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【330282】2020年贵州省黔东南州中考数学试卷

时间:2025-02-09 10:44:13 作者: 字数:26578字

2020年贵州省黔东南州中考数学试卷

一、选择题(每小题4分,10个小题,共40分)

1.(4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/109/" title="东南" class="c1" target="_blank">东南</a> <a href="/tags/551/" title="贵州" class="c1" target="_blank">贵州</a> <a href="/tags/1022/" title="贵州省" class="c1" target="_blank">贵州省</a> 的倒数是 <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/109/" title="东南" class="c1" target="_blank">东南</a> <a href="/tags/551/" title="贵州" class="c1" target="_blank">贵州</a> <a href="/tags/1022/" title="贵州省" class="c1" target="_blank">贵州省</a>    <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/109/" title="东南" class="c1" target="_blank">东南</a> <a href="/tags/551/" title="贵州" class="c1" target="_blank">贵州</a> <a href="/tags/1022/" title="贵州省" class="c1" target="_blank">贵州省</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/109/" title="东南" class="c1" target="_blank">东南</a> <a href="/tags/551/" title="贵州" class="c1" target="_blank">贵州</a> <a href="/tags/1022/" title="贵州省" class="c1" target="_blank">贵州省</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/109/" title="东南" class="c1" target="_blank">东南</a> <a href="/tags/551/" title="贵州" class="c1" target="_blank">贵州</a> <a href="/tags/1022/" title="贵州省" class="c1" target="_blank">贵州省</a> C2020 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/109/" title="东南" class="c1" target="_blank">东南</a> <a href="/tags/551/" title="贵州" class="c1" target="_blank">贵州</a> <a href="/tags/1022/" title="贵州省" class="c1" target="_blank">贵州省</a>

2.(4分)下列运算正确的是 <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/109/" title="东南" class="c1" target="_blank">东南</a> <a href="/tags/551/" title="贵州" class="c1" target="_blank">贵州</a> <a href="/tags/1022/" title="贵州省" class="c1" target="_blank">贵州省</a>    <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/109/" title="东南" class="c1" target="_blank">东南</a> <a href="/tags/551/" title="贵州" class="c1" target="_blank">贵州</a> <a href="/tags/1022/" title="贵州省" class="c1" target="_blank">贵州省</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/109/" title="东南" class="c1" target="_blank">东南</a> <a href="/tags/551/" title="贵州" class="c1" target="_blank">贵州</a> <a href="/tags/1022/" title="贵州省" class="c1" target="_blank">贵州省</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/109/" title="东南" class="c1" target="_blank">东南</a> <a href="/tags/551/" title="贵州" class="c1" target="_blank">贵州</a> <a href="/tags/1022/" title="贵州省" class="c1" target="_blank">贵州省</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/109/" title="东南" class="c1" target="_blank">东南</a> <a href="/tags/551/" title="贵州" class="c1" target="_blank">贵州</a> <a href="/tags/1022/" title="贵州省" class="c1" target="_blank">贵州省</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/109/" title="东南" class="c1" target="_blank">东南</a> <a href="/tags/551/" title="贵州" class="c1" target="_blank">贵州</a> <a href="/tags/1022/" title="贵州省" class="c1" target="_blank">贵州省</a>

3.(4分)实数 <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/109/" title="东南" class="c1" target="_blank">东南</a> <a href="/tags/551/" title="贵州" class="c1" target="_blank">贵州</a> <a href="/tags/1022/" title="贵州省" class="c1" target="_blank">贵州省</a> 介于 <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/109/" title="东南" class="c1" target="_blank">东南</a> <a href="/tags/551/" title="贵州" class="c1" target="_blank">贵州</a> <a href="/tags/1022/" title="贵州省" class="c1" target="_blank">贵州省</a>    <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/109/" title="东南" class="c1" target="_blank">东南</a> <a href="/tags/551/" title="贵州" class="c1" target="_blank">贵州</a> <a href="/tags/1022/" title="贵州省" class="c1" target="_blank">贵州省</a>

A45之间 B56之间 C67之间 D78之间

4.(4分)已知关于 <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/109/" title="东南" class="c1" target="_blank">东南</a> <a href="/tags/551/" title="贵州" class="c1" target="_blank">贵州</a> <a href="/tags/1022/" title="贵州省" class="c1" target="_blank">贵州省</a> 的一元二次方程 <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/109/" title="东南" class="c1" target="_blank">东南</a> <a href="/tags/551/" title="贵州" class="c1" target="_blank">贵州</a> <a href="/tags/1022/" title="贵州省" class="c1" target="_blank">贵州省</a> 的一个根是2,则另一个根是 <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/109/" title="东南" class="c1" target="_blank">东南</a> <a href="/tags/551/" title="贵州" class="c1" target="_blank">贵州</a> <a href="/tags/1022/" title="贵州省" class="c1" target="_blank">贵州省</a>    <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/109/" title="东南" class="c1" target="_blank">东南</a> <a href="/tags/551/" title="贵州" class="c1" target="_blank">贵州</a> <a href="/tags/1022/" title="贵州省" class="c1" target="_blank">贵州省</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/109/" title="东南" class="c1" target="_blank">东南</a> <a href="/tags/551/" title="贵州" class="c1" target="_blank">贵州</a> <a href="/tags/1022/" title="贵州省" class="c1" target="_blank">贵州省</a> B7 C3 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/109/" title="东南" class="c1" target="_blank">东南</a> <a href="/tags/551/" title="贵州" class="c1" target="_blank">贵州</a> <a href="/tags/1022/" title="贵州省" class="c1" target="_blank">贵州省</a>

5.(4分)如图,将矩形 <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/109/" title="东南" class="c1" target="_blank">东南</a> <a href="/tags/551/" title="贵州" class="c1" target="_blank">贵州</a> <a href="/tags/1022/" title="贵州省" class="c1" target="_blank">贵州省</a> 沿 <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/109/" title="东南" class="c1" target="_blank">东南</a> <a href="/tags/551/" title="贵州" class="c1" target="_blank">贵州</a> <a href="/tags/1022/" title="贵州省" class="c1" target="_blank">贵州省</a> 折叠,使点 <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/109/" title="东南" class="c1" target="_blank">东南</a> <a href="/tags/551/" title="贵州" class="c1" target="_blank">贵州</a> <a href="/tags/1022/" title="贵州省" class="c1" target="_blank">贵州省</a> 落在点 <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/109/" title="东南" class="c1" target="_blank">东南</a> <a href="/tags/551/" title="贵州" class="c1" target="_blank">贵州</a> <a href="/tags/1022/" title="贵州省" class="c1" target="_blank">贵州省</a> 处, <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/109/" title="东南" class="c1" target="_blank">东南</a> <a href="/tags/551/" title="贵州" class="c1" target="_blank">贵州</a> <a href="/tags/1022/" title="贵州省" class="c1" target="_blank">贵州省</a>  <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/109/" title="东南" class="c1" target="_blank">东南</a> <a href="/tags/551/" title="贵州" class="c1" target="_blank">贵州</a> <a href="/tags/1022/" title="贵州省" class="c1" target="_blank">贵州省</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/109/" title="东南" class="c1" target="_blank">东南</a> <a href="/tags/551/" title="贵州" class="c1" target="_blank">贵州</a> <a href="/tags/1022/" title="贵州省" class="c1" target="_blank">贵州省</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/109/" title="东南" class="c1" target="_blank">东南</a> <a href="/tags/551/" title="贵州" class="c1" target="_blank">贵州</a> <a href="/tags/1022/" title="贵州省" class="c1" target="_blank">贵州省</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/109/" title="东南" class="c1" target="_blank">东南</a> <a href="/tags/551/" title="贵州" class="c1" target="_blank">贵州</a> <a href="/tags/1022/" title="贵州省" class="c1" target="_blank">贵州省</a> 等于 <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/109/" title="东南" class="c1" target="_blank">东南</a> <a href="/tags/551/" title="贵州" class="c1" target="_blank">贵州</a> <a href="/tags/1022/" title="贵州省" class="c1" target="_blank">贵州省</a>    <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/109/" title="东南" class="c1" target="_blank">东南</a> <a href="/tags/551/" title="贵州" class="c1" target="_blank">贵州</a> <a href="/tags/1022/" title="贵州省" class="c1" target="_blank">贵州省</a>

Shape1

A <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/109/" title="东南" class="c1" target="_blank">东南</a> <a href="/tags/551/" title="贵州" class="c1" target="_blank">贵州</a> <a href="/tags/1022/" title="贵州省" class="c1" target="_blank">贵州省</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/109/" title="东南" class="c1" target="_blank">东南</a> <a href="/tags/551/" title="贵州" class="c1" target="_blank">贵州</a> <a href="/tags/1022/" title="贵州省" class="c1" target="_blank">贵州省</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/109/" title="东南" class="c1" target="_blank">东南</a> <a href="/tags/551/" title="贵州" class="c1" target="_blank">贵州</a> <a href="/tags/1022/" title="贵州省" class="c1" target="_blank">贵州省</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/109/" title="东南" class="c1" target="_blank">东南</a> <a href="/tags/551/" title="贵州" class="c1" target="_blank">贵州</a> <a href="/tags/1022/" title="贵州省" class="c1" target="_blank">贵州省</a>

6.(4分)桌上摆着一个由若干个相同的小正方体组成的几何体,其主视图和左视图如图所示,则组成这个几何体的小正方体的个数最多有 <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/109/" title="东南" class="c1" target="_blank">东南</a> <a href="/tags/551/" title="贵州" class="c1" target="_blank">贵州</a> <a href="/tags/1022/" title="贵州省" class="c1" target="_blank">贵州省</a>    <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/109/" title="东南" class="c1" target="_blank">东南</a> <a href="/tags/551/" title="贵州" class="c1" target="_blank">贵州</a> <a href="/tags/1022/" title="贵州省" class="c1" target="_blank">贵州省</a>

Shape2

A12 B8 C14 D13

7.(4分)如图, <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/109/" title="东南" class="c1" target="_blank">东南</a> <a href="/tags/551/" title="贵州" class="c1" target="_blank">贵州</a> <a href="/tags/1022/" title="贵州省" class="c1" target="_blank">贵州省</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/109/" title="东南" class="c1" target="_blank">东南</a> <a href="/tags/551/" title="贵州" class="c1" target="_blank">贵州</a> <a href="/tags/1022/" title="贵州省" class="c1" target="_blank">贵州省</a>  <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/109/" title="东南" class="c1" target="_blank">东南</a> <a href="/tags/551/" title="贵州" class="c1" target="_blank">贵州</a> <a href="/tags/1022/" title="贵州省" class="c1" target="_blank">贵州省</a>  <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/109/" title="东南" class="c1" target="_blank">东南</a> <a href="/tags/551/" title="贵州" class="c1" target="_blank">贵州</a> <a href="/tags/1022/" title="贵州省" class="c1" target="_blank">贵州省</a> 的弦, <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/109/" title="东南" class="c1" target="_blank">东南</a> <a href="/tags/551/" title="贵州" class="c1" target="_blank">贵州</a> <a href="/tags/1022/" title="贵州省" class="c1" target="_blank">贵州省</a> ,垂足为 <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/109/" title="东南" class="c1" target="_blank">东南</a> <a href="/tags/551/" title="贵州" class="c1" target="_blank">贵州</a> <a href="/tags/1022/" title="贵州省" class="c1" target="_blank">贵州省</a>  <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/109/" title="东南" class="c1" target="_blank">东南</a> <a href="/tags/551/" title="贵州" class="c1" target="_blank">贵州</a> <a href="/tags/1022/" title="贵州省" class="c1" target="_blank">贵州省</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/109/" title="东南" class="c1" target="_blank">东南</a> <a href="/tags/551/" title="贵州" class="c1" target="_blank">贵州</a> <a href="/tags/1022/" title="贵州省" class="c1" target="_blank">贵州省</a> 的长为 <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/109/" title="东南" class="c1" target="_blank">东南</a> <a href="/tags/551/" title="贵州" class="c1" target="_blank">贵州</a> <a href="/tags/1022/" title="贵州省" class="c1" target="_blank">贵州省</a>    <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/109/" title="东南" class="c1" target="_blank">东南</a> <a href="/tags/551/" title="贵州" class="c1" target="_blank">贵州</a> <a href="/tags/1022/" title="贵州省" class="c1" target="_blank">贵州省</a>

Shape3

A8 B12 C16 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/109/" title="东南" class="c1" target="_blank">东南</a> <a href="/tags/551/" title="贵州" class="c1" target="_blank">贵州</a> <a href="/tags/1022/" title="贵州省" class="c1" target="_blank">贵州省</a>

8.(4分)若菱形 <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/109/" title="东南" class="c1" target="_blank">东南</a> <a href="/tags/551/" title="贵州" class="c1" target="_blank">贵州</a> <a href="/tags/1022/" title="贵州省" class="c1" target="_blank">贵州省</a> 的一条对角线长为8,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/109/" title="东南" class="c1" target="_blank">东南</a> <a href="/tags/551/" title="贵州" class="c1" target="_blank">贵州</a> <a href="/tags/1022/" title="贵州省" class="c1" target="_blank">贵州省</a> 的长是方程 <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/109/" title="东南" class="c1" target="_blank">东南</a> <a href="/tags/551/" title="贵州" class="c1" target="_blank">贵州</a> <a href="/tags/1022/" title="贵州省" class="c1" target="_blank">贵州省</a> 的一个根,则该菱形 <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/109/" title="东南" class="c1" target="_blank">东南</a> <a href="/tags/551/" title="贵州" class="c1" target="_blank">贵州</a> <a href="/tags/1022/" title="贵州省" class="c1" target="_blank">贵州省</a> 的周长为 <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/109/" title="东南" class="c1" target="_blank">东南</a> <a href="/tags/551/" title="贵州" class="c1" target="_blank">贵州</a> <a href="/tags/1022/" title="贵州省" class="c1" target="_blank">贵州省</a>    <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/109/" title="东南" class="c1" target="_blank">东南</a> <a href="/tags/551/" title="贵州" class="c1" target="_blank">贵州</a> <a href="/tags/1022/" title="贵州省" class="c1" target="_blank">贵州省</a>

