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【330375】2020年浙江省衢州市中考数学试卷

时间:2025-02-09 11:12:41 作者: 字数:26628字

2020年浙江省衢州市中考数学试卷

一、选择题(本题共有10小题,每小题3分,共30分)

1.(3分)比01的数是 <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/1114/" title="衢州" class="c1" target="_blank">衢州</a> <a href="/tags/1185/" title="浙江" class="c1" target="_blank">浙江</a>    <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1007/" title="浙江省" class="c1" target="_blank">浙江省</a> <a href="/tags/1114/" title="衢州" class="c1" target="_blank">衢州</a> <a href="/tags/1185/" title="浙江" class="c1" target="_blank">浙江</a>

A0 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/1114/" title="衢州" class="c1" target="_blank">衢州</a> <a href="/tags/1185/" title="浙江" class="c1" target="_blank">浙江</a> C1 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/1114/" title="衢州" class="c1" target="_blank">衢州</a> <a href="/tags/1185/" title="浙江" class="c1" target="_blank">浙江</a>

2.(3分)下列几何体中,俯视图是圆的几何体是 <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/1114/" title="衢州" class="c1" target="_blank">衢州</a> <a href="/tags/1185/" title="浙江" class="c1" target="_blank">浙江</a>    <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1007/" title="浙江省" class="c1" target="_blank">浙江省</a> <a href="/tags/1114/" title="衢州" class="c1" target="_blank">衢州</a> <a href="/tags/1185/" title="浙江" class="c1" target="_blank">浙江</a>

AShape1 BShape2

CShape3 DShape4

3.(3分)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/1114/" title="衢州" class="c1" target="_blank">衢州</a> <a href="/tags/1185/" title="浙江" class="c1" target="_blank">浙江</a> ,正确结果是 <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/1114/" title="衢州" class="c1" target="_blank">衢州</a> <a href="/tags/1185/" title="浙江" class="c1" target="_blank">浙江</a>    <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1007/" title="浙江省" class="c1" target="_blank">浙江省</a> <a href="/tags/1114/" title="衢州" class="c1" target="_blank">衢州</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/1114/" title="衢州" class="c1" target="_blank">衢州</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/1114/" title="衢州" class="c1" target="_blank">衢州</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/1114/" title="衢州" class="c1" target="_blank">衢州</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/1114/" title="衢州" class="c1" target="_blank">衢州</a> <a href="/tags/1185/" title="浙江" class="c1" target="_blank">浙江</a>

4.(3分)如图是一个游戏转盘,自由转动转盘,当转盘停止转动后,指针落在数字“Ⅱ”所示区域内的概率是 <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/1114/" title="衢州" class="c1" target="_blank">衢州</a> <a href="/tags/1185/" title="浙江" class="c1" target="_blank">浙江</a>    <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1007/" title="浙江省" class="c1" target="_blank">浙江省</a> <a href="/tags/1114/" title="衢州" class="c1" target="_blank">衢州</a> <a href="/tags/1185/" title="浙江" class="c1" target="_blank">浙江</a>

Shape5

A <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1007/" title="浙江省" class="c1" target="_blank">浙江省</a> <a href="/tags/1114/" title="衢州" class="c1" target="_blank">衢州</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/1114/" title="衢州" class="c1" target="_blank">衢州</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/1114/" title="衢州" class="c1" target="_blank">衢州</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/1114/" title="衢州" class="c1" target="_blank">衢州</a> <a href="/tags/1185/" title="浙江" class="c1" target="_blank">浙江</a>

5.(3分)要使二次根式 <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/1114/" title="衢州" class="c1" target="_blank">衢州</a> <a href="/tags/1185/" title="浙江" class="c1" target="_blank">浙江</a> 有意义,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/1114/" title="衢州" class="c1" target="_blank">衢州</a> <a href="/tags/1185/" title="浙江" class="c1" target="_blank">浙江</a> 的值可以为 <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/1114/" title="衢州" class="c1" target="_blank">衢州</a> <a href="/tags/1185/" title="浙江" class="c1" target="_blank">浙江</a>    <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1007/" title="浙江省" class="c1" target="_blank">浙江省</a> <a href="/tags/1114/" title="衢州" class="c1" target="_blank">衢州</a> <a href="/tags/1185/" title="浙江" class="c1" target="_blank">浙江</a>

A0 B1 C2 D4

6.(3分)不等式组 <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/1114/" title="衢州" class="c1" target="_blank">衢州</a> <a href="/tags/1185/" title="浙江" class="c1" target="_blank">浙江</a> 的解集在数轴上表示正确的是 <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/1114/" title="衢州" class="c1" target="_blank">衢州</a> <a href="/tags/1185/" title="浙江" class="c1" target="_blank">浙江</a>    <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1007/" title="浙江省" class="c1" target="_blank">浙江省</a> <a href="/tags/1114/" title="衢州" class="c1" target="_blank">衢州</a> <a href="/tags/1185/" title="浙江" class="c1" target="_blank">浙江</a>

AShape6

BShape7

CShape8

DShape9

7.(3分)某厂家2020 <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1007/" title="浙江省" class="c1" target="_blank">浙江省</a> <a href="/tags/1114/" title="衢州" class="c1" target="_blank">衢州</a> <a href="/tags/1185/" title="浙江" class="c1" target="_blank">浙江</a> 月份的口罩产量统计如图所示.设从2月份到4月份,该厂家口罩产量的平均月增长率为 <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/1114/" title="衢州" class="c1" target="_blank">衢州</a> <a href="/tags/1185/" title="浙江" class="c1" target="_blank">浙江</a> ,根据题意可得方程 <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1007/" title="浙江省" class="c1" target="_blank">浙江省</a> <a href="/tags/1114/" title="衢州" class="c1" target="_blank">衢州</a> <a href="/tags/1185/" title="浙江" class="c1" target="_blank">浙江</a>    <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1007/" title="浙江省" class="c1" target="_blank">浙江省</a> <a href="/tags/1114/" title="衢州" class="c1" target="_blank">衢州</a> <a href="/tags/1185/" title="浙江" class="c1" target="_blank">浙江</a>

Shape10

A <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1007/" title="浙江省" class="c1" target="_blank">浙江省</a> <a href="/tags/1114/" title="衢州" class="c1" target="_blank">衢州</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/1114/" title="衢州" class="c1" target="_blank">衢州</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/1114/" title="衢州" class="c1" target="_blank">衢州</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/1114/" title="衢州" class="c1" target="_blank">衢州</a> <a href="/tags/1185/" title="浙江" class="c1" target="_blank">浙江</a>

8.(3分)过直线 <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/1114/" title="衢州" class="c1" target="_blank">衢州</a> <a href="/tags/1185/" title="浙江" class="c1" target="_blank">浙江</a> 外一点 <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/1114/" title="衢州" class="c1" target="_blank">衢州</a> <a href="/tags/1185/" title="浙江" class="c1" target="_blank">浙江</a> 作直线 <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/1114/" title="衢州" class="c1" target="_blank">衢州</a> <a href="/tags/1185/" title="浙江" class="c1" target="_blank">浙江</a> 的平行线,下列尺规作图中错误的是 <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/1114/" title="衢州" class="c1" target="_blank">衢州</a> <a href="/tags/1185/" title="浙江" class="c1" target="_blank">浙江</a>    <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1007/" title="浙江省" class="c1" target="_blank">浙江省</a> <a href="/tags/1114/" title="衢州" class="c1" target="_blank">衢州</a> <a href="/tags/1185/" title="浙江" class="c1" target="_blank">浙江</a>

AShape11 BShape12

CShape13 DShape14

9.(3分)二次函数 <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/1114/" title="衢州" class="c1" target="_blank">衢州</a> <a href="/tags/1185/" title="浙江" class="c1" target="_blank">浙江</a> 的图象平移后经过点 <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/1114/" title="衢州" class="c1" target="_blank">衢州</a> <a href="/tags/1185/" title="浙江" class="c1" target="_blank">浙江</a> ,则下列平移方法正确的是 <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/1114/" title="衢州" class="c1" target="_blank">衢州</a> <a href="/tags/1185/" title="浙江" class="c1" target="_blank">浙江</a>    <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1007/" title="浙江省" class="c1" target="_blank">浙江省</a> <a href="/tags/1114/" title="衢州" class="c1" target="_blank">衢州</a> <a href="/tags/1185/" title="浙江" class="c1" target="_blank">浙江</a>

A.向左平移2个单位,向下平移2个单位

B.向左平移1个单位,向上平移2个单位

C.向右平移1个单位,向下平移1个单位

D.向右平移2个单位,向上平移1个单位

10.(3分)如图,把一张矩形纸片 <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1007/" title="浙江省" class="c1" target="_blank">浙江省</a> <a href="/tags/1114/" title="衢州" class="c1" target="_blank">衢州</a> <a href="/tags/1185/" title="浙江" class="c1" target="_blank">浙江</a> 按所示方法进行两次折叠,得到等腰直角三角形 <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/1114/" title="衢州" class="c1" target="_blank">衢州</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/1114/" title="衢州" class="c1" target="_blank">衢州</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/1114/" title="衢州" class="c1" target="_blank">衢州</a> <a href="/tags/1185/" title="浙江" class="c1" target="_blank">浙江</a> 的长度为 <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/1114/" title="衢州" class="c1" target="_blank">衢州</a> <a href="/tags/1185/" title="浙江" class="c1" target="_blank">浙江</a>    <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1007/" title="浙江省" class="c1" target="_blank">浙江省</a> <a href="/tags/1114/" title="衢州" class="c1" target="_blank">衢州</a> <a href="/tags/1185/" title="浙江" class="c1" target="_blank">浙江</a>

Shape15

A <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1007/" title="浙江省" class="c1" target="_blank">浙江省</a> <a href="/tags/1114/" title="衢州" class="c1" target="_blank">衢州</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/1114/" title="衢州" class="c1" target="_blank">衢州</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/1114/" title="衢州" class="c1" target="_blank">衢州</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/1114/" title="衢州" class="c1" target="_blank">衢州</a> <a href="/tags/1185/" title="浙江" class="c1" target="_blank">浙江</a>

二、填空题(本题共有6小题,每小题4分,共24分)

11.(4分)一元一次方程 <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1007/" title="浙江省" class="c1" target="_blank">浙江省</a> <a href="/tags/1114/" title="衢州" class="c1" target="_blank">衢州</a> <a href="/tags/1185/" title="浙江" class="c1" target="_blank">浙江</a> 的解是 <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/1114/" title="衢州" class="c1" target="_blank">衢州</a> <a href="/tags/1185/" title="浙江" class="c1" target="_blank">浙江</a>   

12.(4分)定义 <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1007/" title="浙江省" class="c1" target="_blank">浙江省</a> <a href="/tags/1114/" title="衢州" class="c1" target="_blank">衢州</a> <a href="/tags/1185/" title="浙江" class="c1" target="_blank">浙江</a>  <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1007/" title="浙江省" class="c1" target="_blank">浙江省</a> <a href="/tags/1114/" title="衢州" class="c1" target="_blank">衢州</a> <a href="/tags/1185/" title="浙江" class="c1" target="_blank">浙江</a> ,例如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/1114/" title="衢州" class="c1" target="_blank">衢州</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/1114/" title="衢州" class="c1" target="_blank">衢州</a> <a href="/tags/1185/" title="浙江" class="c1" target="_blank">浙江</a>  <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1007/" title="浙江省" class="c1" target="_blank">浙江省</a> <a href="/tags/1114/" title="衢州" class="c1" target="_blank">衢州</a> <a href="/tags/1185/" title="浙江" class="c1" target="_blank">浙江</a> 的结果为  

13.(4分)某班五个兴趣小组的人数分别为445 <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1007/" title="浙江省" class="c1" target="_blank">浙江省</a> <a href="/tags/1114/" title="衢州" class="c1" target="_blank">衢州</a> <a href="/tags/1185/" title="浙江" class="c1" target="_blank">浙江</a> 6.已知这组数据的平均数是5,则这组数据的中位数是  

14.(4分)小慧用图1中的一副七巧板拼出如图2所示的“行礼图”,已知正方形 <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/1114/" title="衢州" class="c1" target="_blank">衢州</a> <a href="/tags/1185/" title="浙江" class="c1" target="_blank">浙江</a> 的边长为 <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/1114/" title="衢州" class="c1" target="_blank">衢州</a> <a href="/tags/1185/" title="浙江" class="c1" target="_blank">浙江</a> ,则图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/1114/" title="衢州" class="c1" target="_blank">衢州</a> <a href="/tags/1185/" title="浙江" class="c1" target="_blank">浙江</a> 的值为   <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/1114/" title="衢州" class="c1" target="_blank">衢州</a> <a href="/tags/1185/" title="浙江" class="c1" target="_blank">浙江</a>

Shape16

15.(4分)如图,将一把矩形直尺 <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1007/" title="浙江省" class="c1" target="_blank">浙江省</a> <a href="/tags/1114/" title="衢州" class="c1" target="_blank">衢州</a> <a href="/tags/1185/" title="浙江" class="c1" target="_blank">浙江</a> 和一块含 <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1007/" title="浙江省" class="c1" target="_blank">浙江省</a> <a href="/tags/1114/" title="衢州" class="c1" target="_blank">衢州</a> <a href="/tags/1185/" title="浙江" class="c1" target="_blank">浙江</a> 角的三角板 <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1007/" title="浙江省" class="c1" target="_blank">浙江省</a> <a href="/tags/1114/" title="衢州" class="c1" target="_blank">衢州</a> <a href="/tags/1185/" title="浙江" class="c1" target="_blank">浙江</a> 摆放在平面直角坐标系中, <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/1114/" title="衢州" class="c1" target="_blank">衢州</a> <a href="/tags/1185/" title="浙江" class="c1" target="_blank">浙江</a>  <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1007/" title="浙江省" class="c1" target="_blank">浙江省</a> <a href="/tags/1114/" title="衢州" class="c1" target="_blank">衢州</a> <a href="/tags/1185/" title="浙江" class="c1" target="_blank">浙江</a> 轴上,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/1114/" title="衢州" class="c1" target="_blank">衢州</a> <a href="/tags/1185/" title="浙江" class="c1" target="_blank">浙江</a> 与点 <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/1114/" title="衢州" class="c1" target="_blank">衢州</a> <a href="/tags/1185/" title="浙江" class="c1" target="_blank">浙江</a> 重合,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/1114/" title="衢州" class="c1" target="_blank">衢州</a> <a href="/tags/1185/" title="浙江" class="c1" target="_blank">浙江</a>  <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1007/" title="浙江省" class="c1" target="_blank">浙江省</a> <a href="/tags/1114/" title="衢州" class="c1" target="_blank">衢州</a> <a href="/tags/1185/" title="浙江" class="c1" target="_blank">浙江</a> 上,三角板的直角边 <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/1114/" title="衢州" class="c1" target="_blank">衢州</a> <a href="/tags/1185/" title="浙江" class="c1" target="_blank">浙江</a>  <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1007/" title="浙江省" class="c1" target="_blank">浙江省</a> <a href="/tags/1114/" title="衢州" class="c1" target="_blank">衢州</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/1114/" title="衢州" class="c1" target="_blank">衢州</a> <a href="/tags/1185/" title="浙江" class="c1" target="_blank">浙江</a> ,反比例函数 <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/1114/" title="衢州" class="c1" target="_blank">衢州</a> <a href="/tags/1185/" title="浙江" class="c1" target="_blank">浙江</a> 的图象恰好经过点 <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/1114/" title="衢州" class="c1" target="_blank">衢州</a> <a href="/tags/1185/" title="浙江" class="c1" target="_blank">浙江</a>  <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1007/" title="浙江省" class="c1" target="_blank">浙江省</a> <a href="/tags/1114/" title="衢州" class="c1" target="_blank">衢州</a> <a href="/tags/1185/" title="浙江" class="c1" target="_blank">浙江</a> .若直尺的宽 <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/1114/" title="衢州" class="c1" target="_blank">衢州</a> <a href="/tags/1185/" title="浙江" class="c1" target="_blank">浙江</a> ,三角板的斜边 <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/1114/" title="衢州" class="c1" target="_blank">衢州</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/1114/" title="衢州" class="c1" target="_blank">衢州</a> <a href="/tags/1185/" title="浙江" class="c1" target="_blank">浙江</a>   

Shape17

16.(4分)图1是由七根连杆链接而成的机械装置,图2是其示意图.已知 <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/1114/" title="衢州" class="c1" target="_blank">衢州</a> <a href="/tags/1185/" title="浙江" class="c1" target="_blank">浙江</a>  <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1007/" title="浙江省" class="c1" target="_blank">浙江省</a> <a href="/tags/1114/" title="衢州" class="c1" target="_blank">衢州</a> <a href="/tags/1185/" title="浙江" class="c1" target="_blank">浙江</a> 两点固定,连杆 <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1007/" title="浙江省" class="c1" target="_blank">浙江省</a> <a href="/tags/1114/" title="衢州" class="c1" target="_blank">衢州</a> <a href="/tags/1185/" title="浙江" class="c1" target="_blank">浙江</a>  <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1007/" title="浙江省" class="c1" target="_blank">浙江省</a> <a href="/tags/1114/" title="衢州" class="c1" target="_blank">衢州</a> <a href="/tags/1185/" title="浙江" class="c1" target="_blank">浙江</a>  <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1007/" title="浙江省" class="c1" target="_blank">浙江省</a> <a href="/tags/1114/" title="衢州" class="c1" target="_blank">衢州</a> <a href="/tags/1185/" title="浙江" class="c1" target="_blank">浙江</a>  <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1007/" title="浙江省" class="c1" target="_blank">浙江省</a> <a href="/tags/1114/" title="衢州" class="c1" target="_blank">衢州</a> <a href="/tags/1185/" title="浙江" class="c1" target="_blank">浙江</a>  <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1007/" title="浙江省" class="c1" target="_blank">浙江省</a> <a href="/tags/1114/" title="衢州" class="c1" target="_blank">衢州</a> <a href="/tags/1185/" title="浙江" class="c1" target="_blank">浙江</a> 两点间距与 <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/1114/" title="衢州" class="c1" target="_blank">衢州</a> <a href="/tags/1185/" title="浙江" class="c1" target="_blank">浙江</a> 长度相等.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/1114/" title="衢州" class="c1" target="_blank">衢州</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/1114/" title="衢州" class="c1" target="_blank">衢州</a> <a href="/tags/1185/" title="浙江" class="c1" target="_blank">浙江</a> 转动时,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/1114/" title="衢州" class="c1" target="_blank">衢州</a> <a href="/tags/1185/" title="浙江" class="c1" target="_blank">浙江</a>  <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1007/" title="浙江省" class="c1" target="_blank">浙江省</a> <a href="/tags/1114/" title="衢州" class="c1" target="_blank">衢州</a> <a href="/tags/1185/" title="浙江" class="c1" target="_blank">浙江</a>  <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1007/" title="浙江省" class="c1" target="_blank">浙江省</a> <a href="/tags/1114/" title="衢州" class="c1" target="_blank">衢州</a> <a href="/tags/1185/" title="浙江" class="c1" target="_blank">浙江</a> 的位置随之改变,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/1114/" title="衢州" class="c1" target="_blank">衢州</a> <a href="/tags/1185/" title="浙江" class="c1" target="_blank">浙江</a> 恰好在线段 <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/1114/" title="衢州" class="c1" target="_blank">衢州</a> <a href="/tags/1185/" title="浙江" class="c1" target="_blank">浙江</a> 上来回运动.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/1114/" title="衢州" class="c1" target="_blank">衢州</a> <a href="/tags/1185/" title="浙江" class="c1" target="_blank">浙江</a> 运动至点 <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/1114/" title="衢州" class="c1" target="_blank">衢州</a> <a href="/tags/1185/" title="浙江" class="c1" target="_blank">浙江</a>  <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1007/" title="浙江省" class="c1" target="_blank">浙江省</a> <a href="/tags/1114/" title="衢州" class="c1" target="_blank">衢州</a> <a href="/tags/1185/" title="浙江" class="c1" target="_blank">浙江</a> 时,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/1114/" title="衢州" class="c1" target="_blank">衢州</a> <a href="/tags/1185/" title="浙江" class="c1" target="_blank">浙江</a>  <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1007/" title="浙江省" class="c1" target="_blank">浙江省</a> <a href="/tags/1114/" title="衢州" class="c1" target="_blank">衢州</a> <a href="/tags/1185/" title="浙江" class="c1" target="_blank">浙江</a> 重合,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/1114/" title="衢州" class="c1" target="_blank">衢州</a> <a href="/tags/1185/" title="浙江" class="c1" target="_blank">浙江</a>  <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1007/" title="浙江省" class="c1" target="_blank">浙江省</a> <a href="/tags/1114/" title="衢州" class="c1" target="_blank">衢州</a> <a href="/tags/1185/" title="浙江" class="c1" target="_blank">浙江</a>  <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1007/" title="浙江省" class="c1" target="_blank">浙江省</a> <a href="/tags/1114/" title="衢州" class="c1" target="_blank">衢州</a> <a href="/tags/1185/" title="浙江" class="c1" target="_blank">浙江</a>  <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1007/" title="浙江省" class="c1" target="_blank">浙江省</a> <a href="/tags/1114/" title="衢州" class="c1" target="_blank">衢州</a> <a href="/tags/1185/" title="浙江" class="c1" target="_blank">浙江</a> 在同一直线上(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/1114/" title="衢州" class="c1" target="_blank">衢州</a> <a href="/tags/1185/" title="浙江" class="c1" target="_blank">浙江</a>

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/1114/" title="衢州" class="c1" target="_blank">衢州</a> <a href="/tags/1185/" title="浙江" class="c1" target="_blank">浙江</a>  <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1007/" title="浙江省" class="c1" target="_blank">浙江省</a> <a href="/tags/1114/" title="衢州" class="c1" target="_blank">衢州</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/1114/" title="衢州" class="c1" target="_blank">衢州</a> <a href="/tags/1185/" title="浙江" class="c1" target="_blank">浙江</a>

2)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/1114/" title="衢州" class="c1" target="_blank">衢州</a> <a href="/tags/1185/" title="浙江" class="c1" target="_blank">浙江</a>  <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1007/" title="浙江省" class="c1" target="_blank">浙江省</a> <a href="/tags/1114/" title="衢州" class="c1" target="_blank">衢州</a> <a href="/tags/1185/" title="浙江" class="c1" target="_blank">浙江</a>  <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1007/" title="浙江省" class="c1" target="_blank">浙江省</a> <a href="/tags/1114/" title="衢州" class="c1" target="_blank">衢州</a> <a href="/tags/1185/" title="浙江" class="c1" target="_blank">浙江</a> 在同一直线上时,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/1114/" title="衢州" class="c1" target="_blank">衢州</a> <a href="/tags/1185/" title="浙江" class="c1" target="_blank">浙江</a>  <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1007/" title="浙江省" class="c1" target="_blank">浙江省</a> <a href="/tags/1114/" title="衢州" class="c1" target="_blank">衢州</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/1114/" title="衢州" class="c1" target="_blank">衢州</a> <a href="/tags/1185/" title="浙江" class="c1" target="_blank">浙江</a>

Shape18

三、解答题(本题共有8小题,第1719小题每小题6分,第2021小题每小题6分,第2223小题每小题6分,第24小题12分,共66分.请务必写出解答过程)

17.(6分)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/1114/" title="衢州" class="c1" target="_blank">衢州</a> <a href="/tags/1185/" title="浙江" class="c1" target="_blank">浙江</a>

18.(6分)先化简,再求值: <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1007/" title="浙江省" class="c1" target="_blank">浙江省</a> <a href="/tags/1114/" title="衢州" class="c1" target="_blank">衢州</a> <a href="/tags/1185/" title="浙江" class="c1" target="_blank">浙江</a> ,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/1114/" title="衢州" class="c1" target="_blank">衢州</a> <a href="/tags/1185/" title="浙江" class="c1" target="_blank">浙江</a>

19.(6分)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/1114/" title="衢州" class="c1" target="_blank">衢州</a> <a href="/tags/1185/" title="浙江" class="c1" target="_blank">浙江</a> 的网格中, <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/1114/" title="衢州" class="c1" target="_blank">衢州</a> <a href="/tags/1185/" title="浙江" class="c1" target="_blank">浙江</a> 的三个顶点都在格点上.

1)在图1中画出一个以 <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1007/" title="浙江省" class="c1" target="_blank">浙江省</a> <a href="/tags/1114/" title="衢州" class="c1" target="_blank">衢州</a> <a href="/tags/1185/" title="浙江" class="c1" target="_blank">浙江</a> 为边的 <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/1114/" title="衢州" class="c1" target="_blank">衢州</a> <a href="/tags/1185/" title="浙江" class="c1" target="_blank">浙江</a> ,使顶点 <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/1114/" title="衢州" class="c1" target="_blank">衢州</a> <a href="/tags/1185/" title="浙江" class="c1" target="_blank">浙江</a>  <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1007/" title="浙江省" class="c1" target="_blank">浙江省</a> <a href="/tags/1114/" title="衢州" class="c1" target="_blank">衢州</a> <a href="/tags/1185/" title="浙江" class="c1" target="_blank">浙江</a> 在格点上.

