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【330377】2020年浙江省台州市中考数学试卷

时间:2025-02-09 11:13:05 作者: 字数:24084字

2020年浙江省台州市中考数学试卷

一、选择题(本题有10小题,每小题4分,共40分.请选出各题中一个符合题意的正确选项,不选、多选、错选,均不给分)

1.(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/1091/" title="台州" class="c1" target="_blank">台州</a> <a href="/tags/1185/" title="浙江" class="c1" target="_blank">浙江</a> 的结果是 <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1007/" title="浙江省" class="c1" target="_blank">浙江省</a> <a href="/tags/1091/" title="台州" class="c1" target="_blank">台州</a> <a href="/tags/1185/" title="浙江" class="c1" target="_blank">浙江</a>    <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1007/" title="浙江省" class="c1" target="_blank">浙江省</a> <a href="/tags/1091/" title="台州" class="c1" target="_blank">台州</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/1091/" title="台州" class="c1" target="_blank">台州</a> <a href="/tags/1185/" title="浙江" class="c1" target="_blank">浙江</a> C4 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/1091/" title="台州" class="c1" target="_blank">台州</a> <a href="/tags/1185/" title="浙江" class="c1" target="_blank">浙江</a>

2.(4分)用三个相同的正方体搭成如图所示的立体图形,则该立体图形的主视图是 <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/1091/" title="台州" class="c1" target="_blank">台州</a> <a href="/tags/1185/" title="浙江" class="c1" target="_blank">浙江</a>    <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1007/" title="浙江省" class="c1" target="_blank">浙江省</a> <a href="/tags/1091/" title="台州" class="c1" target="_blank">台州</a> <a href="/tags/1185/" title="浙江" class="c1" target="_blank">浙江</a>

Shape1

AShape2 BShape3 CShape4 DShape5

3.(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/1091/" title="台州" class="c1" target="_blank">台州</a> <a href="/tags/1185/" title="浙江" class="c1" target="_blank">浙江</a> 的结果是 <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1007/" title="浙江省" class="c1" target="_blank">浙江省</a> <a href="/tags/1091/" title="台州" class="c1" target="_blank">台州</a> <a href="/tags/1185/" title="浙江" class="c1" target="_blank">浙江</a>    <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1007/" title="浙江省" class="c1" target="_blank">浙江省</a> <a href="/tags/1091/" title="台州" class="c1" target="_blank">台州</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/1091/" title="台州" class="c1" target="_blank">台州</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/1091/" title="台州" class="c1" target="_blank">台州</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/1091/" title="台州" class="c1" target="_blank">台州</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/1091/" title="台州" class="c1" target="_blank">台州</a> <a href="/tags/1185/" title="浙江" class="c1" target="_blank">浙江</a>

4.(4分)无理数 <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/1091/" title="台州" class="c1" target="_blank">台州</a> <a href="/tags/1185/" title="浙江" class="c1" target="_blank">浙江</a>  <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1007/" title="浙江省" class="c1" target="_blank">浙江省</a> <a href="/tags/1091/" title="台州" class="c1" target="_blank">台州</a> <a href="/tags/1185/" title="浙江" class="c1" target="_blank">浙江</a>    <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1007/" title="浙江省" class="c1" target="_blank">浙江省</a> <a href="/tags/1091/" title="台州" class="c1" target="_blank">台州</a> <a href="/tags/1185/" title="浙江" class="c1" target="_blank">浙江</a>

A23之间 B34之间 C45之间 D56之间

5.(4分)在一次数学测试中,小明成绩72分,超过班级半数同学的成绩,分折得出这个结论所用的统计量是 <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/1091/" title="台州" class="c1" target="_blank">台州</a> <a href="/tags/1185/" title="浙江" class="c1" target="_blank">浙江</a>    <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1007/" title="浙江省" class="c1" target="_blank">浙江省</a> <a href="/tags/1091/" title="台州" class="c1" target="_blank">台州</a> <a href="/tags/1185/" title="浙江" class="c1" target="_blank">浙江</a>

A.中位数 B.众数 C.平均数 D.方差

6.(4分)如图,把 <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1007/" title="浙江省" class="c1" target="_blank">浙江省</a> <a href="/tags/1091/" title="台州" class="c1" target="_blank">台州</a> <a href="/tags/1185/" title="浙江" class="c1" target="_blank">浙江</a> 先向右平移3个单位,再向上平移2个单位得到 <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/1091/" title="台州" class="c1" target="_blank">台州</a> <a href="/tags/1185/" title="浙江" class="c1" target="_blank">浙江</a> ,则顶点 <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/1091/" title="台州" class="c1" target="_blank">台州</a> <a href="/tags/1185/" title="浙江" class="c1" target="_blank">浙江</a> 对应点的坐标为 <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/1091/" title="台州" class="c1" target="_blank">台州</a> <a href="/tags/1185/" title="浙江" class="c1" target="_blank">浙江</a>    <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1007/" title="浙江省" class="c1" target="_blank">浙江省</a> <a href="/tags/1091/" title="台州" class="c1" target="_blank">台州</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/1091/" title="台州" class="c1" target="_blank">台州</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/1091/" title="台州" class="c1" target="_blank">台州</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/1091/" title="台州" class="c1" target="_blank">台州</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/1091/" title="台州" class="c1" target="_blank">台州</a> <a href="/tags/1185/" title="浙江" class="c1" target="_blank">浙江</a>

7.(4分)如图,已知线段 <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/1091/" title="台州" class="c1" target="_blank">台州</a> <a href="/tags/1185/" title="浙江" class="c1" target="_blank">浙江</a> ,分别以 <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/1091/" title="台州" class="c1" target="_blank">台州</a> <a href="/tags/1185/" title="浙江" class="c1" target="_blank">浙江</a>  <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1007/" title="浙江省" class="c1" target="_blank">浙江省</a> <a href="/tags/1091/" title="台州" class="c1" target="_blank">台州</a> <a href="/tags/1185/" title="浙江" class="c1" target="_blank">浙江</a> 为圆心,大于 <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/1091/" title="台州" class="c1" target="_blank">台州</a> <a href="/tags/1185/" title="浙江" class="c1" target="_blank">浙江</a> 同样长为半径画弧,两弧交于点 <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1007/" title="浙江省" class="c1" target="_blank">浙江省</a> <a href="/tags/1091/" title="台州" class="c1" target="_blank">台州</a> <a href="/tags/1185/" title="浙江" class="c1" target="_blank">浙江</a>  <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1007/" title="浙江省" class="c1" target="_blank">浙江省</a> <a href="/tags/1091/" title="台州" class="c1" target="_blank">台州</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/1091/" title="台州" class="c1" target="_blank">台州</a> <a href="/tags/1185/" title="浙江" class="c1" target="_blank">浙江</a>  <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1007/" title="浙江省" class="c1" target="_blank">浙江省</a> <a href="/tags/1091/" title="台州" class="c1" target="_blank">台州</a> <a href="/tags/1185/" title="浙江" class="c1" target="_blank">浙江</a>  <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1007/" title="浙江省" class="c1" target="_blank">浙江省</a> <a href="/tags/1091/" title="台州" class="c1" target="_blank">台州</a> <a href="/tags/1185/" title="浙江" class="c1" target="_blank">浙江</a>  <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1007/" title="浙江省" class="c1" target="_blank">浙江省</a> <a href="/tags/1091/" title="台州" class="c1" target="_blank">台州</a> <a href="/tags/1185/" title="浙江" class="c1" target="_blank">浙江</a>  <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1007/" title="浙江省" class="c1" target="_blank">浙江省</a> <a href="/tags/1091/" title="台州" class="c1" target="_blank">台州</a> <a href="/tags/1185/" title="浙江" class="c1" target="_blank">浙江</a> ,则下列说法错误的是 <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/1091/" title="台州" class="c1" target="_blank">台州</a> <a href="/tags/1185/" title="浙江" class="c1" target="_blank">浙江</a>    <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1007/" title="浙江省" class="c1" target="_blank">浙江省</a> <a href="/tags/1091/" title="台州" class="c1" target="_blank">台州</a> <a href="/tags/1185/" title="浙江" class="c1" target="_blank">浙江</a>

Shape7

A <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1007/" title="浙江省" class="c1" target="_blank">浙江省</a> <a href="/tags/1091/" title="台州" class="c1" target="_blank">台州</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/1091/" title="台州" class="c1" target="_blank">台州</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/1091/" title="台州" class="c1" target="_blank">台州</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/1091/" title="台州" class="c1" target="_blank">台州</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/1091/" title="台州" class="c1" target="_blank">台州</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/1091/" title="台州" class="c1" target="_blank">台州</a> <a href="/tags/1185/" title="浙江" class="c1" target="_blank">浙江</a>

8.(4分)下列是关于某个四边形的三个结论:它的对角线相等;它是一个正方形;它是一个矩形.下列推理过程正确的是 <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/1091/" title="台州" class="c1" target="_blank">台州</a> <a href="/tags/1185/" title="浙江" class="c1" target="_blank">浙江</a>    <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1007/" title="浙江省" class="c1" target="_blank">浙江省</a> <a href="/tags/1091/" title="台州" class="c1" target="_blank">台州</a> <a href="/tags/1185/" title="浙江" class="c1" target="_blank">浙江</a>

A.由推出,由推出 B.由推出,由推出

C.由推出,由推出 D.由推出,由推出

9.(4分)如图1,小球从左侧的斜坡滚下,到达底端后又沿着右侧斜坡向上滚,在这个过程中,小球的运动速度 <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1007/" title="浙江省" class="c1" target="_blank">浙江省</a> <a href="/tags/1091/" title="台州" class="c1" target="_blank">台州</a> <a href="/tags/1185/" title="浙江" class="c1" target="_blank">浙江</a> (单位: <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/1091/" title="台州" class="c1" target="_blank">台州</a> <a href="/tags/1185/" title="浙江" class="c1" target="_blank">浙江</a> 与运动时间 <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1007/" title="浙江省" class="c1" target="_blank">浙江省</a> <a href="/tags/1091/" title="台州" class="c1" target="_blank">台州</a> <a href="/tags/1185/" title="浙江" class="c1" target="_blank">浙江</a> (单位: <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/1091/" title="台州" class="c1" target="_blank">台州</a> <a href="/tags/1185/" title="浙江" class="c1" target="_blank">浙江</a> 的函数图象如图2,则该小球的运动路程 <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1007/" title="浙江省" class="c1" target="_blank">浙江省</a> <a href="/tags/1091/" title="台州" class="c1" target="_blank">台州</a> <a href="/tags/1185/" title="浙江" class="c1" target="_blank">浙江</a> (单位: <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/1091/" title="台州" class="c1" target="_blank">台州</a> <a href="/tags/1185/" title="浙江" class="c1" target="_blank">浙江</a> 与运动时间 <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1007/" title="浙江省" class="c1" target="_blank">浙江省</a> <a href="/tags/1091/" title="台州" class="c1" target="_blank">台州</a> <a href="/tags/1185/" title="浙江" class="c1" target="_blank">浙江</a> (单位: <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/1091/" title="台州" class="c1" target="_blank">台州</a> <a href="/tags/1185/" title="浙江" class="c1" target="_blank">浙江</a> 之间的函数图象大致是 <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/1091/" title="台州" class="c1" target="_blank">台州</a> <a href="/tags/1185/" title="浙江" class="c1" target="_blank">浙江</a>    <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1007/" title="浙江省" class="c1" target="_blank">浙江省</a> <a href="/tags/1091/" title="台州" class="c1" target="_blank">台州</a> <a href="/tags/1185/" title="浙江" class="c1" target="_blank">浙江</a>

Shape8

AShape9 BShape10

CShape11 DShape12

10.(4分)把一张宽为 <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1007/" title="浙江省" class="c1" target="_blank">浙江省</a> <a href="/tags/1091/" title="台州" class="c1" target="_blank">台州</a> <a href="/tags/1185/" title="浙江" class="c1" target="_blank">浙江</a> 的长方形纸片 <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1007/" title="浙江省" class="c1" target="_blank">浙江省</a> <a href="/tags/1091/" title="台州" class="c1" target="_blank">台州</a> <a href="/tags/1185/" title="浙江" class="c1" target="_blank">浙江</a> 折叠成如图所示的阴影图案,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/1091/" title="台州" class="c1" target="_blank">台州</a> <a href="/tags/1185/" title="浙江" class="c1" target="_blank">浙江</a>  <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1007/" title="浙江省" class="c1" target="_blank">浙江省</a> <a href="/tags/1091/" title="台州" class="c1" target="_blank">台州</a> <a href="/tags/1185/" title="浙江" class="c1" target="_blank">浙江</a> 互相重合,中间空白部分是以 <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/1091/" title="台州" class="c1" target="_blank">台州</a> <a href="/tags/1185/" title="浙江" class="c1" target="_blank">浙江</a> 为直角顶点,腰长为 <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/1091/" title="台州" class="c1" target="_blank">台州</a> <a href="/tags/1185/" title="浙江" class="c1" target="_blank">浙江</a> 的等腰直角三角形,则纸片的长 <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/1091/" title="台州" class="c1" target="_blank">台州</a> <a href="/tags/1185/" title="浙江" class="c1" target="_blank">浙江</a> (单位: <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/1091/" title="台州" class="c1" target="_blank">台州</a> <a href="/tags/1185/" title="浙江" class="c1" target="_blank">浙江</a>  <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1007/" title="浙江省" class="c1" target="_blank">浙江省</a> <a href="/tags/1091/" title="台州" class="c1" target="_blank">台州</a> <a href="/tags/1185/" title="浙江" class="c1" target="_blank">浙江</a>    <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1007/" title="浙江省" class="c1" target="_blank">浙江省</a> <a href="/tags/1091/" title="台州" class="c1" target="_blank">台州</a> <a href="/tags/1185/" title="浙江" class="c1" target="_blank">浙江</a>

Shape13

A <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1007/" title="浙江省" class="c1" target="_blank">浙江省</a> <a href="/tags/1091/" title="台州" class="c1" target="_blank">台州</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/1091/" title="台州" class="c1" target="_blank">台州</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/1091/" title="台州" class="c1" target="_blank">台州</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/1091/" title="台州" class="c1" target="_blank">台州</a> <a href="/tags/1185/" title="浙江" class="c1" target="_blank">浙江</a>

二、填空题(本题有6小题,每小题5分,共30分)

11.(5分)因式分解: <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1007/" title="浙江省" class="c1" target="_blank">浙江省</a> <a href="/tags/1091/" title="台州" class="c1" target="_blank">台州</a> <a href="/tags/1185/" title="浙江" class="c1" target="_blank">浙江</a>   

12.(5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/1091/" title="台州" class="c1" target="_blank">台州</a> <a href="/tags/1185/" title="浙江" class="c1" target="_blank">浙江</a> 的结果是  

13.(5分)如图,等边三角形纸片 <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1007/" title="浙江省" class="c1" target="_blank">浙江省</a> <a href="/tags/1091/" title="台州" class="c1" target="_blank">台州</a> <a href="/tags/1185/" title="浙江" class="c1" target="_blank">浙江</a> 的边长为6 <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1007/" title="浙江省" class="c1" target="_blank">浙江省</a> <a href="/tags/1091/" title="台州" class="c1" target="_blank">台州</a> <a href="/tags/1185/" title="浙江" class="c1" target="_blank">浙江</a>  <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1007/" title="浙江省" class="c1" target="_blank">浙江省</a> <a href="/tags/1091/" title="台州" class="c1" target="_blank">台州</a> <a href="/tags/1185/" title="浙江" class="c1" target="_blank">浙江</a> 是边 <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1007/" title="浙江省" class="c1" target="_blank">浙江省</a> <a href="/tags/1091/" title="台州" class="c1" target="_blank">台州</a> <a href="/tags/1185/" title="浙江" class="c1" target="_blank">浙江</a> 上的三等分点.分别过点 <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/1091/" title="台州" class="c1" target="_blank">台州</a> <a href="/tags/1185/" title="浙江" class="c1" target="_blank">浙江</a>  <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1007/" title="浙江省" class="c1" target="_blank">浙江省</a> <a href="/tags/1091/" title="台州" class="c1" target="_blank">台州</a> <a href="/tags/1185/" title="浙江" class="c1" target="_blank">浙江</a> 沿着平行于 <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/1091/" title="台州" class="c1" target="_blank">台州</a> <a href="/tags/1185/" title="浙江" class="c1" target="_blank">浙江</a>  <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1007/" title="浙江省" class="c1" target="_blank">浙江省</a> <a href="/tags/1091/" title="台州" class="c1" target="_blank">台州</a> <a href="/tags/1185/" title="浙江" class="c1" target="_blank">浙江</a> 方向各剪一刀,则剪下的 <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/1091/" title="台州" class="c1" target="_blank">台州</a> <a href="/tags/1185/" title="浙江" class="c1" target="_blank">浙江</a> 的周长是  

Shape14

14.(5分)甲、乙两位同学在10次定点投篮训练中(每次训练投8个),各次训练成绩(投中个数)的折线统计图如图所示,他们成绩的方差分别为 <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1007/" title="浙江省" class="c1" target="_blank">浙江省</a> <a href="/tags/1091/" title="台州" class="c1" target="_blank">台州</a> <a href="/tags/1185/" title="浙江" class="c1" target="_blank">浙江</a>  <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1007/" title="浙江省" class="c1" target="_blank">浙江省</a> <a href="/tags/1091/" title="台州" class="c1" target="_blank">台州</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/1091/" title="台州" class="c1" target="_blank">台州</a> <a href="/tags/1185/" title="浙江" class="c1" target="_blank">浙江</a>    <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1007/" title="浙江省" class="c1" target="_blank">浙江省</a> <a href="/tags/1091/" title="台州" class="c1" target="_blank">台州</a> <a href="/tags/1185/" title="浙江" class="c1" target="_blank">浙江</a> .(填“ <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1007/" title="浙江省" class="c1" target="_blank">浙江省</a> <a href="/tags/1091/" title="台州" class="c1" target="_blank">台州</a> <a href="/tags/1185/" title="浙江" class="c1" target="_blank">浙江</a> ”、“  <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1007/" title="浙江省" class="c1" target="_blank">浙江省</a> <a href="/tags/1091/" title="台州" class="c1" target="_blank">台州</a> <a href="/tags/1185/" title="浙江" class="c1" target="_blank">浙江</a> ”、“  <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1007/" title="浙江省" class="c1" target="_blank">浙江省</a> <a href="/tags/1091/" title="台州" class="c1" target="_blank">台州</a> <a href="/tags/1185/" title="浙江" class="c1" target="_blank">浙江</a> ”中的一个)

