">绍兴</a> <a href="/tags/1185/" title="浙江" class="c1" target="_blank">浙江</a>    <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1007/" title="浙江省" class="c1" target="_blank">浙江省</a> <a href="/tags/1090/" title="绍兴" class="c1" target="_blank">绍兴</a> <a href="/tags/1185/" title="浙江" class="c1" target="_blank">浙江</a>

A <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1007/" title="浙江省" class="c1" target="_blank">浙江省</a> <a href="/tags/1090/" title="绍兴" class="c1" target="_blank">绍兴</a> <a href="/tags/1185/" title="浙江" class="c1" target="_blank">浙江</a> B <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1007/" title="浙江省" class="c1" target="_blank">浙江省</a> <a href="/tags/1090/" title="绍兴" class="c1" target="_blank">绍兴</a> <a href="/tags/1185/" title="浙江" class="c1" target="_blank">浙江</a> C <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1007/" title="浙江省" class="c1" target="_blank">浙江省</a> <a href="/tags/1090/" title="绍兴" class="c1" target="_blank">绍兴</a> <a href="/tags/1185/" title="浙江" class="c1" target="_blank">浙江</a> D <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1007/" title="浙江省" class="c1" target="_blank">浙江省</a> <a href="/tags/1090/" title="绍兴" class="c1" target="_blank">绍兴</a> <a href="/tags/1185/" title="浙江" class="c1" target="_blank">浙江</a>

【分析】科学记数法的表示形式为 <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1007/" title="浙江省" class="c1" target="_blank">浙江省</a> <a href="/tags/1090/" title="绍兴" class="c1" target="_blank">绍兴</a> <a href="/tags/1185/" title="浙江" class="c1" target="_blank">浙江</a> 的形式,其中 <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1007/" title="浙江省" class="c1" target="_blank">浙江省</a> <a href="/tags/1090/" title="绍兴" class="c1" target="_blank">绍兴</a> <a href="/tags/1185/" title="浙江" class="c1" target="_blank">浙江</a>  <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1007/" title="浙江省" class="c1" target="_blank">浙江省</a> <a href="/tags/1090/" title="绍兴" class="c1" target="_blank">绍兴</a> <a href="/tags/1185/" title="浙江" class="c1" target="_blank">浙江</a> 为整数.确定 <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1007/" title="浙江省" class="c1" target="_blank">浙江省</a> <a href="/tags/1090/" title="绍兴" class="c1" target="_blank">绍兴</a> <a href="/tags/1185/" title="浙江" class="c1" target="_blank">浙江</a> 的值时,要看把原数变成 <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1007/" title="浙江省" class="c1" target="_blank">浙江省</a> <a href="/tags/1090/" title="绍兴" class="c1" target="_blank">绍兴</a> <a href="/tags/1185/" title="浙江" class="c1" target="_blank">浙江</a> 时,小数点移动了多少位, <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1007/" title="浙江省" class="c1" target="_blank">浙江省</a> <a href="/tags/1090/" title="绍兴" class="c1" target="_blank">绍兴</a> <a href="/tags/1185/" title="浙江" class="c1" target="_blank">浙江</a> 的绝对值与小数点移动的位数相同.

【解答】解: <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1007/" title="浙江省" class="c1" target="_blank">浙江省</a> <a href="/tags/1090/" title="绍兴" class="c1" target="_blank">绍兴</a> <a href="/tags/1185/" title="浙江" class="c1" target="_blank">浙江</a>

故选: <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1007/" title="浙江省" class="c1" target="_blank">浙江省</a> <a href="/tags/1090/" title="绍兴" class="c1" target="_blank">绍兴</a> <a href="/tags/1185/" title="浙江" class="c1" target="_blank">浙江</a>

【点评】此题考查科学记数法的表示方法,表示时关键要正确确定 <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1007/" title="浙江省" class="c1" target="_blank">浙江省</a> <a href="/tags/1090/" title="绍兴" class="c1" target="_blank">绍兴</a> <a href="/tags/1185/" title="浙江" class="c1" target="_blank">浙江</a> 的值以及 <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1007/" title="浙江省" class="c1" target="_blank">浙江省</a> <a href="/tags/1090/" title="绍兴" class="c1" target="_blank">绍兴</a> <a href="/tags/1185/" title="浙江" class="c1" target="_blank">浙江</a> 的值.

3.(4分)将如图的七巧板的其中几块,拼成一个多边形,为中心对称图形的是 <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1007/" title="浙江省" class="c1" target="_blank">浙江省</a> <a href="/tags/1090/" title="绍兴" class="c1" target="_blank">绍兴</a> <a href="/tags/1185/" title="浙江" class="c1" target="_blank">浙江</a>    <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1007/" title="浙江省" class="c1" target="_blank">浙江省</a> <a href="/tags/1090/" title="绍兴" class="c1" target="_blank">绍兴</a> <a href="/tags/1185/" title="浙江" class="c1" target="_blank">浙江</a>

Shape20

AShape21 BShape22

CShape23 DShape24

【分析】根据中心对称的定义,结合所给图形即可作出判断.

【解答】解: <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1007/" title="浙江省" class="c1" target="_blank">浙江省</a> <a href="/tags/1090/" title="绍兴" class="c1" target="_blank">绍兴</a> <a href="/tags/1185/" title="浙江" class="c1" target="_blank">浙江</a> 、不是中心对称图形,故本选项不符合题意;

 <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1007/" title="浙江省" class="c1" target="_blank">浙江省</a> <a href="/tags/1090/" title="绍兴" class="c1" target="_blank">绍兴</a> <a href="/tags/1185/" title="浙江" class="c1" target="_blank">浙江</a> 、不是中心对称图形,故本选项不符合题意;

 <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1007/" title="浙江省" class="c1" target="_blank">浙江省</a> <a href="/tags/1090/" title="绍兴" class="c1" target="_blank">绍兴</a> <a href="/tags/1185/" title="浙江" class="c1" target="_blank">浙江</a> 、不是中心对称图形,故本选项不符合题意;

 <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1007/" title="浙江省" class="c1" target="_blank">浙江省</a> <a href="/tags/1090/" title="绍兴" class="c1" target="_blank">绍兴</a> <a href="/tags/1185/" title="浙江" class="c1" target="_blank">浙江</a> 、是中心对称图形,故本选项符合题意.

故选: <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1007/" title="浙江省" class="c1" target="_blank">浙江省</a> <a href="/tags/1090/" title="绍兴" class="c1" target="_blank">绍兴</a> <a href="/tags/1185/" title="浙江" class="c1" target="_blank">浙江</a>

【点评】本题考查了中心对称图形的特点,属于基础题,判断中心对称图形的关键是旋转 <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1007/" title="浙江省" class="c1" target="_blank">浙江省</a> <a href="/tags/1090/" title="绍兴" class="c1" target="_blank">绍兴</a> <a href="/tags/1185/" title="浙江" class="c1" target="_blank">浙江</a> 后能够重合.

4.(4分)如图,点 <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1007/" title="浙江省" class="c1" target="_blank">浙江省</a> <a href="/tags/1090/" title="绍兴" class="c1" target="_blank">绍兴</a> <a href="/tags/1185/" title="浙江" class="c1" target="_blank">浙江</a>  <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1007/" title="浙江省" class="c1" target="_blank">浙江省</a> <a href="/tags/1090/" title="绍兴" class="c1" target="_blank">绍兴</a> <a href="/tags/1185/" title="浙江" class="c1" target="_blank">浙江</a>  <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1007/" title="浙江省" class="c1" target="_blank">浙江省</a> <a href="/tags/1090/" title="绍兴" class="c1" target="_blank">绍兴</a> <a href="/tags/1185/" title="浙江" class="c1" target="_blank">浙江</a>  <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1007/" title="浙江省" class="c1" target="_blank">浙江省</a> <a href="/tags/1090/" title="绍兴" class="c1" target="_blank">绍兴</a> <a href="/tags/1185/" title="浙江" class="c1" target="_blank">浙江</a>  <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1007/" title="浙江省" class="c1" target="_blank">浙江省</a> <a href="/tags/1090/" title="绍兴" class="c1" target="_blank">绍兴</a> <a href="/tags/1185/" title="浙江" class="c1" target="_blank">浙江</a> 均在 <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1007/" title="浙江省" class="c1" target="_blank">浙江省</a> <a href="/tags/1090/" title="绍兴" class="c1" target="_blank">绍兴</a> <a href="/tags/1185/" title="浙江" class="c1" target="_blank">浙江</a> 上, <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1007/" title="浙江省" class="c1" target="_blank">浙江省</a> <a href="/tags/1090/" title="绍兴" class="c1" target="_blank">绍兴</a> <a href="/tags/1185/" title="浙江" class="c1" target="_blank">浙江</a>  <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1007/" title="浙江省" class="c1" target="_blank">浙江省</a> <a href="/tags/1090/" title="绍兴" class="c1" target="_blank">绍兴</a> <a href="/tags/1185/" title="浙江" class="c1" target="_blank">浙江</a> ,则 <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1007/" title="浙江省" class="c1" target="_blank">浙江省</a> <a href="/tags/1090/" title="绍兴" class="c1" target="_blank">绍兴</a> <a href="/tags/1185/" title="浙江" class="c1" target="_blank">浙江</a> 的度数为 <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1007/" title="浙江省" class="c1" target="_blank">浙江省</a> <a href="/tags/1090/" title="绍兴" class="c1" target="_blank">绍兴</a> <a href="/tags/1185/" title="浙江" class="c1" target="_blank">浙江</a>    <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1007/" title="浙江省" class="c1" target="_blank">浙江省</a> <a href="/tags/1090/" title="绍兴" class="c1" target="_blank">绍兴</a> <a href="/tags/1185/" title="浙江" class="c1" target="_blank">浙江</a>

Shape25

A <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1007/" title="浙江省" class="c1" target="_blank">浙江省</a> <a href="/tags/1090/" title="绍兴" class="c1" target="_blank">绍兴</a> <a href="/tags/1185/" title="浙江" class="c1" target="_blank">浙江</a> B <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1007/" title="浙江省" class="c1" target="_blank">浙江省</a> <a href="/tags/1090/" title="绍兴" class="c1" target="_blank">绍兴</a> <a href="/tags/1185/" title="浙江" class="c1" target="_blank">浙江</a> C <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1007/" title="浙江省" class="c1" target="_blank">浙江省</a> <a href="/tags/1090/" title="绍兴" class="c1" target="_blank">绍兴</a> <a href="/tags/1185/" title="浙江" class="c1" target="_blank">浙江</a> D <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1007/" title="浙江省" class="c1" target="_blank">浙江省</a> <a href="/tags/1090/" title="绍兴" class="c1" target="_blank">绍兴</a> <a href="/tags/1185/" title="浙江" class="c1" target="_blank">浙江</a>

【分析】首先连接 <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1007/" title="浙江省" class="c1" target="_blank">浙江省</a> <a href="/tags/1090/" title="绍兴" class="c1" target="_blank">绍兴</a> <a href="/tags/1185/" title="浙江" class="c1" target="_blank">浙江</a> ,由圆周角定理即可得 <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1007/" title="浙江省" class="c1" target="_blank">浙江省</a> <a href="/tags/1090/" title="绍兴" class="c1" target="_blank">绍兴</a> <a href="/tags/1185/" title="浙江" class="c1" target="_blank">浙江</a> 的度数,继而求得 <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1007/" title="浙江省" class="c1" target="_blank">浙江省</a> <a href="/tags/1090/" title="绍兴" class="c1" target="_blank">绍兴</a> <a href="/tags/1185/" title="浙江" class="c1" target="_blank">浙江</a> 的度数,然后由圆周角定理,求得 <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1007/" title="浙江省" class="c1" target="_blank">浙江省</a> <a href="/tags/1090/" title="绍兴" class="c1" target="_blank">绍兴</a> <a href="/tags/1185/" title="浙江" class="c1" target="_blank">浙江</a> 的度数.

【解答】解:连接 <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1007/" title="浙江省" class="c1" target="_blank">浙江省</a> <a href="/tags/1090/" title="绍兴" class="c1" target="_blank">绍兴</a> <a href="/tags/1185/" title="浙江" class="c1" target="_blank">浙江</a>

Shape26

 <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1007/" title="浙江省" class="c1" target="_blank">浙江省</a> <a href="/tags/1090/" title="绍兴" class="c1" target="_blank">绍兴</a> <a href="/tags/1185/" title="浙江" class="c1" target="_blank">浙江</a>  <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1007/" title="浙江省" class="c1" target="_blank">浙江省</a> <a href="/tags/1090/" title="绍兴" class="c1" target="_blank">绍兴</a> <a href="/tags/1185/" title="浙江" class="c1" target="_blank">浙江</a>

 <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1007/" title="浙江省" class="c1" target="_blank">浙江省</a> <a href="/tags/1090/" title="绍兴" class="c1" target="_blank">绍兴</a> <a href="/tags/1185/" title="浙江" class="c1" target="_blank">浙江</a>

 <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1007/" title="浙江省" class="c1" target="_blank">浙江省</a> <a href="/tags/1090/" title="绍兴" class="c1" target="_blank">绍兴</a> <a href="/tags/1185/" title="浙江" class="c1" target="_blank">浙江</a>

故选: <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1007/" title="浙江省" class="c1" target="_blank">浙江省</a> <a href="/tags/1090/" title="绍兴" class="c1" target="_blank">绍兴</a> <a href="/tags/1185/" title="浙江" class="c1" target="_blank">浙江</a>

【点评】此题考查了圆周角定理.注意准确作出辅助线是解此题的关键.

5.(4分)如图,三角板在灯光照射下形成投影,三角板与其投影的相似比为 <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1007/" title="浙江省" class="c1" target="_blank">浙江省</a> <a href="/tags/1090/" title="绍兴" class="c1" target="_blank">绍兴</a> <a href="/tags/1185/" title="浙江" class="c1" target="_blank">浙江</a> ,且三角板的一边长为 <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1007/" title="浙江省" class="c1" target="_blank">浙江省</a> <a href="/tags/1090/" title="绍兴" class="c1" target="_blank">绍兴</a> <a href="/tags/1185/" title="浙江" class="c1" target="_blank">浙江</a> .则投影三角板的对应边长为 <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1007/" title="浙江省" class="c1" target="_blank">浙江省</a> <a href="/tags/1090/" title="绍兴" class="c1" target="_blank">绍兴</a> <a href="/tags/1185/" title="浙江" class="c1" target="_blank">浙江</a>    <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1007/" title="浙江省" class="c1" target="_blank">浙江省</a> <a href="/tags/1090/" title="绍兴" class="c1" target="_blank">绍兴</a> <a href="/tags/1185/" title="浙江" class="c1" target="_blank">浙江</a>

Shape27

A <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1007/" title="浙江省" class="c1" target="_blank">浙江省</a> <a href="/tags/1090/" title="绍兴" class="c1" target="_blank">绍兴</a> <a href="/tags/1185/" title="浙江" class="c1" target="_blank">浙江</a> B <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1007/" title="浙江省" class="c1" target="_blank">浙江省</a> <a href="/tags/1090/" title="绍兴" class="c1" target="_blank">绍兴</a> <a href="/tags/1185/" title="浙江" class="c1" target="_blank">浙江</a> C <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1007/" title="浙江省" class="c1" target="_blank">浙江省</a> <a href="/tags/1090/" title="绍兴" class="c1" target="_blank">绍兴</a> <a href="/tags/1185/" title="浙江" class="c1" target="_blank">浙江</a> D <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1007/" title="浙江省" class="c1" target="_blank">浙江省</a> <a href="/tags/1090/" title="绍兴" class="c1" target="_blank">绍兴</a> <a href="/tags/1185/" title="浙江" class="c1" target="_blank">浙江</a>

【分析】根据对应边的比等于相似比列式进行计算即可得解.

【解答】解:设投影三角尺的对应边长为 <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1007/" title="浙江省" class="c1" target="_blank">浙江省</a> <a href="/tags/1090/" title="绍兴" class="c1" target="_blank">绍兴</a> <a href="/tags/1185/" title="浙江" class="c1" target="_blank">浙江</a>

 <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1007/" title="浙江省" class="c1" target="_blank">浙江省</a> <a href="/tags/1090/" title="绍兴" class="c1" target="_blank">绍兴</a> <a href="/tags/1185/" title="浙江" class="c1" target="_blank">浙江</a> 三角尺与投影三角尺相似,

 <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1007/" title="浙江省" class="c1" target="_blank">浙江省</a> <a href="/tags/1090/" title="绍兴" class="c1" target="_blank">绍兴</a> <a href="/tags/1185/" title="浙江" class="c1" target="_blank">浙江</a>

解得 <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1007/" title="浙江省" class="c1" target="_blank">浙江省</a> <a href="/tags/1090/" title="绍兴" class="c1" target="_blank">绍兴</a> <a href="/tags/1185/" title="浙江" class="c1" target="_blank">浙江</a>

故选: <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1007/" title="浙江省" class="c1" target="_blank">浙江省</a> <a href="/tags/1090/" title="绍兴" class="c1" target="_blank">绍兴</a> <a href="/tags/1185/" title="浙江" class="c1" target="_blank">浙江</a>

【点评】本题主要考查相似三角形的应用.利用数学知识解决实际问题是中学数学的重要内容.解决此问题的关键在于正确理解题意的基础上建立数学模型,把实际问题转化为数学问题.

6.(4分)如图,小球从 <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1007/" title="浙江省" class="c1" target="_blank">浙江省</a> <a href="/tags/1090/" title="绍兴" class="c1" target="_blank">绍兴</a> <a href="/tags/1185/" title="浙江" class="c1" target="_blank">浙江</a> 入口往下落,在每个交叉口都有向左或向右两种可能,且可能性相等.则小球从 <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1007/" title="浙江省" class="c1" target="_blank">浙江省</a> <a href="/tags/1090/" title="绍兴" class="c1" target="_blank">绍兴</a> <a href="/tags/1185/" title="浙江" class="c1" target="_blank">浙江</a> 出口落出的概率是 <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1007/" title="浙江省" class="c1" target="_blank">浙江省</a> <a href="/tags/1090/" title="绍兴" class="c1" target="_blank">绍兴</a> <a href="/tags/1185/" title="浙江" class="c1" target="_blank">浙江</a>    <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1007/" title="浙江省" class="c1" target="_blank">浙江省</a> <a href="/tags/1090/" title="绍兴" class="c1" target="_blank">绍兴</a> <a href="/tags/1185/" title="浙江" class="c1" target="_blank">浙江</a>

Shape28

A <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1007/" title="浙江省" class="c1" target="_blank">浙江省</a> <a href="/tags/1090/" title="绍兴" class="c1" target="_blank">绍兴</a> <a href="/tags/1185/" title="浙江" class="c1" target="_blank">浙江</a> B <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1007/" title="浙江省" class="c1" target="_blank">浙江省</a> <a href="/tags/1090/" title="绍兴" class="c1" target="_blank">绍兴</a> <a href="/tags/1185/" title="浙江" class="c1" target="_blank">浙江</a> C <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1007/" title="浙江省" class="c1" target="_blank">浙江省</a> <a href="/tags/1090/" title="绍兴" class="c1" target="_blank">绍兴</a> <a href="/tags/1185/" title="浙江" class="c1" target="_blank">浙江</a> D <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1007/" title="浙江省" class="c1" target="_blank">浙江省</a> <a href="/tags/1090/" title="绍兴" class="c1" target="_blank">绍兴</a> <a href="/tags/1185/" title="浙江" class="c1" target="_blank">浙江</a>

【分析】根据“在每个交叉口都有向左或向右两种可能,且可能性相等”可知在点 <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1007/" title="浙江省" class="c1" target="_blank">浙江省</a> <a href="/tags/1090/" title="绍兴" class="c1" target="_blank">绍兴</a> <a href="/tags/1185/" title="浙江" class="c1" target="_blank">浙江</a>  <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1007/" title="浙江省" class="c1" target="_blank">浙江省</a> <a href="/tags/1090/" title="绍兴" class="c1" target="_blank">绍兴</a> <a href="/tags/1185/" title="浙江" class="c1" target="_blank">浙江</a>  <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1007/" title="浙江省" class="c1" target="_blank">浙江省</a> <a href="/tags/1090/" title="绍兴" class="c1" target="_blank">绍兴</a> <a href="/tags/1185/" title="浙江" class="c1" target="_blank">浙江</a> 处都是等可能情况,从而得到在四个出口 <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1007/" title="浙江省" class="c1" target="_blank">浙江省</a> <a href="/tags/1090/" title="绍兴" class="c1" target="_blank">绍兴</a> <a href="/tags/1185/" title="浙江" class="c1" target="_blank">浙江</a>  <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1007/" title="浙江省" class="c1" target="_blank">浙江省</a> <a href="/tags/1090/" title="绍兴" class="c1" target="_blank">绍兴</a> <a href="/tags/1185/" title="浙江" class="c1" target="_blank">浙江</a>  <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1007/" title="浙江省" class="c1" target="_blank">浙江省</a> <a href="/tags/1090/" title="绍兴" class="c1" target="_blank">绍兴</a> <a href="/tags/1185/" title="浙江" class="c1" target="_blank">浙江</a>  <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1007/" title="浙江省" class="c1" target="_blank">浙江省</a> <a href="/tags/1090/" title="绍兴" class="c1" target="_blank">绍兴</a> <a href="/tags/1185/" title="浙江" class="c1" target="_blank">浙江</a> 也都是等可能情况,然后概率的意义列式即可得解.

【解答】解:由图可知,在每个交叉口都有向左或向右两种可能,且可能性相等,

小球最终落出的点共有 <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1007/" title="浙江省" class="c1" target="_blank">浙江省</a> <a href="/tags/1090/" title="绍兴" class="c1" target="_blank">绍兴</a> <a href="/tags/1185/" title="浙江" class="c1" target="_blank">浙江</a>  <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1007/" title="浙江省" class="c1" target="_blank">浙江省</a> <a href="/tags/1090/" title="绍兴" class="c1" target="_blank">绍兴</a> <a href="/tags/1185/" title="浙江" class="c1" target="_blank">浙江</a>  <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1007/" title="浙江省" class="c1" target="_blank">浙江省</a> <a href="/tags/1090/" title="绍兴" class="c1" target="_blank">绍兴</a> <a href="/tags/1185/" title="浙江" class="c1" target="_blank">浙江</a>  <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1007/" title="浙江省" class="c1" target="_blank">浙江省</a> <a href="/tags/1090/" title="绍兴" class="c1" target="_blank">绍兴</a> <a href="/tags/1185/" title="浙江" class="c1" target="_blank">浙江</a> 四个,

所以小球从 <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1007/" title="浙江省" class="c1" target="_blank">浙江省</a> <a href="/tags/1090/" title="绍兴" class="c1" target="_blank">绍兴</a> <a href="/tags/1185/" title="浙江" class="c1" target="_blank">浙江</a> 出口落出的概率是: <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1007/" title="浙江省" class="c1" target="_blank">浙江省</a> <a href="/tags/1090/" title="绍兴" class="c1" target="_blank">绍兴</a> <a href="/tags/1185/" title="浙江" class="c1" target="_blank">浙江</a>

故选: <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1007/" title="浙江省" class="c1" target="_blank">浙江省</a> <a href="/tags/1090/" title="绍兴" class="c1" target="_blank">绍兴</a> <a href="/tags/1185/" title="浙江" class="c1" target="_blank">浙江</a>

【点评】本题考查了概率的求法,读懂题目信息,得出所给的图形的对称性以及可能性相等是解题的关键,用到的知识点为:概率 <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1007/" title="浙江省" class="c1" target="_blank">浙江省</a> <a href="/tags/1090/" title="绍兴" class="c1" target="_blank">绍兴</a> <a href="/tags/1185/" title="浙江" class="c1" target="_blank">浙江</a> 所求情况数与总情况数之比.

7.(4分)长度分别为2334的四根细木棒首尾相连,围成一个三角形(木棒允许连接,但不允许折断),得到的三角形的最长边长为 <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1007/" title="浙江省" class="c1" target="_blank">浙江省</a> <a href="/tags/1090/" title="绍兴" class="c1" target="_blank">绍兴</a> <a href="/tags/1185/" title="浙江" class="c1" target="_blank">浙江</a>    <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1007/" title="浙江省" class="c1" target="_blank">浙江省</a> <a href="/tags/1090/" title="绍兴" class="c1" target="_blank">绍兴</a> <a href="/tags/1185/" title="浙江" class="c1" target="_blank">浙江</a>

A4 B5 C6 D7

【分析】利用三角形的三边关系列举出所围成三角形的不同情况,通过比较得到结论.

【解答】解:长度分别为534,能构成三角形,且最长边为5

长度分别为264,不能构成三角形;

长度分别为273,不能构成三角形;

综上所述,得到三角形的最长边长为5

故选: <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1007/" title="浙江省" class="c1" target="_blank">浙江省</a> <a href="/tags/1090/" title="绍兴" class="c1" target="_blank">绍兴</a> <a href="/tags/1185/" title="浙江" class="c1" target="_blank">浙江</a>

【点评】本题考查了三角形的三边关系,利用了三角形中三边的关系求解.注意分类讨论,不重不漏.

