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【330370】2020年浙江省湖州市中考数学试卷

时间:2025-02-09 11:11:34 作者: 字数:28916字

2020年浙江省湖州市中考数学试卷

一、选择题(本题有10小题,每小题3分,共30分)下面每小题给出的四个选项中,只有一个是正确的.请选出各题中一个最符合题意的选项,并在答题卷上将相应题次中对应字母的方框涂黑,不选、多选、错选均不给分.

1.(3分)数4的算术平方根是 <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/1087/" title="湖州" class="c1" target="_blank">湖州</a> <a href="/tags/1185/" title="浙江" class="c1" target="_blank">浙江</a>    <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1007/" title="浙江省" class="c1" target="_blank">浙江省</a> <a href="/tags/1087/" title="湖州" class="c1" target="_blank">湖州</a> <a href="/tags/1185/" title="浙江" class="c1" target="_blank">浙江</a>

A2 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/1087/" title="湖州" class="c1" target="_blank">湖州</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/1087/" title="湖州" class="c1" target="_blank">湖州</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/1087/" title="湖州" class="c1" target="_blank">湖州</a> <a href="/tags/1185/" title="浙江" class="c1" target="_blank">浙江</a>

2.(3分)近几年来,我国经济规模不断扩大,综合国力显著增强.2019年我国国内生产总值约991000亿元,则数991000用科学记数法可表示为 <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1007/" title="浙江省" class="c1" target="_blank">浙江省</a> <a href="/tags/1087/" title="湖州" class="c1" target="_blank">湖州</a> <a href="/tags/1185/" title="浙江" class="c1" target="_blank">浙江</a>    <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1007/" title="浙江省" class="c1" target="_blank">浙江省</a> <a href="/tags/1087/" title="湖州" class="c1" target="_blank">湖州</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/1087/" title="湖州" class="c1" target="_blank">湖州</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/1087/" title="湖州" class="c1" target="_blank">湖州</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/1087/" title="湖州" class="c1" target="_blank">湖州</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/1087/" title="湖州" class="c1" target="_blank">湖州</a> <a href="/tags/1185/" title="浙江" class="c1" target="_blank">浙江</a>

3.(3分)已知某几何体的三视图如图所示,则该几何体可能是 <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/1087/" title="湖州" class="c1" target="_blank">湖州</a> <a href="/tags/1185/" title="浙江" class="c1" target="_blank">浙江</a>    <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1007/" title="浙江省" class="c1" target="_blank">浙江省</a> <a href="/tags/1087/" title="湖州" class="c1" target="_blank">湖州</a> <a href="/tags/1185/" title="浙江" class="c1" target="_blank">浙江</a>

Shape1

AShape2 BShape3 CShape4 DShape5

4.(3分)如图,已知四边形 <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1007/" title="浙江省" class="c1" target="_blank">浙江省</a> <a href="/tags/1087/" title="湖州" class="c1" target="_blank">湖州</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/1087/" title="湖州" class="c1" target="_blank">湖州</a> <a href="/tags/1185/" title="浙江" class="c1" target="_blank">浙江</a>  <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1007/" title="浙江省" class="c1" target="_blank">浙江省</a> <a href="/tags/1087/" title="湖州" class="c1" target="_blank">湖州</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/1087/" title="湖州" class="c1" target="_blank">湖州</a> <a href="/tags/1185/" title="浙江" class="c1" target="_blank">浙江</a> 的度数是 <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/1087/" title="湖州" class="c1" target="_blank">湖州</a> <a href="/tags/1185/" title="浙江" class="c1" target="_blank">浙江</a>    <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1007/" title="浙江省" class="c1" target="_blank">浙江省</a> <a href="/tags/1087/" title="湖州" class="c1" target="_blank">湖州</a> <a href="/tags/1185/" title="浙江" class="c1" target="_blank">浙江</a>

Shape6

A <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1007/" title="浙江省" class="c1" target="_blank">浙江省</a> <a href="/tags/1087/" title="湖州" class="c1" target="_blank">湖州</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/1087/" title="湖州" class="c1" target="_blank">湖州</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/1087/" title="湖州" class="c1" target="_blank">湖州</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/1087/" title="湖州" class="c1" target="_blank">湖州</a> <a href="/tags/1185/" title="浙江" class="c1" target="_blank">浙江</a>

5.(3分)数据 <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1007/" title="浙江省" class="c1" target="_blank">浙江省</a> <a href="/tags/1087/" title="湖州" class="c1" target="_blank">湖州</a> <a href="/tags/1185/" title="浙江" class="c1" target="_blank">浙江</a> 0344的平均数是 <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/1087/" title="湖州" class="c1" target="_blank">湖州</a> <a href="/tags/1185/" title="浙江" class="c1" target="_blank">浙江</a>    <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1007/" title="浙江省" class="c1" target="_blank">浙江省</a> <a href="/tags/1087/" title="湖州" class="c1" target="_blank">湖州</a> <a href="/tags/1185/" title="浙江" class="c1" target="_blank">浙江</a>

A4 B3 C2.5 D2

6.(3分)已知关于 <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/1087/" title="湖州" class="c1" target="_blank">湖州</a> <a href="/tags/1185/" title="浙江" class="c1" target="_blank">浙江</a> 的一元二次方程 <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/1087/" title="湖州" class="c1" target="_blank">湖州</a> <a href="/tags/1185/" title="浙江" class="c1" target="_blank">浙江</a> ,则下列关于该方程根的判断,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/1087/" title="湖州" class="c1" target="_blank">湖州</a> <a href="/tags/1185/" title="浙江" class="c1" target="_blank">浙江</a>    <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1007/" title="浙江省" class="c1" target="_blank">浙江省</a> <a href="/tags/1087/" title="湖州" class="c1" target="_blank">湖州</a> <a href="/tags/1185/" title="浙江" class="c1" target="_blank">浙江</a>

A.有两个不相等的实数根

B.有两个相等的实数根

C.没有实数根

D.实数根的个数与实数 <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/1087/" title="湖州" class="c1" target="_blank">湖州</a> <a href="/tags/1185/" title="浙江" class="c1" target="_blank">浙江</a> 的取值有关

7.(3分)四边形具有不稳定性,对于四条边长确定的四边形.当内角度数发生变化时,其形状也会随之改变.如图,改变正方形 <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/1087/" title="湖州" class="c1" target="_blank">湖州</a> <a href="/tags/1185/" title="浙江" class="c1" target="_blank">浙江</a> 的内角,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/1087/" title="湖州" class="c1" target="_blank">湖州</a> <a href="/tags/1185/" title="浙江" class="c1" target="_blank">浙江</a> 变为菱形 <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1007/" title="浙江省" class="c1" target="_blank">浙江省</a> <a href="/tags/1087/" title="湖州" class="c1" target="_blank">湖州</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/1087/" title="湖州" class="c1" target="_blank">湖州</a> <a href="/tags/1185/" title="浙江" class="c1" target="_blank">浙江</a> ,则菱形 <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1007/" title="浙江省" class="c1" target="_blank">浙江省</a> <a href="/tags/1087/" title="湖州" class="c1" target="_blank">湖州</a> <a href="/tags/1185/" title="浙江" class="c1" target="_blank">浙江</a> 的面积与正方形 <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/1087/" title="湖州" class="c1" target="_blank">湖州</a> <a href="/tags/1185/" title="浙江" class="c1" target="_blank">浙江</a> 的面积之比是 <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/1087/" title="湖州" class="c1" target="_blank">湖州</a> <a href="/tags/1185/" title="浙江" class="c1" target="_blank">浙江</a>    <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1007/" title="浙江省" class="c1" target="_blank">浙江省</a> <a href="/tags/1087/" title="湖州" class="c1" target="_blank">湖州</a> <a href="/tags/1185/" title="浙江" class="c1" target="_blank">浙江</a>

Shape7

A1 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/1087/" title="湖州" class="c1" target="_blank">湖州</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/1087/" title="湖州" class="c1" target="_blank">湖州</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/1087/" title="湖州" class="c1" target="_blank">湖州</a> <a href="/tags/1185/" title="浙江" class="c1" target="_blank">浙江</a>

8.(3分)已知在平面直角坐标系 <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1007/" title="浙江省" class="c1" target="_blank">浙江省</a> <a href="/tags/1087/" title="湖州" class="c1" target="_blank">湖州</a> <a href="/tags/1185/" title="浙江" class="c1" target="_blank">浙江</a> 中,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/1087/" title="湖州" class="c1" target="_blank">湖州</a> <a href="/tags/1185/" title="浙江" class="c1" target="_blank">浙江</a> 和直线 <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/1087/" title="湖州" class="c1" target="_blank">湖州</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/1087/" title="湖州" class="c1" target="_blank">湖州</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/1087/" title="湖州" class="c1" target="_blank">湖州</a> <a href="/tags/1185/" title="浙江" class="c1" target="_blank">浙江</a> 和点 <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/1087/" title="湖州" class="c1" target="_blank">湖州</a> <a href="/tags/1185/" title="浙江" class="c1" target="_blank">浙江</a> .则下列直线中,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/1087/" title="湖州" class="c1" target="_blank">湖州</a> <a href="/tags/1185/" title="浙江" class="c1" target="_blank">浙江</a> 轴的交点不在线段 <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/1087/" title="湖州" class="c1" target="_blank">湖州</a> <a href="/tags/1185/" title="浙江" class="c1" target="_blank">浙江</a> 上的直线是 <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/1087/" title="湖州" class="c1" target="_blank">湖州</a> <a href="/tags/1185/" title="浙江" class="c1" target="_blank">浙江</a>    <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1007/" title="浙江省" class="c1" target="_blank">浙江省</a> <a href="/tags/1087/" title="湖州" class="c1" target="_blank">湖州</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/1087/" title="湖州" class="c1" target="_blank">湖州</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/1087/" title="湖州" class="c1" target="_blank">湖州</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/1087/" title="湖州" class="c1" target="_blank">湖州</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/1087/" title="湖州" class="c1" target="_blank">湖州</a> <a href="/tags/1185/" title="浙江" class="c1" target="_blank">浙江</a>

9.(3分)如图,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/1087/" title="湖州" class="c1" target="_blank">湖州</a> <a href="/tags/1185/" title="浙江" class="c1" target="_blank">浙江</a>  <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1007/" title="浙江省" class="c1" target="_blank">浙江省</a> <a href="/tags/1087/" title="湖州" class="c1" target="_blank">湖州</a> <a href="/tags/1185/" title="浙江" class="c1" target="_blank">浙江</a> 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/1087/" title="湖州" class="c1" target="_blank">湖州</a> <a href="/tags/1185/" title="浙江" class="c1" target="_blank">浙江</a> 上的高线, <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/1087/" title="湖州" class="c1" target="_blank">湖州</a> <a href="/tags/1185/" title="浙江" class="c1" target="_blank">浙江</a> .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/1087/" title="湖州" class="c1" target="_blank">湖州</a> <a href="/tags/1185/" title="浙江" class="c1" target="_blank">浙江</a> 为圆心, <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1007/" title="浙江省" class="c1" target="_blank">浙江省</a> <a href="/tags/1087/" title="湖州" class="c1" target="_blank">湖州</a> <a href="/tags/1185/" title="浙江" class="c1" target="_blank">浙江</a> 为半径的圆交 <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/1087/" title="湖州" class="c1" target="_blank">湖州</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/1087/" title="湖州" class="c1" target="_blank">湖州</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/1087/" title="湖州" class="c1" target="_blank">湖州</a> <a href="/tags/1185/" title="浙江" class="c1" target="_blank">浙江</a>  <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1007/" title="浙江省" class="c1" target="_blank">浙江省</a> <a href="/tags/1087/" title="湖州" class="c1" target="_blank">湖州</a> <a href="/tags/1185/" title="浙江" class="c1" target="_blank">浙江</a> 的切线 <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/1087/" title="湖州" class="c1" target="_blank">湖州</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/1087/" title="湖州" class="c1" target="_blank">湖州</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/1087/" title="湖州" class="c1" target="_blank">湖州</a> <a href="/tags/1185/" title="浙江" class="c1" target="_blank">浙江</a> .则下列结论中错误的是 <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/1087/" title="湖州" class="c1" target="_blank">湖州</a> <a href="/tags/1185/" title="浙江" class="c1" target="_blank">浙江</a>    <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1007/" title="浙江省" class="c1" target="_blank">浙江省</a> <a href="/tags/1087/" title="湖州" class="c1" target="_blank">湖州</a> <a href="/tags/1185/" title="浙江" class="c1" target="_blank">浙江</a>

Shape8

A <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1007/" title="浙江省" class="c1" target="_blank">浙江省</a> <a href="/tags/1087/" title="湖州" class="c1" target="_blank">湖州</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/1087/" title="湖州" class="c1" target="_blank">湖州</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/1087/" title="湖州" class="c1" target="_blank">湖州</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/1087/" title="湖州" class="c1" target="_blank">湖州</a> <a href="/tags/1185/" title="浙江" class="c1" target="_blank">浙江</a>

10.(3分)七巧板是我国祖先的一项卓越创造,流行于世界各地.由边长为2的正方形可以制作一副中国七巧板或一副日本七巧板,如图1所示.分别用这两副七巧板试拼如图2中的平行四边形或矩形,则这两个图形中,中国七巧板和日本七巧板能拼成的个数分别是 <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/1087/" title="湖州" class="c1" target="_blank">湖州</a> <a href="/tags/1185/" title="浙江" class="c1" target="_blank">浙江</a>    <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1007/" title="浙江省" class="c1" target="_blank">浙江省</a> <a href="/tags/1087/" title="湖州" class="c1" target="_blank">湖州</a> <a href="/tags/1185/" title="浙江" class="c1" target="_blank">浙江</a>

Shape9

A11 B12 C21 D22

二、填空题(本题有6小题,每小题4分,共24分)

11.(4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/1087/" title="湖州" class="c1" target="_blank">湖州</a> <a href="/tags/1185/" title="浙江" class="c1" target="_blank">浙江</a>   

12.(4分)化简: <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1007/" title="浙江省" class="c1" target="_blank">浙江省</a> <a href="/tags/1087/" title="湖州" class="c1" target="_blank">湖州</a> <a href="/tags/1185/" title="浙江" class="c1" target="_blank">浙江</a>   

13.(4分)如图,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/1087/" title="湖州" class="c1" target="_blank">湖州</a> <a href="/tags/1185/" title="浙江" class="c1" target="_blank">浙江</a> 是半圆 <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1007/" title="浙江省" class="c1" target="_blank">浙江省</a> <a href="/tags/1087/" title="湖州" class="c1" target="_blank">湖州</a> <a href="/tags/1185/" title="浙江" class="c1" target="_blank">浙江</a> 的直径,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/1087/" title="湖州" class="c1" target="_blank">湖州</a> <a href="/tags/1185/" title="浙江" class="c1" target="_blank">浙江</a>  <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1007/" title="浙江省" class="c1" target="_blank">浙江省</a> <a href="/tags/1087/" title="湖州" class="c1" target="_blank">湖州</a> <a href="/tags/1185/" title="浙江" class="c1" target="_blank">浙江</a>  <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1007/" title="浙江省" class="c1" target="_blank">浙江省</a> <a href="/tags/1087/" title="湖州" class="c1" target="_blank">湖州</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/1087/" title="湖州" class="c1" target="_blank">湖州</a> <a href="/tags/1185/" title="浙江" class="c1" target="_blank">浙江</a>  <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1007/" title="浙江省" class="c1" target="_blank">浙江省</a> <a href="/tags/1087/" title="湖州" class="c1" target="_blank">湖州</a> <a href="/tags/1185/" title="浙江" class="c1" target="_blank">浙江</a> 之间的距离是  

Shape10

14.(4分)在一个布袋里放有1个白球和2个红球,它们除颜色外其余都相同,从布袋里摸出1个球,记下颜色后放回,搅匀,再摸出1个球.将2个红球分别记为红Ⅰ,红Ⅱ,两次摸球的所有可能的结果如表所示,

第二次

第一次

红Ⅰ

红Ⅱ

白,白

白,红Ⅰ

白,红Ⅱ

红Ⅰ

红Ⅰ,白

红Ⅰ,红Ⅰ

红Ⅰ,红Ⅱ

红Ⅱ

红Ⅱ,白

红Ⅱ,红Ⅰ

红Ⅱ,红Ⅱ

则两次摸出的球都是红球的概率是  

15.(4分)在每个小正方形的边长为1的网格图形中,每个小正方形的顶点称为格点,顶点都是格点的三角形称为格点三角形.如图,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/1087/" title="湖州" class="c1" target="_blank">湖州</a> <a href="/tags/1185/" title="浙江" class="c1" target="_blank">浙江</a>  <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1007/" title="浙江省" class="c1" target="_blank">浙江省</a> <a href="/tags/1087/" title="湖州" class="c1" target="_blank">湖州</a> <a href="/tags/1185/" title="浙江" class="c1" target="_blank">浙江</a> 网格图形中的格点三角形,则该图中所有与 <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/1087/" title="湖州" class="c1" target="_blank">湖州</a> <a href="/tags/1185/" title="浙江" class="c1" target="_blank">浙江</a> 相似的格点三角形中.面积最大的三角形的斜边长是  

Shape11

16.(4分)如图,已知在平面直角坐标系 <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1007/" title="浙江省" class="c1" target="_blank">浙江省</a> <a href="/tags/1087/" title="湖州" class="c1" target="_blank">湖州</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/1087/" title="湖州" class="c1" target="_blank">湖州</a> <a href="/tags/1185/" title="浙江" class="c1" target="_blank">浙江</a> 的直角顶点 <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/1087/" title="湖州" class="c1" target="_blank">湖州</a> <a href="/tags/1185/" title="浙江" class="c1" target="_blank">浙江</a>  <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1007/" title="浙江省" class="c1" target="_blank">浙江省</a> <a href="/tags/1087/" title="湖州" class="c1" target="_blank">湖州</a> <a href="/tags/1185/" title="浙江" class="c1" target="_blank">浙江</a> 轴的正半轴上,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/1087/" title="湖州" class="c1" target="_blank">湖州</a> <a href="/tags/1185/" title="浙江" class="c1" target="_blank">浙江</a> 在第一象限,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/1087/" title="湖州" class="c1" target="_blank">湖州</a> <a href="/tags/1185/" title="浙江" class="c1" target="_blank">浙江</a> 的图象经过 <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/1087/" title="湖州" class="c1" target="_blank">湖州</a> <a href="/tags/1185/" title="浙江" class="c1" target="_blank">浙江</a> 的中点 <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1007/" title="浙江省" class="c1" target="_blank">浙江省</a> <a href="/tags/1087/" title="湖州" class="c1" target="_blank">湖州</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/1087/" title="湖州" class="c1" target="_blank">湖州</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/1087/" title="湖州" class="c1" target="_blank">湖州</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/1087/" title="湖州" class="c1" target="_blank">湖州</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/1087/" title="湖州" class="c1" target="_blank">湖州</a> <a href="/tags/1185/" title="浙江" class="c1" target="_blank">浙江</a> 的面积是2,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/1087/" title="湖州" class="c1" target="_blank">湖州</a> <a href="/tags/1185/" title="浙江" class="c1" target="_blank">浙江</a> 的值是  

Shape12

三、解答题(本题有8小题,共66分)

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/1087/" title="湖州" class="c1" target="_blank">湖州</a> <a href="/tags/1185/" title="浙江" class="c1" target="_blank">浙江</a>

18.(6分)解不等式组 <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/1087/" title="湖州" class="c1" target="_blank">湖州</a> <a href="/tags/1185/" title="浙江" class="c1" target="_blank">浙江</a>

19.(6分)有一种升降熨烫台如图1所示,其原理是通过改变两根支撑杆夹角的度数来调整熨烫台的高度.图2是这种升降熨烫台的平面示意图. <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/1087/" title="湖州" class="c1" target="_blank">湖州</a> <a href="/tags/1185/" title="浙江" class="c1" target="_blank">浙江</a>  <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1007/" title="浙江省" class="c1" target="_blank">浙江省</a> <a href="/tags/1087/" title="湖州" class="c1" target="_blank">湖州</a> <a href="/tags/1185/" title="浙江" class="c1" target="_blank">浙江</a> 是两根相同长度的活动支撑杆,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/1087/" title="湖州" class="c1" target="_blank">湖州</a> <a href="/tags/1185/" title="浙江" class="c1" target="_blank">浙江</a> 是它们的连接点, <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/1087/" title="湖州" class="c1" target="_blank">湖州</a> <a href="/tags/1185/" title="浙江" class="c1" target="_blank">浙江</a>  <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1007/" title="浙江省" class="c1" target="_blank">浙江省</a> <a href="/tags/1087/" title="湖州" class="c1" target="_blank">湖州</a> <a href="/tags/1185/" title="浙江" class="c1" target="_blank">浙江</a> 表示熨烫台的高度.

1)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/1087/" title="湖州" class="c1" target="_blank">湖州</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/1087/" title="湖州" class="c1" target="_blank">湖州</a> <a href="/tags/1185/" title="浙江" class="c1" target="_blank">浙江</a>  <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1007/" title="浙江省" class="c1" target="_blank">浙江省</a> <a href="/tags/1087/" title="湖州" class="c1" target="_blank">湖州</a> <a href="/tags/1185/" title="浙江" class="c1" target="_blank">浙江</a> ,求 <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1007/" title="浙江省" class="c1" target="_blank">浙江省</a> <a href="/tags/1087/" title="湖州" class="c1" target="_blank">湖州</a> <a href="/tags/1185/" title="浙江" class="c1" target="_blank">浙江</a> 的值;

2)爱动脑筋的小明发现,当家里这种升降熨烫台的高度为 <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1007/" title="浙江省" class="c1" target="_blank">浙江省</a> <a href="/tags/1087/" title="湖州" class="c1" target="_blank">湖州</a> <a href="/tags/1185/" title="浙江" class="c1" target="_blank">浙江</a> 时,两根支撑杆的夹角 <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/1087/" title="湖州" class="c1" target="_blank">湖州</a> <a href="/tags/1185/" title="浙江" class="c1" target="_blank">浙江</a>  <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1007/" title="浙江省" class="c1" target="_blank">浙江省</a> <a href="/tags/1087/" title="湖州" class="c1" target="_blank">湖州</a> <a href="/tags/1185/" title="浙江" class="c1" target="_blank">浙江</a> (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/1087/" title="湖州" class="c1" target="_blank">湖州</a> <a href="/tags/1185/" title="浙江" class="c1" target="_blank">浙江</a> .求该熨烫台支撑杆 <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/1087/" title="湖州" class="c1" target="_blank">湖州</a> <a href="/tags/1185/" title="浙江" class="c1" target="_blank">浙江</a> 的长度(结果精确到 <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1007/" title="浙江省" class="c1" target="_blank">浙江省</a> <a href="/tags/1087/" title="湖州" class="c1" target="_blank">湖州</a> <a href="/tags/1185/" title="浙江" class="c1" target="_blank">浙江</a>

(参考数据: <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1007/" title="浙江省" class="c1" target="_blank">浙江省</a> <a href="/tags/1087/" title="湖州" class="c1" target="_blank">湖州</a> <a href="/tags/1185/" title="浙江" class="c1" target="_blank">浙江</a>  <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1007/" title="浙江省" class="c1" target="_blank">浙江省</a> <a href="/tags/1087/" title="湖州" class="c1" target="_blank">湖州</a> <a href="/tags/1185/" title="浙江" class="c1" target="_blank">浙江</a>  <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1007/" title="浙江省" class="c1" target="_blank">浙江省</a> <a href="/tags/1087/" title="湖州" class="c1" target="_blank">湖州</a> <a href="/tags/1185/" title="浙江" class="c1" target="_blank">浙江</a>  <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1007/" title="浙江省" class="c1" target="_blank">浙江省</a> <a href="/tags/1087/" title="湖州" class="c1" target="_blank">湖州</a> <a href="/tags/1185/" title="浙江" class="c1" target="_blank">浙江</a>  <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1007/" title="浙江省" class="c1" target="_blank">浙江省</a> <a href="/tags/1087/" title="湖州" class="c1" target="_blank">湖州</a> <a href="/tags/1185/" title="浙江" class="c1" target="_blank">浙江</a>

Shape13

20.(8分)为了解学生对网上在线学习效果的满意度,某校设置了:非常满意、满意、基本满意、不满意四个选项,随机抽查了部分学生,要求每名学生都只选其中的一项,并将抽查结果绘制成如图统计图(不完整).