2)在图2中画出一条恰好平分 <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/1114/" title="衢州" class="c1" target="_blank">衢州</a> <a href="/tags/1185/" title="浙江" class="c1" target="_blank">浙江</a> 周长的直线 <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/1114/" title="衢州" class="c1" target="_blank">衢州</a> <a href="/tags/1185/" title="浙江" class="c1" target="_blank">浙江</a> (至少经过两个格点).

Shape19

20.(8分)某市在九年级“线上教学”结束后,为了解学生的视力情况,抽查了部分学生进行视力检测.根据检测结果,制成下面不完整的统计图表.

被抽样的学生视力情况频数表

组别

视力段

频数

 <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/1114/" title="衢州" class="c1" target="_blank">衢州</a> <a href="/tags/1185/" title="浙江" class="c1" target="_blank">浙江</a>

 <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1007/" title="浙江省" class="c1" target="_blank">浙江省</a> <a href="/tags/1114/" title="衢州" class="c1" target="_blank">衢州</a> <a href="/tags/1185/" title="浙江" class="c1" target="_blank">浙江</a>

25

 <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1007/" title="浙江省" class="c1" target="_blank">浙江省</a> <a href="/tags/1114/" title="衢州" class="c1" target="_blank">衢州</a> <a href="/tags/1185/" title="浙江" class="c1" target="_blank">浙江</a>

 <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1007/" title="浙江省" class="c1" target="_blank">浙江省</a> <a href="/tags/1114/" title="衢州" class="c1" target="_blank">衢州</a> <a href="/tags/1185/" title="浙江" class="c1" target="_blank">浙江</a>

115

 <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1007/" title="浙江省" class="c1" target="_blank">浙江省</a> <a href="/tags/1114/" title="衢州" class="c1" target="_blank">衢州</a> <a href="/tags/1185/" title="浙江" class="c1" target="_blank">浙江</a>

 <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1007/" title="浙江省" class="c1" target="_blank">浙江省</a> <a href="/tags/1114/" title="衢州" class="c1" target="_blank">衢州</a> <a href="/tags/1185/" title="浙江" class="c1" target="_blank">浙江</a>

 <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1007/" title="浙江省" class="c1" target="_blank">浙江省</a> <a href="/tags/1114/" title="衢州" class="c1" target="_blank">衢州</a> <a href="/tags/1185/" title="浙江" class="c1" target="_blank">浙江</a>

 <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1007/" title="浙江省" class="c1" target="_blank">浙江省</a> <a href="/tags/1114/" title="衢州" class="c1" target="_blank">衢州</a> <a href="/tags/1185/" title="浙江" class="c1" target="_blank">浙江</a>

 <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1007/" title="浙江省" class="c1" target="_blank">浙江省</a> <a href="/tags/1114/" title="衢州" class="c1" target="_blank">衢州</a> <a href="/tags/1185/" title="浙江" class="c1" target="_blank">浙江</a>

52

1)求组别 <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1007/" title="浙江省" class="c1" target="_blank">浙江省</a> <a href="/tags/1114/" title="衢州" class="c1" target="_blank">衢州</a> <a href="/tags/1185/" title="浙江" class="c1" target="_blank">浙江</a> 的频数 <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/1114/" title="衢州" class="c1" target="_blank">衢州</a> <a href="/tags/1185/" title="浙江" class="c1" target="_blank">浙江</a> 的值.

2)求组别 <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1007/" title="浙江省" class="c1" target="_blank">浙江省</a> <a href="/tags/1114/" title="衢州" class="c1" target="_blank">衢州</a> <a href="/tags/1185/" title="浙江" class="c1" target="_blank">浙江</a> 的圆心角度数.

3)如果视力值4.8及以上属于“视力良好”,请估计该市25000名九年级学生达到“视力良好”的人数.根据上述图表信息,你对视力保护有什么建议?

Shape20

21.(8分)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/1114/" title="衢州" class="c1" target="_blank">衢州</a> <a href="/tags/1185/" title="浙江" class="c1" target="_blank">浙江</a> 内接于 <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/1114/" title="衢州" class="c1" target="_blank">衢州</a> <a href="/tags/1185/" title="浙江" class="c1" target="_blank">浙江</a>  <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1007/" title="浙江省" class="c1" target="_blank">浙江省</a> <a href="/tags/1114/" title="衢州" class="c1" target="_blank">衢州</a> <a href="/tags/1185/" title="浙江" class="c1" target="_blank">浙江</a>  <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1007/" title="浙江省" class="c1" target="_blank">浙江省</a> <a href="/tags/1114/" title="衢州" class="c1" target="_blank">衢州</a> <a href="/tags/1185/" title="浙江" class="c1" target="_blank">浙江</a> 的直径, <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1007/" title="浙江省" class="c1" target="_blank">浙江省</a> <a href="/tags/1114/" title="衢州" class="c1" target="_blank">衢州</a> <a href="/tags/1185/" title="浙江" class="c1" target="_blank">浙江</a>  <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1007/" title="浙江省" class="c1" target="_blank">浙江省</a> <a href="/tags/1114/" title="衢州" class="c1" target="_blank">衢州</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/1114/" title="衢州" class="c1" target="_blank">衢州</a> <a href="/tags/1185/" title="浙江" class="c1" target="_blank">浙江</a> ,弦 <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1007/" title="浙江省" class="c1" target="_blank">浙江省</a> <a href="/tags/1114/" title="衢州" class="c1" target="_blank">衢州</a> <a href="/tags/1185/" title="浙江" class="c1" target="_blank">浙江</a> 分别交 <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/1114/" title="衢州" class="c1" target="_blank">衢州</a> <a href="/tags/1185/" title="浙江" class="c1" target="_blank">浙江</a>  <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1007/" title="浙江省" class="c1" target="_blank">浙江省</a> <a href="/tags/1114/" title="衢州" class="c1" target="_blank">衢州</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/1114/" title="衢州" class="c1" target="_blank">衢州</a> <a href="/tags/1185/" title="浙江" class="c1" target="_blank">浙江</a>  <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1007/" title="浙江省" class="c1" target="_blank">浙江省</a> <a href="/tags/1114/" title="衢州" class="c1" target="_blank">衢州</a> <a href="/tags/1185/" title="浙江" class="c1" target="_blank">浙江</a> ,其中点 <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/1114/" title="衢州" class="c1" target="_blank">衢州</a> <a href="/tags/1185/" title="浙江" class="c1" target="_blank">浙江</a>  <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1007/" title="浙江省" class="c1" target="_blank">浙江省</a> <a href="/tags/1114/" title="衢州" class="c1" target="_blank">衢州</a> <a href="/tags/1185/" title="浙江" class="c1" target="_blank">浙江</a> 的中点.

1)求证: <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/1114/" title="衢州" class="c1" target="_blank">衢州</a> <a href="/tags/1185/" title="浙江" class="c1" target="_blank">浙江</a>

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/1114/" title="衢州" class="c1" target="_blank">衢州</a> <a href="/tags/1185/" title="浙江" class="c1" target="_blank">浙江</a> 的长.

Shape21

22.(10分)2020516日,“钱塘江诗路”航道全线开通.一艘游轮从杭州出发前往衢州,线路如图1所示.当游轮到达建德境内的“七里扬帆”景点时,一艘货轮沿着同样的线路从杭州出发前往衢州.已知游轮的速度为 <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/1114/" title="衢州" class="c1" target="_blank">衢州</a> <a href="/tags/1185/" title="浙江" class="c1" target="_blank">浙江</a> ,游轮行驶的时间记为 <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/1114/" title="衢州" class="c1" target="_blank">衢州</a> <a href="/tags/1185/" title="浙江" class="c1" target="_blank">浙江</a> ,两艘轮船距离杭州的路程 <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1007/" title="浙江省" class="c1" target="_blank">浙江省</a> <a href="/tags/1114/" title="衢州" class="c1" target="_blank">衢州</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/1114/" title="衢州" class="c1" target="_blank">衢州</a> <a href="/tags/1185/" title="浙江" class="c1" target="_blank">浙江</a> 的图象如图2所示(游轮在停靠前后的行驶速度不变).

1)写出图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/1114/" title="衢州" class="c1" target="_blank">衢州</a> <a href="/tags/1185/" title="浙江" class="c1" target="_blank">浙江</a> 点横坐标的实际意义,并求出游轮在“七里扬帆”停靠的时长.

2)若货轮比游轮早36分钟到达衢州.问:

货轮出发后几小时追上游轮?

游轮与货轮何时相距 <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1007/" title="浙江省" class="c1" target="_blank">浙江省</a> <a href="/tags/1114/" title="衢州" class="c1" target="_blank">衢州</a> <a href="/tags/1185/" title="浙江" class="c1" target="_blank">浙江</a>

Shape22

23.(10分)如图1,在平面直角坐标系中, <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/1114/" title="衢州" class="c1" target="_blank">衢州</a> <a href="/tags/1185/" title="浙江" class="c1" target="_blank">浙江</a> 的顶点 <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/1114/" title="衢州" class="c1" target="_blank">衢州</a> <a href="/tags/1185/" title="浙江" class="c1" target="_blank">浙江</a>  <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1007/" title="浙江省" class="c1" target="_blank">浙江省</a> <a href="/tags/1114/" title="衢州" class="c1" target="_blank">衢州</a> <a href="/tags/1185/" title="浙江" class="c1" target="_blank">浙江</a> 分別是直线 <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/1114/" title="衢州" class="c1" target="_blank">衢州</a> <a href="/tags/1185/" title="浙江" class="c1" target="_blank">浙江</a> 与坐标轴的交点,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/1114/" title="衢州" class="c1" target="_blank">衢州</a> <a href="/tags/1185/" title="浙江" class="c1" target="_blank">浙江</a> 的坐标为 <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/1114/" title="衢州" class="c1" target="_blank">衢州</a> <a href="/tags/1185/" title="浙江" class="c1" target="_blank">浙江</a> ,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/1114/" title="衢州" class="c1" target="_blank">衢州</a> <a href="/tags/1185/" title="浙江" class="c1" target="_blank">浙江</a> 是边 <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/1114/" title="衢州" class="c1" target="_blank">衢州</a> <a href="/tags/1185/" title="浙江" class="c1" target="_blank">浙江</a> 上的一点, <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/1114/" title="衢州" class="c1" target="_blank">衢州</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/1114/" title="衢州" class="c1" target="_blank">衢州</a> <a href="/tags/1185/" title="浙江" class="c1" target="_blank">浙江</a> ,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/1114/" title="衢州" class="c1" target="_blank">衢州</a> <a href="/tags/1185/" title="浙江" class="c1" target="_blank">浙江</a> 在边 <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/1114/" title="衢州" class="c1" target="_blank">衢州</a> <a href="/tags/1185/" title="浙江" class="c1" target="_blank">浙江</a> 上,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/1114/" title="衢州" class="c1" target="_blank">衢州</a> <a href="/tags/1185/" title="浙江" class="c1" target="_blank">浙江</a>  <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1007/" title="浙江省" class="c1" target="_blank">浙江省</a> <a href="/tags/1114/" title="衢州" class="c1" target="_blank">衢州</a> <a href="/tags/1185/" title="浙江" class="c1" target="_blank">浙江</a> 两点关于 <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/1114/" title="衢州" class="c1" target="_blank">衢州</a> <a href="/tags/1185/" title="浙江" class="c1" target="_blank">浙江</a> 轴上的某点成中心对称,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/1114/" title="衢州" class="c1" target="_blank">衢州</a> <a href="/tags/1185/" title="浙江" class="c1" target="_blank">浙江</a>  <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1007/" title="浙江省" class="c1" target="_blank">浙江省</a> <a href="/tags/1114/" title="衢州" class="c1" target="_blank">衢州</a> <a href="/tags/1185/" title="浙江" class="c1" target="_blank">浙江</a> .设点 <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/1114/" title="衢州" class="c1" target="_blank">衢州</a> <a href="/tags/1185/" title="浙江" class="c1" target="_blank">浙江</a> 的横坐标为 <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/1114/" title="衢州" class="c1" target="_blank">衢州</a> <a href="/tags/1185/" title="浙江" class="c1" target="_blank">浙江</a>  <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1007/" title="浙江省" class="c1" target="_blank">浙江省</a> <a href="/tags/1114/" title="衢州" class="c1" target="_blank">衢州</a> <a href="/tags/1185/" title="浙江" class="c1" target="_blank">浙江</a>  <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1007/" title="浙江省" class="c1" target="_blank">浙江省</a> <a href="/tags/1114/" title="衢州" class="c1" target="_blank">衢州</a> <a href="/tags/1185/" title="浙江" class="c1" target="_blank">浙江</a> ,请探究:

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/1114/" title="衢州" class="c1" target="_blank">衢州</a> <a href="/tags/1185/" title="浙江" class="c1" target="_blank">浙江</a> 长度是否有最小值.

 <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1007/" title="浙江省" class="c1" target="_blank">浙江省</a> <a href="/tags/1114/" title="衢州" class="c1" target="_blank">衢州</a> <a href="/tags/1185/" title="浙江" class="c1" target="_blank">浙江</a> 能否成为直角三角形.

小明尝试用“观察 <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1007/" title="浙江省" class="c1" target="_blank">浙江省</a> <a href="/tags/1114/" title="衢州" class="c1" target="_blank">衢州</a> <a href="/tags/1185/" title="浙江" class="c1" target="_blank">浙江</a> 猜想 <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1007/" title="浙江省" class="c1" target="_blank">浙江省</a> <a href="/tags/1114/" title="衢州" class="c1" target="_blank">衢州</a> <a href="/tags/1185/" title="浙江" class="c1" target="_blank">浙江</a> 验证 <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/1114/" title="衢州" class="c1" target="_blank">衢州</a> <a href="/tags/1185/" title="浙江" class="c1" target="_blank">浙江</a> 应用”的方法进行探究,请你一起来解决问题.

1)小明利用“几何画板”软件进行观察,测量,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/1114/" title="衢州" class="c1" target="_blank">衢州</a> <a href="/tags/1185/" title="浙江" class="c1" target="_blank">浙江</a>  <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1007/" title="浙江省" class="c1" target="_blank">浙江省</a> <a href="/tags/1114/" title="衢州" class="c1" target="_blank">衢州</a> <a href="/tags/1185/" title="浙江" class="c1" target="_blank">浙江</a> 变化的一组对应值,并在平面直角坐标系中以各对应值为坐标描点(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/1114/" title="衢州" class="c1" target="_blank">衢州</a> <a href="/tags/1185/" title="浙江" class="c1" target="_blank">浙江</a> .请你在图2中连线,观察图象特征并猜想 <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1007/" title="浙江省" class="c1" target="_blank">浙江省</a> <a href="/tags/1114/" title="衢州" class="c1" target="_blank">衢州</a> <a href="/tags/1185/" title="浙江" class="c1" target="_blank">浙江</a>  <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1007/" title="浙江省" class="c1" target="_blank">浙江省</a> <a href="/tags/1114/" title="衢州" class="c1" target="_blank">衢州</a> <a href="/tags/1185/" title="浙江" class="c1" target="_blank">浙江</a> 可能满足的函数类别.

2)小明结合图1,发现应用三角形和函数知识能验证(1)中的猜想,请你求出 <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/1114/" title="衢州" class="c1" target="_blank">衢州</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/1114/" title="衢州" class="c1" target="_blank">衢州</a> <a href="/tags/1185/" title="浙江" class="c1" target="_blank">浙江</a> 的函数表达式及自变量的取值范围,并求出线段 <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/1114/" title="衢州" class="c1" target="_blank">衢州</a> <a href="/tags/1185/" title="浙江" class="c1" target="_blank">浙江</a> 长度的最小值.

3)小明通过观察,推理,发现 <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1007/" title="浙江省" class="c1" target="_blank">浙江省</a> <a href="/tags/1114/" title="衢州" class="c1" target="_blank">衢州</a> <a href="/tags/1185/" title="浙江" class="c1" target="_blank">浙江</a> 能成为直角三角形,请你求出当 <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/1114/" title="衢州" class="c1" target="_blank">衢州</a> <a href="/tags/1185/" title="浙江" class="c1" target="_blank">浙江</a> 为直角三角形时 <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/1114/" title="衢州" class="c1" target="_blank">衢州</a> <a href="/tags/1185/" title="浙江" class="c1" target="_blank">浙江</a> 的值.

Shape23

24.(12分)【性质探究】

如图,在矩形 <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/1114/" title="衢州" class="c1" target="_blank">衢州</a> <a href="/tags/1185/" title="浙江" class="c1" target="_blank">浙江</a> 中,对角线 <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/1114/" title="衢州" class="c1" target="_blank">衢州</a> <a href="/tags/1185/" title="浙江" class="c1" target="_blank">浙江</a>  <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1007/" title="浙江省" class="c1" target="_blank">浙江省</a> <a href="/tags/1114/" title="衢州" class="c1" target="_blank">衢州</a> <a href="/tags/1185/" title="浙江" class="c1" target="_blank">浙江</a> 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/1114/" title="衢州" class="c1" target="_blank">衢州</a> <a href="/tags/1185/" title="浙江" class="c1" target="_blank">浙江</a>  <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1007/" title="浙江省" class="c1" target="_blank">浙江省</a> <a href="/tags/1114/" title="衢州" class="c1" target="_blank">衢州</a> <a href="/tags/1185/" title="浙江" class="c1" target="_blank">浙江</a> 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/1114/" title="衢州" class="c1" target="_blank">衢州</a> <a href="/tags/1185/" title="浙江" class="c1" target="_blank">浙江</a> ,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/1114/" title="衢州" class="c1" target="_blank">衢州</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/1114/" title="衢州" class="c1" target="_blank">衢州</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/1114/" title="衢州" class="c1" target="_blank">衢州</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/1114/" title="衢州" class="c1" target="_blank">衢州</a> <a href="/tags/1185/" title="浙江" class="c1" target="_blank">浙江</a> ,分别交 <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/1114/" title="衢州" class="c1" target="_blank">衢州</a> <a href="/tags/1185/" title="浙江" class="c1" target="_blank">浙江</a>  <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1007/" title="浙江省" class="c1" target="_blank">浙江省</a> <a href="/tags/1114/" title="衢州" class="c1" target="_blank">衢州</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/1114/" title="衢州" class="c1" target="_blank">衢州</a> <a href="/tags/1185/" title="浙江" class="c1" target="_blank">浙江</a>  <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1007/" title="浙江省" class="c1" target="_blank">浙江省</a> <a href="/tags/1114/" title="衢州" class="c1" target="_blank">衢州</a> <a href="/tags/1185/" title="浙江" class="c1" target="_blank">浙江</a>

1)判断 <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1007/" title="浙江省" class="c1" target="_blank">浙江省</a> <a href="/tags/1114/" title="衢州" class="c1" target="_blank">衢州</a> <a href="/tags/1185/" title="浙江" class="c1" target="_blank">浙江</a> 的形状并说明理由.

2)求证: <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/1114/" title="衢州" class="c1" target="_blank">衢州</a> <a href="/tags/1185/" title="浙江" class="c1" target="_blank">浙江</a>

【迁移应用】

3)记 <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1007/" title="浙江省" class="c1" target="_blank">浙江省</a> <a href="/tags/1114/" title="衢州" class="c1" target="_blank">衢州</a> <a href="/tags/1185/" title="浙江" class="c1" target="_blank">浙江</a> 的面积为 <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/1114/" title="衢州" class="c1" target="_blank">衢州</a> <a href="/tags/1185/" title="浙江" class="c1" target="_blank">浙江</a>  <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1007/" title="浙江省" class="c1" target="_blank">浙江省</a> <a href="/tags/1114/" title="衢州" class="c1" target="_blank">衢州</a> <a href="/tags/1185/" title="浙江" class="c1" target="_blank">浙江</a> 的面积为 <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/1114/" title="衢州" class="c1" target="_blank">衢州</a> <a href="/tags/1185/" title="浙江" class="c1" target="_blank">浙江</a> ,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/1114/" title="衢州" class="c1" target="_blank">衢州</a> <a href="/tags/1185/" title="浙江" class="c1" target="_blank">浙江</a> 时,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/1114/" title="衢州" class="c1" target="_blank">衢州</a> <a href="/tags/1185/" title="浙江" class="c1" target="_blank">浙江</a> 的值.

【拓展延伸】

4)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/1114/" title="衢州" class="c1" target="_blank">衢州</a> <a href="/tags/1185/" title="浙江" class="c1" target="_blank">浙江</a> 交射线 <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/1114/" title="衢州" class="c1" target="_blank">衢州</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/1114/" title="衢州" class="c1" target="_blank">衢州</a> <a href="/tags/1185/" title="浙江" class="c1" target="_blank">浙江</a> ,【性质探究】中的其余条件不变,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/1114/" title="衢州" class="c1" target="_blank">衢州</a> <a href="/tags/1185/" title="浙江" class="c1" target="_blank">浙江</a> ,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/1114/" title="衢州" class="c1" target="_blank">衢州</a> <a href="/tags/1185/" title="浙江" class="c1" target="_blank">浙江</a> 的面积为矩形 <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/1114/" title="衢州" class="c1" target="_blank">衢州</a> <a href="/tags/1185/" title="浙江" class="c1" target="_blank">浙江</a> 面积的 <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/1114/" title="衢州" class="c1" target="_blank">衢州</a> <a href="/tags/1185/" title="浙江" class="c1" target="_blank">浙江</a> 时,请直接写出 <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/1114/" title="衢州" class="c1" target="_blank">衢州</a> <a href="/tags/1185/" title="浙江" class="c1" target="_blank">浙江</a> 的值.

Shape24


2020年浙江省衢州市中考数学试卷

参考答案与试题解析

一、选择题(本题共有10小题,每小题3分,共30分)

1.(3分)比01的数是 <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/1114/" title="衢州" class="c1" target="_blank">衢州</a> <a href="/tags/1185/" title="浙江" class="c1" target="_blank">浙江</a>    <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1007/" title="浙江省" class="c1" target="_blank">浙江省</a> <a href="/tags/1114/" title="衢州" class="c1" target="_blank">衢州</a> <a href="/tags/1185/" title="浙江" class="c1" target="_blank">浙江</a>

A0 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/1114/" title="衢州" class="c1" target="_blank">衢州</a> <a href="/tags/1185/" title="浙江" class="c1" target="_blank">浙江</a> C1 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/1114/" title="衢州" class="c1" target="_blank">衢州</a> <a href="/tags/1185/" title="浙江" class="c1" target="_blank">浙江</a>

【分析】根据题意列式计算即可得出结果.

【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/1114/" title="衢州" class="c1" target="_blank">衢州</a> <a href="/tags/1185/" title="浙江" class="c1" target="_blank">浙江</a>

即比01的数是 <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/1114/" title="衢州" class="c1" target="_blank">衢州</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/1114/" title="衢州" class="c1" target="_blank">衢州</a> <a href="/tags/1185/" title="浙江" class="c1" target="_blank">浙江</a>

【点评】本题主要考查了有理数的减法,理清题意,正确列出算式是解答本题的关键.

2.(3分)下列几何体中,俯视图是圆的几何体是 <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/1114/" title="衢州" class="c1" target="_blank">衢州</a> <a href="/tags/1185/" title="浙江" class="c1" target="_blank">浙江</a>    <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1007/" title="浙江省" class="c1" target="_blank">浙江省</a> <a href="/tags/1114/" title="衢州" class="c1" target="_blank">衢州</a> <a href="/tags/1185/" title="浙江" class="c1" target="_blank">浙江</a>

AShape25 BShape26

CShape27 DShape28

【分析】分别找出从图形的上面看所得到的图形即可.

【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/1114/" title="衢州" class="c1" target="_blank">衢州</a> <a href="/tags/1185/" title="浙江" class="c1" target="_blank">浙江</a> 、俯视图是圆,故此选项正确;

 <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1007/" title="浙江省" class="c1" target="_blank">浙江省</a> <a href="/tags/1114/" title="衢州" class="c1" target="_blank">衢州</a> <a href="/tags/1185/" title="浙江" class="c1" target="_blank">浙江</a> 、俯视图是正方形,故此选项错误;

 <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1007/" title="浙江省" class="c1" target="_blank">浙江省</a> <a href="/tags/1114/" title="衢州" class="c1" target="_blank">衢州</a> <a href="/tags/1185/" title="浙江" class="c1" target="_blank">浙江</a> 、俯视图是长方形,故此选项错误;

 <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1007/" title="浙江省" class="c1" target="_blank">浙江省</a> <a href="/tags/1114/" title="衢州" class="c1" target="_blank">衢州</a> <a href="/tags/1185/" title="浙江" class="c1" target="_blank">浙江</a> 、俯视图是长方形,故此选项错误.