8.(4分)如图,点 <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1007/" title="浙江省" class="c1" target="_blank">浙江省</a> <a href="/tags/1090/" title="绍兴" class="c1" target="_blank">绍兴</a> <a href="/tags/1185/" title="浙江" class="c1" target="_blank">浙江</a> 为矩形 <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1007/" title="浙江省" class="c1" target="_blank">浙江省</a> <a href="/tags/1090/" title="绍兴" class="c1" target="_blank">绍兴</a> <a href="/tags/1185/" title="浙江" class="c1" target="_blank">浙江</a> 的对称中心,点 <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1007/" title="浙江省" class="c1" target="_blank">浙江省</a> <a href="/tags/1090/" title="绍兴" class="c1" target="_blank">绍兴</a> <a href="/tags/1185/" title="浙江" class="c1" target="_blank">浙江</a> 从点 <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1007/" title="浙江省" class="c1" target="_blank">浙江省</a> <a href="/tags/1090/" title="绍兴" class="c1" target="_blank">绍兴</a> <a href="/tags/1185/" title="浙江" class="c1" target="_blank">浙江</a> 出发沿 <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1007/" title="浙江省" class="c1" target="_blank">浙江省</a> <a href="/tags/1090/" title="绍兴" class="c1" target="_blank">绍兴</a> <a href="/tags/1185/" title="浙江" class="c1" target="_blank">浙江</a> 向点 <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1007/" title="浙江省" class="c1" target="_blank">浙江省</a> <a href="/tags/1090/" title="绍兴" class="c1" target="_blank">绍兴</a> <a href="/tags/1185/" title="浙江" class="c1" target="_blank">浙江</a> 运动,移动到点 <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1007/" title="浙江省" class="c1" target="_blank">浙江省</a> <a href="/tags/1090/" title="绍兴" class="c1" target="_blank">绍兴</a> <a href="/tags/1185/" title="浙江" class="c1" target="_blank">浙江</a> 停止,延长 <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1007/" title="浙江省" class="c1" target="_blank">浙江省</a> <a href="/tags/1090/" title="绍兴" class="c1" target="_blank">绍兴</a> <a href="/tags/1185/" title="浙江" class="c1" target="_blank">浙江</a>  <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1007/" title="浙江省" class="c1" target="_blank">浙江省</a> <a href="/tags/1090/" title="绍兴" class="c1" target="_blank">绍兴</a> <a href="/tags/1185/" title="浙江" class="c1" target="_blank">浙江</a> 于点 <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1007/" title="浙江省" class="c1" target="_blank">浙江省</a> <a href="/tags/1090/" title="绍兴" class="c1" target="_blank">绍兴</a> <a href="/tags/1185/" title="浙江" class="c1" target="_blank">浙江</a> ,则四边形 <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1007/" title="浙江省" class="c1" target="_blank">浙江省</a> <a href="/tags/1090/" title="绍兴" class="c1" target="_blank">绍兴</a> <a href="/tags/1185/" title="浙江" class="c1" target="_blank">浙江</a> 形状的变化依次为 <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1007/" title="浙江省" class="c1" target="_blank">浙江省</a> <a href="/tags/1090/" title="绍兴" class="c1" target="_blank">绍兴</a> <a href="/tags/1185/" title="浙江" class="c1" target="_blank">浙江</a>    <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1007/" title="浙江省" class="c1" target="_blank">浙江省</a> <a href="/tags/1090/" title="绍兴" class="c1" target="_blank">绍兴</a> <a href="/tags/1185/" title="浙江" class="c1" target="_blank">浙江</a>

Shape29

A.平行四边形 <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1007/" title="浙江省" class="c1" target="_blank">浙江省</a> <a href="/tags/1090/" title="绍兴" class="c1" target="_blank">绍兴</a> <a href="/tags/1185/" title="浙江" class="c1" target="_blank">浙江</a> 正方形 <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1007/" title="浙江省" class="c1" target="_blank">浙江省</a> <a href="/tags/1090/" title="绍兴" class="c1" target="_blank">绍兴</a> <a href="/tags/1185/" title="浙江" class="c1" target="_blank">浙江</a> 平行四边形 <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1007/" title="浙江省" class="c1" target="_blank">浙江省</a> <a href="/tags/1090/" title="绍兴" class="c1" target="_blank">绍兴</a> <a href="/tags/1185/" title="浙江" class="c1" target="_blank">浙江</a> 矩形

B.平行四边形 <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1007/" title="浙江省" class="c1" target="_blank">浙江省</a> <a href="/tags/1090/" title="绍兴" class="c1" target="_blank">绍兴</a> <a href="/tags/1185/" title="浙江" class="c1" target="_blank">浙江</a> 菱形 <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1007/" title="浙江省" class="c1" target="_blank">浙江省</a> <a href="/tags/1090/" title="绍兴" class="c1" target="_blank">绍兴</a> <a href="/tags/1185/" title="浙江" class="c1" target="_blank">浙江</a> 平行四边形 <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1007/" title="浙江省" class="c1" target="_blank">浙江省</a> <a href="/tags/1090/" title="绍兴" class="c1" target="_blank">绍兴</a> <a href="/tags/1185/" title="浙江" class="c1" target="_blank">浙江</a> 矩形

C.平行四边形 <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1007/" title="浙江省" class="c1" target="_blank">浙江省</a> <a href="/tags/1090/" title="绍兴" class="c1" target="_blank">绍兴</a> <a href="/tags/1185/" title="浙江" class="c1" target="_blank">浙江</a> 正方形 <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1007/" title="浙江省" class="c1" target="_blank">浙江省</a> <a href="/tags/1090/" title="绍兴" class="c1" target="_blank">绍兴</a> <a href="/tags/1185/" title="浙江" class="c1" target="_blank">浙江</a> 菱形 <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1007/" title="浙江省" class="c1" target="_blank">浙江省</a> <a href="/tags/1090/" title="绍兴" class="c1" target="_blank">绍兴</a> <a href="/tags/1185/" title="浙江" class="c1" target="_blank">浙江</a> 矩形

D.平行四边形 <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1007/" title="浙江省" class="c1" target="_blank">浙江省</a> <a href="/tags/1090/" title="绍兴" class="c1" target="_blank">绍兴</a> <a href="/tags/1185/" title="浙江" class="c1" target="_blank">浙江</a> 菱形 <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1007/" title="浙江省" class="c1" target="_blank">浙江省</a> <a href="/tags/1090/" title="绍兴" class="c1" target="_blank">绍兴</a> <a href="/tags/1185/" title="浙江" class="c1" target="_blank">浙江</a> 正方形 <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1007/" title="浙江省" class="c1" target="_blank">浙江省</a> <a href="/tags/1090/" title="绍兴" class="c1" target="_blank">绍兴</a> <a href="/tags/1185/" title="浙江" class="c1" target="_blank">浙江</a> 矩形

【分析】根据对称中心的定义,根据矩形的性质,可得四边形 <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1007/" title="浙江省" class="c1" target="_blank">浙江省</a> <a href="/tags/1090/" title="绍兴" class="c1" target="_blank">绍兴</a> <a href="/tags/1185/" title="浙江" class="c1" target="_blank">浙江</a> 形状的变化情况.

【解答】解:观察图形可知,四边形 <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1007/" title="浙江省" class="c1" target="_blank">浙江省</a> <a href="/tags/1090/" title="绍兴" class="c1" target="_blank">绍兴</a> <a href="/tags/1185/" title="浙江" class="c1" target="_blank">浙江</a> 形状的变化依次为平行四边形 <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1007/" title="浙江省" class="c1" target="_blank">浙江省</a> <a href="/tags/1090/" title="绍兴" class="c1" target="_blank">绍兴</a> <a href="/tags/1185/" title="浙江" class="c1" target="_blank">浙江</a> 菱形 <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1007/" title="浙江省" class="c1" target="_blank">浙江省</a> <a href="/tags/1090/" title="绍兴" class="c1" target="_blank">绍兴</a> <a href="/tags/1185/" title="浙江" class="c1" target="_blank">浙江</a> 平行四边形 <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1007/" title="浙江省" class="c1" target="_blank">浙江省</a> <a href="/tags/1090/" title="绍兴" class="c1" target="_blank">绍兴</a> <a href="/tags/1185/" title="浙江" class="c1" target="_blank">浙江</a> 矩形.

故选: <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1007/" title="浙江省" class="c1" target="_blank">浙江省</a> <a href="/tags/1090/" title="绍兴" class="c1" target="_blank">绍兴</a> <a href="/tags/1185/" title="浙江" class="c1" target="_blank">浙江</a>

【点评】考查了中心对称,矩形的性质,平行四边形的判定与性质,菱形的性质,根据 <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1007/" title="浙江省" class="c1" target="_blank">浙江省</a> <a href="/tags/1090/" title="绍兴" class="c1" target="_blank">绍兴</a> <a href="/tags/1185/" title="浙江" class="c1" target="_blank">浙江</a>  <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1007/" title="浙江省" class="c1" target="_blank">浙江省</a> <a href="/tags/1090/" title="绍兴" class="c1" target="_blank">绍兴</a> <a href="/tags/1185/" title="浙江" class="c1" target="_blank">浙江</a> 的位置关系即可求解.

9.(4分)如图,等腰直角三角形 <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1007/" title="浙江省" class="c1" target="_blank">浙江省</a> <a href="/tags/1090/" title="绍兴" class="c1" target="_blank">绍兴</a> <a href="/tags/1185/" title="浙江" class="c1" target="_blank">浙江</a> 中, <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1007/" title="浙江省" class="c1" target="_blank">浙江省</a> <a href="/tags/1090/" title="绍兴" class="c1" target="_blank">绍兴</a> <a href="/tags/1185/" title="浙江" class="c1" target="_blank">浙江</a>  <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1007/" title="浙江省" class="c1" target="_blank">浙江省</a> <a href="/tags/1090/" title="绍兴" class="c1" target="_blank">绍兴</a> <a href="/tags/1185/" title="浙江" class="c1" target="_blank">浙江</a> ,将 <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1007/" title="浙江省" class="c1" target="_blank">浙江省</a> <a href="/tags/1090/" title="绍兴" class="c1" target="_blank">绍兴</a> <a href="/tags/1185/" title="浙江" class="c1" target="_blank">浙江</a> 绕点 <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1007/" title="浙江省" class="c1" target="_blank">浙江省</a> <a href="/tags/1090/" title="绍兴" class="c1" target="_blank">绍兴</a> <a href="/tags/1185/" title="浙江" class="c1" target="_blank">浙江</a> 顺时针旋转 <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1007/" title="浙江省" class="c1" target="_blank">浙江省</a> <a href="/tags/1090/" title="绍兴" class="c1" target="_blank">绍兴</a> <a href="/tags/1185/" title="浙江" class="c1" target="_blank">浙江</a> ,得到 <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1007/" title="浙江省" class="c1" target="_blank">浙江省</a> <a href="/tags/1090/" title="绍兴" class="c1" target="_blank">绍兴</a> <a href="/tags/1185/" title="浙江" class="c1" target="_blank">浙江</a> ,连结 <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1007/" title="浙江省" class="c1" target="_blank">浙江省</a> <a href="/tags/1090/" title="绍兴" class="c1" target="_blank">绍兴</a> <a href="/tags/1185/" title="浙江" class="c1" target="_blank">浙江</a> ,过点 <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1007/" title="浙江省" class="c1" target="_blank">浙江省</a> <a href="/tags/1090/" title="绍兴" class="c1" target="_blank">绍兴</a> <a href="/tags/1185/" title="浙江" class="c1" target="_blank">浙江</a>  <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1007/" title="浙江省" class="c1" target="_blank">浙江省</a> <a href="/tags/1090/" title="绍兴" class="c1" target="_blank">绍兴</a> <a href="/tags/1185/" title="浙江" class="c1" target="_blank">浙江</a>  <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1007/" title="浙江省" class="c1" target="_blank">浙江省</a> <a href="/tags/1090/" title="绍兴" class="c1" target="_blank">绍兴</a> <a href="/tags/1185/" title="浙江" class="c1" target="_blank">浙江</a> 的延长线于点 <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1007/" title="浙江省" class="c1" target="_blank">浙江省</a> <a href="/tags/1090/" title="绍兴" class="c1" target="_blank">绍兴</a> <a href="/tags/1185/" title="浙江" class="c1" target="_blank">浙江</a> ,连结 <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1007/" title="浙江省" class="c1" target="_blank">浙江省</a> <a href="/tags/1090/" title="绍兴" class="c1" target="_blank">绍兴</a> <a href="/tags/1185/" title="浙江" class="c1" target="_blank">浙江</a> ,则 <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1007/" title="浙江省" class="c1" target="_blank">浙江省</a> <a href="/tags/1090/" title="绍兴" class="c1" target="_blank">绍兴</a> <a href="/tags/1185/" title="浙江" class="c1" target="_blank">浙江</a> 的度数 <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1007/" title="浙江省" class="c1" target="_blank">浙江省</a> <a href="/tags/1090/" title="绍兴" class="c1" target="_blank">绍兴</a> <a href="/tags/1185/" title="浙江" class="c1" target="_blank">浙江</a>    <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1007/" title="浙江省" class="c1" target="_blank">浙江省</a> <a href="/tags/1090/" title="绍兴" class="c1" target="_blank">绍兴</a> <a href="/tags/1185/" title="浙江" class="c1" target="_blank">浙江</a>

Shape30

A.随着 <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1007/" title="浙江省" class="c1" target="_blank">浙江省</a> <a href="/tags/1090/" title="绍兴" class="c1" target="_blank">绍兴</a> <a href="/tags/1185/" title="浙江" class="c1" target="_blank">浙江</a> 的增大而增大 B.随着 <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1007/" title="浙江省" class="c1" target="_blank">浙江省</a> <a href="/tags/1090/" title="绍兴" class="c1" target="_blank">绍兴</a> <a href="/tags/1185/" title="浙江" class="c1" target="_blank">浙江</a> 的增大而减小

C.不变 D.随着 <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1007/" title="浙江省" class="c1" target="_blank">浙江省</a> <a href="/tags/1090/" title="绍兴" class="c1" target="_blank">绍兴</a> <a href="/tags/1185/" title="浙江" class="c1" target="_blank">浙江</a> 的增大,先增大后减小

【分析】由旋转的性质可得 <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1007/" title="浙江省" class="c1" target="_blank">浙江省</a> <a href="/tags/1090/" title="绍兴" class="c1" target="_blank">绍兴</a> <a href="/tags/1185/" title="浙江" class="c1" target="_blank">浙江</a> ,由等腰三角形的性质和三角形内接和定理可求 <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1007/" title="浙江省" class="c1" target="_blank">浙江省</a> <a href="/tags/1090/" title="绍兴" class="c1" target="_blank">绍兴</a> <a href="/tags/1185/" title="浙江" class="c1" target="_blank">浙江</a> ,由外角的性质可求 <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1007/" title="浙江省" class="c1" target="_blank">浙江省</a> <a href="/tags/1090/" title="绍兴" class="c1" target="_blank">绍兴</a> <a href="/tags/1185/" title="浙江" class="c1" target="_blank">浙江</a> ,即可求解.

【解答】解: <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1007/" title="浙江省" class="c1" target="_blank">浙江省</a> <a href="/tags/1090/" title="绍兴" class="c1" target="_blank">绍兴</a> <a href="/tags/1185/" title="浙江" class="c1" target="_blank">浙江</a>  <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1007/" title="浙江省" class="c1" target="_blank">浙江省</a> <a href="/tags/1090/" title="绍兴" class="c1" target="_blank">绍兴</a> <a href="/tags/1185/" title="浙江" class="c1" target="_blank">浙江</a> 绕点 <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1007/" title="浙江省" class="c1" target="_blank">浙江省</a> <a href="/tags/1090/" title="绍兴" class="c1" target="_blank">绍兴</a> <a href="/tags/1185/" title="浙江" class="c1" target="_blank">浙江</a> 顺时针旋转 <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1007/" title="浙江省" class="c1" target="_blank">浙江省</a> <a href="/tags/1090/" title="绍兴" class="c1" target="_blank">绍兴</a> <a href="/tags/1185/" title="浙江" class="c1" target="_blank">浙江</a> ,得到 <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1007/" title="浙江省" class="c1" target="_blank">浙江省</a> <a href="/tags/1090/" title="绍兴" class="c1" target="_blank">绍兴</a> <a href="/tags/1185/" title="浙江" class="c1" target="_blank">浙江</a>

 <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1007/" title="浙江省" class="c1" target="_blank">浙江省</a> <a href="/tags/1090/" title="绍兴" class="c1" target="_blank">绍兴</a> <a href="/tags/1185/" title="浙江" class="c1" target="_blank">浙江</a>

 <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1007/" title="浙江省" class="c1" target="_blank">浙江省</a> <a href="/tags/1090/" title="绍兴" class="c1" target="_blank">绍兴</a> <a href="/tags/1185/" title="浙江" class="c1" target="_blank">浙江</a>  <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1007/" title="浙江省" class="c1" target="_blank">浙江省</a> <a href="/tags/1090/" title="绍兴" class="c1" target="_blank">绍兴</a> <a href="/tags/1185/" title="浙江" class="c1" target="_blank">浙江</a>

 <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1007/" title="浙江省" class="c1" target="_blank">浙江省</a> <a href="/tags/1090/" title="绍兴" class="c1" target="_blank">绍兴</a> <a href="/tags/1185/" title="浙江" class="c1" target="_blank">浙江</a>  <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1007/" title="浙江省" class="c1" target="_blank">浙江省</a> <a href="/tags/1090/" title="绍兴" class="c1" target="_blank">绍兴</a> <a href="/tags/1185/" title="浙江" class="c1" target="_blank">浙江</a>  <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1007/" title="浙江省" class="c1" target="_blank">浙江省</a> <a href="/tags/1090/" title="绍兴" class="c1" target="_blank">绍兴</a> <a href="/tags/1185/" title="浙江" class="c1" target="_blank">浙江</a>

 <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1007/" title="浙江省" class="c1" target="_blank">浙江省</a> <a href="/tags/1090/" title="绍兴" class="c1" target="_blank">绍兴</a> <a href="/tags/1185/" title="浙江" class="c1" target="_blank">浙江</a>

 <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1007/" title="浙江省" class="c1" target="_blank">浙江省</a> <a href="/tags/1090/" title="绍兴" class="c1" target="_blank">绍兴</a> <a href="/tags/1185/" title="浙江" class="c1" target="_blank">浙江</a>

 <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1007/" title="浙江省" class="c1" target="_blank">浙江省</a> <a href="/tags/1090/" title="绍兴" class="c1" target="_blank">绍兴</a> <a href="/tags/1185/" title="浙江" class="c1" target="_blank">浙江</a>

 <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1007/" title="浙江省" class="c1" target="_blank">浙江省</a> <a href="/tags/1090/" title="绍兴" class="c1" target="_blank">绍兴</a> <a href="/tags/1185/" title="浙江" class="c1" target="_blank">浙江</a> 的度数是定值,

故选: <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1007/" title="浙江省" class="c1" target="_blank">浙江省</a> <a href="/tags/1090/" title="绍兴" class="c1" target="_blank">绍兴</a> <a href="/tags/1185/" title="浙江" class="c1" target="_blank">浙江</a>

【点评】本题考查了旋转的性质,等腰三角形的性质,三角形的外角性质,灵活运用这些性质解决问题是本题的关键.

10.(4分)同型号的甲、乙两辆车加满气体燃料后均可行驶 <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1007/" title="浙江省" class="c1" target="_blank">浙江省</a> <a href="/tags/1090/" title="绍兴" class="c1" target="_blank">绍兴</a> <a href="/tags/1185/" title="浙江" class="c1" target="_blank">浙江</a> ,它们各自单独行驶并返回的最远距离是 <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1007/" title="浙江省" class="c1" target="_blank">浙江省</a> <a href="/tags/1090/" title="绍兴" class="c1" target="_blank">绍兴</a> <a href="/tags/1185/" title="浙江" class="c1" target="_blank">浙江</a> .现在它们都从 <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1007/" title="浙江省" class="c1" target="_blank">浙江省</a> <a href="/tags/1090/" title="绍兴" class="c1" target="_blank">绍兴</a> <a href="/tags/1185/" title="浙江" class="c1" target="_blank">浙江</a> 地出发,行驶途中停下来从甲车的气体燃料桶抽一些气体燃料注入乙车的气体燃料桶,然后甲车再行驶返回 <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1007/" title="浙江省" class="c1" target="_blank">浙江省</a> <a href="/tags/1090/" title="绍兴" class="c1" target="_blank">绍兴</a> <a href="/tags/1185/" title="浙江" class="c1" target="_blank">浙江</a> 地,而乙车继续行驶,到 <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1007/" title="浙江省" class="c1" target="_blank">浙江省</a> <a href="/tags/1090/" title="绍兴" class="c1" target="_blank">绍兴</a> <a href="/tags/1185/" title="浙江" class="c1" target="_blank">浙江</a> 地后再行驶返回 <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1007/" title="浙江省" class="c1" target="_blank">浙江省</a> <a href="/tags/1090/" title="绍兴" class="c1" target="_blank">绍兴</a> <a href="/tags/1185/" title="浙江" class="c1" target="_blank">浙江</a> 地.则 <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1007/" title="浙江省" class="c1" target="_blank">浙江省</a> <a href="/tags/1090/" title="绍兴" class="c1" target="_blank">绍兴</a> <a href="/tags/1185/" title="浙江" class="c1" target="_blank">浙江</a> 地最远可距离 <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1007/" title="浙江省" class="c1" target="_blank">浙江省</a> <a href="/tags/1090/" title="绍兴" class="c1" target="_blank">绍兴</a> <a href="/tags/1185/" title="浙江" class="c1" target="_blank">浙江</a>  <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1007/" title="浙江省" class="c1" target="_blank">浙江省</a> <a href="/tags/1090/" title="绍兴" class="c1" target="_blank">绍兴</a> <a href="/tags/1185/" title="浙江" class="c1" target="_blank">浙江</a>    <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1007/" title="浙江省" class="c1" target="_blank">浙江省</a> <a href="/tags/1090/" title="绍兴" class="c1" target="_blank">绍兴</a> <a href="/tags/1185/" title="浙江" class="c1" target="_blank">浙江</a>

A <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1007/" title="浙江省" class="c1" target="_blank">浙江省</a> <a href="/tags/1090/" title="绍兴" class="c1" target="_blank">绍兴</a> <a href="/tags/1185/" title="浙江" class="c1" target="_blank">浙江</a> B <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1007/" title="浙江省" class="c1" target="_blank">浙江省</a> <a href="/tags/1090/" title="绍兴" class="c1" target="_blank">绍兴</a> <a href="/tags/1185/" title="浙江" class="c1" target="_blank">浙江</a> C <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1007/" title="浙江省" class="c1" target="_blank">浙江省</a> <a href="/tags/1090/" title="绍兴" class="c1" target="_blank">绍兴</a> <a href="/tags/1185/" title="浙江" class="c1" target="_blank">浙江</a> D <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1007/" title="浙江省" class="c1" target="_blank">浙江省</a> <a href="/tags/1090/" title="绍兴" class="c1" target="_blank">绍兴</a> <a href="/tags/1185/" title="浙江" class="c1" target="_blank">浙江</a>

【分析】设甲行驶到 <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1007/" title="浙江省" class="c1" target="_blank">浙江省</a> <a href="/tags/1090/" title="绍兴" class="c1" target="_blank">绍兴</a> <a href="/tags/1185/" title="浙江" class="c1" target="_blank">浙江</a> 地时返回,到达 <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1007/" title="浙江省" class="c1" target="_blank">浙江省</a> <a href="/tags/1090/" title="绍兴" class="c1" target="_blank">绍兴</a> <a href="/tags/1185/" title="浙江" class="c1" target="_blank">浙江</a> 地燃料用完,乙行驶到 <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1007/" title="浙江省" class="c1" target="_blank">浙江省</a> <a href="/tags/1090/" title="绍兴" class="c1" target="_blank">绍兴</a> <a href="/tags/1185/" title="浙江" class="c1" target="_blank">浙江</a> 地再返回 <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1007/" title="浙江省" class="c1" target="_blank">浙江省</a> <a href="/tags/1090/" title="绍兴" class="c1" target="_blank">绍兴</a> <a href="/tags/1185/" title="浙江" class="c1" target="_blank">浙江</a> 地时燃料用完,根据题意得关于 <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1007/" title="浙江省" class="c1" target="_blank">浙江省</a> <a href="/tags/1090/" title="绍兴" class="c1" target="_blank">绍兴</a> <a href="/tags/1185/" title="浙江" class="c1" target="_blank">浙江</a>  <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1007/" title="浙江省" class="c1" target="_blank">浙江省</a> <a href="/tags/1090/" title="绍兴" class="c1" target="_blank">绍兴</a> <a href="/tags/1185/" title="浙江" class="c1" target="_blank">浙江</a> 的二元一次方程组,求解即可.