Shape14

请根据图中信息解答下列问题:

1)求被抽查的学生人数,并补全条形统计图;(温馨提示:请画在答题卷相对应的图上)

2)求扇形统计图中表示“满意”的扇形的圆心角度数;

3)若该校共有1000名学生参与网上在线学习,根据抽查结果,试估计该校对学习效果的满意度是“非常满意”或“满意”的学生共有多少人?

21.(8分)如图,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/1087/" title="湖州" class="c1" target="_blank">湖州</a> <a href="/tags/1185/" title="浙江" class="c1" target="_blank">浙江</a>  <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1007/" title="浙江省" class="c1" target="_blank">浙江省</a> <a href="/tags/1087/" title="湖州" class="c1" target="_blank">湖州</a> <a href="/tags/1185/" title="浙江" class="c1" target="_blank">浙江</a> 的内接三角形, <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/1087/" title="湖州" class="c1" target="_blank">湖州</a> <a href="/tags/1185/" title="浙江" class="c1" target="_blank">浙江</a>  <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1007/" title="浙江省" class="c1" target="_blank">浙江省</a> <a href="/tags/1087/" title="湖州" class="c1" target="_blank">湖州</a> <a href="/tags/1185/" title="浙江" class="c1" target="_blank">浙江</a> 的直径,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/1087/" title="湖州" class="c1" target="_blank">湖州</a> <a href="/tags/1185/" title="浙江" class="c1" target="_blank">浙江</a>  <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1007/" title="浙江省" class="c1" target="_blank">浙江省</a> <a href="/tags/1087/" title="湖州" class="c1" target="_blank">湖州</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/1087/" title="湖州" class="c1" target="_blank">湖州</a> <a href="/tags/1185/" title="浙江" class="c1" target="_blank">浙江</a>

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/1087/" title="湖州" class="c1" target="_blank">湖州</a> <a href="/tags/1185/" title="浙江" class="c1" target="_blank">浙江</a>

2)若 <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1007/" title="浙江省" class="c1" target="_blank">浙江省</a> <a href="/tags/1087/" title="湖州" class="c1" target="_blank">湖州</a> <a href="/tags/1185/" title="浙江" class="c1" target="_blank">浙江</a> ,求 <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1007/" title="浙江省" class="c1" target="_blank">浙江省</a> <a href="/tags/1087/" title="湖州" class="c1" target="_blank">湖州</a> <a href="/tags/1185/" title="浙江" class="c1" target="_blank">浙江</a> 的长.

Shape15

22.(10分)某企业承接了27000件产品的生产任务,计划安排甲、乙两个车间的共50名工人,合作生产20天完成.已知甲、乙两个车间利用现有设备,工人的工作效率为:甲车间每人每天生产25件,乙车间每人每天生产30件.

1)求甲、乙两个车间各有多少名工人参与生产?

2)为了提前完成生产任务,该企业设计了两种方案:

方案一 甲车间租用先进生产设备,工人的工作效率可提高 <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1007/" title="浙江省" class="c1" target="_blank">浙江省</a> <a href="/tags/1087/" title="湖州" class="c1" target="_blank">湖州</a> <a href="/tags/1185/" title="浙江" class="c1" target="_blank">浙江</a> ,乙车间维持不变.

方案二 乙车间再临时招聘若干名工人(工作效率与原工人相同),甲车间维持不变.

设计的这两种方案,企业完成生产任务的时间相同.

求乙车间需临时招聘的工人数;

若甲车间租用设备的租金每天900元,租用期间另需一次性支付运输等费用1500元;乙车间需支付临时招聘的工人每人每天200元.问:从新增加的费用考虑,应选择哪种方案能更节省开支?请说明理由.

23.(10分)已知在 <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/1087/" title="湖州" class="c1" target="_blank">湖州</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/1087/" title="湖州" class="c1" target="_blank">湖州</a> <a href="/tags/1185/" title="浙江" class="c1" target="_blank">浙江</a>  <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1007/" title="浙江省" class="c1" target="_blank">浙江省</a> <a href="/tags/1087/" title="湖州" class="c1" target="_blank">湖州</a> <a href="/tags/1185/" title="浙江" class="c1" target="_blank">浙江</a>  <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1007/" title="浙江省" class="c1" target="_blank">浙江省</a> <a href="/tags/1087/" title="湖州" class="c1" target="_blank">湖州</a> <a href="/tags/1185/" title="浙江" class="c1" target="_blank">浙江</a> 边上的一点,将 <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1007/" title="浙江省" class="c1" target="_blank">浙江省</a> <a href="/tags/1087/" title="湖州" class="c1" target="_blank">湖州</a> <a href="/tags/1185/" title="浙江" class="c1" target="_blank">浙江</a> 沿着过点 <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/1087/" title="湖州" class="c1" target="_blank">湖州</a> <a href="/tags/1185/" title="浙江" class="c1" target="_blank">浙江</a> 的直线折叠,使点 <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/1087/" title="湖州" class="c1" target="_blank">湖州</a> <a href="/tags/1185/" title="浙江" class="c1" target="_blank">浙江</a> 落在 <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1007/" title="浙江省" class="c1" target="_blank">浙江省</a> <a href="/tags/1087/" title="湖州" class="c1" target="_blank">湖州</a> <a href="/tags/1185/" title="浙江" class="c1" target="_blank">浙江</a> 边的点 <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1007/" title="浙江省" class="c1" target="_blank">浙江省</a> <a href="/tags/1087/" title="湖州" class="c1" target="_blank">湖州</a> <a href="/tags/1185/" title="浙江" class="c1" target="_blank">浙江</a> 处(不与点 <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/1087/" title="湖州" class="c1" target="_blank">湖州</a> <a href="/tags/1185/" title="浙江" class="c1" target="_blank">浙江</a>  <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1007/" title="浙江省" class="c1" target="_blank">浙江省</a> <a href="/tags/1087/" title="湖州" class="c1" target="_blank">湖州</a> <a href="/tags/1185/" title="浙江" class="c1" target="_blank">浙江</a> 重合),折痕交 <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/1087/" title="湖州" class="c1" target="_blank">湖州</a> <a href="/tags/1185/" title="浙江" class="c1" target="_blank">浙江</a> 边于点 <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/1087/" title="湖州" class="c1" target="_blank">湖州</a> <a href="/tags/1185/" title="浙江" class="c1" target="_blank">浙江</a>

1)特例感知 如图1,若 <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1007/" title="浙江省" class="c1" target="_blank">浙江省</a> <a href="/tags/1087/" title="湖州" class="c1" target="_blank">湖州</a> <a href="/tags/1185/" title="浙江" class="c1" target="_blank">浙江</a>  <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1007/" title="浙江省" class="c1" target="_blank">浙江省</a> <a href="/tags/1087/" title="湖州" class="c1" target="_blank">湖州</a> <a href="/tags/1185/" title="浙江" class="c1" target="_blank">浙江</a>  <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1007/" title="浙江省" class="c1" target="_blank">浙江省</a> <a href="/tags/1087/" title="湖州" class="c1" target="_blank">湖州</a> <a href="/tags/1185/" title="浙江" class="c1" target="_blank">浙江</a> 的中点,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/1087/" title="湖州" class="c1" target="_blank">湖州</a> <a href="/tags/1185/" title="浙江" class="c1" target="_blank">浙江</a>

2)变式求异 如图2,若 <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1007/" title="浙江省" class="c1" target="_blank">浙江省</a> <a href="/tags/1087/" title="湖州" class="c1" target="_blank">湖州</a> <a href="/tags/1185/" title="浙江" class="c1" target="_blank">浙江</a>  <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1007/" title="浙江省" class="c1" target="_blank">浙江省</a> <a href="/tags/1087/" title="湖州" class="c1" target="_blank">湖州</a> <a href="/tags/1185/" title="浙江" class="c1" target="_blank">浙江</a>  <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1007/" title="浙江省" class="c1" target="_blank">浙江省</a> <a href="/tags/1087/" title="湖州" class="c1" target="_blank">湖州</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/1087/" title="湖州" class="c1" target="_blank">湖州</a> <a href="/tags/1185/" title="浙江" class="c1" target="_blank">浙江</a>  <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1007/" title="浙江省" class="c1" target="_blank">浙江省</a> <a href="/tags/1087/" title="湖州" class="c1" target="_blank">湖州</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/1087/" title="湖州" class="c1" target="_blank">湖州</a> <a href="/tags/1185/" title="浙江" class="c1" target="_blank">浙江</a> ,求 <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1007/" title="浙江省" class="c1" target="_blank">浙江省</a> <a href="/tags/1087/" title="湖州" class="c1" target="_blank">湖州</a> <a href="/tags/1185/" title="浙江" class="c1" target="_blank">浙江</a>  <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1007/" title="浙江省" class="c1" target="_blank">浙江省</a> <a href="/tags/1087/" title="湖州" class="c1" target="_blank">湖州</a> <a href="/tags/1185/" title="浙江" class="c1" target="_blank">浙江</a> 的长;

3)化归探究 如图3,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/1087/" title="湖州" class="c1" target="_blank">湖州</a> <a href="/tags/1185/" title="浙江" class="c1" target="_blank">浙江</a>  <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1007/" title="浙江省" class="c1" target="_blank">浙江省</a> <a href="/tags/1087/" title="湖州" class="c1" target="_blank">湖州</a> <a href="/tags/1185/" title="浙江" class="c1" target="_blank">浙江</a> ,且当 <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/1087/" title="湖州" class="c1" target="_blank">湖州</a> <a href="/tags/1185/" title="浙江" class="c1" target="_blank">浙江</a> 时,存在两次不同的折叠,使点 <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/1087/" title="湖州" class="c1" target="_blank">湖州</a> <a href="/tags/1185/" title="浙江" class="c1" target="_blank">浙江</a> 落在 <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1007/" title="浙江省" class="c1" target="_blank">浙江省</a> <a href="/tags/1087/" title="湖州" class="c1" target="_blank">湖州</a> <a href="/tags/1185/" title="浙江" class="c1" target="_blank">浙江</a> 边上两个不同的位置,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/1087/" title="湖州" class="c1" target="_blank">湖州</a> <a href="/tags/1185/" title="浙江" class="c1" target="_blank">浙江</a> 的取值范围.

Shape16

24.(12分)如图,已知在平面直角坐标系 <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1007/" title="浙江省" class="c1" target="_blank">浙江省</a> <a href="/tags/1087/" title="湖州" class="c1" target="_blank">湖州</a> <a href="/tags/1185/" title="浙江" class="c1" target="_blank">浙江</a> 中,抛物线 <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/1087/" title="湖州" class="c1" target="_blank">湖州</a> <a href="/tags/1185/" title="浙江" class="c1" target="_blank">浙江</a> 的顶点为 <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/1087/" title="湖州" class="c1" target="_blank">湖州</a> <a href="/tags/1185/" title="浙江" class="c1" target="_blank">浙江</a> ,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/1087/" title="湖州" class="c1" target="_blank">湖州</a> <a href="/tags/1185/" title="浙江" class="c1" target="_blank">浙江</a> 轴的交点为 <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/1087/" title="湖州" class="c1" target="_blank">湖州</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/1087/" title="湖州" class="c1" target="_blank">湖州</a> <a href="/tags/1185/" title="浙江" class="c1" target="_blank">浙江</a> 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/1087/" title="湖州" class="c1" target="_blank">湖州</a> <a href="/tags/1185/" title="浙江" class="c1" target="_blank">浙江</a> 与抛物线交于另一点 <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/1087/" title="湖州" class="c1" target="_blank">湖州</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/1087/" title="湖州" class="c1" target="_blank">湖州</a> <a href="/tags/1185/" title="浙江" class="c1" target="_blank">浙江</a> 在对称轴左侧),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/1087/" title="湖州" class="c1" target="_blank">湖州</a> <a href="/tags/1185/" title="浙江" class="c1" target="_blank">浙江</a>  <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1007/" title="浙江省" class="c1" target="_blank">浙江省</a> <a href="/tags/1087/" title="湖州" class="c1" target="_blank">湖州</a> <a href="/tags/1185/" title="浙江" class="c1" target="_blank">浙江</a> 的延长线上,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/1087/" title="湖州" class="c1" target="_blank">湖州</a> <a href="/tags/1185/" title="浙江" class="c1" target="_blank">浙江</a>  <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1007/" title="浙江省" class="c1" target="_blank">浙江省</a> <a href="/tags/1087/" title="湖州" class="c1" target="_blank">湖州</a> <a href="/tags/1185/" title="浙江" class="c1" target="_blank">浙江</a>  <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1007/" title="浙江省" class="c1" target="_blank">浙江省</a> <a href="/tags/1087/" title="湖州" class="c1" target="_blank">湖州</a> <a href="/tags/1185/" title="浙江" class="c1" target="_blank">浙江</a>  <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1007/" title="浙江省" class="c1" target="_blank">浙江省</a> <a href="/tags/1087/" title="湖州" class="c1" target="_blank">湖州</a> <a href="/tags/1185/" title="浙江" class="c1" target="_blank">浙江</a>

1)如图1,当 <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1007/" title="浙江省" class="c1" target="_blank">浙江省</a> <a href="/tags/1087/" title="湖州" class="c1" target="_blank">湖州</a> <a href="/tags/1185/" title="浙江" class="c1" target="_blank">浙江</a> 轴时,

已知点 <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1007/" title="浙江省" class="c1" target="_blank">浙江省</a> <a href="/tags/1087/" title="湖州" class="c1" target="_blank">湖州</a> <a href="/tags/1185/" title="浙江" class="c1" target="_blank">浙江</a> 的坐标是 <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/1087/" title="湖州" class="c1" target="_blank">湖州</a> <a href="/tags/1185/" title="浙江" class="c1" target="_blank">浙江</a> ,求抛物线的解析式;

若四边形 <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/1087/" title="湖州" class="c1" target="_blank">湖州</a> <a href="/tags/1185/" title="浙江" class="c1" target="_blank">浙江</a> 是平行四边形,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/1087/" title="湖州" class="c1" target="_blank">湖州</a> <a href="/tags/1185/" title="浙江" class="c1" target="_blank">浙江</a>

2)如图2,若 <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1007/" title="浙江省" class="c1" target="_blank">浙江省</a> <a href="/tags/1087/" title="湖州" class="c1" target="_blank">湖州</a> <a href="/tags/1185/" title="浙江" class="c1" target="_blank">浙江</a>  <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1007/" title="浙江省" class="c1" target="_blank">浙江省</a> <a href="/tags/1087/" title="湖州" class="c1" target="_blank">湖州</a> <a href="/tags/1185/" title="浙江" class="c1" target="_blank">浙江</a> ,是否存在这样的点 <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1007/" title="浙江省" class="c1" target="_blank">浙江省</a> <a href="/tags/1087/" title="湖州" class="c1" target="_blank">湖州</a> <a href="/tags/1185/" title="浙江" class="c1" target="_blank">浙江</a> ,使四边形 <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/1087/" title="湖州" class="c1" target="_blank">湖州</a> <a href="/tags/1185/" title="浙江" class="c1" target="_blank">浙江</a> 是平行四边形?若存在,求出点 <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/1087/" title="湖州" class="c1" target="_blank">湖州</a> <a href="/tags/1185/" title="浙江" class="c1" target="_blank">浙江</a> 的坐标;若不存在,请说明理由.

Shape17


2020年浙江省湖州市中考数学试卷

参考答案与试题解析

一、选择题(本题有10小题,每小题3分,共30分)下面每小题给出的四个选项中,只有一个是正确的.请选出各题中一个最符合题意的选项,并在答题卷上将相应题次中对应字母的方框涂黑,不选、多选、错选均不给分.

1.(3分)数4的算术平方根是 <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/1087/" title="湖州" class="c1" target="_blank">湖州</a> <a href="/tags/1185/" title="浙江" class="c1" target="_blank">浙江</a>    <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1007/" title="浙江省" class="c1" target="_blank">浙江省</a> <a href="/tags/1087/" title="湖州" class="c1" target="_blank">湖州</a> <a href="/tags/1185/" title="浙江" class="c1" target="_blank">浙江</a>

A2 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/1087/" title="湖州" class="c1" target="_blank">湖州</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/1087/" title="湖州" class="c1" target="_blank">湖州</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/1087/" title="湖州" class="c1" target="_blank">湖州</a> <a href="/tags/1185/" title="浙江" class="c1" target="_blank">浙江</a>

【分析】算术平方根的定义:一个非负数的正的平方根,即为这个数的算术平方根,由此即可求出结果.

【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/1087/" title="湖州" class="c1" target="_blank">湖州</a> <a href="/tags/1185/" title="浙江" class="c1" target="_blank">浙江</a> 的平方为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/1087/" title="湖州" class="c1" target="_blank">湖州</a> <a href="/tags/1185/" title="浙江" class="c1" target="_blank">浙江</a> 的算术平方根为2

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/1087/" title="湖州" class="c1" target="_blank">湖州</a> <a href="/tags/1185/" title="浙江" class="c1" target="_blank">浙江</a>

【点评】此题主要考查了算术平方根的定义,算术平方根的概念易与平方根的概念混淆而导致错误.

2.(3分)近几年来,我国经济规模不断扩大,综合国力显著增强.2019年我国国内生产总值约991000亿元,则数991000用科学记数法可表示为 <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1007/" title="浙江省" class="c1" target="_blank">浙江省</a> <a href="/tags/1087/" title="湖州" class="c1" target="_blank">湖州</a> <a href="/tags/1185/" title="浙江" class="c1" target="_blank">浙江</a>    <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1007/" title="浙江省" class="c1" target="_blank">浙江省</a> <a href="/tags/1087/" title="湖州" class="c1" target="_blank">湖州</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/1087/" title="湖州" class="c1" target="_blank">湖州</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/1087/" title="湖州" class="c1" target="_blank">湖州</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/1087/" title="湖州" class="c1" target="_blank">湖州</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/1087/" title="湖州" class="c1" target="_blank">湖州</a> <a href="/tags/1185/" title="浙江" class="c1" target="_blank">浙江</a>

【分析】科学记数法的表示形式为 <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1007/" title="浙江省" class="c1" target="_blank">浙江省</a> <a href="/tags/1087/" title="湖州" class="c1" target="_blank">湖州</a> <a href="/tags/1185/" title="浙江" class="c1" target="_blank">浙江</a> 的形式,其中 <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1007/" title="浙江省" class="c1" target="_blank">浙江省</a> <a href="/tags/1087/" title="湖州" class="c1" target="_blank">湖州</a> <a href="/tags/1185/" title="浙江" class="c1" target="_blank">浙江</a>  <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1007/" title="浙江省" class="c1" target="_blank">浙江省</a> <a href="/tags/1087/" title="湖州" class="c1" target="_blank">湖州</a> <a href="/tags/1185/" title="浙江" class="c1" target="_blank">浙江</a> 为整数.确定 <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1007/" title="浙江省" class="c1" target="_blank">浙江省</a> <a href="/tags/1087/" title="湖州" class="c1" target="_blank">湖州</a> <a href="/tags/1185/" title="浙江" class="c1" target="_blank">浙江</a> 的值时,要看把原数变成 <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1007/" title="浙江省" class="c1" target="_blank">浙江省</a> <a href="/tags/1087/" title="湖州" class="c1" target="_blank">湖州</a> <a href="/tags/1185/" title="浙江" class="c1" target="_blank">浙江</a> 时,小数点移动了多少位, <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1007/" title="浙江省" class="c1" target="_blank">浙江省</a> <a href="/tags/1087/" title="湖州" class="c1" target="_blank">湖州</a> <a href="/tags/1185/" title="浙江" class="c1" target="_blank">浙江</a> 的绝对值与小数点移动的位数相同.

【解答】解:将991000用科学记数法表示为: <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1007/" title="浙江省" class="c1" target="_blank">浙江省</a> <a href="/tags/1087/" title="湖州" class="c1" target="_blank">湖州</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/1087/" title="湖州" class="c1" target="_blank">湖州</a> <a href="/tags/1185/" title="浙江" class="c1" target="_blank">浙江</a>

【点评】此题考查科学记数法的表示方法,表示时关键要正确确定 <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1007/" title="浙江省" class="c1" target="_blank">浙江省</a> <a href="/tags/1087/" title="湖州" class="c1" target="_blank">湖州</a> <a href="/tags/1185/" title="浙江" class="c1" target="_blank">浙江</a> 的值以及 <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1007/" title="浙江省" class="c1" target="_blank">浙江省</a> <a href="/tags/1087/" title="湖州" class="c1" target="_blank">湖州</a> <a href="/tags/1185/" title="浙江" class="c1" target="_blank">浙江</a> 的值.

3.(3分)已知某几何体的三视图如图所示,则该几何体可能是 <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/1087/" title="湖州" class="c1" target="_blank">湖州</a> <a href="/tags/1185/" title="浙江" class="c1" target="_blank">浙江</a>    <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1007/" title="浙江省" class="c1" target="_blank">浙江省</a> <a href="/tags/1087/" title="湖州" class="c1" target="_blank">湖州</a> <a href="/tags/1185/" title="浙江" class="c1" target="_blank">浙江</a>

Shape18

AShape19 BShape20 CShape21 DShape22

【分析】根据两个视图是长方形得出该几何体是锥体,再根据俯视图是圆,得出几何体是圆锥.

【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/1087/" title="湖州" class="c1" target="_blank">湖州</a> <a href="/tags/1185/" title="浙江" class="c1" target="_blank">浙江</a> 主视图和左视图是三角形,

 <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/1087/" title="湖州" class="c1" target="_blank">湖州</a> <a href="/tags/1185/" title="浙江" class="c1" target="_blank">浙江</a> 几何体是锥体,

 <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1007/" title="浙江省" class="c1" target="_blank">浙江省</a> <a href="/tags/1087/" title="湖州" class="c1" target="_blank">湖州</a> <a href="/tags/1185/" title="浙江" class="c1" target="_blank">浙江</a> 俯视图的大致轮廓是圆,

 <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1007/" title="浙江省" class="c1" target="_blank">浙江省</a> <a href="/tags/1087/" title="湖州" class="c1" target="_blank">湖州</a> <a href="/tags/1185/" title="浙江" class="c1" target="_blank">浙江</a> 该几何体是圆锥.

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/1087/" title="湖州" class="c1" target="_blank">湖州</a> <a href="/tags/1185/" title="浙江" class="c1" target="_blank">浙江</a>

【点评】此题考查由三视图判断几何体,三视图里有两个相同可确定该几何体是柱体,锥体还是球体,由另一个视图确定其具体形状.

4.(3分)如图,已知四边形 <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1007/" title="浙江省" class="c1" target="_blank">浙江省</a> <a href="/tags/1087/" title="湖州" class="c1" target="_blank">湖州</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/1087/" title="湖州" class="c1" target="_blank">湖州</a> <a href="/tags/1185/" title="浙江" class="c1" target="_blank">浙江</a>  <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1007/" title="浙江省" class="c1" target="_blank">浙江省</a> <a href="/tags/1087/" title="湖州" class="c1" target="_blank">湖州</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/1087/" title="湖州" class="c1" target="_blank">湖州</a> <a href="/tags/1185/" title="浙江" class="c1" target="_blank">浙江</a> 的度数是 <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/1087/" title="湖州" class="c1" target="_blank">湖州</a> <a href="/tags/1185/" title="浙江" class="c1" target="_blank">浙江</a>    <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1007/" title="浙江省" class="c1" target="_blank">浙江省</a> <a href="/tags/1087/" title="湖州" class="c1" target="_blank">湖州</a> <a href="/tags/1185/" title="浙江" class="c1" target="_blank">浙江</a>

Shape23

A <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1007/" title="浙江省" class="c1" target="_blank">浙江省</a> <a href="/tags/1087/" title="湖州" class="c1" target="_blank">湖州</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/1087/" title="湖州" class="c1" target="_blank">湖州</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/1087/" title="湖州" class="c1" target="_blank">湖州</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/1087/" title="湖州" class="c1" target="_blank">湖州</a> <a href="/tags/1185/" title="浙江" class="c1" target="_blank">浙江</a>

【分析】根据圆内接四边形的性质即可得到结论.