A16 B24 C1624 D48

9.(4分)如图,点 <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/109/" title="东南" class="c1" target="_blank">东南</a> <a href="/tags/551/" title="贵州" class="c1" target="_blank">贵州</a> <a href="/tags/1022/" title="贵州省" class="c1" target="_blank">贵州省</a> 是反比例函数 <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/109/" title="东南" class="c1" target="_blank">东南</a> <a href="/tags/551/" title="贵州" class="c1" target="_blank">贵州</a> <a href="/tags/1022/" title="贵州省" class="c1" target="_blank">贵州省</a> 上的一点,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/109/" title="东南" class="c1" target="_blank">东南</a> <a href="/tags/551/" title="贵州" class="c1" target="_blank">贵州</a> <a href="/tags/1022/" title="贵州省" class="c1" target="_blank">贵州省</a>  <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/109/" title="东南" class="c1" target="_blank">东南</a> <a href="/tags/551/" title="贵州" class="c1" target="_blank">贵州</a> <a href="/tags/1022/" title="贵州省" class="c1" target="_blank">贵州省</a> 轴,垂足为点 <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/109/" title="东南" class="c1" target="_blank">东南</a> <a href="/tags/551/" title="贵州" class="c1" target="_blank">贵州</a> <a href="/tags/1022/" title="贵州省" class="c1" target="_blank">贵州省</a>  <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/109/" title="东南" class="c1" target="_blank">东南</a> <a href="/tags/551/" title="贵州" class="c1" target="_blank">贵州</a> <a href="/tags/1022/" title="贵州省" class="c1" target="_blank">贵州省</a> 交反比例函数 <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/109/" title="东南" class="c1" target="_blank">东南</a> <a href="/tags/551/" title="贵州" class="c1" target="_blank">贵州</a> <a href="/tags/1022/" title="贵州省" class="c1" target="_blank">贵州省</a> 的图象于点 <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/109/" title="东南" class="c1" target="_blank">东南</a> <a href="/tags/551/" title="贵州" class="c1" target="_blank">贵州</a> <a href="/tags/1022/" title="贵州省" class="c1" target="_blank">贵州省</a> ,点 <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/109/" title="东南" class="c1" target="_blank">东南</a> <a href="/tags/551/" title="贵州" class="c1" target="_blank">贵州</a> <a href="/tags/1022/" title="贵州省" class="c1" target="_blank">贵州省</a>  <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/109/" title="东南" class="c1" target="_blank">东南</a> <a href="/tags/551/" title="贵州" class="c1" target="_blank">贵州</a> <a href="/tags/1022/" title="贵州省" class="c1" target="_blank">贵州省</a> 轴上的动点,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/109/" title="东南" class="c1" target="_blank">东南</a> <a href="/tags/551/" title="贵州" class="c1" target="_blank">贵州</a> <a href="/tags/1022/" title="贵州省" class="c1" target="_blank">贵州省</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/109/" title="东南" class="c1" target="_blank">东南</a> <a href="/tags/551/" title="贵州" class="c1" target="_blank">贵州</a> <a href="/tags/1022/" title="贵州省" class="c1" target="_blank">贵州省</a>    <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/109/" title="东南" class="c1" target="_blank">东南</a> <a href="/tags/551/" title="贵州" class="c1" target="_blank">贵州</a> <a href="/tags/1022/" title="贵州省" class="c1" target="_blank">贵州省</a>

Shape4

A2 B4 C6 D8

10.(4分)如图,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/109/" title="东南" class="c1" target="_blank">东南</a> <a href="/tags/551/" title="贵州" class="c1" target="_blank">贵州</a> <a href="/tags/1022/" title="贵州省" class="c1" target="_blank">贵州省</a> 的边长为2 <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/109/" title="东南" class="c1" target="_blank">东南</a> <a href="/tags/551/" title="贵州" class="c1" target="_blank">贵州</a> <a href="/tags/1022/" title="贵州省" class="c1" target="_blank">贵州省</a> 为对角线的交点,点 <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/109/" title="东南" class="c1" target="_blank">东南</a> <a href="/tags/551/" title="贵州" class="c1" target="_blank">贵州</a> <a href="/tags/1022/" title="贵州省" class="c1" target="_blank">贵州省</a>  <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/109/" title="东南" class="c1" target="_blank">东南</a> <a href="/tags/551/" title="贵州" class="c1" target="_blank">贵州</a> <a href="/tags/1022/" title="贵州省" class="c1" target="_blank">贵州省</a> 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/109/" title="东南" class="c1" target="_blank">东南</a> <a href="/tags/551/" title="贵州" class="c1" target="_blank">贵州</a> <a href="/tags/1022/" title="贵州省" class="c1" target="_blank">贵州省</a>  <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/109/" title="东南" class="c1" target="_blank">东南</a> <a href="/tags/551/" title="贵州" class="c1" target="_blank">贵州</a> <a href="/tags/1022/" title="贵州省" class="c1" target="_blank">贵州省</a> 的中点.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/109/" title="东南" class="c1" target="_blank">东南</a> <a href="/tags/551/" title="贵州" class="c1" target="_blank">贵州</a> <a href="/tags/1022/" title="贵州省" class="c1" target="_blank">贵州省</a> 为圆心,2为半径作圆弧 <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/109/" title="东南" class="c1" target="_blank">东南</a> <a href="/tags/551/" title="贵州" class="c1" target="_blank">贵州</a> <a href="/tags/1022/" title="贵州省" class="c1" target="_blank">贵州省</a> ,再分别以 <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/109/" title="东南" class="c1" target="_blank">东南</a> <a href="/tags/551/" title="贵州" class="c1" target="_blank">贵州</a> <a href="/tags/1022/" title="贵州省" class="c1" target="_blank">贵州省</a>  <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/109/" title="东南" class="c1" target="_blank">东南</a> <a href="/tags/551/" title="贵州" class="c1" target="_blank">贵州</a> <a href="/tags/1022/" title="贵州省" class="c1" target="_blank">贵州省</a> 为圆心,1为半径作圆弧 <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/109/" title="东南" class="c1" target="_blank">东南</a> <a href="/tags/551/" title="贵州" class="c1" target="_blank">贵州</a> <a href="/tags/1022/" title="贵州省" class="c1" target="_blank">贵州省</a>  <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/109/" title="东南" class="c1" target="_blank">东南</a> <a href="/tags/551/" title="贵州" class="c1" target="_blank">贵州</a> <a href="/tags/1022/" title="贵州省" class="c1" target="_blank">贵州省</a> ,则图中阴影部分的面积为 <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/109/" title="东南" class="c1" target="_blank">东南</a> <a href="/tags/551/" title="贵州" class="c1" target="_blank">贵州</a> <a href="/tags/1022/" title="贵州省" class="c1" target="_blank">贵州省</a>    <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/109/" title="东南" class="c1" target="_blank">东南</a> <a href="/tags/551/" title="贵州" class="c1" target="_blank">贵州</a> <a href="/tags/1022/" title="贵州省" class="c1" target="_blank">贵州省</a>

Shape5

A <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/109/" title="东南" class="c1" target="_blank">东南</a> <a href="/tags/551/" title="贵州" class="c1" target="_blank">贵州</a> <a href="/tags/1022/" title="贵州省" class="c1" target="_blank">贵州省</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/109/" title="东南" class="c1" target="_blank">东南</a> <a href="/tags/551/" title="贵州" class="c1" target="_blank">贵州</a> <a href="/tags/1022/" title="贵州省" class="c1" target="_blank">贵州省</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/109/" title="东南" class="c1" target="_blank">东南</a> <a href="/tags/551/" title="贵州" class="c1" target="_blank">贵州</a> <a href="/tags/1022/" title="贵州省" class="c1" target="_blank">贵州省</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/109/" title="东南" class="c1" target="_blank">东南</a> <a href="/tags/551/" title="贵州" class="c1" target="_blank">贵州</a> <a href="/tags/1022/" title="贵州省" class="c1" target="_blank">贵州省</a>

二.填空题:(每小题3分,10个小题,共30分)

11.(3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/109/" title="东南" class="c1" target="_blank">东南</a> <a href="/tags/551/" title="贵州" class="c1" target="_blank">贵州</a> <a href="/tags/1022/" title="贵州省" class="c1" target="_blank">贵州省</a>   

12.(3分)2020年以来,新冠肺炎橫行,全球经济遭受巨大损失,人民生命安全受到巨大威胁.截止6月份,全球确诊人数约3200000人,其中3200000用科学记数法表示为  

13.(3分)在实数范围内分解因式: <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/109/" title="东南" class="c1" target="_blank">东南</a> <a href="/tags/551/" title="贵州" class="c1" target="_blank">贵州</a> <a href="/tags/1022/" title="贵州省" class="c1" target="_blank">贵州省</a>   

14.(3分)不等式组 <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/109/" title="东南" class="c1" target="_blank">东南</a> <a href="/tags/551/" title="贵州" class="c1" target="_blank">贵州</a> <a href="/tags/1022/" title="贵州省" class="c1" target="_blank">贵州省</a> 的解集为  

15.(3分)把直线 <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/109/" title="东南" class="c1" target="_blank">东南</a> <a href="/tags/551/" title="贵州" class="c1" target="_blank">贵州</a> <a href="/tags/1022/" title="贵州省" class="c1" target="_blank">贵州省</a> 向左平移1个单位长度,再向上平移2个单位长度,则平移后所得直线的解析式为  

16.(3分)抛物线 <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/109/" title="东南" class="c1" target="_blank">东南</a> <a href="/tags/551/" title="贵州" class="c1" target="_blank">贵州</a> <a href="/tags/1022/" title="贵州省" class="c1" target="_blank">贵州省</a> 的部分图象如图所示,其与 <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/109/" title="东南" class="c1" target="_blank">东南</a> <a href="/tags/551/" title="贵州" class="c1" target="_blank">贵州</a> <a href="/tags/1022/" title="贵州省" class="c1" target="_blank">贵州省</a> 轴的一个交点坐标为 <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/109/" title="东南" class="c1" target="_blank">东南</a> <a href="/tags/551/" title="贵州" class="c1" target="_blank">贵州</a> <a href="/tags/1022/" title="贵州省" class="c1" target="_blank">贵州省</a> ,对称轴为 <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/109/" title="东南" class="c1" target="_blank">东南</a> <a href="/tags/551/" title="贵州" class="c1" target="_blank">贵州</a> <a href="/tags/1022/" title="贵州省" class="c1" target="_blank">贵州省</a> ,则当 <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/109/" title="东南" class="c1" target="_blank">东南</a> <a href="/tags/551/" title="贵州" class="c1" target="_blank">贵州</a> <a href="/tags/1022/" title="贵州省" class="c1" target="_blank">贵州省</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/109/" title="东南" class="c1" target="_blank">东南</a> <a href="/tags/551/" title="贵州" class="c1" target="_blank">贵州</a> <a href="/tags/1022/" title="贵州省" class="c1" target="_blank">贵州省</a> 的取值范围是  

Shape6

17.(3分)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/109/" title="东南" class="c1" target="_blank">东南</a> <a href="/tags/551/" title="贵州" class="c1" target="_blank">贵州</a> <a href="/tags/1022/" title="贵州省" class="c1" target="_blank">贵州省</a> 对角线的交点 <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/109/" title="东南" class="c1" target="_blank">东南</a> <a href="/tags/551/" title="贵州" class="c1" target="_blank">贵州</a> <a href="/tags/1022/" title="贵州省" class="c1" target="_blank">贵州省</a> 为原点,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/109/" title="东南" class="c1" target="_blank">东南</a> <a href="/tags/551/" title="贵州" class="c1" target="_blank">贵州</a> <a href="/tags/1022/" title="贵州省" class="c1" target="_blank">贵州省</a> 边的直线为 <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/109/" title="东南" class="c1" target="_blank">东南</a> <a href="/tags/551/" title="贵州" class="c1" target="_blank">贵州</a> <a href="/tags/1022/" title="贵州省" class="c1" target="_blank">贵州省</a> 轴,建立如图所示的平面直角坐标系.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/109/" title="东南" class="c1" target="_blank">东南</a> <a href="/tags/551/" title="贵州" class="c1" target="_blank">贵州</a> <a href="/tags/1022/" title="贵州省" class="c1" target="_blank">贵州省</a> 点坐标为 <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/109/" title="东南" class="c1" target="_blank">东南</a> <a href="/tags/551/" title="贵州" class="c1" target="_blank">贵州</a> <a href="/tags/1022/" title="贵州省" class="c1" target="_blank">贵州省</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/109/" title="东南" class="c1" target="_blank">东南</a> <a href="/tags/551/" title="贵州" class="c1" target="_blank">贵州</a> <a href="/tags/1022/" title="贵州省" class="c1" target="_blank">贵州省</a> 点坐标为  