【解答】解:设甲行驶到 <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1007/" title="浙江省" class="c1" target="_blank">浙江省</a> <a href="/tags/1090/" title="绍兴" class="c1" target="_blank">绍兴</a> <a href="/tags/1185/" title="浙江" class="c1" target="_blank">浙江</a> 地时返回,到达 <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1007/" title="浙江省" class="c1" target="_blank">浙江省</a> <a href="/tags/1090/" title="绍兴" class="c1" target="_blank">绍兴</a> <a href="/tags/1185/" title="浙江" class="c1" target="_blank">浙江</a> 地燃料用完,乙行驶到 <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1007/" title="浙江省" class="c1" target="_blank">浙江省</a> <a href="/tags/1090/" title="绍兴" class="c1" target="_blank">绍兴</a> <a href="/tags/1185/" title="浙江" class="c1" target="_blank">浙江</a> 地再返回 <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1007/" title="浙江省" class="c1" target="_blank">浙江省</a> <a href="/tags/1090/" title="绍兴" class="c1" target="_blank">绍兴</a> <a href="/tags/1185/" title="浙江" class="c1" target="_blank">浙江</a> 地时燃料用完,如图:

Shape31

 <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1007/" title="浙江省" class="c1" target="_blank">浙江省</a> <a href="/tags/1090/" title="绍兴" class="c1" target="_blank">绍兴</a> <a href="/tags/1185/" title="浙江" class="c1" target="_blank">浙江</a>  <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1007/" title="浙江省" class="c1" target="_blank">浙江省</a> <a href="/tags/1090/" title="绍兴" class="c1" target="_blank">绍兴</a> <a href="/tags/1185/" title="浙江" class="c1" target="_blank">浙江</a> ,根据题意得:

 <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1007/" title="浙江省" class="c1" target="_blank">浙江省</a> <a href="/tags/1090/" title="绍兴" class="c1" target="_blank">绍兴</a> <a href="/tags/1185/" title="浙江" class="c1" target="_blank">浙江</a>

解得: <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1007/" title="浙江省" class="c1" target="_blank">浙江省</a> <a href="/tags/1090/" title="绍兴" class="c1" target="_blank">绍兴</a> <a href="/tags/1185/" title="浙江" class="c1" target="_blank">浙江</a>

 <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1007/" title="浙江省" class="c1" target="_blank">浙江省</a> <a href="/tags/1090/" title="绍兴" class="c1" target="_blank">绍兴</a> <a href="/tags/1185/" title="浙江" class="c1" target="_blank">浙江</a> 乙在 <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1007/" title="浙江省" class="c1" target="_blank">浙江省</a> <a href="/tags/1090/" title="绍兴" class="c1" target="_blank">绍兴</a> <a href="/tags/1185/" title="浙江" class="c1" target="_blank">浙江</a> 地时加注行驶 <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1007/" title="浙江省" class="c1" target="_blank">浙江省</a> <a href="/tags/1090/" title="绍兴" class="c1" target="_blank">绍兴</a> <a href="/tags/1185/" title="浙江" class="c1" target="_blank">浙江</a> 的燃料,则 <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1007/" title="浙江省" class="c1" target="_blank">浙江省</a> <a href="/tags/1090/" title="绍兴" class="c1" target="_blank">绍兴</a> <a href="/tags/1185/" title="浙江" class="c1" target="_blank">浙江</a> 的最大长度是 <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1007/" title="浙江省" class="c1" target="_blank">浙江省</a> <a href="/tags/1090/" title="绍兴" class="c1" target="_blank">绍兴</a> <a href="/tags/1185/" title="浙江" class="c1" target="_blank">浙江</a>

故选: <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1007/" title="浙江省" class="c1" target="_blank">浙江省</a> <a href="/tags/1090/" title="绍兴" class="c1" target="_blank">绍兴</a> <a href="/tags/1185/" title="浙江" class="c1" target="_blank">浙江</a>

【点评】本题考查了二元一次方程组在行程问题中的应用,理清题中的数量关系正确列出方程组是解题的关键.

二、填空题(本大题有6小题,每小题5分,共30分)

11.(5分)分解因式: <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1007/" title="浙江省" class="c1" target="_blank">浙江省</a> <a href="/tags/1090/" title="绍兴" class="c1" target="_blank">绍兴</a> <a href="/tags/1185/" title="浙江" class="c1" target="_blank">浙江</a>   <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1007/" title="浙江省" class="c1" target="_blank">浙江省</a> <a href="/tags/1090/" title="绍兴" class="c1" target="_blank">绍兴</a> <a href="/tags/1185/" title="浙江" class="c1" target="_blank">浙江</a>  

【分析】分解因式 <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1007/" title="浙江省" class="c1" target="_blank">浙江省</a> <a href="/tags/1090/" title="绍兴" class="c1" target="_blank">绍兴</a> <a href="/tags/1185/" title="浙江" class="c1" target="_blank">浙江</a> 中,可知是2项式,没有公因式,用平方差公式分解即可.

【解答】解: <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1007/" title="浙江省" class="c1" target="_blank">浙江省</a> <a href="/tags/1090/" title="绍兴" class="c1" target="_blank">绍兴</a> <a href="/tags/1185/" title="浙江" class="c1" target="_blank">浙江</a>

故答案为: <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1007/" title="浙江省" class="c1" target="_blank">浙江省</a> <a href="/tags/1090/" title="绍兴" class="c1" target="_blank">绍兴</a> <a href="/tags/1185/" title="浙江" class="c1" target="_blank">浙江</a>

【点评】本题考查了因式分解 <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1007/" title="浙江省" class="c1" target="_blank">浙江省</a> <a href="/tags/1090/" title="绍兴" class="c1" target="_blank">绍兴</a> <a href="/tags/1185/" title="浙江" class="c1" target="_blank">浙江</a> 运用公式法,熟练掌握平方差公式的结构特点是解题的关键.

12.(5分)若关于 <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1007/" title="浙江省" class="c1" target="_blank">浙江省</a> <a href="/tags/1090/" title="绍兴" class="c1" target="_blank">绍兴</a> <a href="/tags/1185/" title="浙江" class="c1" target="_blank">浙江</a>  <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1007/" title="浙江省" class="c1" target="_blank">浙江省</a> <a href="/tags/1090/" title="绍兴" class="c1" target="_blank">绍兴</a> <a href="/tags/1185/" title="浙江" class="c1" target="_blank">浙江</a> 的二元一次方程组 <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1007/" title="浙江省" class="c1" target="_blank">浙江省</a> <a href="/tags/1090/" title="绍兴" class="c1" target="_blank">绍兴</a> <a href="/tags/1185/" title="浙江" class="c1" target="_blank">浙江</a> 的解为 <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1007/" title="浙江省" class="c1" target="_blank">浙江省</a> <a href="/tags/1090/" title="绍兴" class="c1" target="_blank">绍兴</a> <a href="/tags/1185/" title="浙江" class="c1" target="_blank">浙江</a> 则多项式 <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1007/" title="浙江省" class="c1" target="_blank">浙江省</a> <a href="/tags/1090/" title="绍兴" class="c1" target="_blank">绍兴</a> <a href="/tags/1185/" title="浙江" class="c1" target="_blank">浙江</a> 可以是 答案不唯一,如 <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1007/" title="浙江省" class="c1" target="_blank">浙江省</a> <a href="/tags/1090/" title="绍兴" class="c1" target="_blank">绍兴</a> <a href="/tags/1185/" title="浙江" class="c1" target="_blank">浙江</a>  (写出一个即可).

【分析】根据方程组的解的定义,为 <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1007/" title="浙江省" class="c1" target="_blank">浙江省</a> <a href="/tags/1090/" title="绍兴" class="c1" target="_blank">绍兴</a> <a href="/tags/1185/" title="浙江" class="c1" target="_blank">浙江</a> 应该满足所写方程组的每一个方程.因此,可以围绕为 <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1007/" title="浙江省" class="c1" target="_blank">浙江省</a> <a href="/tags/1090/" title="绍兴" class="c1" target="_blank">绍兴</a> <a href="/tags/1185/" title="浙江" class="c1" target="_blank">浙江</a> 列一组算式,然后用 <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1007/" title="浙江省" class="c1" target="_blank">浙江省</a> <a href="/tags/1090/" title="绍兴" class="c1" target="_blank">绍兴</a> <a href="/tags/1185/" title="浙江" class="c1" target="_blank">浙江</a>  <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1007/" title="浙江省" class="c1" target="_blank">浙江省</a> <a href="/tags/1090/" title="绍兴" class="c1" target="_blank">绍兴</a> <a href="/tags/1185/" title="浙江" class="c1" target="_blank">浙江</a> 代换即可.

【解答】解: <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1007/" title="浙江省" class="c1" target="_blank">浙江省</a> <a href="/tags/1090/" title="绍兴" class="c1" target="_blank">绍兴</a> <a href="/tags/1185/" title="浙江" class="c1" target="_blank">浙江</a> 关于 <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1007/" title="浙江省" class="c1" target="_blank">浙江省</a> <a href="/tags/1090/" title="绍兴" class="c1" target="_blank">绍兴</a> <a href="/tags/1185/" title="浙江" class="c1" target="_blank">浙江</a>  <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1007/" title="浙江省" class="c1" target="_blank">浙江省</a> <a href="/tags/1090/" title="绍兴" class="c1" target="_blank">绍兴</a> <a href="/tags/1185/" title="浙江" class="c1" target="_blank">浙江</a> 的二元一次方程组 <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1007/" title="浙江省" class="c1" target="_blank">浙江省</a> <a href="/tags/1090/" title="绍兴" class="c1" target="_blank">绍兴</a> <a href="/tags/1185/" title="浙江" class="c1" target="_blank">浙江</a> 的解为 <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1007/" title="浙江省" class="c1" target="_blank">浙江省</a> <a href="/tags/1090/" title="绍兴" class="c1" target="_blank">绍兴</a> <a href="/tags/1185/" title="浙江" class="c1" target="_blank">浙江</a>

 <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1007/" title="浙江省" class="c1" target="_blank">浙江省</a> <a href="/tags/1090/" title="绍兴" class="c1" target="_blank">绍兴</a> <a href="/tags/1185/" title="浙江" class="c1" target="_blank">浙江</a>

 <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1007/" title="浙江省" class="c1" target="_blank">浙江省</a> <a href="/tags/1090/" title="绍兴" class="c1" target="_blank">绍兴</a> <a href="/tags/1185/" title="浙江" class="c1" target="_blank">浙江</a> 多项式 <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1007/" title="浙江省" class="c1" target="_blank">浙江省</a> <a href="/tags/1090/" title="绍兴" class="c1" target="_blank">绍兴</a> <a href="/tags/1185/" title="浙江" class="c1" target="_blank">浙江</a> 可以是答案不唯一,如 <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1007/" title="浙江省" class="c1" target="_blank">浙江省</a> <a href="/tags/1090/" title="绍兴" class="c1" target="_blank">绍兴</a> <a href="/tags/1185/" title="浙江" class="c1" target="_blank">浙江</a>

故答案为:答案不唯一,如 <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1007/" title="浙江省" class="c1" target="_blank">浙江省</a> <a href="/tags/1090/" title="绍兴" class="c1" target="_blank">绍兴</a> <a href="/tags/1185/" title="浙江" class="c1" target="_blank">浙江</a>

【点评】考查了二元一次方程组的解,本题是开放题,注意方程组的解的定义.

13.(5分)如图1,直角三角形纸片的一条直角边长为2,剪四块这样的直角三角形纸片,把它们按图2放入一个边长为3的正方形中(纸片在结合部分不重叠无缝隙),则图2中阴影部分面积为  <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1007/" title="浙江省" class="c1" target="_blank">浙江省</a> <a href="/tags/1090/" title="绍兴" class="c1" target="_blank">绍兴</a> <a href="/tags/1185/" title="浙江" class="c1" target="_blank">浙江</a>  

Shape32

【分析】根据题意和图形,可以得到直角三角形的一条直角边的长和斜边的长,从而可以得到直角三角形的另一条直角边长,再根据图形,可知阴影部分的面积是四个直角三角形的面积,然后代入数据计算即可.

【解答】解:由题意可得,

直角三角形的斜边长为3,一条直角边长为2

故直角三角形的另一条直角边长为: <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1007/" title="浙江省" class="c1" target="_blank">浙江省</a> <a href="/tags/1090/" title="绍兴" class="c1" target="_blank">绍兴</a> <a href="/tags/1185/" title="浙江" class="c1" target="_blank">浙江</a>

故阴影部分的面积是: <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1007/" title="浙江省" class="c1" target="_blank">浙江省</a> <a href="/tags/1090/" title="绍兴" class="c1" target="_blank">绍兴</a> <a href="/tags/1185/" title="浙江" class="c1" target="_blank">浙江</a>

故答案为: <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1007/" title="浙江省" class="c1" target="_blank">浙江省</a> <a href="/tags/1090/" title="绍兴" class="c1" target="_blank">绍兴</a> <a href="/tags/1185/" title="浙江" class="c1" target="_blank">浙江</a>

【点评】本题考查正方形的性质、勾股定理、三角形的面积,解答本题的关键是明确题意,利用数形结合的思想解答.

14.(5分)如图,已知边长为2的等边三角形 <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1007/" title="浙江省" class="c1" target="_blank">浙江省</a> <a href="/tags/1090/" title="绍兴" class="c1" target="_blank">绍兴</a> <a href="/tags/1185/" title="浙江" class="c1" target="_blank">浙江</a> 中,分别以点 <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1007/" title="浙江省" class="c1" target="_blank">浙江省</a> <a href="/tags/1090/" title="绍兴" class="c1" target="_blank">绍兴</a> <a href="/tags/1185/" title="浙江" class="c1" target="_blank">浙江</a>  <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1007/" title="浙江省" class="c1" target="_blank">浙江省</a> <a href="/tags/1090/" title="绍兴" class="c1" target="_blank">绍兴</a> <a href="/tags/1185/" title="浙江" class="c1" target="_blank">浙江</a> 为圆心, <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1007/" title="浙江省" class="c1" target="_blank">浙江省</a> <a href="/tags/1090/" title="绍兴" class="c1" target="_blank">绍兴</a> <a href="/tags/1185/" title="浙江" class="c1" target="_blank">浙江</a> 为半径作弧,两弧交于点 <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1007/" title="浙江省" class="c1" target="_blank">浙江省</a> <a href="/tags/1090/" title="绍兴" class="c1" target="_blank">绍兴</a> <a href="/tags/1185/" title="浙江" class="c1" target="_blank">浙江</a> ,连结 <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1007/" title="浙江省" class="c1" target="_blank">浙江省</a> <a href="/tags/1090/" title="绍兴" class="c1" target="_blank">绍兴</a> <a href="/tags/1185/" title="浙江" class="c1" target="_blank">浙江</a> .若 <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1007/" title="浙江省" class="c1" target="_blank">浙江省</a> <a href="/tags/1090/" title="绍兴" class="c1" target="_blank">绍兴</a> <a href="/tags/1185/" title="浙江" class="c1" target="_blank">浙江</a> 的长为 <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1007/" title="浙江省" class="c1" target="_blank">浙江省</a> <a href="/tags/1090/" title="绍兴" class="c1" target="_blank">绍兴</a> <a href="/tags/1185/" title="浙江" class="c1" target="_blank">浙江</a> ,则 <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1007/" title="浙江省" class="c1" target="_blank">浙江省</a> <a href="/tags/1090/" title="绍兴" class="c1" target="_blank">绍兴</a> <a href="/tags/1185/" title="浙江" class="c1" target="_blank">浙江</a> 的值为 2 <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1007/" title="浙江省" class="c1" target="_blank">浙江省</a> <a href="/tags/1090/" title="绍兴" class="c1" target="_blank">绍兴</a> <a href="/tags/1185/" title="浙江" class="c1" target="_blank">浙江</a>  

Shape33

【分析】由作图知,点 <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1007/" title="浙江省" class="c1" target="_blank">浙江省</a> <a href="/tags/1090/" title="绍兴" class="c1" target="_blank">绍兴</a> <a href="/tags/1185/" title="浙江" class="c1" target="_blank">浙江</a>  <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1007/" title="浙江省" class="c1" target="_blank">浙江省</a> <a href="/tags/1090/" title="绍兴" class="c1" target="_blank">绍兴</a> <a href="/tags/1185/" title="浙江" class="c1" target="_blank">浙江</a> 的垂直平分线上,得到点 <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1007/" title="浙江省" class="c1" target="_blank">浙江省</a> <a href="/tags/1090/" title="绍兴" class="c1" target="_blank">绍兴</a> <a href="/tags/1185/" title="浙江" class="c1" target="_blank">浙江</a>  <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1007/" title="浙江省" class="c1" target="_blank">浙江省</a> <a href="/tags/1090/" title="绍兴" class="c1" target="_blank">绍兴</a> <a href="/tags/1185/" title="浙江" class="c1" target="_blank">浙江</a> 的垂直平分线上,求得 <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1007/" title="浙江省" class="c1" target="_blank">浙江省</a> <a href="/tags/1090/" title="绍兴" class="c1" target="_blank">绍兴</a> <a href="/tags/1185/" title="浙江" class="c1" target="_blank">浙江</a> 垂直平分 <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1007/" title="浙江省" class="c1" target="_blank">浙江省</a> <a href="/tags/1090/" title="绍兴" class="c1" target="_blank">绍兴</a> <a href="/tags/1185/" title="浙江" class="c1" target="_blank">浙江</a> ,设垂足为 <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1007/" title="浙江省" class="c1" target="_blank">浙江省</a> <a href="/tags/1090/" title="绍兴" class="c1" target="_blank">绍兴</a> <a href="/tags/1185/" title="浙江" class="c1" target="_blank">浙江</a> ,得到 <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1007/" title="浙江省" class="c1" target="_blank">浙江省</a> <a href="/tags/1090/" title="绍兴" class="c1" target="_blank">绍兴</a> <a href="/tags/1185/" title="浙江" class="c1" target="_blank">浙江</a> ,当点 <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1007/" title="浙江省" class="c1" target="_blank">浙江省</a> <a href="/tags/1090/" title="绍兴" class="c1" target="_blank">绍兴</a> <a href="/tags/1185/" title="浙江" class="c1" target="_blank">浙江</a>  <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1007/" title="浙江省" class="c1" target="_blank">浙江省</a> <a href="/tags/1090/" title="绍兴" class="c1" target="_blank">绍兴</a> <a href="/tags/1185/" title="浙江" class="c1" target="_blank">浙江</a>  <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1007/" title="浙江省" class="c1" target="_blank">浙江省</a> <a href="/tags/1090/" title="绍兴" class="c1" target="_blank">绍兴</a> <a href="/tags/1185/" title="浙江" class="c1" target="_blank">浙江</a> 的两侧时,如图,当点 <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1007/" title="浙江省" class="c1" target="_blank">浙江省</a> <a href="/tags/1090/" title="绍兴" class="c1" target="_blank">绍兴</a> <a href="/tags/1185/" title="浙江" class="c1" target="_blank">浙江</a>  <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1007/" title="浙江省" class="c1" target="_blank">浙江省</a> <a href="/tags/1090/" title="绍兴" class="c1" target="_blank">绍兴</a> <a href="/tags/1185/" title="浙江" class="c1" target="_blank">浙江</a>  <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1007/" title="浙江省" class="c1" target="_blank">浙江省</a> <a href="/tags/1090/" title="绍兴" class="c1" target="_blank">绍兴</a> <a href="/tags/1185/" title="浙江" class="c1" target="_blank">浙江</a> 的同侧时,如图,解直角三角形即可得到结论.

【解答】解:由作图知,点 <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1007/" title="浙江省" class="c1" target="_blank">浙江省</a> <a href="/tags/1090/" title="绍兴" class="c1" target="_blank">绍兴</a> <a href="/tags/1185/" title="浙江" class="c1" target="_blank">浙江</a>  <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1007/" title="浙江省" class="c1" target="_blank">浙江省</a> <a href="/tags/1090/" title="绍兴" class="c1" target="_blank">绍兴</a> <a href="/tags/1185/" title="浙江" class="c1" target="_blank">浙江</a> 的垂直平分线上,

 <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1007/" title="浙江省" class="c1" target="_blank">浙江省</a> <a href="/tags/1090/" title="绍兴" class="c1" target="_blank">绍兴</a> <a href="/tags/1185/" title="浙江" class="c1" target="_blank">浙江</a> 是等边三角形,

 <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1007/" title="浙江省" class="c1" target="_blank">浙江省</a> <a href="/tags/1090/" title="绍兴" class="c1" target="_blank">绍兴</a> <a href="/tags/1185/" title="浙江" class="c1" target="_blank">浙江</a>  <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1007/" title="浙江省" class="c1" target="_blank">浙江省</a> <a href="/tags/1090/" title="绍兴" class="c1" target="_blank">绍兴</a> <a href="/tags/1185/" title="浙江" class="c1" target="_blank">浙江</a>  <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1007/" title="浙江省" class="c1" target="_blank">浙江省</a> <a href="/tags/1090/" title="绍兴" class="c1" target="_blank">绍兴</a> <a href="/tags/1185/" title="浙江" class="c1" target="_blank">浙江</a> 的垂直平分线上,

 <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1007/" title="浙江省" class="c1" target="_blank">浙江省</a> <a href="/tags/1090/" title="绍兴" class="c1" target="_blank">绍兴</a> <a href="/tags/1185/" title="浙江" class="c1" target="_blank">浙江</a> 垂直平分 <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1007/" title="浙江省" class="c1" target="_blank">浙江省</a> <a href="/tags/1090/" title="绍兴" class="c1" target="_blank">绍兴</a> <a href="/tags/1185/" title="浙江" class="c1" target="_blank">浙江</a>

设垂足为 <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1007/" title="浙江省" class="c1" target="_blank">浙江省</a> <a href="/tags/1090/" title="绍兴" class="c1" target="_blank">绍兴</a> <a href="/tags/1185/" title="浙江" class="c1" target="_blank">浙江</a>

 <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1007/" title="浙江省" class="c1" target="_blank">浙江省</a> <a href="/tags/1090/" title="绍兴" class="c1" target="_blank">绍兴</a> <a href="/tags/1185/" title="浙江" class="c1" target="_blank">浙江</a>

 <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1007/" title="浙江省" class="c1" target="_blank">浙江省</a> <a href="/tags/1090/" title="绍兴" class="c1" target="_blank">绍兴</a> <a href="/tags/1185/" title="浙江" class="c1" target="_blank">浙江</a>

当点 <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1007/" title="浙江省" class="c1" target="_blank">浙江省</a> <a href="/tags/1090/" title="绍兴" class="c1" target="_blank">绍兴</a> <a href="/tags/1185/" title="浙江" class="c1" target="_blank">浙江</a>  <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1007/" title="浙江省" class="c1" target="_blank">浙江省</a> <a href="/tags/1090/" title="绍兴" class="c1" target="_blank">绍兴</a> <a href="/tags/1185/" title="浙江" class="c1" target="_blank">浙江</a>  <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1007/" title="浙江省" class="c1" target="_blank">浙江省</a> <a href="/tags/1090/" title="绍兴" class="c1" target="_blank">绍兴</a> <a href="/tags/1185/" title="浙江" class="c1" target="_blank">浙江</a> 的两侧时,如图,

 <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1007/" title="浙江省" class="c1" target="_blank">浙江省</a> <a href="/tags/1090/" title="绍兴" class="c1" target="_blank">绍兴</a> <a href="/tags/1185/" title="浙江" class="c1" target="_blank">浙江</a>

 <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1007/" title="浙江省" class="c1" target="_blank">浙江省</a> <a href="/tags/1090/" title="绍兴" class="c1" target="_blank">绍兴</a> <a href="/tags/1185/" title="浙江" class="c1" target="_blank">浙江</a>

 <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1007/" title="浙江省" class="c1" target="_blank">浙江省</a> <a href="/tags/1090/" title="绍兴" class="c1" target="_blank">绍兴</a> <a href="/tags/1185/" title="浙江" class="c1" target="_blank">浙江</a>

 <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1007/" title="浙江省" class="c1" target="_blank">浙江省</a> <a href="/tags/1090/" title="绍兴" class="c1" target="_blank">绍兴</a> <a href="/tags/1185/" title="浙江" class="c1" target="_blank">浙江</a>

当点 <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1007/" title="浙江省" class="c1" target="_blank">浙江省</a> <a href="/tags/1090/" title="绍兴" class="c1" target="_blank">绍兴</a> <a href="/tags/1185/" title="浙江" class="c1" target="_blank">浙江</a>  <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1007/" title="浙江省" class="c1" target="_blank">浙江省</a> <a href="/tags/1090/" title="绍兴" class="c1" target="_blank">绍兴</a> <a href="/tags/1185/" title="浙江" class="c1" target="_blank">浙江</a>  <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1007/" title="浙江省" class="c1" target="_blank">浙江省</a> <a href="/tags/1090/" title="绍兴" class="c1" target="_blank">绍兴</a> <a href="/tags/1185/" title="浙江" class="c1" target="_blank">浙江</a> 的同侧时,如图,

 <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1007/" title="浙江省" class="c1" target="_blank">浙江省</a> <a href="/tags/1090/" title="绍兴" class="c1" target="_blank">绍兴</a> <a href="/tags/1185/" title="浙江" class="c1" target="_blank">浙江</a>

 <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1007/" title="浙江省" class="c1" target="_blank">浙江省</a> <a href="/tags/1090/" title="绍兴" class="c1" target="_blank">绍兴</a> <a href="/tags/1185/" title="浙江" class="c1" target="_blank">浙江</a>

 <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1007/" title="浙江省" class="c1" target="_blank">浙江省</a> <a href="/tags/1090/" title="绍兴" class="c1" target="_blank">绍兴</a> <a href="/tags/1185/" title="浙江" class="c1" target="_blank">浙江</a>

 <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1007/" title="浙江省" class="c1" target="_blank">浙江省</a> <a href="/tags/1090/" title="绍兴" class="c1" target="_blank">绍兴</a> <a href="/tags/1185/" title="浙江" class="c1" target="_blank">浙江</a>

综上所述, <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1007/" title="浙江省" class="c1" target="_blank">浙江省</a> <a href="/tags/1090/" title="绍兴" class="c1" target="_blank">绍兴</a> <a href="/tags/1185/" title="浙江" class="c1" target="_blank">浙江</a> 的值为2 <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1007/" title="浙江省" class="c1" target="_blank">浙江省</a> <a href="/tags/1090/" title="绍兴" class="c1" target="_blank">绍兴</a> <a href="/tags/1185/" title="浙江" class="c1" target="_blank">浙江</a>

故答案为:2 <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1007/" title="浙江省" class="c1" target="_blank">浙江省</a> <a href="/tags/1090/" title="绍兴" class="c1" target="_blank">绍兴</a> <a href="/tags/1185/" title="浙江" class="c1" target="_blank">浙江</a>

Shape34

【点评】本题考查了勾股定理,等边三角形的性质,线段垂直平分线的性质.正确的作出图形是解题的关键.