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/1114/" title="衢州" class="c1" target="_blank">衢州</a> <a href="/tags/1185/" title="浙江" class="c1" target="_blank">浙江</a>

【点评】此题主要考查了简单几何体的三视图,关键是掌握俯视图是从几何体的上面看所得到的图形.

3.(3分)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/1114/" title="衢州" class="c1" target="_blank">衢州</a> <a href="/tags/1185/" title="浙江" class="c1" target="_blank">浙江</a> ,正确结果是 <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/1114/" title="衢州" class="c1" target="_blank">衢州</a> <a href="/tags/1185/" title="浙江" class="c1" target="_blank">浙江</a>    <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1007/" title="浙江省" class="c1" target="_blank">浙江省</a> <a href="/tags/1114/" title="衢州" class="c1" target="_blank">衢州</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/1114/" title="衢州" class="c1" target="_blank">衢州</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/1114/" title="衢州" class="c1" target="_blank">衢州</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/1114/" title="衢州" class="c1" target="_blank">衢州</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/1114/" title="衢州" class="c1" target="_blank">衢州</a> <a href="/tags/1185/" title="浙江" class="c1" target="_blank">浙江</a>

【分析】根据幂的乘方法则进行计算即可.

【解答】解:由幂的乘方与积的乘方法则可知, <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/1114/" title="衢州" class="c1" target="_blank">衢州</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/1114/" title="衢州" class="c1" target="_blank">衢州</a> <a href="/tags/1185/" title="浙江" class="c1" target="_blank">浙江</a>

【点评】本题考查的是幂的乘方法则,即底数不变,指数相乘.

4.(3分)如图是一个游戏转盘,自由转动转盘,当转盘停止转动后,指针落在数字“Ⅱ”所示区域内的概率是 <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/1114/" title="衢州" class="c1" target="_blank">衢州</a> <a href="/tags/1185/" title="浙江" class="c1" target="_blank">浙江</a>    <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1007/" title="浙江省" class="c1" target="_blank">浙江省</a> <a href="/tags/1114/" title="衢州" class="c1" target="_blank">衢州</a> <a href="/tags/1185/" title="浙江" class="c1" target="_blank">浙江</a>

Shape29

A <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1007/" title="浙江省" class="c1" target="_blank">浙江省</a> <a href="/tags/1114/" title="衢州" class="c1" target="_blank">衢州</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/1114/" title="衢州" class="c1" target="_blank">衢州</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/1114/" title="衢州" class="c1" target="_blank">衢州</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/1114/" title="衢州" class="c1" target="_blank">衢州</a> <a href="/tags/1185/" title="浙江" class="c1" target="_blank">浙江</a>

【分析】直接利用“Ⅱ”所示区域所占圆周角除以360,进而得出答案.

【解答】解:由扇形统计图可得,指针落在数字“Ⅱ”所示区域内的概率是: <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/1114/" title="衢州" class="c1" target="_blank">衢州</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/1114/" title="衢州" class="c1" target="_blank">衢州</a> <a href="/tags/1185/" title="浙江" class="c1" target="_blank">浙江</a>

【点评】此题主要考查了概率公式,正确理解概率的求法是解题关键.

5.(3分)要使二次根式 <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/1114/" title="衢州" class="c1" target="_blank">衢州</a> <a href="/tags/1185/" title="浙江" class="c1" target="_blank">浙江</a> 有意义,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/1114/" title="衢州" class="c1" target="_blank">衢州</a> <a href="/tags/1185/" title="浙江" class="c1" target="_blank">浙江</a> 的值可以为 <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/1114/" title="衢州" class="c1" target="_blank">衢州</a> <a href="/tags/1185/" title="浙江" class="c1" target="_blank">浙江</a>    <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1007/" title="浙江省" class="c1" target="_blank">浙江省</a> <a href="/tags/1114/" title="衢州" class="c1" target="_blank">衢州</a> <a href="/tags/1185/" title="浙江" class="c1" target="_blank">浙江</a>

A0 B1 C2 D4

【分析】根据二次根式有意义的条件可得 <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/1114/" title="衢州" class="c1" target="_blank">衢州</a> <a href="/tags/1185/" title="浙江" class="c1" target="_blank">浙江</a> ,再解即可.

【解答】解:由题意得: <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/1114/" title="衢州" class="c1" target="_blank">衢州</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/1114/" title="衢州" class="c1" target="_blank">衢州</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/1114/" title="衢州" class="c1" target="_blank">衢州</a> <a href="/tags/1185/" title="浙江" class="c1" target="_blank">浙江</a>

【点评】此题主要考查了二次根式有意义的条件,关键是掌握二次根式中的被开方数是非负数.

6.(3分)不等式组 <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/1114/" title="衢州" class="c1" target="_blank">衢州</a> <a href="/tags/1185/" title="浙江" class="c1" target="_blank">浙江</a> 的解集在数轴上表示正确的是 <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/1114/" title="衢州" class="c1" target="_blank">衢州</a> <a href="/tags/1185/" title="浙江" class="c1" target="_blank">浙江</a>    <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1007/" title="浙江省" class="c1" target="_blank">浙江省</a> <a href="/tags/1114/" title="衢州" class="c1" target="_blank">衢州</a> <a href="/tags/1185/" title="浙江" class="c1" target="_blank">浙江</a>

AShape30

BShape31

CShape32

DShape33

【分析】分别解两个不等式,然后求它们的公共部分即可得到原不等式组的解集,再在数轴上表示出来即可求解.

【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/1114/" title="衢州" class="c1" target="_blank">衢州</a> <a href="/tags/1185/" title="浙江" class="c1" target="_blank">浙江</a>

 <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1007/" title="浙江省" class="c1" target="_blank">浙江省</a> <a href="/tags/1114/" title="衢州" class="c1" target="_blank">衢州</a> <a href="/tags/1185/" title="浙江" class="c1" target="_blank">浙江</a>

 <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1007/" title="浙江省" class="c1" target="_blank">浙江省</a> <a href="/tags/1114/" title="衢州" class="c1" target="_blank">衢州</a> <a href="/tags/1185/" title="浙江" class="c1" target="_blank">浙江</a>

故不等式组的解集为 <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/1114/" title="衢州" class="c1" target="_blank">衢州</a> <a href="/tags/1185/" title="浙江" class="c1" target="_blank">浙江</a>

在数轴上表示出来为:Shape34

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/1114/" title="衢州" class="c1" target="_blank">衢州</a> <a href="/tags/1185/" title="浙江" class="c1" target="_blank">浙江</a>

【点评】本题考查了解一元一次不等式组的方法:分别解几个不等式,它们解的公共部分即为不等式组的解;按照“同大取大,同小取小,大于小的小于大的取中间,大于小的小于大的为空集”得到公共部分.

7.(3分)某厂家2020 <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1007/" title="浙江省" class="c1" target="_blank">浙江省</a> <a href="/tags/1114/" title="衢州" class="c1" target="_blank">衢州</a> <a href="/tags/1185/" title="浙江" class="c1" target="_blank">浙江</a> 月份的口罩产量统计如图所示.设从2月份到4月份,该厂家口罩产量的平均月增长率为 <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/1114/" title="衢州" class="c1" target="_blank">衢州</a> <a href="/tags/1185/" title="浙江" class="c1" target="_blank">浙江</a> ,根据题意可得方程 <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1007/" title="浙江省" class="c1" target="_blank">浙江省</a> <a href="/tags/1114/" title="衢州" class="c1" target="_blank">衢州</a> <a href="/tags/1185/" title="浙江" class="c1" target="_blank">浙江</a>    <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1007/" title="浙江省" class="c1" target="_blank">浙江省</a> <a href="/tags/1114/" title="衢州" class="c1" target="_blank">衢州</a> <a href="/tags/1185/" title="浙江" class="c1" target="_blank">浙江</a>

Shape35

A <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1007/" title="浙江省" class="c1" target="_blank">浙江省</a> <a href="/tags/1114/" title="衢州" class="c1" target="_blank">衢州</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/1114/" title="衢州" class="c1" target="_blank">衢州</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/1114/" title="衢州" class="c1" target="_blank">衢州</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/1114/" title="衢州" class="c1" target="_blank">衢州</a> <a href="/tags/1185/" title="浙江" class="c1" target="_blank">浙江</a>

【分析】本题为增长率问题,一般用增长后的量 <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/1114/" title="衢州" class="c1" target="_blank">衢州</a> <a href="/tags/1185/" title="浙江" class="c1" target="_blank">浙江</a> 增长前的量 <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/1114/" title="衢州" class="c1" target="_blank">衢州</a> <a href="/tags/1185/" title="浙江" class="c1" target="_blank">浙江</a> 增长率),如果设这个增长率为 <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/1114/" title="衢州" class="c1" target="_blank">衢州</a> <a href="/tags/1185/" title="浙江" class="c1" target="_blank">浙江</a> ,根据“2月份的180万只,4月份的利润将达到461万只”,即可得出方程.

【解答】解:从2月份到4月份,该厂家口罩产量的平均月增长率为 <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/1114/" title="衢州" class="c1" target="_blank">衢州</a> <a href="/tags/1185/" title="浙江" class="c1" target="_blank">浙江</a> ,根据题意可得方程: <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1007/" title="浙江省" class="c1" target="_blank">浙江省</a> <a href="/tags/1114/" title="衢州" class="c1" target="_blank">衢州</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/1114/" title="衢州" class="c1" target="_blank">衢州</a> <a href="/tags/1185/" title="浙江" class="c1" target="_blank">浙江</a>

【点评】考查了由实际问题抽象出一元二次方程,本题为增长率问题,一般形式为 <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/1114/" title="衢州" class="c1" target="_blank">衢州</a> <a href="/tags/1185/" title="浙江" class="c1" target="_blank">浙江</a>  <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1007/" title="浙江省" class="c1" target="_blank">浙江省</a> <a href="/tags/1114/" title="衢州" class="c1" target="_blank">衢州</a> <a href="/tags/1185/" title="浙江" class="c1" target="_blank">浙江</a> 为起始时间的有关数量, <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/1114/" title="衢州" class="c1" target="_blank">衢州</a> <a href="/tags/1185/" title="浙江" class="c1" target="_blank">浙江</a> 为终止时间的有关数量.

8.(3分)过直线 <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/1114/" title="衢州" class="c1" target="_blank">衢州</a> <a href="/tags/1185/" title="浙江" class="c1" target="_blank">浙江</a> 外一点 <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/1114/" title="衢州" class="c1" target="_blank">衢州</a> <a href="/tags/1185/" title="浙江" class="c1" target="_blank">浙江</a> 作直线 <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/1114/" title="衢州" class="c1" target="_blank">衢州</a> <a href="/tags/1185/" title="浙江" class="c1" target="_blank">浙江</a> 的平行线,下列尺规作图中错误的是 <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/1114/" title="衢州" class="c1" target="_blank">衢州</a> <a href="/tags/1185/" title="浙江" class="c1" target="_blank">浙江</a>    <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1007/" title="浙江省" class="c1" target="_blank">浙江省</a> <a href="/tags/1114/" title="衢州" class="c1" target="_blank">衢州</a> <a href="/tags/1185/" title="浙江" class="c1" target="_blank">浙江</a>

AShape36 BShape37

CShape38 DShape39

【分析】根据平行线的判定方法一一判断即可.

【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/1114/" title="衢州" class="c1" target="_blank">衢州</a> <a href="/tags/1185/" title="浙江" class="c1" target="_blank">浙江</a> 、由作图可知,内错角相等两直线平行,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/1114/" title="衢州" class="c1" target="_blank">衢州</a> <a href="/tags/1185/" title="浙江" class="c1" target="_blank">浙江</a> 、由作图可知,同位角相等两直线平行,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/1114/" title="衢州" class="c1" target="_blank">衢州</a> <a href="/tags/1185/" title="浙江" class="c1" target="_blank">浙江</a> 、与作图可知,垂直于同一条直线的两条直线平行,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/1114/" title="衢州" class="c1" target="_blank">衢州</a> <a href="/tags/1185/" title="浙江" class="c1" target="_blank">浙江</a> 、无法判断两直线平行,

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/1114/" title="衢州" class="c1" target="_blank">衢州</a> <a href="/tags/1185/" title="浙江" class="c1" target="_blank">浙江</a>

【点评】本题考查作图 <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/1114/" title="衢州" class="c1" target="_blank">衢州</a> <a href="/tags/1185/" title="浙江" class="c1" target="_blank">浙江</a> 复杂作图,平行线的判定等知识,解题的关键是读懂图象信息,属于中考常考题型.

9.(3分)二次函数 <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/1114/" title="衢州" class="c1" target="_blank">衢州</a> <a href="/tags/1185/" title="浙江" class="c1" target="_blank">浙江</a> 的图象平移后经过点 <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/1114/" title="衢州" class="c1" target="_blank">衢州</a> <a href="/tags/1185/" title="浙江" class="c1" target="_blank">浙江</a> ,则下列平移方法正确的是 <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/1114/" title="衢州" class="c1" target="_blank">衢州</a> <a href="/tags/1185/" title="浙江" class="c1" target="_blank">浙江</a>    <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1007/" title="浙江省" class="c1" target="_blank">浙江省</a> <a href="/tags/1114/" title="衢州" class="c1" target="_blank">衢州</a> <a href="/tags/1185/" title="浙江" class="c1" target="_blank">浙江</a>

A.向左平移2个单位,向下平移2个单位

B.向左平移1个单位,向上平移2个单位

C.向右平移1个单位,向下平移1个单位

D.向右平移2个单位,向上平移1个单位

【分析】求出平移后的抛物线的解析式,利用待定系数法解决问题即可.

【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/1114/" title="衢州" class="c1" target="_blank">衢州</a> <a href="/tags/1185/" title="浙江" class="c1" target="_blank">浙江</a> 、平移后的解析式为 <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/1114/" title="衢州" class="c1" target="_blank">衢州</a> <a href="/tags/1185/" title="浙江" class="c1" target="_blank">浙江</a> ,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/1114/" title="衢州" class="c1" target="_blank">衢州</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/1114/" title="衢州" class="c1" target="_blank">衢州</a> <a href="/tags/1185/" title="浙江" class="c1" target="_blank">浙江</a> ,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/1114/" title="衢州" class="c1" target="_blank">衢州</a> <a href="/tags/1185/" title="浙江" class="c1" target="_blank">浙江</a> 、平移后的解析式为 <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/1114/" title="衢州" class="c1" target="_blank">衢州</a> <a href="/tags/1185/" title="浙江" class="c1" target="_blank">浙江</a> ,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/1114/" title="衢州" class="c1" target="_blank">衢州</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/1114/" title="衢州" class="c1" target="_blank">衢州</a> <a href="/tags/1185/" title="浙江" class="c1" target="_blank">浙江</a> ,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/1114/" title="衢州" class="c1" target="_blank">衢州</a> <a href="/tags/1185/" title="浙江" class="c1" target="_blank">浙江</a> 、平移后的解析式为 <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/1114/" title="衢州" class="c1" target="_blank">衢州</a> <a href="/tags/1185/" title="浙江" class="c1" target="_blank">浙江</a> ,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/1114/" title="衢州" class="c1" target="_blank">衢州</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/1114/" title="衢州" class="c1" target="_blank">衢州</a> <a href="/tags/1185/" title="浙江" class="c1" target="_blank">浙江</a> ,函数图象经过 <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1007/" title="浙江省" class="c1" target="_blank">浙江省</a> <a href="/tags/1114/" title="衢州" class="c1" target="_blank">衢州</a> <a href="/tags/1185/" title="浙江" class="c1" target="_blank">浙江</a> ,本选项符合题意.

 <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/1114/" title="衢州" class="c1" target="_blank">衢州</a> <a href="/tags/1185/" title="浙江" class="c1" target="_blank">浙江</a> 、平移后的解析式为 <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/1114/" title="衢州" class="c1" target="_blank">衢州</a> <a href="/tags/1185/" title="浙江" class="c1" target="_blank">浙江</a> ,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/1114/" title="衢州" class="c1" target="_blank">衢州</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/1114/" title="衢州" class="c1" target="_blank">衢州</a> <a href="/tags/1185/" title="浙江" class="c1" target="_blank">浙江</a> ,本选项不符合题意.

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/1114/" title="衢州" class="c1" target="_blank">衢州</a> <a href="/tags/1185/" title="浙江" class="c1" target="_blank">浙江</a>

【点评】本题考查二次函数图象与几何变换,二次函数图象上点的特征,解题的关键是熟练掌握基本知识,属于中考常考题型.

10.(3分)如图,把一张矩形纸片 <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1007/" title="浙江省" class="c1" target="_blank">浙江省</a> <a href="/tags/1114/" title="衢州" class="c1" target="_blank">衢州</a> <a href="/tags/1185/" title="浙江" class="c1" target="_blank">浙江</a> 按所示方法进行两次折叠,得到等腰直角三角形 <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/1114/" title="衢州" class="c1" target="_blank">衢州</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/1114/" title="衢州" class="c1" target="_blank">衢州</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/1114/" title="衢州" class="c1" target="_blank">衢州</a> <a href="/tags/1185/" title="浙江" class="c1" target="_blank">浙江</a> 的长度为 <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/1114/" title="衢州" class="c1" target="_blank">衢州</a> <a href="/tags/1185/" title="浙江" class="c1" target="_blank">浙江</a>    <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1007/" title="浙江省" class="c1" target="_blank">浙江省</a> <a href="/tags/1114/" title="衢州" class="c1" target="_blank">衢州</a> <a href="/tags/1185/" title="浙江" class="c1" target="_blank">浙江</a>

Shape40

A <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1007/" title="浙江省" class="c1" target="_blank">浙江省</a> <a href="/tags/1114/" title="衢州" class="c1" target="_blank">衢州</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/1114/" title="衢州" class="c1" target="_blank">衢州</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/1114/" title="衢州" class="c1" target="_blank">衢州</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/1114/" title="衢州" class="c1" target="_blank">衢州</a> <a href="/tags/1185/" title="浙江" class="c1" target="_blank">浙江</a>

【分析】先判断出 <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/1114/" title="衢州" class="c1" target="_blank">衢州</a> <a href="/tags/1185/" title="浙江" class="c1" target="_blank">浙江</a> ,进而判断出 <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/1114/" title="衢州" class="c1" target="_blank">衢州</a> <a href="/tags/1185/" title="浙江" class="c1" target="_blank">浙江</a> ,利用勾股定理即可得出结论.

【解答】解:

由折叠补全图形如图所示,

 <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1007/" title="浙江省" class="c1" target="_blank">浙江省</a> <a href="/tags/1114/" title="衢州" class="c1" target="_blank">衢州</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/1114/" title="衢州" class="c1" target="_blank">衢州</a> <a href="/tags/1185/" title="浙江" class="c1" target="_blank">浙江</a> 是矩形,

 <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/1114/" title="衢州" class="c1" target="_blank">衢州</a> <a href="/tags/1185/" title="浙江" class="c1" target="_blank">浙江</a>  <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1007/" title="浙江省" class="c1" target="_blank">浙江省</a> <a href="/tags/1114/" title="衢州" class="c1" target="_blank">衢州</a> <a href="/tags/1185/" title="浙江" class="c1" target="_blank">浙江</a>  <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1007/" title="浙江省" class="c1" target="_blank">浙江省</a> <a href="/tags/1114/" title="衢州" class="c1" target="_blank">衢州</a> <a href="/tags/1185/" title="浙江" class="c1" target="_blank">浙江</a>

由第一次折叠得: <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/1114/" title="衢州" class="c1" target="_blank">衢州</a> <a href="/tags/1185/" title="浙江" class="c1" target="_blank">浙江</a>  <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1007/" title="浙江省" class="c1" target="_blank">浙江省</a> <a href="/tags/1114/" title="衢州" class="c1" target="_blank">衢州</a> <a href="/tags/1185/" title="浙江" class="c1" target="_blank">浙江</a>

 <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1007/" title="浙江省" class="c1" target="_blank">浙江省</a> <a href="/tags/1114/" title="衢州" class="c1" target="_blank">衢州</a> <a href="/tags/1185/" title="浙江" class="c1" target="_blank">浙江</a>

 <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1007/" title="浙江省" class="c1" target="_blank">浙江省</a> <a href="/tags/1114/" title="衢州" class="c1" target="_blank">衢州</a> <a href="/tags/1185/" title="浙江" class="c1" target="_blank">浙江</a>

 <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1007/" title="浙江省" class="c1" target="_blank">浙江省</a> <a href="/tags/1114/" title="衢州" class="c1" target="_blank">衢州</a> <a href="/tags/1185/" title="浙江" class="c1" target="_blank">浙江</a> 中,根据勾股定理得, <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/1114/" title="衢州" class="c1" target="_blank">衢州</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/1114/" title="衢州" class="c1" target="_blank">衢州</a> <a href="/tags/1185/" title="浙江" class="c1" target="_blank">浙江</a>

Shape41

【点评】此题主要考查了折叠问题,掌握折叠前后的对应边,对应角相等是解本题的关键.

二、填空题(本题共有6小题,每小题4分,共24分)

11.(4分)一元一次方程 <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1007/" title="浙江省" class="c1" target="_blank">浙江省</a> <a href="/tags/1114/" title="衢州" class="c1" target="_blank">衢州</a> <a href="/tags/1185/" title="浙江" class="c1" target="_blank">浙江</a> 的解是 <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/1114/" title="衢州" class="c1" target="_blank">衢州</a> <a href="/tags/1185/" title="浙江" class="c1" target="_blank">浙江</a>  1 

【分析】将方程移项,然后再将系数化为1即可求得一元一次方程的解.

【解答】解;将方程移项得,

 <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/1114/" title="衢州" class="c1" target="_blank">衢州</a> <a href="/tags/1185/" title="浙江" class="c1" target="_blank">浙江</a>

系数化为1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/1114/" title="衢州" class="c1" target="_blank">衢州</a> <a href="/tags/1185/" title="浙江" class="c1" target="_blank">浙江</a>

故答案为:1

【点评】此题主要考查学生对解一元一次方程这一知识点的理解和掌握,此题比较简单,属于基础题

12.(4分)定义 <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1007/" title="浙江省" class="c1" target="_blank">浙江省</a> <a href="/tags/1114/" title="衢州" class="c1" target="_blank">衢州</a> <a href="/tags/1185/" title="浙江" class="c1" target="_blank">浙江</a>  <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1007/" title="浙江省" class="c1" target="_blank">浙江省</a> <a href="/tags/1114/" title="衢州" class="c1" target="_blank">衢州</a> <a href="/tags/1185/" title="浙江" class="c1" target="_blank">浙江</a> ,例如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/1114/" title="衢州" class="c1" target="_blank">衢州</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/1114/" title="衢州" class="c1" target="_blank">衢州</a> <a href="/tags/1185/" title="浙江" class="c1" target="_blank">浙江</a>  <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1007/" title="浙江省" class="c1" target="_blank">浙江省</a> <a href="/tags/1114/" title="衢州" class="c1" target="_blank">衢州</a> <a href="/tags/1185/" title="浙江" class="c1" target="_blank">浙江</a> 的结果为  <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/1114/" title="衢州" class="c1" target="_blank">衢州</a> <a href="/tags/1185/" title="浙江" class="c1" target="_blank">浙江</a>  

【分析】根据规定的运算,直接代值后再根据平方差公式计算即可.

【解答】解: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/1114/" title="衢州" class="c1" target="_blank">衢州</a> <a href="/tags/1185/" title="浙江" class="c1" target="_blank">浙江</a> <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1007/" title="浙江省" class="c1" target="_blank">浙江省</a> <a href="/tags/1114/" title="衢州" class="c1" target="_blank">衢州</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/1114/" title="衢州" class="c1" target="_blank">衢州</a> <a href="/tags/1185/" title="浙江" class="c1" target="_blank">浙江</a>

【点评】本题主要考查平方差公式,解题的关键是理解新定义的运用.

13.(4分)某班五个兴趣小组的人数分别为445 <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1007/" title="浙江省" class="c1" target="_blank">浙江省</a> <a href="/tags/1114/" title="衢州" class="c1" target="_blank">衢州</a> <a href="/tags/1185/" title="浙江" class="c1" target="_blank">浙江</a> 6.已知这组数据的平均数是5,则这组数据的中位数是 5 

【分析】先根据平均数的定义计算出 <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/1114/" title="衢州" class="c1" target="_blank">衢州</a> <a href="/tags/1185/" title="浙江" class="c1" target="_blank">浙江</a> 的值,再把数据按从小到大的顺序排列,找出最中间的数,即为中位数.