Shape7

18.(3分)某校九(1)班准备举行一次演讲比赛,甲、乙、丙三人通过抽签方式决定出场顺序,则出场顺序恰好是甲、乙、丙的概率是  

19.(3分)如图, <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/109/" title="东南" class="c1" target="_blank">东南</a> <a href="/tags/551/" title="贵州" class="c1" target="_blank">贵州</a> <a href="/tags/1022/" title="贵州省" class="c1" target="_blank">贵州省</a> 是半圆 <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/109/" title="东南" class="c1" target="_blank">东南</a> <a href="/tags/551/" title="贵州" class="c1" target="_blank">贵州</a> <a href="/tags/1022/" title="贵州省" class="c1" target="_blank">贵州省</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/109/" title="东南" class="c1" target="_blank">东南</a> <a href="/tags/551/" title="贵州" class="c1" target="_blank">贵州</a> <a href="/tags/1022/" title="贵州省" class="c1" target="_blank">贵州省</a>  <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/109/" title="东南" class="c1" target="_blank">东南</a> <a href="/tags/551/" title="贵州" class="c1" target="_blank">贵州</a> <a href="/tags/1022/" title="贵州省" class="c1" target="_blank">贵州省</a>  <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/109/" title="东南" class="c1" target="_blank">东南</a> <a href="/tags/551/" title="贵州" class="c1" target="_blank">贵州</a> <a href="/tags/1022/" title="贵州省" class="c1" target="_blank">贵州省</a> ,则点 <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/109/" title="东南" class="c1" target="_blank">东南</a> <a href="/tags/551/" title="贵州" class="c1" target="_blank">贵州</a> <a href="/tags/1022/" title="贵州省" class="c1" target="_blank">贵州省</a>  <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/109/" title="东南" class="c1" target="_blank">东南</a> <a href="/tags/551/" title="贵州" class="c1" target="_blank">贵州</a> <a href="/tags/1022/" title="贵州省" class="c1" target="_blank">贵州省</a> 的距离 <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/109/" title="东南" class="c1" target="_blank">东南</a> <a href="/tags/551/" title="贵州" class="c1" target="_blank">贵州</a> <a href="/tags/1022/" title="贵州省" class="c1" target="_blank">贵州省</a>   

Shape8

20.(3分)如图,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/109/" title="东南" class="c1" target="_blank">东南</a> <a href="/tags/551/" title="贵州" class="c1" target="_blank">贵州</a> <a href="/tags/1022/" title="贵州省" class="c1" target="_blank">贵州省</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/109/" title="东南" class="c1" target="_blank">东南</a> <a href="/tags/551/" title="贵州" class="c1" target="_blank">贵州</a> <a href="/tags/1022/" title="贵州省" class="c1" target="_blank">贵州省</a>  <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/109/" title="东南" class="c1" target="_blank">东南</a> <a href="/tags/551/" title="贵州" class="c1" target="_blank">贵州</a> <a href="/tags/1022/" title="贵州省" class="c1" target="_blank">贵州省</a>  <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/109/" title="东南" class="c1" target="_blank">东南</a> <a href="/tags/551/" title="贵州" class="c1" target="_blank">贵州</a> <a href="/tags/1022/" title="贵州省" class="c1" target="_blank">贵州省</a>  <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/109/" title="东南" class="c1" target="_blank">东南</a> <a href="/tags/551/" title="贵州" class="c1" target="_blank">贵州</a> <a href="/tags/1022/" title="贵州省" class="c1" target="_blank">贵州省</a> 的中点,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/109/" title="东南" class="c1" target="_blank">东南</a> <a href="/tags/551/" title="贵州" class="c1" target="_blank">贵州</a> <a href="/tags/1022/" title="贵州省" class="c1" target="_blank">贵州省</a>  <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/109/" title="东南" class="c1" target="_blank">东南</a> <a href="/tags/551/" title="贵州" class="c1" target="_blank">贵州</a> <a href="/tags/1022/" title="贵州省" class="c1" target="_blank">贵州省</a> 交于点 <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/109/" title="东南" class="c1" target="_blank">东南</a> <a href="/tags/551/" title="贵州" class="c1" target="_blank">贵州</a> <a href="/tags/1022/" title="贵州省" class="c1" target="_blank">贵州省</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/109/" title="东南" class="c1" target="_blank">东南</a> <a href="/tags/551/" title="贵州" class="c1" target="_blank">贵州</a> <a href="/tags/1022/" title="贵州省" class="c1" target="_blank">贵州省</a>  <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/109/" title="东南" class="c1" target="_blank">东南</a> <a href="/tags/551/" title="贵州" class="c1" target="_blank">贵州</a> <a href="/tags/1022/" title="贵州省" class="c1" target="_blank">贵州省</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/109/" title="东南" class="c1" target="_blank">东南</a> <a href="/tags/551/" title="贵州" class="c1" target="_blank">贵州</a> <a href="/tags/1022/" title="贵州省" class="c1" target="_blank">贵州省</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/109/" title="东南" class="c1" target="_blank">东南</a> <a href="/tags/551/" title="贵州" class="c1" target="_blank">贵州</a> <a href="/tags/1022/" title="贵州省" class="c1" target="_blank">贵州省</a>   

Shape9

三、解答题:(6个小题,共80分)

21.(14分)(1)计算: <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/109/" title="东南" class="c1" target="_blank">东南</a> <a href="/tags/551/" title="贵州" class="c1" target="_blank">贵州</a> <a href="/tags/1022/" title="贵州省" class="c1" target="_blank">贵州省</a>

2)先化简,再求值: <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/109/" title="东南" class="c1" target="_blank">东南</a> <a href="/tags/551/" title="贵州" class="c1" target="_blank">贵州</a> <a href="/tags/1022/" title="贵州省" class="c1" target="_blank">贵州省</a> ,其中 <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/109/" title="东南" class="c1" target="_blank">东南</a> <a href="/tags/551/" title="贵州" class="c1" target="_blank">贵州</a> <a href="/tags/1022/" title="贵州省" class="c1" target="_blank">贵州省</a>  <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/109/" title="东南" class="c1" target="_blank">东南</a> <a href="/tags/551/" title="贵州" class="c1" target="_blank">贵州</a> <a href="/tags/1022/" title="贵州省" class="c1" target="_blank">贵州省</a> 23中取一个你认为合适的数代入求值.

22.(12分)某校对九年级学生进行一次综合文科中考模拟测试,成绩 <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/109/" title="东南" class="c1" target="_blank">东南</a> <a href="/tags/551/" title="贵州" class="c1" target="_blank">贵州</a> <a href="/tags/1022/" title="贵州省" class="c1" target="_blank">贵州省</a>  <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/109/" title="东南" class="c1" target="_blank">东南</a> <a href="/tags/551/" title="贵州" class="c1" target="_blank">贵州</a> <a href="/tags/1022/" title="贵州省" class="c1" target="_blank">贵州省</a> 为整数)评定为优秀、良好、合格、不合格四个等级(优秀、良好、合格、不合格分别用 <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/109/" title="东南" class="c1" target="_blank">东南</a> <a href="/tags/551/" title="贵州" class="c1" target="_blank">贵州</a> <a href="/tags/1022/" title="贵州省" class="c1" target="_blank">贵州省</a>  <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/109/" title="东南" class="c1" target="_blank">东南</a> <a href="/tags/551/" title="贵州" class="c1" target="_blank">贵州</a> <a href="/tags/1022/" title="贵州省" class="c1" target="_blank">贵州省</a>  <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/109/" title="东南" class="c1" target="_blank">东南</a> <a href="/tags/551/" title="贵州" class="c1" target="_blank">贵州</a> <a href="/tags/1022/" title="贵州省" class="c1" target="_blank">贵州省</a>  <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/109/" title="东南" class="c1" target="_blank">东南</a> <a href="/tags/551/" title="贵州" class="c1" target="_blank">贵州</a> <a href="/tags/1022/" title="贵州省" class="c1" target="_blank">贵州省</a> 表示), <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/109/" title="东南" class="c1" target="_blank">东南</a> <a href="/tags/551/" title="贵州" class="c1" target="_blank">贵州</a> <a href="/tags/1022/" title="贵州省" class="c1" target="_blank">贵州省</a> 等级: <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/109/" title="东南" class="c1" target="_blank">东南</a> <a href="/tags/551/" title="贵州" class="c1" target="_blank">贵州</a> <a href="/tags/1022/" title="贵州省" class="c1" target="_blank">贵州省</a>  <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/109/" title="东南" class="c1" target="_blank">东南</a> <a href="/tags/551/" title="贵州" class="c1" target="_blank">贵州</a> <a href="/tags/1022/" title="贵州省" class="c1" target="_blank">贵州省</a> 等级: <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/109/" title="东南" class="c1" target="_blank">东南</a> <a href="/tags/551/" title="贵州" class="c1" target="_blank">贵州</a> <a href="/tags/1022/" title="贵州省" class="c1" target="_blank">贵州省</a>  <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/109/" title="东南" class="c1" target="_blank">东南</a> <a href="/tags/551/" title="贵州" class="c1" target="_blank">贵州</a> <a href="/tags/1022/" title="贵州省" class="c1" target="_blank">贵州省</a> 等级: <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/109/" title="东南" class="c1" target="_blank">东南</a> <a href="/tags/551/" title="贵州" class="c1" target="_blank">贵州</a> <a href="/tags/1022/" title="贵州省" class="c1" target="_blank">贵州省</a>  <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/109/" title="东南" class="c1" target="_blank">东南</a> <a href="/tags/551/" title="贵州" class="c1" target="_blank">贵州</a> <a href="/tags/1022/" title="贵州省" class="c1" target="_blank">贵州省</a> 等级: <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/109/" title="东南" class="c1" target="_blank">东南</a> <a href="/tags/551/" title="贵州" class="c1" target="_blank">贵州</a> <a href="/tags/1022/" title="贵州省" class="c1" target="_blank">贵州省</a> .该校随机抽取了一部分学生的成绩进行调查,并绘制成如图不完整的统计图表.

等级

频数(人数)

频率

 <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/109/" title="东南" class="c1" target="_blank">东南</a> <a href="/tags/551/" title="贵州" class="c1" target="_blank">贵州</a> <a href="/tags/1022/" title="贵州省" class="c1" target="_blank">贵州省</a>

 <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/109/" title="东南" class="c1" target="_blank">东南</a> <a href="/tags/551/" title="贵州" class="c1" target="_blank">贵州</a> <a href="/tags/1022/" title="贵州省" class="c1" target="_blank">贵州省</a>

 <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/109/" title="东南" class="c1" target="_blank">东南</a> <a href="/tags/551/" title="贵州" class="c1" target="_blank">贵州</a> <a href="/tags/1022/" title="贵州省" class="c1" target="_blank">贵州省</a>

 <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/109/" title="东南" class="c1" target="_blank">东南</a> <a href="/tags/551/" title="贵州" class="c1" target="_blank">贵州</a> <a href="/tags/1022/" title="贵州省" class="c1" target="_blank">贵州省</a>

16

 <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/109/" title="东南" class="c1" target="_blank">东南</a> <a href="/tags/551/" title="贵州" class="c1" target="_blank">贵州</a> <a href="/tags/1022/" title="贵州省" class="c1" target="_blank">贵州省</a>

 <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/109/" title="东南" class="c1" target="_blank">东南</a> <a href="/tags/551/" title="贵州" class="c1" target="_blank">贵州</a> <a href="/tags/1022/" title="贵州省" class="c1" target="_blank">贵州省</a>

 <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/109/" title="东南" class="c1" target="_blank">东南</a> <a href="/tags/551/" title="贵州" class="c1" target="_blank">贵州</a> <a href="/tags/1022/" title="贵州省" class="c1" target="_blank">贵州省</a>

 <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/109/" title="东南" class="c1" target="_blank">东南</a> <a href="/tags/551/" title="贵州" class="c1" target="_blank">贵州</a> <a href="/tags/1022/" title="贵州省" class="c1" target="_blank">贵州省</a>

 <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/109/" title="东南" class="c1" target="_blank">东南</a> <a href="/tags/551/" title="贵州" class="c1" target="_blank">贵州</a> <a href="/tags/1022/" title="贵州省" class="c1" target="_blank">贵州省</a>

4

 <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/109/" title="东南" class="c1" target="_blank">东南</a> <a href="/tags/551/" title="贵州" class="c1" target="_blank">贵州</a> <a href="/tags/1022/" title="贵州省" class="c1" target="_blank">贵州省</a>

请你根据统计图表提供的信息解答下列问题:

1)上表中的 <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/109/" title="东南" class="c1" target="_blank">东南</a> <a href="/tags/551/" title="贵州" class="c1" target="_blank">贵州</a> <a href="/tags/1022/" title="贵州省" class="c1" target="_blank">贵州省</a>    <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/109/" title="东南" class="c1" target="_blank">东南</a> <a href="/tags/551/" title="贵州" class="c1" target="_blank">贵州</a> <a href="/tags/1022/" title="贵州省" class="c1" target="_blank">贵州省</a>    <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/109/" title="东南" class="c1" target="_blank">东南</a> <a href="/tags/551/" title="贵州" class="c1" target="_blank">贵州</a> <a href="/tags/1022/" title="贵州省" class="c1" target="_blank">贵州省</a>   

2)本次调查共抽取了多少名学生?请补全条形图.

3)若从 <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/109/" title="东南" class="c1" target="_blank">东南</a> <a href="/tags/551/" title="贵州" class="c1" target="_blank">贵州</a> <a href="/tags/1022/" title="贵州省" class="c1" target="_blank">贵州省</a> 等级的4名学生中抽取两名学生进行问卷调查,请用画树状图或列表的方法求抽取的两名学生恰好是一男一女的概率.