15.(5分)有两种消费券: <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1007/" title="浙江省" class="c1" target="_blank">浙江省</a> <a href="/tags/1090/" title="绍兴" class="c1" target="_blank">绍兴</a> <a href="/tags/1185/" title="浙江" class="c1" target="_blank">浙江</a> 券,满60元减20元, <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1007/" title="浙江省" class="c1" target="_blank">浙江省</a> <a href="/tags/1090/" title="绍兴" class="c1" target="_blank">绍兴</a> <a href="/tags/1185/" title="浙江" class="c1" target="_blank">浙江</a> 券,满90元减30元,即一次购物大于等于60元、90元,付款时分别减20元、30元.小敏有一张 <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1007/" title="浙江省" class="c1" target="_blank">浙江省</a> <a href="/tags/1090/" title="绍兴" class="c1" target="_blank">绍兴</a> <a href="/tags/1185/" title="浙江" class="c1" target="_blank">浙江</a> 券,小聪有一张 <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1007/" title="浙江省" class="c1" target="_blank">浙江省</a> <a href="/tags/1090/" title="绍兴" class="c1" target="_blank">绍兴</a> <a href="/tags/1185/" title="浙江" class="c1" target="_blank">浙江</a> 券,他们都购了一件标价相同的商品,各自付款,若能用券时用券,这样两人共付款150元,则所购商品的标价是 10085 元.

【分析】可设所购商品的标价是 <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1007/" title="浙江省" class="c1" target="_blank">浙江省</a> <a href="/tags/1090/" title="绍兴" class="c1" target="_blank">绍兴</a> <a href="/tags/1185/" title="浙江" class="c1" target="_blank">浙江</a> 元,根据小敏有一张 <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1007/" title="浙江省" class="c1" target="_blank">浙江省</a> <a href="/tags/1090/" title="绍兴" class="c1" target="_blank">绍兴</a> <a href="/tags/1185/" title="浙江" class="c1" target="_blank">浙江</a> 券,小聪有一张 <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1007/" title="浙江省" class="c1" target="_blank">浙江省</a> <a href="/tags/1090/" title="绍兴" class="c1" target="_blank">绍兴</a> <a href="/tags/1185/" title="浙江" class="c1" target="_blank">浙江</a> 券,他们都购了一件标价相同的商品,各自付款,若能用券时用券,这样两人共付款150元,分所购商品的标价小于90元;所购商品的标价大于90元;列出方程即可求解.

【解答】解:设所购商品的标价是 <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1007/" title="浙江省" class="c1" target="_blank">浙江省</a> <a href="/tags/1090/" title="绍兴" class="c1" target="_blank">绍兴</a> <a href="/tags/1185/" title="浙江" class="c1" target="_blank">浙江</a> 元,则

所购商品的标价小于90元,

 <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1007/" title="浙江省" class="c1" target="_blank">浙江省</a> <a href="/tags/1090/" title="绍兴" class="c1" target="_blank">绍兴</a> <a href="/tags/1185/" title="浙江" class="c1" target="_blank">浙江</a>

解得 <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1007/" title="浙江省" class="c1" target="_blank">浙江省</a> <a href="/tags/1090/" title="绍兴" class="c1" target="_blank">绍兴</a> <a href="/tags/1185/" title="浙江" class="c1" target="_blank">浙江</a>

所购商品的标价大于90元,

 <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1007/" title="浙江省" class="c1" target="_blank">浙江省</a> <a href="/tags/1090/" title="绍兴" class="c1" target="_blank">绍兴</a> <a href="/tags/1185/" title="浙江" class="c1" target="_blank">浙江</a>

解得 <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1007/" title="浙江省" class="c1" target="_blank">浙江省</a> <a href="/tags/1090/" title="绍兴" class="c1" target="_blank">绍兴</a> <a href="/tags/1185/" title="浙江" class="c1" target="_blank">浙江</a>

故所购商品的标价是10085元.

故答案为:10085

【点评】考查了一元一次方程的应用,属于商品销售问题,注意分两种情况进行讨论求解.

16.(5分)将两条邻边长分别为 <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1007/" title="浙江省" class="c1" target="_blank">浙江省</a> <a href="/tags/1090/" title="绍兴" class="c1" target="_blank">绍兴</a> <a href="/tags/1185/" title="浙江" class="c1" target="_blank">浙江</a> 1的矩形纸片剪成四个等腰三角形纸片(无余纸片),各种剪法剪出的等腰三角形中,其中一个等腰三角形的腰长可以是下列数中的 ①②③④ (填序号).

 <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1007/" title="浙江省" class="c1" target="_blank">浙江省</a> <a href="/tags/1090/" title="绍兴" class="c1" target="_blank">绍兴</a> <a href="/tags/1185/" title="浙江" class="c1" target="_blank">浙江</a> 1 <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1007/" title="浙江省" class="c1" target="_blank">浙江省</a> <a href="/tags/1090/" title="绍兴" class="c1" target="_blank">绍兴</a> <a href="/tags/1185/" title="浙江" class="c1" target="_blank">浙江</a>  <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1007/" title="浙江省" class="c1" target="_blank">浙江省</a> <a href="/tags/1090/" title="绍兴" class="c1" target="_blank">绍兴</a> <a href="/tags/1185/" title="浙江" class="c1" target="_blank">浙江</a>  <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1007/" title="浙江省" class="c1" target="_blank">浙江省</a> <a href="/tags/1090/" title="绍兴" class="c1" target="_blank">绍兴</a> <a href="/tags/1185/" title="浙江" class="c1" target="_blank">浙江</a>

【分析】首先作出图形,再根据矩形的性质和等腰三角形的判定即可求解.

【解答】解:如图所示:

Shape35

则其中一个等腰三角形的腰长可以是 <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1007/" title="浙江省" class="c1" target="_blank">浙江省</a> <a href="/tags/1090/" title="绍兴" class="c1" target="_blank">绍兴</a> <a href="/tags/1185/" title="浙江" class="c1" target="_blank">浙江</a> 1 <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1007/" title="浙江省" class="c1" target="_blank">浙江省</a> <a href="/tags/1090/" title="绍兴" class="c1" target="_blank">绍兴</a> <a href="/tags/1185/" title="浙江" class="c1" target="_blank">浙江</a>  <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1007/" title="浙江省" class="c1" target="_blank">浙江省</a> <a href="/tags/1090/" title="绍兴" class="c1" target="_blank">绍兴</a> <a href="/tags/1185/" title="浙江" class="c1" target="_blank">浙江</a> ,不可以是 <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1007/" title="浙江省" class="c1" target="_blank">浙江省</a> <a href="/tags/1090/" title="绍兴" class="c1" target="_blank">绍兴</a> <a href="/tags/1185/" title="浙江" class="c1" target="_blank">浙江</a>

故答案为:①②③④

【点评】考查了矩形的性质,等腰三角形的判定与性质,根据题意作出图形是解题的关键.

三、解答题(本大题有8小题,第1720小题每小题8分,第21小题10分,第2223小题每小题8分,第24小题14分,共80分.解答需写出必要的文字说明、演算步骤或证明过程)

17.(8分)(1)计算: <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1007/" title="浙江省" class="c1" target="_blank">浙江省</a> <a href="/tags/1090/" title="绍兴" class="c1" target="_blank">绍兴</a> <a href="/tags/1185/" title="浙江" class="c1" target="_blank">浙江</a>

2)化简: <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1007/" title="浙江省" class="c1" target="_blank">浙江省</a> <a href="/tags/1090/" title="绍兴" class="c1" target="_blank">绍兴</a> <a href="/tags/1185/" title="浙江" class="c1" target="_blank">浙江</a>

【分析】1)直接利用特殊角的三角函数值以及二次根式的性质分别化简得出答案;

2)直接利用完全平方公式以及单项式乘以多项式运算法则计算得出答案.

【解答】解:(1)原式 <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1007/" title="浙江省" class="c1" target="_blank">浙江省</a> <a href="/tags/1090/" title="绍兴" class="c1" target="_blank">绍兴</a> <a href="/tags/1185/" title="浙江" class="c1" target="_blank">浙江</a>

 <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1007/" title="浙江省" class="c1" target="_blank">浙江省</a> <a href="/tags/1090/" title="绍兴" class="c1" target="_blank">绍兴</a> <a href="/tags/1185/" title="浙江" class="c1" target="_blank">浙江</a>

 <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1007/" title="浙江省" class="c1" target="_blank">浙江省</a> <a href="/tags/1090/" title="绍兴" class="c1" target="_blank">绍兴</a> <a href="/tags/1185/" title="浙江" class="c1" target="_blank">浙江</a>


2 <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1007/" title="浙江省" class="c1" target="_blank">浙江省</a> <a href="/tags/1090/" title="绍兴" class="c1" target="_blank">绍兴</a> <a href="/tags/1185/" title="浙江" class="c1" target="_blank">浙江</a>

 <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1007/" title="浙江省" class="c1" target="_blank">浙江省</a> <a href="/tags/1090/" title="绍兴" class="c1" target="_blank">绍兴</a> <a href="/tags/1185/" title="浙江" class="c1" target="_blank">浙江</a>

 <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1007/" title="浙江省" class="c1" target="_blank">浙江省</a> <a href="/tags/1090/" title="绍兴" class="c1" target="_blank">绍兴</a> <a href="/tags/1185/" title="浙江" class="c1" target="_blank">浙江</a>

【点评】此题主要考查了实数运算以及完全平方公式以及单项式乘以多项式运算,正确掌握相关运算法则是解题关键.

18.(8分)如图,点 <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1007/" title="浙江省" class="c1" target="_blank">浙江省</a> <a href="/tags/1090/" title="绍兴" class="c1" target="_blank">绍兴</a> <a href="/tags/1185/" title="浙江" class="c1" target="_blank">浙江</a>  <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1007/" title="浙江省" class="c1" target="_blank">浙江省</a> <a href="/tags/1090/" title="绍兴" class="c1" target="_blank">绍兴</a> <a href="/tags/1185/" title="浙江" class="c1" target="_blank">浙江</a> 的边 <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1007/" title="浙江省" class="c1" target="_blank">浙江省</a> <a href="/tags/1090/" title="绍兴" class="c1" target="_blank">绍兴</a> <a href="/tags/1185/" title="浙江" class="c1" target="_blank">浙江</a> 的中点,连结 <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1007/" title="浙江省" class="c1" target="_blank">浙江省</a> <a href="/tags/1090/" title="绍兴" class="c1" target="_blank">绍兴</a> <a href="/tags/1185/" title="浙江" class="c1" target="_blank">浙江</a> 并延长,交 <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1007/" title="浙江省" class="c1" target="_blank">浙江省</a> <a href="/tags/1090/" title="绍兴" class="c1" target="_blank">绍兴</a> <a href="/tags/1185/" title="浙江" class="c1" target="_blank">浙江</a> 的延长线于点 <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1007/" title="浙江省" class="c1" target="_blank">浙江省</a> <a href="/tags/1090/" title="绍兴" class="c1" target="_blank">绍兴</a> <a href="/tags/1185/" title="浙江" class="c1" target="_blank">浙江</a>

1)若 <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1007/" title="浙江省" class="c1" target="_blank">浙江省</a> <a href="/tags/1090/" title="绍兴" class="c1" target="_blank">绍兴</a> <a href="/tags/1185/" title="浙江" class="c1" target="_blank">浙江</a> 的长为2,求 <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1007/" title="浙江省" class="c1" target="_blank">浙江省</a> <a href="/tags/1090/" title="绍兴" class="c1" target="_blank">绍兴</a> <a href="/tags/1185/" title="浙江" class="c1" target="_blank">浙江</a> 的长.

2)若 <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1007/" title="浙江省" class="c1" target="_blank">浙江省</a> <a href="/tags/1090/" title="绍兴" class="c1" target="_blank">绍兴</a> <a href="/tags/1185/" title="浙江" class="c1" target="_blank">浙江</a> ,试添加一个条件,并写出 <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1007/" title="浙江省" class="c1" target="_blank">浙江省</a> <a href="/tags/1090/" title="绍兴" class="c1" target="_blank">绍兴</a> <a href="/tags/1185/" title="浙江" class="c1" target="_blank">浙江</a> 的度数.

Shape36

【分析】1)由平行四边形的性质得出 <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1007/" title="浙江省" class="c1" target="_blank">浙江省</a> <a href="/tags/1090/" title="绍兴" class="c1" target="_blank">绍兴</a> <a href="/tags/1185/" title="浙江" class="c1" target="_blank">浙江</a> ,则 <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1007/" title="浙江省" class="c1" target="_blank">浙江省</a> <a href="/tags/1090/" title="绍兴" class="c1" target="_blank">绍兴</a> <a href="/tags/1185/" title="浙江" class="c1" target="_blank">浙江</a>  <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1007/" title="浙江省" class="c1" target="_blank">浙江省</a> <a href="/tags/1090/" title="绍兴" class="c1" target="_blank">绍兴</a> <a href="/tags/1185/" title="浙江" class="c1" target="_blank">浙江</a> ,由点 <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1007/" title="浙江省" class="c1" target="_blank">浙江省</a> <a href="/tags/1090/" title="绍兴" class="c1" target="_blank">绍兴</a> <a href="/tags/1185/" title="浙江" class="c1" target="_blank">浙江</a>  <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1007/" title="浙江省" class="c1" target="_blank">浙江省</a> <a href="/tags/1090/" title="绍兴" class="c1" target="_blank">绍兴</a> <a href="/tags/1185/" title="浙江" class="c1" target="_blank">浙江</a> 的中点,得出 <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1007/" title="浙江省" class="c1" target="_blank">浙江省</a> <a href="/tags/1090/" title="绍兴" class="c1" target="_blank">绍兴</a> <a href="/tags/1185/" title="浙江" class="c1" target="_blank">浙江</a> ,由 <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1007/" title="浙江省" class="c1" target="_blank">浙江省</a> <a href="/tags/1090/" title="绍兴" class="c1" target="_blank">绍兴</a> <a href="/tags/1185/" title="浙江" class="c1" target="_blank">浙江</a> 证得 <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1007/" title="浙江省" class="c1" target="_blank">浙江省</a> <a href="/tags/1090/" title="绍兴" class="c1" target="_blank">绍兴</a> <a href="/tags/1185/" title="浙江" class="c1" target="_blank">浙江</a> ,即可得出结果;

2)添加一个条件当 <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1007/" title="浙江省" class="c1" target="_blank">浙江省</a> <a href="/tags/1090/" title="绍兴" class="c1" target="_blank">绍兴</a> <a href="/tags/1185/" title="浙江" class="c1" target="_blank">浙江</a> 时,由直角三角形的性质即可得出结果(答案不唯一).

【解答】解:(1 <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1007/" title="浙江省" class="c1" target="_blank">浙江省</a> <a href="/tags/1090/" title="绍兴" class="c1" target="_blank">绍兴</a> <a href="/tags/1185/" title="浙江" class="c1" target="_blank">浙江</a> 四边形 <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1007/" title="浙江省" class="c1" target="_blank">浙江省</a> <a href="/tags/1090/" title="绍兴" class="c1" target="_blank">绍兴</a> <a href="/tags/1185/" title="浙江" class="c1" target="_blank">浙江</a> 是平行四边形,

 <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1007/" title="浙江省" class="c1" target="_blank">浙江省</a> <a href="/tags/1090/" title="绍兴" class="c1" target="_blank">绍兴</a> <a href="/tags/1185/" title="浙江" class="c1" target="_blank">浙江</a>

 <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1007/" title="浙江省" class="c1" target="_blank">浙江省</a> <a href="/tags/1090/" title="绍兴" class="c1" target="_blank">绍兴</a> <a href="/tags/1185/" title="浙江" class="c1" target="_blank">浙江</a>  <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1007/" title="浙江省" class="c1" target="_blank">浙江省</a> <a href="/tags/1090/" title="绍兴" class="c1" target="_blank">绍兴</a> <a href="/tags/1185/" title="浙江" class="c1" target="_blank">浙江</a>

 <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1007/" title="浙江省" class="c1" target="_blank">浙江省</a> <a href="/tags/1090/" title="绍兴" class="c1" target="_blank">绍兴</a> <a href="/tags/1185/" title="浙江" class="c1" target="_blank">浙江</a>  <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1007/" title="浙江省" class="c1" target="_blank">浙江省</a> <a href="/tags/1090/" title="绍兴" class="c1" target="_blank">绍兴</a> <a href="/tags/1185/" title="浙江" class="c1" target="_blank">浙江</a>  <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1007/" title="浙江省" class="c1" target="_blank">浙江省</a> <a href="/tags/1090/" title="绍兴" class="c1" target="_blank">绍兴</a> <a href="/tags/1185/" title="浙江" class="c1" target="_blank">浙江</a> 的中点,

 <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1007/" title="浙江省" class="c1" target="_blank">浙江省</a> <a href="/tags/1090/" title="绍兴" class="c1" target="_blank">绍兴</a> <a href="/tags/1185/" title="浙江" class="c1" target="_blank">浙江</a>

 <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1007/" title="浙江省" class="c1" target="_blank">浙江省</a> <a href="/tags/1090/" title="绍兴" class="c1" target="_blank">绍兴</a> <a href="/tags/1185/" title="浙江" class="c1" target="_blank">浙江</a>  <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1007/" title="浙江省" class="c1" target="_blank">浙江省</a> <a href="/tags/1090/" title="绍兴" class="c1" target="_blank">绍兴</a> <a href="/tags/1185/" title="浙江" class="c1" target="_blank">浙江</a> 中, <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1007/" title="浙江省" class="c1" target="_blank">浙江省</a> <a href="/tags/1090/" title="绍兴" class="c1" target="_blank">绍兴</a> <a href="/tags/1185/" title="浙江" class="c1" target="_blank">浙江</a>

 <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1007/" title="浙江省" class="c1" target="_blank">浙江省</a> <a href="/tags/1090/" title="绍兴" class="c1" target="_blank">绍兴</a> <a href="/tags/1185/" title="浙江" class="c1" target="_blank">浙江</a>

 <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1007/" title="浙江省" class="c1" target="_blank">浙江省</a> <a href="/tags/1090/" title="绍兴" class="c1" target="_blank">绍兴</a> <a href="/tags/1185/" title="浙江" class="c1" target="_blank">浙江</a>

2 <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1007/" title="浙江省" class="c1" target="_blank">浙江省</a> <a href="/tags/1090/" title="绍兴" class="c1" target="_blank">绍兴</a> <a href="/tags/1185/" title="浙江" class="c1" target="_blank">浙江</a>

添加一个条件:当 <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1007/" title="浙江省" class="c1" target="_blank">浙江省</a> <a href="/tags/1090/" title="绍兴" class="c1" target="_blank">绍兴</a> <a href="/tags/1185/" title="浙江" class="c1" target="_blank">浙江</a> 时, <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1007/" title="浙江省" class="c1" target="_blank">浙江省</a> <a href="/tags/1090/" title="绍兴" class="c1" target="_blank">绍兴</a> <a href="/tags/1185/" title="浙江" class="c1" target="_blank">浙江</a> (答案不唯一).

【点评】本题考查了平行四边形的性质、全等三角形的判定与性质、平行线的性质、三角形内角和定理等知识,熟练掌握全等三角形的判定与性质是解题的关键.

19.(8分)一只羽毛球的重量合格标准是5.0 <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1007/" title="浙江省" class="c1" target="_blank">浙江省</a> <a href="/tags/1090/" title="绍兴" class="c1" target="_blank">绍兴</a> <a href="/tags/1185/" title="浙江" class="c1" target="_blank">浙江</a> 克(含5.0克,不含5.2克),某厂对4月份生产的羽毛球重量进行抽样检验,并将所得数据绘制成如图统计图表.

4月份生产的羽毛球重量统计表

组别

重量 <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1007/" title="浙江省" class="c1" target="_blank">浙江省</a> <a href="/tags/1090/" title="绍兴" class="c1" target="_blank">绍兴</a> <a href="/tags/1185/" title="浙江" class="c1" target="_blank">浙江</a> (克 <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1007/" title="浙江省" class="c1" target="_blank">浙江省</a> <a href="/tags/1090/" title="绍兴" class="c1" target="_blank">绍兴</a> <a href="/tags/1185/" title="浙江" class="c1" target="_blank">浙江</a>

数量(只 <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1007/" title="浙江省" class="c1" target="_blank">浙江省</a> <a href="/tags/1090/" title="绍兴" class="c1" target="_blank">绍兴</a> <a href="/tags/1185/" title="浙江" class="c1" target="_blank">浙江</a>

 <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1007/" title="浙江省" class="c1" target="_blank">浙江省</a> <a href="/tags/1090/" title="绍兴" class="c1" target="_blank">绍兴</a> <a href="/tags/1185/" title="浙江" class="c1" target="_blank">浙江</a>

 <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1007/" title="浙江省" class="c1" target="_blank">浙江省</a> <a href="/tags/1090/" title="绍兴" class="c1" target="_blank">绍兴</a> <a href="/tags/1185/" title="浙江" class="c1" target="_blank">浙江</a>

 <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1007/" title="浙江省" class="c1" target="_blank">浙江省</a> <a href="/tags/1090/" title="绍兴" class="c1" target="_blank">绍兴</a> <a href="/tags/1185/" title="浙江" class="c1" target="_blank">浙江</a>

 <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1007/" title="浙江省" class="c1" target="_blank">浙江省</a> <a href="/tags/1090/" title="绍兴" class="c1" target="_blank">绍兴</a> <a href="/tags/1185/" title="浙江" class="c1" target="_blank">浙江</a>

 <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1007/" title="浙江省" class="c1" target="_blank">浙江省</a> <a href="/tags/1090/" title="绍兴" class="c1" target="_blank">绍兴</a> <a href="/tags/1185/" title="浙江" class="c1" target="_blank">浙江</a>

400

 <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1007/" title="浙江省" class="c1" target="_blank">浙江省</a> <a href="/tags/1090/" title="绍兴" class="c1" target="_blank">绍兴</a> <a href="/tags/1185/" title="浙江" class="c1" target="_blank">浙江</a>

 <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1007/" title="浙江省" class="c1" target="_blank">浙江省</a> <a href="/tags/1090/" title="绍兴" class="c1" target="_blank">绍兴</a> <a href="/tags/1185/" title="浙江" class="c1" target="_blank">浙江</a>

550

 <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1007/" title="浙江省" class="c1" target="_blank">浙江省</a> <a href="/tags/1090/" title="绍兴" class="c1" target="_blank">绍兴</a> <a href="/tags/1185/" title="浙江" class="c1" target="_blank">浙江</a>

 <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1007/" title="浙江省" class="c1" target="_blank">浙江省</a> <a href="/tags/1090/" title="绍兴" class="c1" target="_blank">绍兴</a> <a href="/tags/1185/" title="浙江" class="c1" target="_blank">浙江</a>

30

1)求表中 <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1007/" title="浙江省" class="c1" target="_blank">浙江省</a> <a href="/tags/1090/" title="绍兴" class="c1" target="_blank">绍兴</a> <a href="/tags/1185/" title="浙江" class="c1" target="_blank">浙江</a> 的值及图中 <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1007/" title="浙江省" class="c1" target="_blank">浙江省</a> <a href="/tags/1090/" title="绍兴" class="c1" target="_blank">绍兴</a> <a href="/tags/1185/" title="浙江" class="c1" target="_blank">浙江</a> 组扇形的圆心角的度数.

2)问这些抽样检验的羽毛球中,合格率是多少?如果购得4月份生产的羽毛球10筒(每筒12只),估计所购得的羽毛球中,非合格品的羽毛球有多少只?