【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/1087/" title="湖州" class="c1" target="_blank">湖州</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/1087/" title="湖州" class="c1" target="_blank">湖州</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/1087/" title="湖州" class="c1" target="_blank">湖州</a> <a href="/tags/1185/" title="浙江" class="c1" target="_blank">浙江</a>  <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1007/" title="浙江省" class="c1" target="_blank">浙江省</a> <a href="/tags/1087/" title="湖州" class="c1" target="_blank">湖州</a> <a href="/tags/1185/" title="浙江" class="c1" target="_blank">浙江</a>

 <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1007/" title="浙江省" class="c1" target="_blank">浙江省</a> <a href="/tags/1087/" title="湖州" class="c1" target="_blank">湖州</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/1087/" title="湖州" class="c1" target="_blank">湖州</a> <a href="/tags/1185/" title="浙江" class="c1" target="_blank">浙江</a>

【点评】本题考查了圆内接四边形的性质,熟练掌握圆内接四边形的性质是解题的关键.

5.(3分)数据 <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1007/" title="浙江省" class="c1" target="_blank">浙江省</a> <a href="/tags/1087/" title="湖州" class="c1" target="_blank">湖州</a> <a href="/tags/1185/" title="浙江" class="c1" target="_blank">浙江</a> 0344的平均数是 <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/1087/" title="湖州" class="c1" target="_blank">湖州</a> <a href="/tags/1185/" title="浙江" class="c1" target="_blank">浙江</a>    <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1007/" title="浙江省" class="c1" target="_blank">浙江省</a> <a href="/tags/1087/" title="湖州" class="c1" target="_blank">湖州</a> <a href="/tags/1185/" title="浙江" class="c1" target="_blank">浙江</a>

A4 B3 C2.5 D2

【分析】根据题目中的数据,可以求得这组数据的平均数,本题得以解决.

【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/1087/" title="湖州" class="c1" target="_blank">湖州</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/1087/" title="湖州" class="c1" target="_blank">湖州</a> <a href="/tags/1185/" title="浙江" class="c1" target="_blank">浙江</a>

【点评】本题考查算术平均数,解答本题的关键是明确算术平均数的计算方法.

6.(3分)已知关于 <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/1087/" title="湖州" class="c1" target="_blank">湖州</a> <a href="/tags/1185/" title="浙江" class="c1" target="_blank">浙江</a> 的一元二次方程 <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/1087/" title="湖州" class="c1" target="_blank">湖州</a> <a href="/tags/1185/" title="浙江" class="c1" target="_blank">浙江</a> ,则下列关于该方程根的判断,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/1087/" title="湖州" class="c1" target="_blank">湖州</a> <a href="/tags/1185/" title="浙江" class="c1" target="_blank">浙江</a>    <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1007/" title="浙江省" class="c1" target="_blank">浙江省</a> <a href="/tags/1087/" title="湖州" class="c1" target="_blank">湖州</a> <a href="/tags/1185/" title="浙江" class="c1" target="_blank">浙江</a>

A.有两个不相等的实数根

B.有两个相等的实数根

C.没有实数根

D.实数根的个数与实数 <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/1087/" title="湖州" class="c1" target="_blank">湖州</a> <a href="/tags/1185/" title="浙江" class="c1" target="_blank">浙江</a> 的取值有关

【分析】先计算出判别式的值,再根据非负数的性质判断△ <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/1087/" title="湖州" class="c1" target="_blank">湖州</a> <a href="/tags/1185/" title="浙江" class="c1" target="_blank">浙江</a> ,然后利用判别式的意义对各选项进行判断.

【解答】解: <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1007/" title="浙江省" class="c1" target="_blank">浙江省</a> <a href="/tags/1087/" title="湖州" class="c1" target="_blank">湖州</a> <a href="/tags/1185/" title="浙江" class="c1" target="_blank">浙江</a>  <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1007/" title="浙江省" class="c1" target="_blank">浙江省</a> <a href="/tags/1087/" title="湖州" class="c1" target="_blank">湖州</a> <a href="/tags/1185/" title="浙江" class="c1" target="_blank">浙江</a>

 <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1007/" title="浙江省" class="c1" target="_blank">浙江省</a> <a href="/tags/1087/" title="湖州" class="c1" target="_blank">湖州</a> <a href="/tags/1185/" title="浙江" class="c1" target="_blank">浙江</a> 方程有两个不相等的实数根.

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/1087/" title="湖州" class="c1" target="_blank">湖州</a> <a href="/tags/1185/" title="浙江" class="c1" target="_blank">浙江</a>

【点评】本题考查了根的判别式:一元二次方程 <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/1087/" title="湖州" class="c1" target="_blank">湖州</a> <a href="/tags/1185/" title="浙江" class="c1" target="_blank">浙江</a> 的根与△ <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/1087/" title="湖州" class="c1" target="_blank">湖州</a> <a href="/tags/1185/" title="浙江" class="c1" target="_blank">浙江</a> 有如下关系: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/1087/" title="湖州" class="c1" target="_blank">湖州</a> <a href="/tags/1185/" title="浙江" class="c1" target="_blank">浙江</a> 时,方程有两个不相等的实数根;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/1087/" title="湖州" class="c1" target="_blank">湖州</a> <a href="/tags/1185/" title="浙江" class="c1" target="_blank">浙江</a> 时,方程有两个相等的实数根;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/1087/" title="湖州" class="c1" target="_blank">湖州</a> <a href="/tags/1185/" title="浙江" class="c1" target="_blank">浙江</a> 时,方程无实数根.

7.(3分)四边形具有不稳定性,对于四条边长确定的四边形.当内角度数发生变化时,其形状也会随之改变.如图,改变正方形 <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/1087/" title="湖州" class="c1" target="_blank">湖州</a> <a href="/tags/1185/" title="浙江" class="c1" target="_blank">浙江</a> 的内角,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/1087/" title="湖州" class="c1" target="_blank">湖州</a> <a href="/tags/1185/" title="浙江" class="c1" target="_blank">浙江</a> 变为菱形 <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1007/" title="浙江省" class="c1" target="_blank">浙江省</a> <a href="/tags/1087/" title="湖州" class="c1" target="_blank">湖州</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/1087/" title="湖州" class="c1" target="_blank">湖州</a> <a href="/tags/1185/" title="浙江" class="c1" target="_blank">浙江</a> ,则菱形 <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1007/" title="浙江省" class="c1" target="_blank">浙江省</a> <a href="/tags/1087/" title="湖州" class="c1" target="_blank">湖州</a> <a href="/tags/1185/" title="浙江" class="c1" target="_blank">浙江</a> 的面积与正方形 <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/1087/" title="湖州" class="c1" target="_blank">湖州</a> <a href="/tags/1185/" title="浙江" class="c1" target="_blank">浙江</a> 的面积之比是 <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/1087/" title="湖州" class="c1" target="_blank">湖州</a> <a href="/tags/1185/" title="浙江" class="c1" target="_blank">浙江</a>    <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1007/" title="浙江省" class="c1" target="_blank">浙江省</a> <a href="/tags/1087/" title="湖州" class="c1" target="_blank">湖州</a> <a href="/tags/1185/" title="浙江" class="c1" target="_blank">浙江</a>

Shape24

A1 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/1087/" title="湖州" class="c1" target="_blank">湖州</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/1087/" title="湖州" class="c1" target="_blank">湖州</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/1087/" title="湖州" class="c1" target="_blank">湖州</a> <a href="/tags/1185/" title="浙江" class="c1" target="_blank">浙江</a>

【分析】根据 <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1007/" title="浙江省" class="c1" target="_blank">浙江省</a> <a href="/tags/1087/" title="湖州" class="c1" target="_blank">湖州</a> <a href="/tags/1185/" title="浙江" class="c1" target="_blank">浙江</a> 角所对的直角边等于斜边的一半可知菱形 <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1007/" title="浙江省" class="c1" target="_blank">浙江省</a> <a href="/tags/1087/" title="湖州" class="c1" target="_blank">湖州</a> <a href="/tags/1185/" title="浙江" class="c1" target="_blank">浙江</a> 的高等于 <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/1087/" title="湖州" class="c1" target="_blank">湖州</a> <a href="/tags/1185/" title="浙江" class="c1" target="_blank">浙江</a> 的一半,再根据正方形的面积公式和平行四边形的面积公式即可得解.

【解答】解:根据题意可知菱形 <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1007/" title="浙江省" class="c1" target="_blank">浙江省</a> <a href="/tags/1087/" title="湖州" class="c1" target="_blank">湖州</a> <a href="/tags/1185/" title="浙江" class="c1" target="_blank">浙江</a> 的高等于 <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/1087/" title="湖州" class="c1" target="_blank">湖州</a> <a href="/tags/1185/" title="浙江" class="c1" target="_blank">浙江</a> 的一半,

 <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1007/" title="浙江省" class="c1" target="_blank">浙江省</a> <a href="/tags/1087/" title="湖州" class="c1" target="_blank">湖州</a> <a href="/tags/1185/" title="浙江" class="c1" target="_blank">浙江</a> 菱形 <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1007/" title="浙江省" class="c1" target="_blank">浙江省</a> <a href="/tags/1087/" title="湖州" class="c1" target="_blank">湖州</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/1087/" title="湖州" class="c1" target="_blank">湖州</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/1087/" title="湖州" class="c1" target="_blank">湖州</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/1087/" title="湖州" class="c1" target="_blank">湖州</a> <a href="/tags/1185/" title="浙江" class="c1" target="_blank">浙江</a>

 <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1007/" title="浙江省" class="c1" target="_blank">浙江省</a> <a href="/tags/1087/" title="湖州" class="c1" target="_blank">湖州</a> <a href="/tags/1185/" title="浙江" class="c1" target="_blank">浙江</a> 菱形 <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1007/" title="浙江省" class="c1" target="_blank">浙江省</a> <a href="/tags/1087/" title="湖州" class="c1" target="_blank">湖州</a> <a href="/tags/1185/" title="浙江" class="c1" target="_blank">浙江</a> 的面积与正方形 <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/1087/" title="湖州" class="c1" target="_blank">湖州</a> <a href="/tags/1185/" title="浙江" class="c1" target="_blank">浙江</a> 的面积之比是 <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/1087/" title="湖州" class="c1" target="_blank">湖州</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/1087/" title="湖州" class="c1" target="_blank">湖州</a> <a href="/tags/1185/" title="浙江" class="c1" target="_blank">浙江</a>

【点评】本题主要考查了正方形与菱形的面积,熟知 <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/1087/" title="湖州" class="c1" target="_blank">湖州</a> <a href="/tags/1185/" title="浙江" class="c1" target="_blank">浙江</a> 角所对的直角边等于斜边的一半是解答本题的关键.

8.(3分)已知在平面直角坐标系 <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1007/" title="浙江省" class="c1" target="_blank">浙江省</a> <a href="/tags/1087/" title="湖州" class="c1" target="_blank">湖州</a> <a href="/tags/1185/" title="浙江" class="c1" target="_blank">浙江</a> 中,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/1087/" title="湖州" class="c1" target="_blank">湖州</a> <a href="/tags/1185/" title="浙江" class="c1" target="_blank">浙江</a> 和直线 <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/1087/" title="湖州" class="c1" target="_blank">湖州</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/1087/" title="湖州" class="c1" target="_blank">湖州</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/1087/" title="湖州" class="c1" target="_blank">湖州</a> <a href="/tags/1185/" title="浙江" class="c1" target="_blank">浙江</a> 和点 <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/1087/" title="湖州" class="c1" target="_blank">湖州</a> <a href="/tags/1185/" title="浙江" class="c1" target="_blank">浙江</a> .则下列直线中,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/1087/" title="湖州" class="c1" target="_blank">湖州</a> <a href="/tags/1185/" title="浙江" class="c1" target="_blank">浙江</a> 轴的交点不在线段 <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/1087/" title="湖州" class="c1" target="_blank">湖州</a> <a href="/tags/1185/" title="浙江" class="c1" target="_blank">浙江</a> 上的直线是 <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/1087/" title="湖州" class="c1" target="_blank">湖州</a> <a href="/tags/1185/" title="浙江" class="c1" target="_blank">浙江</a>    <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1007/" title="浙江省" class="c1" target="_blank">浙江省</a> <a href="/tags/1087/" title="湖州" class="c1" target="_blank">湖州</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/1087/" title="湖州" class="c1" target="_blank">湖州</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/1087/" title="湖州" class="c1" target="_blank">湖州</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/1087/" title="湖州" class="c1" target="_blank">湖州</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/1087/" title="湖州" class="c1" target="_blank">湖州</a> <a href="/tags/1185/" title="浙江" class="c1" target="_blank">浙江</a>

【分析】求得 <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1007/" title="浙江省" class="c1" target="_blank">浙江省</a> <a href="/tags/1087/" title="湖州" class="c1" target="_blank">湖州</a> <a href="/tags/1185/" title="浙江" class="c1" target="_blank">浙江</a>  <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1007/" title="浙江省" class="c1" target="_blank">浙江省</a> <a href="/tags/1087/" title="湖州" class="c1" target="_blank">湖州</a> <a href="/tags/1185/" title="浙江" class="c1" target="_blank">浙江</a> 的坐标,然后分别求得各个直线与 <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/1087/" title="湖州" class="c1" target="_blank">湖州</a> <a href="/tags/1185/" title="浙江" class="c1" target="_blank">浙江</a> 的交点,进行比较即可得出结论.

【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/1087/" title="湖州" class="c1" target="_blank">湖州</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/1087/" title="湖州" class="c1" target="_blank">湖州</a> <a href="/tags/1185/" title="浙江" class="c1" target="_blank">浙江</a> 和直线 <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/1087/" title="湖州" class="c1" target="_blank">湖州</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/1087/" title="湖州" class="c1" target="_blank">湖州</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/1087/" title="湖州" class="c1" target="_blank">湖州</a> <a href="/tags/1185/" title="浙江" class="c1" target="_blank">浙江</a> 和点 <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/1087/" title="湖州" class="c1" target="_blank">湖州</a> <a href="/tags/1185/" title="浙江" class="c1" target="_blank">浙江</a>

 <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1007/" title="浙江省" class="c1" target="_blank">浙江省</a> <a href="/tags/1087/" title="湖州" class="c1" target="_blank">湖州</a> <a href="/tags/1185/" title="浙江" class="c1" target="_blank">浙江</a>  <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1007/" title="浙江省" class="c1" target="_blank">浙江省</a> <a href="/tags/1087/" title="湖州" class="c1" target="_blank">湖州</a> <a href="/tags/1185/" title="浙江" class="c1" target="_blank">浙江</a>

 <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1007/" title="浙江省" class="c1" target="_blank">浙江省</a> <a href="/tags/1087/" title="湖州" class="c1" target="_blank">湖州</a> <a href="/tags/1185/" title="浙江" class="c1" target="_blank">浙江</a>  <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1007/" title="浙江省" class="c1" target="_blank">浙江省</a> <a href="/tags/1087/" title="湖州" class="c1" target="_blank">湖州</a> <a href="/tags/1185/" title="浙江" class="c1" target="_blank">浙江</a>  <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1007/" title="浙江省" class="c1" target="_blank">浙江省</a> <a href="/tags/1087/" title="湖州" class="c1" target="_blank">湖州</a> <a href="/tags/1185/" title="浙江" class="c1" target="_blank">浙江</a> 轴的交点为 <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/1087/" title="湖州" class="c1" target="_blank">湖州</a> <a href="/tags/1185/" title="浙江" class="c1" target="_blank">浙江</a> ;故直线 <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/1087/" title="湖州" class="c1" target="_blank">湖州</a> <a href="/tags/1185/" title="浙江" class="c1" target="_blank">浙江</a>  <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1007/" title="浙江省" class="c1" target="_blank">浙江省</a> <a href="/tags/1087/" title="湖州" class="c1" target="_blank">湖州</a> <a href="/tags/1185/" title="浙江" class="c1" target="_blank">浙江</a> 轴的交点在线段 <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/1087/" title="湖州" class="c1" target="_blank">湖州</a> <a href="/tags/1185/" title="浙江" class="c1" target="_blank">浙江</a> 上;

 <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1007/" title="浙江省" class="c1" target="_blank">浙江省</a> <a href="/tags/1087/" title="湖州" class="c1" target="_blank">湖州</a> <a href="/tags/1185/" title="浙江" class="c1" target="_blank">浙江</a>  <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1007/" title="浙江省" class="c1" target="_blank">浙江省</a> <a href="/tags/1087/" title="湖州" class="c1" target="_blank">湖州</a> <a href="/tags/1185/" title="浙江" class="c1" target="_blank">浙江</a>  <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1007/" title="浙江省" class="c1" target="_blank">浙江省</a> <a href="/tags/1087/" title="湖州" class="c1" target="_blank">湖州</a> <a href="/tags/1185/" title="浙江" class="c1" target="_blank">浙江</a> 轴的交点为 <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/1087/" title="湖州" class="c1" target="_blank">湖州</a> <a href="/tags/1185/" title="浙江" class="c1" target="_blank">浙江</a>  <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1007/" title="浙江省" class="c1" target="_blank">浙江省</a> <a href="/tags/1087/" title="湖州" class="c1" target="_blank">湖州</a> <a href="/tags/1185/" title="浙江" class="c1" target="_blank">浙江</a> ;故直线 <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/1087/" title="湖州" class="c1" target="_blank">湖州</a> <a href="/tags/1185/" title="浙江" class="c1" target="_blank">浙江</a>  <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1007/" title="浙江省" class="c1" target="_blank">浙江省</a> <a href="/tags/1087/" title="湖州" class="c1" target="_blank">湖州</a> <a href="/tags/1185/" title="浙江" class="c1" target="_blank">浙江</a> 轴的交点在线段 <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/1087/" title="湖州" class="c1" target="_blank">湖州</a> <a href="/tags/1185/" title="浙江" class="c1" target="_blank">浙江</a> 上;

 <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1007/" title="浙江省" class="c1" target="_blank">浙江省</a> <a href="/tags/1087/" title="湖州" class="c1" target="_blank">湖州</a> <a href="/tags/1185/" title="浙江" class="c1" target="_blank">浙江</a>  <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1007/" title="浙江省" class="c1" target="_blank">浙江省</a> <a href="/tags/1087/" title="湖州" class="c1" target="_blank">湖州</a> <a href="/tags/1185/" title="浙江" class="c1" target="_blank">浙江</a>  <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1007/" title="浙江省" class="c1" target="_blank">浙江省</a> <a href="/tags/1087/" title="湖州" class="c1" target="_blank">湖州</a> <a href="/tags/1185/" title="浙江" class="c1" target="_blank">浙江</a> 轴的交点为 <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/1087/" title="湖州" class="c1" target="_blank">湖州</a> <a href="/tags/1185/" title="浙江" class="c1" target="_blank">浙江</a>  <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1007/" title="浙江省" class="c1" target="_blank">浙江省</a> <a href="/tags/1087/" title="湖州" class="c1" target="_blank">湖州</a> <a href="/tags/1185/" title="浙江" class="c1" target="_blank">浙江</a> ;故直线 <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/1087/" title="湖州" class="c1" target="_blank">湖州</a> <a href="/tags/1185/" title="浙江" class="c1" target="_blank">浙江</a>  <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1007/" title="浙江省" class="c1" target="_blank">浙江省</a> <a href="/tags/1087/" title="湖州" class="c1" target="_blank">湖州</a> <a href="/tags/1185/" title="浙江" class="c1" target="_blank">浙江</a> 轴的交点不在线段 <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/1087/" title="湖州" class="c1" target="_blank">湖州</a> <a href="/tags/1185/" title="浙江" class="c1" target="_blank">浙江</a> 上;

 <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1007/" title="浙江省" class="c1" target="_blank">浙江省</a> <a href="/tags/1087/" title="湖州" class="c1" target="_blank">湖州</a> <a href="/tags/1185/" title="浙江" class="c1" target="_blank">浙江</a>  <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1007/" title="浙江省" class="c1" target="_blank">浙江省</a> <a href="/tags/1087/" title="湖州" class="c1" target="_blank">湖州</a> <a href="/tags/1185/" title="浙江" class="c1" target="_blank">浙江</a>  <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1007/" title="浙江省" class="c1" target="_blank">浙江省</a> <a href="/tags/1087/" title="湖州" class="c1" target="_blank">湖州</a> <a href="/tags/1185/" title="浙江" class="c1" target="_blank">浙江</a> 轴的交点为 <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/1087/" title="湖州" class="c1" target="_blank">湖州</a> <a href="/tags/1185/" title="浙江" class="c1" target="_blank">浙江</a>  <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1007/" title="浙江省" class="c1" target="_blank">浙江省</a> <a href="/tags/1087/" title="湖州" class="c1" target="_blank">湖州</a> <a href="/tags/1185/" title="浙江" class="c1" target="_blank">浙江</a> ;故直线 <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/1087/" title="湖州" class="c1" target="_blank">湖州</a> <a href="/tags/1185/" title="浙江" class="c1" target="_blank">浙江</a>  <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1007/" title="浙江省" class="c1" target="_blank">浙江省</a> <a href="/tags/1087/" title="湖州" class="c1" target="_blank">湖州</a> <a href="/tags/1185/" title="浙江" class="c1" target="_blank">浙江</a> 轴的交点在线段 <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/1087/" title="湖州" class="c1" target="_blank">湖州</a> <a href="/tags/1185/" title="浙江" class="c1" target="_blank">浙江</a> 上;

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/1087/" title="湖州" class="c1" target="_blank">湖州</a> <a href="/tags/1185/" title="浙江" class="c1" target="_blank">浙江</a>

【点评】本题考查了一次函数图象上点的坐标特征,图象上的点的坐标适合解析式.

9.(3分)如图,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/1087/" title="湖州" class="c1" target="_blank">湖州</a> <a href="/tags/1185/" title="浙江" class="c1" target="_blank">浙江</a>  <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1007/" title="浙江省" class="c1" target="_blank">浙江省</a> <a href="/tags/1087/" title="湖州" class="c1" target="_blank">湖州</a> <a href="/tags/1185/" title="浙江" class="c1" target="_blank">浙江</a> 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/1087/" title="湖州" class="c1" target="_blank">湖州</a> <a href="/tags/1185/" title="浙江" class="c1" target="_blank">浙江</a> 上的高线, <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/1087/" title="湖州" class="c1" target="_blank">湖州</a> <a href="/tags/1185/" title="浙江" class="c1" target="_blank">浙江</a> .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/1087/" title="湖州" class="c1" target="_blank">湖州</a> <a href="/tags/1185/" title="浙江" class="c1" target="_blank">浙江</a> 为圆心, <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1007/" title="浙江省" class="c1" target="_blank">浙江省</a> <a href="/tags/1087/" title="湖州" class="c1" target="_blank">湖州</a> <a href="/tags/1185/" title="浙江" class="c1" target="_blank">浙江</a> 为半径的圆交 <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/1087/" title="湖州" class="c1" target="_blank">湖州</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/1087/" title="湖州" class="c1" target="_blank">湖州</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/1087/" title="湖州" class="c1" target="_blank">湖州</a> <a href="/tags/1185/" title="浙江" class="c1" target="_blank">浙江</a>  <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1007/" title="浙江省" class="c1" target="_blank">浙江省</a> <a href="/tags/1087/" title="湖州" class="c1" target="_blank">湖州</a> <a href="/tags/1185/" title="浙江" class="c1" target="_blank">浙江</a> 的切线 <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/1087/" title="湖州" class="c1" target="_blank">湖州</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/1087/" title="湖州" class="c1" target="_blank">湖州</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/1087/" title="湖州" class="c1" target="_blank">湖州</a> <a href="/tags/1185/" title="浙江" class="c1" target="_blank">浙江</a> .则下列结论中错误的是 <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/1087/" title="湖州" class="c1" target="_blank">湖州</a> <a href="/tags/1185/" title="浙江" class="c1" target="_blank">浙江</a>    <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1007/" title="浙江省" class="c1" target="_blank">浙江省</a> <a href="/tags/1087/" title="湖州" class="c1" target="_blank">湖州</a> <a href="/tags/1185/" title="浙江" class="c1" target="_blank">浙江</a>

Shape25

A <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1007/" title="浙江省" class="c1" target="_blank">浙江省</a> <a href="/tags/1087/" title="湖州" class="c1" target="_blank">湖州</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/1087/" title="湖州" class="c1" target="_blank">湖州</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/1087/" title="湖州" class="c1" target="_blank">湖州</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/1087/" title="湖州" class="c1" target="_blank">湖州</a> <a href="/tags/1185/" title="浙江" class="c1" target="_blank">浙江</a>

【分析】如图,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/1087/" title="湖州" class="c1" target="_blank">湖州</a> <a href="/tags/1185/" title="浙江" class="c1" target="_blank">浙江</a> .想办法证明选项 <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1007/" title="浙江省" class="c1" target="_blank">浙江省</a> <a href="/tags/1087/" title="湖州" class="c1" target="_blank">湖州</a> <a href="/tags/1185/" title="浙江" class="c1" target="_blank">浙江</a>  <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1007/" title="浙江省" class="c1" target="_blank">浙江省</a> <a href="/tags/1087/" title="湖州" class="c1" target="_blank">湖州</a> <a href="/tags/1185/" title="浙江" class="c1" target="_blank">浙江</a>  <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1007/" title="浙江省" class="c1" target="_blank">浙江省</a> <a href="/tags/1087/" title="湖州" class="c1" target="_blank">湖州</a> <a href="/tags/1185/" title="浙江" class="c1" target="_blank">浙江</a> 正确即可解决问题.