Shape10

23.(12分)如图, <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/109/" title="东南" class="c1" target="_blank">东南</a> <a href="/tags/551/" title="贵州" class="c1" target="_blank">贵州</a> <a href="/tags/1022/" title="贵州省" class="c1" target="_blank">贵州省</a>  <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/109/" title="东南" class="c1" target="_blank">东南</a> <a href="/tags/551/" title="贵州" class="c1" target="_blank">贵州</a> <a href="/tags/1022/" title="贵州省" class="c1" target="_blank">贵州省</a> 的直径,点 <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/109/" title="东南" class="c1" target="_blank">东南</a> <a href="/tags/551/" title="贵州" class="c1" target="_blank">贵州</a> <a href="/tags/1022/" title="贵州省" class="c1" target="_blank">贵州省</a>  <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/109/" title="东南" class="c1" target="_blank">东南</a> <a href="/tags/551/" title="贵州" class="c1" target="_blank">贵州</a> <a href="/tags/1022/" title="贵州省" class="c1" target="_blank">贵州省</a> 上一点(与点 <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/109/" title="东南" class="c1" target="_blank">东南</a> <a href="/tags/551/" title="贵州" class="c1" target="_blank">贵州</a> <a href="/tags/1022/" title="贵州省" class="c1" target="_blank">贵州省</a>  <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/109/" title="东南" class="c1" target="_blank">东南</a> <a href="/tags/551/" title="贵州" class="c1" target="_blank">贵州</a> <a href="/tags/1022/" title="贵州省" class="c1" target="_blank">贵州省</a> 不重合),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/109/" title="东南" class="c1" target="_blank">东南</a> <a href="/tags/551/" title="贵州" class="c1" target="_blank">贵州</a> <a href="/tags/1022/" title="贵州省" class="c1" target="_blank">贵州省</a> 作直线 <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/109/" title="东南" class="c1" target="_blank">东南</a> <a href="/tags/551/" title="贵州" class="c1" target="_blank">贵州</a> <a href="/tags/1022/" title="贵州省" class="c1" target="_blank">贵州省</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/109/" title="东南" class="c1" target="_blank">东南</a> <a href="/tags/551/" title="贵州" class="c1" target="_blank">贵州</a> <a href="/tags/1022/" title="贵州省" class="c1" target="_blank">贵州省</a>

1)求证: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/109/" title="东南" class="c1" target="_blank">东南</a> <a href="/tags/551/" title="贵州" class="c1" target="_blank">贵州</a> <a href="/tags/1022/" title="贵州省" class="c1" target="_blank">贵州省</a>  <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/109/" title="东南" class="c1" target="_blank">东南</a> <a href="/tags/551/" title="贵州" class="c1" target="_blank">贵州</a> <a href="/tags/1022/" title="贵州省" class="c1" target="_blank">贵州省</a> 的切线.

2)过点 <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/109/" title="东南" class="c1" target="_blank">东南</a> <a href="/tags/551/" title="贵州" class="c1" target="_blank">贵州</a> <a href="/tags/1022/" title="贵州省" class="c1" target="_blank">贵州省</a>  <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/109/" title="东南" class="c1" target="_blank">东南</a> <a href="/tags/551/" title="贵州" class="c1" target="_blank">贵州</a> <a href="/tags/1022/" title="贵州省" class="c1" target="_blank">贵州省</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/109/" title="东南" class="c1" target="_blank">东南</a> <a href="/tags/551/" title="贵州" class="c1" target="_blank">贵州</a> <a href="/tags/1022/" title="贵州省" class="c1" target="_blank">贵州省</a> ,交 <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/109/" title="东南" class="c1" target="_blank">东南</a> <a href="/tags/551/" title="贵州" class="c1" target="_blank">贵州</a> <a href="/tags/1022/" title="贵州省" class="c1" target="_blank">贵州省</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/109/" title="东南" class="c1" target="_blank">东南</a> <a href="/tags/551/" title="贵州" class="c1" target="_blank">贵州</a> <a href="/tags/1022/" title="贵州省" class="c1" target="_blank">贵州省</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/109/" title="东南" class="c1" target="_blank">东南</a> <a href="/tags/551/" title="贵州" class="c1" target="_blank">贵州</a> <a href="/tags/1022/" title="贵州省" class="c1" target="_blank">贵州省</a> 的半径为2 <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/109/" title="东南" class="c1" target="_blank">东南</a> <a href="/tags/551/" title="贵州" class="c1" target="_blank">贵州</a> <a href="/tags/1022/" title="贵州省" class="c1" target="_blank">贵州省</a> ,求图中阴影部分的面积.

Shape11

24.(14分)黔东南州某超市购进甲、乙两种商品,已知购进3件甲商品和2件乙商品,需60元;购进2件甲商品和3件乙商品,需65元.

1)甲、乙两种商品的进货单价分别是多少?

2)设甲商品的销售单价为 <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/109/" title="东南" class="c1" target="_blank">东南</a> <a href="/tags/551/" title="贵州" class="c1" target="_blank">贵州</a> <a href="/tags/1022/" title="贵州省" class="c1" target="_blank">贵州省</a> (单位:元 <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/109/" title="东南" class="c1" target="_blank">东南</a> <a href="/tags/551/" title="贵州" class="c1" target="_blank">贵州</a> <a href="/tags/1022/" title="贵州省" class="c1" target="_blank">贵州省</a> 件),在销售过程中发现: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/109/" title="东南" class="c1" target="_blank">东南</a> <a href="/tags/551/" title="贵州" class="c1" target="_blank">贵州</a> <a href="/tags/1022/" title="贵州省" class="c1" target="_blank">贵州省</a> 时,甲商品的日销售量 <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/109/" title="东南" class="c1" target="_blank">东南</a> <a href="/tags/551/" title="贵州" class="c1" target="_blank">贵州</a> <a href="/tags/1022/" title="贵州省" class="c1" target="_blank">贵州省</a> (单位:件)与销售单价 <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/109/" title="东南" class="c1" target="_blank">东南</a> <a href="/tags/551/" title="贵州" class="c1" target="_blank">贵州</a> <a href="/tags/1022/" title="贵州省" class="c1" target="_blank">贵州省</a> 之间存在一次函数关系, <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/109/" title="东南" class="c1" target="_blank">东南</a> <a href="/tags/551/" title="贵州" class="c1" target="_blank">贵州</a> <a href="/tags/1022/" title="贵州省" class="c1" target="_blank">贵州省</a>  <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/109/" title="东南" class="c1" target="_blank">东南</a> <a href="/tags/551/" title="贵州" class="c1" target="_blank">贵州</a> <a href="/tags/1022/" title="贵州省" class="c1" target="_blank">贵州省</a> 之间的部分数值对应关系如表:

销售单价 <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/109/" title="东南" class="c1" target="_blank">东南</a> <a href="/tags/551/" title="贵州" class="c1" target="_blank">贵州</a> <a href="/tags/1022/" title="贵州省" class="c1" target="_blank">贵州省</a> (元 <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/109/" title="东南" class="c1" target="_blank">东南</a> <a href="/tags/551/" title="贵州" class="c1" target="_blank">贵州</a> <a href="/tags/1022/" title="贵州省" class="c1" target="_blank">贵州省</a> 件)

11

19

日销售量 <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/109/" title="东南" class="c1" target="_blank">东南</a> <a href="/tags/551/" title="贵州" class="c1" target="_blank">贵州</a> <a href="/tags/1022/" title="贵州省" class="c1" target="_blank">贵州省</a> (件 <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/109/" title="东南" class="c1" target="_blank">东南</a> <a href="/tags/551/" title="贵州" class="c1" target="_blank">贵州</a> <a href="/tags/1022/" title="贵州省" class="c1" target="_blank">贵州省</a>

18

2

请写出当 <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/109/" title="东南" class="c1" target="_blank">东南</a> <a href="/tags/551/" title="贵州" class="c1" target="_blank">贵州</a> <a href="/tags/1022/" title="贵州省" class="c1" target="_blank">贵州省</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/109/" title="东南" class="c1" target="_blank">东南</a> <a href="/tags/551/" title="贵州" class="c1" target="_blank">贵州</a> <a href="/tags/1022/" title="贵州省" class="c1" target="_blank">贵州省</a>  <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/109/" title="东南" class="c1" target="_blank">东南</a> <a href="/tags/551/" title="贵州" class="c1" target="_blank">贵州</a> <a href="/tags/1022/" title="贵州省" class="c1" target="_blank">贵州省</a> 之间的函数关系式.

3)在(2)的条件下,设甲商品的日销售利润为 <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/109/" title="东南" class="c1" target="_blank">东南</a> <a href="/tags/551/" title="贵州" class="c1" target="_blank">贵州</a> <a href="/tags/1022/" title="贵州省" class="c1" target="_blank">贵州省</a> 元,当甲商品的销售单价 <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/109/" title="东南" class="c1" target="_blank">东南</a> <a href="/tags/551/" title="贵州" class="c1" target="_blank">贵州</a> <a href="/tags/1022/" title="贵州省" class="c1" target="_blank">贵州省</a> (元 <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/109/" title="东南" class="c1" target="_blank">东南</a> <a href="/tags/551/" title="贵州" class="c1" target="_blank">贵州</a> <a href="/tags/1022/" title="贵州省" class="c1" target="_blank">贵州省</a> 件)定为多少时,日销售利润最大?最大利润是多少?

25.(14分)如图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/109/" title="东南" class="c1" target="_blank">东南</a> <a href="/tags/551/" title="贵州" class="c1" target="_blank">贵州</a> <a href="/tags/1022/" title="贵州省" class="c1" target="_blank">贵州省</a>  <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/109/" title="东南" class="c1" target="_blank">东南</a> <a href="/tags/551/" title="贵州" class="c1" target="_blank">贵州</a> <a href="/tags/1022/" title="贵州省" class="c1" target="_blank">贵州省</a> 都是等边三角形.

探究发现

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/109/" title="东南" class="c1" target="_blank">东南</a> <a href="/tags/551/" title="贵州" class="c1" target="_blank">贵州</a> <a href="/tags/1022/" title="贵州省" class="c1" target="_blank">贵州省</a>  <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/109/" title="东南" class="c1" target="_blank">东南</a> <a href="/tags/551/" title="贵州" class="c1" target="_blank">贵州</a> <a href="/tags/1022/" title="贵州省" class="c1" target="_blank">贵州省</a> 是否全等?若全等,加以证明;若不全等,请说明理由.

拓展运用

2)若 <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/109/" title="东南" class="c1" target="_blank">东南</a> <a href="/tags/551/" title="贵州" class="c1" target="_blank">贵州</a> <a href="/tags/1022/" title="贵州省" class="c1" target="_blank">贵州省</a>  <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/109/" title="东南" class="c1" target="_blank">东南</a> <a href="/tags/551/" title="贵州" class="c1" target="_blank">贵州</a> <a href="/tags/1022/" title="贵州省" class="c1" target="_blank">贵州省</a>  <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/109/" title="东南" class="c1" target="_blank">东南</a> <a href="/tags/551/" title="贵州" class="c1" target="_blank">贵州</a> <a href="/tags/1022/" title="贵州省" class="c1" target="_blank">贵州省</a> 三点不在一条直线上, <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/109/" title="东南" class="c1" target="_blank">东南</a> <a href="/tags/551/" title="贵州" class="c1" target="_blank">贵州</a> <a href="/tags/1022/" title="贵州省" class="c1" target="_blank">贵州省</a>  <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/109/" title="东南" class="c1" target="_blank">东南</a> <a href="/tags/551/" title="贵州" class="c1" target="_blank">贵州</a> <a href="/tags/1022/" title="贵州省" class="c1" target="_blank">贵州省</a>  <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/109/" title="东南" class="c1" target="_blank">东南</a> <a href="/tags/551/" title="贵州" class="c1" target="_blank">贵州</a> <a href="/tags/1022/" title="贵州省" class="c1" target="_blank">贵州省</a> ,求 <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/109/" title="东南" class="c1" target="_blank">东南</a> <a href="/tags/551/" title="贵州" class="c1" target="_blank">贵州</a> <a href="/tags/1022/" title="贵州省" class="c1" target="_blank">贵州省</a> 的长.

3)若 <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/109/" title="东南" class="c1" target="_blank">东南</a> <a href="/tags/551/" title="贵州" class="c1" target="_blank">贵州</a> <a href="/tags/1022/" title="贵州省" class="c1" target="_blank">贵州省</a>  <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/109/" title="东南" class="c1" target="_blank">东南</a> <a href="/tags/551/" title="贵州" class="c1" target="_blank">贵州</a> <a href="/tags/1022/" title="贵州省" class="c1" target="_blank">贵州省</a>  <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/109/" title="东南" class="c1" target="_blank">东南</a> <a href="/tags/551/" title="贵州" class="c1" target="_blank">贵州</a> <a href="/tags/1022/" title="贵州省" class="c1" target="_blank">贵州省</a> 三点在一条直线上(如图 <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/109/" title="东南" class="c1" target="_blank">东南</a> <a href="/tags/551/" title="贵州" class="c1" target="_blank">贵州</a> <a href="/tags/1022/" title="贵州省" class="c1" target="_blank">贵州省</a> ,且 <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/109/" title="东南" class="c1" target="_blank">东南</a> <a href="/tags/551/" title="贵州" class="c1" target="_blank">贵州</a> <a href="/tags/1022/" title="贵州省" class="c1" target="_blank">贵州省</a>  <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/109/" title="东南" class="c1" target="_blank">东南</a> <a href="/tags/551/" title="贵州" class="c1" target="_blank">贵州</a> <a href="/tags/1022/" title="贵州省" class="c1" target="_blank">贵州省</a> 的边长分别为12,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/109/" title="东南" class="c1" target="_blank">东南</a> <a href="/tags/551/" title="贵州" class="c1" target="_blank">贵州</a> <a href="/tags/1022/" title="贵州省" class="c1" target="_blank">贵州省</a> 的面积及 <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/109/" title="东南" class="c1" target="_blank">东南</a> <a href="/tags/551/" title="贵州" class="c1" target="_blank">贵州</a> <a href="/tags/1022/" title="贵州省" class="c1" target="_blank">贵州省</a> 的长.