Shape15

15.(5分)如图,在 <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1007/" title="浙江省" class="c1" target="_blank">浙江省</a> <a href="/tags/1091/" title="台州" class="c1" target="_blank">台州</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/1091/" title="台州" class="c1" target="_blank">台州</a> <a href="/tags/1185/" title="浙江" class="c1" target="_blank">浙江</a> 是边 <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1007/" title="浙江省" class="c1" target="_blank">浙江省</a> <a href="/tags/1091/" title="台州" class="c1" target="_blank">台州</a> <a href="/tags/1185/" title="浙江" class="c1" target="_blank">浙江</a> 上的一点,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/1091/" title="台州" class="c1" target="_blank">台州</a> <a href="/tags/1185/" title="浙江" class="c1" target="_blank">浙江</a> 为直径的 <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/1091/" title="台州" class="c1" target="_blank">台州</a> <a href="/tags/1185/" title="浙江" class="c1" target="_blank">浙江</a>  <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1007/" title="浙江省" class="c1" target="_blank">浙江省</a> <a href="/tags/1091/" title="台州" class="c1" target="_blank">台州</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/1091/" title="台州" class="c1" target="_blank">台州</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/1091/" title="台州" class="c1" target="_blank">台州</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/1091/" title="台州" class="c1" target="_blank">台州</a> <a href="/tags/1185/" title="浙江" class="c1" target="_blank">浙江</a>  <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1007/" title="浙江省" class="c1" target="_blank">浙江省</a> <a href="/tags/1091/" title="台州" class="c1" target="_blank">台州</a> <a href="/tags/1185/" title="浙江" class="c1" target="_blank">浙江</a> 相切, <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1007/" title="浙江省" class="c1" target="_blank">浙江省</a> <a href="/tags/1091/" title="台州" class="c1" target="_blank">台州</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/1091/" title="台州" class="c1" target="_blank">台州</a> <a href="/tags/1185/" title="浙江" class="c1" target="_blank">浙江</a> 的度数为  

Shape16

16.(5分)用四块大正方形地砖和一块小正方形地砖拼成如图所示的实线图案,每块大正方形地砖面积为 <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/1091/" title="台州" class="c1" target="_blank">台州</a> <a href="/tags/1185/" title="浙江" class="c1" target="_blank">浙江</a> ,小正方形地砖面积为 <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/1091/" title="台州" class="c1" target="_blank">台州</a> <a href="/tags/1185/" title="浙江" class="c1" target="_blank">浙江</a> ,依次连接四块大正方形地砖的中心得到正方形 <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/1091/" title="台州" class="c1" target="_blank">台州</a> <a href="/tags/1185/" title="浙江" class="c1" target="_blank">浙江</a> .则正方形 <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/1091/" title="台州" class="c1" target="_blank">台州</a> <a href="/tags/1185/" title="浙江" class="c1" target="_blank">浙江</a> 的面积为  .(用含 <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1007/" title="浙江省" class="c1" target="_blank">浙江省</a> <a href="/tags/1091/" title="台州" class="c1" target="_blank">台州</a> <a href="/tags/1185/" title="浙江" class="c1" target="_blank">浙江</a>  <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1007/" title="浙江省" class="c1" target="_blank">浙江省</a> <a href="/tags/1091/" title="台州" class="c1" target="_blank">台州</a> <a href="/tags/1185/" title="浙江" class="c1" target="_blank">浙江</a> 的代数式表示)

Shape17

三、解答题(本题有8小题,第1720题每题8分,第2110分,第2223题每题12分,第2414分,共80分)

17.(8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/1091/" title="台州" class="c1" target="_blank">台州</a> <a href="/tags/1185/" title="浙江" class="c1" target="_blank">浙江</a>

18.(8分)解方程组: <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1007/" title="浙江省" class="c1" target="_blank">浙江省</a> <a href="/tags/1091/" title="台州" class="c1" target="_blank">台州</a> <a href="/tags/1185/" title="浙江" class="c1" target="_blank">浙江</a>

19.(8分)人字折叠梯完全打开后如图1所示, <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1007/" title="浙江省" class="c1" target="_blank">浙江省</a> <a href="/tags/1091/" title="台州" class="c1" target="_blank">台州</a> <a href="/tags/1185/" title="浙江" class="c1" target="_blank">浙江</a>  <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1007/" title="浙江省" class="c1" target="_blank">浙江省</a> <a href="/tags/1091/" title="台州" class="c1" target="_blank">台州</a> <a href="/tags/1185/" title="浙江" class="c1" target="_blank">浙江</a> 是折叠梯的两个着地点, <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1007/" title="浙江省" class="c1" target="_blank">浙江省</a> <a href="/tags/1091/" title="台州" class="c1" target="_blank">台州</a> <a href="/tags/1185/" title="浙江" class="c1" target="_blank">浙江</a> 是折叠梯最高级踏板的固定点.图2是它的示意图, <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/1091/" title="台州" class="c1" target="_blank">台州</a> <a href="/tags/1185/" title="浙江" class="c1" target="_blank">浙江</a>  <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1007/" title="浙江省" class="c1" target="_blank">浙江省</a> <a href="/tags/1091/" title="台州" class="c1" target="_blank">台州</a> <a href="/tags/1185/" title="浙江" class="c1" target="_blank">浙江</a>  <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1007/" title="浙江省" class="c1" target="_blank">浙江省</a> <a href="/tags/1091/" title="台州" class="c1" target="_blank">台州</a> <a href="/tags/1185/" title="浙江" class="c1" target="_blank">浙江</a> ,求点 <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1007/" title="浙江省" class="c1" target="_blank">浙江省</a> <a href="/tags/1091/" title="台州" class="c1" target="_blank">台州</a> <a href="/tags/1185/" title="浙江" class="c1" target="_blank">浙江</a> 离地面的高度 <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1007/" title="浙江省" class="c1" target="_blank">浙江省</a> <a href="/tags/1091/" title="台州" class="c1" target="_blank">台州</a> <a href="/tags/1185/" title="浙江" class="c1" target="_blank">浙江</a> .(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/1091/" title="台州" class="c1" target="_blank">台州</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/1091/" title="台州" class="c1" target="_blank">台州</a> <a href="/tags/1185/" title="浙江" class="c1" target="_blank">浙江</a>  <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1007/" title="浙江省" class="c1" target="_blank">浙江省</a> <a href="/tags/1091/" title="台州" class="c1" target="_blank">台州</a> <a href="/tags/1185/" title="浙江" class="c1" target="_blank">浙江</a>  <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1007/" title="浙江省" class="c1" target="_blank">浙江省</a> <a href="/tags/1091/" title="台州" class="c1" target="_blank">台州</a> <a href="/tags/1185/" title="浙江" class="c1" target="_blank">浙江</a>  <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1007/" title="浙江省" class="c1" target="_blank">浙江省</a> <a href="/tags/1091/" title="台州" class="c1" target="_blank">台州</a> <a href="/tags/1185/" title="浙江" class="c1" target="_blank">浙江</a>

Shape18

20.(8分)小明同学训练某种运算技能,每次训练完成相同数量的题目,各次训练题目难度相当.当训练次数不超过15次时,完成一次训练所需要的时间 <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1007/" title="浙江省" class="c1" target="_blank">浙江省</a> <a href="/tags/1091/" title="台州" class="c1" target="_blank">台州</a> <a href="/tags/1185/" title="浙江" class="c1" target="_blank">浙江</a> (单位:秒)与训练次数 <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/1091/" title="台州" class="c1" target="_blank">台州</a> <a href="/tags/1185/" title="浙江" class="c1" target="_blank">浙江</a> (单位:次)之间满足如图所示的反比例函数关系.完成第3次训练所需时间为400秒.

1)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/1091/" title="台州" class="c1" target="_blank">台州</a> <a href="/tags/1185/" title="浙江" class="c1" target="_blank">浙江</a>  <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1007/" title="浙江省" class="c1" target="_blank">浙江省</a> <a href="/tags/1091/" title="台州" class="c1" target="_blank">台州</a> <a href="/tags/1185/" title="浙江" class="c1" target="_blank">浙江</a> 之间的函数关系式;

2)当 <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1007/" title="浙江省" class="c1" target="_blank">浙江省</a> <a href="/tags/1091/" title="台州" class="c1" target="_blank">台州</a> <a href="/tags/1185/" title="浙江" class="c1" target="_blank">浙江</a> 的值为6810时,对应的函数值分别为 <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1007/" title="浙江省" class="c1" target="_blank">浙江省</a> <a href="/tags/1091/" title="台州" class="c1" target="_blank">台州</a> <a href="/tags/1185/" title="浙江" class="c1" target="_blank">浙江</a>  <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1007/" title="浙江省" class="c1" target="_blank">浙江省</a> <a href="/tags/1091/" title="台州" class="c1" target="_blank">台州</a> <a href="/tags/1185/" title="浙江" class="c1" target="_blank">浙江</a>  <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1007/" title="浙江省" class="c1" target="_blank">浙江省</a> <a href="/tags/1091/" title="台州" class="c1" target="_blank">台州</a> <a href="/tags/1185/" title="浙江" class="c1" target="_blank">浙江</a> ,比较 <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1007/" title="浙江省" class="c1" target="_blank">浙江省</a> <a href="/tags/1091/" title="台州" class="c1" target="_blank">台州</a> <a href="/tags/1185/" title="浙江" class="c1" target="_blank">浙江</a>  <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1007/" title="浙江省" class="c1" target="_blank">浙江省</a> <a href="/tags/1091/" title="台州" class="c1" target="_blank">台州</a> <a href="/tags/1185/" title="浙江" class="c1" target="_blank">浙江</a> 的大小: <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1007/" title="浙江省" class="c1" target="_blank">浙江省</a> <a href="/tags/1091/" title="台州" class="c1" target="_blank">台州</a> <a href="/tags/1185/" title="浙江" class="c1" target="_blank">浙江</a>    <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1007/" title="浙江省" class="c1" target="_blank">浙江省</a> <a href="/tags/1091/" title="台州" class="c1" target="_blank">台州</a> <a href="/tags/1185/" title="浙江" class="c1" target="_blank">浙江</a>

Shape19

21.(10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/1091/" title="台州" class="c1" target="_blank">台州</a> <a href="/tags/1185/" title="浙江" class="c1" target="_blank">浙江</a>  <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1007/" title="浙江省" class="c1" target="_blank">浙江省</a> <a href="/tags/1091/" title="台州" class="c1" target="_blank">台州</a> <a href="/tags/1185/" title="浙江" class="c1" target="_blank">浙江</a>  <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1007/" title="浙江省" class="c1" target="_blank">浙江省</a> <a href="/tags/1091/" title="台州" class="c1" target="_blank">台州</a> <a href="/tags/1185/" title="浙江" class="c1" target="_blank">浙江</a>  <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1007/" title="浙江省" class="c1" target="_blank">浙江省</a> <a href="/tags/1091/" title="台州" class="c1" target="_blank">台州</a> <a href="/tags/1185/" title="浙江" class="c1" target="_blank">浙江</a> 相交于点 <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1007/" title="浙江省" class="c1" target="_blank">浙江省</a> <a href="/tags/1091/" title="台州" class="c1" target="_blank">台州</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/1091/" title="台州" class="c1" target="_blank">台州</a> <a href="/tags/1185/" title="浙江" class="c1" target="_blank">浙江</a>

2)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/1091/" title="台州" class="c1" target="_blank">台州</a> <a href="/tags/1185/" title="浙江" class="c1" target="_blank">浙江</a> 的形状,并说明理由.

Shape20

22.(12分)新冠疫情期间,某校开展线上教学,有“录播”和“直播”两种教学方式供学生选择其中一种.为分析该校学生线上学习情况,在接受这两种教学方式的学生中各随机抽取40人调查学习参与度,数据整理结果如表(数据分组包含左端值不包含右端值).

参与度

人数

方式

 <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/1091/" title="台州" class="c1" target="_blank">台州</a> <a href="/tags/1185/" title="浙江" class="c1" target="_blank">浙江</a>

 <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1007/" title="浙江省" class="c1" target="_blank">浙江省</a> <a href="/tags/1091/" title="台州" class="c1" target="_blank">台州</a> <a href="/tags/1185/" title="浙江" class="c1" target="_blank">浙江</a>

 <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1007/" title="浙江省" class="c1" target="_blank">浙江省</a> <a href="/tags/1091/" title="台州" class="c1" target="_blank">台州</a> <a href="/tags/1185/" title="浙江" class="c1" target="_blank">浙江</a>

 <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1007/" title="浙江省" class="c1" target="_blank">浙江省</a> <a href="/tags/1091/" title="台州" class="c1" target="_blank">台州</a> <a href="/tags/1185/" title="浙江" class="c1" target="_blank">浙江</a>

录播

4

16

12

8

直播

2

10

16

12

1)你认为哪种教学方式学生的参与度更高?简要说明理由.

2)从教学方式为“直播”的学生中任意抽取一位学生,估计该学生的参与度在0.8及以上的概率是多少?

3)该校共有800名学生,选择“录播”和“直播”的人数之比为 <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/1091/" title="台州" class="c1" target="_blank">台州</a> <a href="/tags/1185/" title="浙江" class="c1" target="_blank">浙江</a> ,估计参与度在0.4以下的共有多少人?

23.(12分)如图,在 <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1007/" title="浙江省" class="c1" target="_blank">浙江省</a> <a href="/tags/1091/" title="台州" class="c1" target="_blank">台州</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/1091/" title="台州" class="c1" target="_blank">台州</a> <a href="/tags/1185/" title="浙江" class="c1" target="_blank">浙江</a> ,将 <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1007/" title="浙江省" class="c1" target="_blank">浙江省</a> <a href="/tags/1091/" title="台州" class="c1" target="_blank">台州</a> <a href="/tags/1185/" title="浙江" class="c1" target="_blank">浙江</a> 沿直线 <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/1091/" title="台州" class="c1" target="_blank">台州</a> <a href="/tags/1185/" title="浙江" class="c1" target="_blank">浙江</a> 翻折得到 <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/1091/" title="台州" class="c1" target="_blank">台州</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/1091/" title="台州" class="c1" target="_blank">台州</a> <a href="/tags/1185/" title="浙江" class="c1" target="_blank">浙江</a>  <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1007/" title="浙江省" class="c1" target="_blank">浙江省</a> <a href="/tags/1091/" title="台州" class="c1" target="_blank">台州</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/1091/" title="台州" class="c1" target="_blank">台州</a> <a href="/tags/1185/" title="浙江" class="c1" target="_blank">浙江</a>  <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1007/" title="浙江省" class="c1" target="_blank">浙江省</a> <a href="/tags/1091/" title="台州" class="c1" target="_blank">台州</a> <a href="/tags/1185/" title="浙江" class="c1" target="_blank">浙江</a> 是线段 <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/1091/" title="台州" class="c1" target="_blank">台州</a> <a href="/tags/1185/" title="浙江" class="c1" target="_blank">浙江</a> 上的点,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/1091/" title="台州" class="c1" target="_blank">台州</a> <a href="/tags/1185/" title="浙江" class="c1" target="_blank">浙江</a>  <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1007/" title="浙江省" class="c1" target="_blank">浙江省</a> <a href="/tags/1091/" title="台州" class="c1" target="_blank">台州</a> <a href="/tags/1185/" title="浙江" class="c1" target="_blank">浙江</a>  <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1007/" title="浙江省" class="c1" target="_blank">浙江省</a> <a href="/tags/1091/" title="台州" class="c1" target="_blank">台州</a> <a href="/tags/1185/" title="浙江" class="c1" target="_blank">浙江</a> 的外接圆与 <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/1091/" title="台州" class="c1" target="_blank">台州</a> <a href="/tags/1185/" title="浙江" class="c1" target="_blank">浙江</a> 的另一个交点,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/1091/" title="台州" class="c1" target="_blank">台州</a> <a href="/tags/1185/" title="浙江" class="c1" target="_blank">浙江</a>  <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1007/" title="浙江省" class="c1" target="_blank">浙江省</a> <a href="/tags/1091/" title="台州" class="c1" target="_blank">台州</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/1091/" title="台州" class="c1" target="_blank">台州</a> <a href="/tags/1185/" title="浙江" class="c1" target="_blank">浙江</a> 是直角三角形;

2)求证: <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1007/" title="浙江省" class="c1" target="_blank">浙江省</a> <a href="/tags/1091/" title="台州" class="c1" target="_blank">台州</a> <a href="/tags/1185/" title="浙江" class="c1" target="_blank">浙江</a>

3)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/1091/" title="台州" class="c1" target="_blank">台州</a> <a href="/tags/1185/" title="浙江" class="c1" target="_blank">浙江</a>  <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1007/" title="浙江省" class="c1" target="_blank">浙江省</a> <a href="/tags/1091/" title="台州" class="c1" target="_blank">台州</a> <a href="/tags/1185/" title="浙江" class="c1" target="_blank">浙江</a> 时,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/1091/" title="台州" class="c1" target="_blank">台州</a> <a href="/tags/1185/" title="浙江" class="c1" target="_blank">浙江</a> 上存在点 <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1007/" title="浙江省" class="c1" target="_blank">浙江省</a> <a href="/tags/1091/" title="台州" class="c1" target="_blank">台州</a> <a href="/tags/1185/" title="浙江" class="c1" target="_blank">浙江</a> ,使得 <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/1091/" title="台州" class="c1" target="_blank">台州</a> <a href="/tags/1185/" title="浙江" class="c1" target="_blank">浙江</a>  <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1007/" title="浙江省" class="c1" target="_blank">浙江省</a> <a href="/tags/1091/" title="台州" class="c1" target="_blank">台州</a> <a href="/tags/1185/" title="浙江" class="c1" target="_blank">浙江</a> 互相平分,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/1091/" title="台州" class="c1" target="_blank">台州</a> <a href="/tags/1185/" title="浙江" class="c1" target="_blank">浙江</a> 的值.

Shape21

24.(14分)用各种盛水容器可以制作精致的家用流水景观(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/1091/" title="台州" class="c1" target="_blank">台州</a> <a href="/tags/1185/" title="浙江" class="c1" target="_blank">浙江</a>

科学原理:如图2,始终盛满水的圆体水桶水面离地面的高度为 <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/1091/" title="台州" class="c1" target="_blank">台州</a> <a href="/tags/1185/" title="浙江" class="c1" target="_blank">浙江</a> (单位: <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/1091/" title="台州" class="c1" target="_blank">台州</a> <a href="/tags/1185/" title="浙江" class="c1" target="_blank">浙江</a> ,如果在离水面竖直距离为 <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1007/" title="浙江省" class="c1" target="_blank">浙江省</a> <a href="/tags/1091/" title="台州" class="c1" target="_blank">台州</a> <a href="/tags/1185/" title="浙江" class="c1" target="_blank">浙江</a> (单位: <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/1091/" title="台州" class="c1" target="_blank">台州</a> <a href="/tags/1185/" title="浙江" class="c1" target="_blank">浙江</a> 的地方开大小合适的小孔,那么从小孔射出水的射程(水流落地点离小孔的水平距离) <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1007/" title="浙江省" class="c1" target="_blank">浙江省</a> <a href="/tags/1091/" title="台州" class="c1" target="_blank">台州</a> <a href="/tags/1185/" title="浙江" class="c1" target="_blank">浙江</a> (单位: <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/1091/" title="台州" class="c1" target="_blank">台州</a> <a href="/tags/1185/" title="浙江" class="c1" target="_blank">浙江</a>  <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1007/" title="浙江省" class="c1" target="_blank">浙江省</a> <a href="/tags/1091/" title="台州" class="c1" target="_blank">台州</a> <a href="/tags/1185/" title="浙江" class="c1" target="_blank">浙江</a> 的关系为 <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/1091/" title="台州" class="c1" target="_blank">台州</a> <a href="/tags/1185/" title="浙江" class="c1" target="_blank">浙江</a>

Shape22

应用思考:现用高度为 <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/1091/" title="台州" class="c1" target="_blank">台州</a> <a href="/tags/1185/" title="浙江" class="c1" target="_blank">浙江</a> 的圆柱体望料水瓶做相关研究,水瓶直立地面,通过连注水保证它始终盛满水,在离水面竖直距高 <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/1091/" title="台州" class="c1" target="_blank">台州</a> <a href="/tags/1185/" title="浙江" class="c1" target="_blank">浙江</a> 处开一个小孔.