【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/1114/" title="衢州" class="c1" target="_blank">衢州</a> <a href="/tags/1185/" title="浙江" class="c1" target="_blank">浙江</a> 某班五个兴趣小组的人数分别为445 <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1007/" title="浙江省" class="c1" target="_blank">浙江省</a> <a href="/tags/1114/" title="衢州" class="c1" target="_blank">衢州</a> <a href="/tags/1185/" title="浙江" class="c1" target="_blank">浙江</a> 6,已知这组数据的平均数是5

 <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1007/" title="浙江省" class="c1" target="_blank">浙江省</a> <a href="/tags/1114/" title="衢州" class="c1" target="_blank">衢州</a> <a href="/tags/1185/" title="浙江" class="c1" target="_blank">浙江</a>

 <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1007/" title="浙江省" class="c1" target="_blank">浙江省</a> <a href="/tags/1114/" title="衢州" class="c1" target="_blank">衢州</a> <a href="/tags/1185/" title="浙江" class="c1" target="_blank">浙江</a> 这一组数从小到大排列为:44566

 <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1007/" title="浙江省" class="c1" target="_blank">浙江省</a> <a href="/tags/1114/" title="衢州" class="c1" target="_blank">衢州</a> <a href="/tags/1185/" title="浙江" class="c1" target="_blank">浙江</a> 这组数据的中位数是5

故答案为:5

【点评】本题考查了中位数的知识,将一组数据按照从小到大(或从大到小)的顺序排列,如果数据的个数是奇数,则处于中间位置的数就是这组数据的中位数,如果这组数据的个数是偶数,则中间两个数据的平均数就是这组数据的中位数.也考查了平均数的定义.

14.(4分)小慧用图1中的一副七巧板拼出如图2所示的“行礼图”,已知正方形 <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/1114/" title="衢州" class="c1" target="_blank">衢州</a> <a href="/tags/1185/" title="浙江" class="c1" target="_blank">浙江</a> 的边长为 <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/1114/" title="衢州" class="c1" target="_blank">衢州</a> <a href="/tags/1185/" title="浙江" class="c1" target="_blank">浙江</a> ,则图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/1114/" title="衢州" class="c1" target="_blank">衢州</a> <a href="/tags/1185/" title="浙江" class="c1" target="_blank">浙江</a> 的值为  <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/1114/" title="衢州" class="c1" target="_blank">衢州</a> <a href="/tags/1185/" title="浙江" class="c1" target="_blank">浙江</a>   <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1007/" title="浙江省" class="c1" target="_blank">浙江省</a> <a href="/tags/1114/" title="衢州" class="c1" target="_blank">衢州</a> <a href="/tags/1185/" title="浙江" class="c1" target="_blank">浙江</a>

Shape42

【分析】根据七巧板的特征,依次得到②④⑥⑦的高,再相加即可求解.

【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/1114/" title="衢州" class="c1" target="_blank">衢州</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/1114/" title="衢州" class="c1" target="_blank">衢州</a> <a href="/tags/1185/" title="浙江" class="c1" target="_blank">浙江</a> 的边长为 <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/1114/" title="衢州" class="c1" target="_blank">衢州</a> <a href="/tags/1185/" title="浙江" class="c1" target="_blank">浙江</a>

 <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1007/" title="浙江省" class="c1" target="_blank">浙江省</a> <a href="/tags/1114/" title="衢州" class="c1" target="_blank">衢州</a> <a href="/tags/1185/" title="浙江" class="c1" target="_blank">浙江</a>的斜边上的高是 <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/1114/" title="衢州" class="c1" target="_blank">衢州</a> <a href="/tags/1185/" title="浙江" class="c1" target="_blank">浙江</a> 的高是 <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/1114/" title="衢州" class="c1" target="_blank">衢州</a> <a href="/tags/1185/" title="浙江" class="c1" target="_blank">浙江</a> 的斜边上的高是 <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/1114/" title="衢州" class="c1" target="_blank">衢州</a> <a href="/tags/1185/" title="浙江" class="c1" target="_blank">浙江</a> 的斜边上的高是 <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/1114/" title="衢州" class="c1" target="_blank">衢州</a> <a href="/tags/1185/" title="浙江" class="c1" target="_blank">浙江</a>

 <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1007/" title="浙江省" class="c1" target="_blank">浙江省</a> <a href="/tags/1114/" title="衢州" class="c1" target="_blank">衢州</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/1114/" title="衢州" class="c1" target="_blank">衢州</a> <a href="/tags/1185/" title="浙江" class="c1" target="_blank">浙江</a> 的值为 <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/1114/" title="衢州" class="c1" target="_blank">衢州</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/1114/" title="衢州" class="c1" target="_blank">衢州</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,七巧板知识,解题的关键是得到②④⑥⑦的高解决问题.

15.(4分)如图,将一把矩形直尺 <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1007/" title="浙江省" class="c1" target="_blank">浙江省</a> <a href="/tags/1114/" title="衢州" class="c1" target="_blank">衢州</a> <a href="/tags/1185/" title="浙江" class="c1" target="_blank">浙江</a> 和一块含 <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1007/" title="浙江省" class="c1" target="_blank">浙江省</a> <a href="/tags/1114/" title="衢州" class="c1" target="_blank">衢州</a> <a href="/tags/1185/" title="浙江" class="c1" target="_blank">浙江</a> 角的三角板 <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1007/" title="浙江省" class="c1" target="_blank">浙江省</a> <a href="/tags/1114/" title="衢州" class="c1" target="_blank">衢州</a> <a href="/tags/1185/" title="浙江" class="c1" target="_blank">浙江</a> 摆放在平面直角坐标系中, <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/1114/" title="衢州" class="c1" target="_blank">衢州</a> <a href="/tags/1185/" title="浙江" class="c1" target="_blank">浙江</a>  <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1007/" title="浙江省" class="c1" target="_blank">浙江省</a> <a href="/tags/1114/" title="衢州" class="c1" target="_blank">衢州</a> <a href="/tags/1185/" title="浙江" class="c1" target="_blank">浙江</a> 轴上,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/1114/" title="衢州" class="c1" target="_blank">衢州</a> <a href="/tags/1185/" title="浙江" class="c1" target="_blank">浙江</a> 与点 <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/1114/" title="衢州" class="c1" target="_blank">衢州</a> <a href="/tags/1185/" title="浙江" class="c1" target="_blank">浙江</a> 重合,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/1114/" title="衢州" class="c1" target="_blank">衢州</a> <a href="/tags/1185/" title="浙江" class="c1" target="_blank">浙江</a>  <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1007/" title="浙江省" class="c1" target="_blank">浙江省</a> <a href="/tags/1114/" title="衢州" class="c1" target="_blank">衢州</a> <a href="/tags/1185/" title="浙江" class="c1" target="_blank">浙江</a> 上,三角板的直角边 <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/1114/" title="衢州" class="c1" target="_blank">衢州</a> <a href="/tags/1185/" title="浙江" class="c1" target="_blank">浙江</a>  <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1007/" title="浙江省" class="c1" target="_blank">浙江省</a> <a href="/tags/1114/" title="衢州" class="c1" target="_blank">衢州</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/1114/" title="衢州" class="c1" target="_blank">衢州</a> <a href="/tags/1185/" title="浙江" class="c1" target="_blank">浙江</a> ,反比例函数 <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/1114/" title="衢州" class="c1" target="_blank">衢州</a> <a href="/tags/1185/" title="浙江" class="c1" target="_blank">浙江</a> 的图象恰好经过点 <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/1114/" title="衢州" class="c1" target="_blank">衢州</a> <a href="/tags/1185/" title="浙江" class="c1" target="_blank">浙江</a>  <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1007/" title="浙江省" class="c1" target="_blank">浙江省</a> <a href="/tags/1114/" title="衢州" class="c1" target="_blank">衢州</a> <a href="/tags/1185/" title="浙江" class="c1" target="_blank">浙江</a> .若直尺的宽 <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/1114/" title="衢州" class="c1" target="_blank">衢州</a> <a href="/tags/1185/" title="浙江" class="c1" target="_blank">浙江</a> ,三角板的斜边 <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/1114/" title="衢州" class="c1" target="_blank">衢州</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/1114/" title="衢州" class="c1" target="_blank">衢州</a> <a href="/tags/1185/" title="浙江" class="c1" target="_blank">浙江</a>   <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1007/" title="浙江省" class="c1" target="_blank">浙江省</a> <a href="/tags/1114/" title="衢州" class="c1" target="_blank">衢州</a> <a href="/tags/1185/" title="浙江" class="c1" target="_blank">浙江</a>  

Shape43

【分析】通过作辅助线,构造直角三角形,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/1114/" title="衢州" class="c1" target="_blank">衢州</a> <a href="/tags/1185/" title="浙江" class="c1" target="_blank">浙江</a>  <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1007/" title="浙江省" class="c1" target="_blank">浙江省</a> <a href="/tags/1114/" title="衢州" class="c1" target="_blank">衢州</a> <a href="/tags/1185/" title="浙江" class="c1" target="_blank">浙江</a> ,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/1114/" title="衢州" class="c1" target="_blank">衢州</a> <a href="/tags/1185/" title="浙江" class="c1" target="_blank">浙江</a>  <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1007/" title="浙江省" class="c1" target="_blank">浙江省</a> <a href="/tags/1114/" title="衢州" class="c1" target="_blank">衢州</a> <a href="/tags/1185/" title="浙江" class="c1" target="_blank">浙江</a> ,表示出点 <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/1114/" title="衢州" class="c1" target="_blank">衢州</a> <a href="/tags/1185/" title="浙江" class="c1" target="_blank">浙江</a> 、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/1114/" title="衢州" class="c1" target="_blank">衢州</a> <a href="/tags/1185/" title="浙江" class="c1" target="_blank">浙江</a> 的坐标,利用反比例函数 <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/1114/" title="衢州" class="c1" target="_blank">衢州</a> <a href="/tags/1185/" title="浙江" class="c1" target="_blank">浙江</a> 的意义,确定点 <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/1114/" title="衢州" class="c1" target="_blank">衢州</a> <a href="/tags/1185/" title="浙江" class="c1" target="_blank">浙江</a> 的坐标,进而确定 <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/1114/" title="衢州" class="c1" target="_blank">衢州</a> <a href="/tags/1185/" title="浙江" class="c1" target="_blank">浙江</a> 的值即可.

【解答】解: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/1114/" title="衢州" class="c1" target="_blank">衢州</a> <a href="/tags/1185/" title="浙江" class="c1" target="_blank">浙江</a>  <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1007/" title="浙江省" class="c1" target="_blank">浙江省</a> <a href="/tags/1114/" title="衢州" class="c1" target="_blank">衢州</a> <a href="/tags/1185/" title="浙江" class="c1" target="_blank">浙江</a> ,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/1114/" title="衢州" class="c1" target="_blank">衢州</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/1114/" title="衢州" class="c1" target="_blank">衢州</a> <a href="/tags/1185/" title="浙江" class="c1" target="_blank">浙江</a>

 <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1007/" title="浙江省" class="c1" target="_blank">浙江省</a> <a href="/tags/1114/" title="衢州" class="c1" target="_blank">衢州</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/1114/" title="衢州" class="c1" target="_blank">衢州</a> <a href="/tags/1185/" title="浙江" class="c1" target="_blank">浙江</a>

 <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1007/" title="浙江省" class="c1" target="_blank">浙江省</a> <a href="/tags/1114/" title="衢州" class="c1" target="_blank">衢州</a> <a href="/tags/1185/" title="浙江" class="c1" target="_blank">浙江</a>

 <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1007/" title="浙江省" class="c1" target="_blank">浙江省</a> <a href="/tags/1114/" title="衢州" class="c1" target="_blank">衢州</a> <a href="/tags/1185/" title="浙江" class="c1" target="_blank">浙江</a>

 <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1007/" title="浙江省" class="c1" target="_blank">浙江省</a> <a href="/tags/1114/" title="衢州" class="c1" target="_blank">衢州</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/1114/" title="衢州" class="c1" target="_blank">衢州</a> <a href="/tags/1185/" title="浙江" class="c1" target="_blank">浙江</a>

 <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1007/" title="浙江省" class="c1" target="_blank">浙江省</a> <a href="/tags/1114/" title="衢州" class="c1" target="_blank">衢州</a> <a href="/tags/1185/" title="浙江" class="c1" target="_blank">浙江</a>  <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1007/" title="浙江省" class="c1" target="_blank">浙江省</a> <a href="/tags/1114/" title="衢州" class="c1" target="_blank">衢州</a> <a href="/tags/1185/" title="浙江" class="c1" target="_blank">浙江</a>  <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1007/" title="浙江省" class="c1" target="_blank">浙江省</a> <a href="/tags/1114/" title="衢州" class="c1" target="_blank">衢州</a> <a href="/tags/1185/" title="浙江" class="c1" target="_blank">浙江</a>  <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1007/" title="浙江省" class="c1" target="_blank">浙江省</a> <a href="/tags/1114/" title="衢州" class="c1" target="_blank">衢州</a> <a href="/tags/1185/" title="浙江" class="c1" target="_blank">浙江</a>

 <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1007/" title="浙江省" class="c1" target="_blank">浙江省</a> <a href="/tags/1114/" title="衢州" class="c1" target="_blank">衢州</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/1114/" title="衢州" class="c1" target="_blank">衢州</a> <a href="/tags/1185/" title="浙江" class="c1" target="_blank">浙江</a>

 <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1007/" title="浙江省" class="c1" target="_blank">浙江省</a> <a href="/tags/1114/" title="衢州" class="c1" target="_blank">衢州</a> <a href="/tags/1185/" title="浙江" class="c1" target="_blank">浙江</a>  <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1007/" title="浙江省" class="c1" target="_blank">浙江省</a> <a href="/tags/1114/" title="衢州" class="c1" target="_blank">衢州</a> <a href="/tags/1185/" title="浙江" class="c1" target="_blank">浙江</a>

 <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1007/" title="浙江省" class="c1" target="_blank">浙江省</a> <a href="/tags/1114/" title="衢州" class="c1" target="_blank">衢州</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/1114/" title="衢州" class="c1" target="_blank">衢州</a> <a href="/tags/1185/" title="浙江" class="c1" target="_blank">浙江</a>

Shape44

【点评】考查反比例函数的图象上点的坐标特征,把点的坐标代入函数关系式是常用的方法.

16.(4分)图1是由七根连杆链接而成的机械装置,图2是其示意图.已知 <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/1114/" title="衢州" class="c1" target="_blank">衢州</a> <a href="/tags/1185/" title="浙江" class="c1" target="_blank">浙江</a>  <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1007/" title="浙江省" class="c1" target="_blank">浙江省</a> <a href="/tags/1114/" title="衢州" class="c1" target="_blank">衢州</a> <a href="/tags/1185/" title="浙江" class="c1" target="_blank">浙江</a> 两点固定,连杆 <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1007/" title="浙江省" class="c1" target="_blank">浙江省</a> <a href="/tags/1114/" title="衢州" class="c1" target="_blank">衢州</a> <a href="/tags/1185/" title="浙江" class="c1" target="_blank">浙江</a>  <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1007/" title="浙江省" class="c1" target="_blank">浙江省</a> <a href="/tags/1114/" title="衢州" class="c1" target="_blank">衢州</a> <a href="/tags/1185/" title="浙江" class="c1" target="_blank">浙江</a>  <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1007/" title="浙江省" class="c1" target="_blank">浙江省</a> <a href="/tags/1114/" title="衢州" class="c1" target="_blank">衢州</a> <a href="/tags/1185/" title="浙江" class="c1" target="_blank">浙江</a>  <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1007/" title="浙江省" class="c1" target="_blank">浙江省</a> <a href="/tags/1114/" title="衢州" class="c1" target="_blank">衢州</a> <a href="/tags/1185/" title="浙江" class="c1" target="_blank">浙江</a>  <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1007/" title="浙江省" class="c1" target="_blank">浙江省</a> <a href="/tags/1114/" title="衢州" class="c1" target="_blank">衢州</a> <a href="/tags/1185/" title="浙江" class="c1" target="_blank">浙江</a> 两点间距与 <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/1114/" title="衢州" class="c1" target="_blank">衢州</a> <a href="/tags/1185/" title="浙江" class="c1" target="_blank">浙江</a> 长度相等.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/1114/" title="衢州" class="c1" target="_blank">衢州</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/1114/" title="衢州" class="c1" target="_blank">衢州</a> <a href="/tags/1185/" title="浙江" class="c1" target="_blank">浙江</a> 转动时,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/1114/" title="衢州" class="c1" target="_blank">衢州</a> <a href="/tags/1185/" title="浙江" class="c1" target="_blank">浙江</a>  <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1007/" title="浙江省" class="c1" target="_blank">浙江省</a> <a href="/tags/1114/" title="衢州" class="c1" target="_blank">衢州</a> <a href="/tags/1185/" title="浙江" class="c1" target="_blank">浙江</a>  <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1007/" title="浙江省" class="c1" target="_blank">浙江省</a> <a href="/tags/1114/" title="衢州" class="c1" target="_blank">衢州</a> <a href="/tags/1185/" title="浙江" class="c1" target="_blank">浙江</a> 的位置随之改变,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/1114/" title="衢州" class="c1" target="_blank">衢州</a> <a href="/tags/1185/" title="浙江" class="c1" target="_blank">浙江</a> 恰好在线段 <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/1114/" title="衢州" class="c1" target="_blank">衢州</a> <a href="/tags/1185/" title="浙江" class="c1" target="_blank">浙江</a> 上来回运动.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/1114/" title="衢州" class="c1" target="_blank">衢州</a> <a href="/tags/1185/" title="浙江" class="c1" target="_blank">浙江</a> 运动至点 <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/1114/" title="衢州" class="c1" target="_blank">衢州</a> <a href="/tags/1185/" title="浙江" class="c1" target="_blank">浙江</a>  <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1007/" title="浙江省" class="c1" target="_blank">浙江省</a> <a href="/tags/1114/" title="衢州" class="c1" target="_blank">衢州</a> <a href="/tags/1185/" title="浙江" class="c1" target="_blank">浙江</a> 时,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/1114/" title="衢州" class="c1" target="_blank">衢州</a> <a href="/tags/1185/" title="浙江" class="c1" target="_blank">浙江</a>  <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1007/" title="浙江省" class="c1" target="_blank">浙江省</a> <a href="/tags/1114/" title="衢州" class="c1" target="_blank">衢州</a> <a href="/tags/1185/" title="浙江" class="c1" target="_blank">浙江</a> 重合,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/1114/" title="衢州" class="c1" target="_blank">衢州</a> <a href="/tags/1185/" title="浙江" class="c1" target="_blank">浙江</a>  <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1007/" title="浙江省" class="c1" target="_blank">浙江省</a> <a href="/tags/1114/" title="衢州" class="c1" target="_blank">衢州</a> <a href="/tags/1185/" title="浙江" class="c1" target="_blank">浙江</a>  <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1007/" title="浙江省" class="c1" target="_blank">浙江省</a> <a href="/tags/1114/" title="衢州" class="c1" target="_blank">衢州</a> <a href="/tags/1185/" title="浙江" class="c1" target="_blank">浙江</a>  <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1007/" title="浙江省" class="c1" target="_blank">浙江省</a> <a href="/tags/1114/" title="衢州" class="c1" target="_blank">衢州</a> <a href="/tags/1185/" title="浙江" class="c1" target="_blank">浙江</a> 在同一直线上(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/1114/" title="衢州" class="c1" target="_blank">衢州</a> <a href="/tags/1185/" title="浙江" class="c1" target="_blank">浙江</a>

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/1114/" title="衢州" class="c1" target="_blank">衢州</a> <a href="/tags/1185/" title="浙江" class="c1" target="_blank">浙江</a>  <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1007/" title="浙江省" class="c1" target="_blank">浙江省</a> <a href="/tags/1114/" title="衢州" class="c1" target="_blank">衢州</a> <a href="/tags/1185/" title="浙江" class="c1" target="_blank">浙江</a> 的距离为 160  <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1007/" title="浙江省" class="c1" target="_blank">浙江省</a> <a href="/tags/1114/" title="衢州" class="c1" target="_blank">衢州</a> <a href="/tags/1185/" title="浙江" class="c1" target="_blank">浙江</a>

2)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/1114/" title="衢州" class="c1" target="_blank">衢州</a> <a href="/tags/1185/" title="浙江" class="c1" target="_blank">浙江</a>  <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1007/" title="浙江省" class="c1" target="_blank">浙江省</a> <a href="/tags/1114/" title="衢州" class="c1" target="_blank">衢州</a> <a href="/tags/1185/" title="浙江" class="c1" target="_blank">浙江</a>  <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1007/" title="浙江省" class="c1" target="_blank">浙江省</a> <a href="/tags/1114/" title="衢州" class="c1" target="_blank">衢州</a> <a href="/tags/1185/" title="浙江" class="c1" target="_blank">浙江</a> 在同一直线上时,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/1114/" title="衢州" class="c1" target="_blank">衢州</a> <a href="/tags/1185/" title="浙江" class="c1" target="_blank">浙江</a>  <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1007/" title="浙江省" class="c1" target="_blank">浙江省</a> <a href="/tags/1114/" title="衢州" class="c1" target="_blank">衢州</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/1114/" title="衢州" class="c1" target="_blank">衢州</a> <a href="/tags/1185/" title="浙江" class="c1" target="_blank">浙江</a>

Shape45

【分析】1)如图3中,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/1114/" title="衢州" class="c1" target="_blank">衢州</a> <a href="/tags/1185/" title="浙江" class="c1" target="_blank">浙江</a>  <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1007/" title="浙江省" class="c1" target="_blank">浙江省</a> <a href="/tags/1114/" title="衢州" class="c1" target="_blank">衢州</a> <a href="/tags/1185/" title="浙江" class="c1" target="_blank">浙江</a>  <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1007/" title="浙江省" class="c1" target="_blank">浙江省</a> <a href="/tags/1114/" title="衢州" class="c1" target="_blank">衢州</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/1114/" title="衢州" class="c1" target="_blank">衢州</a> <a href="/tags/1185/" title="浙江" class="c1" target="_blank">浙江</a>  <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1007/" title="浙江省" class="c1" target="_blank">浙江省</a> <a href="/tags/1114/" title="衢州" class="c1" target="_blank">衢州</a> <a href="/tags/1185/" title="浙江" class="c1" target="_blank">浙江</a>  <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1007/" title="浙江省" class="c1" target="_blank">浙江省</a> <a href="/tags/1114/" title="衢州" class="c1" target="_blank">衢州</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/1114/" title="衢州" class="c1" target="_blank">衢州</a> <a href="/tags/1185/" title="浙江" class="c1" target="_blank">浙江</a> 即可.

2)如图4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/1114/" title="衢州" class="c1" target="_blank">衢州</a> <a href="/tags/1185/" title="浙江" class="c1" target="_blank">浙江</a>  <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1007/" title="浙江省" class="c1" target="_blank">浙江省</a> <a href="/tags/1114/" title="衢州" class="c1" target="_blank">衢州</a> <a href="/tags/1185/" title="浙江" class="c1" target="_blank">浙江</a>  <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1007/" title="浙江省" class="c1" target="_blank">浙江省</a> <a href="/tags/1114/" title="衢州" class="c1" target="_blank">衢州</a> <a href="/tags/1185/" title="浙江" class="c1" target="_blank">浙江</a> 共线时,过 <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1007/" title="浙江省" class="c1" target="_blank">浙江省</a> <a href="/tags/1114/" title="衢州" class="c1" target="_blank">衢州</a> <a href="/tags/1185/" title="浙江" class="c1" target="_blank">浙江</a>  <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1007/" title="浙江省" class="c1" target="_blank">浙江省</a> <a href="/tags/1114/" title="衢州" class="c1" target="_blank">衢州</a> <a href="/tags/1185/" title="浙江" class="c1" target="_blank">浙江</a>  <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1007/" title="浙江省" class="c1" target="_blank">浙江省</a> <a href="/tags/1114/" title="衢州" class="c1" target="_blank">衢州</a> <a href="/tags/1185/" title="浙江" class="c1" target="_blank">浙江</a> .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/1114/" title="衢州" class="c1" target="_blank">衢州</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/1114/" title="衢州" class="c1" target="_blank">衢州</a> <a href="/tags/1185/" title="浙江" class="c1" target="_blank">浙江</a> 即可.