【解答】解:如图,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/1087/" title="湖州" class="c1" target="_blank">湖州</a> <a href="/tags/1185/" title="浙江" class="c1" target="_blank">浙江</a>

Shape26

 <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1007/" title="浙江省" class="c1" target="_blank">浙江省</a> <a href="/tags/1087/" title="湖州" class="c1" target="_blank">湖州</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/1087/" title="湖州" class="c1" target="_blank">湖州</a> <a href="/tags/1185/" title="浙江" class="c1" target="_blank">浙江</a>

 <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1007/" title="浙江省" class="c1" target="_blank">浙江省</a> <a href="/tags/1087/" title="湖州" class="c1" target="_blank">湖州</a> <a href="/tags/1185/" title="浙江" class="c1" target="_blank">浙江</a>  <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1007/" title="浙江省" class="c1" target="_blank">浙江省</a> <a href="/tags/1087/" title="湖州" class="c1" target="_blank">湖州</a> <a href="/tags/1185/" title="浙江" class="c1" target="_blank">浙江</a> 的切线,

 <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/1087/" title="湖州" class="c1" target="_blank">湖州</a> <a href="/tags/1185/" title="浙江" class="c1" target="_blank">浙江</a>  <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1007/" title="浙江省" class="c1" target="_blank">浙江省</a> <a href="/tags/1087/" title="湖州" class="c1" target="_blank">湖州</a> <a href="/tags/1185/" title="浙江" class="c1" target="_blank">浙江</a> 的切线,

 <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/1087/" title="湖州" class="c1" target="_blank">湖州</a> <a href="/tags/1185/" title="浙江" class="c1" target="_blank">浙江</a> ,故选项 <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1007/" title="浙江省" class="c1" target="_blank">浙江省</a> <a href="/tags/1087/" title="湖州" class="c1" target="_blank">湖州</a> <a href="/tags/1185/" title="浙江" class="c1" target="_blank">浙江</a> 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/1087/" title="湖州" class="c1" target="_blank">湖州</a> <a href="/tags/1185/" title="浙江" class="c1" target="_blank">浙江</a>  <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1007/" title="浙江省" class="c1" target="_blank">浙江省</a> <a href="/tags/1087/" title="湖州" class="c1" target="_blank">湖州</a> <a href="/tags/1185/" title="浙江" class="c1" target="_blank">浙江</a>

 <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1007/" title="浙江省" class="c1" target="_blank">浙江省</a> <a href="/tags/1087/" title="湖州" class="c1" target="_blank">湖州</a> <a href="/tags/1185/" title="浙江" class="c1" target="_blank">浙江</a>

 <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1007/" title="浙江省" class="c1" target="_blank">浙江省</a> <a href="/tags/1087/" title="湖州" class="c1" target="_blank">湖州</a> <a href="/tags/1185/" title="浙江" class="c1" target="_blank">浙江</a> 是切线,

 <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/1087/" title="湖州" class="c1" target="_blank">湖州</a> <a href="/tags/1185/" title="浙江" class="c1" target="_blank">浙江</a>

 <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1007/" title="浙江省" class="c1" target="_blank">浙江省</a> <a href="/tags/1087/" title="湖州" class="c1" target="_blank">湖州</a> <a href="/tags/1185/" title="浙江" class="c1" target="_blank">浙江</a>

 <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1007/" title="浙江省" class="c1" target="_blank">浙江省</a> <a href="/tags/1087/" title="湖州" class="c1" target="_blank">湖州</a> <a href="/tags/1185/" title="浙江" class="c1" target="_blank">浙江</a>

 <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1007/" title="浙江省" class="c1" target="_blank">浙江省</a> <a href="/tags/1087/" title="湖州" class="c1" target="_blank">湖州</a> <a href="/tags/1185/" title="浙江" class="c1" target="_blank">浙江</a>

 <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1007/" title="浙江省" class="c1" target="_blank">浙江省</a> <a href="/tags/1087/" title="湖州" class="c1" target="_blank">湖州</a> <a href="/tags/1185/" title="浙江" class="c1" target="_blank">浙江</a> ,故选项 <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1007/" title="浙江省" class="c1" target="_blank">浙江省</a> <a href="/tags/1087/" title="湖州" class="c1" target="_blank">湖州</a> <a href="/tags/1185/" title="浙江" class="c1" target="_blank">浙江</a> 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/1087/" title="湖州" class="c1" target="_blank">湖州</a> <a href="/tags/1185/" title="浙江" class="c1" target="_blank">浙江</a>  <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1007/" title="浙江省" class="c1" target="_blank">浙江省</a> <a href="/tags/1087/" title="湖州" class="c1" target="_blank">湖州</a> <a href="/tags/1185/" title="浙江" class="c1" target="_blank">浙江</a>  <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1007/" title="浙江省" class="c1" target="_blank">浙江省</a> <a href="/tags/1087/" title="湖州" class="c1" target="_blank">湖州</a> <a href="/tags/1185/" title="浙江" class="c1" target="_blank">浙江</a>

 <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1007/" title="浙江省" class="c1" target="_blank">浙江省</a> <a href="/tags/1087/" title="湖州" class="c1" target="_blank">湖州</a> <a href="/tags/1185/" title="浙江" class="c1" target="_blank">浙江</a>

 <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1007/" title="浙江省" class="c1" target="_blank">浙江省</a> <a href="/tags/1087/" title="湖州" class="c1" target="_blank">湖州</a> <a href="/tags/1185/" title="浙江" class="c1" target="_blank">浙江</a>

 <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1007/" title="浙江省" class="c1" target="_blank">浙江省</a> <a href="/tags/1087/" title="湖州" class="c1" target="_blank">湖州</a> <a href="/tags/1185/" title="浙江" class="c1" target="_blank">浙江</a>  <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1007/" title="浙江省" class="c1" target="_blank">浙江省</a> <a href="/tags/1087/" title="湖州" class="c1" target="_blank">湖州</a> <a href="/tags/1185/" title="浙江" class="c1" target="_blank">浙江</a>  <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1007/" title="浙江省" class="c1" target="_blank">浙江省</a> <a href="/tags/1087/" title="湖州" class="c1" target="_blank">湖州</a> <a href="/tags/1185/" title="浙江" class="c1" target="_blank">浙江</a>

 <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1007/" title="浙江省" class="c1" target="_blank">浙江省</a> <a href="/tags/1087/" title="湖州" class="c1" target="_blank">湖州</a> <a href="/tags/1185/" title="浙江" class="c1" target="_blank">浙江</a>

 <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1007/" title="浙江省" class="c1" target="_blank">浙江省</a> <a href="/tags/1087/" title="湖州" class="c1" target="_blank">湖州</a> <a href="/tags/1185/" title="浙江" class="c1" target="_blank">浙江</a>

 <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1007/" title="浙江省" class="c1" target="_blank">浙江省</a> <a href="/tags/1087/" title="湖州" class="c1" target="_blank">湖州</a> <a href="/tags/1185/" title="浙江" class="c1" target="_blank">浙江</a>

 <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1007/" title="浙江省" class="c1" target="_blank">浙江省</a> <a href="/tags/1087/" title="湖州" class="c1" target="_blank">湖州</a> <a href="/tags/1185/" title="浙江" class="c1" target="_blank">浙江</a> ,故选项 <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1007/" title="浙江省" class="c1" target="_blank">浙江省</a> <a href="/tags/1087/" title="湖州" class="c1" target="_blank">湖州</a> <a href="/tags/1185/" title="浙江" class="c1" target="_blank">浙江</a> 正确,

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/1087/" title="湖州" class="c1" target="_blank">湖州</a> <a href="/tags/1185/" title="浙江" class="c1" target="_blank">浙江</a>

【点评】本题考查切线的判定和性质,等腰直角三角形的判定和性质,全等三角形的判定和性质等知识,解题的关键是熟练掌握基本知识,属于中考常考题型.

10.(3分)七巧板是我国祖先的一项卓越创造,流行于世界各地.由边长为2的正方形可以制作一副中国七巧板或一副日本七巧板,如图1所示.分别用这两副七巧板试拼如图2中的平行四边形或矩形,则这两个图形中,中国七巧板和日本七巧板能拼成的个数分别是 <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/1087/" title="湖州" class="c1" target="_blank">湖州</a> <a href="/tags/1185/" title="浙江" class="c1" target="_blank">浙江</a>    <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1007/" title="浙江省" class="c1" target="_blank">浙江省</a> <a href="/tags/1087/" title="湖州" class="c1" target="_blank">湖州</a> <a href="/tags/1185/" title="浙江" class="c1" target="_blank">浙江</a>

Shape27

A11 B12 C21 D22

【分析】根据要求拼平行四边形矩形即可.

【解答】解:中国七巧板和日本七巧板能拼成的个数都是2,如图所示:

Shape28 Shape29

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/1087/" title="湖州" class="c1" target="_blank">湖州</a> <a href="/tags/1185/" title="浙江" class="c1" target="_blank">浙江</a>

【点评】本题考查七巧板,正方形的性质,平行四边形的性质,矩形的性质等知识,解题的关键是理解题意,灵活运用所学知识解决问题.

二、填空题(本题有6小题,每小题4分,共24分)

11.(4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/1087/" title="湖州" class="c1" target="_blank">湖州</a> <a href="/tags/1185/" title="浙江" class="c1" target="_blank">浙江</a>   <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1007/" title="浙江省" class="c1" target="_blank">浙江省</a> <a href="/tags/1087/" title="湖州" class="c1" target="_blank">湖州</a> <a href="/tags/1185/" title="浙江" class="c1" target="_blank">浙江</a>  

【分析】本题需先根据有理数的减法法则,判断出结果的符号,再把绝对值合并即可.

【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/1087/" title="湖州" class="c1" target="_blank">湖州</a> <a href="/tags/1185/" title="浙江" class="c1" target="_blank">浙江</a>

 <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1007/" title="浙江省" class="c1" target="_blank">浙江省</a> <a href="/tags/1087/" title="湖州" class="c1" target="_blank">湖州</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/1087/" title="湖州" class="c1" target="_blank">湖州</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,在解题时要注意结果的符号是本题的关键.

12.(4分)化简: <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1007/" title="浙江省" class="c1" target="_blank">浙江省</a> <a href="/tags/1087/" title="湖州" class="c1" target="_blank">湖州</a> <a href="/tags/1185/" title="浙江" class="c1" target="_blank">浙江</a>   <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1007/" title="浙江省" class="c1" target="_blank">浙江省</a> <a href="/tags/1087/" title="湖州" class="c1" target="_blank">湖州</a> <a href="/tags/1185/" title="浙江" class="c1" target="_blank">浙江</a>  

【分析】直接将分母分解因式,进而化简得出答案.

【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/1087/" title="湖州" class="c1" target="_blank">湖州</a> <a href="/tags/1185/" title="浙江" class="c1" target="_blank">浙江</a>

 <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1007/" title="浙江省" class="c1" target="_blank">浙江省</a> <a href="/tags/1087/" title="湖州" class="c1" target="_blank">湖州</a> <a href="/tags/1185/" title="浙江" class="c1" target="_blank">浙江</a>

 <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1007/" title="浙江省" class="c1" target="_blank">浙江省</a> <a href="/tags/1087/" title="湖州" class="c1" target="_blank">湖州</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/1087/" title="湖州" class="c1" target="_blank">湖州</a> <a href="/tags/1185/" title="浙江" class="c1" target="_blank">浙江</a>

【点评】此题主要考查了约分,正确分解因式是解题关键.

13.(4分)如图,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/1087/" title="湖州" class="c1" target="_blank">湖州</a> <a href="/tags/1185/" title="浙江" class="c1" target="_blank">浙江</a> 是半圆 <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1007/" title="浙江省" class="c1" target="_blank">浙江省</a> <a href="/tags/1087/" title="湖州" class="c1" target="_blank">湖州</a> <a href="/tags/1185/" title="浙江" class="c1" target="_blank">浙江</a> 的直径,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/1087/" title="湖州" class="c1" target="_blank">湖州</a> <a href="/tags/1185/" title="浙江" class="c1" target="_blank">浙江</a>  <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1007/" title="浙江省" class="c1" target="_blank">浙江省</a> <a href="/tags/1087/" title="湖州" class="c1" target="_blank">湖州</a> <a href="/tags/1185/" title="浙江" class="c1" target="_blank">浙江</a>  <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1007/" title="浙江省" class="c1" target="_blank">浙江省</a> <a href="/tags/1087/" title="湖州" class="c1" target="_blank">湖州</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/1087/" title="湖州" class="c1" target="_blank">湖州</a> <a href="/tags/1185/" title="浙江" class="c1" target="_blank">浙江</a>  <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1007/" title="浙江省" class="c1" target="_blank">浙江省</a> <a href="/tags/1087/" title="湖州" class="c1" target="_blank">湖州</a> <a href="/tags/1185/" title="浙江" class="c1" target="_blank">浙江</a> 之间的距离是 3 

Shape30

【分析】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/1087/" title="湖州" class="c1" target="_blank">湖州</a> <a href="/tags/1185/" title="浙江" class="c1" target="_blank">浙江</a>  <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1007/" title="浙江省" class="c1" target="_blank">浙江省</a> <a href="/tags/1087/" title="湖州" class="c1" target="_blank">湖州</a> <a href="/tags/1185/" title="浙江" class="c1" target="_blank">浙江</a>  <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1007/" title="浙江省" class="c1" target="_blank">浙江省</a> <a href="/tags/1087/" title="湖州" class="c1" target="_blank">湖州</a> <a href="/tags/1185/" title="浙江" class="c1" target="_blank">浙江</a> ,连接 <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1007/" title="浙江省" class="c1" target="_blank">浙江省</a> <a href="/tags/1087/" title="湖州" class="c1" target="_blank">湖州</a> <a href="/tags/1185/" title="浙江" class="c1" target="_blank">浙江</a> ,如图,根据垂径定理得到 <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/1087/" title="湖州" class="c1" target="_blank">湖州</a> <a href="/tags/1185/" title="浙江" class="c1" target="_blank">浙江</a> ,再利用勾股定理计算出 <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/1087/" title="湖州" class="c1" target="_blank">湖州</a> <a href="/tags/1185/" title="浙江" class="c1" target="_blank">浙江</a> ,从而得到 <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/1087/" title="湖州" class="c1" target="_blank">湖州</a> <a href="/tags/1185/" title="浙江" class="c1" target="_blank">浙江</a>  <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1007/" title="浙江省" class="c1" target="_blank">浙江省</a> <a href="/tags/1087/" title="湖州" class="c1" target="_blank">湖州</a> <a href="/tags/1185/" title="浙江" class="c1" target="_blank">浙江</a> 之间的距离.

【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/1087/" title="湖州" class="c1" target="_blank">湖州</a> <a href="/tags/1185/" title="浙江" class="c1" target="_blank">浙江</a>  <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1007/" title="浙江省" class="c1" target="_blank">浙江省</a> <a href="/tags/1087/" title="湖州" class="c1" target="_blank">湖州</a> <a href="/tags/1185/" title="浙江" class="c1" target="_blank">浙江</a>  <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1007/" title="浙江省" class="c1" target="_blank">浙江省</a> <a href="/tags/1087/" title="湖州" class="c1" target="_blank">湖州</a> <a href="/tags/1185/" title="浙江" class="c1" target="_blank">浙江</a> ,连接 <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1007/" title="浙江省" class="c1" target="_blank">浙江省</a> <a href="/tags/1087/" title="湖州" class="c1" target="_blank">湖州</a> <a href="/tags/1185/" title="浙江" class="c1" target="_blank">浙江</a> ,如图,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/1087/" title="湖州" class="c1" target="_blank">湖州</a> <a href="/tags/1185/" title="浙江" class="c1" target="_blank">浙江</a>

 <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1007/" title="浙江省" class="c1" target="_blank">浙江省</a> <a href="/tags/1087/" title="湖州" class="c1" target="_blank">湖州</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/1087/" title="湖州" class="c1" target="_blank">湖州</a> <a href="/tags/1185/" title="浙江" class="c1" target="_blank">浙江</a>

所以 <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/1087/" title="湖州" class="c1" target="_blank">湖州</a> <a href="/tags/1185/" title="浙江" class="c1" target="_blank">浙江</a>  <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1007/" title="浙江省" class="c1" target="_blank">浙江省</a> <a href="/tags/1087/" title="湖州" class="c1" target="_blank">湖州</a> <a href="/tags/1185/" title="浙江" class="c1" target="_blank">浙江</a> 之间的距离是3

故答案为3

Shape31

【点评】本题考查了垂径定理:垂直于弦的直径平分这条弦,并且平分弦所对的两条弧.

14.(4分)在一个布袋里放有1个白球和2个红球,它们除颜色外其余都相同,从布袋里摸出1个球,记下颜色后放回,搅匀,再摸出1个球.将2个红球分别记为红Ⅰ,红Ⅱ,两次摸球的所有可能的结果如表所示,

第二次

第一次

红Ⅰ

红Ⅱ

白,白

白,红Ⅰ

白,红Ⅱ

红Ⅰ

红Ⅰ,白

红Ⅰ,红Ⅰ

红Ⅰ,红Ⅱ

红Ⅱ

红Ⅱ,白

红Ⅱ,红Ⅰ

红Ⅱ,红Ⅱ

则两次摸出的球都是红球的概率是  <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/1087/" title="湖州" class="c1" target="_blank">湖州</a> <a href="/tags/1185/" title="浙江" class="c1" target="_blank">浙江</a>  

【分析】根据图表可知共有9种等可能的结果,再找出两次摸出的球都是红球的情况数,然后根据概率公式即可得出答案.

【解答】解:根据图表给可知,共有9种等可能的结果,两次摸出的球都是红球的有4种,

则两次摸出的球都是红球的概率为 <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/1087/" title="湖州" class="c1" target="_blank">湖州</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/1087/" title="湖州" class="c1" target="_blank">湖州</a> <a href="/tags/1185/" title="浙江" class="c1" target="_blank">浙江</a>

【点评】此题考查的是列表法求概率.用到的知识点为:概率 <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1007/" title="浙江省" class="c1" target="_blank">浙江省</a> <a href="/tags/1087/" title="湖州" class="c1" target="_blank">湖州</a> <a href="/tags/1185/" title="浙江" class="c1" target="_blank">浙江</a> 所求情况数与总情况数之比.

15.(4分)在每个小正方形的边长为1的网格图形中,每个小正方形的顶点称为格点,顶点都是格点的三角形称为格点三角形.如图,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/1087/" title="湖州" class="c1" target="_blank">湖州</a> <a href="/tags/1185/" title="浙江" class="c1" target="_blank">浙江</a>  <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1007/" title="浙江省" class="c1" target="_blank">浙江省</a> <a href="/tags/1087/" title="湖州" class="c1" target="_blank">湖州</a> <a href="/tags/1185/" title="浙江" class="c1" target="_blank">浙江</a> 网格图形中的格点三角形,则该图中所有与 <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/1087/" title="湖州" class="c1" target="_blank">湖州</a> <a href="/tags/1185/" title="浙江" class="c1" target="_blank">浙江</a> 相似的格点三角形中.面积最大的三角形的斜边长是  <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/1087/" title="湖州" class="c1" target="_blank">湖州</a> <a href="/tags/1185/" title="浙江" class="c1" target="_blank">浙江</a>  

Shape32

【分析】根据 <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1007/" title="浙江省" class="c1" target="_blank">浙江省</a> <a href="/tags/1087/" title="湖州" class="c1" target="_blank">湖州</a> <a href="/tags/1185/" title="浙江" class="c1" target="_blank">浙江</a> 的各边长得出与其相似的三角形的两直角边之比为 <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1007/" title="浙江省" class="c1" target="_blank">浙江省</a> <a href="/tags/1087/" title="湖州" class="c1" target="_blank">湖州</a> <a href="/tags/1185/" title="浙江" class="c1" target="_blank">浙江</a> ,在 <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1007/" title="浙江省" class="c1" target="_blank">浙江省</a> <a href="/tags/1087/" title="湖州" class="c1" target="_blank">湖州</a> <a href="/tags/1185/" title="浙江" class="c1" target="_blank">浙江</a> 的网格图形中可得出与 <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/1087/" title="湖州" class="c1" target="_blank">湖州</a> <a href="/tags/1185/" title="浙江" class="c1" target="_blank">浙江</a> 相似的三角形的短直角边长应小于4,在图中尝试可画出符合题意的最大三角形,从而其斜边长可得.