1)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/1091/" title="台州" class="c1" target="_blank">台州</a> <a href="/tags/1185/" title="浙江" class="c1" target="_blank">浙江</a>  <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1007/" title="浙江省" class="c1" target="_blank">浙江省</a> <a href="/tags/1091/" title="台州" class="c1" target="_blank">台州</a> <a href="/tags/1185/" title="浙江" class="c1" target="_blank">浙江</a> 的关系式;并求出当 <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1007/" title="浙江省" class="c1" target="_blank">浙江省</a> <a href="/tags/1091/" title="台州" class="c1" target="_blank">台州</a> <a href="/tags/1185/" title="浙江" class="c1" target="_blank">浙江</a> 为何值时,射程 <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/1091/" title="台州" class="c1" target="_blank">台州</a> <a href="/tags/1185/" title="浙江" class="c1" target="_blank">浙江</a> 有最大值,最大射程是多少?

2)在侧面开两个小孔,这两个小孔离水面的竖直距离分别为 <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1007/" title="浙江省" class="c1" target="_blank">浙江省</a> <a href="/tags/1091/" title="台州" class="c1" target="_blank">台州</a> <a href="/tags/1185/" title="浙江" class="c1" target="_blank">浙江</a>  <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1007/" title="浙江省" class="c1" target="_blank">浙江省</a> <a href="/tags/1091/" title="台州" class="c1" target="_blank">台州</a> <a href="/tags/1185/" title="浙江" class="c1" target="_blank">浙江</a> ,要使两孔射出水的射程相同,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/1091/" title="台州" class="c1" target="_blank">台州</a> <a href="/tags/1185/" title="浙江" class="c1" target="_blank">浙江</a>  <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1007/" title="浙江省" class="c1" target="_blank">浙江省</a> <a href="/tags/1091/" title="台州" class="c1" target="_blank">台州</a> <a href="/tags/1185/" title="浙江" class="c1" target="_blank">浙江</a> 之间的关系式;

3)如果想通过垫高塑料水瓶,使射出水的最大射程增加 <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1007/" title="浙江省" class="c1" target="_blank">浙江省</a> <a href="/tags/1091/" title="台州" class="c1" target="_blank">台州</a> <a href="/tags/1185/" title="浙江" class="c1" target="_blank">浙江</a> ,求整高的高度及小孔离水面的竖直距离.


2020年浙江省台州市中考数学试卷

参考答案与试题解析

一、选择题(本题有10小题,每小题4分,共40分.请选出各题中一个符合题意的正确选项,不选、多选、错选,均不给分)

1.(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/1091/" title="台州" class="c1" target="_blank">台州</a> <a href="/tags/1185/" title="浙江" class="c1" target="_blank">浙江</a> 的结果是 <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1007/" title="浙江省" class="c1" target="_blank">浙江省</a> <a href="/tags/1091/" title="台州" class="c1" target="_blank">台州</a> <a href="/tags/1185/" title="浙江" class="c1" target="_blank">浙江</a>    <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1007/" title="浙江省" class="c1" target="_blank">浙江省</a> <a href="/tags/1091/" title="台州" class="c1" target="_blank">台州</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/1091/" title="台州" class="c1" target="_blank">台州</a> <a href="/tags/1185/" title="浙江" class="c1" target="_blank">浙江</a> C4 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/1091/" title="台州" class="c1" target="_blank">台州</a> <a href="/tags/1185/" title="浙江" class="c1" target="_blank">浙江</a>

【分析】根据有理数的加减法法则计算即可判断.

【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/1091/" title="台州" class="c1" target="_blank">台州</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/1091/" title="台州" class="c1" target="_blank">台州</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法则,减去一个数,等于加上这个数的相反数.

2.(4分)用三个相同的正方体搭成如图所示的立体图形,则该立体图形的主视图是 <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/1091/" title="台州" class="c1" target="_blank">台州</a> <a href="/tags/1185/" title="浙江" class="c1" target="_blank">浙江</a>    <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1007/" title="浙江省" class="c1" target="_blank">浙江省</a> <a href="/tags/1091/" title="台州" class="c1" target="_blank">台州</a> <a href="/tags/1185/" title="浙江" class="c1" target="_blank">浙江</a>

Shape23

AShape24 BShape25 CShape26 DShape27

【分析】从正面看所得到的图形即为主视图,因此选项 <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/1091/" title="台州" class="c1" target="_blank">台州</a> <a href="/tags/1185/" title="浙江" class="c1" target="_blank">浙江</a> 的图形符合题意.

【解答】解:根据主视图的意义可知,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/1091/" title="台州" class="c1" target="_blank">台州</a> <a href="/tags/1185/" title="浙江" class="c1" target="_blank">浙江</a> 符合题意,

故选: <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1007/" title="浙江省" class="c1" target="_blank">浙江省</a> <a href="/tags/1091/" title="台州" class="c1" target="_blank">台州</a> <a href="/tags/1185/" title="浙江" class="c1" target="_blank">浙江</a>

【点评】考查简单几何体的三视图的画法,从不同方向对问题进行正投影所得到的图形分别为主视图、左视图、俯视图.

3.(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/1091/" title="台州" class="c1" target="_blank">台州</a> <a href="/tags/1185/" title="浙江" class="c1" target="_blank">浙江</a> 的结果是 <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1007/" title="浙江省" class="c1" target="_blank">浙江省</a> <a href="/tags/1091/" title="台州" class="c1" target="_blank">台州</a> <a href="/tags/1185/" title="浙江" class="c1" target="_blank">浙江</a>    <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1007/" title="浙江省" class="c1" target="_blank">浙江省</a> <a href="/tags/1091/" title="台州" class="c1" target="_blank">台州</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/1091/" title="台州" class="c1" target="_blank">台州</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/1091/" title="台州" class="c1" target="_blank">台州</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/1091/" title="台州" class="c1" target="_blank">台州</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/1091/" title="台州" class="c1" target="_blank">台州</a> <a href="/tags/1185/" title="浙江" class="c1" target="_blank">浙江</a>

【分析】直接利用单项式乘单项式运算法则计算得出答案.

【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/1091/" title="台州" class="c1" target="_blank">台州</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/1091/" title="台州" class="c1" target="_blank">台州</a> <a href="/tags/1185/" title="浙江" class="c1" target="_blank">浙江</a>

【点评】此题主要考查了单项式乘单项式,正确掌握相关运算法则是解题关键.

4.(4分)无理数 <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/1091/" title="台州" class="c1" target="_blank">台州</a> <a href="/tags/1185/" title="浙江" class="c1" target="_blank">浙江</a>  <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1007/" title="浙江省" class="c1" target="_blank">浙江省</a> <a href="/tags/1091/" title="台州" class="c1" target="_blank">台州</a> <a href="/tags/1185/" title="浙江" class="c1" target="_blank">浙江</a>    <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1007/" title="浙江省" class="c1" target="_blank">浙江省</a> <a href="/tags/1091/" title="台州" class="c1" target="_blank">台州</a> <a href="/tags/1185/" title="浙江" class="c1" target="_blank">浙江</a>

A23之间 B34之间 C45之间 D56之间

【分析】 <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1007/" title="浙江省" class="c1" target="_blank">浙江省</a> <a href="/tags/1091/" title="台州" class="c1" target="_blank">台州</a> <a href="/tags/1185/" title="浙江" class="c1" target="_blank">浙江</a> 可以得到答案.

【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/1091/" title="台州" class="c1" target="_blank">台州</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/1091/" title="台州" class="c1" target="_blank">台州</a> <a href="/tags/1185/" title="浙江" class="c1" target="_blank">浙江</a>

【点评】此题考查了估算无理数的大小,熟练掌握估算无理数的方法是解本题的关键.

5.(4分)在一次数学测试中,小明成绩72分,超过班级半数同学的成绩,分折得出这个结论所用的统计量是 <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/1091/" title="台州" class="c1" target="_blank">台州</a> <a href="/tags/1185/" title="浙江" class="c1" target="_blank">浙江</a>    <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1007/" title="浙江省" class="c1" target="_blank">浙江省</a> <a href="/tags/1091/" title="台州" class="c1" target="_blank">台州</a> <a href="/tags/1185/" title="浙江" class="c1" target="_blank">浙江</a>

A.中位数 B.众数 C.平均数 D.方差

【分析】根据中位数的意义求解可得.

【解答】解:班级数学成绩排列后,最中间一个数或最中间两个分数的平均数是这组成绩的中位数,

半数同学的成绩位于中位数或中位数以下,

小明成绩超过班级半数同学的成绩所用的统计量是中位数,

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/1091/" title="台州" class="c1" target="_blank">台州</a> <a href="/tags/1185/" title="浙江" class="c1" target="_blank">浙江</a>

【点评】本题主要考查统计量的选择,解题的关键是掌握中位数、众数、平均数及方差的定义和意义.

6.(4分)如图,把 <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1007/" title="浙江省" class="c1" target="_blank">浙江省</a> <a href="/tags/1091/" title="台州" class="c1" target="_blank">台州</a> <a href="/tags/1185/" title="浙江" class="c1" target="_blank">浙江</a> 先向右平移3个单位,再向上平移2个单位得到 <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/1091/" title="台州" class="c1" target="_blank">台州</a> <a href="/tags/1185/" title="浙江" class="c1" target="_blank">浙江</a> ,则顶点 <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/1091/" title="台州" class="c1" target="_blank">台州</a> <a href="/tags/1185/" title="浙江" class="c1" target="_blank">浙江</a> 对应点的坐标为 <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/1091/" title="台州" class="c1" target="_blank">台州</a> <a href="/tags/1185/" title="浙江" class="c1" target="_blank">浙江</a>    <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1007/" title="浙江省" class="c1" target="_blank">浙江省</a> <a href="/tags/1091/" title="台州" class="c1" target="_blank">台州</a> <a href="/tags/1185/" title="浙江" class="c1" target="_blank">浙江</a>

Shape28

A <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1007/" title="浙江省" class="c1" target="_blank">浙江省</a> <a href="/tags/1091/" title="台州" class="c1" target="_blank">台州</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/1091/" title="台州" class="c1" target="_blank">台州</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/1091/" title="台州" class="c1" target="_blank">台州</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/1091/" title="台州" class="c1" target="_blank">台州</a> <a href="/tags/1185/" title="浙江" class="c1" target="_blank">浙江</a>

【分析】利用平移规律进而得出答案.

【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/1091/" title="台州" class="c1" target="_blank">台州</a> <a href="/tags/1185/" title="浙江" class="c1" target="_blank">浙江</a>  <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1007/" title="浙江省" class="c1" target="_blank">浙江省</a> <a href="/tags/1091/" title="台州" class="c1" target="_blank">台州</a> <a href="/tags/1185/" title="浙江" class="c1" target="_blank">浙江</a> 先向右平移3个单位,再向上平移2个单位得到 <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/1091/" title="台州" class="c1" target="_blank">台州</a> <a href="/tags/1185/" title="浙江" class="c1" target="_blank">浙江</a> ,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/1091/" title="台州" class="c1" target="_blank">台州</a> <a href="/tags/1185/" title="浙江" class="c1" target="_blank">浙江</a>

 <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1007/" title="浙江省" class="c1" target="_blank">浙江省</a> <a href="/tags/1091/" title="台州" class="c1" target="_blank">台州</a> <a href="/tags/1185/" title="浙江" class="c1" target="_blank">浙江</a>

 <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1007/" title="浙江省" class="c1" target="_blank">浙江省</a> <a href="/tags/1091/" title="台州" class="c1" target="_blank">台州</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/1091/" title="台州" class="c1" target="_blank">台州</a> <a href="/tags/1185/" title="浙江" class="c1" target="_blank">浙江</a>

【点评】此题主要考查了坐标与图形变化 <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1007/" title="浙江省" class="c1" target="_blank">浙江省</a> <a href="/tags/1091/" title="台州" class="c1" target="_blank">台州</a> <a href="/tags/1185/" title="浙江" class="c1" target="_blank">浙江</a> 平移,正确得出对应点位置是解题关键.

7.(4分)如图,已知线段 <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/1091/" title="台州" class="c1" target="_blank">台州</a> <a href="/tags/1185/" title="浙江" class="c1" target="_blank">浙江</a> ,分别以 <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/1091/" title="台州" class="c1" target="_blank">台州</a> <a href="/tags/1185/" title="浙江" class="c1" target="_blank">浙江</a>  <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1007/" title="浙江省" class="c1" target="_blank">浙江省</a> <a href="/tags/1091/" title="台州" class="c1" target="_blank">台州</a> <a href="/tags/1185/" title="浙江" class="c1" target="_blank">浙江</a> 为圆心,大于 <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/1091/" title="台州" class="c1" target="_blank">台州</a> <a href="/tags/1185/" title="浙江" class="c1" target="_blank">浙江</a> 同样长为半径画弧,两弧交于点 <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1007/" title="浙江省" class="c1" target="_blank">浙江省</a> <a href="/tags/1091/" title="台州" class="c1" target="_blank">台州</a> <a href="/tags/1185/" title="浙江" class="c1" target="_blank">浙江</a>  <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1007/" title="浙江省" class="c1" target="_blank">浙江省</a> <a href="/tags/1091/" title="台州" class="c1" target="_blank">台州</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/1091/" title="台州" class="c1" target="_blank">台州</a> <a href="/tags/1185/" title="浙江" class="c1" target="_blank">浙江</a>  <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1007/" title="浙江省" class="c1" target="_blank">浙江省</a> <a href="/tags/1091/" title="台州" class="c1" target="_blank">台州</a> <a href="/tags/1185/" title="浙江" class="c1" target="_blank">浙江</a>  <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1007/" title="浙江省" class="c1" target="_blank">浙江省</a> <a href="/tags/1091/" title="台州" class="c1" target="_blank">台州</a> <a href="/tags/1185/" title="浙江" class="c1" target="_blank">浙江</a>  <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1007/" title="浙江省" class="c1" target="_blank">浙江省</a> <a href="/tags/1091/" title="台州" class="c1" target="_blank">台州</a> <a href="/tags/1185/" title="浙江" class="c1" target="_blank">浙江</a>  <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1007/" title="浙江省" class="c1" target="_blank">浙江省</a> <a href="/tags/1091/" title="台州" class="c1" target="_blank">台州</a> <a href="/tags/1185/" title="浙江" class="c1" target="_blank">浙江</a> ,则下列说法错误的是 <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/1091/" title="台州" class="c1" target="_blank">台州</a> <a href="/tags/1185/" title="浙江" class="c1" target="_blank">浙江</a>    <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1007/" title="浙江省" class="c1" target="_blank">浙江省</a> <a href="/tags/1091/" title="台州" class="c1" target="_blank">台州</a> <a href="/tags/1185/" title="浙江" class="c1" target="_blank">浙江</a>

Shape29

A <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1007/" title="浙江省" class="c1" target="_blank">浙江省</a> <a href="/tags/1091/" title="台州" class="c1" target="_blank">台州</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/1091/" title="台州" class="c1" target="_blank">台州</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/1091/" title="台州" class="c1" target="_blank">台州</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/1091/" title="台州" class="c1" target="_blank">台州</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/1091/" title="台州" class="c1" target="_blank">台州</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/1091/" title="台州" class="c1" target="_blank">台州</a> <a href="/tags/1185/" title="浙江" class="c1" target="_blank">浙江</a>

【分析】根据作图判断出四边形 <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/1091/" title="台州" class="c1" target="_blank">台州</a> <a href="/tags/1185/" title="浙江" class="c1" target="_blank">浙江</a> 是菱形,再根据菱形的性质:菱形的对角线平分一组对角、菱形的对角线互相垂直平分可得出答案.

【解答】解:由作图知 <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/1091/" title="台州" class="c1" target="_blank">台州</a> <a href="/tags/1185/" title="浙江" class="c1" target="_blank">浙江</a>

 <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1007/" title="浙江省" class="c1" target="_blank">浙江省</a> <a href="/tags/1091/" title="台州" class="c1" target="_blank">台州</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/1091/" title="台州" class="c1" target="_blank">台州</a> <a href="/tags/1185/" title="浙江" class="c1" target="_blank">浙江</a> 是菱形,

 <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/1091/" title="台州" class="c1" target="_blank">台州</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/1091/" title="台州" class="c1" target="_blank">台州</a> <a href="/tags/1185/" title="浙江" class="c1" target="_blank">浙江</a>  <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1007/" title="浙江省" class="c1" target="_blank">浙江省</a> <a href="/tags/1091/" title="台州" class="c1" target="_blank">台州</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/1091/" title="台州" class="c1" target="_blank">台州</a> <a href="/tags/1185/" title="浙江" class="c1" target="_blank">浙江</a>  <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1007/" title="浙江省" class="c1" target="_blank">浙江省</a> <a href="/tags/1091/" title="台州" class="c1" target="_blank">台州</a> <a href="/tags/1185/" title="浙江" class="c1" target="_blank">浙江</a>

不能判断 <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/1091/" title="台州" class="c1" target="_blank">台州</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/1091/" title="台州" class="c1" target="_blank">台州</a> <a href="/tags/1185/" title="浙江" class="c1" target="_blank">浙江</a>

【点评】本题主要考查作图 <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1007/" title="浙江省" class="c1" target="_blank">浙江省</a> <a href="/tags/1091/" title="台州" class="c1" target="_blank">台州</a> <a href="/tags/1185/" title="浙江" class="c1" target="_blank">浙江</a> 基本作图,解题的关键是掌握菱形的判定与性质.

8.(4分)下列是关于某个四边形的三个结论:它的对角线相等;它是一个正方形;它是一个矩形.下列推理过程正确的是 <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/1091/" title="台州" class="c1" target="_blank">台州</a> <a href="/tags/1185/" title="浙江" class="c1" target="_blank">浙江</a>    <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1007/" title="浙江省" class="c1" target="_blank">浙江省</a> <a href="/tags/1091/" title="台州" class="c1" target="_blank">台州</a> <a href="/tags/1185/" title="浙江" class="c1" target="_blank">浙江</a>

A.由推出,由推出 B.由推出,由推出

C.由推出,由推出 D.由推出,由推出

【分析】根据对角线相等的四边形推不出是正方形或矩形即可判断.

【解答】解:对角线相等的四边形推不出是正方形或矩形,

 <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1007/" title="浙江省" class="c1" target="_blank">浙江省</a> <a href="/tags/1091/" title="台州" class="c1" target="_blank">台州</a> <a href="/tags/1185/" title="浙江" class="c1" target="_blank">浙江</a> <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1007/" title="浙江省" class="c1" target="_blank">浙江省</a> <a href="/tags/1091/" title="台州" class="c1" target="_blank">台州</a> <a href="/tags/1185/" title="浙江" class="c1" target="_blank">浙江</a>错误,

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/1091/" title="台州" class="c1" target="_blank">台州</a> <a href="/tags/1185/" title="浙江" class="c1" target="_blank">浙江</a>  <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1007/" title="浙江省" class="c1" target="_blank">浙江省</a> <a href="/tags/1091/" title="台州" class="c1" target="_blank">台州</a> <a href="/tags/1185/" title="浙江" class="c1" target="_blank">浙江</a>  <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1007/" title="浙江省" class="c1" target="_blank">浙江省</a> <a href="/tags/1091/" title="台州" class="c1" target="_blank">台州</a> <a href="/tags/1185/" title="浙江" class="c1" target="_blank">浙江</a> 错误,

故选: <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1007/" title="浙江省" class="c1" target="_blank">浙江省</a> <a href="/tags/1091/" title="台州" class="c1" target="_blank">台州</a> <a href="/tags/1185/" title="浙江" class="c1" target="_blank">浙江</a>

【点评】本题考查正方形的判定和性质,矩形的判定等知识,解题的关键是灵活运用所学知识解决问题,属于中考常考题型.