【解答】解:(1)如图3中,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/1114/" title="衢州" class="c1" target="_blank">衢州</a> <a href="/tags/1185/" title="浙江" class="c1" target="_blank">浙江</a>  <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1007/" title="浙江省" class="c1" target="_blank">浙江省</a> <a href="/tags/1114/" title="衢州" class="c1" target="_blank">衢州</a> <a href="/tags/1185/" title="浙江" class="c1" target="_blank">浙江</a>  <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1007/" title="浙江省" class="c1" target="_blank">浙江省</a> <a href="/tags/1114/" title="衢州" class="c1" target="_blank">衢州</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/1114/" title="衢州" class="c1" target="_blank">衢州</a> <a href="/tags/1185/" title="浙江" class="c1" target="_blank">浙江</a>  <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1007/" title="浙江省" class="c1" target="_blank">浙江省</a> <a href="/tags/1114/" title="衢州" class="c1" target="_blank">衢州</a> <a href="/tags/1185/" title="浙江" class="c1" target="_blank">浙江</a>  <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1007/" title="浙江省" class="c1" target="_blank">浙江省</a> <a href="/tags/1114/" title="衢州" class="c1" target="_blank">衢州</a> <a href="/tags/1185/" title="浙江" class="c1" target="_blank">浙江</a>

Shape46

由题意: <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/1114/" title="衢州" class="c1" target="_blank">衢州</a> <a href="/tags/1185/" title="浙江" class="c1" target="_blank">浙江</a>  <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1007/" title="浙江省" class="c1" target="_blank">浙江省</a> <a href="/tags/1114/" title="衢州" class="c1" target="_blank">衢州</a> <a href="/tags/1185/" title="浙江" class="c1" target="_blank">浙江</a>  <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1007/" title="浙江省" class="c1" target="_blank">浙江省</a> <a href="/tags/1114/" title="衢州" class="c1" target="_blank">衢州</a> <a href="/tags/1185/" title="浙江" class="c1" target="_blank">浙江</a>  <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1007/" title="浙江省" class="c1" target="_blank">浙江省</a> <a href="/tags/1114/" title="衢州" class="c1" target="_blank">衢州</a> <a href="/tags/1185/" title="浙江" class="c1" target="_blank">浙江</a>

 <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1007/" title="浙江省" class="c1" target="_blank">浙江省</a> <a href="/tags/1114/" title="衢州" class="c1" target="_blank">衢州</a> <a href="/tags/1185/" title="浙江" class="c1" target="_blank">浙江</a>

 <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1007/" title="浙江省" class="c1" target="_blank">浙江省</a> <a href="/tags/1114/" title="衢州" class="c1" target="_blank">衢州</a> <a href="/tags/1185/" title="浙江" class="c1" target="_blank">浙江</a>

 <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1007/" title="浙江省" class="c1" target="_blank">浙江省</a> <a href="/tags/1114/" title="衢州" class="c1" target="_blank">衢州</a> <a href="/tags/1185/" title="浙江" class="c1" target="_blank">浙江</a>

 <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1007/" title="浙江省" class="c1" target="_blank">浙江省</a> <a href="/tags/1114/" title="衢州" class="c1" target="_blank">衢州</a> <a href="/tags/1185/" title="浙江" class="c1" target="_blank">浙江</a>  <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1007/" title="浙江省" class="c1" target="_blank">浙江省</a> <a href="/tags/1114/" title="衢州" class="c1" target="_blank">衢州</a> <a href="/tags/1185/" title="浙江" class="c1" target="_blank">浙江</a>

 <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1007/" title="浙江省" class="c1" target="_blank">浙江省</a> <a href="/tags/1114/" title="衢州" class="c1" target="_blank">衢州</a> <a href="/tags/1185/" title="浙江" class="c1" target="_blank">浙江</a>

 <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1007/" title="浙江省" class="c1" target="_blank">浙江省</a> <a href="/tags/1114/" title="衢州" class="c1" target="_blank">衢州</a> <a href="/tags/1185/" title="浙江" class="c1" target="_blank">浙江</a>  <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1007/" title="浙江省" class="c1" target="_blank">浙江省</a> <a href="/tags/1114/" title="衢州" class="c1" target="_blank">衢州</a> <a href="/tags/1185/" title="浙江" class="c1" target="_blank">浙江</a>  <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1007/" title="浙江省" class="c1" target="_blank">浙江省</a> <a href="/tags/1114/" title="衢州" class="c1" target="_blank">衢州</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/1114/" title="衢州" class="c1" target="_blank">衢州</a> <a href="/tags/1185/" title="浙江" class="c1" target="_blank">浙江</a>

故答案为160


2)如图4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/1114/" title="衢州" class="c1" target="_blank">衢州</a> <a href="/tags/1185/" title="浙江" class="c1" target="_blank">浙江</a>  <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1007/" title="浙江省" class="c1" target="_blank">浙江省</a> <a href="/tags/1114/" title="衢州" class="c1" target="_blank">衢州</a> <a href="/tags/1185/" title="浙江" class="c1" target="_blank">浙江</a>  <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1007/" title="浙江省" class="c1" target="_blank">浙江省</a> <a href="/tags/1114/" title="衢州" class="c1" target="_blank">衢州</a> <a href="/tags/1185/" title="浙江" class="c1" target="_blank">浙江</a> 共线时,过 <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1007/" title="浙江省" class="c1" target="_blank">浙江省</a> <a href="/tags/1114/" title="衢州" class="c1" target="_blank">衢州</a> <a href="/tags/1185/" title="浙江" class="c1" target="_blank">浙江</a>  <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1007/" title="浙江省" class="c1" target="_blank">浙江省</a> <a href="/tags/1114/" title="衢州" class="c1" target="_blank">衢州</a> <a href="/tags/1185/" title="浙江" class="c1" target="_blank">浙江</a>  <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1007/" title="浙江省" class="c1" target="_blank">浙江省</a> <a href="/tags/1114/" title="衢州" class="c1" target="_blank">衢州</a> <a href="/tags/1185/" title="浙江" class="c1" target="_blank">浙江</a> .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/1114/" title="衢州" class="c1" target="_blank">衢州</a> <a href="/tags/1185/" title="浙江" class="c1" target="_blank">浙江</a>

Shape47

由题意 <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/1114/" title="衢州" class="c1" target="_blank">衢州</a> <a href="/tags/1185/" title="浙江" class="c1" target="_blank">浙江</a>  <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1007/" title="浙江省" class="c1" target="_blank">浙江省</a> <a href="/tags/1114/" title="衢州" class="c1" target="_blank">衢州</a> <a href="/tags/1185/" title="浙江" class="c1" target="_blank">浙江</a>  <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1007/" title="浙江省" class="c1" target="_blank">浙江省</a> <a href="/tags/1114/" title="衢州" class="c1" target="_blank">衢州</a> <a href="/tags/1185/" title="浙江" class="c1" target="_blank">浙江</a>  <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1007/" title="浙江省" class="c1" target="_blank">浙江省</a> <a href="/tags/1114/" title="衢州" class="c1" target="_blank">衢州</a> <a href="/tags/1185/" title="浙江" class="c1" target="_blank">浙江</a>

 <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1007/" title="浙江省" class="c1" target="_blank">浙江省</a> <a href="/tags/1114/" title="衢州" class="c1" target="_blank">衢州</a> <a href="/tags/1185/" title="浙江" class="c1" target="_blank">浙江</a>

 <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1007/" title="浙江省" class="c1" target="_blank">浙江省</a> <a href="/tags/1114/" title="衢州" class="c1" target="_blank">衢州</a> <a href="/tags/1185/" title="浙江" class="c1" target="_blank">浙江</a>

 <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1007/" title="浙江省" class="c1" target="_blank">浙江省</a> <a href="/tags/1114/" title="衢州" class="c1" target="_blank">衢州</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/1114/" title="衢州" class="c1" target="_blank">衢州</a> <a href="/tags/1185/" title="浙江" class="c1" target="_blank">浙江</a>

 <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1007/" title="浙江省" class="c1" target="_blank">浙江省</a> <a href="/tags/1114/" title="衢州" class="c1" target="_blank">衢州</a> <a href="/tags/1185/" title="浙江" class="c1" target="_blank">浙江</a>

 <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1007/" title="浙江省" class="c1" target="_blank">浙江省</a> <a href="/tags/1114/" title="衢州" class="c1" target="_blank">衢州</a> <a href="/tags/1185/" title="浙江" class="c1" target="_blank">浙江</a>  <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1007/" title="浙江省" class="c1" target="_blank">浙江省</a> <a href="/tags/1114/" title="衢州" class="c1" target="_blank">衢州</a> <a href="/tags/1185/" title="浙江" class="c1" target="_blank">浙江</a>  <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1007/" title="浙江省" class="c1" target="_blank">浙江省</a> <a href="/tags/1114/" title="衢州" class="c1" target="_blank">衢州</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/1114/" title="衢州" class="c1" target="_blank">衢州</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/1114/" title="衢州" class="c1" target="_blank">衢州</a> <a href="/tags/1185/" title="浙江" class="c1" target="_blank">浙江</a>

【点评】本题考查解直角三角形的应用,等腰三角形的性质,菱形的性质等知识,解题的关键是理解题意,学会添加常用辅助线,构造直角三角形解决问题,学会利用参数构建方程解决问题.

三、解答题(本题共有8小题,第1719小题每小题6分,第2021小题每小题6分,第2223小题每小题6分,第24小题12分,共66分.请务必写出解答过程)

17.(6分)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/1114/" title="衢州" class="c1" target="_blank">衢州</a> <a href="/tags/1185/" title="浙江" class="c1" target="_blank">浙江</a>

【分析】直接利用零指数幂的性质以及特殊角的三角函数值、二次根式的性质分别化简得出答案.

【解答】解: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/1114/" title="衢州" class="c1" target="_blank">衢州</a> <a href="/tags/1185/" title="浙江" class="c1" target="_blank">浙江</a>

 <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1007/" title="浙江省" class="c1" target="_blank">浙江省</a> <a href="/tags/1114/" title="衢州" class="c1" target="_blank">衢州</a> <a href="/tags/1185/" title="浙江" class="c1" target="_blank">浙江</a>

 <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1007/" title="浙江省" class="c1" target="_blank">浙江省</a> <a href="/tags/1114/" title="衢州" class="c1" target="_blank">衢州</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,正确化简各数是解题关键.

18.(6分)先化简,再求值: <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1007/" title="浙江省" class="c1" target="_blank">浙江省</a> <a href="/tags/1114/" title="衢州" class="c1" target="_blank">衢州</a> <a href="/tags/1185/" title="浙江" class="c1" target="_blank">浙江</a> ,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/1114/" title="衢州" class="c1" target="_blank">衢州</a> <a href="/tags/1185/" title="浙江" class="c1" target="_blank">浙江</a>

【分析】直接利用分式的乘除运算法则化简进而代入数据求出答案.

【解答】解: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/1114/" title="衢州" class="c1" target="_blank">衢州</a> <a href="/tags/1185/" title="浙江" class="c1" target="_blank">浙江</a>

 <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1007/" title="浙江省" class="c1" target="_blank">浙江省</a> <a href="/tags/1114/" title="衢州" class="c1" target="_blank">衢州</a> <a href="/tags/1185/" title="浙江" class="c1" target="_blank">浙江</a>

 <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1007/" title="浙江省" class="c1" target="_blank">浙江省</a> <a href="/tags/1114/" title="衢州" class="c1" target="_blank">衢州</a> <a href="/tags/1185/" title="浙江" class="c1" target="_blank">浙江</a> 时,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/1114/" title="衢州" class="c1" target="_blank">衢州</a> <a href="/tags/1185/" title="浙江" class="c1" target="_blank">浙江</a>

【点评】此题主要考查了分式的化简求值,正确化简分式是解题关键.

19.(6分)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/1114/" title="衢州" class="c1" target="_blank">衢州</a> <a href="/tags/1185/" title="浙江" class="c1" target="_blank">浙江</a> 的网格中, <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/1114/" title="衢州" class="c1" target="_blank">衢州</a> <a href="/tags/1185/" title="浙江" class="c1" target="_blank">浙江</a> 的三个顶点都在格点上.

1)在图1中画出一个以 <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1007/" title="浙江省" class="c1" target="_blank">浙江省</a> <a href="/tags/1114/" title="衢州" class="c1" target="_blank">衢州</a> <a href="/tags/1185/" title="浙江" class="c1" target="_blank">浙江</a> 为边的 <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/1114/" title="衢州" class="c1" target="_blank">衢州</a> <a href="/tags/1185/" title="浙江" class="c1" target="_blank">浙江</a> ,使顶点 <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/1114/" title="衢州" class="c1" target="_blank">衢州</a> <a href="/tags/1185/" title="浙江" class="c1" target="_blank">浙江</a>  <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1007/" title="浙江省" class="c1" target="_blank">浙江省</a> <a href="/tags/1114/" title="衢州" class="c1" target="_blank">衢州</a> <a href="/tags/1185/" title="浙江" class="c1" target="_blank">浙江</a> 在格点上.

2)在图2中画出一条恰好平分 <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/1114/" title="衢州" class="c1" target="_blank">衢州</a> <a href="/tags/1185/" title="浙江" class="c1" target="_blank">浙江</a> 周长的直线 <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/1114/" title="衢州" class="c1" target="_blank">衢州</a> <a href="/tags/1185/" title="浙江" class="c1" target="_blank">浙江</a> (至少经过两个格点).

Shape48

【分析】1)根据平行四边形的定义画出图形即可(答案不唯一).

2)利用数形结合的思想解决问题即可.

【解答】解:(1)如图平行四边形 <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/1114/" title="衢州" class="c1" target="_blank">衢州</a> <a href="/tags/1185/" title="浙江" class="c1" target="_blank">浙江</a> 即为所求(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/1114/" title="衢州" class="c1" target="_blank">衢州</a> <a href="/tags/1185/" title="浙江" class="c1" target="_blank">浙江</a> 的位置还有6种情形可取).

2)如图,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/1114/" title="衢州" class="c1" target="_blank">衢州</a> <a href="/tags/1185/" title="浙江" class="c1" target="_blank">浙江</a> 即为所求、

Shape49

【点评】本题考查作图 <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/1114/" title="衢州" class="c1" target="_blank">衢州</a> <a href="/tags/1185/" title="浙江" class="c1" target="_blank">浙江</a> 应用与设计,平行四边形的性质,三角形的周长等知识,解题的关键是熟练掌握基本知识,属于中考常考题型.

20.(8分)某市在九年级“线上教学”结束后,为了解学生的视力情况,抽查了部分学生进行视力检测.根据检测结果,制成下面不完整的统计图表.

被抽样的学生视力情况频数表

组别

视力段

频数

 <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/1114/" title="衢州" class="c1" target="_blank">衢州</a> <a href="/tags/1185/" title="浙江" class="c1" target="_blank">浙江</a>

 <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1007/" title="浙江省" class="c1" target="_blank">浙江省</a> <a href="/tags/1114/" title="衢州" class="c1" target="_blank">衢州</a> <a href="/tags/1185/" title="浙江" class="c1" target="_blank">浙江</a>

25

 <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1007/" title="浙江省" class="c1" target="_blank">浙江省</a> <a href="/tags/1114/" title="衢州" class="c1" target="_blank">衢州</a> <a href="/tags/1185/" title="浙江" class="c1" target="_blank">浙江</a>

 <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1007/" title="浙江省" class="c1" target="_blank">浙江省</a> <a href="/tags/1114/" title="衢州" class="c1" target="_blank">衢州</a> <a href="/tags/1185/" title="浙江" class="c1" target="_blank">浙江</a>

115

 <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1007/" title="浙江省" class="c1" target="_blank">浙江省</a> <a href="/tags/1114/" title="衢州" class="c1" target="_blank">衢州</a> <a href="/tags/1185/" title="浙江" class="c1" target="_blank">浙江</a>

 <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1007/" title="浙江省" class="c1" target="_blank">浙江省</a> <a href="/tags/1114/" title="衢州" class="c1" target="_blank">衢州</a> <a href="/tags/1185/" title="浙江" class="c1" target="_blank">浙江</a>

 <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1007/" title="浙江省" class="c1" target="_blank">浙江省</a> <a href="/tags/1114/" title="衢州" class="c1" target="_blank">衢州</a> <a href="/tags/1185/" title="浙江" class="c1" target="_blank">浙江</a>

 <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1007/" title="浙江省" class="c1" target="_blank">浙江省</a> <a href="/tags/1114/" title="衢州" class="c1" target="_blank">衢州</a> <a href="/tags/1185/" title="浙江" class="c1" target="_blank">浙江</a>

 <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1007/" title="浙江省" class="c1" target="_blank">浙江省</a> <a href="/tags/1114/" title="衢州" class="c1" target="_blank">衢州</a> <a href="/tags/1185/" title="浙江" class="c1" target="_blank">浙江</a>

52

1)求组别 <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1007/" title="浙江省" class="c1" target="_blank">浙江省</a> <a href="/tags/1114/" title="衢州" class="c1" target="_blank">衢州</a> <a href="/tags/1185/" title="浙江" class="c1" target="_blank">浙江</a> 的频数 <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/1114/" title="衢州" class="c1" target="_blank">衢州</a> <a href="/tags/1185/" title="浙江" class="c1" target="_blank">浙江</a> 的值.

2)求组别 <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1007/" title="浙江省" class="c1" target="_blank">浙江省</a> <a href="/tags/1114/" title="衢州" class="c1" target="_blank">衢州</a> <a href="/tags/1185/" title="浙江" class="c1" target="_blank">浙江</a> 的圆心角度数.

3)如果视力值4.8及以上属于“视力良好”,请估计该市25000名九年级学生达到“视力良好”的人数.根据上述图表信息,你对视力保护有什么建议?

Shape50

【分析】1)根据统计图中的数据,可以得到本次抽查的人数,从而可以得到 <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/1114/" title="衢州" class="c1" target="_blank">衢州</a> <a href="/tags/1185/" title="浙江" class="c1" target="_blank">浙江</a> 的值;

2)根据(1)中的结果和频数分布表,可以得到组别 <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1007/" title="浙江省" class="c1" target="_blank">浙江省</a> <a href="/tags/1114/" title="衢州" class="c1" target="_blank">衢州</a> <a href="/tags/1185/" title="浙江" class="c1" target="_blank">浙江</a> 的圆心角度数;

3)根据统计图中的数据,可以得到该市25000名九年级学生达到“视力良好”的人数,并提出合理化建议,建议答案不唯一,只要对保护眼睛好即可.

【解答】解:(1)本次抽查的人数为: <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/1114/" title="衢州" class="c1" target="_blank">衢州</a> <a href="/tags/1185/" title="浙江" class="c1" target="_blank">浙江</a>

 <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1007/" title="浙江省" class="c1" target="_blank">浙江省</a> <a href="/tags/1114/" title="衢州" class="c1" target="_blank">衢州</a> <a href="/tags/1185/" title="浙江" class="c1" target="_blank">浙江</a>

 <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1007/" title="浙江省" class="c1" target="_blank">浙江省</a> <a href="/tags/1114/" title="衢州" class="c1" target="_blank">衢州</a> <a href="/tags/1185/" title="浙江" class="c1" target="_blank">浙江</a> 的值是308

2)组别 <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1007/" title="浙江省" class="c1" target="_blank">浙江省</a> <a href="/tags/1114/" title="衢州" class="c1" target="_blank">衢州</a> <a href="/tags/1185/" title="浙江" class="c1" target="_blank">浙江</a> 的圆心角度数是: <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/1114/" title="衢州" class="c1" target="_blank">衢州</a> <a href="/tags/1185/" title="浙江" class="c1" target="_blank">浙江</a>

即组别 <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1007/" title="浙江省" class="c1" target="_blank">浙江省</a> <a href="/tags/1114/" title="衢州" class="c1" target="_blank">衢州</a> <a href="/tags/1185/" title="浙江" class="c1" target="_blank">浙江</a> 的圆心角度数是 <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/1114/" title="衢州" class="c1" target="_blank">衢州</a> <a href="/tags/1185/" title="浙江" class="c1" target="_blank">浙江</a>

3 <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1007/" title="浙江省" class="c1" target="_blank">浙江省</a> <a href="/tags/1114/" title="衢州" class="c1" target="_blank">衢州</a> <a href="/tags/1185/" title="浙江" class="c1" target="_blank">浙江</a> (人 <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1007/" title="浙江省" class="c1" target="_blank">浙江省</a> <a href="/tags/1114/" title="衢州" class="c1" target="_blank">衢州</a> <a href="/tags/1185/" title="浙江" class="c1" target="_blank">浙江</a>

答:该市25000名九年级学生达到“视力良好”的有7000人,

建议是:同学们应少玩电子产品,注意用眼保护.

【点评】本题考查扇形统计图、频数分布表、用样本估计总体,解答本题的关键是明确题意,利用数形结合的思想解答.

21.(8分)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/1114/" title="衢州" class="c1" target="_blank">衢州</a> <a href="/tags/1185/" title="浙江" class="c1" target="_blank">浙江</a> 内接于 <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/1114/" title="衢州" class="c1" target="_blank">衢州</a> <a href="/tags/1185/" title="浙江" class="c1" target="_blank">浙江</a>  <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1007/" title="浙江省" class="c1" target="_blank">浙江省</a> <a href="/tags/1114/" title="衢州" class="c1" target="_blank">衢州</a> <a href="/tags/1185/" title="浙江" class="c1" target="_blank">浙江</a>  <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1007/" title="浙江省" class="c1" target="_blank">浙江省</a> <a href="/tags/1114/" title="衢州" class="c1" target="_blank">衢州</a> <a href="/tags/1185/" title="浙江" class="c1" target="_blank">浙江</a> 的直径, <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1007/" title="浙江省" class="c1" target="_blank">浙江省</a> <a href="/tags/1114/" title="衢州" class="c1" target="_blank">衢州</a> <a href="/tags/1185/" title="浙江" class="c1" target="_blank">浙江</a>  <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1007/" title="浙江省" class="c1" target="_blank">浙江省</a> <a href="/tags/1114/" title="衢州" class="c1" target="_blank">衢州</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/1114/" title="衢州" class="c1" target="_blank">衢州</a> <a href="/tags/1185/" title="浙江" class="c1" target="_blank">浙江</a> ,弦 <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1007/" title="浙江省" class="c1" target="_blank">浙江省</a> <a href="/tags/1114/" title="衢州" class="c1" target="_blank">衢州</a> <a href="/tags/1185/" title="浙江" class="c1" target="_blank">浙江</a> 分别交 <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/1114/" title="衢州" class="c1" target="_blank">衢州</a> <a href="/tags/1185/" title="浙江" class="c1" target="_blank">浙江</a>  <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1007/" title="浙江省" class="c1" target="_blank">浙江省</a> <a href="/tags/1114/" title="衢州" class="c1" target="_blank">衢州</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/1114/" title="衢州" class="c1" target="_blank">衢州</a> <a href="/tags/1185/" title="浙江" class="c1" target="_blank">浙江</a>  <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1007/" title="浙江省" class="c1" target="_blank">浙江省</a> <a href="/tags/1114/" title="衢州" class="c1" target="_blank">衢州</a> <a href="/tags/1185/" title="浙江" class="c1" target="_blank">浙江</a> ,其中点 <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/1114/" title="衢州" class="c1" target="_blank">衢州</a> <a href="/tags/1185/" title="浙江" class="c1" target="_blank">浙江</a>  <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1007/" title="浙江省" class="c1" target="_blank">浙江省</a> <a href="/tags/1114/" title="衢州" class="c1" target="_blank">衢州</a> <a href="/tags/1185/" title="浙江" class="c1" target="_blank">浙江</a> 的中点.

1)求证: <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/1114/" title="衢州" class="c1" target="_blank">衢州</a> <a href="/tags/1185/" title="浙江" class="c1" target="_blank">浙江</a>

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/1114/" title="衢州" class="c1" target="_blank">衢州</a> <a href="/tags/1185/" title="浙江" class="c1" target="_blank">浙江</a> 的长.

Shape51

【分析】1)利用垂径定理以及圆周角定理解决问题即可.

2)证明 <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1007/" title="浙江省" class="c1" target="_blank">浙江省</a> <a href="/tags/1114/" title="衢州" class="c1" target="_blank">衢州</a> <a href="/tags/1185/" title="浙江" class="c1" target="_blank">浙江</a> ,推出 <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/1114/" title="衢州" class="c1" target="_blank">衢州</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/1114/" title="衢州" class="c1" target="_blank">衢州</a> <a href="/tags/1185/" title="浙江" class="c1" target="_blank">浙江</a> 即可解决问题.