【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/1087/" title="湖州" class="c1" target="_blank">湖州</a> <a href="/tags/1185/" title="浙江" class="c1" target="_blank">浙江</a>  <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1007/" title="浙江省" class="c1" target="_blank">浙江省</a> <a href="/tags/1087/" title="湖州" class="c1" target="_blank">湖州</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/1087/" title="湖州" class="c1" target="_blank">湖州</a> <a href="/tags/1185/" title="浙江" class="c1" target="_blank">浙江</a>  <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1007/" title="浙江省" class="c1" target="_blank">浙江省</a> <a href="/tags/1087/" title="湖州" class="c1" target="_blank">湖州</a> <a href="/tags/1185/" title="浙江" class="c1" target="_blank">浙江</a>

 <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1007/" title="浙江省" class="c1" target="_blank">浙江省</a> <a href="/tags/1087/" title="湖州" class="c1" target="_blank">湖州</a> <a href="/tags/1185/" title="浙江" class="c1" target="_blank">浙江</a>  <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1007/" title="浙江省" class="c1" target="_blank">浙江省</a> <a href="/tags/1087/" title="湖州" class="c1" target="_blank">湖州</a> <a href="/tags/1185/" title="浙江" class="c1" target="_blank">浙江</a>

 <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1007/" title="浙江省" class="c1" target="_blank">浙江省</a> <a href="/tags/1087/" title="湖州" class="c1" target="_blank">湖州</a> <a href="/tags/1185/" title="浙江" class="c1" target="_blank">浙江</a>  <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1007/" title="浙江省" class="c1" target="_blank">浙江省</a> <a href="/tags/1087/" title="湖州" class="c1" target="_blank">湖州</a> <a href="/tags/1185/" title="浙江" class="c1" target="_blank">浙江</a> 相似的格点三角形的两直角边的比值为 <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/1087/" title="湖州" class="c1" target="_blank">湖州</a> <a href="/tags/1185/" title="浙江" class="c1" target="_blank">浙江</a>

Shape33

若该三角形最短边长为4,则另一直角边长为8,但在 <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/1087/" title="湖州" class="c1" target="_blank">湖州</a> <a href="/tags/1185/" title="浙江" class="c1" target="_blank">浙江</a> 网格图形中,最长线段为 <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/1087/" title="湖州" class="c1" target="_blank">湖州</a> <a href="/tags/1185/" title="浙江" class="c1" target="_blank">浙江</a> ,但此时画出的直角三角形为等腰直角三角形,从而画不出端点都在格点且长为8的线段,故最短直角边长应小于4,在图中尝试,可画出 <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/1087/" title="湖州" class="c1" target="_blank">湖州</a> <a href="/tags/1185/" title="浙江" class="c1" target="_blank">浙江</a>  <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1007/" title="浙江省" class="c1" target="_blank">浙江省</a> <a href="/tags/1087/" title="湖州" class="c1" target="_blank">湖州</a> <a href="/tags/1185/" title="浙江" class="c1" target="_blank">浙江</a>  <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1007/" title="浙江省" class="c1" target="_blank">浙江省</a> <a href="/tags/1087/" title="湖州" class="c1" target="_blank">湖州</a> <a href="/tags/1185/" title="浙江" class="c1" target="_blank">浙江</a> 的三角形,

 <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/1087/" title="湖州" class="c1" target="_blank">湖州</a> <a href="/tags/1185/" title="浙江" class="c1" target="_blank">浙江</a>  <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1007/" title="浙江省" class="c1" target="_blank">浙江省</a> <a href="/tags/1087/" title="湖州" class="c1" target="_blank">湖州</a> <a href="/tags/1185/" title="浙江" class="c1" target="_blank">浙江</a>

 <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1007/" title="浙江省" class="c1" target="_blank">浙江省</a> <a href="/tags/1087/" title="湖州" class="c1" target="_blank">湖州</a> <a href="/tags/1185/" title="浙江" class="c1" target="_blank">浙江</a>

 <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1007/" title="浙江省" class="c1" target="_blank">浙江省</a> <a href="/tags/1087/" title="湖州" class="c1" target="_blank">湖州</a> <a href="/tags/1185/" title="浙江" class="c1" target="_blank">浙江</a>

 <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1007/" title="浙江省" class="c1" target="_blank">浙江省</a> <a href="/tags/1087/" title="湖州" class="c1" target="_blank">湖州</a> <a href="/tags/1185/" title="浙江" class="c1" target="_blank">浙江</a> 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/1087/" title="湖州" class="c1" target="_blank">湖州</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/1087/" title="湖州" class="c1" target="_blank">湖州</a> <a href="/tags/1185/" title="浙江" class="c1" target="_blank">浙江</a>  <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1007/" title="浙江省" class="c1" target="_blank">浙江省</a> <a href="/tags/1087/" title="湖州" class="c1" target="_blank">湖州</a> <a href="/tags/1185/" title="浙江" class="c1" target="_blank">浙江</a> 为面积最大的三角形,其斜边长为: <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/1087/" title="湖州" class="c1" target="_blank">湖州</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/1087/" title="湖州" class="c1" target="_blank">湖州</a> <a href="/tags/1185/" title="浙江" class="c1" target="_blank">浙江</a>

【点评】本题考查了相似三角形的判定,明确相似三角形的判定定理并数形结合是解题的关键.

16.(4分)如图,已知在平面直角坐标系 <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1007/" title="浙江省" class="c1" target="_blank">浙江省</a> <a href="/tags/1087/" title="湖州" class="c1" target="_blank">湖州</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/1087/" title="湖州" class="c1" target="_blank">湖州</a> <a href="/tags/1185/" title="浙江" class="c1" target="_blank">浙江</a> 的直角顶点 <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/1087/" title="湖州" class="c1" target="_blank">湖州</a> <a href="/tags/1185/" title="浙江" class="c1" target="_blank">浙江</a>  <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1007/" title="浙江省" class="c1" target="_blank">浙江省</a> <a href="/tags/1087/" title="湖州" class="c1" target="_blank">湖州</a> <a href="/tags/1185/" title="浙江" class="c1" target="_blank">浙江</a> 轴的正半轴上,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/1087/" title="湖州" class="c1" target="_blank">湖州</a> <a href="/tags/1185/" title="浙江" class="c1" target="_blank">浙江</a> 在第一象限,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/1087/" title="湖州" class="c1" target="_blank">湖州</a> <a href="/tags/1185/" title="浙江" class="c1" target="_blank">浙江</a> 的图象经过 <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/1087/" title="湖州" class="c1" target="_blank">湖州</a> <a href="/tags/1185/" title="浙江" class="c1" target="_blank">浙江</a> 的中点 <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1007/" title="浙江省" class="c1" target="_blank">浙江省</a> <a href="/tags/1087/" title="湖州" class="c1" target="_blank">湖州</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/1087/" title="湖州" class="c1" target="_blank">湖州</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/1087/" title="湖州" class="c1" target="_blank">湖州</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/1087/" title="湖州" class="c1" target="_blank">湖州</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/1087/" title="湖州" class="c1" target="_blank">湖州</a> <a href="/tags/1185/" title="浙江" class="c1" target="_blank">浙江</a> 的面积是2,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/1087/" title="湖州" class="c1" target="_blank">湖州</a> <a href="/tags/1185/" title="浙江" class="c1" target="_blank">浙江</a> 的值是  <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/1087/" title="湖州" class="c1" target="_blank">湖州</a> <a href="/tags/1185/" title="浙江" class="c1" target="_blank">浙江</a>  

Shape34

【分析】作辅助线,构建直角三角形,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/1087/" title="湖州" class="c1" target="_blank">湖州</a> <a href="/tags/1185/" title="浙江" class="c1" target="_blank">浙江</a> 的几何意义得到 <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/1087/" title="湖州" class="c1" target="_blank">湖州</a> <a href="/tags/1185/" title="浙江" class="c1" target="_blank">浙江</a> ,根据 <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1007/" title="浙江省" class="c1" target="_blank">浙江省</a> <a href="/tags/1087/" title="湖州" class="c1" target="_blank">湖州</a> <a href="/tags/1185/" title="浙江" class="c1" target="_blank">浙江</a> 的中点 <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1007/" title="浙江省" class="c1" target="_blank">浙江省</a> <a href="/tags/1087/" title="湖州" class="c1" target="_blank">湖州</a> <a href="/tags/1185/" title="浙江" class="c1" target="_blank">浙江</a> ,利用 <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1007/" title="浙江省" class="c1" target="_blank">浙江省</a> <a href="/tags/1087/" title="湖州" class="c1" target="_blank">湖州</a> <a href="/tags/1185/" title="浙江" class="c1" target="_blank">浙江</a> 得到面积比为 <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1007/" title="浙江省" class="c1" target="_blank">浙江省</a> <a href="/tags/1087/" title="湖州" class="c1" target="_blank">湖州</a> <a href="/tags/1185/" title="浙江" class="c1" target="_blank">浙江</a> ,代入可得结论.

【解答】解:连接 <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1007/" title="浙江省" class="c1" target="_blank">浙江省</a> <a href="/tags/1087/" title="湖州" class="c1" target="_blank">湖州</a> <a href="/tags/1185/" title="浙江" class="c1" target="_blank">浙江</a> ,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/1087/" title="湖州" class="c1" target="_blank">湖州</a> <a href="/tags/1185/" title="浙江" class="c1" target="_blank">浙江</a>  <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1007/" title="浙江省" class="c1" target="_blank">浙江省</a> <a href="/tags/1087/" title="湖州" class="c1" target="_blank">湖州</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/1087/" title="湖州" class="c1" target="_blank">湖州</a> <a href="/tags/1185/" title="浙江" class="c1" target="_blank">浙江</a> 轴于 <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/1087/" title="湖州" class="c1" target="_blank">湖州</a> <a href="/tags/1185/" title="浙江" class="c1" target="_blank">浙江</a>

Shape35

 <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1007/" title="浙江省" class="c1" target="_blank">浙江省</a> <a href="/tags/1087/" title="湖州" class="c1" target="_blank">湖州</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/1087/" title="湖州" class="c1" target="_blank">湖州</a> <a href="/tags/1185/" title="浙江" class="c1" target="_blank">浙江</a> 的图象经过 <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/1087/" title="湖州" class="c1" target="_blank">湖州</a> <a href="/tags/1185/" title="浙江" class="c1" target="_blank">浙江</a> 的中点 <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1007/" title="浙江省" class="c1" target="_blank">浙江省</a> <a href="/tags/1087/" title="湖州" class="c1" target="_blank">湖州</a> <a href="/tags/1185/" title="浙江" class="c1" target="_blank">浙江</a>

 <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1007/" title="浙江省" class="c1" target="_blank">浙江省</a> <a href="/tags/1087/" title="湖州" class="c1" target="_blank">湖州</a> <a href="/tags/1185/" title="浙江" class="c1" target="_blank">浙江</a>  <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1007/" title="浙江省" class="c1" target="_blank">浙江省</a> <a href="/tags/1087/" title="湖州" class="c1" target="_blank">湖州</a> <a href="/tags/1185/" title="浙江" class="c1" target="_blank">浙江</a>

 <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1007/" title="浙江省" class="c1" target="_blank">浙江省</a> <a href="/tags/1087/" title="湖州" class="c1" target="_blank">湖州</a> <a href="/tags/1185/" title="浙江" class="c1" target="_blank">浙江</a>

 <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1007/" title="浙江省" class="c1" target="_blank">浙江省</a> <a href="/tags/1087/" title="湖州" class="c1" target="_blank">湖州</a> <a href="/tags/1185/" title="浙江" class="c1" target="_blank">浙江</a>

 <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1007/" title="浙江省" class="c1" target="_blank">浙江省</a> <a href="/tags/1087/" title="湖州" class="c1" target="_blank">湖州</a> <a href="/tags/1185/" title="浙江" class="c1" target="_blank">浙江</a>  <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1007/" title="浙江省" class="c1" target="_blank">浙江省</a> <a href="/tags/1087/" title="湖州" class="c1" target="_blank">湖州</a> <a href="/tags/1185/" title="浙江" class="c1" target="_blank">浙江</a>

 <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1007/" title="浙江省" class="c1" target="_blank">浙江省</a> <a href="/tags/1087/" title="湖州" class="c1" target="_blank">湖州</a> <a href="/tags/1185/" title="浙江" class="c1" target="_blank">浙江</a>

 <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1007/" title="浙江省" class="c1" target="_blank">浙江省</a> <a href="/tags/1087/" title="湖州" class="c1" target="_blank">湖州</a> <a href="/tags/1185/" title="浙江" class="c1" target="_blank">浙江</a>

 <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1007/" title="浙江省" class="c1" target="_blank">浙江省</a> <a href="/tags/1087/" title="湖州" class="c1" target="_blank">湖州</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/1087/" title="湖州" class="c1" target="_blank">湖州</a> <a href="/tags/1185/" title="浙江" class="c1" target="_blank">浙江</a>

【点评】本题考查了反比例函数比例系数 <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/1087/" title="湖州" class="c1" target="_blank">湖州</a> <a href="/tags/1185/" title="浙江" class="c1" target="_blank">浙江</a> 的几何意义:在反比例函数 <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/1087/" title="湖州" class="c1" target="_blank">湖州</a> <a href="/tags/1185/" title="浙江" class="c1" target="_blank">浙江</a> 图象中任取一点,过这一个点向 <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1007/" title="浙江省" class="c1" target="_blank">浙江省</a> <a href="/tags/1087/" title="湖州" class="c1" target="_blank">湖州</a> <a href="/tags/1185/" title="浙江" class="c1" target="_blank">浙江</a> 轴和 <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1007/" title="浙江省" class="c1" target="_blank">浙江省</a> <a href="/tags/1087/" title="湖州" class="c1" target="_blank">湖州</a> <a href="/tags/1185/" title="浙江" class="c1" target="_blank">浙江</a> 轴分别作垂线,与坐标轴围成的矩形的面积是定值 <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/1087/" title="湖州" class="c1" target="_blank">湖州</a> <a href="/tags/1185/" title="浙江" class="c1" target="_blank">浙江</a> .在反比例函数的图象上任意一点向坐标轴作垂线,这一点和垂足以及坐标原点所构成的三角形的面积是 <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1007/" title="浙江省" class="c1" target="_blank">浙江省</a> <a href="/tags/1087/" title="湖州" class="c1" target="_blank">湖州</a> <a href="/tags/1185/" title="浙江" class="c1" target="_blank">浙江</a> ,且保持不变.也考查了相似三角形的判定与性质.

三、解答题(本题有8小题,共66分)

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/1087/" title="湖州" class="c1" target="_blank">湖州</a> <a href="/tags/1185/" title="浙江" class="c1" target="_blank">浙江</a>

【分析】首先利用二次根式的性质化简二次根式,利用绝对值的性质计算绝对值,然后再算加减即可.

【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/1087/" title="湖州" class="c1" target="_blank">湖州</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的加减,关键是掌握计算顺序,掌握二次根式相加减,先把各个二次根式化成最简二次根式,再把被开方数相同的二次根式进行合并,合并方法为系数相加减,根式不变.

18.(6分)解不等式组 <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/1087/" title="湖州" class="c1" target="_blank">湖州</a> <a href="/tags/1185/" title="浙江" class="c1" target="_blank">浙江</a>

【分析】先求出不等式组中每一个不等式的解集,再求出它们的公共部分即可求解.

【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/1087/" title="湖州" class="c1" target="_blank">湖州</a> <a href="/tags/1185/" title="浙江" class="c1" target="_blank">浙江</a>

 <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1007/" title="浙江省" class="c1" target="_blank">浙江省</a> <a href="/tags/1087/" title="湖州" class="c1" target="_blank">湖州</a> <a href="/tags/1185/" title="浙江" class="c1" target="_blank">浙江</a>

 <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1007/" title="浙江省" class="c1" target="_blank">浙江省</a> <a href="/tags/1087/" title="湖州" class="c1" target="_blank">湖州</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/1087/" title="湖州" class="c1" target="_blank">湖州</a> <a href="/tags/1185/" title="浙江" class="c1" target="_blank">浙江</a>

【点评】考查了解一元一次不等式组,解集的规律:同大取大;同小取小;大小小大中间找;大大小小找不到.

19.(6分)有一种升降熨烫台如图1所示,其原理是通过改变两根支撑杆夹角的度数来调整熨烫台的高度.图2是这种升降熨烫台的平面示意图. <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/1087/" title="湖州" class="c1" target="_blank">湖州</a> <a href="/tags/1185/" title="浙江" class="c1" target="_blank">浙江</a>  <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1007/" title="浙江省" class="c1" target="_blank">浙江省</a> <a href="/tags/1087/" title="湖州" class="c1" target="_blank">湖州</a> <a href="/tags/1185/" title="浙江" class="c1" target="_blank">浙江</a> 是两根相同长度的活动支撑杆,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/1087/" title="湖州" class="c1" target="_blank">湖州</a> <a href="/tags/1185/" title="浙江" class="c1" target="_blank">浙江</a> 是它们的连接点, <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/1087/" title="湖州" class="c1" target="_blank">湖州</a> <a href="/tags/1185/" title="浙江" class="c1" target="_blank">浙江</a>  <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1007/" title="浙江省" class="c1" target="_blank">浙江省</a> <a href="/tags/1087/" title="湖州" class="c1" target="_blank">湖州</a> <a href="/tags/1185/" title="浙江" class="c1" target="_blank">浙江</a> 表示熨烫台的高度.

1)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/1087/" title="湖州" class="c1" target="_blank">湖州</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/1087/" title="湖州" class="c1" target="_blank">湖州</a> <a href="/tags/1185/" title="浙江" class="c1" target="_blank">浙江</a>  <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1007/" title="浙江省" class="c1" target="_blank">浙江省</a> <a href="/tags/1087/" title="湖州" class="c1" target="_blank">湖州</a> <a href="/tags/1185/" title="浙江" class="c1" target="_blank">浙江</a> ,求 <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1007/" title="浙江省" class="c1" target="_blank">浙江省</a> <a href="/tags/1087/" title="湖州" class="c1" target="_blank">湖州</a> <a href="/tags/1185/" title="浙江" class="c1" target="_blank">浙江</a> 的值;

2)爱动脑筋的小明发现,当家里这种升降熨烫台的高度为 <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1007/" title="浙江省" class="c1" target="_blank">浙江省</a> <a href="/tags/1087/" title="湖州" class="c1" target="_blank">湖州</a> <a href="/tags/1185/" title="浙江" class="c1" target="_blank">浙江</a> 时,两根支撑杆的夹角 <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/1087/" title="湖州" class="c1" target="_blank">湖州</a> <a href="/tags/1185/" title="浙江" class="c1" target="_blank">浙江</a>  <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1007/" title="浙江省" class="c1" target="_blank">浙江省</a> <a href="/tags/1087/" title="湖州" class="c1" target="_blank">湖州</a> <a href="/tags/1185/" title="浙江" class="c1" target="_blank">浙江</a> (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/1087/" title="湖州" class="c1" target="_blank">湖州</a> <a href="/tags/1185/" title="浙江" class="c1" target="_blank">浙江</a> .求该熨烫台支撑杆 <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/1087/" title="湖州" class="c1" target="_blank">湖州</a> <a href="/tags/1185/" title="浙江" class="c1" target="_blank">浙江</a> 的长度(结果精确到 <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1007/" title="浙江省" class="c1" target="_blank">浙江省</a> <a href="/tags/1087/" title="湖州" class="c1" target="_blank">湖州</a> <a href="/tags/1185/" title="浙江" class="c1" target="_blank">浙江</a>

(参考数据: <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1007/" title="浙江省" class="c1" target="_blank">浙江省</a> <a href="/tags/1087/" title="湖州" class="c1" target="_blank">湖州</a> <a href="/tags/1185/" title="浙江" class="c1" target="_blank">浙江</a>  <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1007/" title="浙江省" class="c1" target="_blank">浙江省</a> <a href="/tags/1087/" title="湖州" class="c1" target="_blank">湖州</a> <a href="/tags/1185/" title="浙江" class="c1" target="_blank">浙江</a>  <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1007/" title="浙江省" class="c1" target="_blank">浙江省</a> <a href="/tags/1087/" title="湖州" class="c1" target="_blank">湖州</a> <a href="/tags/1185/" title="浙江" class="c1" target="_blank">浙江</a>  <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1007/" title="浙江省" class="c1" target="_blank">浙江省</a> <a href="/tags/1087/" title="湖州" class="c1" target="_blank">湖州</a> <a href="/tags/1185/" title="浙江" class="c1" target="_blank">浙江</a>  <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1007/" title="浙江省" class="c1" target="_blank">浙江省</a> <a href="/tags/1087/" title="湖州" class="c1" target="_blank">湖州</a> <a href="/tags/1185/" title="浙江" class="c1" target="_blank">浙江</a>

Shape36

【分析】1)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/1087/" title="湖州" class="c1" target="_blank">湖州</a> <a href="/tags/1185/" title="浙江" class="c1" target="_blank">浙江</a>  <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1007/" title="浙江省" class="c1" target="_blank">浙江省</a> <a href="/tags/1087/" title="湖州" class="c1" target="_blank">湖州</a> <a href="/tags/1185/" title="浙江" class="c1" target="_blank">浙江</a>  <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1007/" title="浙江省" class="c1" target="_blank">浙江省</a> <a href="/tags/1087/" title="湖州" class="c1" target="_blank">湖州</a> <a href="/tags/1185/" title="浙江" class="c1" target="_blank">浙江</a> ,根据等腰三角形的性质得到 <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1007/" title="浙江省" class="c1" target="_blank">浙江省</a> <a href="/tags/1087/" title="湖州" class="c1" target="_blank">湖州</a> <a href="/tags/1185/" title="浙江" class="c1" target="_blank">浙江</a> ,根据三角函数的定义即可得到结论;

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/1087/" title="湖州" class="c1" target="_blank">湖州</a> <a href="/tags/1185/" title="浙江" class="c1" target="_blank">浙江</a>  <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1007/" title="浙江省" class="c1" target="_blank">浙江省</a> <a href="/tags/1087/" title="湖州" class="c1" target="_blank">湖州</a> <a href="/tags/1185/" title="浙江" class="c1" target="_blank">浙江</a>  <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1007/" title="浙江省" class="c1" target="_blank">浙江省</a> <a href="/tags/1087/" title="湖州" class="c1" target="_blank">湖州</a> <a href="/tags/1185/" title="浙江" class="c1" target="_blank">浙江</a> ,根据等腰三角形的性质和三角函数的定义即可得到结论.

【解答】解:(1)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/1087/" title="湖州" class="c1" target="_blank">湖州</a> <a href="/tags/1185/" title="浙江" class="c1" target="_blank">浙江</a>  <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1007/" title="浙江省" class="c1" target="_blank">浙江省</a> <a href="/tags/1087/" title="湖州" class="c1" target="_blank">湖州</a> <a href="/tags/1185/" title="浙江" class="c1" target="_blank">浙江</a>  <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1007/" title="浙江省" class="c1" target="_blank">浙江省</a> <a href="/tags/1087/" title="湖州" class="c1" target="_blank">湖州</a> <a href="/tags/1185/" title="浙江" class="c1" target="_blank">浙江</a>

 <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1007/" title="浙江省" class="c1" target="_blank">浙江省</a> <a href="/tags/1087/" title="湖州" class="c1" target="_blank">湖州</a> <a href="/tags/1185/" title="浙江" class="c1" target="_blank">浙江</a>  <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1007/" title="浙江省" class="c1" target="_blank">浙江省</a> <a href="/tags/1087/" title="湖州" class="c1" target="_blank">湖州</a> <a href="/tags/1185/" title="浙江" class="c1" target="_blank">浙江</a>

 <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1007/" title="浙江省" class="c1" target="_blank">浙江省</a> <a href="/tags/1087/" title="湖州" class="c1" target="_blank">湖州</a> <a href="/tags/1185/" title="浙江" class="c1" target="_blank">浙江</a>

 <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1007/" title="浙江省" class="c1" target="_blank">浙江省</a> <a href="/tags/1087/" title="湖州" class="c1" target="_blank">湖州</a> <a href="/tags/1185/" title="浙江" class="c1" target="_blank">浙江</a>

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/1087/" title="湖州" class="c1" target="_blank">湖州</a> <a href="/tags/1185/" title="浙江" class="c1" target="_blank">浙江</a>  <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1007/" title="浙江省" class="c1" target="_blank">浙江省</a> <a href="/tags/1087/" title="湖州" class="c1" target="_blank">湖州</a> <a href="/tags/1185/" title="浙江" class="c1" target="_blank">浙江</a>  <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1007/" title="浙江省" class="c1" target="_blank">浙江省</a> <a href="/tags/1087/" title="湖州" class="c1" target="_blank">湖州</a> <a href="/tags/1185/" title="浙江" class="c1" target="_blank">浙江</a>

 <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1007/" title="浙江省" class="c1" target="_blank">浙江省</a> <a href="/tags/1087/" title="湖州" class="c1" target="_blank">湖州</a> <a href="/tags/1185/" title="浙江" class="c1" target="_blank">浙江</a>  <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1007/" title="浙江省" class="c1" target="_blank">浙江省</a> <a href="/tags/1087/" title="湖州" class="c1" target="_blank">湖州</a> <a href="/tags/1185/" title="浙江" class="c1" target="_blank">浙江</a>

 <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1007/" title="浙江省" class="c1" target="_blank">浙江省</a> <a href="/tags/1087/" title="湖州" class="c1" target="_blank">湖州</a> <a href="/tags/1185/" title="浙江" class="c1" target="_blank">浙江</a>

 <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1007/" title="浙江省" class="c1" target="_blank">浙江省</a> <a href="/tags/1087/" title="湖州" class="c1" target="_blank">湖州</a> <a href="/tags/1185/" title="浙江" class="c1" target="_blank">浙江</a>

即该熨烫台支撑杆 <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/1087/" title="湖州" class="c1" target="_blank">湖州</a> <a href="/tags/1185/" title="浙江" class="c1" target="_blank">浙江</a> 的长度约为 <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/1087/" title="湖州" class="c1" target="_blank">湖州</a> <a href="/tags/1185/" title="浙江" class="c1" target="_blank">浙江</a>

Shape37

【点评】本题考查了解直角三角形的应用,等腰三角形的性质,正确的识别图形是解题的关键.