9.(4分)如图1,小球从左侧的斜坡滚下,到达底端后又沿着右侧斜坡向上滚,在这个过程中,小球的运动速度 <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1007/" title="浙江省" class="c1" target="_blank">浙江省</a> <a href="/tags/1091/" title="台州" class="c1" target="_blank">台州</a> <a href="/tags/1185/" title="浙江" class="c1" target="_blank">浙江</a> (单位: <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/1091/" title="台州" class="c1" target="_blank">台州</a> <a href="/tags/1185/" title="浙江" class="c1" target="_blank">浙江</a> 与运动时间 <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1007/" title="浙江省" class="c1" target="_blank">浙江省</a> <a href="/tags/1091/" title="台州" class="c1" target="_blank">台州</a> <a href="/tags/1185/" title="浙江" class="c1" target="_blank">浙江</a> (单位: <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/1091/" title="台州" class="c1" target="_blank">台州</a> <a href="/tags/1185/" title="浙江" class="c1" target="_blank">浙江</a> 的函数图象如图2,则该小球的运动路程 <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1007/" title="浙江省" class="c1" target="_blank">浙江省</a> <a href="/tags/1091/" title="台州" class="c1" target="_blank">台州</a> <a href="/tags/1185/" title="浙江" class="c1" target="_blank">浙江</a> (单位: <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/1091/" title="台州" class="c1" target="_blank">台州</a> <a href="/tags/1185/" title="浙江" class="c1" target="_blank">浙江</a> 与运动时间 <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1007/" title="浙江省" class="c1" target="_blank">浙江省</a> <a href="/tags/1091/" title="台州" class="c1" target="_blank">台州</a> <a href="/tags/1185/" title="浙江" class="c1" target="_blank">浙江</a> (单位: <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/1091/" title="台州" class="c1" target="_blank">台州</a> <a href="/tags/1185/" title="浙江" class="c1" target="_blank">浙江</a> 之间的函数图象大致是 <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/1091/" title="台州" class="c1" target="_blank">台州</a> <a href="/tags/1185/" title="浙江" class="c1" target="_blank">浙江</a>    <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1007/" title="浙江省" class="c1" target="_blank">浙江省</a> <a href="/tags/1091/" title="台州" class="c1" target="_blank">台州</a> <a href="/tags/1185/" title="浙江" class="c1" target="_blank">浙江</a>

Shape30

AShape31 BShape32

CShape33 DShape34

【分析】小球从左侧的斜坡滚下是匀变速运动,运动的路程 <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1007/" title="浙江省" class="c1" target="_blank">浙江省</a> <a href="/tags/1091/" title="台州" class="c1" target="_blank">台州</a> <a href="/tags/1185/" title="浙江" class="c1" target="_blank">浙江</a>  <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1007/" title="浙江省" class="c1" target="_blank">浙江省</a> <a href="/tags/1091/" title="台州" class="c1" target="_blank">台州</a> <a href="/tags/1185/" title="浙江" class="c1" target="_blank">浙江</a> 的二次函数,图象是先缓后陡,由此即可判断.

【解答】解:小球从左侧的斜坡滚下是匀变速运动,运动的路程 <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1007/" title="浙江省" class="c1" target="_blank">浙江省</a> <a href="/tags/1091/" title="台州" class="c1" target="_blank">台州</a> <a href="/tags/1185/" title="浙江" class="c1" target="_blank">浙江</a>  <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1007/" title="浙江省" class="c1" target="_blank">浙江省</a> <a href="/tags/1091/" title="台州" class="c1" target="_blank">台州</a> <a href="/tags/1185/" title="浙江" class="c1" target="_blank">浙江</a> 的二次函数,图象是先缓后陡,

在右侧上升时,情形与左侧相反,

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/1091/" title="台州" class="c1" target="_blank">台州</a> <a href="/tags/1185/" title="浙江" class="c1" target="_blank">浙江</a>

【点评】本题考查动点问题函数图象,解题的关键是理解题意,灵活运用所学知识解决问题.

10.(4分)把一张宽为 <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1007/" title="浙江省" class="c1" target="_blank">浙江省</a> <a href="/tags/1091/" title="台州" class="c1" target="_blank">台州</a> <a href="/tags/1185/" title="浙江" class="c1" target="_blank">浙江</a> 的长方形纸片 <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1007/" title="浙江省" class="c1" target="_blank">浙江省</a> <a href="/tags/1091/" title="台州" class="c1" target="_blank">台州</a> <a href="/tags/1185/" title="浙江" class="c1" target="_blank">浙江</a> 折叠成如图所示的阴影图案,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/1091/" title="台州" class="c1" target="_blank">台州</a> <a href="/tags/1185/" title="浙江" class="c1" target="_blank">浙江</a>  <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1007/" title="浙江省" class="c1" target="_blank">浙江省</a> <a href="/tags/1091/" title="台州" class="c1" target="_blank">台州</a> <a href="/tags/1185/" title="浙江" class="c1" target="_blank">浙江</a> 互相重合,中间空白部分是以 <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/1091/" title="台州" class="c1" target="_blank">台州</a> <a href="/tags/1185/" title="浙江" class="c1" target="_blank">浙江</a> 为直角顶点,腰长为 <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/1091/" title="台州" class="c1" target="_blank">台州</a> <a href="/tags/1185/" title="浙江" class="c1" target="_blank">浙江</a> 的等腰直角三角形,则纸片的长 <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/1091/" title="台州" class="c1" target="_blank">台州</a> <a href="/tags/1185/" title="浙江" class="c1" target="_blank">浙江</a> (单位: <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/1091/" title="台州" class="c1" target="_blank">台州</a> <a href="/tags/1185/" title="浙江" class="c1" target="_blank">浙江</a>  <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1007/" title="浙江省" class="c1" target="_blank">浙江省</a> <a href="/tags/1091/" title="台州" class="c1" target="_blank">台州</a> <a href="/tags/1185/" title="浙江" class="c1" target="_blank">浙江</a>    <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1007/" title="浙江省" class="c1" target="_blank">浙江省</a> <a href="/tags/1091/" title="台州" class="c1" target="_blank">台州</a> <a href="/tags/1185/" title="浙江" class="c1" target="_blank">浙江</a>

Shape35

A <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1007/" title="浙江省" class="c1" target="_blank">浙江省</a> <a href="/tags/1091/" title="台州" class="c1" target="_blank">台州</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/1091/" title="台州" class="c1" target="_blank">台州</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/1091/" title="台州" class="c1" target="_blank">台州</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/1091/" title="台州" class="c1" target="_blank">台州</a> <a href="/tags/1185/" title="浙江" class="c1" target="_blank">浙江</a>

【分析】如图,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/1091/" title="台州" class="c1" target="_blank">台州</a> <a href="/tags/1185/" title="浙江" class="c1" target="_blank">浙江</a>  <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1007/" title="浙江省" class="c1" target="_blank">浙江省</a> <a href="/tags/1091/" title="台州" class="c1" target="_blank">台州</a> <a href="/tags/1185/" title="浙江" class="c1" target="_blank">浙江</a>  <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1007/" title="浙江省" class="c1" target="_blank">浙江省</a> <a href="/tags/1091/" title="台州" class="c1" target="_blank">台州</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/1091/" title="台州" class="c1" target="_blank">台州</a> <a href="/tags/1185/" title="浙江" class="c1" target="_blank">浙江</a>  <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1007/" title="浙江省" class="c1" target="_blank">浙江省</a> <a href="/tags/1091/" title="台州" class="c1" target="_blank">台州</a> <a href="/tags/1185/" title="浙江" class="c1" target="_blank">浙江</a>  <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1007/" title="浙江省" class="c1" target="_blank">浙江省</a> <a href="/tags/1091/" title="台州" class="c1" target="_blank">台州</a> <a href="/tags/1185/" title="浙江" class="c1" target="_blank">浙江</a> .想办法求出 <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/1091/" title="台州" class="c1" target="_blank">台州</a> <a href="/tags/1185/" title="浙江" class="c1" target="_blank">浙江</a>  <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1007/" title="浙江省" class="c1" target="_blank">浙江省</a> <a href="/tags/1091/" title="台州" class="c1" target="_blank">台州</a> <a href="/tags/1185/" title="浙江" class="c1" target="_blank">浙江</a>  <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1007/" title="浙江省" class="c1" target="_blank">浙江省</a> <a href="/tags/1091/" title="台州" class="c1" target="_blank">台州</a> <a href="/tags/1185/" title="浙江" class="c1" target="_blank">浙江</a>  <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1007/" title="浙江省" class="c1" target="_blank">浙江省</a> <a href="/tags/1091/" title="台州" class="c1" target="_blank">台州</a> <a href="/tags/1185/" title="浙江" class="c1" target="_blank">浙江</a>  <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1007/" title="浙江省" class="c1" target="_blank">浙江省</a> <a href="/tags/1091/" title="台州" class="c1" target="_blank">台州</a> <a href="/tags/1185/" title="浙江" class="c1" target="_blank">浙江</a> 即可解决问题.

【解答】解:如图,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/1091/" title="台州" class="c1" target="_blank">台州</a> <a href="/tags/1185/" title="浙江" class="c1" target="_blank">浙江</a>  <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1007/" title="浙江省" class="c1" target="_blank">浙江省</a> <a href="/tags/1091/" title="台州" class="c1" target="_blank">台州</a> <a href="/tags/1185/" title="浙江" class="c1" target="_blank">浙江</a>  <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1007/" title="浙江省" class="c1" target="_blank">浙江省</a> <a href="/tags/1091/" title="台州" class="c1" target="_blank">台州</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/1091/" title="台州" class="c1" target="_blank">台州</a> <a href="/tags/1185/" title="浙江" class="c1" target="_blank">浙江</a>  <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1007/" title="浙江省" class="c1" target="_blank">浙江省</a> <a href="/tags/1091/" title="台州" class="c1" target="_blank">台州</a> <a href="/tags/1185/" title="浙江" class="c1" target="_blank">浙江</a>  <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1007/" title="浙江省" class="c1" target="_blank">浙江省</a> <a href="/tags/1091/" title="台州" class="c1" target="_blank">台州</a> <a href="/tags/1185/" title="浙江" class="c1" target="_blank">浙江</a>

Shape36

由题意 <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1007/" title="浙江省" class="c1" target="_blank">浙江省</a> <a href="/tags/1091/" title="台州" class="c1" target="_blank">台州</a> <a href="/tags/1185/" title="浙江" class="c1" target="_blank">浙江</a> 是等腰直角三角形, <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1007/" title="浙江省" class="c1" target="_blank">浙江省</a> <a href="/tags/1091/" title="台州" class="c1" target="_blank">台州</a> <a href="/tags/1185/" title="浙江" class="c1" target="_blank">浙江</a>  <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1007/" title="浙江省" class="c1" target="_blank">浙江省</a> <a href="/tags/1091/" title="台州" class="c1" target="_blank">台州</a> <a href="/tags/1185/" title="浙江" class="c1" target="_blank">浙江</a>

 <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1007/" title="浙江省" class="c1" target="_blank">浙江省</a> <a href="/tags/1091/" title="台州" class="c1" target="_blank">台州</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/1091/" title="台州" class="c1" target="_blank">台州</a> <a href="/tags/1185/" title="浙江" class="c1" target="_blank">浙江</a> 是矩形,

 <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1007/" title="浙江省" class="c1" target="_blank">浙江省</a> <a href="/tags/1091/" title="台州" class="c1" target="_blank">台州</a> <a href="/tags/1185/" title="浙江" class="c1" target="_blank">浙江</a>  <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1007/" title="浙江省" class="c1" target="_blank">浙江省</a> <a href="/tags/1091/" title="台州" class="c1" target="_blank">台州</a> <a href="/tags/1185/" title="浙江" class="c1" target="_blank">浙江</a>

 <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1007/" title="浙江省" class="c1" target="_blank">浙江省</a> <a href="/tags/1091/" title="台州" class="c1" target="_blank">台州</a> <a href="/tags/1185/" title="浙江" class="c1" target="_blank">浙江</a> 是等腰直角三角形,

 <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1007/" title="浙江省" class="c1" target="_blank">浙江省</a> <a href="/tags/1091/" title="台州" class="c1" target="_blank">台州</a> <a href="/tags/1185/" title="浙江" class="c1" target="_blank">浙江</a>  <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1007/" title="浙江省" class="c1" target="_blank">浙江省</a> <a href="/tags/1091/" title="台州" class="c1" target="_blank">台州</a> <a href="/tags/1185/" title="浙江" class="c1" target="_blank">浙江</a> ,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/1091/" title="台州" class="c1" target="_blank">台州</a> <a href="/tags/1185/" title="浙江" class="c1" target="_blank">浙江</a>

由题意 <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1007/" title="浙江省" class="c1" target="_blank">浙江省</a> <a href="/tags/1091/" title="台州" class="c1" target="_blank">台州</a> <a href="/tags/1185/" title="浙江" class="c1" target="_blank">浙江</a>

 <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1007/" title="浙江省" class="c1" target="_blank">浙江省</a> <a href="/tags/1091/" title="台州" class="c1" target="_blank">台州</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/1091/" title="台州" class="c1" target="_blank">台州</a> <a href="/tags/1185/" title="浙江" class="c1" target="_blank">浙江</a>

【点评】本题考查翻折变换,等腰直角三角形的判定和性质,矩形的性质等知识,解题的关键是学会添加常用辅助线,构造特殊三角形或特殊四边形解决问题.

二、填空题(本题有6小题,每小题5分,共30分)

11.(5分)因式分解: <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1007/" title="浙江省" class="c1" target="_blank">浙江省</a> <a href="/tags/1091/" title="台州" class="c1" target="_blank">台州</a> <a href="/tags/1185/" title="浙江" class="c1" target="_blank">浙江</a>   <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1007/" title="浙江省" class="c1" target="_blank">浙江省</a> <a href="/tags/1091/" title="台州" class="c1" target="_blank">台州</a> <a href="/tags/1185/" title="浙江" class="c1" target="_blank">浙江</a>  

【分析】原式利用平方差公式分解即可.

【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/1091/" title="台州" class="c1" target="_blank">台州</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/1091/" title="台州" class="c1" target="_blank">台州</a> <a href="/tags/1185/" title="浙江" class="c1" target="_blank">浙江</a>

【点评】此题考查了因式分解 <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1007/" title="浙江省" class="c1" target="_blank">浙江省</a> <a href="/tags/1091/" title="台州" class="c1" target="_blank">台州</a> <a href="/tags/1185/" title="浙江" class="c1" target="_blank">浙江</a> 运用公式法,熟练掌握平方差公式是解本题的关键.

12.(5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/1091/" title="台州" class="c1" target="_blank">台州</a> <a href="/tags/1185/" title="浙江" class="c1" target="_blank">浙江</a> 的结果是  <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1007/" title="浙江省" class="c1" target="_blank">浙江省</a> <a href="/tags/1091/" title="台州" class="c1" target="_blank">台州</a> <a href="/tags/1185/" title="浙江" class="c1" target="_blank">浙江</a>  

【分析】先通分,再相减即可求解.

【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/1091/" title="台州" class="c1" target="_blank">台州</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/1091/" title="台州" class="c1" target="_blank">台州</a> <a href="/tags/1185/" title="浙江" class="c1" target="_blank">浙江</a>

【点评】考查了分式加减法,把分母不相同的几个分式化成分母相同的分式,叫做通分,经过通分,异分母分式的加减就转化为同分母分式的加减.

13.(5分)如图,等边三角形纸片 <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1007/" title="浙江省" class="c1" target="_blank">浙江省</a> <a href="/tags/1091/" title="台州" class="c1" target="_blank">台州</a> <a href="/tags/1185/" title="浙江" class="c1" target="_blank">浙江</a> 的边长为6 <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1007/" title="浙江省" class="c1" target="_blank">浙江省</a> <a href="/tags/1091/" title="台州" class="c1" target="_blank">台州</a> <a href="/tags/1185/" title="浙江" class="c1" target="_blank">浙江</a>  <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1007/" title="浙江省" class="c1" target="_blank">浙江省</a> <a href="/tags/1091/" title="台州" class="c1" target="_blank">台州</a> <a href="/tags/1185/" title="浙江" class="c1" target="_blank">浙江</a> 是边 <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1007/" title="浙江省" class="c1" target="_blank">浙江省</a> <a href="/tags/1091/" title="台州" class="c1" target="_blank">台州</a> <a href="/tags/1185/" title="浙江" class="c1" target="_blank">浙江</a> 上的三等分点.分别过点 <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/1091/" title="台州" class="c1" target="_blank">台州</a> <a href="/tags/1185/" title="浙江" class="c1" target="_blank">浙江</a>  <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1007/" title="浙江省" class="c1" target="_blank">浙江省</a> <a href="/tags/1091/" title="台州" class="c1" target="_blank">台州</a> <a href="/tags/1185/" title="浙江" class="c1" target="_blank">浙江</a> 沿着平行于 <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/1091/" title="台州" class="c1" target="_blank">台州</a> <a href="/tags/1185/" title="浙江" class="c1" target="_blank">浙江</a>  <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1007/" title="浙江省" class="c1" target="_blank">浙江省</a> <a href="/tags/1091/" title="台州" class="c1" target="_blank">台州</a> <a href="/tags/1185/" title="浙江" class="c1" target="_blank">浙江</a> 方向各剪一刀,则剪下的 <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/1091/" title="台州" class="c1" target="_blank">台州</a> <a href="/tags/1185/" title="浙江" class="c1" target="_blank">浙江</a> 的周长是 6 

Shape37

【分析】根据三等分点的定义可求 <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1007/" title="浙江省" class="c1" target="_blank">浙江省</a> <a href="/tags/1091/" title="台州" class="c1" target="_blank">台州</a> <a href="/tags/1185/" title="浙江" class="c1" target="_blank">浙江</a> 的长,再根据等边三角形的判定与性质即可求解.