【解答】1)证明: <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1007/" title="浙江省" class="c1" target="_blank">浙江省</a> <a href="/tags/1114/" title="衢州" class="c1" target="_blank">衢州</a> <a href="/tags/1185/" title="浙江" class="c1" target="_blank">浙江</a>  <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1007/" title="浙江省" class="c1" target="_blank">浙江省</a> <a href="/tags/1114/" title="衢州" class="c1" target="_blank">衢州</a> <a href="/tags/1185/" title="浙江" class="c1" target="_blank">浙江</a> 是半径,

 <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1007/" title="浙江省" class="c1" target="_blank">浙江省</a> <a href="/tags/1114/" title="衢州" class="c1" target="_blank">衢州</a> <a href="/tags/1185/" title="浙江" class="c1" target="_blank">浙江</a>  <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1007/" title="浙江省" class="c1" target="_blank">浙江省</a> <a href="/tags/1114/" title="衢州" class="c1" target="_blank">衢州</a> <a href="/tags/1185/" title="浙江" class="c1" target="_blank">浙江</a>

 <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1007/" title="浙江省" class="c1" target="_blank">浙江省</a> <a href="/tags/1114/" title="衢州" class="c1" target="_blank">衢州</a> <a href="/tags/1185/" title="浙江" class="c1" target="_blank">浙江</a>


2)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/1114/" title="衢州" class="c1" target="_blank">衢州</a> <a href="/tags/1185/" title="浙江" class="c1" target="_blank">浙江</a> 是直径,

 <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1007/" title="浙江省" class="c1" target="_blank">浙江省</a> <a href="/tags/1114/" title="衢州" class="c1" target="_blank">衢州</a> <a href="/tags/1185/" title="浙江" class="c1" target="_blank">浙江</a>

 <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1007/" title="浙江省" class="c1" target="_blank">浙江省</a> <a href="/tags/1114/" title="衢州" class="c1" target="_blank">衢州</a> <a href="/tags/1185/" title="浙江" class="c1" target="_blank">浙江</a>

 <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1007/" title="浙江省" class="c1" target="_blank">浙江省</a> <a href="/tags/1114/" title="衢州" class="c1" target="_blank">衢州</a> <a href="/tags/1185/" title="浙江" class="c1" target="_blank">浙江</a>

 <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1007/" title="浙江省" class="c1" target="_blank">浙江省</a> <a href="/tags/1114/" title="衢州" class="c1" target="_blank">衢州</a> <a href="/tags/1185/" title="浙江" class="c1" target="_blank">浙江</a>

 <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1007/" title="浙江省" class="c1" target="_blank">浙江省</a> <a href="/tags/1114/" title="衢州" class="c1" target="_blank">衢州</a> <a href="/tags/1185/" title="浙江" class="c1" target="_blank">浙江</a>

 <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1007/" title="浙江省" class="c1" target="_blank">浙江省</a> <a href="/tags/1114/" title="衢州" class="c1" target="_blank">衢州</a> <a href="/tags/1185/" title="浙江" class="c1" target="_blank">浙江</a>

 <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1007/" title="浙江省" class="c1" target="_blank">浙江省</a> <a href="/tags/1114/" title="衢州" class="c1" target="_blank">衢州</a> <a href="/tags/1185/" title="浙江" class="c1" target="_blank">浙江</a>  <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1007/" title="浙江省" class="c1" target="_blank">浙江省</a> <a href="/tags/1114/" title="衢州" class="c1" target="_blank">衢州</a> <a href="/tags/1185/" title="浙江" class="c1" target="_blank">浙江</a>

 <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1007/" title="浙江省" class="c1" target="_blank">浙江省</a> <a href="/tags/1114/" title="衢州" class="c1" target="_blank">衢州</a> <a href="/tags/1185/" title="浙江" class="c1" target="_blank">浙江</a>  <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1007/" title="浙江省" class="c1" target="_blank">浙江省</a> <a href="/tags/1114/" title="衢州" class="c1" target="_blank">衢州</a> <a href="/tags/1185/" title="浙江" class="c1" target="_blank">浙江</a>

 <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1007/" title="浙江省" class="c1" target="_blank">浙江省</a> <a href="/tags/1114/" title="衢州" class="c1" target="_blank">衢州</a> <a href="/tags/1185/" title="浙江" class="c1" target="_blank">浙江</a>

 <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1007/" title="浙江省" class="c1" target="_blank">浙江省</a> <a href="/tags/1114/" title="衢州" class="c1" target="_blank">衢州</a> <a href="/tags/1185/" title="浙江" class="c1" target="_blank">浙江</a>

 <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1007/" title="浙江省" class="c1" target="_blank">浙江省</a> <a href="/tags/1114/" title="衢州" class="c1" target="_blank">衢州</a> <a href="/tags/1185/" title="浙江" class="c1" target="_blank">浙江</a>

Shape52

【点评】本题考查三角形的外心,勾股定理,垂径定理,圆周角定理等知识,解题的关键是熟练掌握基本知识,属于中考常考题型.

22.(10分)2020516日,“钱塘江诗路”航道全线开通.一艘游轮从杭州出发前往衢州,线路如图1所示.当游轮到达建德境内的“七里扬帆”景点时,一艘货轮沿着同样的线路从杭州出发前往衢州.已知游轮的速度为 <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/1114/" title="衢州" class="c1" target="_blank">衢州</a> <a href="/tags/1185/" title="浙江" class="c1" target="_blank">浙江</a> ,游轮行驶的时间记为 <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/1114/" title="衢州" class="c1" target="_blank">衢州</a> <a href="/tags/1185/" title="浙江" class="c1" target="_blank">浙江</a> ,两艘轮船距离杭州的路程 <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1007/" title="浙江省" class="c1" target="_blank">浙江省</a> <a href="/tags/1114/" title="衢州" class="c1" target="_blank">衢州</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/1114/" title="衢州" class="c1" target="_blank">衢州</a> <a href="/tags/1185/" title="浙江" class="c1" target="_blank">浙江</a> 的图象如图2所示(游轮在停靠前后的行驶速度不变).

1)写出图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/1114/" title="衢州" class="c1" target="_blank">衢州</a> <a href="/tags/1185/" title="浙江" class="c1" target="_blank">浙江</a> 点横坐标的实际意义,并求出游轮在“七里扬帆”停靠的时长.

2)若货轮比游轮早36分钟到达衢州.问:

货轮出发后几小时追上游轮?

游轮与货轮何时相距 <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1007/" title="浙江省" class="c1" target="_blank">浙江省</a> <a href="/tags/1114/" title="衢州" class="c1" target="_blank">衢州</a> <a href="/tags/1185/" title="浙江" class="c1" target="_blank">浙江</a>

Shape53

【分析】1)根据图中信息解答即可.

2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/1114/" title="衢州" class="c1" target="_blank">衢州</a> <a href="/tags/1185/" title="浙江" class="c1" target="_blank">浙江</a>  <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1007/" title="浙江省" class="c1" target="_blank">浙江省</a> <a href="/tags/1114/" title="衢州" class="c1" target="_blank">衢州</a> <a href="/tags/1185/" title="浙江" class="c1" target="_blank">浙江</a>  <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1007/" title="浙江省" class="c1" target="_blank">浙江省</a> <a href="/tags/1114/" title="衢州" class="c1" target="_blank">衢州</a> <a href="/tags/1185/" title="浙江" class="c1" target="_blank">浙江</a>  <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1007/" title="浙江省" class="c1" target="_blank">浙江省</a> <a href="/tags/1114/" title="衢州" class="c1" target="_blank">衢州</a> <a href="/tags/1185/" title="浙江" class="c1" target="_blank">浙江</a> 的坐标,利用待定系数法求解即可.

3)分两种情形分别构建方程求解即可.

【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/1114/" title="衢州" class="c1" target="_blank">衢州</a> <a href="/tags/1185/" title="浙江" class="c1" target="_blank">浙江</a> 点横坐标的实际意义是游轮从杭州出发前往衢州共用了 <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/1114/" title="衢州" class="c1" target="_blank">衢州</a> <a href="/tags/1185/" title="浙江" class="c1" target="_blank">浙江</a>

 <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1007/" title="浙江省" class="c1" target="_blank">浙江省</a> <a href="/tags/1114/" title="衢州" class="c1" target="_blank">衢州</a> <a href="/tags/1185/" title="浙江" class="c1" target="_blank">浙江</a> 游轮在“七里扬帆”停靠的时长 <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/1114/" title="衢州" class="c1" target="_blank">衢州</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/1114/" title="衢州" class="c1" target="_blank">衢州</a> <a href="/tags/1185/" title="浙江" class="c1" target="_blank">浙江</a>

 <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1007/" title="浙江省" class="c1" target="_blank">浙江省</a> <a href="/tags/1114/" title="衢州" class="c1" target="_blank">衢州</a> <a href="/tags/1185/" title="浙江" class="c1" target="_blank">浙江</a>  <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1007/" title="浙江省" class="c1" target="_blank">浙江省</a> <a href="/tags/1114/" title="衢州" class="c1" target="_blank">衢州</a> <a href="/tags/1185/" title="浙江" class="c1" target="_blank">浙江</a> ,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/1114/" title="衢州" class="c1" target="_blank">衢州</a> <a href="/tags/1185/" title="浙江" class="c1" target="_blank">浙江</a>

 <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1007/" title="浙江省" class="c1" target="_blank">浙江省</a> <a href="/tags/1114/" title="衢州" class="c1" target="_blank">衢州</a> <a href="/tags/1185/" title="浙江" class="c1" target="_blank">浙江</a>  <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1007/" title="浙江省" class="c1" target="_blank">浙江省</a> <a href="/tags/1114/" title="衢州" class="c1" target="_blank">衢州</a> <a href="/tags/1185/" title="浙江" class="c1" target="_blank">浙江</a>

 <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1007/" title="浙江省" class="c1" target="_blank">浙江省</a> <a href="/tags/1114/" title="衢州" class="c1" target="_blank">衢州</a> <a href="/tags/1185/" title="浙江" class="c1" target="_blank">浙江</a>  <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1007/" title="浙江省" class="c1" target="_blank">浙江省</a> <a href="/tags/1114/" title="衢州" class="c1" target="_blank">衢州</a> <a href="/tags/1185/" title="浙江" class="c1" target="_blank">浙江</a>

 <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1007/" title="浙江省" class="c1" target="_blank">浙江省</a> <a href="/tags/1114/" title="衢州" class="c1" target="_blank">衢州</a> <a href="/tags/1185/" title="浙江" class="c1" target="_blank">浙江</a> 的解析式为 <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/1114/" title="衢州" class="c1" target="_blank">衢州</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/1114/" title="衢州" class="c1" target="_blank">衢州</a> <a href="/tags/1185/" title="浙江" class="c1" target="_blank">浙江</a> 代入 <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1007/" title="浙江省" class="c1" target="_blank">浙江省</a> <a href="/tags/1114/" title="衢州" class="c1" target="_blank">衢州</a> <a href="/tags/1185/" title="浙江" class="c1" target="_blank">浙江</a> ,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/1114/" title="衢州" class="c1" target="_blank">衢州</a> <a href="/tags/1185/" title="浙江" class="c1" target="_blank">浙江</a>

 <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1007/" title="浙江省" class="c1" target="_blank">浙江省</a> <a href="/tags/1114/" title="衢州" class="c1" target="_blank">衢州</a> <a href="/tags/1185/" title="浙江" class="c1" target="_blank">浙江</a>

同理由 <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/1114/" title="衢州" class="c1" target="_blank">衢州</a> <a href="/tags/1185/" title="浙江" class="c1" target="_blank">浙江</a>  <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1007/" title="浙江省" class="c1" target="_blank">浙江省</a> <a href="/tags/1114/" title="衢州" class="c1" target="_blank">衢州</a> <a href="/tags/1185/" title="浙江" class="c1" target="_blank">浙江</a> 4 <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1007/" title="浙江省" class="c1" target="_blank">浙江省</a> <a href="/tags/1114/" title="衢州" class="c1" target="_blank">衢州</a> <a href="/tags/1185/" title="浙江" class="c1" target="_blank">浙江</a> 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/1114/" title="衢州" class="c1" target="_blank">衢州</a> <a href="/tags/1185/" title="浙江" class="c1" target="_blank">浙江</a> 的解析式为 <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/1114/" title="衢州" class="c1" target="_blank">衢州</a> <a href="/tags/1185/" title="浙江" class="c1" target="_blank">浙江</a>

由题意: <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/1114/" title="衢州" class="c1" target="_blank">衢州</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/1114/" title="衢州" class="c1" target="_blank">衢州</a> <a href="/tags/1185/" title="浙江" class="c1" target="_blank">浙江</a>

 <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1007/" title="浙江省" class="c1" target="_blank">浙江省</a> <a href="/tags/1114/" title="衢州" class="c1" target="_blank">衢州</a> <a href="/tags/1185/" title="浙江" class="c1" target="_blank">浙江</a>

 <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1007/" title="浙江省" class="c1" target="_blank">浙江省</a> <a href="/tags/1114/" title="衢州" class="c1" target="_blank">衢州</a> <a href="/tags/1185/" title="浙江" class="c1" target="_blank">浙江</a> 货轮出发后8小时追上游轮.


相遇之前相距 <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1007/" title="浙江省" class="c1" target="_blank">浙江省</a> <a href="/tags/1114/" title="衢州" class="c1" target="_blank">衢州</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/1114/" title="衢州" class="c1" target="_blank">衢州</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/1114/" title="衢州" class="c1" target="_blank">衢州</a> <a href="/tags/1185/" title="浙江" class="c1" target="_blank">浙江</a>

相遇之后相距 <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1007/" title="浙江省" class="c1" target="_blank">浙江省</a> <a href="/tags/1114/" title="衢州" class="c1" target="_blank">衢州</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/1114/" title="衢州" class="c1" target="_blank">衢州</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/1114/" title="衢州" class="c1" target="_blank">衢州</a> <a href="/tags/1185/" title="浙江" class="c1" target="_blank">浙江</a>

 <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1007/" title="浙江省" class="c1" target="_blank">浙江省</a> <a href="/tags/1114/" title="衢州" class="c1" target="_blank">衢州</a> <a href="/tags/1185/" title="浙江" class="c1" target="_blank">浙江</a>  <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1007/" title="浙江省" class="c1" target="_blank">浙江省</a> <a href="/tags/1114/" title="衢州" class="c1" target="_blank">衢州</a> <a href="/tags/1185/" title="浙江" class="c1" target="_blank">浙江</a> 时游轮与货轮何时相距 <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1007/" title="浙江省" class="c1" target="_blank">浙江省</a> <a href="/tags/1114/" title="衢州" class="c1" target="_blank">衢州</a> <a href="/tags/1185/" title="浙江" class="c1" target="_blank">浙江</a>

【点评】本题考查一次函数的应用,解题的关键是读懂图象信息,熟练运用待定系数法解决问题,属于中考常考题型.

23.(10分)如图1,在平面直角坐标系中, <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/1114/" title="衢州" class="c1" target="_blank">衢州</a> <a href="/tags/1185/" title="浙江" class="c1" target="_blank">浙江</a> 的顶点 <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/1114/" title="衢州" class="c1" target="_blank">衢州</a> <a href="/tags/1185/" title="浙江" class="c1" target="_blank">浙江</a>  <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1007/" title="浙江省" class="c1" target="_blank">浙江省</a> <a href="/tags/1114/" title="衢州" class="c1" target="_blank">衢州</a> <a href="/tags/1185/" title="浙江" class="c1" target="_blank">浙江</a> 分別是直线 <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/1114/" title="衢州" class="c1" target="_blank">衢州</a> <a href="/tags/1185/" title="浙江" class="c1" target="_blank">浙江</a> 与坐标轴的交点,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/1114/" title="衢州" class="c1" target="_blank">衢州</a> <a href="/tags/1185/" title="浙江" class="c1" target="_blank">浙江</a> 的坐标为 <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/1114/" title="衢州" class="c1" target="_blank">衢州</a> <a href="/tags/1185/" title="浙江" class="c1" target="_blank">浙江</a> ,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/1114/" title="衢州" class="c1" target="_blank">衢州</a> <a href="/tags/1185/" title="浙江" class="c1" target="_blank">浙江</a> 是边 <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/1114/" title="衢州" class="c1" target="_blank">衢州</a> <a href="/tags/1185/" title="浙江" class="c1" target="_blank">浙江</a> 上的一点, <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/1114/" title="衢州" class="c1" target="_blank">衢州</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/1114/" title="衢州" class="c1" target="_blank">衢州</a> <a href="/tags/1185/" title="浙江" class="c1" target="_blank">浙江</a> ,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/1114/" title="衢州" class="c1" target="_blank">衢州</a> <a href="/tags/1185/" title="浙江" class="c1" target="_blank">浙江</a> 在边 <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/1114/" title="衢州" class="c1" target="_blank">衢州</a> <a href="/tags/1185/" title="浙江" class="c1" target="_blank">浙江</a> 上,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/1114/" title="衢州" class="c1" target="_blank">衢州</a> <a href="/tags/1185/" title="浙江" class="c1" target="_blank">浙江</a>  <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1007/" title="浙江省" class="c1" target="_blank">浙江省</a> <a href="/tags/1114/" title="衢州" class="c1" target="_blank">衢州</a> <a href="/tags/1185/" title="浙江" class="c1" target="_blank">浙江</a> 两点关于 <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/1114/" title="衢州" class="c1" target="_blank">衢州</a> <a href="/tags/1185/" title="浙江" class="c1" target="_blank">浙江</a> 轴上的某点成中心对称,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/1114/" title="衢州" class="c1" target="_blank">衢州</a> <a href="/tags/1185/" title="浙江" class="c1" target="_blank">浙江</a>  <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1007/" title="浙江省" class="c1" target="_blank">浙江省</a> <a href="/tags/1114/" title="衢州" class="c1" target="_blank">衢州</a> <a href="/tags/1185/" title="浙江" class="c1" target="_blank">浙江</a> .设点 <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/1114/" title="衢州" class="c1" target="_blank">衢州</a> <a href="/tags/1185/" title="浙江" class="c1" target="_blank">浙江</a> 的横坐标为 <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/1114/" title="衢州" class="c1" target="_blank">衢州</a> <a href="/tags/1185/" title="浙江" class="c1" target="_blank">浙江</a>  <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1007/" title="浙江省" class="c1" target="_blank">浙江省</a> <a href="/tags/1114/" title="衢州" class="c1" target="_blank">衢州</a> <a href="/tags/1185/" title="浙江" class="c1" target="_blank">浙江</a>  <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1007/" title="浙江省" class="c1" target="_blank">浙江省</a> <a href="/tags/1114/" title="衢州" class="c1" target="_blank">衢州</a> <a href="/tags/1185/" title="浙江" class="c1" target="_blank">浙江</a> ,请探究:

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/1114/" title="衢州" class="c1" target="_blank">衢州</a> <a href="/tags/1185/" title="浙江" class="c1" target="_blank">浙江</a> 长度是否有最小值.

 <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1007/" title="浙江省" class="c1" target="_blank">浙江省</a> <a href="/tags/1114/" title="衢州" class="c1" target="_blank">衢州</a> <a href="/tags/1185/" title="浙江" class="c1" target="_blank">浙江</a> 能否成为直角三角形.

小明尝试用“观察 <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1007/" title="浙江省" class="c1" target="_blank">浙江省</a> <a href="/tags/1114/" title="衢州" class="c1" target="_blank">衢州</a> <a href="/tags/1185/" title="浙江" class="c1" target="_blank">浙江</a> 猜想 <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1007/" title="浙江省" class="c1" target="_blank">浙江省</a> <a href="/tags/1114/" title="衢州" class="c1" target="_blank">衢州</a> <a href="/tags/1185/" title="浙江" class="c1" target="_blank">浙江</a> 验证 <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/1114/" title="衢州" class="c1" target="_blank">衢州</a> <a href="/tags/1185/" title="浙江" class="c1" target="_blank">浙江</a> 应用”的方法进行探究,请你一起来解决问题.

1)小明利用“几何画板”软件进行观察,测量,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/1114/" title="衢州" class="c1" target="_blank">衢州</a> <a href="/tags/1185/" title="浙江" class="c1" target="_blank">浙江</a>  <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1007/" title="浙江省" class="c1" target="_blank">浙江省</a> <a href="/tags/1114/" title="衢州" class="c1" target="_blank">衢州</a> <a href="/tags/1185/" title="浙江" class="c1" target="_blank">浙江</a> 变化的一组对应值,并在平面直角坐标系中以各对应值为坐标描点(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/1114/" title="衢州" class="c1" target="_blank">衢州</a> <a href="/tags/1185/" title="浙江" class="c1" target="_blank">浙江</a> .请你在图2中连线,观察图象特征并猜想 <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1007/" title="浙江省" class="c1" target="_blank">浙江省</a> <a href="/tags/1114/" title="衢州" class="c1" target="_blank">衢州</a> <a href="/tags/1185/" title="浙江" class="c1" target="_blank">浙江</a>  <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1007/" title="浙江省" class="c1" target="_blank">浙江省</a> <a href="/tags/1114/" title="衢州" class="c1" target="_blank">衢州</a> <a href="/tags/1185/" title="浙江" class="c1" target="_blank">浙江</a> 可能满足的函数类别.

2)小明结合图1,发现应用三角形和函数知识能验证(1)中的猜想,请你求出 <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/1114/" title="衢州" class="c1" target="_blank">衢州</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/1114/" title="衢州" class="c1" target="_blank">衢州</a> <a href="/tags/1185/" title="浙江" class="c1" target="_blank">浙江</a> 的函数表达式及自变量的取值范围,并求出线段 <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/1114/" title="衢州" class="c1" target="_blank">衢州</a> <a href="/tags/1185/" title="浙江" class="c1" target="_blank">浙江</a> 长度的最小值.

3)小明通过观察,推理,发现 <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1007/" title="浙江省" class="c1" target="_blank">浙江省</a> <a href="/tags/1114/" title="衢州" class="c1" target="_blank">衢州</a> <a href="/tags/1185/" title="浙江" class="c1" target="_blank">浙江</a> 能成为直角三角形,请你求出当 <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/1114/" title="衢州" class="c1" target="_blank">衢州</a> <a href="/tags/1185/" title="浙江" class="c1" target="_blank">浙江</a> 为直角三角形时 <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/1114/" title="衢州" class="c1" target="_blank">衢州</a> <a href="/tags/1185/" title="浙江" class="c1" target="_blank">浙江</a> 的值.

Shape54

【分析】1)根据描点法画图即可;

2)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/1114/" title="衢州" class="c1" target="_blank">衢州</a> <a href="/tags/1185/" title="浙江" class="c1" target="_blank">浙江</a>  <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1007/" title="浙江省" class="c1" target="_blank">浙江省</a> <a href="/tags/1114/" title="衢州" class="c1" target="_blank">衢州</a> <a href="/tags/1185/" title="浙江" class="c1" target="_blank">浙江</a> 分别作 <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/1114/" title="衢州" class="c1" target="_blank">衢州</a> <a href="/tags/1185/" title="浙江" class="c1" target="_blank">浙江</a>  <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1007/" title="浙江省" class="c1" target="_blank">浙江省</a> <a href="/tags/1114/" title="衢州" class="c1" target="_blank">衢州</a> <a href="/tags/1185/" title="浙江" class="c1" target="_blank">浙江</a> 垂直于 <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/1114/" title="衢州" class="c1" target="_blank">衢州</a> <a href="/tags/1185/" title="浙江" class="c1" target="_blank">浙江</a> 轴,垂足分别为 <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/1114/" title="衢州" class="c1" target="_blank">衢州</a> <a href="/tags/1185/" title="浙江" class="c1" target="_blank">浙江</a>  <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1007/" title="浙江省" class="c1" target="_blank">浙江省</a> <a href="/tags/1114/" title="衢州" class="c1" target="_blank">衢州</a> <a href="/tags/1185/" title="浙江" class="c1" target="_blank">浙江</a> ,证明 <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1007/" title="浙江省" class="c1" target="_blank">浙江省</a> <a href="/tags/1114/" title="衢州" class="c1" target="_blank">衢州</a> <a href="/tags/1185/" title="浙江" class="c1" target="_blank">浙江</a> ,由全等三角形的性质得出 <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/1114/" title="衢州" class="c1" target="_blank">衢州</a> <a href="/tags/1185/" title="浙江" class="c1" target="_blank">浙江</a> ,可求出 <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/1114/" title="衢州" class="c1" target="_blank">衢州</a> <a href="/tags/1185/" title="浙江" class="c1" target="_blank">浙江</a> ,根据勾股定理得出 <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/1114/" title="衢州" class="c1" target="_blank">衢州</a> <a href="/tags/1185/" title="浙江" class="c1" target="_blank">浙江</a> ,由二次函数的性质可得出答案;

3)分三种不同情况,根据直角三角形的性质得出 <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/1114/" title="衢州" class="c1" target="_blank">衢州</a> <a href="/tags/1185/" title="浙江" class="c1" target="_blank">浙江</a> 的方程,解方程求出 <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/1114/" title="衢州" class="c1" target="_blank">衢州</a> <a href="/tags/1185/" title="浙江" class="c1" target="_blank">浙江</a> 的值,则可求出答案.

【解答】解:(1)用描点法画出图形如图1,由图象可知函数类别为二次函数.