20.(8分)为了解学生对网上在线学习效果的满意度,某校设置了:非常满意、满意、基本满意、不满意四个选项,随机抽查了部分学生,要求每名学生都只选其中的一项,并将抽查结果绘制成如图统计图(不完整).

Shape38

请根据图中信息解答下列问题:

1)求被抽查的学生人数,并补全条形统计图;(温馨提示:请画在答题卷相对应的图上)

2)求扇形统计图中表示“满意”的扇形的圆心角度数;

3)若该校共有1000名学生参与网上在线学习,根据抽查结果,试估计该校对学习效果的满意度是“非常满意”或“满意”的学生共有多少人?

【分析】1)从两个统计图中可知,在抽查人数中,“非常满意”的人数为20人,占调查人数的 <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1007/" title="浙江省" class="c1" target="_blank">浙江省</a> <a href="/tags/1087/" title="湖州" class="c1" target="_blank">湖州</a> <a href="/tags/1185/" title="浙江" class="c1" target="_blank">浙江</a> ,可求出调查人数,进而求出“基本满意”的人数,即可补全条形统计图;

2)样本中“满意”占调查人数的 <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1007/" title="浙江省" class="c1" target="_blank">浙江省</a> <a href="/tags/1087/" title="湖州" class="c1" target="_blank">湖州</a> <a href="/tags/1185/" title="浙江" class="c1" target="_blank">浙江</a> ,即 <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1007/" title="浙江省" class="c1" target="_blank">浙江省</a> <a href="/tags/1087/" title="湖州" class="c1" target="_blank">湖州</a> <a href="/tags/1185/" title="浙江" class="c1" target="_blank">浙江</a> ,因此相应的圆心角的度数为 <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1007/" title="浙江省" class="c1" target="_blank">浙江省</a> <a href="/tags/1087/" title="湖州" class="c1" target="_blank">湖州</a> <a href="/tags/1185/" title="浙江" class="c1" target="_blank">浙江</a>  <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1007/" title="浙江省" class="c1" target="_blank">浙江省</a> <a href="/tags/1087/" title="湖州" class="c1" target="_blank">湖州</a> <a href="/tags/1185/" title="浙江" class="c1" target="_blank">浙江</a>

3)样本中“非常满意”或“满意”的占调查人数的 <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1007/" title="浙江省" class="c1" target="_blank">浙江省</a> <a href="/tags/1087/" title="湖州" class="c1" target="_blank">湖州</a> <a href="/tags/1185/" title="浙江" class="c1" target="_blank">浙江</a> ,进而估计总体中“非常满意”或“满意”的人数.

【解答】解:(1)抽查的学生数: <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/1087/" title="湖州" class="c1" target="_blank">湖州</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/1087/" title="湖州" class="c1" target="_blank">湖州</a> <a href="/tags/1185/" title="浙江" class="c1" target="_blank">浙江</a>

抽查人数中“基本满意”人数: <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/1087/" title="湖州" class="c1" target="_blank">湖州</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/1087/" title="湖州" class="c1" target="_blank">湖州</a> <a href="/tags/1185/" title="浙江" class="c1" target="_blank">浙江</a> ,补全的条形统计图如图所示:

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/1087/" title="湖州" class="c1" target="_blank">湖州</a> <a href="/tags/1185/" title="浙江" class="c1" target="_blank">浙江</a>

答:扇形统计图中表示“满意”的扇形的圆心角度数为 <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1007/" title="浙江省" class="c1" target="_blank">浙江省</a> <a href="/tags/1087/" title="湖州" class="c1" target="_blank">湖州</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/1087/" title="湖州" class="c1" target="_blank">湖州</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/1087/" title="湖州" class="c1" target="_blank">湖州</a> <a href="/tags/1185/" title="浙江" class="c1" target="_blank">浙江</a>

答:该校共有1000名学生中“非常满意”或“满意”的约有700人.

Shape39

【点评】考查扇形统计图、条形统计图的意义和制作方法,从统计图中获取数量和数量之间的关系,是解决问题的前提,样本估计总体是统计中常用的方法.

21.(8分)如图,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/1087/" title="湖州" class="c1" target="_blank">湖州</a> <a href="/tags/1185/" title="浙江" class="c1" target="_blank">浙江</a>  <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1007/" title="浙江省" class="c1" target="_blank">浙江省</a> <a href="/tags/1087/" title="湖州" class="c1" target="_blank">湖州</a> <a href="/tags/1185/" title="浙江" class="c1" target="_blank">浙江</a> 的内接三角形, <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/1087/" title="湖州" class="c1" target="_blank">湖州</a> <a href="/tags/1185/" title="浙江" class="c1" target="_blank">浙江</a>  <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1007/" title="浙江省" class="c1" target="_blank">浙江省</a> <a href="/tags/1087/" title="湖州" class="c1" target="_blank">湖州</a> <a href="/tags/1185/" title="浙江" class="c1" target="_blank">浙江</a> 的直径,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/1087/" title="湖州" class="c1" target="_blank">湖州</a> <a href="/tags/1185/" title="浙江" class="c1" target="_blank">浙江</a>  <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1007/" title="浙江省" class="c1" target="_blank">浙江省</a> <a href="/tags/1087/" title="湖州" class="c1" target="_blank">湖州</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/1087/" title="湖州" class="c1" target="_blank">湖州</a> <a href="/tags/1185/" title="浙江" class="c1" target="_blank">浙江</a>

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/1087/" title="湖州" class="c1" target="_blank">湖州</a> <a href="/tags/1185/" title="浙江" class="c1" target="_blank">浙江</a>

2)若 <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1007/" title="浙江省" class="c1" target="_blank">浙江省</a> <a href="/tags/1087/" title="湖州" class="c1" target="_blank">湖州</a> <a href="/tags/1185/" title="浙江" class="c1" target="_blank">浙江</a> ,求 <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1007/" title="浙江省" class="c1" target="_blank">浙江省</a> <a href="/tags/1087/" title="湖州" class="c1" target="_blank">湖州</a> <a href="/tags/1185/" title="浙江" class="c1" target="_blank">浙江</a> 的长.

Shape40

【分析】1)由角平分线的性质和圆周角定理可得 <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/1087/" title="湖州" class="c1" target="_blank">湖州</a> <a href="/tags/1185/" title="浙江" class="c1" target="_blank">浙江</a>

2)由圆周角定理可得 <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/1087/" title="湖州" class="c1" target="_blank">湖州</a> <a href="/tags/1185/" title="浙江" class="c1" target="_blank">浙江</a> ,由弧长公式可求解.

【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/1087/" title="湖州" class="c1" target="_blank">湖州</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/1087/" title="湖州" class="c1" target="_blank">湖州</a> <a href="/tags/1185/" title="浙江" class="c1" target="_blank">浙江</a>

 <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1007/" title="浙江省" class="c1" target="_blank">浙江省</a> <a href="/tags/1087/" title="湖州" class="c1" target="_blank">湖州</a> <a href="/tags/1185/" title="浙江" class="c1" target="_blank">浙江</a>

 <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1007/" title="浙江省" class="c1" target="_blank">浙江省</a> <a href="/tags/1087/" title="湖州" class="c1" target="_blank">湖州</a> <a href="/tags/1185/" title="浙江" class="c1" target="_blank">浙江</a>

 <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1007/" title="浙江省" class="c1" target="_blank">浙江省</a> <a href="/tags/1087/" title="湖州" class="c1" target="_blank">湖州</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/1087/" title="湖州" class="c1" target="_blank">湖州</a> <a href="/tags/1185/" title="浙江" class="c1" target="_blank">浙江</a>

 <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1007/" title="浙江省" class="c1" target="_blank">浙江省</a> <a href="/tags/1087/" title="湖州" class="c1" target="_blank">湖州</a> <a href="/tags/1185/" title="浙江" class="c1" target="_blank">浙江</a>  <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1007/" title="浙江省" class="c1" target="_blank">浙江省</a> <a href="/tags/1087/" title="湖州" class="c1" target="_blank">湖州</a> <a href="/tags/1185/" title="浙江" class="c1" target="_blank">浙江</a>

 <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1007/" title="浙江省" class="c1" target="_blank">浙江省</a> <a href="/tags/1087/" title="湖州" class="c1" target="_blank">湖州</a> <a href="/tags/1185/" title="浙江" class="c1" target="_blank">浙江</a>  <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1007/" title="浙江省" class="c1" target="_blank">浙江省</a> <a href="/tags/1087/" title="湖州" class="c1" target="_blank">湖州</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/1087/" title="湖州" class="c1" target="_blank">湖州</a> <a href="/tags/1185/" title="浙江" class="c1" target="_blank">浙江</a>

 <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1007/" title="浙江省" class="c1" target="_blank">浙江省</a> <a href="/tags/1087/" title="湖州" class="c1" target="_blank">湖州</a> <a href="/tags/1185/" title="浙江" class="c1" target="_blank">浙江</a>  <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1007/" title="浙江省" class="c1" target="_blank">浙江省</a> <a href="/tags/1087/" title="湖州" class="c1" target="_blank">湖州</a> <a href="/tags/1185/" title="浙江" class="c1" target="_blank">浙江</a> 的长 <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/1087/" title="湖州" class="c1" target="_blank">湖州</a> <a href="/tags/1185/" title="浙江" class="c1" target="_blank">浙江</a>

【点评】本题考查了三角形的外接圆和外心,圆周角定理,弧长公式等知识,灵活运用这些性质解决问题是本题的关键.

22.(10分)某企业承接了27000件产品的生产任务,计划安排甲、乙两个车间的共50名工人,合作生产20天完成.已知甲、乙两个车间利用现有设备,工人的工作效率为:甲车间每人每天生产25件,乙车间每人每天生产30件.

1)求甲、乙两个车间各有多少名工人参与生产?

2)为了提前完成生产任务,该企业设计了两种方案:

方案一 甲车间租用先进生产设备,工人的工作效率可提高 <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1007/" title="浙江省" class="c1" target="_blank">浙江省</a> <a href="/tags/1087/" title="湖州" class="c1" target="_blank">湖州</a> <a href="/tags/1185/" title="浙江" class="c1" target="_blank">浙江</a> ,乙车间维持不变.

方案二 乙车间再临时招聘若干名工人(工作效率与原工人相同),甲车间维持不变.

设计的这两种方案,企业完成生产任务的时间相同.

求乙车间需临时招聘的工人数;

若甲车间租用设备的租金每天900元,租用期间另需一次性支付运输等费用1500元;乙车间需支付临时招聘的工人每人每天200元.问:从新增加的费用考虑,应选择哪种方案能更节省开支?请说明理由.

【分析】1)设甲车间有 <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/1087/" title="湖州" class="c1" target="_blank">湖州</a> <a href="/tags/1185/" title="浙江" class="c1" target="_blank">浙江</a> 名工人参与生产,乙车间各有 <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/1087/" title="湖州" class="c1" target="_blank">湖州</a> <a href="/tags/1185/" title="浙江" class="c1" target="_blank">浙江</a> 名工人参与生产,由题意得关于 <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1007/" title="浙江省" class="c1" target="_blank">浙江省</a> <a href="/tags/1087/" title="湖州" class="c1" target="_blank">湖州</a> <a href="/tags/1185/" title="浙江" class="c1" target="_blank">浙江</a>  <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1007/" title="浙江省" class="c1" target="_blank">浙江省</a> <a href="/tags/1087/" title="湖州" class="c1" target="_blank">湖州</a> <a href="/tags/1185/" title="浙江" class="c1" target="_blank">浙江</a> 的方程组,求解即可.

2设方案二中乙车间需临时招聘 <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1007/" title="浙江省" class="c1" target="_blank">浙江省</a> <a href="/tags/1087/" title="湖州" class="c1" target="_blank">湖州</a> <a href="/tags/1185/" title="浙江" class="c1" target="_blank">浙江</a> 名工人,由题意,以企业完成生产任务的时间为等量关系,列出关于 <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/1087/" title="湖州" class="c1" target="_blank">湖州</a> <a href="/tags/1185/" title="浙江" class="c1" target="_blank">浙江</a> 的分式方程,求解并检验即可;用生产任务数量27000除以方案一中甲和乙完成的生产任务之和可得企业完成生产任务的时间,然后分别按方案一和方案二计算费用并比较大小即可.

【解答】解:(1)设甲车间有 <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/1087/" title="湖州" class="c1" target="_blank">湖州</a> <a href="/tags/1185/" title="浙江" class="c1" target="_blank">浙江</a> 名工人参与生产,乙车间各有 <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/1087/" title="湖州" class="c1" target="_blank">湖州</a> <a href="/tags/1185/" title="浙江" class="c1" target="_blank">浙江</a> 名工人参与生产,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/1087/" title="湖州" class="c1" target="_blank">湖州</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/1087/" title="湖州" class="c1" target="_blank">湖州</a> <a href="/tags/1185/" title="浙江" class="c1" target="_blank">浙江</a>

 <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1007/" title="浙江省" class="c1" target="_blank">浙江省</a> <a href="/tags/1087/" title="湖州" class="c1" target="_blank">湖州</a> <a href="/tags/1185/" title="浙江" class="c1" target="_blank">浙江</a> 甲车间有30名工人参与生产,乙车间各有20名工人参与生产.

2设方案二中乙车间需临时招聘 <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1007/" title="浙江省" class="c1" target="_blank">浙江省</a> <a href="/tags/1087/" title="湖州" class="c1" target="_blank">湖州</a> <a href="/tags/1185/" title="浙江" class="c1" target="_blank">浙江</a> 名工人,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/1087/" title="湖州" class="c1" target="_blank">湖州</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/1087/" title="湖州" class="c1" target="_blank">湖州</a> <a href="/tags/1185/" title="浙江" class="c1" target="_blank">浙江</a>

经检验, <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1007/" title="浙江省" class="c1" target="_blank">浙江省</a> <a href="/tags/1087/" title="湖州" class="c1" target="_blank">湖州</a> <a href="/tags/1185/" title="浙江" class="c1" target="_blank">浙江</a> 是原方程的解,且符合题意.

 <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/1087/" title="湖州" class="c1" target="_blank">湖州</a> <a href="/tags/1185/" title="浙江" class="c1" target="_blank">浙江</a> 乙车间需临时招聘5名工人.

企业完成生产任务所需的时间为:

 <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/1087/" title="湖州" class="c1" target="_blank">湖州</a> <a href="/tags/1185/" title="浙江" class="c1" target="_blank">浙江</a> (天 <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1007/" title="浙江省" class="c1" target="_blank">浙江省</a> <a href="/tags/1087/" title="湖州" class="c1" target="_blank">湖州</a> <a href="/tags/1185/" title="浙江" class="c1" target="_blank">浙江</a>

 <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1007/" title="浙江省" class="c1" target="_blank">浙江省</a> <a href="/tags/1087/" title="湖州" class="c1" target="_blank">湖州</a> <a href="/tags/1185/" title="浙江" class="c1" target="_blank">浙江</a> 选择方案一需增加的费用为 <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/1087/" title="湖州" class="c1" target="_blank">湖州</a> <a href="/tags/1185/" title="浙江" class="c1" target="_blank">浙江</a> (元 <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1007/" title="浙江省" class="c1" target="_blank">浙江省</a> <a href="/tags/1087/" title="湖州" class="c1" target="_blank">湖州</a> <a href="/tags/1185/" title="浙江" class="c1" target="_blank">浙江</a>

选择方案二需增加的费用为 <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/1087/" title="湖州" class="c1" target="_blank">湖州</a> <a href="/tags/1185/" title="浙江" class="c1" target="_blank">浙江</a> (元 <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1007/" title="浙江省" class="c1" target="_blank">浙江省</a> <a href="/tags/1087/" title="湖州" class="c1" target="_blank">湖州</a> <a href="/tags/1185/" title="浙江" class="c1" target="_blank">浙江</a>

 <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1007/" title="浙江省" class="c1" target="_blank">浙江省</a> <a href="/tags/1087/" title="湖州" class="c1" target="_blank">湖州</a> <a href="/tags/1185/" title="浙江" class="c1" target="_blank">浙江</a>

 <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1007/" title="浙江省" class="c1" target="_blank">浙江省</a> <a href="/tags/1087/" title="湖州" class="c1" target="_blank">湖州</a> <a href="/tags/1185/" title="浙江" class="c1" target="_blank">浙江</a> 选择方案一能更节省开支.

【点评】本题考查了二元一次方程组和分式方程在实际问题中的应用,理清题中的数量关系是解题的关键.

23.(10分)已知在 <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/1087/" title="湖州" class="c1" target="_blank">湖州</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/1087/" title="湖州" class="c1" target="_blank">湖州</a> <a href="/tags/1185/" title="浙江" class="c1" target="_blank">浙江</a>  <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1007/" title="浙江省" class="c1" target="_blank">浙江省</a> <a href="/tags/1087/" title="湖州" class="c1" target="_blank">湖州</a> <a href="/tags/1185/" title="浙江" class="c1" target="_blank">浙江</a>  <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1007/" title="浙江省" class="c1" target="_blank">浙江省</a> <a href="/tags/1087/" title="湖州" class="c1" target="_blank">湖州</a> <a href="/tags/1185/" title="浙江" class="c1" target="_blank">浙江</a> 边上的一点,将 <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1007/" title="浙江省" class="c1" target="_blank">浙江省</a> <a href="/tags/1087/" title="湖州" class="c1" target="_blank">湖州</a> <a href="/tags/1185/" title="浙江" class="c1" target="_blank">浙江</a> 沿着过点 <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/1087/" title="湖州" class="c1" target="_blank">湖州</a> <a href="/tags/1185/" title="浙江" class="c1" target="_blank">浙江</a> 的直线折叠,使点 <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/1087/" title="湖州" class="c1" target="_blank">湖州</a> <a href="/tags/1185/" title="浙江" class="c1" target="_blank">浙江</a> 落在 <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1007/" title="浙江省" class="c1" target="_blank">浙江省</a> <a href="/tags/1087/" title="湖州" class="c1" target="_blank">湖州</a> <a href="/tags/1185/" title="浙江" class="c1" target="_blank">浙江</a> 边的点 <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1007/" title="浙江省" class="c1" target="_blank">浙江省</a> <a href="/tags/1087/" title="湖州" class="c1" target="_blank">湖州</a> <a href="/tags/1185/" title="浙江" class="c1" target="_blank">浙江</a> 处(不与点 <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/1087/" title="湖州" class="c1" target="_blank">湖州</a> <a href="/tags/1185/" title="浙江" class="c1" target="_blank">浙江</a>  <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1007/" title="浙江省" class="c1" target="_blank">浙江省</a> <a href="/tags/1087/" title="湖州" class="c1" target="_blank">湖州</a> <a href="/tags/1185/" title="浙江" class="c1" target="_blank">浙江</a> 重合),折痕交 <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/1087/" title="湖州" class="c1" target="_blank">湖州</a> <a href="/tags/1185/" title="浙江" class="c1" target="_blank">浙江</a> 边于点 <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/1087/" title="湖州" class="c1" target="_blank">湖州</a> <a href="/tags/1185/" title="浙江" class="c1" target="_blank">浙江</a>

1)特例感知 如图1,若 <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1007/" title="浙江省" class="c1" target="_blank">浙江省</a> <a href="/tags/1087/" title="湖州" class="c1" target="_blank">湖州</a> <a href="/tags/1185/" title="浙江" class="c1" target="_blank">浙江</a>  <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1007/" title="浙江省" class="c1" target="_blank">浙江省</a> <a href="/tags/1087/" title="湖州" class="c1" target="_blank">湖州</a> <a href="/tags/1185/" title="浙江" class="c1" target="_blank">浙江</a>  <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1007/" title="浙江省" class="c1" target="_blank">浙江省</a> <a href="/tags/1087/" title="湖州" class="c1" target="_blank">湖州</a> <a href="/tags/1185/" title="浙江" class="c1" target="_blank">浙江</a> 的中点,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/1087/" title="湖州" class="c1" target="_blank">湖州</a> <a href="/tags/1185/" title="浙江" class="c1" target="_blank">浙江</a>

2)变式求异 如图2,若 <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1007/" title="浙江省" class="c1" target="_blank">浙江省</a> <a href="/tags/1087/" title="湖州" class="c1" target="_blank">湖州</a> <a href="/tags/1185/" title="浙江" class="c1" target="_blank">浙江</a>  <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1007/" title="浙江省" class="c1" target="_blank">浙江省</a> <a href="/tags/1087/" title="湖州" class="c1" target="_blank">湖州</a> <a href="/tags/1185/" title="浙江" class="c1" target="_blank">浙江</a>  <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1007/" title="浙江省" class="c1" target="_blank">浙江省</a> <a href="/tags/1087/" title="湖州" class="c1" target="_blank">湖州</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/1087/" title="湖州" class="c1" target="_blank">湖州</a> <a href="/tags/1185/" title="浙江" class="c1" target="_blank">浙江</a>  <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1007/" title="浙江省" class="c1" target="_blank">浙江省</a> <a href="/tags/1087/" title="湖州" class="c1" target="_blank">湖州</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/1087/" title="湖州" class="c1" target="_blank">湖州</a> <a href="/tags/1185/" title="浙江" class="c1" target="_blank">浙江</a> ,求 <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1007/" title="浙江省" class="c1" target="_blank">浙江省</a> <a href="/tags/1087/" title="湖州" class="c1" target="_blank">湖州</a> <a href="/tags/1185/" title="浙江" class="c1" target="_blank">浙江</a>  <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1007/" title="浙江省" class="c1" target="_blank">浙江省</a> <a href="/tags/1087/" title="湖州" class="c1" target="_blank">湖州</a> <a href="/tags/1185/" title="浙江" class="c1" target="_blank">浙江</a> 的长;

3)化归探究 如图3,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/1087/" title="湖州" class="c1" target="_blank">湖州</a> <a href="/tags/1185/" title="浙江" class="c1" target="_blank">浙江</a>  <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1007/" title="浙江省" class="c1" target="_blank">浙江省</a> <a href="/tags/1087/" title="湖州" class="c1" target="_blank">湖州</a> <a href="/tags/1185/" title="浙江" class="c1" target="_blank">浙江</a> ,且当 <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/1087/" title="湖州" class="c1" target="_blank">湖州</a> <a href="/tags/1185/" title="浙江" class="c1" target="_blank">浙江</a> 时,存在两次不同的折叠,使点 <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/1087/" title="湖州" class="c1" target="_blank">湖州</a> <a href="/tags/1185/" title="浙江" class="c1" target="_blank">浙江</a> 落在 <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1007/" title="浙江省" class="c1" target="_blank">浙江省</a> <a href="/tags/1087/" title="湖州" class="c1" target="_blank">湖州</a> <a href="/tags/1185/" title="浙江" class="c1" target="_blank">浙江</a> 边上两个不同的位置,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/1087/" title="湖州" class="c1" target="_blank">湖州</a> <a href="/tags/1185/" title="浙江" class="c1" target="_blank">浙江</a> 的取值范围.

Shape41

【分析】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/1087/" title="湖州" class="c1" target="_blank">湖州</a> <a href="/tags/1185/" title="浙江" class="c1" target="_blank">浙江</a> 是等边三角形即可解决问题.

2)分两种情形:情形一: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/1087/" title="湖州" class="c1" target="_blank">湖州</a> <a href="/tags/1185/" title="浙江" class="c1" target="_blank">浙江</a> 落在线段 <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/1087/" title="湖州" class="c1" target="_blank">湖州</a> <a href="/tags/1185/" title="浙江" class="c1" target="_blank">浙江</a> 上的点 <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1007/" title="浙江省" class="c1" target="_blank">浙江省</a> <a href="/tags/1087/" title="湖州" class="c1" target="_blank">湖州</a> <a href="/tags/1185/" title="浙江" class="c1" target="_blank">浙江</a> 处时,如图 <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1007/" title="浙江省" class="c1" target="_blank">浙江省</a> <a href="/tags/1087/" title="湖州" class="c1" target="_blank">湖州</a> <a href="/tags/1185/" title="浙江" class="c1" target="_blank">浙江</a> 中.情形二: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/1087/" title="湖州" class="c1" target="_blank">湖州</a> <a href="/tags/1185/" title="浙江" class="c1" target="_blank">浙江</a> 落在线段 <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/1087/" title="湖州" class="c1" target="_blank">湖州</a> <a href="/tags/1185/" title="浙江" class="c1" target="_blank">浙江</a> 上的点 <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1007/" title="浙江省" class="c1" target="_blank">浙江省</a> <a href="/tags/1087/" title="湖州" class="c1" target="_blank">湖州</a> <a href="/tags/1185/" title="浙江" class="c1" target="_blank">浙江</a> 处时,如图 <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1007/" title="浙江省" class="c1" target="_blank">浙江省</a> <a href="/tags/1087/" title="湖州" class="c1" target="_blank">湖州</a> <a href="/tags/1185/" title="浙江" class="c1" target="_blank">浙江</a> 中,分别求解即可.