【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/1091/" title="台州" class="c1" target="_blank">台州</a> <a href="/tags/1185/" title="浙江" class="c1" target="_blank">浙江</a> 等边三角形纸片 <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1007/" title="浙江省" class="c1" target="_blank">浙江省</a> <a href="/tags/1091/" title="台州" class="c1" target="_blank">台州</a> <a href="/tags/1185/" title="浙江" class="c1" target="_blank">浙江</a> 的边长为6 <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1007/" title="浙江省" class="c1" target="_blank">浙江省</a> <a href="/tags/1091/" title="台州" class="c1" target="_blank">台州</a> <a href="/tags/1185/" title="浙江" class="c1" target="_blank">浙江</a>  <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1007/" title="浙江省" class="c1" target="_blank">浙江省</a> <a href="/tags/1091/" title="台州" class="c1" target="_blank">台州</a> <a href="/tags/1185/" title="浙江" class="c1" target="_blank">浙江</a> 是边 <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1007/" title="浙江省" class="c1" target="_blank">浙江省</a> <a href="/tags/1091/" title="台州" class="c1" target="_blank">台州</a> <a href="/tags/1185/" title="浙江" class="c1" target="_blank">浙江</a> 上的三等分点,

 <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1007/" title="浙江省" class="c1" target="_blank">浙江省</a> <a href="/tags/1091/" title="台州" class="c1" target="_blank">台州</a> <a href="/tags/1185/" title="浙江" class="c1" target="_blank">浙江</a>

 <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1007/" title="浙江省" class="c1" target="_blank">浙江省</a> <a href="/tags/1091/" title="台州" class="c1" target="_blank">台州</a> <a href="/tags/1185/" title="浙江" class="c1" target="_blank">浙江</a>  <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1007/" title="浙江省" class="c1" target="_blank">浙江省</a> <a href="/tags/1091/" title="台州" class="c1" target="_blank">台州</a> <a href="/tags/1185/" title="浙江" class="c1" target="_blank">浙江</a>

 <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1007/" title="浙江省" class="c1" target="_blank">浙江省</a> <a href="/tags/1091/" title="台州" class="c1" target="_blank">台州</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/1091/" title="台州" class="c1" target="_blank">台州</a> <a href="/tags/1185/" title="浙江" class="c1" target="_blank">浙江</a> 剪下的 <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/1091/" title="台州" class="c1" target="_blank">台州</a> <a href="/tags/1185/" title="浙江" class="c1" target="_blank">浙江</a> 的周长是 <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/1091/" title="台州" class="c1" target="_blank">台州</a> <a href="/tags/1185/" title="浙江" class="c1" target="_blank">浙江</a>

故答案为:6

【点评】考查了等边三角形的性质,平行线的性质,关键是证明 <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/1091/" title="台州" class="c1" target="_blank">台州</a> <a href="/tags/1185/" title="浙江" class="c1" target="_blank">浙江</a> 是等边三角形.

14.(5分)甲、乙两位同学在10次定点投篮训练中(每次训练投8个),各次训练成绩(投中个数)的折线统计图如图所示,他们成绩的方差分别为 <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1007/" title="浙江省" class="c1" target="_blank">浙江省</a> <a href="/tags/1091/" title="台州" class="c1" target="_blank">台州</a> <a href="/tags/1185/" title="浙江" class="c1" target="_blank">浙江</a>  <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1007/" title="浙江省" class="c1" target="_blank">浙江省</a> <a href="/tags/1091/" title="台州" class="c1" target="_blank">台州</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/1091/" title="台州" class="c1" target="_blank">台州</a> <a href="/tags/1185/" title="浙江" class="c1" target="_blank">浙江</a>   <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1007/" title="浙江省" class="c1" target="_blank">浙江省</a> <a href="/tags/1091/" title="台州" class="c1" target="_blank">台州</a> <a href="/tags/1185/" title="浙江" class="c1" target="_blank">浙江</a>   <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1007/" title="浙江省" class="c1" target="_blank">浙江省</a> <a href="/tags/1091/" title="台州" class="c1" target="_blank">台州</a> <a href="/tags/1185/" title="浙江" class="c1" target="_blank">浙江</a> .(填“ <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1007/" title="浙江省" class="c1" target="_blank">浙江省</a> <a href="/tags/1091/" title="台州" class="c1" target="_blank">台州</a> <a href="/tags/1185/" title="浙江" class="c1" target="_blank">浙江</a> ”、“  <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1007/" title="浙江省" class="c1" target="_blank">浙江省</a> <a href="/tags/1091/" title="台州" class="c1" target="_blank">台州</a> <a href="/tags/1185/" title="浙江" class="c1" target="_blank">浙江</a> ”、“  <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1007/" title="浙江省" class="c1" target="_blank">浙江省</a> <a href="/tags/1091/" title="台州" class="c1" target="_blank">台州</a> <a href="/tags/1185/" title="浙江" class="c1" target="_blank">浙江</a> ”中的一个)

Shape38

【分析】利用折线统计图可判断乙同学的成绩波动较大,然后根据方差的意义可得到甲、乙的方差的大小.

【解答】解:由折线统计图得乙同学的成绩波动较大,

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/1091/" title="台州" class="c1" target="_blank">台州</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/1091/" title="台州" class="c1" target="_blank">台州</a> <a href="/tags/1185/" title="浙江" class="c1" target="_blank">浙江</a>

【点评】本题考查了条形统计图:条形统计图是用线段长度表示数据,根据数量的多少画成长短不同的矩形直条,然后按顺序把这些直条排列起来.也考查了方差的意义.

15.(5分)如图,在 <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1007/" title="浙江省" class="c1" target="_blank">浙江省</a> <a href="/tags/1091/" title="台州" class="c1" target="_blank">台州</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/1091/" title="台州" class="c1" target="_blank">台州</a> <a href="/tags/1185/" title="浙江" class="c1" target="_blank">浙江</a> 是边 <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1007/" title="浙江省" class="c1" target="_blank">浙江省</a> <a href="/tags/1091/" title="台州" class="c1" target="_blank">台州</a> <a href="/tags/1185/" title="浙江" class="c1" target="_blank">浙江</a> 上的一点,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/1091/" title="台州" class="c1" target="_blank">台州</a> <a href="/tags/1185/" title="浙江" class="c1" target="_blank">浙江</a> 为直径的 <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/1091/" title="台州" class="c1" target="_blank">台州</a> <a href="/tags/1185/" title="浙江" class="c1" target="_blank">浙江</a>  <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1007/" title="浙江省" class="c1" target="_blank">浙江省</a> <a href="/tags/1091/" title="台州" class="c1" target="_blank">台州</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/1091/" title="台州" class="c1" target="_blank">台州</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/1091/" title="台州" class="c1" target="_blank">台州</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/1091/" title="台州" class="c1" target="_blank">台州</a> <a href="/tags/1185/" title="浙江" class="c1" target="_blank">浙江</a>  <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1007/" title="浙江省" class="c1" target="_blank">浙江省</a> <a href="/tags/1091/" title="台州" class="c1" target="_blank">台州</a> <a href="/tags/1185/" title="浙江" class="c1" target="_blank">浙江</a> 相切, <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1007/" title="浙江省" class="c1" target="_blank">浙江省</a> <a href="/tags/1091/" title="台州" class="c1" target="_blank">台州</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/1091/" title="台州" class="c1" target="_blank">台州</a> <a href="/tags/1185/" title="浙江" class="c1" target="_blank">浙江</a> 的度数为  <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1007/" title="浙江省" class="c1" target="_blank">浙江省</a> <a href="/tags/1091/" title="台州" class="c1" target="_blank">台州</a> <a href="/tags/1185/" title="浙江" class="c1" target="_blank">浙江</a>  

Shape39

【分析】由直径所对的圆周角为直角得 <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/1091/" title="台州" class="c1" target="_blank">台州</a> <a href="/tags/1185/" title="浙江" class="c1" target="_blank">浙江</a> ,由切线的性质可得 <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1007/" title="浙江省" class="c1" target="_blank">浙江省</a> <a href="/tags/1091/" title="台州" class="c1" target="_blank">台州</a> <a href="/tags/1185/" title="浙江" class="c1" target="_blank">浙江</a> ,然后由同角的余角相等可得 <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/1091/" title="台州" class="c1" target="_blank">台州</a> <a href="/tags/1185/" title="浙江" class="c1" target="_blank">浙江</a>

【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/1091/" title="台州" class="c1" target="_blank">台州</a> <a href="/tags/1185/" title="浙江" class="c1" target="_blank">浙江</a>  <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1007/" title="浙江省" class="c1" target="_blank">浙江省</a> <a href="/tags/1091/" title="台州" class="c1" target="_blank">台州</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/1091/" title="台州" class="c1" target="_blank">台州</a> <a href="/tags/1185/" title="浙江" class="c1" target="_blank">浙江</a>

 <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1007/" title="浙江省" class="c1" target="_blank">浙江省</a> <a href="/tags/1091/" title="台州" class="c1" target="_blank">台州</a> <a href="/tags/1185/" title="浙江" class="c1" target="_blank">浙江</a>

 <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1007/" title="浙江省" class="c1" target="_blank">浙江省</a> <a href="/tags/1091/" title="台州" class="c1" target="_blank">台州</a> <a href="/tags/1185/" title="浙江" class="c1" target="_blank">浙江</a>  <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1007/" title="浙江省" class="c1" target="_blank">浙江省</a> <a href="/tags/1091/" title="台州" class="c1" target="_blank">台州</a> <a href="/tags/1185/" title="浙江" class="c1" target="_blank">浙江</a> 相切,

 <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1007/" title="浙江省" class="c1" target="_blank">浙江省</a> <a href="/tags/1091/" title="台州" class="c1" target="_blank">台州</a> <a href="/tags/1185/" title="浙江" class="c1" target="_blank">浙江</a>

 <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1007/" title="浙江省" class="c1" target="_blank">浙江省</a> <a href="/tags/1091/" title="台州" class="c1" target="_blank">台州</a> <a href="/tags/1185/" title="浙江" class="c1" target="_blank">浙江</a>

 <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1007/" title="浙江省" class="c1" target="_blank">浙江省</a> <a href="/tags/1091/" title="台州" class="c1" target="_blank">台州</a> <a href="/tags/1185/" title="浙江" class="c1" target="_blank">浙江</a>

 <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1007/" title="浙江省" class="c1" target="_blank">浙江省</a> <a href="/tags/1091/" title="台州" class="c1" target="_blank">台州</a> <a href="/tags/1185/" title="浙江" class="c1" target="_blank">浙江</a>

 <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1007/" title="浙江省" class="c1" target="_blank">浙江省</a> <a href="/tags/1091/" title="台州" class="c1" target="_blank">台州</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/1091/" title="台州" class="c1" target="_blank">台州</a> <a href="/tags/1185/" title="浙江" class="c1" target="_blank">浙江</a>

【点评】本题考查了切线的性质、圆的相关概念及性质及互余关系等知识点,熟练掌握圆的相关性质是解题的关键.

16.(5分)用四块大正方形地砖和一块小正方形地砖拼成如图所示的实线图案,每块大正方形地砖面积为 <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/1091/" title="台州" class="c1" target="_blank">台州</a> <a href="/tags/1185/" title="浙江" class="c1" target="_blank">浙江</a> ,小正方形地砖面积为 <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/1091/" title="台州" class="c1" target="_blank">台州</a> <a href="/tags/1185/" title="浙江" class="c1" target="_blank">浙江</a> ,依次连接四块大正方形地砖的中心得到正方形 <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/1091/" title="台州" class="c1" target="_blank">台州</a> <a href="/tags/1185/" title="浙江" class="c1" target="_blank">浙江</a> .则正方形 <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/1091/" title="台州" class="c1" target="_blank">台州</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/1091/" title="台州" class="c1" target="_blank">台州</a> <a href="/tags/1185/" title="浙江" class="c1" target="_blank">浙江</a>  .(用含 <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1007/" title="浙江省" class="c1" target="_blank">浙江省</a> <a href="/tags/1091/" title="台州" class="c1" target="_blank">台州</a> <a href="/tags/1185/" title="浙江" class="c1" target="_blank">浙江</a>  <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1007/" title="浙江省" class="c1" target="_blank">浙江省</a> <a href="/tags/1091/" title="台州" class="c1" target="_blank">台州</a> <a href="/tags/1185/" title="浙江" class="c1" target="_blank">浙江</a> 的代数式表示)

Shape40

【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/1091/" title="台州" class="c1" target="_blank">台州</a> <a href="/tags/1185/" title="浙江" class="c1" target="_blank">浙江</a>  <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1007/" title="浙江省" class="c1" target="_blank">浙江省</a> <a href="/tags/1091/" title="台州" class="c1" target="_blank">台州</a> <a href="/tags/1185/" title="浙江" class="c1" target="_blank">浙江</a> ,证明 <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1007/" title="浙江省" class="c1" target="_blank">浙江省</a> <a href="/tags/1091/" title="台州" class="c1" target="_blank">台州</a> <a href="/tags/1185/" title="浙江" class="c1" target="_blank">浙江</a> 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/1091/" title="台州" class="c1" target="_blank">台州</a> <a href="/tags/1185/" title="浙江" class="c1" target="_blank">浙江</a>  <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1007/" title="浙江省" class="c1" target="_blank">浙江省</a> <a href="/tags/1091/" title="台州" class="c1" target="_blank">台州</a> <a href="/tags/1185/" title="浙江" class="c1" target="_blank">浙江</a>

Shape41

 <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1007/" title="浙江省" class="c1" target="_blank">浙江省</a> <a href="/tags/1091/" title="台州" class="c1" target="_blank">台州</a> <a href="/tags/1185/" title="浙江" class="c1" target="_blank">浙江</a>

 <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1007/" title="浙江省" class="c1" target="_blank">浙江省</a> <a href="/tags/1091/" title="台州" class="c1" target="_blank">台州</a> <a href="/tags/1185/" title="浙江" class="c1" target="_blank">浙江</a>

 <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1007/" title="浙江省" class="c1" target="_blank">浙江省</a> <a href="/tags/1091/" title="台州" class="c1" target="_blank">台州</a> <a href="/tags/1185/" title="浙江" class="c1" target="_blank">浙江</a>  <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1007/" title="浙江省" class="c1" target="_blank">浙江省</a> <a href="/tags/1091/" title="台州" class="c1" target="_blank">台州</a> <a href="/tags/1185/" title="浙江" class="c1" target="_blank">浙江</a>

 <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1007/" title="浙江省" class="c1" target="_blank">浙江省</a> <a href="/tags/1091/" title="台州" class="c1" target="_blank">台州</a> <a href="/tags/1185/" title="浙江" class="c1" target="_blank">浙江</a>

 <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1007/" title="浙江省" class="c1" target="_blank">浙江省</a> <a href="/tags/1091/" title="台州" class="c1" target="_blank">台州</a> <a href="/tags/1185/" title="浙江" class="c1" target="_blank">浙江</a>

 <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1007/" title="浙江省" class="c1" target="_blank">浙江省</a> <a href="/tags/1091/" title="台州" class="c1" target="_blank">台州</a> <a href="/tags/1185/" title="浙江" class="c1" target="_blank">浙江</a>

 <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1007/" title="浙江省" class="c1" target="_blank">浙江省</a> <a href="/tags/1091/" title="台州" class="c1" target="_blank">台州</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/1091/" title="台州" class="c1" target="_blank">台州</a> <a href="/tags/1185/" title="浙江" class="c1" target="_blank">浙江</a> 的面积 <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1007/" title="浙江省" class="c1" target="_blank">浙江省</a> <a href="/tags/1091/" title="台州" class="c1" target="_blank">台州</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/1091/" title="台州" class="c1" target="_blank">台州</a> <a href="/tags/1185/" title="浙江" class="c1" target="_blank">浙江</a>

【点评】本题考查中心对称,全等三角形的判定和性质,图形的拼剪等知识,解题的关键灵活运用所学知识解决问题,属于中考常考题型.

三、解答题(本题有8小题,第1720题每题8分,第2110分,第2223题每题12分,第2414分,共80分)

17.(8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/1091/" title="台州" class="c1" target="_blank">台州</a> <a href="/tags/1185/" title="浙江" class="c1" target="_blank">浙江</a>

【分析】直接利用绝对值的性质和二次根式的性质化简得出答案.

【解答】解:原式 <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1007/" title="浙江省" class="c1" target="_blank">浙江省</a> <a href="/tags/1091/" title="台州" class="c1" target="_blank">台州</a> <a href="/tags/1185/" title="浙江" class="c1" target="_blank">浙江</a>

 <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1007/" title="浙江省" class="c1" target="_blank">浙江省</a> <a href="/tags/1091/" title="台州" class="c1" target="_blank">台州</a> <a href="/tags/1185/" title="浙江" class="c1" target="_blank">浙江</a>

【点评】此题主要考查了实数运算,正确化简二次根式是解题关键.

18.(8分)解方程组: <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1007/" title="浙江省" class="c1" target="_blank">浙江省</a> <a href="/tags/1091/" title="台州" class="c1" target="_blank">台州</a> <a href="/tags/1185/" title="浙江" class="c1" target="_blank">浙江</a>

【分析】方程组利用加减消元法求出解即可.

【解答】解: <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1007/" title="浙江省" class="c1" target="_blank">浙江省</a> <a href="/tags/1091/" title="台州" class="c1" target="_blank">台州</a> <a href="/tags/1185/" title="浙江" class="c1" target="_blank">浙江</a>

 <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1007/" title="浙江省" class="c1" target="_blank">浙江省</a> <a href="/tags/1091/" title="台州" class="c1" target="_blank">台州</a> <a href="/tags/1185/" title="浙江" class="c1" target="_blank">浙江</a>得: <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1007/" title="浙江省" class="c1" target="_blank">浙江省</a> <a href="/tags/1091/" title="台州" class="c1" target="_blank">台州</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/1091/" title="台州" class="c1" target="_blank">台州</a> <a href="/tags/1185/" title="浙江" class="c1" target="_blank">浙江</a>

 <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1007/" title="浙江省" class="c1" target="_blank">浙江省</a> <a href="/tags/1091/" title="台州" class="c1" target="_blank">台州</a> <a href="/tags/1185/" title="浙江" class="c1" target="_blank">浙江</a> 代入得: <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/1091/" title="台州" class="c1" target="_blank">台州</a> <a href="/tags/1185/" title="浙江" class="c1" target="_blank">浙江</a>

则该方程组的解为 <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1007/" title="浙江省" class="c1" target="_blank">浙江省</a> <a href="/tags/1091/" title="台州" class="c1" target="_blank">台州</a> <a href="/tags/1185/" title="浙江" class="c1" target="_blank">浙江</a>

【点评】此题考查了解二元一次方程组,利用了消元的思想,消元的方法有:代入消元法与加减消元法.