Shape55

2)如图2,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/1114/" title="衢州" class="c1" target="_blank">衢州</a> <a href="/tags/1185/" title="浙江" class="c1" target="_blank">浙江</a>  <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1007/" title="浙江省" class="c1" target="_blank">浙江省</a> <a href="/tags/1114/" title="衢州" class="c1" target="_blank">衢州</a> <a href="/tags/1185/" title="浙江" class="c1" target="_blank">浙江</a> 分别作 <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/1114/" title="衢州" class="c1" target="_blank">衢州</a> <a href="/tags/1185/" title="浙江" class="c1" target="_blank">浙江</a>  <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1007/" title="浙江省" class="c1" target="_blank">浙江省</a> <a href="/tags/1114/" title="衢州" class="c1" target="_blank">衢州</a> <a href="/tags/1185/" title="浙江" class="c1" target="_blank">浙江</a> 垂直于 <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/1114/" title="衢州" class="c1" target="_blank">衢州</a> <a href="/tags/1185/" title="浙江" class="c1" target="_blank">浙江</a> 轴,垂足分别为 <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/1114/" title="衢州" class="c1" target="_blank">衢州</a> <a href="/tags/1185/" title="浙江" class="c1" target="_blank">浙江</a>  <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1007/" title="浙江省" class="c1" target="_blank">浙江省</a> <a href="/tags/1114/" title="衢州" class="c1" target="_blank">衢州</a> <a href="/tags/1185/" title="浙江" class="c1" target="_blank">浙江</a>

Shape56

 <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1007/" title="浙江省" class="c1" target="_blank">浙江省</a> <a href="/tags/1114/" title="衢州" class="c1" target="_blank">衢州</a> <a href="/tags/1185/" title="浙江" class="c1" target="_blank">浙江</a>

 <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1007/" title="浙江省" class="c1" target="_blank">浙江省</a> <a href="/tags/1114/" title="衢州" class="c1" target="_blank">衢州</a> <a href="/tags/1185/" title="浙江" class="c1" target="_blank">浙江</a>  <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1007/" title="浙江省" class="c1" target="_blank">浙江省</a> <a href="/tags/1114/" title="衢州" class="c1" target="_blank">衢州</a> <a href="/tags/1185/" title="浙江" class="c1" target="_blank">浙江</a> 轴于点 <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/1114/" title="衢州" class="c1" target="_blank">衢州</a> <a href="/tags/1185/" title="浙江" class="c1" target="_blank">浙江</a>

 <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1007/" title="浙江省" class="c1" target="_blank">浙江省</a> <a href="/tags/1114/" title="衢州" class="c1" target="_blank">衢州</a> <a href="/tags/1185/" title="浙江" class="c1" target="_blank">浙江</a> 点与 <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/1114/" title="衢州" class="c1" target="_blank">衢州</a> <a href="/tags/1185/" title="浙江" class="c1" target="_blank">浙江</a> 点关于 <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/1114/" title="衢州" class="c1" target="_blank">衢州</a> <a href="/tags/1185/" title="浙江" class="c1" target="_blank">浙江</a> 轴上的 <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/1114/" title="衢州" class="c1" target="_blank">衢州</a> <a href="/tags/1185/" title="浙江" class="c1" target="_blank">浙江</a> 点成中心对称,

 <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1007/" title="浙江省" class="c1" target="_blank">浙江省</a> <a href="/tags/1114/" title="衢州" class="c1" target="_blank">衢州</a> <a href="/tags/1185/" title="浙江" class="c1" target="_blank">浙江</a>

 <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1007/" title="浙江省" class="c1" target="_blank">浙江省</a> <a href="/tags/1114/" title="衢州" class="c1" target="_blank">衢州</a> <a href="/tags/1185/" title="浙江" class="c1" target="_blank">浙江</a>

 <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1007/" title="浙江省" class="c1" target="_blank">浙江省</a> <a href="/tags/1114/" title="衢州" class="c1" target="_blank">衢州</a> <a href="/tags/1185/" title="浙江" class="c1" target="_blank">浙江</a>

 <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1007/" title="浙江省" class="c1" target="_blank">浙江省</a> <a href="/tags/1114/" title="衢州" class="c1" target="_blank">衢州</a> <a href="/tags/1185/" title="浙江" class="c1" target="_blank">浙江</a>

 <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1007/" title="浙江省" class="c1" target="_blank">浙江省</a> <a href="/tags/1114/" title="衢州" class="c1" target="_blank">衢州</a> <a href="/tags/1185/" title="浙江" class="c1" target="_blank">浙江</a> 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/1114/" title="衢州" class="c1" target="_blank">衢州</a> <a href="/tags/1185/" title="浙江" class="c1" target="_blank">浙江</a> 的解析式为 <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/1114/" title="衢州" class="c1" target="_blank">衢州</a> <a href="/tags/1185/" title="浙江" class="c1" target="_blank">浙江</a>

 <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1007/" title="浙江省" class="c1" target="_blank">浙江省</a> <a href="/tags/1114/" title="衢州" class="c1" target="_blank">衢州</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/1114/" title="衢州" class="c1" target="_blank">衢州</a> <a href="/tags/1185/" title="浙江" class="c1" target="_blank">浙江</a>

 <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1007/" title="浙江省" class="c1" target="_blank">浙江省</a> <a href="/tags/1114/" title="衢州" class="c1" target="_blank">衢州</a> <a href="/tags/1185/" title="浙江" class="c1" target="_blank">浙江</a>

 <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1007/" title="浙江省" class="c1" target="_blank">浙江省</a> <a href="/tags/1114/" title="衢州" class="c1" target="_blank">衢州</a> <a href="/tags/1185/" title="浙江" class="c1" target="_blank">浙江</a>

设直线 <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/1114/" title="衢州" class="c1" target="_blank">衢州</a> <a href="/tags/1185/" title="浙江" class="c1" target="_blank">浙江</a> 的解析式为 <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/1114/" title="衢州" class="c1" target="_blank">衢州</a> <a href="/tags/1185/" title="浙江" class="c1" target="_blank">浙江</a>

 <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1007/" title="浙江省" class="c1" target="_blank">浙江省</a> <a href="/tags/1114/" title="衢州" class="c1" target="_blank">衢州</a> <a href="/tags/1185/" title="浙江" class="c1" target="_blank">浙江</a>  <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1007/" title="浙江省" class="c1" target="_blank">浙江省</a> <a href="/tags/1114/" title="衢州" class="c1" target="_blank">衢州</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/1114/" title="衢州" class="c1" target="_blank">衢州</a> <a href="/tags/1185/" title="浙江" class="c1" target="_blank">浙江</a>

 <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1007/" title="浙江省" class="c1" target="_blank">浙江省</a> <a href="/tags/1114/" title="衢州" class="c1" target="_blank">衢州</a> <a href="/tags/1185/" title="浙江" class="c1" target="_blank">浙江</a> 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/1114/" title="衢州" class="c1" target="_blank">衢州</a> <a href="/tags/1185/" title="浙江" class="c1" target="_blank">浙江</a> 的解析式为 <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/1114/" title="衢州" class="c1" target="_blank">衢州</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/1114/" title="衢州" class="c1" target="_blank">衢州</a> <a href="/tags/1185/" title="浙江" class="c1" target="_blank">浙江</a>  <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1007/" title="浙江省" class="c1" target="_blank">浙江省</a> <a href="/tags/1114/" title="衢州" class="c1" target="_blank">衢州</a> <a href="/tags/1185/" title="浙江" class="c1" target="_blank">浙江</a> 轴于点 <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/1114/" title="衢州" class="c1" target="_blank">衢州</a> <a href="/tags/1185/" title="浙江" class="c1" target="_blank">浙江</a>

 <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1007/" title="浙江省" class="c1" target="_blank">浙江省</a> <a href="/tags/1114/" title="衢州" class="c1" target="_blank">衢州</a> <a href="/tags/1185/" title="浙江" class="c1" target="_blank">浙江</a> 点的橫坐标为 <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/1114/" title="衢州" class="c1" target="_blank">衢州</a> <a href="/tags/1185/" title="浙江" class="c1" target="_blank">浙江</a>

 <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1007/" title="浙江省" class="c1" target="_blank">浙江省</a> <a href="/tags/1114/" title="衢州" class="c1" target="_blank">衢州</a> <a href="/tags/1185/" title="浙江" class="c1" target="_blank">浙江</a>

 <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1007/" title="浙江省" class="c1" target="_blank">浙江省</a> <a href="/tags/1114/" title="衢州" class="c1" target="_blank">衢州</a> <a href="/tags/1185/" title="浙江" class="c1" target="_blank">浙江</a>  <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1007/" title="浙江省" class="c1" target="_blank">浙江省</a> <a href="/tags/1114/" title="衢州" class="c1" target="_blank">衢州</a> <a href="/tags/1185/" title="浙江" class="c1" target="_blank">浙江</a>

 <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1007/" title="浙江省" class="c1" target="_blank">浙江省</a> <a href="/tags/1114/" title="衢州" class="c1" target="_blank">衢州</a> <a href="/tags/1185/" title="浙江" class="c1" target="_blank">浙江</a>

 <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1007/" title="浙江省" class="c1" target="_blank">浙江省</a> <a href="/tags/1114/" title="衢州" class="c1" target="_blank">衢州</a> <a href="/tags/1185/" title="浙江" class="c1" target="_blank">浙江</a>

 <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1007/" title="浙江省" class="c1" target="_blank">浙江省</a> <a href="/tags/1114/" title="衢州" class="c1" target="_blank">衢州</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/1114/" title="衢州" class="c1" target="_blank">衢州</a> <a href="/tags/1185/" title="浙江" class="c1" target="_blank">浙江</a>

 <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1007/" title="浙江省" class="c1" target="_blank">浙江省</a> <a href="/tags/1114/" title="衢州" class="c1" target="_blank">衢州</a> <a href="/tags/1185/" title="浙江" class="c1" target="_blank">浙江</a>

 <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1007/" title="浙江省" class="c1" target="_blank">浙江省</a> <a href="/tags/1114/" title="衢州" class="c1" target="_blank">衢州</a> <a href="/tags/1185/" title="浙江" class="c1" target="_blank">浙江</a>  <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1007/" title="浙江省" class="c1" target="_blank">浙江省</a> <a href="/tags/1114/" title="衢州" class="c1" target="_blank">衢州</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/1114/" title="衢州" class="c1" target="_blank">衢州</a> <a href="/tags/1185/" title="浙江" class="c1" target="_blank">浙江</a> 的最小值为8

 <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1007/" title="浙江省" class="c1" target="_blank">浙江省</a> <a href="/tags/1114/" title="衢州" class="c1" target="_blank">衢州</a> <a href="/tags/1185/" title="浙江" class="c1" target="_blank">浙江</a> 的最小值为 <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/1114/" title="衢州" class="c1" target="_blank">衢州</a> <a href="/tags/1185/" title="浙江" class="c1" target="_blank">浙江</a>

3 <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1007/" title="浙江省" class="c1" target="_blank">浙江省</a> <a href="/tags/1114/" title="衢州" class="c1" target="_blank">衢州</a> <a href="/tags/1185/" title="浙江" class="c1" target="_blank">浙江</a> 为定角,不可能为直角.

 <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1007/" title="浙江省" class="c1" target="_blank">浙江省</a> <a href="/tags/1114/" title="衢州" class="c1" target="_blank">衢州</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/1114/" title="衢州" class="c1" target="_blank">衢州</a> <a href="/tags/1185/" title="浙江" class="c1" target="_blank">浙江</a> 点与 <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/1114/" title="衢州" class="c1" target="_blank">衢州</a> <a href="/tags/1185/" title="浙江" class="c1" target="_blank">浙江</a> 点重合, <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1007/" title="浙江省" class="c1" target="_blank">浙江省</a> <a href="/tags/1114/" title="衢州" class="c1" target="_blank">衢州</a> <a href="/tags/1185/" title="浙江" class="c1" target="_blank">浙江</a> 点与 <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/1114/" title="衢州" class="c1" target="_blank">衢州</a> <a href="/tags/1185/" title="浙江" class="c1" target="_blank">浙江</a> 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/1114/" title="衢州" class="c1" target="_blank">衢州</a> <a href="/tags/1185/" title="浙江" class="c1" target="_blank">浙江</a> 点重合,此时 <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/1114/" title="衢州" class="c1" target="_blank">衢州</a> <a href="/tags/1185/" title="浙江" class="c1" target="_blank">浙江</a>

如图3 <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1007/" title="浙江省" class="c1" target="_blank">浙江省</a> <a href="/tags/1114/" title="衢州" class="c1" target="_blank">衢州</a> <a href="/tags/1185/" title="浙江" class="c1" target="_blank">浙江</a> 时,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/1114/" title="衢州" class="c1" target="_blank">衢州</a> <a href="/tags/1185/" title="浙江" class="c1" target="_blank">浙江</a>

Shape57

由(2)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/1114/" title="衢州" class="c1" target="_blank">衢州</a> <a href="/tags/1185/" title="浙江" class="c1" target="_blank">浙江</a>

 <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1007/" title="浙江省" class="c1" target="_blank">浙江省</a> <a href="/tags/1114/" title="衢州" class="c1" target="_blank">衢州</a> <a href="/tags/1185/" title="浙江" class="c1" target="_blank">浙江</a>  <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1007/" title="浙江省" class="c1" target="_blank">浙江省</a> <a href="/tags/1114/" title="衢州" class="c1" target="_blank">衢州</a> <a href="/tags/1185/" title="浙江" class="c1" target="_blank">浙江</a>

 <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1007/" title="浙江省" class="c1" target="_blank">浙江省</a> <a href="/tags/1114/" title="衢州" class="c1" target="_blank">衢州</a> <a href="/tags/1185/" title="浙江" class="c1" target="_blank">浙江</a>

 <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1007/" title="浙江省" class="c1" target="_blank">浙江省</a> <a href="/tags/1114/" title="衢州" class="c1" target="_blank">衢州</a> <a href="/tags/1185/" title="浙江" class="c1" target="_blank">浙江</a>

 <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1007/" title="浙江省" class="c1" target="_blank">浙江省</a> <a href="/tags/1114/" title="衢州" class="c1" target="_blank">衢州</a> <a href="/tags/1185/" title="浙江" class="c1" target="_blank">浙江</a>

化简得, <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/1114/" title="衢州" class="c1" target="_blank">衢州</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/1114/" title="衢州" class="c1" target="_blank">衢州</a> <a href="/tags/1185/" title="浙江" class="c1" target="_blank">浙江</a>  <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1007/" title="浙江省" class="c1" target="_blank">浙江省</a> <a href="/tags/1114/" title="衢州" class="c1" target="_blank">衢州</a> <a href="/tags/1185/" title="浙江" class="c1" target="_blank">浙江</a> (不合题意,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/1114/" title="衢州" class="c1" target="_blank">衢州</a> <a href="/tags/1185/" title="浙江" class="c1" target="_blank">浙江</a>

综合以上可得,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/1114/" title="衢州" class="c1" target="_blank">衢州</a> <a href="/tags/1185/" title="浙江" class="c1" target="_blank">浙江</a> 为直角三角形时, <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/1114/" title="衢州" class="c1" target="_blank">衢州</a> <a href="/tags/1185/" title="浙江" class="c1" target="_blank">浙江</a>  <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1007/" title="浙江省" class="c1" target="_blank">浙江省</a> <a href="/tags/1114/" title="衢州" class="c1" target="_blank">衢州</a> <a href="/tags/1185/" title="浙江" class="c1" target="_blank">浙江</a>

【点评】本题是一次函数综合题,考查了描点法画函数图象,待定系数法,全等三角形的判定与性质,坐标与图形的性质,二次函数的性质,勾股定理,中心对称的性质,直角三角形的性质等知识,熟练掌握方程思想及分类讨论思想是解题的关键.

24.(12分)【性质探究】

如图,在矩形 <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/1114/" title="衢州" class="c1" target="_blank">衢州</a> <a href="/tags/1185/" title="浙江" class="c1" target="_blank">浙江</a> 中,对角线 <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/1114/" title="衢州" class="c1" target="_blank">衢州</a> <a href="/tags/1185/" title="浙江" class="c1" target="_blank">浙江</a>  <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1007/" title="浙江省" class="c1" target="_blank">浙江省</a> <a href="/tags/1114/" title="衢州" class="c1" target="_blank">衢州</a> <a href="/tags/1185/" title="浙江" class="c1" target="_blank">浙江</a> 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/1114/" title="衢州" class="c1" target="_blank">衢州</a> <a href="/tags/1185/" title="浙江" class="c1" target="_blank">浙江</a>  <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1007/" title="浙江省" class="c1" target="_blank">浙江省</a> <a href="/tags/1114/" title="衢州" class="c1" target="_blank">衢州</a> <a href="/tags/1185/" title="浙江" class="c1" target="_blank">浙江</a> 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/1114/" title="衢州" class="c1" target="_blank">衢州</a> <a href="/tags/1185/" title="浙江" class="c1" target="_blank">浙江</a> ,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/1114/" title="衢州" class="c1" target="_blank">衢州</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/1114/" title="衢州" class="c1" target="_blank">衢州</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/1114/" title="衢州" class="c1" target="_blank">衢州</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/1114/" title="衢州" class="c1" target="_blank">衢州</a> <a href="/tags/1185/" title="浙江" class="c1" target="_blank">浙江</a> ,分别交 <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/1114/" title="衢州" class="c1" target="_blank">衢州</a> <a href="/tags/1185/" title="浙江" class="c1" target="_blank">浙江</a>  <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1007/" title="浙江省" class="c1" target="_blank">浙江省</a> <a href="/tags/1114/" title="衢州" class="c1" target="_blank">衢州</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/1114/" title="衢州" class="c1" target="_blank">衢州</a> <a href="/tags/1185/" title="浙江" class="c1" target="_blank">浙江</a>  <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1007/" title="浙江省" class="c1" target="_blank">浙江省</a> <a href="/tags/1114/" title="衢州" class="c1" target="_blank">衢州</a> <a href="/tags/1185/" title="浙江" class="c1" target="_blank">浙江</a>

1)判断 <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1007/" title="浙江省" class="c1" target="_blank">浙江省</a> <a href="/tags/1114/" title="衢州" class="c1" target="_blank">衢州</a> <a href="/tags/1185/" title="浙江" class="c1" target="_blank">浙江</a> 的形状并说明理由.

2)求证: <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/1114/" title="衢州" class="c1" target="_blank">衢州</a> <a href="/tags/1185/" title="浙江" class="c1" target="_blank">浙江</a>

【迁移应用】

3)记 <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1007/" title="浙江省" class="c1" target="_blank">浙江省</a> <a href="/tags/1114/" title="衢州" class="c1" target="_blank">衢州</a> <a href="/tags/1185/" title="浙江" class="c1" target="_blank">浙江</a> 的面积为 <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/1114/" title="衢州" class="c1" target="_blank">衢州</a> <a href="/tags/1185/" title="浙江" class="c1" target="_blank">浙江</a>  <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1007/" title="浙江省" class="c1" target="_blank">浙江省</a> <a href="/tags/1114/" title="衢州" class="c1" target="_blank">衢州</a> <a href="/tags/1185/" title="浙江" class="c1" target="_blank">浙江</a> 的面积为 <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/1114/" title="衢州" class="c1" target="_blank">衢州</a> <a href="/tags/1185/" title="浙江" class="c1" target="_blank">浙江</a> ,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/1114/" title="衢州" class="c1" target="_blank">衢州</a> <a href="/tags/1185/" title="浙江" class="c1" target="_blank">浙江</a> 时,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/1114/" title="衢州" class="c1" target="_blank">衢州</a> <a href="/tags/1185/" title="浙江" class="c1" target="_blank">浙江</a> 的值.

【拓展延伸】

4)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/1114/" title="衢州" class="c1" target="_blank">衢州</a> <a href="/tags/1185/" title="浙江" class="c1" target="_blank">浙江</a> 交射线 <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/1114/" title="衢州" class="c1" target="_blank">衢州</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/1114/" title="衢州" class="c1" target="_blank">衢州</a> <a href="/tags/1185/" title="浙江" class="c1" target="_blank">浙江</a> ,【性质探究】中的其余条件不变,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/1114/" title="衢州" class="c1" target="_blank">衢州</a> <a href="/tags/1185/" title="浙江" class="c1" target="_blank">浙江</a> ,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/1114/" title="衢州" class="c1" target="_blank">衢州</a> <a href="/tags/1185/" title="浙江" class="c1" target="_blank">浙江</a> 的面积为矩形 <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/1114/" title="衢州" class="c1" target="_blank">衢州</a> <a href="/tags/1185/" title="浙江" class="c1" target="_blank">浙江</a> 面积的 <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/1114/" title="衢州" class="c1" target="_blank">衢州</a> <a href="/tags/1185/" title="浙江" class="c1" target="_blank">浙江</a> 时,请直接写出 <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/1114/" title="衢州" class="c1" target="_blank">衢州</a> <a href="/tags/1185/" title="浙江" class="c1" target="_blank">浙江</a> 的值.

Shape58

【分析】1)如图1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/1114/" title="衢州" class="c1" target="_blank">衢州</a> <a href="/tags/1185/" title="浙江" class="c1" target="_blank">浙江</a> 是等腰三角形.利用全等三角形的性质证明即可.

2)如图2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/1114/" title="衢州" class="c1" target="_blank">衢州</a> <a href="/tags/1185/" title="浙江" class="c1" target="_blank">浙江</a>  <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1007/" title="浙江省" class="c1" target="_blank">浙江省</a> <a href="/tags/1114/" title="衢州" class="c1" target="_blank">衢州</a> <a href="/tags/1185/" title="浙江" class="c1" target="_blank">浙江</a>  <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1007/" title="浙江省" class="c1" target="_blank">浙江省</a> <a href="/tags/1114/" title="衢州" class="c1" target="_blank">衢州</a> <a href="/tags/1185/" title="浙江" class="c1" target="_blank">浙江</a>  <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1007/" title="浙江省" class="c1" target="_blank">浙江省</a> <a href="/tags/1114/" title="衢州" class="c1" target="_blank">衢州</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/1114/" title="衢州" class="c1" target="_blank">衢州</a> <a href="/tags/1185/" title="浙江" class="c1" target="_blank">浙江</a> .首先证明 <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1007/" title="浙江省" class="c1" target="_blank">浙江省</a> <a href="/tags/1114/" title="衢州" class="c1" target="_blank">衢州</a> <a href="/tags/1185/" title="浙江" class="c1" target="_blank">浙江</a> ,再证明 <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1007/" title="浙江省" class="c1" target="_blank">浙江省</a> <a href="/tags/1114/" title="衢州" class="c1" target="_blank">衢州</a> <a href="/tags/1185/" title="浙江" class="c1" target="_blank">浙江</a> 即可解决问题.

3)如图3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/1114/" title="衢州" class="c1" target="_blank">衢州</a> <a href="/tags/1185/" title="浙江" class="c1" target="_blank">浙江</a>  <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1007/" title="浙江省" class="c1" target="_blank">浙江省</a> <a href="/tags/1114/" title="衢州" class="c1" target="_blank">衢州</a> <a href="/tags/1185/" title="浙江" class="c1" target="_blank">浙江</a>  <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1007/" title="浙江省" class="c1" target="_blank">浙江省</a> <a href="/tags/1114/" title="衢州" class="c1" target="_blank">衢州</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/1114/" title="衢州" class="c1" target="_blank">衢州</a> <a href="/tags/1185/" title="浙江" class="c1" target="_blank">浙江</a> ,利用相似三角形的性质解决问题即可.

4)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/1114/" title="衢州" class="c1" target="_blank">衢州</a> <a href="/tags/1185/" title="浙江" class="c1" target="_blank">浙江</a>  <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1007/" title="浙江省" class="c1" target="_blank">浙江省</a> <a href="/tags/1114/" title="衢州" class="c1" target="_blank">衢州</a> <a href="/tags/1185/" title="浙江" class="c1" target="_blank">浙江</a> .分两种情形:如图4中,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/1114/" title="衢州" class="c1" target="_blank">衢州</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/1114/" title="衢州" class="c1" target="_blank">衢州</a> <a href="/tags/1185/" title="浙江" class="c1" target="_blank">浙江</a> 在线段 <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/1114/" title="衢州" class="c1" target="_blank">衢州</a> <a href="/tags/1185/" title="浙江" class="c1" target="_blank">浙江</a> 上时,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/1114/" title="衢州" class="c1" target="_blank">衢州</a> <a href="/tags/1185/" title="浙江" class="c1" target="_blank">浙江</a>  <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1007/" title="浙江省" class="c1" target="_blank">浙江省</a> <a href="/tags/1114/" title="衢州" class="c1" target="_blank">衢州</a> <a href="/tags/1185/" title="浙江" class="c1" target="_blank">浙江</a> 上.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/1114/" title="衢州" class="c1" target="_blank">衢州</a> <a href="/tags/1185/" title="浙江" class="c1" target="_blank">浙江</a>  <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1007/" title="浙江省" class="c1" target="_blank">浙江省</a> <a href="/tags/1114/" title="衢州" class="c1" target="_blank">衢州</a> <a href="/tags/1185/" title="浙江" class="c1" target="_blank">浙江</a> 的延长线上时,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/1114/" title="衢州" class="c1" target="_blank">衢州</a> <a href="/tags/1185/" title="浙江" class="c1" target="_blank">浙江</a> 在线段 <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/1114/" title="衢州" class="c1" target="_blank">衢州</a> <a href="/tags/1185/" title="浙江" class="c1" target="_blank">浙江</a> 上,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/1114/" title="衢州" class="c1" target="_blank">衢州</a> <a href="/tags/1185/" title="浙江" class="c1" target="_blank">浙江</a> .分别求解即可解决问题.