Shape37

【分析】1)图表中“ <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1007/" title="浙江省" class="c1" target="_blank">浙江省</a> <a href="/tags/1090/" title="绍兴" class="c1" target="_blank">绍兴</a> <a href="/tags/1185/" title="浙江" class="c1" target="_blank">浙江</a> 组”的频数为550只,占抽查总数的 <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1007/" title="浙江省" class="c1" target="_blank">浙江省</a> <a href="/tags/1090/" title="绍兴" class="c1" target="_blank">绍兴</a> <a href="/tags/1185/" title="浙江" class="c1" target="_blank">浙江</a> ,可求出抽查总数,进而求出“ <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1007/" title="浙江省" class="c1" target="_blank">浙江省</a> <a href="/tags/1090/" title="绍兴" class="c1" target="_blank">绍兴</a> <a href="/tags/1185/" title="浙江" class="c1" target="_blank">浙江</a> 组”的频数,即 <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1007/" title="浙江省" class="c1" target="_blank">浙江省</a> <a href="/tags/1090/" title="绍兴" class="c1" target="_blank">绍兴</a> <a href="/tags/1185/" title="浙江" class="c1" target="_blank">浙江</a> 的值;求出“ <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1007/" title="浙江省" class="c1" target="_blank">浙江省</a> <a href="/tags/1090/" title="绍兴" class="c1" target="_blank">绍兴</a> <a href="/tags/1185/" title="浙江" class="c1" target="_blank">浙江</a> 组”所占总数的百分比,即可求出相应的圆心角的度数;

2)计算“ <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1007/" title="浙江省" class="c1" target="_blank">浙江省</a> <a href="/tags/1090/" title="绍兴" class="c1" target="_blank">绍兴</a> <a href="/tags/1185/" title="浙江" class="c1" target="_blank">浙江</a> 组”“  <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1007/" title="浙江省" class="c1" target="_blank">浙江省</a> <a href="/tags/1090/" title="绍兴" class="c1" target="_blank">绍兴</a> <a href="/tags/1185/" title="浙江" class="c1" target="_blank">浙江</a> 组”的频率的和即为合格率,求出“不合格”所占的百分比,即可求出不合格的数量.

【解答】解:(1 <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1007/" title="浙江省" class="c1" target="_blank">浙江省</a> <a href="/tags/1090/" title="绍兴" class="c1" target="_blank">绍兴</a> <a href="/tags/1185/" title="浙江" class="c1" target="_blank">浙江</a> (只 <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1007/" title="浙江省" class="c1" target="_blank">浙江省</a> <a href="/tags/1090/" title="绍兴" class="c1" target="_blank">绍兴</a> <a href="/tags/1185/" title="浙江" class="c1" target="_blank">浙江</a>  <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1007/" title="浙江省" class="c1" target="_blank">浙江省</a> <a href="/tags/1090/" title="绍兴" class="c1" target="_blank">绍兴</a> <a href="/tags/1185/" title="浙江" class="c1" target="_blank">浙江</a> (只 <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1007/" title="浙江省" class="c1" target="_blank">浙江省</a> <a href="/tags/1090/" title="绍兴" class="c1" target="_blank">绍兴</a> <a href="/tags/1185/" title="浙江" class="c1" target="_blank">浙江</a>

即: <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1007/" title="浙江省" class="c1" target="_blank">浙江省</a> <a href="/tags/1090/" title="绍兴" class="c1" target="_blank">绍兴</a> <a href="/tags/1185/" title="浙江" class="c1" target="_blank">浙江</a>

 <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1007/" title="浙江省" class="c1" target="_blank">浙江省</a> <a href="/tags/1090/" title="绍兴" class="c1" target="_blank">绍兴</a> <a href="/tags/1185/" title="浙江" class="c1" target="_blank">浙江</a>

答:表中 <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1007/" title="浙江省" class="c1" target="_blank">浙江省</a> <a href="/tags/1090/" title="绍兴" class="c1" target="_blank">绍兴</a> <a href="/tags/1185/" title="浙江" class="c1" target="_blank">浙江</a> 的值为20,图中 <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1007/" title="浙江省" class="c1" target="_blank">浙江省</a> <a href="/tags/1090/" title="绍兴" class="c1" target="_blank">绍兴</a> <a href="/tags/1185/" title="浙江" class="c1" target="_blank">浙江</a> 组扇形的圆心角的度数为 <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1007/" title="浙江省" class="c1" target="_blank">浙江省</a> <a href="/tags/1090/" title="绍兴" class="c1" target="_blank">绍兴</a> <a href="/tags/1185/" title="浙江" class="c1" target="_blank">浙江</a>

2 <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1007/" title="浙江省" class="c1" target="_blank">浙江省</a> <a href="/tags/1090/" title="绍兴" class="c1" target="_blank">绍兴</a> <a href="/tags/1185/" title="浙江" class="c1" target="_blank">浙江</a>

 <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1007/" title="浙江省" class="c1" target="_blank">浙江省</a> <a href="/tags/1090/" title="绍兴" class="c1" target="_blank">绍兴</a> <a href="/tags/1185/" title="浙江" class="c1" target="_blank">浙江</a> (只 <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1007/" title="浙江省" class="c1" target="_blank">浙江省</a> <a href="/tags/1090/" title="绍兴" class="c1" target="_blank">绍兴</a> <a href="/tags/1185/" title="浙江" class="c1" target="_blank">浙江</a>

答:这次抽样检验的合格率是 <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1007/" title="浙江省" class="c1" target="_blank">浙江省</a> <a href="/tags/1090/" title="绍兴" class="c1" target="_blank">绍兴</a> <a href="/tags/1185/" title="浙江" class="c1" target="_blank">浙江</a> ,所购得的羽毛球中,非合格品的羽毛球有6只.

【点评】考查统计表、扇形统计图的意义和制作方法,理解图表中的数量和数量之间的关系,是正确计算的前提.

20.(8分)我国传统的计重工具 <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1007/" title="浙江省" class="c1" target="_blank">浙江省</a> <a href="/tags/1090/" title="绍兴" class="c1" target="_blank">绍兴</a> <a href="/tags/1185/" title="浙江" class="c1" target="_blank">浙江</a> 秤的应用,方便了人们的生活.如图1,可以用秤砣到秤纽的水平距离,来得出秤钩上所挂物体的重量.称重时,若秤杆上秤砣到秤纽的水平距离为 <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1007/" title="浙江省" class="c1" target="_blank">浙江省</a> <a href="/tags/1090/" title="绍兴" class="c1" target="_blank">绍兴</a> <a href="/tags/1185/" title="浙江" class="c1" target="_blank">浙江</a> (厘米)时,秤钩所挂物重为 <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1007/" title="浙江省" class="c1" target="_blank">浙江省</a> <a href="/tags/1090/" title="绍兴" class="c1" target="_blank">绍兴</a> <a href="/tags/1185/" title="浙江" class="c1" target="_blank">浙江</a> (斤 <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1007/" title="浙江省" class="c1" target="_blank">浙江省</a> <a href="/tags/1090/" title="绍兴" class="c1" target="_blank">绍兴</a> <a href="/tags/1185/" title="浙江" class="c1" target="_blank">浙江</a> ,则 <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1007/" title="浙江省" class="c1" target="_blank">浙江省</a> <a href="/tags/1090/" title="绍兴" class="c1" target="_blank">绍兴</a> <a href="/tags/1185/" title="浙江" class="c1" target="_blank">浙江</a>  <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1007/" title="浙江省" class="c1" target="_blank">浙江省</a> <a href="/tags/1090/" title="绍兴" class="c1" target="_blank">绍兴</a> <a href="/tags/1185/" title="浙江" class="c1" target="_blank">浙江</a> 的一次函数.下表中为若干次称重时所记录的一些数据.

 <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1007/" title="浙江省" class="c1" target="_blank">浙江省</a> <a href="/tags/1090/" title="绍兴" class="c1" target="_blank">绍兴</a> <a href="/tags/1185/" title="浙江" class="c1" target="_blank">浙江</a> (厘米)

1

2

4

7

11

12

 <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1007/" title="浙江省" class="c1" target="_blank">浙江省</a> <a href="/tags/1090/" title="绍兴" class="c1" target="_blank">绍兴</a> <a href="/tags/1185/" title="浙江" class="c1" target="_blank">浙江</a> (斤 <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1007/" title="浙江省" class="c1" target="_blank">浙江省</a> <a href="/tags/1090/" title="绍兴" class="c1" target="_blank">绍兴</a> <a href="/tags/1185/" title="浙江" class="c1" target="_blank">浙江</a>

0.75

1.00

1.50

2.75

3.25

3.50

1)在上表 <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1007/" title="浙江省" class="c1" target="_blank">浙江省</a> <a href="/tags/1090/" title="绍兴" class="c1" target="_blank">绍兴</a> <a href="/tags/1185/" title="浙江" class="c1" target="_blank">浙江</a>  <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1007/" title="浙江省" class="c1" target="_blank">浙江省</a> <a href="/tags/1090/" title="绍兴" class="c1" target="_blank">绍兴</a> <a href="/tags/1185/" title="浙江" class="c1" target="_blank">浙江</a> 的数据中,发现有一对数据记录错误.在图2中,通过描点的方法,观察判断哪一对是错误的?

2)根据(1)的发现,问秤杆上秤砣到秤纽的水平距离为16厘米时,秤钩所挂物重是多少?

Shape38

【分析】1)利用描点法画出图形即可判断.

2)设函数关系式为 <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1007/" title="浙江省" class="c1" target="_blank">浙江省</a> <a href="/tags/1090/" title="绍兴" class="c1" target="_blank">绍兴</a> <a href="/tags/1185/" title="浙江" class="c1" target="_blank">浙江</a> ,利用待定系数法解决问题即可.

【解答】解:(1)观察图象可知: <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1007/" title="浙江省" class="c1" target="_blank">浙江省</a> <a href="/tags/1090/" title="绍兴" class="c1" target="_blank">绍兴</a> <a href="/tags/1185/" title="浙江" class="c1" target="_blank">浙江</a>  <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1007/" title="浙江省" class="c1" target="_blank">浙江省</a> <a href="/tags/1090/" title="绍兴" class="c1" target="_blank">绍兴</a> <a href="/tags/1185/" title="浙江" class="c1" target="_blank">浙江</a> 这组数据错误.

Shape39


2)设 <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1007/" title="浙江省" class="c1" target="_blank">浙江省</a> <a href="/tags/1090/" title="绍兴" class="c1" target="_blank">绍兴</a> <a href="/tags/1185/" title="浙江" class="c1" target="_blank">浙江</a> ,把 <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1007/" title="浙江省" class="c1" target="_blank">浙江省</a> <a href="/tags/1090/" title="绍兴" class="c1" target="_blank">绍兴</a> <a href="/tags/1185/" title="浙江" class="c1" target="_blank">浙江</a>  <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1007/" title="浙江省" class="c1" target="_blank">浙江省</a> <a href="/tags/1090/" title="绍兴" class="c1" target="_blank">绍兴</a> <a href="/tags/1185/" title="浙江" class="c1" target="_blank">浙江</a>  <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1007/" title="浙江省" class="c1" target="_blank">浙江省</a> <a href="/tags/1090/" title="绍兴" class="c1" target="_blank">绍兴</a> <a href="/tags/1185/" title="浙江" class="c1" target="_blank">浙江</a>  <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1007/" title="浙江省" class="c1" target="_blank">浙江省</a> <a href="/tags/1090/" title="绍兴" class="c1" target="_blank">绍兴</a> <a href="/tags/1185/" title="浙江" class="c1" target="_blank">浙江</a> 代入可得 <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1007/" title="浙江省" class="c1" target="_blank">浙江省</a> <a href="/tags/1090/" title="绍兴" class="c1" target="_blank">绍兴</a> <a href="/tags/1185/" title="浙江" class="c1" target="_blank">浙江</a>

解得 <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1007/" title="浙江省" class="c1" target="_blank">浙江省</a> <a href="/tags/1090/" title="绍兴" class="c1" target="_blank">绍兴</a> <a href="/tags/1185/" title="浙江" class="c1" target="_blank">浙江</a>

 <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1007/" title="浙江省" class="c1" target="_blank">浙江省</a> <a href="/tags/1090/" title="绍兴" class="c1" target="_blank">绍兴</a> <a href="/tags/1185/" title="浙江" class="c1" target="_blank">浙江</a>

 <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1007/" title="浙江省" class="c1" target="_blank">浙江省</a> <a href="/tags/1090/" title="绍兴" class="c1" target="_blank">绍兴</a> <a href="/tags/1185/" title="浙江" class="c1" target="_blank">浙江</a> 时, <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1007/" title="浙江省" class="c1" target="_blank">浙江省</a> <a href="/tags/1090/" title="绍兴" class="c1" target="_blank">绍兴</a> <a href="/tags/1185/" title="浙江" class="c1" target="_blank">浙江</a>

答:秤杆上秤砣到秤纽的水平距离为16厘米时,秤钩所挂物重是4.5斤.

【点评】本题考查一次函数的应用,待定系数法等知识,解题的关键是理解题意,灵活运用所学知识解决问题.

21.(10分)如图1为搭建在地面上的遮阳棚,图2、图3是遮阳棚支架的示意图.遮阳棚支架由相同的菱形和相同的等腰三角形构成,滑块 <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1007/" title="浙江省" class="c1" target="_blank">浙江省</a> <a href="/tags/1090/" title="绍兴" class="c1" target="_blank">绍兴</a> <a href="/tags/1185/" title="浙江" class="c1" target="_blank">浙江</a>  <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1007/" title="浙江省" class="c1" target="_blank">浙江省</a> <a href="/tags/1090/" title="绍兴" class="c1" target="_blank">绍兴</a> <a href="/tags/1185/" title="浙江" class="c1" target="_blank">浙江</a> 可分别沿等长的立柱 <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1007/" title="浙江省" class="c1" target="_blank">浙江省</a> <a href="/tags/1090/" title="绍兴" class="c1" target="_blank">绍兴</a> <a href="/tags/1185/" title="浙江" class="c1" target="_blank">浙江</a>  <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1007/" title="浙江省" class="c1" target="_blank">浙江省</a> <a href="/tags/1090/" title="绍兴" class="c1" target="_blank">绍兴</a> <a href="/tags/1185/" title="浙江" class="c1" target="_blank">浙江</a> 上下移动, <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1007/" title="浙江省" class="c1" target="_blank">浙江省</a> <a href="/tags/1090/" title="绍兴" class="c1" target="_blank">绍兴</a> <a href="/tags/1185/" title="浙江" class="c1" target="_blank">浙江</a>

1)若移动滑块使 <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1007/" title="浙江省" class="c1" target="_blank">浙江省</a> <a href="/tags/1090/" title="绍兴" class="c1" target="_blank">绍兴</a> <a href="/tags/1185/" title="浙江" class="c1" target="_blank">浙江</a> ,求 <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1007/" title="浙江省" class="c1" target="_blank">浙江省</a> <a href="/tags/1090/" title="绍兴" class="c1" target="_blank">绍兴</a> <a href="/tags/1185/" title="浙江" class="c1" target="_blank">浙江</a> 的度数和棚宽 <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1007/" title="浙江省" class="c1" target="_blank">浙江省</a> <a href="/tags/1090/" title="绍兴" class="c1" target="_blank">绍兴</a> <a href="/tags/1185/" title="浙江" class="c1" target="_blank">浙江</a> 的长.

2)当 <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1007/" title="浙江省" class="c1" target="_blank">浙江省</a> <a href="/tags/1090/" title="绍兴" class="c1" target="_blank">绍兴</a> <a href="/tags/1185/" title="浙江" class="c1" target="_blank">浙江</a>  <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1007/" title="浙江省" class="c1" target="_blank">浙江省</a> <a href="/tags/1090/" title="绍兴" class="c1" target="_blank">绍兴</a> <a href="/tags/1185/" title="浙江" class="c1" target="_blank">浙江</a> 变为 <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1007/" title="浙江省" class="c1" target="_blank">浙江省</a> <a href="/tags/1090/" title="绍兴" class="c1" target="_blank">绍兴</a> <a href="/tags/1185/" title="浙江" class="c1" target="_blank">浙江</a> 时,问棚宽 <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1007/" title="浙江省" class="c1" target="_blank">浙江省</a> <a href="/tags/1090/" title="绍兴" class="c1" target="_blank">绍兴</a> <a href="/tags/1185/" title="浙江" class="c1" target="_blank">浙江</a> 是增加还是减少?增加或减少了多少?

(结果精确到 <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1007/" title="浙江省" class="c1" target="_blank">浙江省</a> <a href="/tags/1090/" title="绍兴" class="c1" target="_blank">绍兴</a> <a href="/tags/1185/" title="浙江" class="c1" target="_blank">浙江</a> ,参考数据: <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1007/" title="浙江省" class="c1" target="_blank">浙江省</a> <a href="/tags/1090/" title="绍兴" class="c1" target="_blank">绍兴</a> <a href="/tags/1185/" title="浙江" class="c1" target="_blank">浙江</a>  <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1007/" title="浙江省" class="c1" target="_blank">浙江省</a> <a href="/tags/1090/" title="绍兴" class="c1" target="_blank">绍兴</a> <a href="/tags/1185/" title="浙江" class="c1" target="_blank">浙江</a>  <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1007/" title="浙江省" class="c1" target="_blank">浙江省</a> <a href="/tags/1090/" title="绍兴" class="c1" target="_blank">绍兴</a> <a href="/tags/1185/" title="浙江" class="c1" target="_blank">浙江</a>  <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1007/" title="浙江省" class="c1" target="_blank">浙江省</a> <a href="/tags/1090/" title="绍兴" class="c1" target="_blank">绍兴</a> <a href="/tags/1185/" title="浙江" class="c1" target="_blank">浙江</a>

Shape40

【分析】1)根据等边三角形的性质得到 <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1007/" title="浙江省" class="c1" target="_blank">浙江省</a> <a href="/tags/1090/" title="绍兴" class="c1" target="_blank">绍兴</a> <a href="/tags/1185/" title="浙江" class="c1" target="_blank">浙江</a> ,连接 <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1007/" title="浙江省" class="c1" target="_blank">浙江省</a> <a href="/tags/1090/" title="绍兴" class="c1" target="_blank">绍兴</a> <a href="/tags/1185/" title="浙江" class="c1" target="_blank">浙江</a> 并延长交 <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1007/" title="浙江省" class="c1" target="_blank">浙江省</a> <a href="/tags/1090/" title="绍兴" class="c1" target="_blank">绍兴</a> <a href="/tags/1185/" title="浙江" class="c1" target="_blank">浙江</a>  <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1007/" title="浙江省" class="c1" target="_blank">浙江省</a> <a href="/tags/1090/" title="绍兴" class="c1" target="_blank">绍兴</a> <a href="/tags/1185/" title="浙江" class="c1" target="_blank">浙江</a> ,则 <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1007/" title="浙江省" class="c1" target="_blank">浙江省</a> <a href="/tags/1090/" title="绍兴" class="c1" target="_blank">绍兴</a> <a href="/tags/1185/" title="浙江" class="c1" target="_blank">浙江</a> ,求得 <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1007/" title="浙江省" class="c1" target="_blank">浙江省</a> <a href="/tags/1090/" title="绍兴" class="c1" target="_blank">绍兴</a> <a href="/tags/1185/" title="浙江" class="c1" target="_blank">浙江</a> ,于是得到结论;

2)解直角三角形即可得到结论.

【解答】解:(1 <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1007/" title="浙江省" class="c1" target="_blank">浙江省</a> <a href="/tags/1090/" title="绍兴" class="c1" target="_blank">绍兴</a> <a href="/tags/1185/" title="浙江" class="c1" target="_blank">浙江</a>

 <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1007/" title="浙江省" class="c1" target="_blank">浙江省</a> <a href="/tags/1090/" title="绍兴" class="c1" target="_blank">绍兴</a> <a href="/tags/1185/" title="浙江" class="c1" target="_blank">浙江</a> 是等边三角形,

 <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1007/" title="浙江省" class="c1" target="_blank">浙江省</a> <a href="/tags/1090/" title="绍兴" class="c1" target="_blank">绍兴</a> <a href="/tags/1185/" title="浙江" class="c1" target="_blank">浙江</a>

连接 <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1007/" title="浙江省" class="c1" target="_blank">浙江省</a> <a href="/tags/1090/" title="绍兴" class="c1" target="_blank">绍兴</a> <a href="/tags/1185/" title="浙江" class="c1" target="_blank">浙江</a> 并延长交 <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1007/" title="浙江省" class="c1" target="_blank">浙江省</a> <a href="/tags/1090/" title="绍兴" class="c1" target="_blank">绍兴</a> <a href="/tags/1185/" title="浙江" class="c1" target="_blank">浙江</a>  <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1007/" title="浙江省" class="c1" target="_blank">浙江省</a> <a href="/tags/1090/" title="绍兴" class="c1" target="_blank">绍兴</a> <a href="/tags/1185/" title="浙江" class="c1" target="_blank">浙江</a> ,则 <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1007/" title="浙江省" class="c1" target="_blank">浙江省</a> <a href="/tags/1090/" title="绍兴" class="c1" target="_blank">绍兴</a> <a href="/tags/1185/" title="浙江" class="c1" target="_blank">浙江</a>

 <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1007/" title="浙江省" class="c1" target="_blank">浙江省</a> <a href="/tags/1090/" title="绍兴" class="c1" target="_blank">绍兴</a> <a href="/tags/1185/" title="浙江" class="c1" target="_blank">浙江</a> 是等边三角形,

 <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1007/" title="浙江省" class="c1" target="_blank">浙江省</a> <a href="/tags/1090/" title="绍兴" class="c1" target="_blank">绍兴</a> <a href="/tags/1185/" title="浙江" class="c1" target="_blank">浙江</a>

 <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1007/" title="浙江省" class="c1" target="_blank">浙江省</a> <a href="/tags/1090/" title="绍兴" class="c1" target="_blank">绍兴</a> <a href="/tags/1185/" title="浙江" class="c1" target="_blank">浙江</a>

 <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1007/" title="浙江省" class="c1" target="_blank">浙江省</a> <a href="/tags/1090/" title="绍兴" class="c1" target="_blank">绍兴</a> <a href="/tags/1185/" title="浙江" class="c1" target="_blank">浙江</a>

 <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1007/" title="浙江省" class="c1" target="_blank">浙江省</a> <a href="/tags/1090/" title="绍兴" class="c1" target="_blank">绍兴</a> <a href="/tags/1185/" title="浙江" class="c1" target="_blank">浙江</a>

2 <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1007/" title="浙江省" class="c1" target="_blank">浙江省</a> <a href="/tags/1090/" title="绍兴" class="c1" target="_blank">绍兴</a> <a href="/tags/1185/" title="浙江" class="c1" target="_blank">浙江</a>

 <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1007/" title="浙江省" class="c1" target="_blank">浙江省</a> <a href="/tags/1090/" title="绍兴" class="c1" target="_blank">绍兴</a> <a href="/tags/1185/" title="浙江" class="c1" target="_blank">浙江</a>

 <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1007/" title="浙江省" class="c1" target="_blank">浙江省</a> <a href="/tags/1090/" title="绍兴" class="c1" target="_blank">绍兴</a> <a href="/tags/1185/" title="浙江" class="c1" target="_blank">浙江</a>

 <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1007/" title="浙江省" class="c1" target="_blank">浙江省</a> <a href="/tags/1090/" title="绍兴" class="c1" target="_blank">绍兴</a> <a href="/tags/1185/" title="浙江" class="c1" target="_blank">浙江</a>

 <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1007/" title="浙江省" class="c1" target="_blank">浙江省</a> <a href="/tags/1090/" title="绍兴" class="c1" target="_blank">绍兴</a> <a href="/tags/1185/" title="浙江" class="c1" target="_blank">浙江</a>

 <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1007/" title="浙江省" class="c1" target="_blank">浙江省</a> <a href="/tags/1090/" title="绍兴" class="c1" target="_blank">绍兴</a> <a href="/tags/1185/" title="浙江" class="c1" target="_blank">浙江</a>

答:当 <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1007/" title="浙江省" class="c1" target="_blank">浙江省</a> <a href="/tags/1090/" title="绍兴" class="c1" target="_blank">绍兴</a> <a href="/tags/1185/" title="浙江" class="c1" target="_blank">浙江</a>  <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1007/" title="浙江省" class="c1" target="_blank">浙江省</a> <a href="/tags/1090/" title="绍兴" class="c1" target="_blank">绍兴</a> <a href="/tags/1185/" title="浙江" class="c1" target="_blank">浙江</a> 变为 <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1007/" title="浙江省" class="c1" target="_blank">浙江省</a> <a href="/tags/1090/" title="绍兴" class="c1" target="_blank">绍兴</a> <a href="/tags/1185/" title="浙江" class="c1" target="_blank">浙江</a> 时,棚宽 <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1007/" title="浙江省" class="c1" target="_blank">浙江省</a> <a href="/tags/1090/" title="绍兴" class="c1" target="_blank">绍兴</a> <a href="/tags/1185/" title="浙江" class="c1" target="_blank">浙江</a> 是减少了,减少了 <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1007/" title="浙江省" class="c1" target="_blank">浙江省</a> <a href="/tags/1090/" title="绍兴" class="c1" target="_blank">绍兴</a> <a href="/tags/1185/" title="浙江" class="c1" target="_blank">浙江</a>

Shape41

【点评】本题考查了解直角三角形的应用,菱形的性质,等边三角形的性质,正确的理解题意是解题的关键.