19.(8分)人字折叠梯完全打开后如图1所示, <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1007/" title="浙江省" class="c1" target="_blank">浙江省</a> <a href="/tags/1091/" title="台州" class="c1" target="_blank">台州</a> <a href="/tags/1185/" title="浙江" class="c1" target="_blank">浙江</a>  <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1007/" title="浙江省" class="c1" target="_blank">浙江省</a> <a href="/tags/1091/" title="台州" class="c1" target="_blank">台州</a> <a href="/tags/1185/" title="浙江" class="c1" target="_blank">浙江</a> 是折叠梯的两个着地点, <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1007/" title="浙江省" class="c1" target="_blank">浙江省</a> <a href="/tags/1091/" title="台州" class="c1" target="_blank">台州</a> <a href="/tags/1185/" title="浙江" class="c1" target="_blank">浙江</a> 是折叠梯最高级踏板的固定点.图2是它的示意图, <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/1091/" title="台州" class="c1" target="_blank">台州</a> <a href="/tags/1185/" title="浙江" class="c1" target="_blank">浙江</a>  <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1007/" title="浙江省" class="c1" target="_blank">浙江省</a> <a href="/tags/1091/" title="台州" class="c1" target="_blank">台州</a> <a href="/tags/1185/" title="浙江" class="c1" target="_blank">浙江</a>  <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1007/" title="浙江省" class="c1" target="_blank">浙江省</a> <a href="/tags/1091/" title="台州" class="c1" target="_blank">台州</a> <a href="/tags/1185/" title="浙江" class="c1" target="_blank">浙江</a> ,求点 <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1007/" title="浙江省" class="c1" target="_blank">浙江省</a> <a href="/tags/1091/" title="台州" class="c1" target="_blank">台州</a> <a href="/tags/1185/" title="浙江" class="c1" target="_blank">浙江</a> 离地面的高度 <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1007/" title="浙江省" class="c1" target="_blank">浙江省</a> <a href="/tags/1091/" title="台州" class="c1" target="_blank">台州</a> <a href="/tags/1185/" title="浙江" class="c1" target="_blank">浙江</a> .(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/1091/" title="台州" class="c1" target="_blank">台州</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/1091/" title="台州" class="c1" target="_blank">台州</a> <a href="/tags/1185/" title="浙江" class="c1" target="_blank">浙江</a>  <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1007/" title="浙江省" class="c1" target="_blank">浙江省</a> <a href="/tags/1091/" title="台州" class="c1" target="_blank">台州</a> <a href="/tags/1185/" title="浙江" class="c1" target="_blank">浙江</a>  <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1007/" title="浙江省" class="c1" target="_blank">浙江省</a> <a href="/tags/1091/" title="台州" class="c1" target="_blank">台州</a> <a href="/tags/1185/" title="浙江" class="c1" target="_blank">浙江</a>  <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1007/" title="浙江省" class="c1" target="_blank">浙江省</a> <a href="/tags/1091/" title="台州" class="c1" target="_blank">台州</a> <a href="/tags/1185/" title="浙江" class="c1" target="_blank">浙江</a>

Shape42

【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/1091/" title="台州" class="c1" target="_blank">台州</a> <a href="/tags/1185/" title="浙江" class="c1" target="_blank">浙江</a>  <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1007/" title="浙江省" class="c1" target="_blank">浙江省</a> <a href="/tags/1091/" title="台州" class="c1" target="_blank">台州</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/1091/" title="台州" class="c1" target="_blank">台州</a> <a href="/tags/1185/" title="浙江" class="c1" target="_blank">浙江</a> ,根据等腰三角形的三线合一性质得 <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/1091/" title="台州" class="c1" target="_blank">台州</a> <a href="/tags/1185/" title="浙江" class="c1" target="_blank">浙江</a> 的度数,进而得 <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/1091/" title="台州" class="c1" target="_blank">台州</a> <a href="/tags/1185/" title="浙江" class="c1" target="_blank">浙江</a> 的度数,再解直角三角形得结果.

【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/1091/" title="台州" class="c1" target="_blank">台州</a> <a href="/tags/1185/" title="浙江" class="c1" target="_blank">浙江</a>  <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1007/" title="浙江省" class="c1" target="_blank">浙江省</a> <a href="/tags/1091/" title="台州" class="c1" target="_blank">台州</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/1091/" title="台州" class="c1" target="_blank">台州</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/1091/" title="台州" class="c1" target="_blank">台州</a> <a href="/tags/1185/" title="浙江" class="c1" target="_blank">浙江</a>

 <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1007/" title="浙江省" class="c1" target="_blank">浙江省</a> <a href="/tags/1091/" title="台州" class="c1" target="_blank">台州</a> <a href="/tags/1185/" title="浙江" class="c1" target="_blank">浙江</a>

 <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1007/" title="浙江省" class="c1" target="_blank">浙江省</a> <a href="/tags/1091/" title="台州" class="c1" target="_blank">台州</a> <a href="/tags/1185/" title="浙江" class="c1" target="_blank">浙江</a>  <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1007/" title="浙江省" class="c1" target="_blank">浙江省</a> <a href="/tags/1091/" title="台州" class="c1" target="_blank">台州</a> <a href="/tags/1185/" title="浙江" class="c1" target="_blank">浙江</a>

 <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1007/" title="浙江省" class="c1" target="_blank">浙江省</a> <a href="/tags/1091/" title="台州" class="c1" target="_blank">台州</a> <a href="/tags/1185/" title="浙江" class="c1" target="_blank">浙江</a>

 <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1007/" title="浙江省" class="c1" target="_blank">浙江省</a> <a href="/tags/1091/" title="台州" class="c1" target="_blank">台州</a> <a href="/tags/1185/" title="浙江" class="c1" target="_blank">浙江</a>

Shape43

答:点 <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1007/" title="浙江省" class="c1" target="_blank">浙江省</a> <a href="/tags/1091/" title="台州" class="c1" target="_blank">台州</a> <a href="/tags/1185/" title="浙江" class="c1" target="_blank">浙江</a> 离地面的高度 <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1007/" title="浙江省" class="c1" target="_blank">浙江省</a> <a href="/tags/1091/" title="台州" class="c1" target="_blank">台州</a> <a href="/tags/1185/" title="浙江" class="c1" target="_blank">浙江</a> 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/1091/" title="台州" class="c1" target="_blank">台州</a> <a href="/tags/1185/" title="浙江" class="c1" target="_blank">浙江</a>

【点评】本题主要考查了解直角三角形,等腰三角形的性质,关键是构造直角三角形求得 <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/1091/" title="台州" class="c1" target="_blank">台州</a> <a href="/tags/1185/" title="浙江" class="c1" target="_blank">浙江</a> 的度数.

20.(8分)小明同学训练某种运算技能,每次训练完成相同数量的题目,各次训练题目难度相当.当训练次数不超过15次时,完成一次训练所需要的时间 <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1007/" title="浙江省" class="c1" target="_blank">浙江省</a> <a href="/tags/1091/" title="台州" class="c1" target="_blank">台州</a> <a href="/tags/1185/" title="浙江" class="c1" target="_blank">浙江</a> (单位:秒)与训练次数 <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/1091/" title="台州" class="c1" target="_blank">台州</a> <a href="/tags/1185/" title="浙江" class="c1" target="_blank">浙江</a> (单位:次)之间满足如图所示的反比例函数关系.完成第3次训练所需时间为400秒.

1)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/1091/" title="台州" class="c1" target="_blank">台州</a> <a href="/tags/1185/" title="浙江" class="c1" target="_blank">浙江</a>  <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1007/" title="浙江省" class="c1" target="_blank">浙江省</a> <a href="/tags/1091/" title="台州" class="c1" target="_blank">台州</a> <a href="/tags/1185/" title="浙江" class="c1" target="_blank">浙江</a> 之间的函数关系式;

2)当 <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1007/" title="浙江省" class="c1" target="_blank">浙江省</a> <a href="/tags/1091/" title="台州" class="c1" target="_blank">台州</a> <a href="/tags/1185/" title="浙江" class="c1" target="_blank">浙江</a> 的值为6810时,对应的函数值分别为 <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1007/" title="浙江省" class="c1" target="_blank">浙江省</a> <a href="/tags/1091/" title="台州" class="c1" target="_blank">台州</a> <a href="/tags/1185/" title="浙江" class="c1" target="_blank">浙江</a>  <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1007/" title="浙江省" class="c1" target="_blank">浙江省</a> <a href="/tags/1091/" title="台州" class="c1" target="_blank">台州</a> <a href="/tags/1185/" title="浙江" class="c1" target="_blank">浙江</a>  <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1007/" title="浙江省" class="c1" target="_blank">浙江省</a> <a href="/tags/1091/" title="台州" class="c1" target="_blank">台州</a> <a href="/tags/1185/" title="浙江" class="c1" target="_blank">浙江</a> ,比较 <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1007/" title="浙江省" class="c1" target="_blank">浙江省</a> <a href="/tags/1091/" title="台州" class="c1" target="_blank">台州</a> <a href="/tags/1185/" title="浙江" class="c1" target="_blank">浙江</a>  <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1007/" title="浙江省" class="c1" target="_blank">浙江省</a> <a href="/tags/1091/" title="台州" class="c1" target="_blank">台州</a> <a href="/tags/1185/" title="浙江" class="c1" target="_blank">浙江</a> 的大小: <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1007/" title="浙江省" class="c1" target="_blank">浙江省</a> <a href="/tags/1091/" title="台州" class="c1" target="_blank">台州</a> <a href="/tags/1185/" title="浙江" class="c1" target="_blank">浙江</a>   <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1007/" title="浙江省" class="c1" target="_blank">浙江省</a> <a href="/tags/1091/" title="台州" class="c1" target="_blank">台州</a> <a href="/tags/1185/" title="浙江" class="c1" target="_blank">浙江</a>   <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1007/" title="浙江省" class="c1" target="_blank">浙江省</a> <a href="/tags/1091/" title="台州" class="c1" target="_blank">台州</a> <a href="/tags/1185/" title="浙江" class="c1" target="_blank">浙江</a>

Shape44

【分析】1)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/1091/" title="台州" class="c1" target="_blank">台州</a> <a href="/tags/1185/" title="浙江" class="c1" target="_blank">浙江</a>  <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1007/" title="浙江省" class="c1" target="_blank">浙江省</a> <a href="/tags/1091/" title="台州" class="c1" target="_blank">台州</a> <a href="/tags/1185/" title="浙江" class="c1" target="_blank">浙江</a> 之间的函数关系式为: <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1007/" title="浙江省" class="c1" target="_blank">浙江省</a> <a href="/tags/1091/" title="台州" class="c1" target="_blank">台州</a> <a href="/tags/1185/" title="浙江" class="c1" target="_blank">浙江</a> ,把 <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1007/" title="浙江省" class="c1" target="_blank">浙江省</a> <a href="/tags/1091/" title="台州" class="c1" target="_blank">台州</a> <a href="/tags/1185/" title="浙江" class="c1" target="_blank">浙江</a> 代入 <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1007/" title="浙江省" class="c1" target="_blank">浙江省</a> <a href="/tags/1091/" title="台州" class="c1" target="_blank">台州</a> <a href="/tags/1185/" title="浙江" class="c1" target="_blank">浙江</a> 即可得到结论,

2)把 <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1007/" title="浙江省" class="c1" target="_blank">浙江省</a> <a href="/tags/1091/" title="台州" class="c1" target="_blank">台州</a> <a href="/tags/1185/" title="浙江" class="c1" target="_blank">浙江</a> 810分别代入 <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1007/" title="浙江省" class="c1" target="_blank">浙江省</a> <a href="/tags/1091/" title="台州" class="c1" target="_blank">台州</a> <a href="/tags/1185/" title="浙江" class="c1" target="_blank">浙江</a> 得到求得 <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/1091/" title="台州" class="c1" target="_blank">台州</a> <a href="/tags/1185/" title="浙江" class="c1" target="_blank">浙江</a>  <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1007/" title="浙江省" class="c1" target="_blank">浙江省</a> <a href="/tags/1091/" title="台州" class="c1" target="_blank">台州</a> <a href="/tags/1185/" title="浙江" class="c1" target="_blank">浙江</a>  <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1007/" title="浙江省" class="c1" target="_blank">浙江省</a> <a href="/tags/1091/" title="台州" class="c1" target="_blank">台州</a> <a href="/tags/1185/" title="浙江" class="c1" target="_blank">浙江</a> 值,即可得到结论.

【解答】解:(1)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/1091/" title="台州" class="c1" target="_blank">台州</a> <a href="/tags/1185/" title="浙江" class="c1" target="_blank">浙江</a>  <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1007/" title="浙江省" class="c1" target="_blank">浙江省</a> <a href="/tags/1091/" title="台州" class="c1" target="_blank">台州</a> <a href="/tags/1185/" title="浙江" class="c1" target="_blank">浙江</a> 之间的函数关系式为: <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1007/" title="浙江省" class="c1" target="_blank">浙江省</a> <a href="/tags/1091/" title="台州" class="c1" target="_blank">台州</a> <a href="/tags/1185/" title="浙江" class="c1" target="_blank">浙江</a>

 <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1007/" title="浙江省" class="c1" target="_blank">浙江省</a> <a href="/tags/1091/" title="台州" class="c1" target="_blank">台州</a> <a href="/tags/1185/" title="浙江" class="c1" target="_blank">浙江</a> 代入 <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1007/" title="浙江省" class="c1" target="_blank">浙江省</a> <a href="/tags/1091/" title="台州" class="c1" target="_blank">台州</a> <a href="/tags/1185/" title="浙江" class="c1" target="_blank">浙江</a> 得, <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1007/" title="浙江省" class="c1" target="_blank">浙江省</a> <a href="/tags/1091/" title="台州" class="c1" target="_blank">台州</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/1091/" title="台州" class="c1" target="_blank">台州</a> <a href="/tags/1185/" title="浙江" class="c1" target="_blank">浙江</a>

 <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1007/" title="浙江省" class="c1" target="_blank">浙江省</a> <a href="/tags/1091/" title="台州" class="c1" target="_blank">台州</a> <a href="/tags/1185/" title="浙江" class="c1" target="_blank">浙江</a>  <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1007/" title="浙江省" class="c1" target="_blank">浙江省</a> <a href="/tags/1091/" title="台州" class="c1" target="_blank">台州</a> <a href="/tags/1185/" title="浙江" class="c1" target="_blank">浙江</a> 之间的函数关系式为 <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1007/" title="浙江省" class="c1" target="_blank">浙江省</a> <a href="/tags/1091/" title="台州" class="c1" target="_blank">台州</a> <a href="/tags/1185/" title="浙江" class="c1" target="_blank">浙江</a>

2)把 <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1007/" title="浙江省" class="c1" target="_blank">浙江省</a> <a href="/tags/1091/" title="台州" class="c1" target="_blank">台州</a> <a href="/tags/1185/" title="浙江" class="c1" target="_blank">浙江</a> 810分别代入 <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1007/" title="浙江省" class="c1" target="_blank">浙江省</a> <a href="/tags/1091/" title="台州" class="c1" target="_blank">台州</a> <a href="/tags/1185/" title="浙江" class="c1" target="_blank">浙江</a> 得, <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1007/" title="浙江省" class="c1" target="_blank">浙江省</a> <a href="/tags/1091/" title="台州" class="c1" target="_blank">台州</a> <a href="/tags/1185/" title="浙江" class="c1" target="_blank">浙江</a>  <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1007/" title="浙江省" class="c1" target="_blank">浙江省</a> <a href="/tags/1091/" title="台州" class="c1" target="_blank">台州</a> <a href="/tags/1185/" title="浙江" class="c1" target="_blank">浙江</a>  <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1007/" title="浙江省" class="c1" target="_blank">浙江省</a> <a href="/tags/1091/" title="台州" class="c1" target="_blank">台州</a> <a href="/tags/1185/" title="浙江" class="c1" target="_blank">浙江</a>

 <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1007/" title="浙江省" class="c1" target="_blank">浙江省</a> <a href="/tags/1091/" title="台州" class="c1" target="_blank">台州</a> <a href="/tags/1185/" title="浙江" class="c1" target="_blank">浙江</a>  <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1007/" title="浙江省" class="c1" target="_blank">浙江省</a> <a href="/tags/1091/" title="台州" class="c1" target="_blank">台州</a> <a href="/tags/1185/" title="浙江" class="c1" target="_blank">浙江</a>

 <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1007/" title="浙江省" class="c1" target="_blank">浙江省</a> <a href="/tags/1091/" title="台州" class="c1" target="_blank">台州</a> <a href="/tags/1185/" title="浙江" class="c1" target="_blank">浙江</a>

 <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1007/" title="浙江省" class="c1" target="_blank">浙江省</a> <a href="/tags/1091/" title="台州" class="c1" target="_blank">台州</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/1091/" title="台州" class="c1" target="_blank">台州</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的应用,待定系数法求函数的解析式,反比例函数的性质,正确的理解题意是解题的关键.

21.(10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/1091/" title="台州" class="c1" target="_blank">台州</a> <a href="/tags/1185/" title="浙江" class="c1" target="_blank">浙江</a>  <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1007/" title="浙江省" class="c1" target="_blank">浙江省</a> <a href="/tags/1091/" title="台州" class="c1" target="_blank">台州</a> <a href="/tags/1185/" title="浙江" class="c1" target="_blank">浙江</a>  <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1007/" title="浙江省" class="c1" target="_blank">浙江省</a> <a href="/tags/1091/" title="台州" class="c1" target="_blank">台州</a> <a href="/tags/1185/" title="浙江" class="c1" target="_blank">浙江</a>  <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1007/" title="浙江省" class="c1" target="_blank">浙江省</a> <a href="/tags/1091/" title="台州" class="c1" target="_blank">台州</a> <a href="/tags/1185/" title="浙江" class="c1" target="_blank">浙江</a> 相交于点 <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1007/" title="浙江省" class="c1" target="_blank">浙江省</a> <a href="/tags/1091/" title="台州" class="c1" target="_blank">台州</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/1091/" title="台州" class="c1" target="_blank">台州</a> <a href="/tags/1185/" title="浙江" class="c1" target="_blank">浙江</a>

2)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/1091/" title="台州" class="c1" target="_blank">台州</a> <a href="/tags/1185/" title="浙江" class="c1" target="_blank">浙江</a> 的形状,并说明理由.

Shape45

【分析】1)由“ <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1007/" title="浙江省" class="c1" target="_blank">浙江省</a> <a href="/tags/1091/" title="台州" class="c1" target="_blank">台州</a> <a href="/tags/1185/" title="浙江" class="c1" target="_blank">浙江</a> ”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/1091/" title="台州" class="c1" target="_blank">台州</a> <a href="/tags/1185/" title="浙江" class="c1" target="_blank">浙江</a>

2)由全等三角形的性质可得 <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1007/" title="浙江省" class="c1" target="_blank">浙江省</a> <a href="/tags/1091/" title="台州" class="c1" target="_blank">台州</a> <a href="/tags/1185/" title="浙江" class="c1" target="_blank">浙江</a> ,由等腰三角形的性质可得 <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1007/" title="浙江省" class="c1" target="_blank">浙江省</a> <a href="/tags/1091/" title="台州" class="c1" target="_blank">台州</a> <a href="/tags/1185/" title="浙江" class="c1" target="_blank">浙江</a> ,可求 <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1007/" title="浙江省" class="c1" target="_blank">浙江省</a> <a href="/tags/1091/" title="台州" class="c1" target="_blank">台州</a> <a href="/tags/1185/" title="浙江" class="c1" target="_blank">浙江</a> ,可得 <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1007/" title="浙江省" class="c1" target="_blank">浙江省</a> <a href="/tags/1091/" title="台州" class="c1" target="_blank">台州</a> <a href="/tags/1185/" title="浙江" class="c1" target="_blank">浙江</a> ,即可得结论.