Shape12

26.(14分)已知抛物线 <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/109/" title="东南" class="c1" target="_blank">东南</a> <a href="/tags/551/" title="贵州" class="c1" target="_blank">贵州</a> <a href="/tags/1022/" title="贵州省" class="c1" target="_blank">贵州省</a>  <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/109/" title="东南" class="c1" target="_blank">东南</a> <a href="/tags/551/" title="贵州" class="c1" target="_blank">贵州</a> <a href="/tags/1022/" title="贵州省" class="c1" target="_blank">贵州省</a> 轴交于 <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/109/" title="东南" class="c1" target="_blank">东南</a> <a href="/tags/551/" title="贵州" class="c1" target="_blank">贵州</a> <a href="/tags/1022/" title="贵州省" class="c1" target="_blank">贵州省</a>  <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/109/" title="东南" class="c1" target="_blank">东南</a> <a href="/tags/551/" title="贵州" class="c1" target="_blank">贵州</a> <a href="/tags/1022/" title="贵州省" class="c1" target="_blank">贵州省</a> 两点(点 <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/109/" title="东南" class="c1" target="_blank">东南</a> <a href="/tags/551/" title="贵州" class="c1" target="_blank">贵州</a> <a href="/tags/1022/" title="贵州省" class="c1" target="_blank">贵州省</a> 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/109/" title="东南" class="c1" target="_blank">东南</a> <a href="/tags/551/" title="贵州" class="c1" target="_blank">贵州</a> <a href="/tags/1022/" title="贵州省" class="c1" target="_blank">贵州省</a> 的左边),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/109/" title="东南" class="c1" target="_blank">东南</a> <a href="/tags/551/" title="贵州" class="c1" target="_blank">贵州</a> <a href="/tags/1022/" title="贵州省" class="c1" target="_blank">贵州省</a> 轴交于点 <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/109/" title="东南" class="c1" target="_blank">东南</a> <a href="/tags/551/" title="贵州" class="c1" target="_blank">贵州</a> <a href="/tags/1022/" title="贵州省" class="c1" target="_blank">贵州省</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/109/" title="东南" class="c1" target="_blank">东南</a> <a href="/tags/551/" title="贵州" class="c1" target="_blank">贵州</a> <a href="/tags/1022/" title="贵州省" class="c1" target="_blank">贵州省</a> 的坐标为 <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/109/" title="东南" class="c1" target="_blank">东南</a> <a href="/tags/551/" title="贵州" class="c1" target="_blank">贵州</a> <a href="/tags/1022/" title="贵州省" class="c1" target="_blank">贵州省</a>

1)求抛物线的解析式.

2)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/109/" title="东南" class="c1" target="_blank">东南</a> <a href="/tags/551/" title="贵州" class="c1" target="_blank">贵州</a> <a href="/tags/1022/" title="贵州省" class="c1" target="_blank">贵州省</a> 轴上找一点 <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/109/" title="东南" class="c1" target="_blank">东南</a> <a href="/tags/551/" title="贵州" class="c1" target="_blank">贵州</a> <a href="/tags/1022/" title="贵州省" class="c1" target="_blank">贵州省</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/109/" title="东南" class="c1" target="_blank">东南</a> <a href="/tags/551/" title="贵州" class="c1" target="_blank">贵州</a> <a href="/tags/1022/" title="贵州省" class="c1" target="_blank">贵州省</a> 为等腰三角形,请直接写出点 <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/109/" title="东南" class="c1" target="_blank">东南</a> <a href="/tags/551/" title="贵州" class="c1" target="_blank">贵州</a> <a href="/tags/1022/" title="贵州省" class="c1" target="_blank">贵州省</a> 的坐标.

3)点 <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/109/" title="东南" class="c1" target="_blank">东南</a> <a href="/tags/551/" title="贵州" class="c1" target="_blank">贵州</a> <a href="/tags/1022/" title="贵州省" class="c1" target="_blank">贵州省</a>  <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/109/" title="东南" class="c1" target="_blank">东南</a> <a href="/tags/551/" title="贵州" class="c1" target="_blank">贵州</a> <a href="/tags/1022/" title="贵州省" class="c1" target="_blank">贵州省</a> 轴上的动点,点 <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/109/" title="东南" class="c1" target="_blank">东南</a> <a href="/tags/551/" title="贵州" class="c1" target="_blank">贵州</a> <a href="/tags/1022/" title="贵州省" class="c1" target="_blank">贵州省</a> 是抛物线上的动点,是否存在点 <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/109/" title="东南" class="c1" target="_blank">东南</a> <a href="/tags/551/" title="贵州" class="c1" target="_blank">贵州</a> <a href="/tags/1022/" title="贵州省" class="c1" target="_blank">贵州省</a>  <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/109/" title="东南" class="c1" target="_blank">东南</a> <a href="/tags/551/" title="贵州" class="c1" target="_blank">贵州</a> <a href="/tags/1022/" title="贵州省" class="c1" target="_blank">贵州省</a> ,使得以点 <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/109/" title="东南" class="c1" target="_blank">东南</a> <a href="/tags/551/" title="贵州" class="c1" target="_blank">贵州</a> <a href="/tags/1022/" title="贵州省" class="c1" target="_blank">贵州省</a>  <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/109/" title="东南" class="c1" target="_blank">东南</a> <a href="/tags/551/" title="贵州" class="c1" target="_blank">贵州</a> <a href="/tags/1022/" title="贵州省" class="c1" target="_blank">贵州省</a>  <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/109/" title="东南" class="c1" target="_blank">东南</a> <a href="/tags/551/" title="贵州" class="c1" target="_blank">贵州</a> <a href="/tags/1022/" title="贵州省" class="c1" target="_blank">贵州省</a>  <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/109/" title="东南" class="c1" target="_blank">东南</a> <a href="/tags/551/" title="贵州" class="c1" target="_blank">贵州</a> <a href="/tags/1022/" title="贵州省" class="c1" target="_blank">贵州省</a> 为顶点, <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/109/" title="东南" class="c1" target="_blank">东南</a> <a href="/tags/551/" title="贵州" class="c1" target="_blank">贵州</a> <a href="/tags/1022/" title="贵州省" class="c1" target="_blank">贵州省</a> 为一边的四边形是平行四边形?若存在,请求出点 <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/109/" title="东南" class="c1" target="_blank">东南</a> <a href="/tags/551/" title="贵州" class="c1" target="_blank">贵州</a> <a href="/tags/1022/" title="贵州省" class="c1" target="_blank">贵州省</a>  <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/109/" title="东南" class="c1" target="_blank">东南</a> <a href="/tags/551/" title="贵州" class="c1" target="_blank">贵州</a> <a href="/tags/1022/" title="贵州省" class="c1" target="_blank">贵州省</a> 坐标;若不存在,请说明理由.

Shape13


2020年贵州省黔东南州中考数学试卷

参考答案与试题解析

一、选择题(每小题4分,10个小题,共40分)

1.(4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/109/" title="东南" class="c1" target="_blank">东南</a> <a href="/tags/551/" title="贵州" class="c1" target="_blank">贵州</a> <a href="/tags/1022/" title="贵州省" class="c1" target="_blank">贵州省</a> 的倒数是 <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/109/" title="东南" class="c1" target="_blank">东南</a> <a href="/tags/551/" title="贵州" class="c1" target="_blank">贵州</a> <a href="/tags/1022/" title="贵州省" class="c1" target="_blank">贵州省</a>    <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/109/" title="东南" class="c1" target="_blank">东南</a> <a href="/tags/551/" title="贵州" class="c1" target="_blank">贵州</a> <a href="/tags/1022/" title="贵州省" class="c1" target="_blank">贵州省</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/109/" title="东南" class="c1" target="_blank">东南</a> <a href="/tags/551/" title="贵州" class="c1" target="_blank">贵州</a> <a href="/tags/1022/" title="贵州省" class="c1" target="_blank">贵州省</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/109/" title="东南" class="c1" target="_blank">东南</a> <a href="/tags/551/" title="贵州" class="c1" target="_blank">贵州</a> <a href="/tags/1022/" title="贵州省" class="c1" target="_blank">贵州省</a> C2020 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/109/" title="东南" class="c1" target="_blank">东南</a> <a href="/tags/551/" title="贵州" class="c1" target="_blank">贵州</a> <a href="/tags/1022/" title="贵州省" class="c1" target="_blank">贵州省</a>

【分析】根据倒数的概念解答.

【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/109/" title="东南" class="c1" target="_blank">东南</a> <a href="/tags/551/" title="贵州" class="c1" target="_blank">贵州</a> <a href="/tags/1022/" title="贵州省" class="c1" target="_blank">贵州省</a> 的倒数是 <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/109/" title="东南" class="c1" target="_blank">东南</a> <a href="/tags/551/" title="贵州" class="c1" target="_blank">贵州</a> <a href="/tags/1022/" title="贵州省" class="c1" target="_blank">贵州省</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/109/" title="东南" class="c1" target="_blank">东南</a> <a href="/tags/551/" title="贵州" class="c1" target="_blank">贵州</a> <a href="/tags/1022/" title="贵州省" class="c1" target="_blank">贵州省</a>

【点评】本题考查的是求一个数的倒数,掌握求一个整数的倒数,就是写成这个整数分之一是解题的关键.

2.(4分)下列运算正确的是 <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/109/" title="东南" class="c1" target="_blank">东南</a> <a href="/tags/551/" title="贵州" class="c1" target="_blank">贵州</a> <a href="/tags/1022/" title="贵州省" class="c1" target="_blank">贵州省</a>    <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/109/" title="东南" class="c1" target="_blank">东南</a> <a href="/tags/551/" title="贵州" class="c1" target="_blank">贵州</a> <a href="/tags/1022/" title="贵州省" class="c1" target="_blank">贵州省</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/109/" title="东南" class="c1" target="_blank">东南</a> <a href="/tags/551/" title="贵州" class="c1" target="_blank">贵州</a> <a href="/tags/1022/" title="贵州省" class="c1" target="_blank">贵州省</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/109/" title="东南" class="c1" target="_blank">东南</a> <a href="/tags/551/" title="贵州" class="c1" target="_blank">贵州</a> <a href="/tags/1022/" title="贵州省" class="c1" target="_blank">贵州省</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/109/" title="东南" class="c1" target="_blank">东南</a> <a href="/tags/551/" title="贵州" class="c1" target="_blank">贵州</a> <a href="/tags/1022/" title="贵州省" class="c1" target="_blank">贵州省</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/109/" title="东南" class="c1" target="_blank">东南</a> <a href="/tags/551/" title="贵州" class="c1" target="_blank">贵州</a> <a href="/tags/1022/" title="贵州省" class="c1" target="_blank">贵州省</a>

【分析】直接利用完全平方公式以及合并同类项、同底数幂的乘法运算和积的乘方运算法则分别计算得出答案.

【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/109/" title="东南" class="c1" target="_blank">东南</a> <a href="/tags/551/" title="贵州" class="c1" target="_blank">贵州</a> <a href="/tags/1022/" title="贵州省" class="c1" target="_blank">贵州省</a>  <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/109/" title="东南" class="c1" target="_blank">东南</a> <a href="/tags/551/" title="贵州" class="c1" target="_blank">贵州</a> <a href="/tags/1022/" title="贵州省" class="c1" target="_blank">贵州省</a> ,故此选项错误;

 <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/109/" title="东南" class="c1" target="_blank">东南</a> <a href="/tags/551/" title="贵州" class="c1" target="_blank">贵州</a> <a href="/tags/1022/" title="贵州省" class="c1" target="_blank">贵州省</a>  <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/109/" title="东南" class="c1" target="_blank">东南</a> <a href="/tags/551/" title="贵州" class="c1" target="_blank">贵州</a> <a href="/tags/1022/" title="贵州省" class="c1" target="_blank">贵州省</a> ,不是同类项,无法合并,故此选项错误;

 <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/109/" title="东南" class="c1" target="_blank">东南</a> <a href="/tags/551/" title="贵州" class="c1" target="_blank">贵州</a> <a href="/tags/1022/" title="贵州省" class="c1" target="_blank">贵州省</a>  <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/109/" title="东南" class="c1" target="_blank">东南</a> <a href="/tags/551/" title="贵州" class="c1" target="_blank">贵州</a> <a href="/tags/1022/" title="贵州省" class="c1" target="_blank">贵州省</a> ,故此选项错误;

 <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/109/" title="东南" class="c1" target="_blank">东南</a> <a href="/tags/551/" title="贵州" class="c1" target="_blank">贵州</a> <a href="/tags/1022/" title="贵州省" class="c1" target="_blank">贵州省</a>  <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/109/" title="东南" class="c1" target="_blank">东南</a> <a href="/tags/551/" title="贵州" class="c1" target="_blank">贵州</a> <a href="/tags/1022/" title="贵州省" class="c1" target="_blank">贵州省</a> ,正确.

故选: <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/109/" title="东南" class="c1" target="_blank">东南</a> <a href="/tags/551/" title="贵州" class="c1" target="_blank">贵州</a> <a href="/tags/1022/" title="贵州省" class="c1" target="_blank">贵州省</a>

【点评】此题主要考查了完全平方公式以及合并同类项、同底数幂的乘法运算和积的乘方运算,正确掌握相关运算法则是解题关键.

3.(4分)实数 <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/109/" title="东南" class="c1" target="_blank">东南</a> <a href="/tags/551/" title="贵州" class="c1" target="_blank">贵州</a> <a href="/tags/1022/" title="贵州省" class="c1" target="_blank">贵州省</a> 介于 <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/109/" title="东南" class="c1" target="_blank">东南</a> <a href="/tags/551/" title="贵州" class="c1" target="_blank">贵州</a> <a href="/tags/1022/" title="贵州省" class="c1" target="_blank">贵州省</a>    <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/109/" title="东南" class="c1" target="_blank">东南</a> <a href="/tags/551/" title="贵州" class="c1" target="_blank">贵州</a> <a href="/tags/1022/" title="贵州省" class="c1" target="_blank">贵州省</a>

A45之间 B56之间 C67之间 D78之间

【分析】首先化简 <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/109/" title="东南" class="c1" target="_blank">东南</a> <a href="/tags/551/" title="贵州" class="c1" target="_blank">贵州</a> <a href="/tags/1022/" title="贵州省" class="c1" target="_blank">贵州省</a> ,再估算 <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/109/" title="东南" class="c1" target="_blank">东南</a> <a href="/tags/551/" title="贵州" class="c1" target="_blank">贵州</a> <a href="/tags/1022/" title="贵州省" class="c1" target="_blank">贵州省</a> ,由此即可判定选项.