22.(12分)问题:如图,在 <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1007/" title="浙江省" class="c1" target="_blank">浙江省</a> <a href="/tags/1090/" title="绍兴" class="c1" target="_blank">绍兴</a> <a href="/tags/1185/" title="浙江" class="c1" target="_blank">浙江</a> 中, <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1007/" title="浙江省" class="c1" target="_blank">浙江省</a> <a href="/tags/1090/" title="绍兴" class="c1" target="_blank">绍兴</a> <a href="/tags/1185/" title="浙江" class="c1" target="_blank">浙江</a> .在 <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1007/" title="浙江省" class="c1" target="_blank">浙江省</a> <a href="/tags/1090/" title="绍兴" class="c1" target="_blank">绍兴</a> <a href="/tags/1185/" title="浙江" class="c1" target="_blank">浙江</a> 的延长线上取点 <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1007/" title="浙江省" class="c1" target="_blank">浙江省</a> <a href="/tags/1090/" title="绍兴" class="c1" target="_blank">绍兴</a> <a href="/tags/1185/" title="浙江" class="c1" target="_blank">浙江</a>  <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1007/" title="浙江省" class="c1" target="_blank">浙江省</a> <a href="/tags/1090/" title="绍兴" class="c1" target="_blank">绍兴</a> <a href="/tags/1185/" title="浙江" class="c1" target="_blank">浙江</a> ,作 <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1007/" title="浙江省" class="c1" target="_blank">浙江省</a> <a href="/tags/1090/" title="绍兴" class="c1" target="_blank">绍兴</a> <a href="/tags/1185/" title="浙江" class="c1" target="_blank">浙江</a> ,使 <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1007/" title="浙江省" class="c1" target="_blank">浙江省</a> <a href="/tags/1090/" title="绍兴" class="c1" target="_blank">绍兴</a> <a href="/tags/1185/" title="浙江" class="c1" target="_blank">浙江</a> .若 <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1007/" title="浙江省" class="c1" target="_blank">浙江省</a> <a href="/tags/1090/" title="绍兴" class="c1" target="_blank">绍兴</a> <a href="/tags/1185/" title="浙江" class="c1" target="_blank">浙江</a>  <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1007/" title="浙江省" class="c1" target="_blank">浙江省</a> <a href="/tags/1090/" title="绍兴" class="c1" target="_blank">绍兴</a> <a href="/tags/1185/" title="浙江" class="c1" target="_blank">浙江</a> ,求 <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1007/" title="浙江省" class="c1" target="_blank">浙江省</a> <a href="/tags/1090/" title="绍兴" class="c1" target="_blank">绍兴</a> <a href="/tags/1185/" title="浙江" class="c1" target="_blank">浙江</a> 的度数.

答案: <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1007/" title="浙江省" class="c1" target="_blank">浙江省</a> <a href="/tags/1090/" title="绍兴" class="c1" target="_blank">绍兴</a> <a href="/tags/1185/" title="浙江" class="c1" target="_blank">浙江</a>

思考:(1)如果把以上“问题”中的条件“ <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1007/" title="浙江省" class="c1" target="_blank">浙江省</a> <a href="/tags/1090/" title="绍兴" class="c1" target="_blank">绍兴</a> <a href="/tags/1185/" title="浙江" class="c1" target="_blank">浙江</a> ”去掉,其余条件不变,那么 <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1007/" title="浙江省" class="c1" target="_blank">浙江省</a> <a href="/tags/1090/" title="绍兴" class="c1" target="_blank">绍兴</a> <a href="/tags/1185/" title="浙江" class="c1" target="_blank">浙江</a> 的度数会改变吗?说明理由.

2)如果把以上“问题”中的条件“ <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1007/" title="浙江省" class="c1" target="_blank">浙江省</a> <a href="/tags/1090/" title="绍兴" class="c1" target="_blank">绍兴</a> <a href="/tags/1185/" title="浙江" class="c1" target="_blank">浙江</a> ”去掉,再将“ <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1007/" title="浙江省" class="c1" target="_blank">浙江省</a> <a href="/tags/1090/" title="绍兴" class="c1" target="_blank">绍兴</a> <a href="/tags/1185/" title="浙江" class="c1" target="_blank">浙江</a> ”改为“ <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1007/" title="浙江省" class="c1" target="_blank">浙江省</a> <a href="/tags/1090/" title="绍兴" class="c1" target="_blank">绍兴</a> <a href="/tags/1185/" title="浙江" class="c1" target="_blank">浙江</a> ”,其余条件不变,求 <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1007/" title="浙江省" class="c1" target="_blank">浙江省</a> <a href="/tags/1090/" title="绍兴" class="c1" target="_blank">绍兴</a> <a href="/tags/1185/" title="浙江" class="c1" target="_blank">浙江</a> 的度数.

Shape42

【分析】1)根据等腰三角形的性质得到 <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1007/" title="浙江省" class="c1" target="_blank">浙江省</a> <a href="/tags/1090/" title="绍兴" class="c1" target="_blank">绍兴</a> <a href="/tags/1185/" title="浙江" class="c1" target="_blank">浙江</a> 求得 <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1007/" title="浙江省" class="c1" target="_blank">浙江省</a> <a href="/tags/1090/" title="绍兴" class="c1" target="_blank">绍兴</a> <a href="/tags/1185/" title="浙江" class="c1" target="_blank">浙江</a> 即可得到结论;

2)设 <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1007/" title="浙江省" class="c1" target="_blank">浙江省</a> <a href="/tags/1090/" title="绍兴" class="c1" target="_blank">绍兴</a> <a href="/tags/1185/" title="浙江" class="c1" target="_blank">浙江</a> ,根据三角形的内角和定理和等腰三角形的性质即可得到结论.

【解答】解:(1 <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1007/" title="浙江省" class="c1" target="_blank">浙江省</a> <a href="/tags/1090/" title="绍兴" class="c1" target="_blank">绍兴</a> <a href="/tags/1185/" title="浙江" class="c1" target="_blank">浙江</a> 的度数不会改变;

 <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1007/" title="浙江省" class="c1" target="_blank">浙江省</a> <a href="/tags/1090/" title="绍兴" class="c1" target="_blank">绍兴</a> <a href="/tags/1185/" title="浙江" class="c1" target="_blank">浙江</a>

 <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1007/" title="浙江省" class="c1" target="_blank">浙江省</a> <a href="/tags/1090/" title="绍兴" class="c1" target="_blank">绍兴</a> <a href="/tags/1185/" title="浙江" class="c1" target="_blank">浙江</a>

 <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1007/" title="浙江省" class="c1" target="_blank">浙江省</a> <a href="/tags/1090/" title="绍兴" class="c1" target="_blank">绍兴</a> <a href="/tags/1185/" title="浙江" class="c1" target="_blank">浙江</a>

 <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1007/" title="浙江省" class="c1" target="_blank">浙江省</a> <a href="/tags/1090/" title="绍兴" class="c1" target="_blank">绍兴</a> <a href="/tags/1185/" title="浙江" class="c1" target="_blank">浙江</a>

 <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1007/" title="浙江省" class="c1" target="_blank">浙江省</a> <a href="/tags/1090/" title="绍兴" class="c1" target="_blank">绍兴</a> <a href="/tags/1185/" title="浙江" class="c1" target="_blank">浙江</a>

得, <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1007/" title="浙江省" class="c1" target="_blank">浙江省</a> <a href="/tags/1090/" title="绍兴" class="c1" target="_blank">绍兴</a> <a href="/tags/1185/" title="浙江" class="c1" target="_blank">浙江</a>

2)设 <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1007/" title="浙江省" class="c1" target="_blank">浙江省</a> <a href="/tags/1090/" title="绍兴" class="c1" target="_blank">绍兴</a> <a href="/tags/1185/" title="浙江" class="c1" target="_blank">浙江</a>

 <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1007/" title="浙江省" class="c1" target="_blank">浙江省</a> <a href="/tags/1090/" title="绍兴" class="c1" target="_blank">绍兴</a> <a href="/tags/1185/" title="浙江" class="c1" target="_blank">浙江</a>  <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1007/" title="浙江省" class="c1" target="_blank">浙江省</a> <a href="/tags/1090/" title="绍兴" class="c1" target="_blank">绍兴</a> <a href="/tags/1185/" title="浙江" class="c1" target="_blank">浙江</a>

 <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1007/" title="浙江省" class="c1" target="_blank">浙江省</a> <a href="/tags/1090/" title="绍兴" class="c1" target="_blank">绍兴</a> <a href="/tags/1185/" title="浙江" class="c1" target="_blank">浙江</a>

 <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1007/" title="浙江省" class="c1" target="_blank">浙江省</a> <a href="/tags/1090/" title="绍兴" class="c1" target="_blank">绍兴</a> <a href="/tags/1185/" title="浙江" class="c1" target="_blank">浙江</a>

 <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1007/" title="浙江省" class="c1" target="_blank">浙江省</a> <a href="/tags/1090/" title="绍兴" class="c1" target="_blank">绍兴</a> <a href="/tags/1185/" title="浙江" class="c1" target="_blank">浙江</a>

 <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1007/" title="浙江省" class="c1" target="_blank">浙江省</a> <a href="/tags/1090/" title="绍兴" class="c1" target="_blank">绍兴</a> <a href="/tags/1185/" title="浙江" class="c1" target="_blank">浙江</a>

【点评】本题考查了等腰三角形的性质,三角形的内角和定理,正确的识别图形是解题的关键.

23.(12分)如图1,排球场长为 <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1007/" title="浙江省" class="c1" target="_blank">浙江省</a> <a href="/tags/1090/" title="绍兴" class="c1" target="_blank">绍兴</a> <a href="/tags/1185/" title="浙江" class="c1" target="_blank">浙江</a> ,宽为 <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1007/" title="浙江省" class="c1" target="_blank">浙江省</a> <a href="/tags/1090/" title="绍兴" class="c1" target="_blank">绍兴</a> <a href="/tags/1185/" title="浙江" class="c1" target="_blank">浙江</a> ,网高为 <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1007/" title="浙江省" class="c1" target="_blank">浙江省</a> <a href="/tags/1090/" title="绍兴" class="c1" target="_blank">绍兴</a> <a href="/tags/1185/" title="浙江" class="c1" target="_blank">浙江</a> ,队员站在底线 <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1007/" title="浙江省" class="c1" target="_blank">浙江省</a> <a href="/tags/1090/" title="绍兴" class="c1" target="_blank">绍兴</a> <a href="/tags/1185/" title="浙江" class="c1" target="_blank">浙江</a> 点处发球,球从点 <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1007/" title="浙江省" class="c1" target="_blank">浙江省</a> <a href="/tags/1090/" title="绍兴" class="c1" target="_blank">绍兴</a> <a href="/tags/1185/" title="浙江" class="c1" target="_blank">浙江</a> 的正上方 <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1007/" title="浙江省" class="c1" target="_blank">浙江省</a> <a href="/tags/1090/" title="绍兴" class="c1" target="_blank">绍兴</a> <a href="/tags/1185/" title="浙江" class="c1" target="_blank">浙江</a>  <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1007/" title="浙江省" class="c1" target="_blank">浙江省</a> <a href="/tags/1090/" title="绍兴" class="c1" target="_blank">绍兴</a> <a href="/tags/1185/" title="浙江" class="c1" target="_blank">浙江</a> 点发出,运动路线是抛物线的一部分,当球运动到最高点 <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1007/" title="浙江省" class="c1" target="_blank">浙江省</a> <a href="/tags/1090/" title="绍兴" class="c1" target="_blank">绍兴</a> <a href="/tags/1185/" title="浙江" class="c1" target="_blank">浙江</a> 时,高度为 <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1007/" title="浙江省" class="c1" target="_blank">浙江省</a> <a href="/tags/1090/" title="绍兴" class="c1" target="_blank">绍兴</a> <a href="/tags/1185/" title="浙江" class="c1" target="_blank">浙江</a> ,即 <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1007/" title="浙江省" class="c1" target="_blank">浙江省</a> <a href="/tags/1090/" title="绍兴" class="c1" target="_blank">绍兴</a> <a href="/tags/1185/" title="浙江" class="c1" target="_blank">浙江</a> ,这时水平距离 <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1007/" title="浙江省" class="c1" target="_blank">浙江省</a> <a href="/tags/1090/" title="绍兴" class="c1" target="_blank">绍兴</a> <a href="/tags/1185/" title="浙江" class="c1" target="_blank">浙江</a> ,以直线 <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1007/" title="浙江省" class="c1" target="_blank">浙江省</a> <a href="/tags/1090/" title="绍兴" class="c1" target="_blank">绍兴</a> <a href="/tags/1185/" title="浙江" class="c1" target="_blank">浙江</a>  <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1007/" title="浙江省" class="c1" target="_blank">浙江省</a> <a href="/tags/1090/" title="绍兴" class="c1" target="_blank">绍兴</a> <a href="/tags/1185/" title="浙江" class="c1" target="_blank">浙江</a> 轴,直线 <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1007/" title="浙江省" class="c1" target="_blank">浙江省</a> <a href="/tags/1090/" title="绍兴" class="c1" target="_blank">绍兴</a> <a href="/tags/1185/" title="浙江" class="c1" target="_blank">浙江</a>  <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1007/" title="浙江省" class="c1" target="_blank">浙江省</a> <a href="/tags/1090/" title="绍兴" class="c1" target="_blank">绍兴</a> <a href="/tags/1185/" title="浙江" class="c1" target="_blank">浙江</a> 轴,建立平面直角坐标系,如图2

1)若球向正前方运动(即 <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1007/" title="浙江省" class="c1" target="_blank">浙江省</a> <a href="/tags/1090/" title="绍兴" class="c1" target="_blank">绍兴</a> <a href="/tags/1185/" title="浙江" class="c1" target="_blank">浙江</a> 轴垂直于底线),求球运动的高度 <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1007/" title="浙江省" class="c1" target="_blank">浙江省</a> <a href="/tags/1090/" title="绍兴" class="c1" target="_blank">绍兴</a> <a href="/tags/1185/" title="浙江" class="c1" target="_blank">浙江</a> 与水平距离 <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1007/" title="浙江省" class="c1" target="_blank">浙江省</a> <a href="/tags/1090/" title="绍兴" class="c1" target="_blank">绍兴</a> <a href="/tags/1185/" title="浙江" class="c1" target="_blank">浙江</a> 之间的函数关系式(不必写出 <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1007/" title="浙江省" class="c1" target="_blank">浙江省</a> <a href="/tags/1090/" title="绍兴" class="c1" target="_blank">绍兴</a> <a href="/tags/1185/" title="浙江" class="c1" target="_blank">浙江</a> 取值范围).并判断这次发球能否过网?是否出界?说明理由.

2)若球过网后的落点是对方场地号位内的点 <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1007/" title="浙江省" class="c1" target="_blank">浙江省</a> <a href="/tags/1090/" title="绍兴" class="c1" target="_blank">绍兴</a> <a href="/tags/1185/" title="浙江" class="c1" target="_blank">浙江</a> (如图1,点 <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1007/" title="浙江省" class="c1" target="_blank">浙江省</a> <a href="/tags/1090/" title="绍兴" class="c1" target="_blank">绍兴</a> <a href="/tags/1185/" title="浙江" class="c1" target="_blank">浙江</a> 距底线 <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1007/" title="浙江省" class="c1" target="_blank">浙江省</a> <a href="/tags/1090/" title="绍兴" class="c1" target="_blank">绍兴</a> <a href="/tags/1185/" title="浙江" class="c1" target="_blank">浙江</a> ,边线 <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1007/" title="浙江省" class="c1" target="_blank">浙江省</a> <a href="/tags/1090/" title="绍兴" class="c1" target="_blank">绍兴</a> <a href="/tags/1185/" title="浙江" class="c1" target="_blank">浙江</a> ,问发球点 <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1007/" title="浙江省" class="c1" target="_blank">浙江省</a> <a href="/tags/1090/" title="绍兴" class="c1" target="_blank">绍兴</a> <a href="/tags/1185/" title="浙江" class="c1" target="_blank">浙江</a> 在底线上的哪个位置?(参考数据: <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1007/" title="浙江省" class="c1" target="_blank">浙江省</a> <a href="/tags/1090/" title="绍兴" class="c1" target="_blank">绍兴</a> <a href="/tags/1185/" title="浙江" class="c1" target="_blank">浙江</a>  <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1007/" title="浙江省" class="c1" target="_blank">浙江省</a> <a href="/tags/1090/" title="绍兴" class="c1" target="_blank">绍兴</a> <a href="/tags/1185/" title="浙江" class="c1" target="_blank">浙江</a>

Shape43

【分析】1)求出抛物线表达式;再确定 <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1007/" title="浙江省" class="c1" target="_blank">浙江省</a> <a href="/tags/1090/" title="绍兴" class="c1" target="_blank">绍兴</a> <a href="/tags/1185/" title="浙江" class="c1" target="_blank">浙江</a>  <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1007/" title="浙江省" class="c1" target="_blank">浙江省</a> <a href="/tags/1090/" title="绍兴" class="c1" target="_blank">绍兴</a> <a href="/tags/1185/" title="浙江" class="c1" target="_blank">浙江</a> 时,对应函数的值即可求解;

2)当 <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1007/" title="浙江省" class="c1" target="_blank">浙江省</a> <a href="/tags/1090/" title="绍兴" class="c1" target="_blank">绍兴</a> <a href="/tags/1185/" title="浙江" class="c1" target="_blank">浙江</a> 时, <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1007/" title="浙江省" class="c1" target="_blank">浙江省</a> <a href="/tags/1090/" title="绍兴" class="c1" target="_blank">绍兴</a> <a href="/tags/1185/" title="浙江" class="c1" target="_blank">浙江</a> ,解得: <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1007/" title="浙江省" class="c1" target="_blank">浙江省</a> <a href="/tags/1090/" title="绍兴" class="c1" target="_blank">绍兴</a> <a href="/tags/1185/" title="浙江" class="c1" target="_blank">浙江</a>  <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1007/" title="浙江省" class="c1" target="_blank">浙江省</a> <a href="/tags/1090/" title="绍兴" class="c1" target="_blank">绍兴</a> <a href="/tags/1185/" title="浙江" class="c1" target="_blank">浙江</a> (舍去 <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1007/" title="浙江省" class="c1" target="_blank">浙江省</a> <a href="/tags/1090/" title="绍兴" class="c1" target="_blank">绍兴</a> <a href="/tags/1185/" title="浙江" class="c1" target="_blank">浙江</a> ,求出 <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1007/" title="浙江省" class="c1" target="_blank">浙江省</a> <a href="/tags/1090/" title="绍兴" class="c1" target="_blank">绍兴</a> <a href="/tags/1185/" title="浙江" class="c1" target="_blank">浙江</a> ,即可求解.

【解答】解:(1)设抛物线的表达式为: <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1007/" title="浙江省" class="c1" target="_blank">浙江省</a> <a href="/tags/1090/" title="绍兴" class="c1" target="_blank">绍兴</a> <a href="/tags/1185/" title="浙江" class="c1" target="_blank">浙江</a>

 <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1007/" title="浙江省" class="c1" target="_blank">浙江省</a> <a href="/tags/1090/" title="绍兴" class="c1" target="_blank">绍兴</a> <a href="/tags/1185/" title="浙江" class="c1" target="_blank">浙江</a>  <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1007/" title="浙江省" class="c1" target="_blank">浙江省</a> <a href="/tags/1090/" title="绍兴" class="c1" target="_blank">绍兴</a> <a href="/tags/1185/" title="浙江" class="c1" target="_blank">浙江</a> 代入上式并解得: <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1007/" title="浙江省" class="c1" target="_blank">浙江省</a> <a href="/tags/1090/" title="绍兴" class="c1" target="_blank">绍兴</a> <a href="/tags/1185/" title="浙江" class="c1" target="_blank">浙江</a>

故抛物线的表达式为: <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1007/" title="浙江省" class="c1" target="_blank">浙江省</a> <a href="/tags/1090/" title="绍兴" class="c1" target="_blank">绍兴</a> <a href="/tags/1185/" title="浙江" class="c1" target="_blank">浙江</a>

 <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1007/" title="浙江省" class="c1" target="_blank">浙江省</a> <a href="/tags/1090/" title="绍兴" class="c1" target="_blank">绍兴</a> <a href="/tags/1185/" title="浙江" class="c1" target="_blank">浙江</a> 时, <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1007/" title="浙江省" class="c1" target="_blank">浙江省</a> <a href="/tags/1090/" title="绍兴" class="c1" target="_blank">绍兴</a> <a href="/tags/1185/" title="浙江" class="c1" target="_blank">浙江</a>

 <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1007/" title="浙江省" class="c1" target="_blank">浙江省</a> <a href="/tags/1090/" title="绍兴" class="c1" target="_blank">绍兴</a> <a href="/tags/1185/" title="浙江" class="c1" target="_blank">浙江</a> 时, <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1007/" title="浙江省" class="c1" target="_blank">浙江省</a> <a href="/tags/1090/" title="绍兴" class="c1" target="_blank">绍兴</a> <a href="/tags/1185/" title="浙江" class="c1" target="_blank">浙江</a>

故这次发球过网,但是出界了;


2)如图,分别过点作底线、边线的平行线 <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1007/" title="浙江省" class="c1" target="_blank">浙江省</a> <a href="/tags/1090/" title="绍兴" class="c1" target="_blank">绍兴</a> <a href="/tags/1185/" title="浙江" class="c1" target="_blank">浙江</a>  <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1007/" title="浙江省" class="c1" target="_blank">浙江省</a> <a href="/tags/1090/" title="绍兴" class="c1" target="_blank">绍兴</a> <a href="/tags/1185/" title="浙江" class="c1" target="_blank">浙江</a> 交于点 <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1007/" title="浙江省" class="c1" target="_blank">浙江省</a> <a href="/tags/1090/" title="绍兴" class="c1" target="_blank">绍兴</a> <a href="/tags/1185/" title="浙江" class="c1" target="_blank">浙江</a>

Shape44

 <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1007/" title="浙江省" class="c1" target="_blank">浙江省</a> <a href="/tags/1090/" title="绍兴" class="c1" target="_blank">绍兴</a> <a href="/tags/1185/" title="浙江" class="c1" target="_blank">浙江</a> 中, <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1007/" title="浙江省" class="c1" target="_blank">浙江省</a> <a href="/tags/1090/" title="绍兴" class="c1" target="_blank">绍兴</a> <a href="/tags/1185/" title="浙江" class="c1" target="_blank">浙江</a>

 <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1007/" title="浙江省" class="c1" target="_blank">浙江省</a> <a href="/tags/1090/" title="绍兴" class="c1" target="_blank">绍兴</a> <a href="/tags/1185/" title="浙江" class="c1" target="_blank">浙江</a> 时, <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1007/" title="浙江省" class="c1" target="_blank">浙江省</a> <a href="/tags/1090/" title="绍兴" class="c1" target="_blank">绍兴</a> <a href="/tags/1185/" title="浙江" class="c1" target="_blank">浙江</a> ,解得: <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1007/" title="浙江省" class="c1" target="_blank">浙江省</a> <a href="/tags/1090/" title="绍兴" class="c1" target="_blank">绍兴</a> <a href="/tags/1185/" title="浙江" class="c1" target="_blank">浙江</a>  <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1007/" title="浙江省" class="c1" target="_blank">浙江省</a> <a href="/tags/1090/" title="绍兴" class="c1" target="_blank">绍兴</a> <a href="/tags/1185/" title="浙江" class="c1" target="_blank">浙江</a> (舍去 <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1007/" title="浙江省" class="c1" target="_blank">浙江省</a> <a href="/tags/1090/" title="绍兴" class="c1" target="_blank">绍兴</a> <a href="/tags/1185/" title="浙江" class="c1" target="_blank">浙江</a>

 <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1007/" title="浙江省" class="c1" target="_blank">浙江省</a> <a href="/tags/1090/" title="绍兴" class="c1" target="_blank">绍兴</a> <a href="/tags/1185/" title="浙江" class="c1" target="_blank">浙江</a> ,而 <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1007/" title="浙江省" class="c1" target="_blank">浙江省</a> <a href="/tags/1090/" title="绍兴" class="c1" target="_blank">绍兴</a> <a href="/tags/1185/" title="浙江" class="c1" target="_blank">浙江</a>

 <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1007/" title="浙江省" class="c1" target="_blank">浙江省</a> <a href="/tags/1090/" title="绍兴" class="c1" target="_blank">绍兴</a> <a href="/tags/1185/" title="浙江" class="c1" target="_blank">浙江</a>

 <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1007/" title="浙江省" class="c1" target="_blank">浙江省</a> <a href="/tags/1090/" title="绍兴" class="c1" target="_blank">绍兴</a> <a href="/tags/1185/" title="浙江" class="c1" target="_blank">浙江</a>

 <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1007/" title="浙江省" class="c1" target="_blank">浙江省</a> <a href="/tags/1090/" title="绍兴" class="c1" target="_blank">绍兴</a> <a href="/tags/1185/" title="浙江" class="c1" target="_blank">浙江</a> 发球点 <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1007/" title="浙江省" class="c1" target="_blank">浙江省</a> <a href="/tags/1090/" title="绍兴" class="c1" target="_blank">绍兴</a> <a href="/tags/1185/" title="浙江" class="c1" target="_blank">浙江</a> 在底线上且距右边线0.1米处.