【解答】证明:(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/1091/" title="台州" class="c1" target="_blank">台州</a> <a href="/tags/1185/" title="浙江" class="c1" target="_blank">浙江</a>  <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1007/" title="浙江省" class="c1" target="_blank">浙江省</a> <a href="/tags/1091/" title="台州" class="c1" target="_blank">台州</a> <a href="/tags/1185/" title="浙江" class="c1" target="_blank">浙江</a>  <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1007/" title="浙江省" class="c1" target="_blank">浙江省</a> <a href="/tags/1091/" title="台州" class="c1" target="_blank">台州</a> <a href="/tags/1185/" title="浙江" class="c1" target="_blank">浙江</a>

 <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1007/" title="浙江省" class="c1" target="_blank">浙江省</a> <a href="/tags/1091/" title="台州" class="c1" target="_blank">台州</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/1091/" title="台州" class="c1" target="_blank">台州</a> <a href="/tags/1185/" title="浙江" class="c1" target="_blank">浙江</a> 是等腰三角形,

理由如下:

 <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1007/" title="浙江省" class="c1" target="_blank">浙江省</a> <a href="/tags/1091/" title="台州" class="c1" target="_blank">台州</a> <a href="/tags/1185/" title="浙江" class="c1" target="_blank">浙江</a>

 <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1007/" title="浙江省" class="c1" target="_blank">浙江省</a> <a href="/tags/1091/" title="台州" class="c1" target="_blank">台州</a> <a href="/tags/1185/" title="浙江" class="c1" target="_blank">浙江</a>

 <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1007/" title="浙江省" class="c1" target="_blank">浙江省</a> <a href="/tags/1091/" title="台州" class="c1" target="_blank">台州</a> <a href="/tags/1185/" title="浙江" class="c1" target="_blank">浙江</a>

 <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1007/" title="浙江省" class="c1" target="_blank">浙江省</a> <a href="/tags/1091/" title="台州" class="c1" target="_blank">台州</a> <a href="/tags/1185/" title="浙江" class="c1" target="_blank">浙江</a>

 <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1007/" title="浙江省" class="c1" target="_blank">浙江省</a> <a href="/tags/1091/" title="台州" class="c1" target="_blank">台州</a> <a href="/tags/1185/" title="浙江" class="c1" target="_blank">浙江</a>

 <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1007/" title="浙江省" class="c1" target="_blank">浙江省</a> <a href="/tags/1091/" title="台州" class="c1" target="_blank">台州</a> <a href="/tags/1185/" title="浙江" class="c1" target="_blank">浙江</a>

 <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1007/" title="浙江省" class="c1" target="_blank">浙江省</a> <a href="/tags/1091/" title="台州" class="c1" target="_blank">台州</a> <a href="/tags/1185/" title="浙江" class="c1" target="_blank">浙江</a>

 <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1007/" title="浙江省" class="c1" target="_blank">浙江省</a> <a href="/tags/1091/" title="台州" class="c1" target="_blank">台州</a> <a href="/tags/1185/" title="浙江" class="c1" target="_blank">浙江</a> 是等腰三角形.

【点评】本题考查了全等三角形的判定和性质,等腰三角形的判定和性质,灵活运用全等三角形的性质是本题的关键.

22.(12分)新冠疫情期间,某校开展线上教学,有“录播”和“直播”两种教学方式供学生选择其中一种.为分析该校学生线上学习情况,在接受这两种教学方式的学生中各随机抽取40人调查学习参与度,数据整理结果如表(数据分组包含左端值不包含右端值).

参与度

人数

方式

 <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/1091/" title="台州" class="c1" target="_blank">台州</a> <a href="/tags/1185/" title="浙江" class="c1" target="_blank">浙江</a>

 <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1007/" title="浙江省" class="c1" target="_blank">浙江省</a> <a href="/tags/1091/" title="台州" class="c1" target="_blank">台州</a> <a href="/tags/1185/" title="浙江" class="c1" target="_blank">浙江</a>

 <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1007/" title="浙江省" class="c1" target="_blank">浙江省</a> <a href="/tags/1091/" title="台州" class="c1" target="_blank">台州</a> <a href="/tags/1185/" title="浙江" class="c1" target="_blank">浙江</a>

 <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1007/" title="浙江省" class="c1" target="_blank">浙江省</a> <a href="/tags/1091/" title="台州" class="c1" target="_blank">台州</a> <a href="/tags/1185/" title="浙江" class="c1" target="_blank">浙江</a>

录播

4

16

12

8

直播

2

10

16

12

1)你认为哪种教学方式学生的参与度更高?简要说明理由.

2)从教学方式为“直播”的学生中任意抽取一位学生,估计该学生的参与度在0.8及以上的概率是多少?

3)该校共有800名学生,选择“录播”和“直播”的人数之比为 <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/1091/" title="台州" class="c1" target="_blank">台州</a> <a href="/tags/1185/" title="浙江" class="c1" target="_blank">浙江</a> ,估计参与度在0.4以下的共有多少人?

【分析】1)根据表格数据得出两种教学方式参与度在0.6以上的人数,比较即可作出判断;

2)用表格中“直播”教学方式学生参与度在0.8以上的人数除以被调查的总人数即可估计对应概率;

3)先根据“录播”和“直播”的人数之比为 <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/1091/" title="台州" class="c1" target="_blank">台州</a> <a href="/tags/1185/" title="浙江" class="c1" target="_blank">浙江</a> 及该校学生总人数求出“直播”、“录播”人数,再分别乘以两种教学方式中参与度在0.4以下人数所占比例求出对应人数,再相加即可得出答案.

【解答】解:(1)“直播”教学方式学生的参与度更高:

理由:“直播”参与度在0.6以上的人数为28人,“录播”参与度在0.6以上的人数为20人,参与度在0.6以上的“直播”人数远多于“录播”人数,

所以“直播”教学方式学生的参与度更高;


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/1091/" title="台州" class="c1" target="_blank">台州</a> <a href="/tags/1185/" title="浙江" class="c1" target="_blank">浙江</a>

答:估计该学生的参与度在0.8及以上的概率是 <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/1091/" title="台州" class="c1" target="_blank">台州</a> <a href="/tags/1185/" title="浙江" class="c1" target="_blank">浙江</a>


3)“录播”总学生数为 <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/1091/" title="台州" class="c1" target="_blank">台州</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/1091/" title="台州" class="c1" target="_blank">台州</a> <a href="/tags/1185/" title="浙江" class="c1" target="_blank">浙江</a> ,“直播”总学生数为 <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/1091/" title="台州" class="c1" target="_blank">台州</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/1091/" title="台州" class="c1" target="_blank">台州</a> <a href="/tags/1185/" title="浙江" class="c1" target="_blank">浙江</a>

所以“录播”参与度在0.4以下的学生数为 <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/1091/" title="台州" class="c1" target="_blank">台州</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/1091/" title="台州" class="c1" target="_blank">台州</a> <a href="/tags/1185/" title="浙江" class="c1" target="_blank">浙江</a>

直播”参与度在0.4以下的学生数为 <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/1091/" title="台州" class="c1" target="_blank">台州</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/1091/" title="台州" class="c1" target="_blank">台州</a> <a href="/tags/1185/" title="浙江" class="c1" target="_blank">浙江</a>

所以参与度在0.4以下的学生共有 <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1007/" title="浙江省" class="c1" target="_blank">浙江省</a> <a href="/tags/1091/" title="台州" class="c1" target="_blank">台州</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/1091/" title="台州" class="c1" target="_blank">台州</a> <a href="/tags/1185/" title="浙江" class="c1" target="_blank">浙江</a>

【点评】本题主要考查利用频率估计概率,大量重复实验时,事件发生的频率在某个固定位置左右摆动,并且摆动的幅度越来越小,根据这个频率稳定性定理,可以用频率的集中趋势来估计概率,这个固定的近似值就是这个事件的概率.

23.(12分)如图,在 <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1007/" title="浙江省" class="c1" target="_blank">浙江省</a> <a href="/tags/1091/" title="台州" class="c1" target="_blank">台州</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/1091/" title="台州" class="c1" target="_blank">台州</a> <a href="/tags/1185/" title="浙江" class="c1" target="_blank">浙江</a> ,将 <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1007/" title="浙江省" class="c1" target="_blank">浙江省</a> <a href="/tags/1091/" title="台州" class="c1" target="_blank">台州</a> <a href="/tags/1185/" title="浙江" class="c1" target="_blank">浙江</a> 沿直线 <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/1091/" title="台州" class="c1" target="_blank">台州</a> <a href="/tags/1185/" title="浙江" class="c1" target="_blank">浙江</a> 翻折得到 <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/1091/" title="台州" class="c1" target="_blank">台州</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/1091/" title="台州" class="c1" target="_blank">台州</a> <a href="/tags/1185/" title="浙江" class="c1" target="_blank">浙江</a>  <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1007/" title="浙江省" class="c1" target="_blank">浙江省</a> <a href="/tags/1091/" title="台州" class="c1" target="_blank">台州</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/1091/" title="台州" class="c1" target="_blank">台州</a> <a href="/tags/1185/" title="浙江" class="c1" target="_blank">浙江</a>  <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1007/" title="浙江省" class="c1" target="_blank">浙江省</a> <a href="/tags/1091/" title="台州" class="c1" target="_blank">台州</a> <a href="/tags/1185/" title="浙江" class="c1" target="_blank">浙江</a> 是线段 <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/1091/" title="台州" class="c1" target="_blank">台州</a> <a href="/tags/1185/" title="浙江" class="c1" target="_blank">浙江</a> 上的点,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/1091/" title="台州" class="c1" target="_blank">台州</a> <a href="/tags/1185/" title="浙江" class="c1" target="_blank">浙江</a>  <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1007/" title="浙江省" class="c1" target="_blank">浙江省</a> <a href="/tags/1091/" title="台州" class="c1" target="_blank">台州</a> <a href="/tags/1185/" title="浙江" class="c1" target="_blank">浙江</a>  <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1007/" title="浙江省" class="c1" target="_blank">浙江省</a> <a href="/tags/1091/" title="台州" class="c1" target="_blank">台州</a> <a href="/tags/1185/" title="浙江" class="c1" target="_blank">浙江</a> 的外接圆与 <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/1091/" title="台州" class="c1" target="_blank">台州</a> <a href="/tags/1185/" title="浙江" class="c1" target="_blank">浙江</a> 的另一个交点,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/1091/" title="台州" class="c1" target="_blank">台州</a> <a href="/tags/1185/" title="浙江" class="c1" target="_blank">浙江</a>  <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1007/" title="浙江省" class="c1" target="_blank">浙江省</a> <a href="/tags/1091/" title="台州" class="c1" target="_blank">台州</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/1091/" title="台州" class="c1" target="_blank">台州</a> <a href="/tags/1185/" title="浙江" class="c1" target="_blank">浙江</a> 是直角三角形;

2)求证: <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1007/" title="浙江省" class="c1" target="_blank">浙江省</a> <a href="/tags/1091/" title="台州" class="c1" target="_blank">台州</a> <a href="/tags/1185/" title="浙江" class="c1" target="_blank">浙江</a>

3)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/1091/" title="台州" class="c1" target="_blank">台州</a> <a href="/tags/1185/" title="浙江" class="c1" target="_blank">浙江</a>  <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1007/" title="浙江省" class="c1" target="_blank">浙江省</a> <a href="/tags/1091/" title="台州" class="c1" target="_blank">台州</a> <a href="/tags/1185/" title="浙江" class="c1" target="_blank">浙江</a> 时,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/1091/" title="台州" class="c1" target="_blank">台州</a> <a href="/tags/1185/" title="浙江" class="c1" target="_blank">浙江</a> 上存在点 <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1007/" title="浙江省" class="c1" target="_blank">浙江省</a> <a href="/tags/1091/" title="台州" class="c1" target="_blank">台州</a> <a href="/tags/1185/" title="浙江" class="c1" target="_blank">浙江</a> ,使得 <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/1091/" title="台州" class="c1" target="_blank">台州</a> <a href="/tags/1185/" title="浙江" class="c1" target="_blank">浙江</a>  <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1007/" title="浙江省" class="c1" target="_blank">浙江省</a> <a href="/tags/1091/" title="台州" class="c1" target="_blank">台州</a> <a href="/tags/1185/" title="浙江" class="c1" target="_blank">浙江</a> 互相平分,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/1091/" title="台州" class="c1" target="_blank">台州</a> <a href="/tags/1185/" title="浙江" class="c1" target="_blank">浙江</a> 的值.

Shape46

【分析】1)想办法证明 <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/1091/" title="台州" class="c1" target="_blank">台州</a> <a href="/tags/1185/" title="浙江" class="c1" target="_blank">浙江</a> 即可解决问题(也可以利用圆内接四边形的性质直接证明).

2)根据两角对应相等两三角形相似证明.

3)证明四边形 <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/1091/" title="台州" class="c1" target="_blank">台州</a> <a href="/tags/1185/" title="浙江" class="c1" target="_blank">浙江</a> 是平行四边形,推出 <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1007/" title="浙江省" class="c1" target="_blank">浙江省</a> <a href="/tags/1091/" title="台州" class="c1" target="_blank">台州</a> <a href="/tags/1185/" title="浙江" class="c1" target="_blank">浙江</a>  <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1007/" title="浙江省" class="c1" target="_blank">浙江省</a> <a href="/tags/1091/" title="台州" class="c1" target="_blank">台州</a> <a href="/tags/1185/" title="浙江" class="c1" target="_blank">浙江</a> ,由 <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1007/" title="浙江省" class="c1" target="_blank">浙江省</a> <a href="/tags/1091/" title="台州" class="c1" target="_blank">台州</a> <a href="/tags/1185/" title="浙江" class="c1" target="_blank">浙江</a> ,可得 <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1007/" title="浙江省" class="c1" target="_blank">浙江省</a> <a href="/tags/1091/" title="台州" class="c1" target="_blank">台州</a> <a href="/tags/1185/" title="浙江" class="c1" target="_blank">浙江</a> ,由 <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1007/" title="浙江省" class="c1" target="_blank">浙江省</a> <a href="/tags/1091/" title="台州" class="c1" target="_blank">台州</a> <a href="/tags/1185/" title="浙江" class="c1" target="_blank">浙江</a> ,可得 <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1007/" title="浙江省" class="c1" target="_blank">浙江省</a> <a href="/tags/1091/" title="台州" class="c1" target="_blank">台州</a> <a href="/tags/1185/" title="浙江" class="c1" target="_blank">浙江</a> ,由 <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1007/" title="浙江省" class="c1" target="_blank">浙江省</a> <a href="/tags/1091/" title="台州" class="c1" target="_blank">台州</a> <a href="/tags/1185/" title="浙江" class="c1" target="_blank">浙江</a> ,推出 <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1007/" title="浙江省" class="c1" target="_blank">浙江省</a> <a href="/tags/1091/" title="台州" class="c1" target="_blank">台州</a> <a href="/tags/1185/" title="浙江" class="c1" target="_blank">浙江</a> ,由此构建方程求解即可.

【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/1091/" title="台州" class="c1" target="_blank">台州</a> <a href="/tags/1185/" title="浙江" class="c1" target="_blank">浙江</a>  <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1007/" title="浙江省" class="c1" target="_blank">浙江省</a> <a href="/tags/1091/" title="台州" class="c1" target="_blank">台州</a> <a href="/tags/1185/" title="浙江" class="c1" target="_blank">浙江</a>

 <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1007/" title="浙江省" class="c1" target="_blank">浙江省</a> <a href="/tags/1091/" title="台州" class="c1" target="_blank">台州</a> <a href="/tags/1185/" title="浙江" class="c1" target="_blank">浙江</a>

 <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1007/" title="浙江省" class="c1" target="_blank">浙江省</a> <a href="/tags/1091/" title="台州" class="c1" target="_blank">台州</a> <a href="/tags/1185/" title="浙江" class="c1" target="_blank">浙江</a>

 <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1007/" title="浙江省" class="c1" target="_blank">浙江省</a> <a href="/tags/1091/" title="台州" class="c1" target="_blank">台州</a> <a href="/tags/1185/" title="浙江" class="c1" target="_blank">浙江</a> 是直角三角形.


2)证明: <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1007/" title="浙江省" class="c1" target="_blank">浙江省</a> <a href="/tags/1091/" title="台州" class="c1" target="_blank">台州</a> <a href="/tags/1185/" title="浙江" class="c1" target="_blank">浙江</a>

 <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1007/" title="浙江省" class="c1" target="_blank">浙江省</a> <a href="/tags/1091/" title="台州" class="c1" target="_blank">台州</a> <a href="/tags/1185/" title="浙江" class="c1" target="_blank">浙江</a>

 <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1007/" title="浙江省" class="c1" target="_blank">浙江省</a> <a href="/tags/1091/" title="台州" class="c1" target="_blank">台州</a> <a href="/tags/1185/" title="浙江" class="c1" target="_blank">浙江</a>

 <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1007/" title="浙江省" class="c1" target="_blank">浙江省</a> <a href="/tags/1091/" title="台州" class="c1" target="_blank">台州</a> <a href="/tags/1185/" title="浙江" class="c1" target="_blank">浙江</a>

 <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1007/" title="浙江省" class="c1" target="_blank">浙江省</a> <a href="/tags/1091/" title="台州" class="c1" target="_blank">台州</a> <a href="/tags/1185/" title="浙江" class="c1" target="_blank">浙江</a>  <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1007/" title="浙江省" class="c1" target="_blank">浙江省</a> <a href="/tags/1091/" title="台州" class="c1" target="_blank">台州</a> <a href="/tags/1185/" title="浙江" class="c1" target="_blank">浙江</a>

 <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1007/" title="浙江省" class="c1" target="_blank">浙江省</a> <a href="/tags/1091/" title="台州" class="c1" target="_blank">台州</a> <a href="/tags/1185/" title="浙江" class="c1" target="_blank">浙江</a>

 <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1007/" title="浙江省" class="c1" target="_blank">浙江省</a> <a href="/tags/1091/" title="台州" class="c1" target="_blank">台州</a> <a href="/tags/1185/" title="浙江" class="c1" target="_blank">浙江</a>

 <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1007/" title="浙江省" class="c1" target="_blank">浙江省</a> <a href="/tags/1091/" title="台州" class="c1" target="_blank">台州</a> <a href="/tags/1185/" title="浙江" class="c1" target="_blank">浙江</a>

 <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1007/" title="浙江省" class="c1" target="_blank">浙江省</a> <a href="/tags/1091/" title="台州" class="c1" target="_blank">台州</a> <a href="/tags/1185/" title="浙江" class="c1" target="_blank">浙江</a>

 <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1007/" title="浙江省" class="c1" target="_blank">浙江省</a> <a href="/tags/1091/" title="台州" class="c1" target="_blank">台州</a> <a href="/tags/1185/" title="浙江" class="c1" target="_blank">浙江</a>

 <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1007/" title="浙江省" class="c1" target="_blank">浙江省</a> <a href="/tags/1091/" title="台州" class="c1" target="_blank">台州</a> <a href="/tags/1185/" title="浙江" class="c1" target="_blank">浙江</a>

 <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1007/" title="浙江省" class="c1" target="_blank">浙江省</a> <a href="/tags/1091/" title="台州" class="c1" target="_blank">台州</a> <a href="/tags/1185/" title="浙江" class="c1" target="_blank">浙江</a>


3)解:设 <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1007/" title="浙江省" class="c1" target="_blank">浙江省</a> <a href="/tags/1091/" title="台州" class="c1" target="_blank">台州</a> <a href="/tags/1185/" title="浙江" class="c1" target="_blank">浙江</a>  <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1007/" title="浙江省" class="c1" target="_blank">浙江省</a> <a href="/tags/1091/" title="台州" class="c1" target="_blank">台州</a> <a href="/tags/1185/" title="浙江" class="c1" target="_blank">浙江</a>  <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1007/" title="浙江省" class="c1" target="_blank">浙江省</a> <a href="/tags/1091/" title="台州" class="c1" target="_blank">台州</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/1091/" title="台州" class="c1" target="_blank">台州</a> <a href="/tags/1185/" title="浙江" class="c1" target="_blank">浙江</a>

 <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1007/" title="浙江省" class="c1" target="_blank">浙江省</a> <a href="/tags/1091/" title="台州" class="c1" target="_blank">台州</a> <a href="/tags/1185/" title="浙江" class="c1" target="_blank">浙江</a>  <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1007/" title="浙江省" class="c1" target="_blank">浙江省</a> <a href="/tags/1091/" title="台州" class="c1" target="_blank">台州</a> <a href="/tags/1185/" title="浙江" class="c1" target="_blank">浙江</a> 互相平分,