【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/109/" title="东南" class="c1" target="_blank">东南</a> <a href="/tags/551/" title="贵州" class="c1" target="_blank">贵州</a> <a href="/tags/1022/" title="贵州省" class="c1" target="_blank">贵州省</a> ,且 <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/109/" title="东南" class="c1" target="_blank">东南</a> <a href="/tags/551/" title="贵州" class="c1" target="_blank">贵州</a> <a href="/tags/1022/" title="贵州省" class="c1" target="_blank">贵州省</a>

 <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/109/" title="东南" class="c1" target="_blank">东南</a> <a href="/tags/551/" title="贵州" class="c1" target="_blank">贵州</a> <a href="/tags/1022/" title="贵州省" class="c1" target="_blank">贵州省</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/109/" title="东南" class="c1" target="_blank">东南</a> <a href="/tags/551/" title="贵州" class="c1" target="_blank">贵州</a> <a href="/tags/1022/" title="贵州省" class="c1" target="_blank">贵州省</a>

【点评】此题主要考查了无理数的估算,现实生活中经常需要估算,估算应是我们具备的数学能力,“夹逼法”是估算的一般方法,也是常用方法.

4.(4分)已知关于 <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/109/" title="东南" class="c1" target="_blank">东南</a> <a href="/tags/551/" title="贵州" class="c1" target="_blank">贵州</a> <a href="/tags/1022/" title="贵州省" class="c1" target="_blank">贵州省</a> 的一元二次方程 <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/109/" title="东南" class="c1" target="_blank">东南</a> <a href="/tags/551/" title="贵州" class="c1" target="_blank">贵州</a> <a href="/tags/1022/" title="贵州省" class="c1" target="_blank">贵州省</a> 的一个根是2,则另一个根是 <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/109/" title="东南" class="c1" target="_blank">东南</a> <a href="/tags/551/" title="贵州" class="c1" target="_blank">贵州</a> <a href="/tags/1022/" title="贵州省" class="c1" target="_blank">贵州省</a>    <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/109/" title="东南" class="c1" target="_blank">东南</a> <a href="/tags/551/" title="贵州" class="c1" target="_blank">贵州</a> <a href="/tags/1022/" title="贵州省" class="c1" target="_blank">贵州省</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/109/" title="东南" class="c1" target="_blank">东南</a> <a href="/tags/551/" title="贵州" class="c1" target="_blank">贵州</a> <a href="/tags/1022/" title="贵州省" class="c1" target="_blank">贵州省</a> B7 C3 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/109/" title="东南" class="c1" target="_blank">东南</a> <a href="/tags/551/" title="贵州" class="c1" target="_blank">贵州</a> <a href="/tags/1022/" title="贵州省" class="c1" target="_blank">贵州省</a>

【分析】根据根与系数的关系即可求出答案.

【解答】解:设另一个根为 <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/109/" title="东南" class="c1" target="_blank">东南</a> <a href="/tags/551/" title="贵州" class="c1" target="_blank">贵州</a> <a href="/tags/1022/" title="贵州省" class="c1" target="_blank">贵州省</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/109/" title="东南" class="c1" target="_blank">东南</a> <a href="/tags/551/" title="贵州" class="c1" target="_blank">贵州</a> <a href="/tags/1022/" title="贵州省" class="c1" target="_blank">贵州省</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/109/" title="东南" class="c1" target="_blank">东南</a> <a href="/tags/551/" title="贵州" class="c1" target="_blank">贵州</a> <a href="/tags/1022/" title="贵州省" class="c1" target="_blank">贵州省</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/109/" title="东南" class="c1" target="_blank">东南</a> <a href="/tags/551/" title="贵州" class="c1" target="_blank">贵州</a> <a href="/tags/1022/" title="贵州省" class="c1" target="_blank">贵州省</a>

【点评】本题考查根与系数的关系,解题的关键是熟练运用根与系数的关系,本题属于基础题型.

5.(4分)如图,将矩形 <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/109/" title="东南" class="c1" target="_blank">东南</a> <a href="/tags/551/" title="贵州" class="c1" target="_blank">贵州</a> <a href="/tags/1022/" title="贵州省" class="c1" target="_blank">贵州省</a> 沿 <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/109/" title="东南" class="c1" target="_blank">东南</a> <a href="/tags/551/" title="贵州" class="c1" target="_blank">贵州</a> <a href="/tags/1022/" title="贵州省" class="c1" target="_blank">贵州省</a> 折叠,使点 <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/109/" title="东南" class="c1" target="_blank">东南</a> <a href="/tags/551/" title="贵州" class="c1" target="_blank">贵州</a> <a href="/tags/1022/" title="贵州省" class="c1" target="_blank">贵州省</a> 落在点 <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/109/" title="东南" class="c1" target="_blank">东南</a> <a href="/tags/551/" title="贵州" class="c1" target="_blank">贵州</a> <a href="/tags/1022/" title="贵州省" class="c1" target="_blank">贵州省</a> 处, <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/109/" title="东南" class="c1" target="_blank">东南</a> <a href="/tags/551/" title="贵州" class="c1" target="_blank">贵州</a> <a href="/tags/1022/" title="贵州省" class="c1" target="_blank">贵州省</a>  <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/109/" title="东南" class="c1" target="_blank">东南</a> <a href="/tags/551/" title="贵州" class="c1" target="_blank">贵州</a> <a href="/tags/1022/" title="贵州省" class="c1" target="_blank">贵州省</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/109/" title="东南" class="c1" target="_blank">东南</a> <a href="/tags/551/" title="贵州" class="c1" target="_blank">贵州</a> <a href="/tags/1022/" title="贵州省" class="c1" target="_blank">贵州省</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/109/" title="东南" class="c1" target="_blank">东南</a> <a href="/tags/551/" title="贵州" class="c1" target="_blank">贵州</a> <a href="/tags/1022/" title="贵州省" class="c1" target="_blank">贵州省</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/109/" title="东南" class="c1" target="_blank">东南</a> <a href="/tags/551/" title="贵州" class="c1" target="_blank">贵州</a> <a href="/tags/1022/" title="贵州省" class="c1" target="_blank">贵州省</a> 等于 <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/109/" title="东南" class="c1" target="_blank">东南</a> <a href="/tags/551/" title="贵州" class="c1" target="_blank">贵州</a> <a href="/tags/1022/" title="贵州省" class="c1" target="_blank">贵州省</a>    <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/109/" title="东南" class="c1" target="_blank">东南</a> <a href="/tags/551/" title="贵州" class="c1" target="_blank">贵州</a> <a href="/tags/1022/" title="贵州省" class="c1" target="_blank">贵州省</a>

Shape14

A <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/109/" title="东南" class="c1" target="_blank">东南</a> <a href="/tags/551/" title="贵州" class="c1" target="_blank">贵州</a> <a href="/tags/1022/" title="贵州省" class="c1" target="_blank">贵州省</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/109/" title="东南" class="c1" target="_blank">东南</a> <a href="/tags/551/" title="贵州" class="c1" target="_blank">贵州</a> <a href="/tags/1022/" title="贵州省" class="c1" target="_blank">贵州省</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/109/" title="东南" class="c1" target="_blank">东南</a> <a href="/tags/551/" title="贵州" class="c1" target="_blank">贵州</a> <a href="/tags/1022/" title="贵州省" class="c1" target="_blank">贵州省</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/109/" title="东南" class="c1" target="_blank">东南</a> <a href="/tags/551/" title="贵州" class="c1" target="_blank">贵州</a> <a href="/tags/1022/" title="贵州省" class="c1" target="_blank">贵州省</a>

【分析】由折叠的性质可得出 <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/109/" title="东南" class="c1" target="_blank">东南</a> <a href="/tags/551/" title="贵州" class="c1" target="_blank">贵州</a> <a href="/tags/1022/" title="贵州省" class="c1" target="_blank">贵州省</a> 的度数,由矩形的性质可得出 <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/109/" title="东南" class="c1" target="_blank">东南</a> <a href="/tags/551/" title="贵州" class="c1" target="_blank">贵州</a> <a href="/tags/1022/" title="贵州省" class="c1" target="_blank">贵州省</a> ,再利用“两直线平行,内错角相等”可求出 <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/109/" title="东南" class="c1" target="_blank">东南</a> <a href="/tags/551/" title="贵州" class="c1" target="_blank">贵州</a> <a href="/tags/1022/" title="贵州省" class="c1" target="_blank">贵州省</a> 的度数.

【解答】解:由折叠的性质可知: <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/109/" title="东南" class="c1" target="_blank">东南</a> <a href="/tags/551/" title="贵州" class="c1" target="_blank">贵州</a> <a href="/tags/1022/" title="贵州省" class="c1" target="_blank">贵州省</a>

 <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/109/" title="东南" class="c1" target="_blank">东南</a> <a href="/tags/551/" title="贵州" class="c1" target="_blank">贵州</a> <a href="/tags/1022/" title="贵州省" class="c1" target="_blank">贵州省</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/109/" title="东南" class="c1" target="_blank">东南</a> <a href="/tags/551/" title="贵州" class="c1" target="_blank">贵州</a> <a href="/tags/1022/" title="贵州省" class="c1" target="_blank">贵州省</a> 为矩形,

 <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/109/" title="东南" class="c1" target="_blank">东南</a> <a href="/tags/551/" title="贵州" class="c1" target="_blank">贵州</a> <a href="/tags/1022/" title="贵州省" class="c1" target="_blank">贵州省</a>

 <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/109/" title="东南" class="c1" target="_blank">东南</a> <a href="/tags/551/" title="贵州" class="c1" target="_blank">贵州</a> <a href="/tags/1022/" title="贵州省" class="c1" target="_blank">贵州省</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/109/" title="东南" class="c1" target="_blank">东南</a> <a href="/tags/551/" title="贵州" class="c1" target="_blank">贵州</a> <a href="/tags/1022/" title="贵州省" class="c1" target="_blank">贵州省</a>

【点评】本题考查了平行线的性质以及矩形的性质,牢记“两直线平行,内错角相等”是解题的关键.

6.(4分)桌上摆着一个由若干个相同的小正方体组成的几何体,其主视图和左视图如图所示,则组成这个几何体的小正方体的个数最多有 <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/109/" title="东南" class="c1" target="_blank">东南</a> <a href="/tags/551/" title="贵州" class="c1" target="_blank">贵州</a> <a href="/tags/1022/" title="贵州省" class="c1" target="_blank">贵州省</a>    <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/109/" title="东南" class="c1" target="_blank">东南</a> <a href="/tags/551/" title="贵州" class="c1" target="_blank">贵州</a> <a href="/tags/1022/" title="贵州省" class="c1" target="_blank">贵州省</a>

Shape15

A12 B8 C14 D13

【分析】易得此几何体有三行,三列,判断出各行各列最多有几个正方体组成即可.

【解答】解:底层正方体最多有9个正方体,第二层最多有4个正方体,所以组成这个几何体的小正方体的个数最多有13个.

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/109/" title="东南" class="c1" target="_blank">东南</a> <a href="/tags/551/" title="贵州" class="c1" target="_blank">贵州</a> <a href="/tags/1022/" title="贵州省" class="c1" target="_blank">贵州省</a>

【点评】本题考查了由三视图判断几何体的知识,解决本题的关键是利用“主视图疯狂盖,左视图拆违章”找到所需最多正方体的个数.

7.(4分)如图, <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/109/" title="东南" class="c1" target="_blank">东南</a> <a href="/tags/551/" title="贵州" class="c1" target="_blank">贵州</a> <a href="/tags/1022/" title="贵州省" class="c1" target="_blank">贵州省</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/109/" title="东南" class="c1" target="_blank">东南</a> <a href="/tags/551/" title="贵州" class="c1" target="_blank">贵州</a> <a href="/tags/1022/" title="贵州省" class="c1" target="_blank">贵州省</a>  <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/109/" title="东南" class="c1" target="_blank">东南</a> <a href="/tags/551/" title="贵州" class="c1" target="_blank">贵州</a> <a href="/tags/1022/" title="贵州省" class="c1" target="_blank">贵州省</a>  <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/109/" title="东南" class="c1" target="_blank">东南</a> <a href="/tags/551/" title="贵州" class="c1" target="_blank">贵州</a> <a href="/tags/1022/" title="贵州省" class="c1" target="_blank">贵州省</a> 的弦, <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/109/" title="东南" class="c1" target="_blank">东南</a> <a href="/tags/551/" title="贵州" class="c1" target="_blank">贵州</a> <a href="/tags/1022/" title="贵州省" class="c1" target="_blank">贵州省</a> ,垂足为 <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/109/" title="东南" class="c1" target="_blank">东南</a> <a href="/tags/551/" title="贵州" class="c1" target="_blank">贵州</a> <a href="/tags/1022/" title="贵州省" class="c1" target="_blank">贵州省</a>  <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/109/" title="东南" class="c1" target="_blank">东南</a> <a href="/tags/551/" title="贵州" class="c1" target="_blank">贵州</a> <a href="/tags/1022/" title="贵州省" class="c1" target="_blank">贵州省</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/109/" title="东南" class="c1" target="_blank">东南</a> <a href="/tags/551/" title="贵州" class="c1" target="_blank">贵州</a> <a href="/tags/1022/" title="贵州省" class="c1" target="_blank">贵州省</a> 的长为 <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/109/" title="东南" class="c1" target="_blank">东南</a> <a href="/tags/551/" title="贵州" class="c1" target="_blank">贵州</a> <a href="/tags/1022/" title="贵州省" class="c1" target="_blank">贵州省</a>    <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/109/" title="东南" class="c1" target="_blank">东南</a> <a href="/tags/551/" title="贵州" class="c1" target="_blank">贵州</a> <a href="/tags/1022/" title="贵州省" class="c1" target="_blank">贵州省</a>