【点评】本题考查的是二次函数综合运用,关键是弄清楚题意,明确变量的代表的实际意义.

24.(14分)如图1,矩形 <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1007/" title="浙江省" class="c1" target="_blank">浙江省</a> <a href="/tags/1090/" title="绍兴" class="c1" target="_blank">绍兴</a> <a href="/tags/1185/" title="浙江" class="c1" target="_blank">浙江</a> 中, <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1007/" title="浙江省" class="c1" target="_blank">浙江省</a> <a href="/tags/1090/" title="绍兴" class="c1" target="_blank">绍兴</a> <a href="/tags/1185/" title="浙江" class="c1" target="_blank">浙江</a>  <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1007/" title="浙江省" class="c1" target="_blank">浙江省</a> <a href="/tags/1090/" title="绍兴" class="c1" target="_blank">绍兴</a> <a href="/tags/1185/" title="浙江" class="c1" target="_blank">浙江</a>  <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1007/" title="浙江省" class="c1" target="_blank">浙江省</a> <a href="/tags/1090/" title="绍兴" class="c1" target="_blank">绍兴</a> <a href="/tags/1185/" title="浙江" class="c1" target="_blank">浙江</a> 中, <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1007/" title="浙江省" class="c1" target="_blank">浙江省</a> <a href="/tags/1090/" title="绍兴" class="c1" target="_blank">绍兴</a> <a href="/tags/1185/" title="浙江" class="c1" target="_blank">浙江</a>  <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1007/" title="浙江省" class="c1" target="_blank">浙江省</a> <a href="/tags/1090/" title="绍兴" class="c1" target="_blank">绍兴</a> <a href="/tags/1185/" title="浙江" class="c1" target="_blank">浙江</a>  <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1007/" title="浙江省" class="c1" target="_blank">浙江省</a> <a href="/tags/1090/" title="绍兴" class="c1" target="_blank">绍兴</a> <a href="/tags/1185/" title="浙江" class="c1" target="_blank">浙江</a>  <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1007/" title="浙江省" class="c1" target="_blank">浙江省</a> <a href="/tags/1090/" title="绍兴" class="c1" target="_blank">绍兴</a> <a href="/tags/1185/" title="浙江" class="c1" target="_blank">浙江</a> 的延长线相交于点 <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1007/" title="浙江省" class="c1" target="_blank">浙江省</a> <a href="/tags/1090/" title="绍兴" class="c1" target="_blank">绍兴</a> <a href="/tags/1185/" title="浙江" class="c1" target="_blank">浙江</a> ,且 <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1007/" title="浙江省" class="c1" target="_blank">浙江省</a> <a href="/tags/1090/" title="绍兴" class="c1" target="_blank">绍兴</a> <a href="/tags/1185/" title="浙江" class="c1" target="_blank">浙江</a>  <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1007/" title="浙江省" class="c1" target="_blank">浙江省</a> <a href="/tags/1090/" title="绍兴" class="c1" target="_blank">绍兴</a> <a href="/tags/1185/" title="浙江" class="c1" target="_blank">浙江</a>  <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1007/" title="浙江省" class="c1" target="_blank">浙江省</a> <a href="/tags/1090/" title="绍兴" class="c1" target="_blank">绍兴</a> <a href="/tags/1185/" title="浙江" class="c1" target="_blank">浙江</a> .将 <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1007/" title="浙江省" class="c1" target="_blank">浙江省</a> <a href="/tags/1090/" title="绍兴" class="c1" target="_blank">绍兴</a> <a href="/tags/1185/" title="浙江" class="c1" target="_blank">浙江</a> 绕点 <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1007/" title="浙江省" class="c1" target="_blank">浙江省</a> <a href="/tags/1090/" title="绍兴" class="c1" target="_blank">绍兴</a> <a href="/tags/1185/" title="浙江" class="c1" target="_blank">浙江</a> 逆时针旋转 <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1007/" title="浙江省" class="c1" target="_blank">浙江省</a> <a href="/tags/1090/" title="绍兴" class="c1" target="_blank">绍兴</a> <a href="/tags/1185/" title="浙江" class="c1" target="_blank">浙江</a> 得到△ <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1007/" title="浙江省" class="c1" target="_blank">浙江省</a> <a href="/tags/1090/" title="绍兴" class="c1" target="_blank">绍兴</a> <a href="/tags/1185/" title="浙江" class="c1" target="_blank">浙江</a>

1)当 <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1007/" title="浙江省" class="c1" target="_blank">浙江省</a> <a href="/tags/1090/" title="绍兴" class="c1" target="_blank">绍兴</a> <a href="/tags/1185/" title="浙江" class="c1" target="_blank">浙江</a> 时,求点 <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1007/" title="浙江省" class="c1" target="_blank">浙江省</a> <a href="/tags/1090/" title="绍兴" class="c1" target="_blank">绍兴</a> <a href="/tags/1185/" title="浙江" class="c1" target="_blank">浙江</a> 到直线 <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1007/" title="浙江省" class="c1" target="_blank">浙江省</a> <a href="/tags/1090/" title="绍兴" class="c1" target="_blank">绍兴</a> <a href="/tags/1185/" title="浙江" class="c1" target="_blank">浙江</a> 的距离.

2)在图1中,取 <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1007/" title="浙江省" class="c1" target="_blank">浙江省</a> <a href="/tags/1090/" title="绍兴" class="c1" target="_blank">绍兴</a> <a href="/tags/1185/" title="浙江" class="c1" target="_blank">浙江</a> 的中点 <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1007/" title="浙江省" class="c1" target="_blank">浙江省</a> <a href="/tags/1090/" title="绍兴" class="c1" target="_blank">绍兴</a> <a href="/tags/1185/" title="浙江" class="c1" target="_blank">浙江</a> ,连结 <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1007/" title="浙江省" class="c1" target="_blank">浙江省</a> <a href="/tags/1090/" title="绍兴" class="c1" target="_blank">绍兴</a> <a href="/tags/1185/" title="浙江" class="c1" target="_blank">浙江</a> ,如图2

 <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1007/" title="浙江省" class="c1" target="_blank">浙江省</a> <a href="/tags/1090/" title="绍兴" class="c1" target="_blank">绍兴</a> <a href="/tags/1185/" title="浙江" class="c1" target="_blank">浙江</a> 与矩形 <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1007/" title="浙江省" class="c1" target="_blank">浙江省</a> <a href="/tags/1090/" title="绍兴" class="c1" target="_blank">绍兴</a> <a href="/tags/1185/" title="浙江" class="c1" target="_blank">浙江</a> 的一条边平行时,求点 <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1007/" title="浙江省" class="c1" target="_blank">浙江省</a> <a href="/tags/1090/" title="绍兴" class="c1" target="_blank">绍兴</a> <a href="/tags/1185/" title="浙江" class="c1" target="_blank">浙江</a> 到直线 <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1007/" title="浙江省" class="c1" target="_blank">浙江省</a> <a href="/tags/1090/" title="绍兴" class="c1" target="_blank">绍兴</a> <a href="/tags/1185/" title="浙江" class="c1" target="_blank">浙江</a> 的距离.

当线段 <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1007/" title="浙江省" class="c1" target="_blank">浙江省</a> <a href="/tags/1090/" title="绍兴" class="c1" target="_blank">绍兴</a> <a href="/tags/1185/" title="浙江" class="c1" target="_blank">浙江</a> 与矩形 <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1007/" title="浙江省" class="c1" target="_blank">浙江省</a> <a href="/tags/1090/" title="绍兴" class="c1" target="_blank">绍兴</a> <a href="/tags/1185/" title="浙江" class="c1" target="_blank">浙江</a> 的边有且只有一个交点时,求该交点到直线 <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1007/" title="浙江省" class="c1" target="_blank">浙江省</a> <a href="/tags/1090/" title="绍兴" class="c1" target="_blank">绍兴</a> <a href="/tags/1185/" title="浙江" class="c1" target="_blank">浙江</a> 的距离的取值范围.

Shape45

【分析】1)如图1中,过点 <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1007/" title="浙江省" class="c1" target="_blank">浙江省</a> <a href="/tags/1090/" title="绍兴" class="c1" target="_blank">绍兴</a> <a href="/tags/1185/" title="浙江" class="c1" target="_blank">浙江</a>  <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1007/" title="浙江省" class="c1" target="_blank">浙江省</a> <a href="/tags/1090/" title="绍兴" class="c1" target="_blank">绍兴</a> <a href="/tags/1185/" title="浙江" class="c1" target="_blank">浙江</a>  <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1007/" title="浙江省" class="c1" target="_blank">浙江省</a> <a href="/tags/1090/" title="绍兴" class="c1" target="_blank">绍兴</a> <a href="/tags/1185/" title="浙江" class="c1" target="_blank">浙江</a> .解直角三角形求出 <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1007/" title="浙江省" class="c1" target="_blank">浙江省</a> <a href="/tags/1090/" title="绍兴" class="c1" target="_blank">绍兴</a> <a href="/tags/1185/" title="浙江" class="c1" target="_blank">浙江</a> 即可.

2分两种情形:如图2中,当 <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1007/" title="浙江省" class="c1" target="_blank">浙江省</a> <a href="/tags/1090/" title="绍兴" class="c1" target="_blank">绍兴</a> <a href="/tags/1185/" title="浙江" class="c1" target="_blank">浙江</a> 时,过点 <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1007/" title="浙江省" class="c1" target="_blank">浙江省</a> <a href="/tags/1090/" title="绍兴" class="c1" target="_blank">绍兴</a> <a href="/tags/1185/" title="浙江" class="c1" target="_blank">浙江</a>  <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1007/" title="浙江省" class="c1" target="_blank">浙江省</a> <a href="/tags/1090/" title="绍兴" class="c1" target="_blank">绍兴</a> <a href="/tags/1185/" title="浙江" class="c1" target="_blank">浙江</a>  <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1007/" title="浙江省" class="c1" target="_blank">浙江省</a> <a href="/tags/1090/" title="绍兴" class="c1" target="_blank">绍兴</a> <a href="/tags/1185/" title="浙江" class="c1" target="_blank">浙江</a> .如图3中,当 <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1007/" title="浙江省" class="c1" target="_blank">浙江省</a> <a href="/tags/1090/" title="绍兴" class="c1" target="_blank">绍兴</a> <a href="/tags/1185/" title="浙江" class="c1" target="_blank">浙江</a> 时,过点 <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1007/" title="浙江省" class="c1" target="_blank">浙江省</a> <a href="/tags/1090/" title="绍兴" class="c1" target="_blank">绍兴</a> <a href="/tags/1185/" title="浙江" class="c1" target="_blank">浙江</a>  <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1007/" title="浙江省" class="c1" target="_blank">浙江省</a> <a href="/tags/1090/" title="绍兴" class="c1" target="_blank">绍兴</a> <a href="/tags/1185/" title="浙江" class="c1" target="_blank">浙江</a>  <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1007/" title="浙江省" class="c1" target="_blank">浙江省</a> <a href="/tags/1090/" title="绍兴" class="c1" target="_blank">绍兴</a> <a href="/tags/1185/" title="浙江" class="c1" target="_blank">浙江</a> .分别求出 <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1007/" title="浙江省" class="c1" target="_blank">浙江省</a> <a href="/tags/1090/" title="绍兴" class="c1" target="_blank">绍兴</a> <a href="/tags/1185/" title="浙江" class="c1" target="_blank">浙江</a>  <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1007/" title="浙江省" class="c1" target="_blank">浙江省</a> <a href="/tags/1090/" title="绍兴" class="c1" target="_blank">绍兴</a> <a href="/tags/1185/" title="浙江" class="c1" target="_blank">浙江</a> 即可.

 <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1007/" title="浙江省" class="c1" target="_blank">浙江省</a> <a href="/tags/1090/" title="绍兴" class="c1" target="_blank">绍兴</a> <a href="/tags/1185/" title="浙江" class="c1" target="_blank">浙江</a> 为所求的距离.第一种情形:如图4中,当点 <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1007/" title="浙江省" class="c1" target="_blank">浙江省</a> <a href="/tags/1090/" title="绍兴" class="c1" target="_blank">绍兴</a> <a href="/tags/1185/" title="浙江" class="c1" target="_blank">浙江</a> 落在 <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1007/" title="浙江省" class="c1" target="_blank">浙江省</a> <a href="/tags/1090/" title="绍兴" class="c1" target="_blank">绍兴</a> <a href="/tags/1185/" title="浙江" class="c1" target="_blank">浙江</a> 上时,连接 <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1007/" title="浙江省" class="c1" target="_blank">浙江省</a> <a href="/tags/1090/" title="绍兴" class="c1" target="_blank">绍兴</a> <a href="/tags/1185/" title="浙江" class="c1" target="_blank">浙江</a> ,延长 <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1007/" title="浙江省" class="c1" target="_blank">浙江省</a> <a href="/tags/1090/" title="绍兴" class="c1" target="_blank">绍兴</a> <a href="/tags/1185/" title="浙江" class="c1" target="_blank">浙江</a>  <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1007/" title="浙江省" class="c1" target="_blank">浙江省</a> <a href="/tags/1090/" title="绍兴" class="c1" target="_blank">绍兴</a> <a href="/tags/1185/" title="浙江" class="c1" target="_blank">浙江</a>  <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1007/" title="浙江省" class="c1" target="_blank">浙江省</a> <a href="/tags/1090/" title="绍兴" class="c1" target="_blank">绍兴</a> <a href="/tags/1185/" title="浙江" class="c1" target="_blank">浙江</a> .如图5中,当点 <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1007/" title="浙江省" class="c1" target="_blank">浙江省</a> <a href="/tags/1090/" title="绍兴" class="c1" target="_blank">绍兴</a> <a href="/tags/1185/" title="浙江" class="c1" target="_blank">浙江</a> 落在 <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1007/" title="浙江省" class="c1" target="_blank">浙江省</a> <a href="/tags/1090/" title="绍兴" class="c1" target="_blank">绍兴</a> <a href="/tags/1185/" title="浙江" class="c1" target="_blank">浙江</a> 上时,连接 <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1007/" title="浙江省" class="c1" target="_blank">浙江省</a> <a href="/tags/1090/" title="绍兴" class="c1" target="_blank">绍兴</a> <a href="/tags/1185/" title="浙江" class="c1" target="_blank">浙江</a> ,过点 <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1007/" title="浙江省" class="c1" target="_blank">浙江省</a> <a href="/tags/1090/" title="绍兴" class="c1" target="_blank">绍兴</a> <a href="/tags/1185/" title="浙江" class="c1" target="_blank">浙江</a>  <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1007/" title="浙江省" class="c1" target="_blank">浙江省</a> <a href="/tags/1090/" title="绍兴" class="c1" target="_blank">绍兴</a> <a href="/tags/1185/" title="浙江" class="c1" target="_blank">浙江</a>  <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1007/" title="浙江省" class="c1" target="_blank">浙江省</a> <a href="/tags/1090/" title="绍兴" class="c1" target="_blank">绍兴</a> <a href="/tags/1185/" title="浙江" class="c1" target="_blank">浙江</a> .结合图象可得结论.

第二种情形:当 <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1007/" title="浙江省" class="c1" target="_blank">浙江省</a> <a href="/tags/1090/" title="绍兴" class="c1" target="_blank">绍兴</a> <a href="/tags/1185/" title="浙江" class="c1" target="_blank">浙江</a>  <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1007/" title="浙江省" class="c1" target="_blank">浙江省</a> <a href="/tags/1090/" title="绍兴" class="c1" target="_blank">绍兴</a> <a href="/tags/1185/" title="浙江" class="c1" target="_blank">浙江</a> 相交,不与 <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1007/" title="浙江省" class="c1" target="_blank">浙江省</a> <a href="/tags/1090/" title="绍兴" class="c1" target="_blank">绍兴</a> <a href="/tags/1185/" title="浙江" class="c1" target="_blank">浙江</a> 相交时,当点 <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1007/" title="浙江省" class="c1" target="_blank">浙江省</a> <a href="/tags/1090/" title="绍兴" class="c1" target="_blank">绍兴</a> <a href="/tags/1185/" title="浙江" class="c1" target="_blank">浙江</a>  <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1007/" title="浙江省" class="c1" target="_blank">浙江省</a> <a href="/tags/1090/" title="绍兴" class="c1" target="_blank">绍兴</a> <a href="/tags/1185/" title="浙江" class="c1" target="_blank">浙江</a> 上时, <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1007/" title="浙江省" class="c1" target="_blank">浙江省</a> <a href="/tags/1090/" title="绍兴" class="c1" target="_blank">绍兴</a> <a href="/tags/1185/" title="浙江" class="c1" target="_blank">浙江</a> ,即 <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1007/" title="浙江省" class="c1" target="_blank">浙江省</a> <a href="/tags/1090/" title="绍兴" class="c1" target="_blank">绍兴</a> <a href="/tags/1185/" title="浙江" class="c1" target="_blank">浙江</a> ,如图6中,当点 <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1007/" title="浙江省" class="c1" target="_blank">浙江省</a> <a href="/tags/1090/" title="绍兴" class="c1" target="_blank">绍兴</a> <a href="/tags/1185/" title="浙江" class="c1" target="_blank">浙江</a> 落在 <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1007/" title="浙江省" class="c1" target="_blank">浙江省</a> <a href="/tags/1090/" title="绍兴" class="c1" target="_blank">绍兴</a> <a href="/tags/1185/" title="浙江" class="c1" target="_blank">浙江</a> 上时,设 <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1007/" title="浙江省" class="c1" target="_blank">浙江省</a> <a href="/tags/1090/" title="绍兴" class="c1" target="_blank">绍兴</a> <a href="/tags/1185/" title="浙江" class="c1" target="_blank">浙江</a>  <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1007/" title="浙江省" class="c1" target="_blank">浙江省</a> <a href="/tags/1090/" title="绍兴" class="c1" target="_blank">绍兴</a> <a href="/tags/1185/" title="浙江" class="c1" target="_blank">浙江</a>  <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1007/" title="浙江省" class="c1" target="_blank">浙江省</a> <a href="/tags/1090/" title="绍兴" class="c1" target="_blank">绍兴</a> <a href="/tags/1185/" title="浙江" class="c1" target="_blank">浙江</a> ,过点 <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1007/" title="浙江省" class="c1" target="_blank">浙江省</a> <a href="/tags/1090/" title="绍兴" class="c1" target="_blank">绍兴</a> <a href="/tags/1185/" title="浙江" class="c1" target="_blank">浙江</a>  <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1007/" title="浙江省" class="c1" target="_blank">浙江省</a> <a href="/tags/1090/" title="绍兴" class="c1" target="_blank">绍兴</a> <a href="/tags/1185/" title="浙江" class="c1" target="_blank">浙江</a>  <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1007/" title="浙江省" class="c1" target="_blank">浙江省</a> <a href="/tags/1090/" title="绍兴" class="c1" target="_blank">绍兴</a> <a href="/tags/1185/" title="浙江" class="c1" target="_blank">浙江</a> ,过点 <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1007/" title="浙江省" class="c1" target="_blank">浙江省</a> <a href="/tags/1090/" title="绍兴" class="c1" target="_blank">绍兴</a> <a href="/tags/1185/" title="浙江" class="c1" target="_blank">浙江</a>  <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1007/" title="浙江省" class="c1" target="_blank">浙江省</a> <a href="/tags/1090/" title="绍兴" class="c1" target="_blank">绍兴</a> <a href="/tags/1185/" title="浙江" class="c1" target="_blank">浙江</a>  <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1007/" title="浙江省" class="c1" target="_blank">浙江省</a> <a href="/tags/1090/" title="绍兴" class="c1" target="_blank">绍兴</a> <a href="/tags/1185/" title="浙江" class="c1" target="_blank">浙江</a>  <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1007/" title="浙江省" class="c1" target="_blank">浙江省</a> <a href="/tags/1090/" title="绍兴" class="c1" target="_blank">绍兴</a> <a href="/tags/1185/" title="浙江" class="c1" target="_blank">浙江</a> ,连接 <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1007/" title="浙江省" class="c1" target="_blank">浙江省</a> <a href="/tags/1090/" title="绍兴" class="c1" target="_blank">绍兴</a> <a href="/tags/1185/" title="浙江" class="c1" target="_blank">浙江</a> .求出 <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1007/" title="浙江省" class="c1" target="_blank">浙江省</a> <a href="/tags/1090/" title="绍兴" class="c1" target="_blank">绍兴</a> <a href="/tags/1185/" title="浙江" class="c1" target="_blank">浙江</a> 可得结论.

第三种情形:当 <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1007/" title="浙江省" class="c1" target="_blank">浙江省</a> <a href="/tags/1090/" title="绍兴" class="c1" target="_blank">绍兴</a> <a href="/tags/1185/" title="浙江" class="c1" target="_blank">浙江</a> 经过点 <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1007/" title="浙江省" class="c1" target="_blank">浙江省</a> <a href="/tags/1090/" title="绍兴" class="c1" target="_blank">绍兴</a> <a href="/tags/1185/" title="浙江" class="c1" target="_blank">浙江</a> 时,如图7中,显然 <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1007/" title="浙江省" class="c1" target="_blank">浙江省</a> <a href="/tags/1090/" title="绍兴" class="c1" target="_blank">绍兴</a> <a href="/tags/1185/" title="浙江" class="c1" target="_blank">浙江</a> .综上所述可得结论.

【解答】解:(1)如图1中,

Shape46

过点 <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1007/" title="浙江省" class="c1" target="_blank">浙江省</a> <a href="/tags/1090/" title="绍兴" class="c1" target="_blank">绍兴</a> <a href="/tags/1185/" title="浙江" class="c1" target="_blank">浙江</a>  <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1007/" title="浙江省" class="c1" target="_blank">浙江省</a> <a href="/tags/1090/" title="绍兴" class="c1" target="_blank">绍兴</a> <a href="/tags/1185/" title="浙江" class="c1" target="_blank">浙江</a>  <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1007/" title="浙江省" class="c1" target="_blank">浙江省</a> <a href="/tags/1090/" title="绍兴" class="c1" target="_blank">绍兴</a> <a href="/tags/1185/" title="浙江" class="c1" target="_blank">浙江</a>

 <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1007/" title="浙江省" class="c1" target="_blank">浙江省</a> <a href="/tags/1090/" title="绍兴" class="c1" target="_blank">绍兴</a> <a href="/tags/1185/" title="浙江" class="c1" target="_blank">浙江</a>

 <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1007/" title="浙江省" class="c1" target="_blank">浙江省</a> <a href="/tags/1090/" title="绍兴" class="c1" target="_blank">绍兴</a> <a href="/tags/1185/" title="浙江" class="c1" target="_blank">浙江</a>

 <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1007/" title="浙江省" class="c1" target="_blank">浙江省</a> <a href="/tags/1090/" title="绍兴" class="c1" target="_blank">绍兴</a> <a href="/tags/1185/" title="浙江" class="c1" target="_blank">浙江</a>  <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1007/" title="浙江省" class="c1" target="_blank">浙江省</a> <a href="/tags/1090/" title="绍兴" class="c1" target="_blank">绍兴</a> <a href="/tags/1185/" title="浙江" class="c1" target="_blank">浙江</a> 到直线 <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1007/" title="浙江省" class="c1" target="_blank">浙江省</a> <a href="/tags/1090/" title="绍兴" class="c1" target="_blank">绍兴</a> <a href="/tags/1185/" title="浙江" class="c1" target="_blank">浙江</a> 的距离为 <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1007/" title="浙江省" class="c1" target="_blank">浙江省</a> <a href="/tags/1090/" title="绍兴" class="c1" target="_blank">绍兴</a> <a href="/tags/1185/" title="浙江" class="c1" target="_blank">浙江</a>


2如图2中,当 <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1007/" title="浙江省" class="c1" target="_blank">浙江省</a> <a href="/tags/1090/" title="绍兴" class="c1" target="_blank">绍兴</a> <a href="/tags/1185/" title="浙江" class="c1" target="_blank">浙江</a> 时,过点 <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1007/" title="浙江省" class="c1" target="_blank">浙江省</a> <a href="/tags/1090/" title="绍兴" class="c1" target="_blank">绍兴</a> <a href="/tags/1185/" title="浙江" class="c1" target="_blank">浙江</a>  <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1007/" title="浙江省" class="c1" target="_blank">浙江省</a> <a href="/tags/1090/" title="绍兴" class="c1" target="_blank">绍兴</a> <a href="/tags/1185/" title="浙江" class="c1" target="_blank">浙江</a>  <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1007/" title="浙江省" class="c1" target="_blank">浙江省</a> <a href="/tags/1090/" title="绍兴" class="c1" target="_blank">绍兴</a> <a href="/tags/1185/" title="浙江" class="c1" target="_blank">浙江</a>

Shape47

 <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1007/" title="浙江省" class="c1" target="_blank">浙江省</a> <a href="/tags/1090/" title="绍兴" class="c1" target="_blank">绍兴</a> <a href="/tags/1185/" title="浙江" class="c1" target="_blank">浙江</a>

 <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1007/" title="浙江省" class="c1" target="_blank">浙江省</a> <a href="/tags/1090/" title="绍兴" class="c1" target="_blank">绍兴</a> <a href="/tags/1185/" title="浙江" class="c1" target="_blank">浙江</a>