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/1087/" title="湖州" class="c1" target="_blank">湖州</a> <a href="/tags/1185/" title="浙江" class="c1" target="_blank">浙江</a>  <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1007/" title="浙江省" class="c1" target="_blank">浙江省</a> <a href="/tags/1087/" title="湖州" class="c1" target="_blank">湖州</a> <a href="/tags/1185/" title="浙江" class="c1" target="_blank">浙江</a>  <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1007/" title="浙江省" class="c1" target="_blank">浙江省</a> <a href="/tags/1087/" title="湖州" class="c1" target="_blank">湖州</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/1087/" title="湖州" class="c1" target="_blank">湖州</a> <a href="/tags/1185/" title="浙江" class="c1" target="_blank">浙江</a>  <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1007/" title="浙江省" class="c1" target="_blank">浙江省</a> <a href="/tags/1087/" title="湖州" class="c1" target="_blank">湖州</a> <a href="/tags/1185/" title="浙江" class="c1" target="_blank">浙江</a>  <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1007/" title="浙江省" class="c1" target="_blank">浙江省</a> <a href="/tags/1087/" title="湖州" class="c1" target="_blank">湖州</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/1087/" title="湖州" class="c1" target="_blank">湖州</a> <a href="/tags/1185/" title="浙江" class="c1" target="_blank">浙江</a>  <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1007/" title="浙江省" class="c1" target="_blank">浙江省</a> <a href="/tags/1087/" title="湖州" class="c1" target="_blank">湖州</a> <a href="/tags/1185/" title="浙江" class="c1" target="_blank">浙江</a> 的值,结合图形即可判断.

【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/1087/" title="湖州" class="c1" target="_blank">湖州</a> <a href="/tags/1185/" title="浙江" class="c1" target="_blank">浙江</a>  <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1007/" title="浙江省" class="c1" target="_blank">浙江省</a> <a href="/tags/1087/" title="湖州" class="c1" target="_blank">湖州</a> <a href="/tags/1185/" title="浙江" class="c1" target="_blank">浙江</a>

 <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1007/" title="浙江省" class="c1" target="_blank">浙江省</a> <a href="/tags/1087/" title="湖州" class="c1" target="_blank">湖州</a> <a href="/tags/1185/" title="浙江" class="c1" target="_blank">浙江</a> 是等边三角形,

 <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1007/" title="浙江省" class="c1" target="_blank">浙江省</a> <a href="/tags/1087/" title="湖州" class="c1" target="_blank">湖州</a> <a href="/tags/1185/" title="浙江" class="c1" target="_blank">浙江</a>  <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1007/" title="浙江省" class="c1" target="_blank">浙江省</a> <a href="/tags/1087/" title="湖州" class="c1" target="_blank">湖州</a> <a href="/tags/1185/" title="浙江" class="c1" target="_blank">浙江</a>

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/1087/" title="湖州" class="c1" target="_blank">湖州</a> <a href="/tags/1185/" title="浙江" class="c1" target="_blank">浙江</a>  <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1007/" title="浙江省" class="c1" target="_blank">浙江省</a> <a href="/tags/1087/" title="湖州" class="c1" target="_blank">湖州</a> <a href="/tags/1185/" title="浙江" class="c1" target="_blank">浙江</a>

 <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1007/" title="浙江省" class="c1" target="_blank">浙江省</a> <a href="/tags/1087/" title="湖州" class="c1" target="_blank">湖州</a> <a href="/tags/1185/" title="浙江" class="c1" target="_blank">浙江</a>

 <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1007/" title="浙江省" class="c1" target="_blank">浙江省</a> <a href="/tags/1087/" title="湖州" class="c1" target="_blank">湖州</a> <a href="/tags/1185/" title="浙江" class="c1" target="_blank">浙江</a> 使得等边三角形,

 <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1007/" title="浙江省" class="c1" target="_blank">浙江省</a> <a href="/tags/1087/" title="湖州" class="c1" target="_blank">湖州</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/1087/" title="湖州" class="c1" target="_blank">湖州</a> <a href="/tags/1185/" title="浙江" class="c1" target="_blank">浙江</a>  <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1007/" title="浙江省" class="c1" target="_blank">浙江省</a> <a href="/tags/1087/" title="湖州" class="c1" target="_blank">湖州</a> <a href="/tags/1185/" title="浙江" class="c1" target="_blank">浙江</a>

 <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1007/" title="浙江省" class="c1" target="_blank">浙江省</a> <a href="/tags/1087/" title="湖州" class="c1" target="_blank">湖州</a> <a href="/tags/1185/" title="浙江" class="c1" target="_blank">浙江</a>

 <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1007/" title="浙江省" class="c1" target="_blank">浙江省</a> <a href="/tags/1087/" title="湖州" class="c1" target="_blank">湖州</a> <a href="/tags/1185/" title="浙江" class="c1" target="_blank">浙江</a>

 <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1007/" title="浙江省" class="c1" target="_blank">浙江省</a> <a href="/tags/1087/" title="湖州" class="c1" target="_blank">湖州</a> <a href="/tags/1185/" title="浙江" class="c1" target="_blank">浙江</a>

 <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1007/" title="浙江省" class="c1" target="_blank">浙江省</a> <a href="/tags/1087/" title="湖州" class="c1" target="_blank">湖州</a> <a href="/tags/1185/" title="浙江" class="c1" target="_blank">浙江</a>

 <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1007/" title="浙江省" class="c1" target="_blank">浙江省</a> <a href="/tags/1087/" title="湖州" class="c1" target="_blank">湖州</a> <a href="/tags/1185/" title="浙江" class="c1" target="_blank">浙江</a>  <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1007/" title="浙江省" class="c1" target="_blank">浙江省</a> <a href="/tags/1087/" title="湖州" class="c1" target="_blank">湖州</a> <a href="/tags/1185/" title="浙江" class="c1" target="_blank">浙江</a>

 <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1007/" title="浙江省" class="c1" target="_blank">浙江省</a> <a href="/tags/1087/" title="湖州" class="c1" target="_blank">湖州</a> <a href="/tags/1185/" title="浙江" class="c1" target="_blank">浙江</a>

 <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1007/" title="浙江省" class="c1" target="_blank">浙江省</a> <a href="/tags/1087/" title="湖州" class="c1" target="_blank">湖州</a> <a href="/tags/1185/" title="浙江" class="c1" target="_blank">浙江</a>  <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1007/" title="浙江省" class="c1" target="_blank">浙江省</a> <a href="/tags/1087/" title="湖州" class="c1" target="_blank">湖州</a> <a href="/tags/1185/" title="浙江" class="c1" target="_blank">浙江</a>

 <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1007/" title="浙江省" class="c1" target="_blank">浙江省</a> <a href="/tags/1087/" title="湖州" class="c1" target="_blank">湖州</a> <a href="/tags/1185/" title="浙江" class="c1" target="_blank">浙江</a>

 <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1007/" title="浙江省" class="c1" target="_blank">浙江省</a> <a href="/tags/1087/" title="湖州" class="c1" target="_blank">湖州</a> <a href="/tags/1185/" title="浙江" class="c1" target="_blank">浙江</a> 沿过点 <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/1087/" title="湖州" class="c1" target="_blank">湖州</a> <a href="/tags/1185/" title="浙江" class="c1" target="_blank">浙江</a> 的直线折叠,

情形一: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/1087/" title="湖州" class="c1" target="_blank">湖州</a> <a href="/tags/1185/" title="浙江" class="c1" target="_blank">浙江</a> 落在线段 <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/1087/" title="湖州" class="c1" target="_blank">湖州</a> <a href="/tags/1185/" title="浙江" class="c1" target="_blank">浙江</a> 上的点 <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1007/" title="浙江省" class="c1" target="_blank">浙江省</a> <a href="/tags/1087/" title="湖州" class="c1" target="_blank">湖州</a> <a href="/tags/1185/" title="浙江" class="c1" target="_blank">浙江</a> 处时,如图 <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1007/" title="浙江省" class="c1" target="_blank">浙江省</a> <a href="/tags/1087/" title="湖州" class="c1" target="_blank">湖州</a> <a href="/tags/1185/" title="浙江" class="c1" target="_blank">浙江</a> 中,

Shape42

 <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1007/" title="浙江省" class="c1" target="_blank">浙江省</a> <a href="/tags/1087/" title="湖州" class="c1" target="_blank">湖州</a> <a href="/tags/1185/" title="浙江" class="c1" target="_blank">浙江</a>

 <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1007/" title="浙江省" class="c1" target="_blank">浙江省</a> <a href="/tags/1087/" title="湖州" class="c1" target="_blank">湖州</a> <a href="/tags/1185/" title="浙江" class="c1" target="_blank">浙江</a>

 <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1007/" title="浙江省" class="c1" target="_blank">浙江省</a> <a href="/tags/1087/" title="湖州" class="c1" target="_blank">湖州</a> <a href="/tags/1185/" title="浙江" class="c1" target="_blank">浙江</a>

 <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1007/" title="浙江省" class="c1" target="_blank">浙江省</a> <a href="/tags/1087/" title="湖州" class="c1" target="_blank">湖州</a> <a href="/tags/1185/" title="浙江" class="c1" target="_blank">浙江</a>

情形二: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/1087/" title="湖州" class="c1" target="_blank">湖州</a> <a href="/tags/1185/" title="浙江" class="c1" target="_blank">浙江</a> 落在线段 <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/1087/" title="湖州" class="c1" target="_blank">湖州</a> <a href="/tags/1185/" title="浙江" class="c1" target="_blank">浙江</a> 上的点 <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1007/" title="浙江省" class="c1" target="_blank">浙江省</a> <a href="/tags/1087/" title="湖州" class="c1" target="_blank">湖州</a> <a href="/tags/1185/" title="浙江" class="c1" target="_blank">浙江</a> 处时,如图 <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1007/" title="浙江省" class="c1" target="_blank">浙江省</a> <a href="/tags/1087/" title="湖州" class="c1" target="_blank">湖州</a> <a href="/tags/1185/" title="浙江" class="c1" target="_blank">浙江</a> 中,

Shape43

同法可证 <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1007/" title="浙江省" class="c1" target="_blank">浙江省</a> <a href="/tags/1087/" title="湖州" class="c1" target="_blank">湖州</a> <a href="/tags/1185/" title="浙江" class="c1" target="_blank">浙江</a>

 <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1007/" title="浙江省" class="c1" target="_blank">浙江省</a> <a href="/tags/1087/" title="湖州" class="c1" target="_blank">湖州</a> <a href="/tags/1185/" title="浙江" class="c1" target="_blank">浙江</a>

综上所述,满足条件的 <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/1087/" title="湖州" class="c1" target="_blank">湖州</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/1087/" title="湖州" class="c1" target="_blank">湖州</a> <a href="/tags/1185/" title="浙江" class="c1" target="_blank">浙江</a>  <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1007/" title="浙江省" class="c1" target="_blank">浙江省</a> <a href="/tags/1087/" title="湖州" class="c1" target="_blank">湖州</a> <a href="/tags/1185/" title="浙江" class="c1" target="_blank">浙江</a>


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/1087/" title="湖州" class="c1" target="_blank">湖州</a> <a href="/tags/1185/" title="浙江" class="c1" target="_blank">浙江</a>  <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1007/" title="浙江省" class="c1" target="_blank">浙江省</a> <a href="/tags/1087/" title="湖州" class="c1" target="_blank">湖州</a> <a href="/tags/1185/" title="浙江" class="c1" target="_blank">浙江</a>  <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1007/" title="浙江省" class="c1" target="_blank">浙江省</a> <a href="/tags/1087/" title="湖州" class="c1" target="_blank">湖州</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/1087/" title="湖州" class="c1" target="_blank">湖州</a> <a href="/tags/1185/" title="浙江" class="c1" target="_blank">浙江</a>  <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1007/" title="浙江省" class="c1" target="_blank">浙江省</a> <a href="/tags/1087/" title="湖州" class="c1" target="_blank">湖州</a> <a href="/tags/1185/" title="浙江" class="c1" target="_blank">浙江</a>  <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1007/" title="浙江省" class="c1" target="_blank">浙江省</a> <a href="/tags/1087/" title="湖州" class="c1" target="_blank">湖州</a> <a href="/tags/1185/" title="浙江" class="c1" target="_blank">浙江</a>

Shape44

 <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1007/" title="浙江省" class="c1" target="_blank">浙江省</a> <a href="/tags/1087/" title="湖州" class="c1" target="_blank">湖州</a> <a href="/tags/1185/" title="浙江" class="c1" target="_blank">浙江</a>  <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1007/" title="浙江省" class="c1" target="_blank">浙江省</a> <a href="/tags/1087/" title="湖州" class="c1" target="_blank">湖州</a> <a href="/tags/1185/" title="浙江" class="c1" target="_blank">浙江</a>

 <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1007/" title="浙江省" class="c1" target="_blank">浙江省</a> <a href="/tags/1087/" title="湖州" class="c1" target="_blank">湖州</a> <a href="/tags/1185/" title="浙江" class="c1" target="_blank">浙江</a>

 <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1007/" title="浙江省" class="c1" target="_blank">浙江省</a> <a href="/tags/1087/" title="湖州" class="c1" target="_blank">湖州</a> <a href="/tags/1185/" title="浙江" class="c1" target="_blank">浙江</a>

 <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1007/" title="浙江省" class="c1" target="_blank">浙江省</a> <a href="/tags/1087/" title="湖州" class="c1" target="_blank">湖州</a> <a href="/tags/1185/" title="浙江" class="c1" target="_blank">浙江</a> 时,设 <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1007/" title="浙江省" class="c1" target="_blank">浙江省</a> <a href="/tags/1087/" title="湖州" class="c1" target="_blank">湖州</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/1087/" title="湖州" class="c1" target="_blank">湖州</a> <a href="/tags/1185/" title="浙江" class="c1" target="_blank">浙江</a>

 <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1007/" title="浙江省" class="c1" target="_blank">浙江省</a> <a href="/tags/1087/" title="湖州" class="c1" target="_blank">湖州</a> <a href="/tags/1185/" title="浙江" class="c1" target="_blank">浙江</a>

 <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1007/" title="浙江省" class="c1" target="_blank">浙江省</a> <a href="/tags/1087/" title="湖州" class="c1" target="_blank">湖州</a> <a href="/tags/1185/" title="浙江" class="c1" target="_blank">浙江</a>  <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1007/" title="浙江省" class="c1" target="_blank">浙江省</a> <a href="/tags/1087/" title="湖州" class="c1" target="_blank">湖州</a> <a href="/tags/1185/" title="浙江" class="c1" target="_blank">浙江</a>

 <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1007/" title="浙江省" class="c1" target="_blank">浙江省</a> <a href="/tags/1087/" title="湖州" class="c1" target="_blank">湖州</a> <a href="/tags/1185/" title="浙江" class="c1" target="_blank">浙江</a>

 <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1007/" title="浙江省" class="c1" target="_blank">浙江省</a> <a href="/tags/1087/" title="湖州" class="c1" target="_blank">湖州</a> <a href="/tags/1185/" title="浙江" class="c1" target="_blank">浙江</a>

观察图形可知当 <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/1087/" title="湖州" class="c1" target="_blank">湖州</a> <a href="/tags/1185/" title="浙江" class="c1" target="_blank">浙江</a> 时,存在两次不同的折叠,使点 <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/1087/" title="湖州" class="c1" target="_blank">湖州</a> <a href="/tags/1185/" title="浙江" class="c1" target="_blank">浙江</a> 落在 <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1007/" title="浙江省" class="c1" target="_blank">浙江省</a> <a href="/tags/1087/" title="湖州" class="c1" target="_blank">湖州</a> <a href="/tags/1185/" title="浙江" class="c1" target="_blank">浙江</a> 边上两个不同的位置.

【点评】本题考查几何变换综合题,考查了等边三角形的判定和性质,解直角三角形,相似三角形的判定和性质等知识,解题的关键是学会用分类讨论的思想思考问题,学会利用参数构建方程解决问题,属于中考压轴题.

24.(12分)如图,已知在平面直角坐标系 <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1007/" title="浙江省" class="c1" target="_blank">浙江省</a> <a href="/tags/1087/" title="湖州" class="c1" target="_blank">湖州</a> <a href="/tags/1185/" title="浙江" class="c1" target="_blank">浙江</a> 中,抛物线 <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/1087/" title="湖州" class="c1" target="_blank">湖州</a> <a href="/tags/1185/" title="浙江" class="c1" target="_blank">浙江</a> 的顶点为 <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/1087/" title="湖州" class="c1" target="_blank">湖州</a> <a href="/tags/1185/" title="浙江" class="c1" target="_blank">浙江</a> ,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/1087/" title="湖州" class="c1" target="_blank">湖州</a> <a href="/tags/1185/" title="浙江" class="c1" target="_blank">浙江</a> 轴的交点为 <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/1087/" title="湖州" class="c1" target="_blank">湖州</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/1087/" title="湖州" class="c1" target="_blank">湖州</a> <a href="/tags/1185/" title="浙江" class="c1" target="_blank">浙江</a> 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/1087/" title="湖州" class="c1" target="_blank">湖州</a> <a href="/tags/1185/" title="浙江" class="c1" target="_blank">浙江</a> 与抛物线交于另一点 <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/1087/" title="湖州" class="c1" target="_blank">湖州</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/1087/" title="湖州" class="c1" target="_blank">湖州</a> <a href="/tags/1185/" title="浙江" class="c1" target="_blank">浙江</a> 在对称轴左侧),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/1087/" title="湖州" class="c1" target="_blank">湖州</a> <a href="/tags/1185/" title="浙江" class="c1" target="_blank">浙江</a>  <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1007/" title="浙江省" class="c1" target="_blank">浙江省</a> <a href="/tags/1087/" title="湖州" class="c1" target="_blank">湖州</a> <a href="/tags/1185/" title="浙江" class="c1" target="_blank">浙江</a> 的延长线上,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/1087/" title="湖州" class="c1" target="_blank">湖州</a> <a href="/tags/1185/" title="浙江" class="c1" target="_blank">浙江</a>  <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1007/" title="浙江省" class="c1" target="_blank">浙江省</a> <a href="/tags/1087/" title="湖州" class="c1" target="_blank">湖州</a> <a href="/tags/1185/" title="浙江" class="c1" target="_blank">浙江</a>  <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1007/" title="浙江省" class="c1" target="_blank">浙江省</a> <a href="/tags/1087/" title="湖州" class="c1" target="_blank">湖州</a> <a href="/tags/1185/" title="浙江" class="c1" target="_blank">浙江</a>  <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1007/" title="浙江省" class="c1" target="_blank">浙江省</a> <a href="/tags/1087/" title="湖州" class="c1" target="_blank">湖州</a> <a href="/tags/1185/" title="浙江" class="c1" target="_blank">浙江</a>

1)如图1,当 <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1007/" title="浙江省" class="c1" target="_blank">浙江省</a> <a href="/tags/1087/" title="湖州" class="c1" target="_blank">湖州</a> <a href="/tags/1185/" title="浙江" class="c1" target="_blank">浙江</a> 轴时,

已知点 <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1007/" title="浙江省" class="c1" target="_blank">浙江省</a> <a href="/tags/1087/" title="湖州" class="c1" target="_blank">湖州</a> <a href="/tags/1185/" title="浙江" class="c1" target="_blank">浙江</a> 的坐标是 <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/1087/" title="湖州" class="c1" target="_blank">湖州</a> <a href="/tags/1185/" title="浙江" class="c1" target="_blank">浙江</a> ,求抛物线的解析式;

若四边形 <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/1087/" title="湖州" class="c1" target="_blank">湖州</a> <a href="/tags/1185/" title="浙江" class="c1" target="_blank">浙江</a> 是平行四边形,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/1087/" title="湖州" class="c1" target="_blank">湖州</a> <a href="/tags/1185/" title="浙江" class="c1" target="_blank">浙江</a>

2)如图2,若 <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1007/" title="浙江省" class="c1" target="_blank">浙江省</a> <a href="/tags/1087/" title="湖州" class="c1" target="_blank">湖州</a> <a href="/tags/1185/" title="浙江" class="c1" target="_blank">浙江</a>  <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1007/" title="浙江省" class="c1" target="_blank">浙江省</a> <a href="/tags/1087/" title="湖州" class="c1" target="_blank">湖州</a> <a href="/tags/1185/" title="浙江" class="c1" target="_blank">浙江</a> ,是否存在这样的点 <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1007/" title="浙江省" class="c1" target="_blank">浙江省</a> <a href="/tags/1087/" title="湖州" class="c1" target="_blank">湖州</a> <a href="/tags/1185/" title="浙江" class="c1" target="_blank">浙江</a> ,使四边形 <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/1087/" title="湖州" class="c1" target="_blank">湖州</a> <a href="/tags/1185/" title="浙江" class="c1" target="_blank">浙江</a> 是平行四边形?若存在,求出点 <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/1087/" title="湖州" class="c1" target="_blank">湖州</a> <a href="/tags/1185/" title="浙江" class="c1" target="_blank">浙江</a> 的坐标;若不存在,请说明理由.

Shape45

【分析】1先确定出点 <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/1087/" title="湖州" class="c1" target="_blank">湖州</a> <a href="/tags/1185/" title="浙江" class="c1" target="_blank">浙江</a> 的坐标,再用待定系数法即可得出结论;

先确定出抛物线的顶点坐标,进而得出 <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/1087/" title="湖州" class="c1" target="_blank">湖州</a> <a href="/tags/1185/" title="浙江" class="c1" target="_blank">浙江</a> ,再判断出 <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/1087/" title="湖州" class="c1" target="_blank">湖州</a> <a href="/tags/1185/" title="浙江" class="c1" target="_blank">浙江</a> ,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/1087/" title="湖州" class="c1" target="_blank">湖州</a> <a href="/tags/1185/" title="浙江" class="c1" target="_blank">浙江</a> ,即可得出结论;

2)先判断出抛物线的顶点坐标 <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1007/" title="浙江省" class="c1" target="_blank">浙江省</a> <a href="/tags/1087/" title="湖州" class="c1" target="_blank">湖州</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/1087/" title="湖州" class="c1" target="_blank">湖州</a> <a href="/tags/1185/" title="浙江" class="c1" target="_blank">浙江</a>  <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1007/" title="浙江省" class="c1" target="_blank">浙江省</a> <a href="/tags/1087/" title="湖州" class="c1" target="_blank">湖州</a> <a href="/tags/1185/" title="浙江" class="c1" target="_blank">浙江</a>

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/1087/" title="湖州" class="c1" target="_blank">湖州</a> <a href="/tags/1185/" title="浙江" class="c1" target="_blank">浙江</a> ,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/1087/" title="湖州" class="c1" target="_blank">湖州</a> <a href="/tags/1185/" title="浙江" class="c1" target="_blank">浙江</a>  <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1007/" title="浙江省" class="c1" target="_blank">浙江省</a> <a href="/tags/1087/" title="湖州" class="c1" target="_blank">湖州</a> <a href="/tags/1185/" title="浙江" class="c1" target="_blank">浙江</a> ,再判断出 <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/1087/" title="湖州" class="c1" target="_blank">湖州</a> <a href="/tags/1185/" title="浙江" class="c1" target="_blank">浙江</a> ,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/1087/" title="湖州" class="c1" target="_blank">湖州</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/1087/" title="湖州" class="c1" target="_blank">湖州</a> <a href="/tags/1185/" title="浙江" class="c1" target="_blank">浙江</a> 的值,得出点 <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/1087/" title="湖州" class="c1" target="_blank">湖州</a> <a href="/tags/1185/" title="浙江" class="c1" target="_blank">浙江</a> 的纵坐标为 <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/1087/" title="湖州" class="c1" target="_blank">湖州</a> <a href="/tags/1185/" title="浙江" class="c1" target="_blank">浙江</a> ,进而判断出点 <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/1087/" title="湖州" class="c1" target="_blank">湖州</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/1087/" title="湖州" class="c1" target="_blank">湖州</a> <a href="/tags/1185/" title="浙江" class="c1" target="_blank">浙江</a>  <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1007/" title="浙江省" class="c1" target="_blank">浙江省</a> <a href="/tags/1087/" title="湖州" class="c1" target="_blank">湖州</a> <a href="/tags/1185/" title="浙江" class="c1" target="_blank">浙江</a> ,进而得出 <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/1087/" title="湖州" class="c1" target="_blank">湖州</a> <a href="/tags/1185/" title="浙江" class="c1" target="_blank">浙江</a>

 <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1007/" title="浙江省" class="c1" target="_blank">浙江省</a> <a href="/tags/1087/" title="湖州" class="c1" target="_blank">湖州</a> <a href="/tags/1185/" title="浙江" class="c1" target="_blank">浙江</a>  <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1007/" title="浙江省" class="c1" target="_blank">浙江省</a> <a href="/tags/1087/" title="湖州" class="c1" target="_blank">湖州</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/1087/" title="湖州" class="c1" target="_blank">湖州</a> <a href="/tags/1185/" title="浙江" class="c1" target="_blank">浙江</a> ,即可得出结论.