Shape16

A8 B12 C16 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/109/" title="东南" class="c1" target="_blank">东南</a> <a href="/tags/551/" title="贵州" class="c1" target="_blank">贵州</a> <a href="/tags/1022/" title="贵州省" class="c1" target="_blank">贵州省</a>

【分析】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/109/" title="东南" class="c1" target="_blank">东南</a> <a href="/tags/551/" title="贵州" class="c1" target="_blank">贵州</a> <a href="/tags/1022/" title="贵州省" class="c1" target="_blank">贵州省</a> ,先根据 <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/109/" title="东南" class="c1" target="_blank">东南</a> <a href="/tags/551/" title="贵州" class="c1" target="_blank">贵州</a> <a href="/tags/1022/" title="贵州省" class="c1" target="_blank">贵州省</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/109/" title="东南" class="c1" target="_blank">东南</a> <a href="/tags/551/" title="贵州" class="c1" target="_blank">贵州</a> <a href="/tags/1022/" title="贵州省" class="c1" target="_blank">贵州省</a>  <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/109/" title="东南" class="c1" target="_blank">东南</a> <a href="/tags/551/" title="贵州" class="c1" target="_blank">贵州</a> <a href="/tags/1022/" title="贵州省" class="c1" target="_blank">贵州省</a> 求出 <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/109/" title="东南" class="c1" target="_blank">东南</a> <a href="/tags/551/" title="贵州" class="c1" target="_blank">贵州</a> <a href="/tags/1022/" title="贵州省" class="c1" target="_blank">贵州省</a>  <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/109/" title="东南" class="c1" target="_blank">东南</a> <a href="/tags/551/" title="贵州" class="c1" target="_blank">贵州</a> <a href="/tags/1022/" title="贵州省" class="c1" target="_blank">贵州省</a> 的长,再根据勾股定理可求出 <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/109/" title="东南" class="c1" target="_blank">东南</a> <a href="/tags/551/" title="贵州" class="c1" target="_blank">贵州</a> <a href="/tags/1022/" title="贵州省" class="c1" target="_blank">贵州省</a> 的长,进而得出结论.

【解答】解:连接 <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/109/" title="东南" class="c1" target="_blank">东南</a> <a href="/tags/551/" title="贵州" class="c1" target="_blank">贵州</a> <a href="/tags/1022/" title="贵州省" class="c1" target="_blank">贵州省</a>

 <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/109/" title="东南" class="c1" target="_blank">东南</a> <a href="/tags/551/" title="贵州" class="c1" target="_blank">贵州</a> <a href="/tags/1022/" title="贵州省" class="c1" target="_blank">贵州省</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/109/" title="东南" class="c1" target="_blank">东南</a> <a href="/tags/551/" title="贵州" class="c1" target="_blank">贵州</a> <a href="/tags/1022/" title="贵州省" class="c1" target="_blank">贵州省</a>  <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/109/" title="东南" class="c1" target="_blank">东南</a> <a href="/tags/551/" title="贵州" class="c1" target="_blank">贵州</a> <a href="/tags/1022/" title="贵州省" class="c1" target="_blank">贵州省</a>

 <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/109/" title="东南" class="c1" target="_blank">东南</a> <a href="/tags/551/" title="贵州" class="c1" target="_blank">贵州</a> <a href="/tags/1022/" title="贵州省" class="c1" target="_blank">贵州省</a>  <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/109/" title="东南" class="c1" target="_blank">东南</a> <a href="/tags/551/" title="贵州" class="c1" target="_blank">贵州</a> <a href="/tags/1022/" title="贵州省" class="c1" target="_blank">贵州省</a>

 <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/109/" title="东南" class="c1" target="_blank">东南</a> <a href="/tags/551/" title="贵州" class="c1" target="_blank">贵州</a> <a href="/tags/1022/" title="贵州省" class="c1" target="_blank">贵州省</a>

 <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/109/" title="东南" class="c1" target="_blank">东南</a> <a href="/tags/551/" title="贵州" class="c1" target="_blank">贵州</a> <a href="/tags/1022/" title="贵州省" class="c1" target="_blank">贵州省</a>

 <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/109/" title="东南" class="c1" target="_blank">东南</a> <a href="/tags/551/" title="贵州" class="c1" target="_blank">贵州</a> <a href="/tags/1022/" title="贵州省" class="c1" target="_blank">贵州省</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/109/" title="东南" class="c1" target="_blank">东南</a> <a href="/tags/551/" title="贵州" class="c1" target="_blank">贵州</a> <a href="/tags/1022/" title="贵州省" class="c1" target="_blank">贵州省</a>

Shape17

【点评】本题考查的是垂径定理,根据题意作出辅助线,构造出直角三角形是解答此题的关键.

8.(4分)若菱形 <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/109/" title="东南" class="c1" target="_blank">东南</a> <a href="/tags/551/" title="贵州" class="c1" target="_blank">贵州</a> <a href="/tags/1022/" title="贵州省" class="c1" target="_blank">贵州省</a> 的一条对角线长为8,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/109/" title="东南" class="c1" target="_blank">东南</a> <a href="/tags/551/" title="贵州" class="c1" target="_blank">贵州</a> <a href="/tags/1022/" title="贵州省" class="c1" target="_blank">贵州省</a> 的长是方程 <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/109/" title="东南" class="c1" target="_blank">东南</a> <a href="/tags/551/" title="贵州" class="c1" target="_blank">贵州</a> <a href="/tags/1022/" title="贵州省" class="c1" target="_blank">贵州省</a> 的一个根,则该菱形 <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/109/" title="东南" class="c1" target="_blank">东南</a> <a href="/tags/551/" title="贵州" class="c1" target="_blank">贵州</a> <a href="/tags/1022/" title="贵州省" class="c1" target="_blank">贵州省</a> 的周长为 <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/109/" title="东南" class="c1" target="_blank">东南</a> <a href="/tags/551/" title="贵州" class="c1" target="_blank">贵州</a> <a href="/tags/1022/" title="贵州省" class="c1" target="_blank">贵州省</a>    <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/109/" title="东南" class="c1" target="_blank">东南</a> <a href="/tags/551/" title="贵州" class="c1" target="_blank">贵州</a> <a href="/tags/1022/" title="贵州省" class="c1" target="_blank">贵州省</a>

A16 B24 C1624 D48

【分析】解方程得出 <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/109/" title="东南" class="c1" target="_blank">东南</a> <a href="/tags/551/" title="贵州" class="c1" target="_blank">贵州</a> <a href="/tags/1022/" title="贵州省" class="c1" target="_blank">贵州省</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/109/" title="东南" class="c1" target="_blank">东南</a> <a href="/tags/551/" title="贵州" class="c1" target="_blank">贵州</a> <a href="/tags/1022/" title="贵州省" class="c1" target="_blank">贵州省</a> ,分两种情况: <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/109/" title="东南" class="c1" target="_blank">东南</a> <a href="/tags/551/" title="贵州" class="c1" target="_blank">贵州</a> <a href="/tags/1022/" title="贵州省" class="c1" target="_blank">贵州省</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/109/" title="东南" class="c1" target="_blank">东南</a> <a href="/tags/551/" title="贵州" class="c1" target="_blank">贵州</a> <a href="/tags/1022/" title="贵州省" class="c1" target="_blank">贵州省</a> ,不能构成三角形; <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/109/" title="东南" class="c1" target="_blank">东南</a> <a href="/tags/551/" title="贵州" class="c1" target="_blank">贵州</a> <a href="/tags/1022/" title="贵州省" class="c1" target="_blank">贵州省</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/109/" title="东南" class="c1" target="_blank">东南</a> <a href="/tags/551/" title="贵州" class="c1" target="_blank">贵州</a> <a href="/tags/1022/" title="贵州省" class="c1" target="_blank">贵州省</a> ,即可得出菱形 <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/109/" title="东南" class="c1" target="_blank">东南</a> <a href="/tags/551/" title="贵州" class="c1" target="_blank">贵州</a> <a href="/tags/1022/" title="贵州省" class="c1" target="_blank">贵州省</a> 的周长.

【解答】解:如图所示:

 <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/109/" title="东南" class="c1" target="_blank">东南</a> <a href="/tags/551/" title="贵州" class="c1" target="_blank">贵州</a> <a href="/tags/1022/" title="贵州省" class="c1" target="_blank">贵州省</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/109/" title="东南" class="c1" target="_blank">东南</a> <a href="/tags/551/" title="贵州" class="c1" target="_blank">贵州</a> <a href="/tags/1022/" title="贵州省" class="c1" target="_blank">贵州省</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/109/" title="东南" class="c1" target="_blank">东南</a> <a href="/tags/551/" title="贵州" class="c1" target="_blank">贵州</a> <a href="/tags/1022/" title="贵州省" class="c1" target="_blank">贵州省</a>

 <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/109/" title="东南" class="c1" target="_blank">东南</a> <a href="/tags/551/" title="贵州" class="c1" target="_blank">贵州</a> <a href="/tags/1022/" title="贵州省" class="c1" target="_blank">贵州省</a>

因式分解得: <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/109/" title="东南" class="c1" target="_blank">东南</a> <a href="/tags/551/" title="贵州" class="c1" target="_blank">贵州</a> <a href="/tags/1022/" title="贵州省" class="c1" target="_blank">贵州省</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/109/" title="东南" class="c1" target="_blank">东南</a> <a href="/tags/551/" title="贵州" class="c1" target="_blank">贵州</a> <a href="/tags/1022/" title="贵州省" class="c1" target="_blank">贵州省</a>  <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/109/" title="东南" class="c1" target="_blank">东南</a> <a href="/tags/551/" title="贵州" class="c1" target="_blank">贵州</a> <a href="/tags/1022/" title="贵州省" class="c1" target="_blank">贵州省</a>

分两种情况:

 <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/109/" title="东南" class="c1" target="_blank">东南</a> <a href="/tags/551/" title="贵州" class="c1" target="_blank">贵州</a> <a href="/tags/1022/" title="贵州省" class="c1" target="_blank">贵州省</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/109/" title="东南" class="c1" target="_blank">东南</a> <a href="/tags/551/" title="贵州" class="c1" target="_blank">贵州</a> <a href="/tags/1022/" title="贵州省" class="c1" target="_blank">贵州省</a> ,不能构成三角形;

 <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/109/" title="东南" class="c1" target="_blank">东南</a> <a href="/tags/551/" title="贵州" class="c1" target="_blank">贵州</a> <a href="/tags/1022/" title="贵州省" class="c1" target="_blank">贵州省</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/109/" title="东南" class="c1" target="_blank">东南</a> <a href="/tags/551/" title="贵州" class="c1" target="_blank">贵州</a> <a href="/tags/1022/" title="贵州省" class="c1" target="_blank">贵州省</a>

 <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/109/" title="东南" class="c1" target="_blank">东南</a> <a href="/tags/551/" title="贵州" class="c1" target="_blank">贵州</a> <a href="/tags/1022/" title="贵州省" class="c1" target="_blank">贵州省</a> 菱形 <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/109/" title="东南" class="c1" target="_blank">东南</a> <a href="/tags/551/" title="贵州" class="c1" target="_blank">贵州</a> <a href="/tags/1022/" title="贵州省" class="c1" target="_blank">贵州省</a> 的周长 <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/109/" title="东南" class="c1" target="_blank">东南</a> <a href="/tags/551/" title="贵州" class="c1" target="_blank">贵州</a> <a href="/tags/1022/" title="贵州省" class="c1" target="_blank">贵州省</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/109/" title="东南" class="c1" target="_blank">东南</a> <a href="/tags/551/" title="贵州" class="c1" target="_blank">贵州</a> <a href="/tags/1022/" title="贵州省" class="c1" target="_blank">贵州省</a>

Shape18

【点评】本题考查了菱形的性质、一元二次方程的解法、三角形的三边关系;熟练掌握菱形的性质,由三角形的三边关系得出 <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/109/" title="东南" class="c1" target="_blank">东南</a> <a href="/tags/551/" title="贵州" class="c1" target="_blank">贵州</a> <a href="/tags/1022/" title="贵州省" class="c1" target="_blank">贵州省</a> 是解决问题的关键.