 <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1007/" title="浙江省" class="c1" target="_blank">浙江省</a> <a href="/tags/1090/" title="绍兴" class="c1" target="_blank">绍兴</a> <a href="/tags/1185/" title="浙江" class="c1" target="_blank">浙江</a> <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1007/" title="浙江省" class="c1" target="_blank">浙江省</a> <a href="/tags/1090/" title="绍兴" class="c1" target="_blank">绍兴</a> <a href="/tags/1185/" title="浙江" class="c1" target="_blank">浙江</a> 是等腰直角三角形,

 <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1007/" title="浙江省" class="c1" target="_blank">浙江省</a> <a href="/tags/1090/" title="绍兴" class="c1" target="_blank">绍兴</a> <a href="/tags/1185/" title="浙江" class="c1" target="_blank">浙江</a>

 <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1007/" title="浙江省" class="c1" target="_blank">浙江省</a> <a href="/tags/1090/" title="绍兴" class="c1" target="_blank">绍兴</a> <a href="/tags/1185/" title="浙江" class="c1" target="_blank">浙江</a>

 <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1007/" title="浙江省" class="c1" target="_blank">浙江省</a> <a href="/tags/1090/" title="绍兴" class="c1" target="_blank">绍兴</a> <a href="/tags/1185/" title="浙江" class="c1" target="_blank">浙江</a>  <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1007/" title="浙江省" class="c1" target="_blank">浙江省</a> <a href="/tags/1090/" title="绍兴" class="c1" target="_blank">绍兴</a> <a href="/tags/1185/" title="浙江" class="c1" target="_blank">浙江</a> 到直线 <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1007/" title="浙江省" class="c1" target="_blank">浙江省</a> <a href="/tags/1090/" title="绍兴" class="c1" target="_blank">绍兴</a> <a href="/tags/1185/" title="浙江" class="c1" target="_blank">浙江</a> 的距离为 <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1007/" title="浙江省" class="c1" target="_blank">浙江省</a> <a href="/tags/1090/" title="绍兴" class="c1" target="_blank">绍兴</a> <a href="/tags/1185/" title="浙江" class="c1" target="_blank">浙江</a>

如图3中,当 <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1007/" title="浙江省" class="c1" target="_blank">浙江省</a> <a href="/tags/1090/" title="绍兴" class="c1" target="_blank">绍兴</a> <a href="/tags/1185/" title="浙江" class="c1" target="_blank">浙江</a> 时,过点 <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1007/" title="浙江省" class="c1" target="_blank">浙江省</a> <a href="/tags/1090/" title="绍兴" class="c1" target="_blank">绍兴</a> <a href="/tags/1185/" title="浙江" class="c1" target="_blank">浙江</a>  <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1007/" title="浙江省" class="c1" target="_blank">浙江省</a> <a href="/tags/1090/" title="绍兴" class="c1" target="_blank">绍兴</a> <a href="/tags/1185/" title="浙江" class="c1" target="_blank">浙江</a>  <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1007/" title="浙江省" class="c1" target="_blank">浙江省</a> <a href="/tags/1090/" title="绍兴" class="c1" target="_blank">绍兴</a> <a href="/tags/1185/" title="浙江" class="c1" target="_blank">浙江</a>

Shape48

同法可证△ <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1007/" title="浙江省" class="c1" target="_blank">浙江省</a> <a href="/tags/1090/" title="绍兴" class="c1" target="_blank">绍兴</a> <a href="/tags/1185/" title="浙江" class="c1" target="_blank">浙江</a> 是等腰直角三角形,

 <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1007/" title="浙江省" class="c1" target="_blank">浙江省</a> <a href="/tags/1090/" title="绍兴" class="c1" target="_blank">绍兴</a> <a href="/tags/1185/" title="浙江" class="c1" target="_blank">浙江</a>

 <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1007/" title="浙江省" class="c1" target="_blank">浙江省</a> <a href="/tags/1090/" title="绍兴" class="c1" target="_blank">绍兴</a> <a href="/tags/1185/" title="浙江" class="c1" target="_blank">浙江</a>  <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1007/" title="浙江省" class="c1" target="_blank">浙江省</a> <a href="/tags/1090/" title="绍兴" class="c1" target="_blank">绍兴</a> <a href="/tags/1185/" title="浙江" class="c1" target="_blank">浙江</a> 到直线 <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1007/" title="浙江省" class="c1" target="_blank">浙江省</a> <a href="/tags/1090/" title="绍兴" class="c1" target="_blank">绍兴</a> <a href="/tags/1185/" title="浙江" class="c1" target="_blank">浙江</a> 的距离为 <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1007/" title="浙江省" class="c1" target="_blank">浙江省</a> <a href="/tags/1090/" title="绍兴" class="c1" target="_blank">绍兴</a> <a href="/tags/1185/" title="浙江" class="c1" target="_blank">浙江</a>


 <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1007/" title="浙江省" class="c1" target="_blank">浙江省</a> <a href="/tags/1090/" title="绍兴" class="c1" target="_blank">绍兴</a> <a href="/tags/1185/" title="浙江" class="c1" target="_blank">浙江</a> 为所求的距离.

第一种情形:如图4中,当点 <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1007/" title="浙江省" class="c1" target="_blank">浙江省</a> <a href="/tags/1090/" title="绍兴" class="c1" target="_blank">绍兴</a> <a href="/tags/1185/" title="浙江" class="c1" target="_blank">浙江</a> 落在 <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1007/" title="浙江省" class="c1" target="_blank">浙江省</a> <a href="/tags/1090/" title="绍兴" class="c1" target="_blank">绍兴</a> <a href="/tags/1185/" title="浙江" class="c1" target="_blank">浙江</a> 上时,连接 <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1007/" title="浙江省" class="c1" target="_blank">浙江省</a> <a href="/tags/1090/" title="绍兴" class="c1" target="_blank">绍兴</a> <a href="/tags/1185/" title="浙江" class="c1" target="_blank">浙江</a> ,延长 <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1007/" title="浙江省" class="c1" target="_blank">浙江省</a> <a href="/tags/1090/" title="绍兴" class="c1" target="_blank">绍兴</a> <a href="/tags/1185/" title="浙江" class="c1" target="_blank">浙江</a>  <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1007/" title="浙江省" class="c1" target="_blank">浙江省</a> <a href="/tags/1090/" title="绍兴" class="c1" target="_blank">绍兴</a> <a href="/tags/1185/" title="浙江" class="c1" target="_blank">浙江</a>  <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1007/" title="浙江省" class="c1" target="_blank">浙江省</a> <a href="/tags/1090/" title="绍兴" class="c1" target="_blank">绍兴</a> <a href="/tags/1185/" title="浙江" class="c1" target="_blank">浙江</a>

Shape49

 <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1007/" title="浙江省" class="c1" target="_blank">浙江省</a> <a href="/tags/1090/" title="绍兴" class="c1" target="_blank">绍兴</a> <a href="/tags/1185/" title="浙江" class="c1" target="_blank">浙江</a>  <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1007/" title="浙江省" class="c1" target="_blank">浙江省</a> <a href="/tags/1090/" title="绍兴" class="c1" target="_blank">绍兴</a> <a href="/tags/1185/" title="浙江" class="c1" target="_blank">浙江</a>  <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1007/" title="浙江省" class="c1" target="_blank">浙江省</a> <a href="/tags/1090/" title="绍兴" class="c1" target="_blank">绍兴</a> <a href="/tags/1185/" title="浙江" class="c1" target="_blank">浙江</a>

 <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1007/" title="浙江省" class="c1" target="_blank">浙江省</a> <a href="/tags/1090/" title="绍兴" class="c1" target="_blank">绍兴</a> <a href="/tags/1185/" title="浙江" class="c1" target="_blank">浙江</a>

 <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1007/" title="浙江省" class="c1" target="_blank">浙江省</a> <a href="/tags/1090/" title="绍兴" class="c1" target="_blank">绍兴</a> <a href="/tags/1185/" title="浙江" class="c1" target="_blank">浙江</a> ,即 <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1007/" title="浙江省" class="c1" target="_blank">浙江省</a> <a href="/tags/1090/" title="绍兴" class="c1" target="_blank">绍兴</a> <a href="/tags/1185/" title="浙江" class="c1" target="_blank">浙江</a>

如图5中,当点 <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1007/" title="浙江省" class="c1" target="_blank">浙江省</a> <a href="/tags/1090/" title="绍兴" class="c1" target="_blank">绍兴</a> <a href="/tags/1185/" title="浙江" class="c1" target="_blank">浙江</a> 落在 <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1007/" title="浙江省" class="c1" target="_blank">浙江省</a> <a href="/tags/1090/" title="绍兴" class="c1" target="_blank">绍兴</a> <a href="/tags/1185/" title="浙江" class="c1" target="_blank">浙江</a> 上时,连接 <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1007/" title="浙江省" class="c1" target="_blank">浙江省</a> <a href="/tags/1090/" title="绍兴" class="c1" target="_blank">绍兴</a> <a href="/tags/1185/" title="浙江" class="c1" target="_blank">浙江</a> ,过点 <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1007/" title="浙江省" class="c1" target="_blank">浙江省</a> <a href="/tags/1090/" title="绍兴" class="c1" target="_blank">绍兴</a> <a href="/tags/1185/" title="浙江" class="c1" target="_blank">浙江</a>  <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1007/" title="浙江省" class="c1" target="_blank">浙江省</a> <a href="/tags/1090/" title="绍兴" class="c1" target="_blank">绍兴</a> <a href="/tags/1185/" title="浙江" class="c1" target="_blank">浙江</a>  <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1007/" title="浙江省" class="c1" target="_blank">浙江省</a> <a href="/tags/1090/" title="绍兴" class="c1" target="_blank">绍兴</a> <a href="/tags/1185/" title="浙江" class="c1" target="_blank">浙江</a>

Shape50

 <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1007/" title="浙江省" class="c1" target="_blank">浙江省</a> <a href="/tags/1090/" title="绍兴" class="c1" target="_blank">绍兴</a> <a href="/tags/1185/" title="浙江" class="c1" target="_blank">浙江</a>  <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1007/" title="浙江省" class="c1" target="_blank">浙江省</a> <a href="/tags/1090/" title="绍兴" class="c1" target="_blank">绍兴</a> <a href="/tags/1185/" title="浙江" class="c1" target="_blank">浙江</a>

 <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1007/" title="浙江省" class="c1" target="_blank">浙江省</a> <a href="/tags/1090/" title="绍兴" class="c1" target="_blank">绍兴</a> <a href="/tags/1185/" title="浙江" class="c1" target="_blank">浙江</a>

 <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1007/" title="浙江省" class="c1" target="_blank">浙江省</a> <a href="/tags/1090/" title="绍兴" class="c1" target="_blank">绍兴</a> <a href="/tags/1185/" title="浙江" class="c1" target="_blank">浙江</a>

 <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1007/" title="浙江省" class="c1" target="_blank">浙江省</a> <a href="/tags/1090/" title="绍兴" class="c1" target="_blank">绍兴</a> <a href="/tags/1185/" title="浙江" class="c1" target="_blank">浙江</a>

 <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1007/" title="浙江省" class="c1" target="_blank">浙江省</a> <a href="/tags/1090/" title="绍兴" class="c1" target="_blank">绍兴</a> <a href="/tags/1185/" title="浙江" class="c1" target="_blank">浙江</a>

 <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1007/" title="浙江省" class="c1" target="_blank">浙江省</a> <a href="/tags/1090/" title="绍兴" class="c1" target="_blank">绍兴</a> <a href="/tags/1185/" title="浙江" class="c1" target="_blank">浙江</a>

第二种情形:当 <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1007/" title="浙江省" class="c1" target="_blank">浙江省</a> <a href="/tags/1090/" title="绍兴" class="c1" target="_blank">绍兴</a> <a href="/tags/1185/" title="浙江" class="c1" target="_blank">浙江</a>  <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1007/" title="浙江省" class="c1" target="_blank">浙江省</a> <a href="/tags/1090/" title="绍兴" class="c1" target="_blank">绍兴</a> <a href="/tags/1185/" title="浙江" class="c1" target="_blank">浙江</a> 相交,不与 <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1007/" title="浙江省" class="c1" target="_blank">浙江省</a> <a href="/tags/1090/" title="绍兴" class="c1" target="_blank">绍兴</a> <a href="/tags/1185/" title="浙江" class="c1" target="_blank">浙江</a> 相交时,当点 <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1007/" title="浙江省" class="c1" target="_blank">浙江省</a> <a href="/tags/1090/" title="绍兴" class="c1" target="_blank">绍兴</a> <a href="/tags/1185/" title="浙江" class="c1" target="_blank">浙江</a>  <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1007/" title="浙江省" class="c1" target="_blank">浙江省</a> <a href="/tags/1090/" title="绍兴" class="c1" target="_blank">绍兴</a> <a href="/tags/1185/" title="浙江" class="c1" target="_blank">浙江</a> 上时, <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1007/" title="浙江省" class="c1" target="_blank">浙江省</a> <a href="/tags/1090/" title="绍兴" class="c1" target="_blank">绍兴</a> <a href="/tags/1185/" title="浙江" class="c1" target="_blank">浙江</a> ,即 <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1007/" title="浙江省" class="c1" target="_blank">浙江省</a> <a href="/tags/1090/" title="绍兴" class="c1" target="_blank">绍兴</a> <a href="/tags/1185/" title="浙江" class="c1" target="_blank">浙江</a>

如图6中,当点 <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1007/" title="浙江省" class="c1" target="_blank">浙江省</a> <a href="/tags/1090/" title="绍兴" class="c1" target="_blank">绍兴</a> <a href="/tags/1185/" title="浙江" class="c1" target="_blank">浙江</a> 落在 <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1007/" title="浙江省" class="c1" target="_blank">浙江省</a> <a href="/tags/1090/" title="绍兴" class="c1" target="_blank">绍兴</a> <a href="/tags/1185/" title="浙江" class="c1" target="_blank">浙江</a> 上时,设 <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1007/" title="浙江省" class="c1" target="_blank">浙江省</a> <a href="/tags/1090/" title="绍兴" class="c1" target="_blank">绍兴</a> <a href="/tags/1185/" title="浙江" class="c1" target="_blank">浙江</a>  <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1007/" title="浙江省" class="c1" target="_blank">浙江省</a> <a href="/tags/1090/" title="绍兴" class="c1" target="_blank">绍兴</a> <a href="/tags/1185/" title="浙江" class="c1" target="_blank">浙江</a>  <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1007/" title="浙江省" class="c1" target="_blank">浙江省</a> <a href="/tags/1090/" title="绍兴" class="c1" target="_blank">绍兴</a> <a href="/tags/1185/" title="浙江" class="c1" target="_blank">浙江</a> ,过点 <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1007/" title="浙江省" class="c1" target="_blank">浙江省</a> <a href="/tags/1090/" title="绍兴" class="c1" target="_blank">绍兴</a> <a href="/tags/1185/" title="浙江" class="c1" target="_blank">浙江</a>  <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1007/" title="浙江省" class="c1" target="_blank">浙江省</a> <a href="/tags/1090/" title="绍兴" class="c1" target="_blank">绍兴</a> <a href="/tags/1185/" title="浙江" class="c1" target="_blank">浙江</a>  <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1007/" title="浙江省" class="c1" target="_blank">浙江省</a> <a href="/tags/1090/" title="绍兴" class="c1" target="_blank">绍兴</a> <a href="/tags/1185/" title="浙江" class="c1" target="_blank">浙江</a> ,过点 <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1007/" title="浙江省" class="c1" target="_blank">浙江省</a> <a href="/tags/1090/" title="绍兴" class="c1" target="_blank">绍兴</a> <a href="/tags/1185/" title="浙江" class="c1" target="_blank">浙江</a>  <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1007/" title="浙江省" class="c1" target="_blank">浙江省</a> <a href="/tags/1090/" title="绍兴" class="c1" target="_blank">绍兴</a> <a href="/tags/1185/" title="浙江" class="c1" target="_blank">浙江</a>  <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1007/" title="浙江省" class="c1" target="_blank">浙江省</a> <a href="/tags/1090/" title="绍兴" class="c1" target="_blank">绍兴</a> <a href="/tags/1185/" title="浙江" class="c1" target="_blank">浙江</a>  <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1007/" title="浙江省" class="c1" target="_blank">浙江省</a> <a href="/tags/1090/" title="绍兴" class="c1" target="_blank">绍兴</a> <a href="/tags/1185/" title="浙江" class="c1" target="_blank">浙江</a> ,连接 <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1007/" title="浙江省" class="c1" target="_blank">浙江省</a> <a href="/tags/1090/" title="绍兴" class="c1" target="_blank">绍兴</a> <a href="/tags/1185/" title="浙江" class="c1" target="_blank">浙江</a>

Shape51

 <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1007/" title="浙江省" class="c1" target="_blank">浙江省</a> <a href="/tags/1090/" title="绍兴" class="c1" target="_blank">绍兴</a> <a href="/tags/1185/" title="浙江" class="c1" target="_blank">浙江</a>  <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1007/" title="浙江省" class="c1" target="_blank">浙江省</a> <a href="/tags/1090/" title="绍兴" class="c1" target="_blank">绍兴</a> <a href="/tags/1185/" title="浙江" class="c1" target="_blank">浙江</a>

 <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1007/" title="浙江省" class="c1" target="_blank">浙江省</a> <a href="/tags/1090/" title="绍兴" class="c1" target="_blank">绍兴</a> <a href="/tags/1185/" title="浙江" class="c1" target="_blank">浙江</a>

 <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1007/" title="浙江省" class="c1" target="_blank">浙江省</a> <a href="/tags/1090/" title="绍兴" class="c1" target="_blank">绍兴</a> <a href="/tags/1185/" title="浙江" class="c1" target="_blank">浙江</a>  <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1007/" title="浙江省" class="c1" target="_blank">浙江省</a> <a href="/tags/1090/" title="绍兴" class="c1" target="_blank">绍兴</a> <a href="/tags/1185/" title="浙江" class="c1" target="_blank">浙江</a>  <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1007/" title="浙江省" class="c1" target="_blank">浙江省</a> <a href="/tags/1090/" title="绍兴" class="c1" target="_blank">绍兴</a> <a href="/tags/1185/" title="浙江" class="c1" target="_blank">浙江</a>

 <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1007/" title="浙江省" class="c1" target="_blank">浙江省</a> <a href="/tags/1090/" title="绍兴" class="c1" target="_blank">绍兴</a> <a href="/tags/1185/" title="浙江" class="c1" target="_blank">浙江</a>

 <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1007/" title="浙江省" class="c1" target="_blank">浙江省</a> <a href="/tags/1090/" title="绍兴" class="c1" target="_blank">绍兴</a> <a href="/tags/1185/" title="浙江" class="c1" target="_blank">浙江</a>

 <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1007/" title="浙江省" class="c1" target="_blank">浙江省</a> <a href="/tags/1090/" title="绍兴" class="c1" target="_blank">绍兴</a> <a href="/tags/1185/" title="浙江" class="c1" target="_blank">浙江</a>

 <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1007/" title="浙江省" class="c1" target="_blank">浙江省</a> <a href="/tags/1090/" title="绍兴" class="c1" target="_blank">绍兴</a> <a href="/tags/1185/" title="浙江" class="c1" target="_blank">浙江</a>

 <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1007/" title="浙江省" class="c1" target="_blank">浙江省</a> <a href="/tags/1090/" title="绍兴" class="c1" target="_blank">绍兴</a> <a href="/tags/1185/" title="浙江" class="c1" target="_blank">浙江</a>

 <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1007/" title="浙江省" class="c1" target="_blank">浙江省</a> <a href="/tags/1090/" title="绍兴" class="c1" target="_blank">绍兴</a> <a href="/tags/1185/" title="浙江" class="c1" target="_blank">浙江</a>

 <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1007/" title="浙江省" class="c1" target="_blank">浙江省</a> <a href="/tags/1090/" title="绍兴" class="c1" target="_blank">绍兴</a> <a href="/tags/1185/" title="浙江" class="c1" target="_blank">浙江</a>

 <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1007/" title="浙江省" class="c1" target="_blank">浙江省</a> <a href="/tags/1090/" title="绍兴" class="c1" target="_blank">绍兴</a> <a href="/tags/1185/" title="浙江" class="c1" target="_blank">浙江</a>

 <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1007/" title="浙江省" class="c1" target="_blank">浙江省</a> <a href="/tags/1090/" title="绍兴" class="c1" target="_blank">绍兴</a> <a href="/tags/1185/" title="浙江" class="c1" target="_blank">浙江</a>  <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1007/" title="浙江省" class="c1" target="_blank">浙江省</a> <a href="/tags/1090/" title="绍兴" class="c1" target="_blank">绍兴</a> <a href="/tags/1185/" title="浙江" class="c1" target="_blank">浙江</a>

 <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1007/" title="浙江省" class="c1" target="_blank">浙江省</a> <a href="/tags/1090/" title="绍兴" class="c1" target="_blank">绍兴</a> <a href="/tags/1185/" title="浙江" class="c1" target="_blank">浙江</a> <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1007/" title="浙江省" class="c1" target="_blank">浙江省</a> <a href="/tags/1090/" title="绍兴" class="c1" target="_blank">绍兴</a> <a href="/tags/1185/" title="浙江" class="c1" target="_blank">浙江</a> <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1007/" title="浙江省" class="c1" target="_blank">浙江省</a> <a href="/tags/1090/" title="绍兴" class="c1" target="_blank">绍兴</a> <a href="/tags/1185/" title="浙江" class="c1" target="_blank">浙江</a>

 <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1007/" title="浙江省" class="c1" target="_blank">浙江省</a> <a href="/tags/1090/" title="绍兴" class="c1" target="_blank">绍兴</a> <a href="/tags/1185/" title="浙江" class="c1" target="_blank">浙江</a>  <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1007/" title="浙江省" class="c1" target="_blank">浙江省</a> <a href="/tags/1090/" title="绍兴" class="c1" target="_blank">绍兴</a> <a href="/tags/1185/" title="浙江" class="c1" target="_blank">浙江</a>

 <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1007/" title="浙江省" class="c1" target="_blank">浙江省</a> <a href="/tags/1090/" title="绍兴" class="c1" target="_blank">绍兴</a> <a href="/tags/1185/" title="浙江" class="c1" target="_blank">浙江</a>  <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1007/" title="浙江省" class="c1" target="_blank">浙江省</a> <a href="/tags/1090/" title="绍兴" class="c1" target="_blank">绍兴</a> <a href="/tags/1185/" title="浙江" class="c1" target="_blank">浙江</a>

 <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1007/" title="浙江省" class="c1" target="_blank">浙江省</a> <a href="/tags/1090/" title="绍兴" class="c1" target="_blank">绍兴</a> <a href="/tags/1185/" title="浙江" class="c1" target="_blank">浙江</a>

 <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1007/" title="浙江省" class="c1" target="_blank">浙江省</a> <a href="/tags/1090/" title="绍兴" class="c1" target="_blank">绍兴</a> <a href="/tags/1185/" title="浙江" class="c1" target="_blank">浙江</a> ,即 <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1007/" title="浙江省" class="c1" target="_blank">浙江省</a> <a href="/tags/1090/" title="绍兴" class="c1" target="_blank">绍兴</a> <a href="/tags/1185/" title="浙江" class="c1" target="_blank">浙江</a>

 <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1007/" title="浙江省" class="c1" target="_blank">浙江省</a> <a href="/tags/1090/" title="绍兴" class="c1" target="_blank">绍兴</a> <a href="/tags/1185/" title="浙江" class="c1" target="_blank">浙江</a>

第三种情形:当 <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1007/" title="浙江省" class="c1" target="_blank">浙江省</a> <a href="/tags/1090/" title="绍兴" class="c1" target="_blank">绍兴</a> <a href="/tags/1185/" title="浙江" class="c1" target="_blank">浙江</a> 经过点 <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1007/" title="浙江省" class="c1" target="_blank">浙江省</a> <a href="/tags/1090/" title="绍兴" class="c1" target="_blank">绍兴</a> <a href="/tags/1185/" title="浙江" class="c1" target="_blank">浙江</a> 时,如图7中,显然 <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1007/" title="浙江省" class="c1" target="_blank">浙江省</a> <a href="/tags/1090/" title="绍兴" class="c1" target="_blank">绍兴</a> <a href="/tags/1185/" title="浙江" class="c1" target="_blank">浙江</a>

Shape52

综上所述, <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1007/" title="浙江省" class="c1" target="_blank">浙江省</a> <a href="/tags/1090/" title="绍兴" class="c1" target="_blank">绍兴</a> <a href="/tags/1185/" title="浙江" class="c1" target="_blank">浙江</a>  <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1007/" title="浙江省" class="c1" target="_blank">浙江省</a> <a href="/tags/1090/" title="绍兴" class="c1" target="_blank">绍兴</a> <a href="/tags/1185/" title="浙江" class="c1" target="_blank">浙江</a>

【点评】本题属于四边形综合题,考查了矩形的性质,旋转变换,解直角三角形,全等三角形的判定和性质,相似三角形的判定和性质等知识,解题的关键是学会用分类讨论的思想思考问题,学会利用特殊位置解决数学问题,属于中考压轴题.