【解答】解:(1 <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1007/" title="浙江省" class="c1" target="_blank">浙江省</a> <a href="/tags/1087/" title="湖州" class="c1" target="_blank">湖州</a> <a href="/tags/1185/" title="浙江" class="c1" target="_blank">浙江</a> 轴,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/1087/" title="湖州" class="c1" target="_blank">湖州</a> <a href="/tags/1185/" title="浙江" class="c1" target="_blank">浙江</a>

 <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1007/" title="浙江省" class="c1" target="_blank">浙江省</a> <a href="/tags/1087/" title="湖州" class="c1" target="_blank">湖州</a> <a href="/tags/1185/" title="浙江" class="c1" target="_blank">浙江</a>

将点 <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/1087/" title="湖州" class="c1" target="_blank">湖州</a> <a href="/tags/1185/" title="浙江" class="c1" target="_blank">浙江</a>  <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1007/" title="浙江省" class="c1" target="_blank">浙江省</a> <a href="/tags/1087/" title="湖州" class="c1" target="_blank">湖州</a> <a href="/tags/1185/" title="浙江" class="c1" target="_blank">浙江</a> 代入抛物线解析式中,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/1087/" title="湖州" class="c1" target="_blank">湖州</a> <a href="/tags/1185/" title="浙江" class="c1" target="_blank">浙江</a>

 <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1007/" title="浙江省" class="c1" target="_blank">浙江省</a> <a href="/tags/1087/" title="湖州" class="c1" target="_blank">湖州</a> <a href="/tags/1185/" title="浙江" class="c1" target="_blank">浙江</a>  <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1007/" title="浙江省" class="c1" target="_blank">浙江省</a> <a href="/tags/1087/" title="湖州" class="c1" target="_blank">湖州</a> <a href="/tags/1185/" title="浙江" class="c1" target="_blank">浙江</a>

 <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1007/" title="浙江省" class="c1" target="_blank">浙江省</a> <a href="/tags/1087/" title="湖州" class="c1" target="_blank">湖州</a> <a href="/tags/1185/" title="浙江" class="c1" target="_blank">浙江</a> 抛物线的解析式为 <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/1087/" title="湖州" class="c1" target="_blank">湖州</a> <a href="/tags/1185/" title="浙江" class="c1" target="_blank">浙江</a>


如图1,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/1087/" title="湖州" class="c1" target="_blank">湖州</a> <a href="/tags/1185/" title="浙江" class="c1" target="_blank">浙江</a>  <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1007/" title="浙江省" class="c1" target="_blank">浙江省</a> <a href="/tags/1087/" title="湖州" class="c1" target="_blank">湖州</a> <a href="/tags/1185/" title="浙江" class="c1" target="_blank">浙江</a> 轴于 <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/1087/" title="湖州" class="c1" target="_blank">湖州</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/1087/" title="湖州" class="c1" target="_blank">湖州</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/1087/" title="湖州" class="c1" target="_blank">湖州</a> <a href="/tags/1185/" title="浙江" class="c1" target="_blank">浙江</a>

 <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1007/" title="浙江省" class="c1" target="_blank">浙江省</a> <a href="/tags/1087/" title="湖州" class="c1" target="_blank">湖州</a> <a href="/tags/1185/" title="浙江" class="c1" target="_blank">浙江</a> 轴,

 <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1007/" title="浙江省" class="c1" target="_blank">浙江省</a> <a href="/tags/1087/" title="湖州" class="c1" target="_blank">湖州</a> <a href="/tags/1185/" title="浙江" class="c1" target="_blank">浙江</a>

 <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1007/" title="浙江省" class="c1" target="_blank">浙江省</a> <a href="/tags/1087/" title="湖州" class="c1" target="_blank">湖州</a> <a href="/tags/1185/" title="浙江" class="c1" target="_blank">浙江</a>  <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1007/" title="浙江省" class="c1" target="_blank">浙江省</a> <a href="/tags/1087/" title="湖州" class="c1" target="_blank">湖州</a> <a href="/tags/1185/" title="浙江" class="c1" target="_blank">浙江</a> 是抛物线的顶点坐标,

 <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1007/" title="浙江省" class="c1" target="_blank">浙江省</a> <a href="/tags/1087/" title="湖州" class="c1" target="_blank">湖州</a> <a href="/tags/1185/" title="浙江" class="c1" target="_blank">浙江</a>  <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1007/" title="浙江省" class="c1" target="_blank">浙江省</a> <a href="/tags/1087/" title="湖州" class="c1" target="_blank">湖州</a> <a href="/tags/1185/" title="浙江" class="c1" target="_blank">浙江</a>

 <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1007/" title="浙江省" class="c1" target="_blank">浙江省</a> <a href="/tags/1087/" title="湖州" class="c1" target="_blank">湖州</a> <a href="/tags/1185/" title="浙江" class="c1" target="_blank">浙江</a>

 <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1007/" title="浙江省" class="c1" target="_blank">浙江省</a> <a href="/tags/1087/" title="湖州" class="c1" target="_blank">湖州</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/1087/" title="湖州" class="c1" target="_blank">湖州</a> <a href="/tags/1185/" title="浙江" class="c1" target="_blank">浙江</a> 是平行四边形,

 <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1007/" title="浙江省" class="c1" target="_blank">浙江省</a> <a href="/tags/1087/" title="湖州" class="c1" target="_blank">湖州</a> <a href="/tags/1185/" title="浙江" class="c1" target="_blank">浙江</a>  <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1007/" title="浙江省" class="c1" target="_blank">浙江省</a> <a href="/tags/1087/" title="湖州" class="c1" target="_blank">湖州</a> <a href="/tags/1185/" title="浙江" class="c1" target="_blank">浙江</a>

 <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1007/" title="浙江省" class="c1" target="_blank">浙江省</a> <a href="/tags/1087/" title="湖州" class="c1" target="_blank">湖州</a> <a href="/tags/1185/" title="浙江" class="c1" target="_blank">浙江</a>

 <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1007/" title="浙江省" class="c1" target="_blank">浙江省</a> <a href="/tags/1087/" title="湖州" class="c1" target="_blank">湖州</a> <a href="/tags/1185/" title="浙江" class="c1" target="_blank">浙江</a>

 <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1007/" title="浙江省" class="c1" target="_blank">浙江省</a> <a href="/tags/1087/" title="湖州" class="c1" target="_blank">湖州</a> <a href="/tags/1185/" title="浙江" class="c1" target="_blank">浙江</a>

 <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1007/" title="浙江省" class="c1" target="_blank">浙江省</a> <a href="/tags/1087/" title="湖州" class="c1" target="_blank">湖州</a> <a href="/tags/1185/" title="浙江" class="c1" target="_blank">浙江</a>

 <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1007/" title="浙江省" class="c1" target="_blank">浙江省</a> <a href="/tags/1087/" title="湖州" class="c1" target="_blank">湖州</a> <a href="/tags/1185/" title="浙江" class="c1" target="_blank">浙江</a>  <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1007/" title="浙江省" class="c1" target="_blank">浙江省</a> <a href="/tags/1087/" title="湖州" class="c1" target="_blank">湖州</a> <a href="/tags/1185/" title="浙江" class="c1" target="_blank">浙江</a>

 <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1007/" title="浙江省" class="c1" target="_blank">浙江省</a> <a href="/tags/1087/" title="湖州" class="c1" target="_blank">湖州</a> <a href="/tags/1185/" title="浙江" class="c1" target="_blank">浙江</a>


2)如图2 <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1007/" title="浙江省" class="c1" target="_blank">浙江省</a> <a href="/tags/1087/" title="湖州" class="c1" target="_blank">湖州</a> <a href="/tags/1185/" title="浙江" class="c1" target="_blank">浙江</a>

 <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1007/" title="浙江省" class="c1" target="_blank">浙江省</a> <a href="/tags/1087/" title="湖州" class="c1" target="_blank">湖州</a> <a href="/tags/1185/" title="浙江" class="c1" target="_blank">浙江</a> 抛物线的解析式为 <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/1087/" title="湖州" class="c1" target="_blank">湖州</a> <a href="/tags/1185/" title="浙江" class="c1" target="_blank">浙江</a>

 <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1007/" title="浙江省" class="c1" target="_blank">浙江省</a> <a href="/tags/1087/" title="湖州" class="c1" target="_blank">湖州</a> <a href="/tags/1185/" title="浙江" class="c1" target="_blank">浙江</a> 顶点坐标 <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1007/" title="浙江省" class="c1" target="_blank">浙江省</a> <a href="/tags/1087/" title="湖州" class="c1" target="_blank">湖州</a> <a href="/tags/1185/" title="浙江" class="c1" target="_blank">浙江</a>

假设存在这样的点 <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1007/" title="浙江省" class="c1" target="_blank">浙江省</a> <a href="/tags/1087/" title="湖州" class="c1" target="_blank">湖州</a> <a href="/tags/1185/" title="浙江" class="c1" target="_blank">浙江</a> 使四边形 <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/1087/" title="湖州" class="c1" target="_blank">湖州</a> <a href="/tags/1185/" title="浙江" class="c1" target="_blank">浙江</a> 是平行四边形,

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/1087/" title="湖州" class="c1" target="_blank">湖州</a> <a href="/tags/1185/" title="浙江" class="c1" target="_blank">浙江</a>  <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1007/" title="浙江省" class="c1" target="_blank">浙江省</a> <a href="/tags/1087/" title="湖州" class="c1" target="_blank">湖州</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/1087/" title="湖州" class="c1" target="_blank">湖州</a> <a href="/tags/1185/" title="浙江" class="c1" target="_blank">浙江</a>  <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1007/" title="浙江省" class="c1" target="_blank">浙江省</a> <a href="/tags/1087/" title="湖州" class="c1" target="_blank">湖州</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/1087/" title="湖州" class="c1" target="_blank">湖州</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/1087/" title="湖州" class="c1" target="_blank">湖州</a> <a href="/tags/1185/" title="浙江" class="c1" target="_blank">浙江</a>  <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1007/" title="浙江省" class="c1" target="_blank">浙江省</a> <a href="/tags/1087/" title="湖州" class="c1" target="_blank">湖州</a> <a href="/tags/1185/" title="浙江" class="c1" target="_blank">浙江</a>

 <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1007/" title="浙江省" class="c1" target="_blank">浙江省</a> <a href="/tags/1087/" title="湖州" class="c1" target="_blank">湖州</a> <a href="/tags/1185/" title="浙江" class="c1" target="_blank">浙江</a>

 <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1007/" title="浙江省" class="c1" target="_blank">浙江省</a> <a href="/tags/1087/" title="湖州" class="c1" target="_blank">湖州</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/1087/" title="湖州" class="c1" target="_blank">湖州</a> <a href="/tags/1185/" title="浙江" class="c1" target="_blank">浙江</a> 是平行四边形,

 <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1007/" title="浙江省" class="c1" target="_blank">浙江省</a> <a href="/tags/1087/" title="湖州" class="c1" target="_blank">湖州</a> <a href="/tags/1185/" title="浙江" class="c1" target="_blank">浙江</a>  <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1007/" title="浙江省" class="c1" target="_blank">浙江省</a> <a href="/tags/1087/" title="湖州" class="c1" target="_blank">湖州</a> <a href="/tags/1185/" title="浙江" class="c1" target="_blank">浙江</a>

 <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1007/" title="浙江省" class="c1" target="_blank">浙江省</a> <a href="/tags/1087/" title="湖州" class="c1" target="_blank">湖州</a> <a href="/tags/1185/" title="浙江" class="c1" target="_blank">浙江</a>

 <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1007/" title="浙江省" class="c1" target="_blank">浙江省</a> <a href="/tags/1087/" title="湖州" class="c1" target="_blank">湖州</a> <a href="/tags/1185/" title="浙江" class="c1" target="_blank">浙江</a>

 <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1007/" title="浙江省" class="c1" target="_blank">浙江省</a> <a href="/tags/1087/" title="湖州" class="c1" target="_blank">湖州</a> <a href="/tags/1185/" title="浙江" class="c1" target="_blank">浙江</a>  <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1007/" title="浙江省" class="c1" target="_blank">浙江省</a> <a href="/tags/1087/" title="湖州" class="c1" target="_blank">湖州</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/1087/" title="湖州" class="c1" target="_blank">湖州</a> <a href="/tags/1185/" title="浙江" class="c1" target="_blank">浙江</a>  <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1007/" title="浙江省" class="c1" target="_blank">浙江省</a> <a href="/tags/1087/" title="湖州" class="c1" target="_blank">湖州</a> <a href="/tags/1185/" title="浙江" class="c1" target="_blank">浙江</a> 轴于 <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/1087/" title="湖州" class="c1" target="_blank">湖州</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/1087/" title="湖州" class="c1" target="_blank">湖州</a> <a href="/tags/1185/" title="浙江" class="c1" target="_blank">浙江</a>  <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1007/" title="浙江省" class="c1" target="_blank">浙江省</a> <a href="/tags/1087/" title="湖州" class="c1" target="_blank">湖州</a> <a href="/tags/1185/" title="浙江" class="c1" target="_blank">浙江</a>

 <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1007/" title="浙江省" class="c1" target="_blank">浙江省</a> <a href="/tags/1087/" title="湖州" class="c1" target="_blank">湖州</a> <a href="/tags/1185/" title="浙江" class="c1" target="_blank">浙江</a>

 <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1007/" title="浙江省" class="c1" target="_blank">浙江省</a> <a href="/tags/1087/" title="湖州" class="c1" target="_blank">湖州</a> <a href="/tags/1185/" title="浙江" class="c1" target="_blank">浙江</a>

 <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1007/" title="浙江省" class="c1" target="_blank">浙江省</a> <a href="/tags/1087/" title="湖州" class="c1" target="_blank">湖州</a> <a href="/tags/1185/" title="浙江" class="c1" target="_blank">浙江</a>  <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1007/" title="浙江省" class="c1" target="_blank">浙江省</a> <a href="/tags/1087/" title="湖州" class="c1" target="_blank">湖州</a> <a href="/tags/1185/" title="浙江" class="c1" target="_blank">浙江</a>

 <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1007/" title="浙江省" class="c1" target="_blank">浙江省</a> <a href="/tags/1087/" title="湖州" class="c1" target="_blank">湖州</a> <a href="/tags/1185/" title="浙江" class="c1" target="_blank">浙江</a>  <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1007/" title="浙江省" class="c1" target="_blank">浙江省</a> <a href="/tags/1087/" title="湖州" class="c1" target="_blank">湖州</a> <a href="/tags/1185/" title="浙江" class="c1" target="_blank">浙江</a>

 <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1007/" title="浙江省" class="c1" target="_blank">浙江省</a> <a href="/tags/1087/" title="湖州" class="c1" target="_blank">湖州</a> <a href="/tags/1185/" title="浙江" class="c1" target="_blank">浙江</a>  <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1007/" title="浙江省" class="c1" target="_blank">浙江省</a> <a href="/tags/1087/" title="湖州" class="c1" target="_blank">湖州</a> <a href="/tags/1185/" title="浙江" class="c1" target="_blank">浙江</a>

 <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1007/" title="浙江省" class="c1" target="_blank">浙江省</a> <a href="/tags/1087/" title="湖州" class="c1" target="_blank">湖州</a> <a href="/tags/1185/" title="浙江" class="c1" target="_blank">浙江</a>  <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1007/" title="浙江省" class="c1" target="_blank">浙江省</a> <a href="/tags/1087/" title="湖州" class="c1" target="_blank">湖州</a> <a href="/tags/1185/" title="浙江" class="c1" target="_blank">浙江</a>

 <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1007/" title="浙江省" class="c1" target="_blank">浙江省</a> <a href="/tags/1087/" title="湖州" class="c1" target="_blank">湖州</a> <a href="/tags/1185/" title="浙江" class="c1" target="_blank">浙江</a>  <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1007/" title="浙江省" class="c1" target="_blank">浙江省</a> <a href="/tags/1087/" title="湖州" class="c1" target="_blank">湖州</a> <a href="/tags/1185/" title="浙江" class="c1" target="_blank">浙江</a> 的纵坐标为 <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/1087/" title="湖州" class="c1" target="_blank">湖州</a> <a href="/tags/1185/" title="浙江" class="c1" target="_blank">浙江</a>

 <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1007/" title="浙江省" class="c1" target="_blank">浙江省</a> <a href="/tags/1087/" title="湖州" class="c1" target="_blank">湖州</a> <a href="/tags/1185/" title="浙江" class="c1" target="_blank">浙江</a> 轴,

 <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1007/" title="浙江省" class="c1" target="_blank">浙江省</a> <a href="/tags/1087/" title="湖州" class="c1" target="_blank">湖州</a> <a href="/tags/1185/" title="浙江" class="c1" target="_blank">浙江</a>  <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1007/" title="浙江省" class="c1" target="_blank">浙江省</a> <a href="/tags/1087/" title="湖州" class="c1" target="_blank">湖州</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/1087/" title="湖州" class="c1" target="_blank">湖州</a> <a href="/tags/1185/" title="浙江" class="c1" target="_blank">浙江</a>  <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1007/" title="浙江省" class="c1" target="_blank">浙江省</a> <a href="/tags/1087/" title="湖州" class="c1" target="_blank">湖州</a> <a href="/tags/1185/" title="浙江" class="c1" target="_blank">浙江</a>

 <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1007/" title="浙江省" class="c1" target="_blank">浙江省</a> <a href="/tags/1087/" title="湖州" class="c1" target="_blank">湖州</a> <a href="/tags/1185/" title="浙江" class="c1" target="_blank">浙江</a>

 <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1007/" title="浙江省" class="c1" target="_blank">浙江省</a> <a href="/tags/1087/" title="湖州" class="c1" target="_blank">湖州</a> <a href="/tags/1185/" title="浙江" class="c1" target="_blank">浙江</a>  <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1007/" title="浙江省" class="c1" target="_blank">浙江省</a> <a href="/tags/1087/" title="湖州" class="c1" target="_blank">湖州</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/1087/" title="湖州" class="c1" target="_blank">湖州</a> <a href="/tags/1185/" title="浙江" class="c1" target="_blank">浙江</a>

 <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1007/" title="浙江省" class="c1" target="_blank">浙江省</a> <a href="/tags/1087/" title="湖州" class="c1" target="_blank">湖州</a> <a href="/tags/1185/" title="浙江" class="c1" target="_blank">浙江</a>

 <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1007/" title="浙江省" class="c1" target="_blank">浙江省</a> <a href="/tags/1087/" title="湖州" class="c1" target="_blank">湖州</a> <a href="/tags/1185/" title="浙江" class="c1" target="_blank">浙江</a>

 <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1007/" title="浙江省" class="c1" target="_blank">浙江省</a> <a href="/tags/1087/" title="湖州" class="c1" target="_blank">湖州</a> <a href="/tags/1185/" title="浙江" class="c1" target="_blank">浙江</a>

 <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1007/" title="浙江省" class="c1" target="_blank">浙江省</a> <a href="/tags/1087/" title="湖州" class="c1" target="_blank">湖州</a> <a href="/tags/1185/" title="浙江" class="c1" target="_blank">浙江</a>  <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1007/" title="浙江省" class="c1" target="_blank">浙江省</a> <a href="/tags/1087/" title="湖州" class="c1" target="_blank">湖州</a> <a href="/tags/1185/" title="浙江" class="c1" target="_blank">浙江</a>

 <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1007/" title="浙江省" class="c1" target="_blank">浙江省</a> <a href="/tags/1087/" title="湖州" class="c1" target="_blank">湖州</a> <a href="/tags/1185/" title="浙江" class="c1" target="_blank">浙江</a>  <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1007/" title="浙江省" class="c1" target="_blank">浙江省</a> <a href="/tags/1087/" title="湖州" class="c1" target="_blank">湖州</a> <a href="/tags/1185/" title="浙江" class="c1" target="_blank">浙江</a>

 <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1007/" title="浙江省" class="c1" target="_blank">浙江省</a> <a href="/tags/1087/" title="湖州" class="c1" target="_blank">湖州</a> <a href="/tags/1185/" title="浙江" class="c1" target="_blank">浙江</a>

 <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1007/" title="浙江省" class="c1" target="_blank">浙江省</a> <a href="/tags/1087/" title="湖州" class="c1" target="_blank">湖州</a> <a href="/tags/1185/" title="浙江" class="c1" target="_blank">浙江</a>

 <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1007/" title="浙江省" class="c1" target="_blank">浙江省</a> <a href="/tags/1087/" title="湖州" class="c1" target="_blank">湖州</a> <a href="/tags/1185/" title="浙江" class="c1" target="_blank">浙江</a>  <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1007/" title="浙江省" class="c1" target="_blank">浙江省</a> <a href="/tags/1087/" title="湖州" class="c1" target="_blank">湖州</a> <a href="/tags/1185/" title="浙江" class="c1" target="_blank">浙江</a> 纵坐标为 <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/1087/" title="湖州" class="c1" target="_blank">湖州</a> <a href="/tags/1185/" title="浙江" class="c1" target="_blank">浙江</a>

 <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1007/" title="浙江省" class="c1" target="_blank">浙江省</a> <a href="/tags/1087/" title="湖州" class="c1" target="_blank">湖州</a> <a href="/tags/1185/" title="浙江" class="c1" target="_blank">浙江</a>  <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1007/" title="浙江省" class="c1" target="_blank">浙江省</a> <a href="/tags/1087/" title="湖州" class="c1" target="_blank">湖州</a> <a href="/tags/1185/" title="浙江" class="c1" target="_blank">浙江</a>

 <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1007/" title="浙江省" class="c1" target="_blank">浙江省</a> <a href="/tags/1087/" title="湖州" class="c1" target="_blank">湖州</a> <a href="/tags/1185/" title="浙江" class="c1" target="_blank">浙江</a> 存在这样的点 <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1007/" title="浙江省" class="c1" target="_blank">浙江省</a> <a href="/tags/1087/" title="湖州" class="c1" target="_blank">湖州</a> <a href="/tags/1185/" title="浙江" class="c1" target="_blank">浙江</a> ,使四边形 <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/1087/" title="湖州" class="c1" target="_blank">湖州</a> <a href="/tags/1185/" title="浙江" class="c1" target="_blank">浙江</a> 是平行四边形.

Shape46

Shape47

【点评】此题是二次函数综合题,主要考查了待定系数法,平行线的性质,全等三角形的判定和性质,相似三角形的判定和性质,构造出 <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/1087/" title="湖州" class="c1" target="_blank">湖州</a> <a href="/tags/1185/" title="浙江" class="c1" target="_blank">浙江</a> 是解本题的关键.