 <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/1091/" title="台州" class="c1" target="_blank">台州</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/1091/" title="台州" class="c1" target="_blank">台州</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/1091/" title="台州" class="c1" target="_blank">台州</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/1091/" title="台州" class="c1" target="_blank">台州</a> <a href="/tags/1185/" title="浙江" class="c1" target="_blank">浙江</a>

 <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1007/" title="浙江省" class="c1" target="_blank">浙江省</a> <a href="/tags/1091/" title="台州" class="c1" target="_blank">台州</a> <a href="/tags/1185/" title="浙江" class="c1" target="_blank">浙江</a>

 <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1007/" title="浙江省" class="c1" target="_blank">浙江省</a> <a href="/tags/1091/" title="台州" class="c1" target="_blank">台州</a> <a href="/tags/1185/" title="浙江" class="c1" target="_blank">浙江</a>

 <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1007/" title="浙江省" class="c1" target="_blank">浙江省</a> <a href="/tags/1091/" title="台州" class="c1" target="_blank">台州</a> <a href="/tags/1185/" title="浙江" class="c1" target="_blank">浙江</a>

 <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1007/" title="浙江省" class="c1" target="_blank">浙江省</a> <a href="/tags/1091/" title="台州" class="c1" target="_blank">台州</a> <a href="/tags/1185/" title="浙江" class="c1" target="_blank">浙江</a>

 <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1007/" title="浙江省" class="c1" target="_blank">浙江省</a> <a href="/tags/1091/" title="台州" class="c1" target="_blank">台州</a> <a href="/tags/1185/" title="浙江" class="c1" target="_blank">浙江</a>

 <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1007/" title="浙江省" class="c1" target="_blank">浙江省</a> <a href="/tags/1091/" title="台州" class="c1" target="_blank">台州</a> <a href="/tags/1185/" title="浙江" class="c1" target="_blank">浙江</a>

 <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1007/" title="浙江省" class="c1" target="_blank">浙江省</a> <a href="/tags/1091/" title="台州" class="c1" target="_blank">台州</a> <a href="/tags/1185/" title="浙江" class="c1" target="_blank">浙江</a>

 <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1007/" title="浙江省" class="c1" target="_blank">浙江省</a> <a href="/tags/1091/" title="台州" class="c1" target="_blank">台州</a> <a href="/tags/1185/" title="浙江" class="c1" target="_blank">浙江</a>

 <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1007/" title="浙江省" class="c1" target="_blank">浙江省</a> <a href="/tags/1091/" title="台州" class="c1" target="_blank">台州</a> <a href="/tags/1185/" title="浙江" class="c1" target="_blank">浙江</a>

 <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1007/" title="浙江省" class="c1" target="_blank">浙江省</a> <a href="/tags/1091/" title="台州" class="c1" target="_blank">台州</a> <a href="/tags/1185/" title="浙江" class="c1" target="_blank">浙江</a>

 <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1007/" title="浙江省" class="c1" target="_blank">浙江省</a> <a href="/tags/1091/" title="台州" class="c1" target="_blank">台州</a> <a href="/tags/1185/" title="浙江" class="c1" target="_blank">浙江</a>

 <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1007/" title="浙江省" class="c1" target="_blank">浙江省</a> <a href="/tags/1091/" title="台州" class="c1" target="_blank">台州</a> <a href="/tags/1185/" title="浙江" class="c1" target="_blank">浙江</a>

 <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1007/" title="浙江省" class="c1" target="_blank">浙江省</a> <a href="/tags/1091/" title="台州" class="c1" target="_blank">台州</a> <a href="/tags/1185/" title="浙江" class="c1" target="_blank">浙江</a>

 <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1007/" title="浙江省" class="c1" target="_blank">浙江省</a> <a href="/tags/1091/" title="台州" class="c1" target="_blank">台州</a> <a href="/tags/1185/" title="浙江" class="c1" target="_blank">浙江</a>  <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1007/" title="浙江省" class="c1" target="_blank">浙江省</a> <a href="/tags/1091/" title="台州" class="c1" target="_blank">台州</a> <a href="/tags/1185/" title="浙江" class="c1" target="_blank">浙江</a>

 <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1007/" title="浙江省" class="c1" target="_blank">浙江省</a> <a href="/tags/1091/" title="台州" class="c1" target="_blank">台州</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/1091/" title="台州" class="c1" target="_blank">台州</a> <a href="/tags/1185/" title="浙江" class="c1" target="_blank">浙江</a> (负根已经舍弃).

Shape47

【点评】本题属于圆综合题,考查了圆周角定理,相似三角形的判定和性质平行四边形的判定和性质等知识,解题的关键是学会利用参数构建方程解决问题,属于中考压轴题.

24.(14分)用各种盛水容器可以制作精致的家用流水景观(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/1091/" title="台州" class="c1" target="_blank">台州</a> <a href="/tags/1185/" title="浙江" class="c1" target="_blank">浙江</a>

科学原理:如图2,始终盛满水的圆体水桶水面离地面的高度为 <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/1091/" title="台州" class="c1" target="_blank">台州</a> <a href="/tags/1185/" title="浙江" class="c1" target="_blank">浙江</a> (单位: <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/1091/" title="台州" class="c1" target="_blank">台州</a> <a href="/tags/1185/" title="浙江" class="c1" target="_blank">浙江</a> ,如果在离水面竖直距离为 <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1007/" title="浙江省" class="c1" target="_blank">浙江省</a> <a href="/tags/1091/" title="台州" class="c1" target="_blank">台州</a> <a href="/tags/1185/" title="浙江" class="c1" target="_blank">浙江</a> (单位: <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/1091/" title="台州" class="c1" target="_blank">台州</a> <a href="/tags/1185/" title="浙江" class="c1" target="_blank">浙江</a> 的地方开大小合适的小孔,那么从小孔射出水的射程(水流落地点离小孔的水平距离) <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1007/" title="浙江省" class="c1" target="_blank">浙江省</a> <a href="/tags/1091/" title="台州" class="c1" target="_blank">台州</a> <a href="/tags/1185/" title="浙江" class="c1" target="_blank">浙江</a> (单位: <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/1091/" title="台州" class="c1" target="_blank">台州</a> <a href="/tags/1185/" title="浙江" class="c1" target="_blank">浙江</a>  <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1007/" title="浙江省" class="c1" target="_blank">浙江省</a> <a href="/tags/1091/" title="台州" class="c1" target="_blank">台州</a> <a href="/tags/1185/" title="浙江" class="c1" target="_blank">浙江</a> 的关系为 <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/1091/" title="台州" class="c1" target="_blank">台州</a> <a href="/tags/1185/" title="浙江" class="c1" target="_blank">浙江</a>

Shape48

应用思考:现用高度为 <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/1091/" title="台州" class="c1" target="_blank">台州</a> <a href="/tags/1185/" title="浙江" class="c1" target="_blank">浙江</a> 的圆柱体望料水瓶做相关研究,水瓶直立地面,通过连注水保证它始终盛满水,在离水面竖直距高 <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/1091/" title="台州" class="c1" target="_blank">台州</a> <a href="/tags/1185/" title="浙江" class="c1" target="_blank">浙江</a> 处开一个小孔.

1)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/1091/" title="台州" class="c1" target="_blank">台州</a> <a href="/tags/1185/" title="浙江" class="c1" target="_blank">浙江</a>  <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1007/" title="浙江省" class="c1" target="_blank">浙江省</a> <a href="/tags/1091/" title="台州" class="c1" target="_blank">台州</a> <a href="/tags/1185/" title="浙江" class="c1" target="_blank">浙江</a> 的关系式;并求出当 <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1007/" title="浙江省" class="c1" target="_blank">浙江省</a> <a href="/tags/1091/" title="台州" class="c1" target="_blank">台州</a> <a href="/tags/1185/" title="浙江" class="c1" target="_blank">浙江</a> 为何值时,射程 <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/1091/" title="台州" class="c1" target="_blank">台州</a> <a href="/tags/1185/" title="浙江" class="c1" target="_blank">浙江</a> 有最大值,最大射程是多少?

2)在侧面开两个小孔,这两个小孔离水面的竖直距离分别为 <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1007/" title="浙江省" class="c1" target="_blank">浙江省</a> <a href="/tags/1091/" title="台州" class="c1" target="_blank">台州</a> <a href="/tags/1185/" title="浙江" class="c1" target="_blank">浙江</a>  <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1007/" title="浙江省" class="c1" target="_blank">浙江省</a> <a href="/tags/1091/" title="台州" class="c1" target="_blank">台州</a> <a href="/tags/1185/" title="浙江" class="c1" target="_blank">浙江</a> ,要使两孔射出水的射程相同,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/1091/" title="台州" class="c1" target="_blank">台州</a> <a href="/tags/1185/" title="浙江" class="c1" target="_blank">浙江</a>  <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1007/" title="浙江省" class="c1" target="_blank">浙江省</a> <a href="/tags/1091/" title="台州" class="c1" target="_blank">台州</a> <a href="/tags/1185/" title="浙江" class="c1" target="_blank">浙江</a> 之间的关系式;

3)如果想通过垫高塑料水瓶,使射出水的最大射程增加 <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1007/" title="浙江省" class="c1" target="_blank">浙江省</a> <a href="/tags/1091/" title="台州" class="c1" target="_blank">台州</a> <a href="/tags/1185/" title="浙江" class="c1" target="_blank">浙江</a> ,求整高的高度及小孔离水面的竖直距离.

【分析】1)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/1091/" title="台州" class="c1" target="_blank">台州</a> <a href="/tags/1185/" title="浙江" class="c1" target="_blank">浙江</a> 写成顶点式,按照二次函数的性质得出 <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1007/" title="浙江省" class="c1" target="_blank">浙江省</a> <a href="/tags/1091/" title="台州" class="c1" target="_blank">台州</a> <a href="/tags/1185/" title="浙江" class="c1" target="_blank">浙江</a> 的最大值,再求 <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/1091/" title="台州" class="c1" target="_blank">台州</a> <a href="/tags/1185/" title="浙江" class="c1" target="_blank">浙江</a> 的算术平方根即可;

2)设存在 <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/1091/" title="台州" class="c1" target="_blank">台州</a> <a href="/tags/1185/" title="浙江" class="c1" target="_blank">浙江</a>  <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1007/" title="浙江省" class="c1" target="_blank">浙江省</a> <a href="/tags/1091/" title="台州" class="c1" target="_blank">台州</a> <a href="/tags/1185/" title="浙江" class="c1" target="_blank">浙江</a> ,使两孔射出水的射程相同,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/1091/" title="台州" class="c1" target="_blank">台州</a> <a href="/tags/1185/" title="浙江" class="c1" target="_blank">浙江</a> ,利用因式分解变形即可得出答案;

3)设垫高的高度为 <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/1091/" title="台州" class="c1" target="_blank">台州</a> <a href="/tags/1185/" title="浙江" class="c1" target="_blank">浙江</a> ,写出此时 <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/1091/" title="台州" class="c1" target="_blank">台州</a> <a href="/tags/1185/" title="浙江" class="c1" target="_blank">浙江</a> 关于 <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1007/" title="浙江省" class="c1" target="_blank">浙江省</a> <a href="/tags/1091/" title="台州" class="c1" target="_blank">台州</a> <a href="/tags/1185/" title="浙江" class="c1" target="_blank">浙江</a> 的函数关系式,根据二次函数的性质可得答案.

【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/1091/" title="台州" class="c1" target="_blank">台州</a> <a href="/tags/1185/" title="浙江" class="c1" target="_blank">浙江</a>

 <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1007/" title="浙江省" class="c1" target="_blank">浙江省</a> <a href="/tags/1091/" title="台州" class="c1" target="_blank">台州</a> <a href="/tags/1185/" title="浙江" class="c1" target="_blank">浙江</a>  <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1007/" title="浙江省" class="c1" target="_blank">浙江省</a> <a href="/tags/1091/" title="台州" class="c1" target="_blank">台州</a> <a href="/tags/1185/" title="浙江" class="c1" target="_blank">浙江</a> 时, <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1007/" title="浙江省" class="c1" target="_blank">浙江省</a> <a href="/tags/1091/" title="台州" class="c1" target="_blank">台州</a> <a href="/tags/1185/" title="浙江" class="c1" target="_blank">浙江</a>

 <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1007/" title="浙江省" class="c1" target="_blank">浙江省</a> <a href="/tags/1091/" title="台州" class="c1" target="_blank">台州</a> <a href="/tags/1185/" title="浙江" class="c1" target="_blank">浙江</a>  <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1007/" title="浙江省" class="c1" target="_blank">浙江省</a> <a href="/tags/1091/" title="台州" class="c1" target="_blank">台州</a> <a href="/tags/1185/" title="浙江" class="c1" target="_blank">浙江</a> 时, <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1007/" title="浙江省" class="c1" target="_blank">浙江省</a> <a href="/tags/1091/" title="台州" class="c1" target="_blank">台州</a> <a href="/tags/1185/" title="浙江" class="c1" target="_blank">浙江</a> 有最大值400

 <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1007/" title="浙江省" class="c1" target="_blank">浙江省</a> <a href="/tags/1091/" title="台州" class="c1" target="_blank">台州</a> <a href="/tags/1185/" title="浙江" class="c1" target="_blank">浙江</a>  <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1007/" title="浙江省" class="c1" target="_blank">浙江省</a> <a href="/tags/1091/" title="台州" class="c1" target="_blank">台州</a> <a href="/tags/1185/" title="浙江" class="c1" target="_blank">浙江</a> 时, <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1007/" title="浙江省" class="c1" target="_blank">浙江省</a> <a href="/tags/1091/" title="台州" class="c1" target="_blank">台州</a> <a href="/tags/1185/" title="浙江" class="c1" target="_blank">浙江</a> 有最大值 <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/1091/" title="台州" class="c1" target="_blank">台州</a> <a href="/tags/1185/" title="浙江" class="c1" target="_blank">浙江</a>

 <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1007/" title="浙江省" class="c1" target="_blank">浙江省</a> <a href="/tags/1091/" title="台州" class="c1" target="_blank">台州</a> <a href="/tags/1185/" title="浙江" class="c1" target="_blank">浙江</a>  <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1007/" title="浙江省" class="c1" target="_blank">浙江省</a> <a href="/tags/1091/" title="台州" class="c1" target="_blank">台州</a> <a href="/tags/1185/" title="浙江" class="c1" target="_blank">浙江</a> 为何值时,射程 <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/1091/" title="台州" class="c1" target="_blank">台州</a> <a href="/tags/1185/" title="浙江" class="c1" target="_blank">浙江</a> 有最大值,最大射程是 <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/1091/" title="台州" class="c1" target="_blank">台州</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/1091/" title="台州" class="c1" target="_blank">台州</a> <a href="/tags/1185/" title="浙江" class="c1" target="_blank">浙江</a>

设存在 <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/1091/" title="台州" class="c1" target="_blank">台州</a> <a href="/tags/1185/" title="浙江" class="c1" target="_blank">浙江</a>  <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1007/" title="浙江省" class="c1" target="_blank">浙江省</a> <a href="/tags/1091/" title="台州" class="c1" target="_blank">台州</a> <a href="/tags/1185/" title="浙江" class="c1" target="_blank">浙江</a> ,使两孔射出水的射程相同,则有:

 <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/1091/" title="台州" class="c1" target="_blank">台州</a> <a href="/tags/1185/" title="浙江" class="c1" target="_blank">浙江</a>

 <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1007/" title="浙江省" class="c1" target="_blank">浙江省</a> <a href="/tags/1091/" title="台州" class="c1" target="_blank">台州</a> <a href="/tags/1185/" title="浙江" class="c1" target="_blank">浙江</a>

 <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1007/" title="浙江省" class="c1" target="_blank">浙江省</a> <a href="/tags/1091/" title="台州" class="c1" target="_blank">台州</a> <a href="/tags/1185/" title="浙江" class="c1" target="_blank">浙江</a>

 <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1007/" title="浙江省" class="c1" target="_blank">浙江省</a> <a href="/tags/1091/" title="台州" class="c1" target="_blank">台州</a> <a href="/tags/1185/" title="浙江" class="c1" target="_blank">浙江</a>

 <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1007/" title="浙江省" class="c1" target="_blank">浙江省</a> <a href="/tags/1091/" title="台州" class="c1" target="_blank">台州</a> <a href="/tags/1185/" title="浙江" class="c1" target="_blank">浙江</a>

 <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1007/" title="浙江省" class="c1" target="_blank">浙江省</a> <a href="/tags/1091/" title="台州" class="c1" target="_blank">台州</a> <a href="/tags/1185/" title="浙江" class="c1" target="_blank">浙江</a> ,或 <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1007/" title="浙江省" class="c1" target="_blank">浙江省</a> <a href="/tags/1091/" title="台州" class="c1" target="_blank">台州</a> <a href="/tags/1185/" title="浙江" class="c1" target="_blank">浙江</a>

 <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1007/" title="浙江省" class="c1" target="_blank">浙江省</a> <a href="/tags/1091/" title="台州" class="c1" target="_blank">台州</a> <a href="/tags/1185/" title="浙江" class="c1" target="_blank">浙江</a>  <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1007/" title="浙江省" class="c1" target="_blank">浙江省</a> <a href="/tags/1091/" title="台州" class="c1" target="_blank">台州</a> <a href="/tags/1185/" title="浙江" class="c1" target="_blank">浙江</a>

3)设垫高的高度为 <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/1091/" title="台州" class="c1" target="_blank">台州</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/1091/" title="台州" class="c1" target="_blank">台州</a> <a href="/tags/1185/" title="浙江" class="c1" target="_blank">浙江</a>

 <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1007/" title="浙江省" class="c1" target="_blank">浙江省</a> <a href="/tags/1091/" title="台州" class="c1" target="_blank">台州</a> <a href="/tags/1185/" title="浙江" class="c1" target="_blank">浙江</a>  <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1007/" title="浙江省" class="c1" target="_blank">浙江省</a> <a href="/tags/1091/" title="台州" class="c1" target="_blank">台州</a> <a href="/tags/1185/" title="浙江" class="c1" target="_blank">浙江</a> 时, <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1007/" title="浙江省" class="c1" target="_blank">浙江省</a> <a href="/tags/1091/" title="台州" class="c1" target="_blank">台州</a> <a href="/tags/1185/" title="浙江" class="c1" target="_blank">浙江</a>

 <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1007/" title="浙江省" class="c1" target="_blank">浙江省</a> <a href="/tags/1091/" title="台州" class="c1" target="_blank">台州</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/1091/" title="台州" class="c1" target="_blank">台州</a> <a href="/tags/1185/" title="浙江" class="c1" target="_blank">浙江</a>

 <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1007/" title="浙江省" class="c1" target="_blank">浙江省</a> <a href="/tags/1091/" title="台州" class="c1" target="_blank">台州</a> <a href="/tags/1185/" title="浙江" class="c1" target="_blank">浙江</a> 垫高的高度为 <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/1091/" title="台州" class="c1" target="_blank">台州</a> <a href="/tags/1185/" title="浙江" class="c1" target="_blank">浙江</a> ,小孔离水面的竖直距离为 <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1007/" title="浙江省" class="c1" target="_blank">浙江省</a> <a href="/tags/1091/" title="台州" class="c1" target="_blank">台州</a> <a href="/tags/1185/" title="浙江" class="c1" target="_blank">浙江</a>

【点评】本题考查了二次函数在实际问题中的应用,理清题中的数量关系并明确二次函数的性质是解题的关键.