【解答】1)解:如图1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/1114/" title="衢州" class="c1" target="_blank">衢州</a> <a href="/tags/1185/" title="浙江" class="c1" target="_blank">浙江</a> 是等腰三角形.

Shape59

理由: <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/1114/" title="衢州" class="c1" target="_blank">衢州</a> <a href="/tags/1185/" title="浙江" class="c1" target="_blank">浙江</a> 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/1114/" title="衢州" class="c1" target="_blank">衢州</a> <a href="/tags/1185/" title="浙江" class="c1" target="_blank">浙江</a>

 <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1007/" title="浙江省" class="c1" target="_blank">浙江省</a> <a href="/tags/1114/" title="衢州" class="c1" target="_blank">衢州</a> <a href="/tags/1185/" title="浙江" class="c1" target="_blank">浙江</a>

 <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1007/" title="浙江省" class="c1" target="_blank">浙江省</a> <a href="/tags/1114/" title="衢州" class="c1" target="_blank">衢州</a> <a href="/tags/1185/" title="浙江" class="c1" target="_blank">浙江</a>

 <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1007/" title="浙江省" class="c1" target="_blank">浙江省</a> <a href="/tags/1114/" title="衢州" class="c1" target="_blank">衢州</a> <a href="/tags/1185/" title="浙江" class="c1" target="_blank">浙江</a>

 <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1007/" title="浙江省" class="c1" target="_blank">浙江省</a> <a href="/tags/1114/" title="衢州" class="c1" target="_blank">衢州</a> <a href="/tags/1185/" title="浙江" class="c1" target="_blank">浙江</a>

 <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1007/" title="浙江省" class="c1" target="_blank">浙江省</a> <a href="/tags/1114/" title="衢州" class="c1" target="_blank">衢州</a> <a href="/tags/1185/" title="浙江" class="c1" target="_blank">浙江</a>

 <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1007/" title="浙江省" class="c1" target="_blank">浙江省</a> <a href="/tags/1114/" title="衢州" class="c1" target="_blank">衢州</a> <a href="/tags/1185/" title="浙江" class="c1" target="_blank">浙江</a>

 <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1007/" title="浙江省" class="c1" target="_blank">浙江省</a> <a href="/tags/1114/" title="衢州" class="c1" target="_blank">衢州</a> <a href="/tags/1185/" title="浙江" class="c1" target="_blank">浙江</a> 是等腰三角形.


2)证明:如图2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/1114/" title="衢州" class="c1" target="_blank">衢州</a> <a href="/tags/1185/" title="浙江" class="c1" target="_blank">浙江</a>  <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1007/" title="浙江省" class="c1" target="_blank">浙江省</a> <a href="/tags/1114/" title="衢州" class="c1" target="_blank">衢州</a> <a href="/tags/1185/" title="浙江" class="c1" target="_blank">浙江</a>  <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1007/" title="浙江省" class="c1" target="_blank">浙江省</a> <a href="/tags/1114/" title="衢州" class="c1" target="_blank">衢州</a> <a href="/tags/1185/" title="浙江" class="c1" target="_blank">浙江</a>  <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1007/" title="浙江省" class="c1" target="_blank">浙江省</a> <a href="/tags/1114/" title="衢州" class="c1" target="_blank">衢州</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/1114/" title="衢州" class="c1" target="_blank">衢州</a> <a href="/tags/1185/" title="浙江" class="c1" target="_blank">浙江</a>

Shape60

 <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1007/" title="浙江省" class="c1" target="_blank">浙江省</a> <a href="/tags/1114/" title="衢州" class="c1" target="_blank">衢州</a> <a href="/tags/1185/" title="浙江" class="c1" target="_blank">浙江</a>

 <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1007/" title="浙江省" class="c1" target="_blank">浙江省</a> <a href="/tags/1114/" title="衢州" class="c1" target="_blank">衢州</a> <a href="/tags/1185/" title="浙江" class="c1" target="_blank">浙江</a>

 <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1007/" title="浙江省" class="c1" target="_blank">浙江省</a> <a href="/tags/1114/" title="衢州" class="c1" target="_blank">衢州</a> <a href="/tags/1185/" title="浙江" class="c1" target="_blank">浙江</a>

 <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1007/" title="浙江省" class="c1" target="_blank">浙江省</a> <a href="/tags/1114/" title="衢州" class="c1" target="_blank">衢州</a> <a href="/tags/1185/" title="浙江" class="c1" target="_blank">浙江</a>

 <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1007/" title="浙江省" class="c1" target="_blank">浙江省</a> <a href="/tags/1114/" title="衢州" class="c1" target="_blank">衢州</a> <a href="/tags/1185/" title="浙江" class="c1" target="_blank">浙江</a>

 <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1007/" title="浙江省" class="c1" target="_blank">浙江省</a> <a href="/tags/1114/" title="衢州" class="c1" target="_blank">衢州</a> <a href="/tags/1185/" title="浙江" class="c1" target="_blank">浙江</a>

 <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1007/" title="浙江省" class="c1" target="_blank">浙江省</a> <a href="/tags/1114/" title="衢州" class="c1" target="_blank">衢州</a> <a href="/tags/1185/" title="浙江" class="c1" target="_blank">浙江</a>

 <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1007/" title="浙江省" class="c1" target="_blank">浙江省</a> <a href="/tags/1114/" title="衢州" class="c1" target="_blank">衢州</a> <a href="/tags/1185/" title="浙江" class="c1" target="_blank">浙江</a>  <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1007/" title="浙江省" class="c1" target="_blank">浙江省</a> <a href="/tags/1114/" title="衢州" class="c1" target="_blank">衢州</a> <a href="/tags/1185/" title="浙江" class="c1" target="_blank">浙江</a>

 <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1007/" title="浙江省" class="c1" target="_blank">浙江省</a> <a href="/tags/1114/" title="衢州" class="c1" target="_blank">衢州</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/1114/" title="衢州" class="c1" target="_blank">衢州</a> <a href="/tags/1185/" title="浙江" class="c1" target="_blank">浙江</a> 是矩形,

 <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/1114/" title="衢州" class="c1" target="_blank">衢州</a> <a href="/tags/1185/" title="浙江" class="c1" target="_blank">浙江</a>

 <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1007/" title="浙江省" class="c1" target="_blank">浙江省</a> <a href="/tags/1114/" title="衢州" class="c1" target="_blank">衢州</a> <a href="/tags/1185/" title="浙江" class="c1" target="_blank">浙江</a>

 <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1007/" title="浙江省" class="c1" target="_blank">浙江省</a> <a href="/tags/1114/" title="衢州" class="c1" target="_blank">衢州</a> <a href="/tags/1185/" title="浙江" class="c1" target="_blank">浙江</a>


3)解:如图3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/1114/" title="衢州" class="c1" target="_blank">衢州</a> <a href="/tags/1185/" title="浙江" class="c1" target="_blank">浙江</a>  <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1007/" title="浙江省" class="c1" target="_blank">浙江省</a> <a href="/tags/1114/" title="衢州" class="c1" target="_blank">衢州</a> <a href="/tags/1185/" title="浙江" class="c1" target="_blank">浙江</a>  <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1007/" title="浙江省" class="c1" target="_blank">浙江省</a> <a href="/tags/1114/" title="衢州" class="c1" target="_blank">衢州</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/1114/" title="衢州" class="c1" target="_blank">衢州</a> <a href="/tags/1185/" title="浙江" class="c1" target="_blank">浙江</a>

Shape61

 <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1007/" title="浙江省" class="c1" target="_blank">浙江省</a> <a href="/tags/1114/" title="衢州" class="c1" target="_blank">衢州</a> <a href="/tags/1185/" title="浙江" class="c1" target="_blank">浙江</a>

 <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1007/" title="浙江省" class="c1" target="_blank">浙江省</a> <a href="/tags/1114/" title="衢州" class="c1" target="_blank">衢州</a> <a href="/tags/1185/" title="浙江" class="c1" target="_blank">浙江</a>

 <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1007/" title="浙江省" class="c1" target="_blank">浙江省</a> <a href="/tags/1114/" title="衢州" class="c1" target="_blank">衢州</a> <a href="/tags/1185/" title="浙江" class="c1" target="_blank">浙江</a>  <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1007/" title="浙江省" class="c1" target="_blank">浙江省</a> <a href="/tags/1114/" title="衢州" class="c1" target="_blank">衢州</a> <a href="/tags/1185/" title="浙江" class="c1" target="_blank">浙江</a>

 <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1007/" title="浙江省" class="c1" target="_blank">浙江省</a> <a href="/tags/1114/" title="衢州" class="c1" target="_blank">衢州</a> <a href="/tags/1185/" title="浙江" class="c1" target="_blank">浙江</a>  <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1007/" title="浙江省" class="c1" target="_blank">浙江省</a> <a href="/tags/1114/" title="衢州" class="c1" target="_blank">衢州</a> <a href="/tags/1185/" title="浙江" class="c1" target="_blank">浙江</a>

 <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1007/" title="浙江省" class="c1" target="_blank">浙江省</a> <a href="/tags/1114/" title="衢州" class="c1" target="_blank">衢州</a> <a href="/tags/1185/" title="浙江" class="c1" target="_blank">浙江</a>  <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1007/" title="浙江省" class="c1" target="_blank">浙江省</a> <a href="/tags/1114/" title="衢州" class="c1" target="_blank">衢州</a> <a href="/tags/1185/" title="浙江" class="c1" target="_blank">浙江</a>

 <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1007/" title="浙江省" class="c1" target="_blank">浙江省</a> <a href="/tags/1114/" title="衢州" class="c1" target="_blank">衢州</a> <a href="/tags/1185/" title="浙江" class="c1" target="_blank">浙江</a>  <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1007/" title="浙江省" class="c1" target="_blank">浙江省</a> <a href="/tags/1114/" title="衢州" class="c1" target="_blank">衢州</a> <a href="/tags/1185/" title="浙江" class="c1" target="_blank">浙江</a> ,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/1114/" title="衢州" class="c1" target="_blank">衢州</a> <a href="/tags/1185/" title="浙江" class="c1" target="_blank">浙江</a>  <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1007/" title="浙江省" class="c1" target="_blank">浙江省</a> <a href="/tags/1114/" title="衢州" class="c1" target="_blank">衢州</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/1114/" title="衢州" class="c1" target="_blank">衢州</a> <a href="/tags/1185/" title="浙江" class="c1" target="_blank">浙江</a>

 <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1007/" title="浙江省" class="c1" target="_blank">浙江省</a> <a href="/tags/1114/" title="衢州" class="c1" target="_blank">衢州</a> <a href="/tags/1185/" title="浙江" class="c1" target="_blank">浙江</a>  <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1007/" title="浙江省" class="c1" target="_blank">浙江省</a> <a href="/tags/1114/" title="衢州" class="c1" target="_blank">衢州</a> <a href="/tags/1185/" title="浙江" class="c1" target="_blank">浙江</a>


4)解: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/1114/" title="衢州" class="c1" target="_blank">衢州</a> <a href="/tags/1185/" title="浙江" class="c1" target="_blank">浙江</a>  <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1007/" title="浙江省" class="c1" target="_blank">浙江省</a> <a href="/tags/1114/" title="衢州" class="c1" target="_blank">衢州</a> <a href="/tags/1185/" title="浙江" class="c1" target="_blank">浙江</a>

如图4中,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/1114/" title="衢州" class="c1" target="_blank">衢州</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/1114/" title="衢州" class="c1" target="_blank">衢州</a> <a href="/tags/1185/" title="浙江" class="c1" target="_blank">浙江</a> 在线段 <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/1114/" title="衢州" class="c1" target="_blank">衢州</a> <a href="/tags/1185/" title="浙江" class="c1" target="_blank">浙江</a> 上时,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/1114/" title="衢州" class="c1" target="_blank">衢州</a> <a href="/tags/1185/" title="浙江" class="c1" target="_blank">浙江</a>  <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1007/" title="浙江省" class="c1" target="_blank">浙江省</a> <a href="/tags/1114/" title="衢州" class="c1" target="_blank">衢州</a> <a href="/tags/1185/" title="浙江" class="c1" target="_blank">浙江</a> 上.

Shape62

 <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1007/" title="浙江省" class="c1" target="_blank">浙江省</a> <a href="/tags/1114/" title="衢州" class="c1" target="_blank">衢州</a> <a href="/tags/1185/" title="浙江" class="c1" target="_blank">浙江</a>  <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1007/" title="浙江省" class="c1" target="_blank">浙江省</a> <a href="/tags/1114/" title="衢州" class="c1" target="_blank">衢州</a> <a href="/tags/1185/" title="浙江" class="c1" target="_blank">浙江</a>

 <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1007/" title="浙江省" class="c1" target="_blank">浙江省</a> <a href="/tags/1114/" title="衢州" class="c1" target="_blank">衢州</a> <a href="/tags/1185/" title="浙江" class="c1" target="_blank">浙江</a>  <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1007/" title="浙江省" class="c1" target="_blank">浙江省</a> <a href="/tags/1114/" title="衢州" class="c1" target="_blank">衢州</a> <a href="/tags/1185/" title="浙江" class="c1" target="_blank">浙江</a>

 <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1007/" title="浙江省" class="c1" target="_blank">浙江省</a> <a href="/tags/1114/" title="衢州" class="c1" target="_blank">衢州</a> <a href="/tags/1185/" title="浙江" class="c1" target="_blank">浙江</a>  <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1007/" title="浙江省" class="c1" target="_blank">浙江省</a> <a href="/tags/1114/" title="衢州" class="c1" target="_blank">衢州</a> <a href="/tags/1185/" title="浙江" class="c1" target="_blank">浙江</a>

 <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1007/" title="浙江省" class="c1" target="_blank">浙江省</a> <a href="/tags/1114/" title="衢州" class="c1" target="_blank">衢州</a> <a href="/tags/1185/" title="浙江" class="c1" target="_blank">浙江</a>

 <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1007/" title="浙江省" class="c1" target="_blank">浙江省</a> <a href="/tags/1114/" title="衢州" class="c1" target="_blank">衢州</a> <a href="/tags/1185/" title="浙江" class="c1" target="_blank">浙江</a>  <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1007/" title="浙江省" class="c1" target="_blank">浙江省</a> <a href="/tags/1114/" title="衢州" class="c1" target="_blank">衢州</a> <a href="/tags/1185/" title="浙江" class="c1" target="_blank">浙江</a>

 <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1007/" title="浙江省" class="c1" target="_blank">浙江省</a> <a href="/tags/1114/" title="衢州" class="c1" target="_blank">衢州</a> <a href="/tags/1185/" title="浙江" class="c1" target="_blank">浙江</a>

 <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1007/" title="浙江省" class="c1" target="_blank">浙江省</a> <a href="/tags/1114/" title="衢州" class="c1" target="_blank">衢州</a> <a href="/tags/1185/" title="浙江" class="c1" target="_blank">浙江</a>  <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1007/" title="浙江省" class="c1" target="_blank">浙江省</a> <a href="/tags/1114/" title="衢州" class="c1" target="_blank">衢州</a> <a href="/tags/1185/" title="浙江" class="c1" target="_blank">浙江</a>

 <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1007/" title="浙江省" class="c1" target="_blank">浙江省</a> <a href="/tags/1114/" title="衢州" class="c1" target="_blank">衢州</a> <a href="/tags/1185/" title="浙江" class="c1" target="_blank">浙江</a>  <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1007/" title="浙江省" class="c1" target="_blank">浙江省</a> <a href="/tags/1114/" title="衢州" class="c1" target="_blank">衢州</a> <a href="/tags/1185/" title="浙江" class="c1" target="_blank">浙江</a>

 <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1007/" title="浙江省" class="c1" target="_blank">浙江省</a> <a href="/tags/1114/" title="衢州" class="c1" target="_blank">衢州</a> <a href="/tags/1185/" title="浙江" class="c1" target="_blank">浙江</a>

由题意: <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/1114/" title="衢州" class="c1" target="_blank">衢州</a> <a href="/tags/1185/" title="浙江" class="c1" target="_blank">浙江</a>

 <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1007/" title="浙江省" class="c1" target="_blank">浙江省</a> <a href="/tags/1114/" title="衢州" class="c1" target="_blank">衢州</a> <a href="/tags/1185/" title="浙江" class="c1" target="_blank">浙江</a>

 <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1007/" title="浙江省" class="c1" target="_blank">浙江省</a> <a href="/tags/1114/" title="衢州" class="c1" target="_blank">衢州</a> <a href="/tags/1185/" title="浙江" class="c1" target="_blank">浙江</a>

 <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1007/" title="浙江省" class="c1" target="_blank">浙江省</a> <a href="/tags/1114/" title="衢州" class="c1" target="_blank">衢州</a> <a href="/tags/1185/" title="浙江" class="c1" target="_blank">浙江</a>

 <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1007/" title="浙江省" class="c1" target="_blank">浙江省</a> <a href="/tags/1114/" title="衢州" class="c1" target="_blank">衢州</a> <a href="/tags/1185/" title="浙江" class="c1" target="_blank">浙江</a>

 <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1007/" title="浙江省" class="c1" target="_blank">浙江省</a> <a href="/tags/1114/" title="衢州" class="c1" target="_blank">衢州</a> <a href="/tags/1185/" title="浙江" class="c1" target="_blank">浙江</a>  <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1007/" title="浙江省" class="c1" target="_blank">浙江省</a> <a href="/tags/1114/" title="衢州" class="c1" target="_blank">衢州</a> <a href="/tags/1185/" title="浙江" class="c1" target="_blank">浙江</a>

 <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1007/" title="浙江省" class="c1" target="_blank">浙江省</a> <a href="/tags/1114/" title="衢州" class="c1" target="_blank">衢州</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/1114/" title="衢州" class="c1" target="_blank">衢州</a> <a href="/tags/1185/" title="浙江" class="c1" target="_blank">浙江</a>  <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1007/" title="浙江省" class="c1" target="_blank">浙江省</a> <a href="/tags/1114/" title="衢州" class="c1" target="_blank">衢州</a> <a href="/tags/1185/" title="浙江" class="c1" target="_blank">浙江</a> 的延长线上时,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/1114/" title="衢州" class="c1" target="_blank">衢州</a> <a href="/tags/1185/" title="浙江" class="c1" target="_blank">浙江</a> 在线段 <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/1114/" title="衢州" class="c1" target="_blank">衢州</a> <a href="/tags/1185/" title="浙江" class="c1" target="_blank">浙江</a> 上,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/1114/" title="衢州" class="c1" target="_blank">衢州</a> <a href="/tags/1185/" title="浙江" class="c1" target="_blank">浙江</a>

Shape63

 <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1007/" title="浙江省" class="c1" target="_blank">浙江省</a> <a href="/tags/1114/" title="衢州" class="c1" target="_blank">衢州</a> <a href="/tags/1185/" title="浙江" class="c1" target="_blank">浙江</a>  <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1007/" title="浙江省" class="c1" target="_blank">浙江省</a> <a href="/tags/1114/" title="衢州" class="c1" target="_blank">衢州</a> <a href="/tags/1185/" title="浙江" class="c1" target="_blank">浙江</a>

 <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1007/" title="浙江省" class="c1" target="_blank">浙江省</a> <a href="/tags/1114/" title="衢州" class="c1" target="_blank">衢州</a> <a href="/tags/1185/" title="浙江" class="c1" target="_blank">浙江</a>  <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1007/" title="浙江省" class="c1" target="_blank">浙江省</a> <a href="/tags/1114/" title="衢州" class="c1" target="_blank">衢州</a> <a href="/tags/1185/" title="浙江" class="c1" target="_blank">浙江</a>

 <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1007/" title="浙江省" class="c1" target="_blank">浙江省</a> <a href="/tags/1114/" title="衢州" class="c1" target="_blank">衢州</a> <a href="/tags/1185/" title="浙江" class="c1" target="_blank">浙江</a>  <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1007/" title="浙江省" class="c1" target="_blank">浙江省</a> <a href="/tags/1114/" title="衢州" class="c1" target="_blank">衢州</a> <a href="/tags/1185/" title="浙江" class="c1" target="_blank">浙江</a>

 <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1007/" title="浙江省" class="c1" target="_blank">浙江省</a> <a href="/tags/1114/" title="衢州" class="c1" target="_blank">衢州</a> <a href="/tags/1185/" title="浙江" class="c1" target="_blank">浙江</a>

 <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1007/" title="浙江省" class="c1" target="_blank">浙江省</a> <a href="/tags/1114/" title="衢州" class="c1" target="_blank">衢州</a> <a href="/tags/1185/" title="浙江" class="c1" target="_blank">浙江</a>  <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1007/" title="浙江省" class="c1" target="_blank">浙江省</a> <a href="/tags/1114/" title="衢州" class="c1" target="_blank">衢州</a> <a href="/tags/1185/" title="浙江" class="c1" target="_blank">浙江</a>

 <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1007/" title="浙江省" class="c1" target="_blank">浙江省</a> <a href="/tags/1114/" title="衢州" class="c1" target="_blank">衢州</a> <a href="/tags/1185/" title="浙江" class="c1" target="_blank">浙江</a>

 <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1007/" title="浙江省" class="c1" target="_blank">浙江省</a> <a href="/tags/1114/" title="衢州" class="c1" target="_blank">衢州</a> <a href="/tags/1185/" title="浙江" class="c1" target="_blank">浙江</a>  <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1007/" title="浙江省" class="c1" target="_blank">浙江省</a> <a href="/tags/1114/" title="衢州" class="c1" target="_blank">衢州</a> <a href="/tags/1185/" title="浙江" class="c1" target="_blank">浙江</a>

 <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1007/" title="浙江省" class="c1" target="_blank">浙江省</a> <a href="/tags/1114/" title="衢州" class="c1" target="_blank">衢州</a> <a href="/tags/1185/" title="浙江" class="c1" target="_blank">浙江</a>  <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1007/" title="浙江省" class="c1" target="_blank">浙江省</a> <a href="/tags/1114/" title="衢州" class="c1" target="_blank">衢州</a> <a href="/tags/1185/" title="浙江" class="c1" target="_blank">浙江</a>

 <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1007/" title="浙江省" class="c1" target="_blank">浙江省</a> <a href="/tags/1114/" title="衢州" class="c1" target="_blank">衢州</a> <a href="/tags/1185/" title="浙江" class="c1" target="_blank">浙江</a>

由题意: <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/1114/" title="衢州" class="c1" target="_blank">衢州</a> <a href="/tags/1185/" title="浙江" class="c1" target="_blank">浙江</a>

 <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1007/" title="浙江省" class="c1" target="_blank">浙江省</a> <a href="/tags/1114/" title="衢州" class="c1" target="_blank">衢州</a> <a href="/tags/1185/" title="浙江" class="c1" target="_blank">浙江</a>

 <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1007/" title="浙江省" class="c1" target="_blank">浙江省</a> <a href="/tags/1114/" title="衢州" class="c1" target="_blank">衢州</a> <a href="/tags/1185/" title="浙江" class="c1" target="_blank">浙江</a>

 <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1007/" title="浙江省" class="c1" target="_blank">浙江省</a> <a href="/tags/1114/" title="衢州" class="c1" target="_blank">衢州</a> <a href="/tags/1185/" title="浙江" class="c1" target="_blank">浙江</a>

 <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1007/" title="浙江省" class="c1" target="_blank">浙江省</a> <a href="/tags/1114/" title="衢州" class="c1" target="_blank">衢州</a> <a href="/tags/1185/" title="浙江" class="c1" target="_blank">浙江</a>

 <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1007/" title="浙江省" class="c1" target="_blank">浙江省</a> <a href="/tags/1114/" title="衢州" class="c1" target="_blank">衢州</a> <a href="/tags/1185/" title="浙江" class="c1" target="_blank">浙江</a>  <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1007/" title="浙江省" class="c1" target="_blank">浙江省</a> <a href="/tags/1114/" title="衢州" class="c1" target="_blank">衢州</a> <a href="/tags/1185/" title="浙江" class="c1" target="_blank">浙江</a>

 <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1007/" title="浙江省" class="c1" target="_blank">浙江省</a> <a href="/tags/1114/" title="衢州" class="c1" target="_blank">衢州</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/1114/" title="衢州" class="c1" target="_blank">衢州</a> <a href="/tags/1185/" title="浙江" class="c1" target="_blank">浙江</a> 的值为 <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/1114/" title="衢州" class="c1" target="_blank">衢州</a> <a href="/tags/1185/" title="浙江" class="c1" target="_blank">浙江</a>  <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1007/" title="浙江省" class="c1" target="_blank">浙江省</a> <a href="/tags/1114/" title="衢州" class="c1" target="_blank">衢州</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,全等三角形的判定和性质,相似三角形的判定和性质,解直角三角形等知识,解题的关键是学会用分类讨论的思想思考问题,学会利用参数构建方程解决问题,属于中考压轴题.