9.(4分)如图,点 <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/109/" title="东南" class="c1" target="_blank">东南</a> <a href="/tags/551/" title="贵州" class="c1" target="_blank">贵州</a> <a href="/tags/1022/" title="贵州省" class="c1" target="_blank">贵州省</a> 是反比例函数 <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/109/" title="东南" class="c1" target="_blank">东南</a> <a href="/tags/551/" title="贵州" class="c1" target="_blank">贵州</a> <a href="/tags/1022/" title="贵州省" class="c1" target="_blank">贵州省</a> 上的一点,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/109/" title="东南" class="c1" target="_blank">东南</a> <a href="/tags/551/" title="贵州" class="c1" target="_blank">贵州</a> <a href="/tags/1022/" title="贵州省" class="c1" target="_blank">贵州省</a>  <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/109/" title="东南" class="c1" target="_blank">东南</a> <a href="/tags/551/" title="贵州" class="c1" target="_blank">贵州</a> <a href="/tags/1022/" title="贵州省" class="c1" target="_blank">贵州省</a> 轴,垂足为点 <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/109/" title="东南" class="c1" target="_blank">东南</a> <a href="/tags/551/" title="贵州" class="c1" target="_blank">贵州</a> <a href="/tags/1022/" title="贵州省" class="c1" target="_blank">贵州省</a>  <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/109/" title="东南" class="c1" target="_blank">东南</a> <a href="/tags/551/" title="贵州" class="c1" target="_blank">贵州</a> <a href="/tags/1022/" title="贵州省" class="c1" target="_blank">贵州省</a> 交反比例函数 <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/109/" title="东南" class="c1" target="_blank">东南</a> <a href="/tags/551/" title="贵州" class="c1" target="_blank">贵州</a> <a href="/tags/1022/" title="贵州省" class="c1" target="_blank">贵州省</a> 的图象于点 <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/109/" title="东南" class="c1" target="_blank">东南</a> <a href="/tags/551/" title="贵州" class="c1" target="_blank">贵州</a> <a href="/tags/1022/" title="贵州省" class="c1" target="_blank">贵州省</a> ,点 <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/109/" title="东南" class="c1" target="_blank">东南</a> <a href="/tags/551/" title="贵州" class="c1" target="_blank">贵州</a> <a href="/tags/1022/" title="贵州省" class="c1" target="_blank">贵州省</a>  <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/109/" title="东南" class="c1" target="_blank">东南</a> <a href="/tags/551/" title="贵州" class="c1" target="_blank">贵州</a> <a href="/tags/1022/" title="贵州省" class="c1" target="_blank">贵州省</a> 轴上的动点,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/109/" title="东南" class="c1" target="_blank">东南</a> <a href="/tags/551/" title="贵州" class="c1" target="_blank">贵州</a> <a href="/tags/1022/" title="贵州省" class="c1" target="_blank">贵州省</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/109/" title="东南" class="c1" target="_blank">东南</a> <a href="/tags/551/" title="贵州" class="c1" target="_blank">贵州</a> <a href="/tags/1022/" title="贵州省" class="c1" target="_blank">贵州省</a>    <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/109/" title="东南" class="c1" target="_blank">东南</a> <a href="/tags/551/" title="贵州" class="c1" target="_blank">贵州</a> <a href="/tags/1022/" title="贵州省" class="c1" target="_blank">贵州省</a>

Shape19

A2 B4 C6 D8

【分析】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/109/" title="东南" class="c1" target="_blank">东南</a> <a href="/tags/551/" title="贵州" class="c1" target="_blank">贵州</a> <a href="/tags/1022/" title="贵州省" class="c1" target="_blank">贵州省</a>  <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/109/" title="东南" class="c1" target="_blank">东南</a> <a href="/tags/551/" title="贵州" class="c1" target="_blank">贵州</a> <a href="/tags/1022/" title="贵州省" class="c1" target="_blank">贵州省</a>  <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/109/" title="东南" class="c1" target="_blank">东南</a> <a href="/tags/551/" title="贵州" class="c1" target="_blank">贵州</a> <a href="/tags/1022/" title="贵州省" class="c1" target="_blank">贵州省</a> .由于 <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/109/" title="东南" class="c1" target="_blank">东南</a> <a href="/tags/551/" title="贵州" class="c1" target="_blank">贵州</a> <a href="/tags/1022/" title="贵州省" class="c1" target="_blank">贵州省</a> 轴,根据三角形的面积公式以及反比例函数比例系数 <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/109/" title="东南" class="c1" target="_blank">东南</a> <a href="/tags/551/" title="贵州" class="c1" target="_blank">贵州</a> <a href="/tags/1022/" title="贵州省" class="c1" target="_blank">贵州省</a> 的几何意义得到 <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/109/" title="东南" class="c1" target="_blank">东南</a> <a href="/tags/551/" title="贵州" class="c1" target="_blank">贵州</a> <a href="/tags/1022/" title="贵州省" class="c1" target="_blank">贵州省</a>  <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/109/" title="东南" class="c1" target="_blank">东南</a> <a href="/tags/551/" title="贵州" class="c1" target="_blank">贵州</a> <a href="/tags/1022/" title="贵州省" class="c1" target="_blank">贵州省</a> ,然后利用 <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/109/" title="东南" class="c1" target="_blank">东南</a> <a href="/tags/551/" title="贵州" class="c1" target="_blank">贵州</a> <a href="/tags/1022/" title="贵州省" class="c1" target="_blank">贵州省</a> 进行计算.

【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/109/" title="东南" class="c1" target="_blank">东南</a> <a href="/tags/551/" title="贵州" class="c1" target="_blank">贵州</a> <a href="/tags/1022/" title="贵州省" class="c1" target="_blank">贵州省</a>  <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/109/" title="东南" class="c1" target="_blank">东南</a> <a href="/tags/551/" title="贵州" class="c1" target="_blank">贵州</a> <a href="/tags/1022/" title="贵州省" class="c1" target="_blank">贵州省</a>  <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/109/" title="东南" class="c1" target="_blank">东南</a> <a href="/tags/551/" title="贵州" class="c1" target="_blank">贵州</a> <a href="/tags/1022/" title="贵州省" class="c1" target="_blank">贵州省</a>

 <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/109/" title="东南" class="c1" target="_blank">东南</a> <a href="/tags/551/" title="贵州" class="c1" target="_blank">贵州</a> <a href="/tags/1022/" title="贵州省" class="c1" target="_blank">贵州省</a> 轴,

 <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/109/" title="东南" class="c1" target="_blank">东南</a> <a href="/tags/551/" title="贵州" class="c1" target="_blank">贵州</a> <a href="/tags/1022/" title="贵州省" class="c1" target="_blank">贵州省</a>  <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/109/" title="东南" class="c1" target="_blank">东南</a> <a href="/tags/551/" title="贵州" class="c1" target="_blank">贵州</a> <a href="/tags/1022/" title="贵州省" class="c1" target="_blank">贵州省</a>

 <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/109/" title="东南" class="c1" target="_blank">东南</a> <a href="/tags/551/" title="贵州" class="c1" target="_blank">贵州</a> <a href="/tags/1022/" title="贵州省" class="c1" target="_blank">贵州省</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/109/" title="东南" class="c1" target="_blank">东南</a> <a href="/tags/551/" title="贵州" class="c1" target="_blank">贵州</a> <a href="/tags/1022/" title="贵州省" class="c1" target="_blank">贵州省</a>

Shape20

【点评】本题考查了反比例函数 <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/109/" title="东南" class="c1" target="_blank">东南</a> <a href="/tags/551/" title="贵州" class="c1" target="_blank">贵州</a> <a href="/tags/1022/" title="贵州省" class="c1" target="_blank">贵州省</a> 系数 <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/109/" title="东南" class="c1" target="_blank">东南</a> <a href="/tags/551/" title="贵州" class="c1" target="_blank">贵州</a> <a href="/tags/1022/" title="贵州省" class="c1" target="_blank">贵州省</a> 的几何意义:即图象上的点与原点所连的线段、坐标轴、向坐标轴作垂线所围成的直角三角形面积 <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/109/" title="东南" class="c1" target="_blank">东南</a> <a href="/tags/551/" title="贵州" class="c1" target="_blank">贵州</a> <a href="/tags/1022/" title="贵州省" class="c1" target="_blank">贵州省</a> 的关系即 <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/109/" title="东南" class="c1" target="_blank">东南</a> <a href="/tags/551/" title="贵州" class="c1" target="_blank">贵州</a> <a href="/tags/1022/" title="贵州省" class="c1" target="_blank">贵州省</a> .也考查了三角形的面积.

10.(4分)如图,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/109/" title="东南" class="c1" target="_blank">东南</a> <a href="/tags/551/" title="贵州" class="c1" target="_blank">贵州</a> <a href="/tags/1022/" title="贵州省" class="c1" target="_blank">贵州省</a> 的边长为2 <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/109/" title="东南" class="c1" target="_blank">东南</a> <a href="/tags/551/" title="贵州" class="c1" target="_blank">贵州</a> <a href="/tags/1022/" title="贵州省" class="c1" target="_blank">贵州省</a> 为对角线的交点,点 <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/109/" title="东南" class="c1" target="_blank">东南</a> <a href="/tags/551/" title="贵州" class="c1" target="_blank">贵州</a> <a href="/tags/1022/" title="贵州省" class="c1" target="_blank">贵州省</a>  <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/109/" title="东南" class="c1" target="_blank">东南</a> <a href="/tags/551/" title="贵州" class="c1" target="_blank">贵州</a> <a href="/tags/1022/" title="贵州省" class="c1" target="_blank">贵州省</a> 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/109/" title="东南" class="c1" target="_blank">东南</a> <a href="/tags/551/" title="贵州" class="c1" target="_blank">贵州</a> <a href="/tags/1022/" title="贵州省" class="c1" target="_blank">贵州省</a>  <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/109/" title="东南" class="c1" target="_blank">东南</a> <a href="/tags/551/" title="贵州" class="c1" target="_blank">贵州</a> <a href="/tags/1022/" title="贵州省" class="c1" target="_blank">贵州省</a> 的中点.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/109/" title="东南" class="c1" target="_blank">东南</a> <a href="/tags/551/" title="贵州" class="c1" target="_blank">贵州</a> <a href="/tags/1022/" title="贵州省" class="c1" target="_blank">贵州省</a> 为圆心,2为半径作圆弧 <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/109/" title="东南" class="c1" target="_blank">东南</a> <a href="/tags/551/" title="贵州" class="c1" target="_blank">贵州</a> <a href="/tags/1022/" title="贵州省" class="c1" target="_blank">贵州省</a> ,再分别以 <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/109/" title="东南" class="c1" target="_blank">东南</a> <a href="/tags/551/" title="贵州" class="c1" target="_blank">贵州</a> <a href="/tags/1022/" title="贵州省" class="c1" target="_blank">贵州省</a>  <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/109/" title="东南" class="c1" target="_blank">东南</a> <a href="/tags/551/" title="贵州" class="c1" target="_blank">贵州</a> <a href="/tags/1022/" title="贵州省" class="c1" target="_blank">贵州省</a> 为圆心,1为半径作圆弧 <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/109/" title="东南" class="c1" target="_blank">东南</a> <a href="/tags/551/" title="贵州" class="c1" target="_blank">贵州</a> <a href="/tags/1022/" title="贵州省" class="c1" target="_blank">贵州省</a>  <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/109/" title="东南" class="c1" target="_blank">东南</a> <a href="/tags/551/" title="贵州" class="c1" target="_blank">贵州</a> <a href="/tags/1022/" title="贵州省" class="c1" target="_blank">贵州省</a> ,则图中阴影部分的面积为 <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/109/" title="东南" class="c1" target="_blank">东南</a> <a href="/tags/551/" title="贵州" class="c1" target="_blank">贵州</a> <a href="/tags/1022/" title="贵州省" class="c1" target="_blank">贵州省</a>    <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/109/" title="东南" class="c1" target="_blank">东南</a> <a href="/tags/551/" title="贵州" class="c1" target="_blank">贵州</a> <a href="/tags/1022/" title="贵州省" class="c1" target="_blank">贵州省</a>

Shape21

A <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/109/" title="东南" class="c1" target="_blank">东南</a> <a href="/tags/551/" title="贵州" class="c1" target="_blank">贵州</a> <a href="/tags/1022/" title="贵州省" class="c1" target="_blank">贵州省</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/109/" title="东南" class="c1" target="_blank">东南</a> <a href="/tags/551/" title="贵州" class="c1" target="_blank">贵州</a> <a href="/tags/1022/" title="贵州省" class="c1" target="_blank">贵州省</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/109/" title="东南" class="c1" target="_blank">东南</a> <a href="/tags/551/" title="贵州" class="c1" target="_blank">贵州</a> <a href="/tags/1022/" title="贵州省" class="c1" target="_blank">贵州省</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/109/" title="东南" class="c1" target="_blank">东南</a> <a href="/tags/551/" title="贵州" class="c1" target="_blank">贵州</a> <a href="/tags/1022/" title="贵州省" class="c1" target="_blank">贵州省</a>

【分析】根据题意和图形,可知阴影部分的面积是以2为半径的四分之一个圆的面积减去以1为半径的半圆的面积再减去2个以边长为1的正方形的面积减去以1半径的四分之一个圆的面积,本题得以解决.

【解答】解:由题意可得,

阴影部分的面积是: <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/109/" title="东南" class="c1" target="_blank">东南</a> <a href="/tags/551/" title="贵州" class="c1" target="_blank">贵州</a> <a href="/tags/1022/" title="贵州省" class="c1" target="_blank">贵州省</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/109/" title="东南" class="c1" target="_blank">东南</a> <a href="/tags/551/" title="贵州" class="c1" target="_blank">贵州</a> <a href="/tags/1022/" title="贵州省" class="c1" target="_blank">贵州省</a>

【点评】本题考查扇形的面积的计算,解答本题的关键是明确题意,找出所求问题需要的条件,利用数形结合的思想解答.

二.填空题:(每小题3分,10个小题,共30分)

11.(3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/109/" title="东南" class="c1" target="_blank">东南</a> <a href="/tags/551/" title="贵州" class="c1" target="_blank">贵州</a> <a href="/tags/1022/" title="贵州省" class="c1" target="_blank">贵州省</a>   <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/109/" title="东南" class="c1" target="_blank">东南</a> <a href="/tags/551/" title="贵州" class="c1" target="_blank">贵州</a> <a href="/tags/1022/" title="贵州省" class="c1" target="_blank">贵州省</a>  

【分析】根据记忆的内容, <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/109/" title="东南" class="c1" target="_blank">东南</a> <a href="/tags/551/" title="贵州" class="c1" target="_blank">贵州</a> <a href="/tags/1022/" title="贵州省" class="c1" target="_blank">贵州省</a> 即可得出答案.

【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/109/" title="东南" class="c1" target="_blank">东南</a> <a href="/tags/551/" title="贵州" class="c1" target="_blank">贵州</a> <a href="/tags/1022/" title="贵州省" class="c1" target="_blank">贵州省</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/109/" title="东南" class="c1" target="_blank">东南</a> <a href="/tags/551/" title="贵州" class="c1" target="_blank">贵州</a> <a href="/tags/1022/" title="贵州省" class="c1" target="_blank">贵州省</a>

【点评】此题考查了特殊角的三角函数值,属于基础题,注意掌握特殊角的三角函数值,这是需要我们熟练记忆的内容.

12.(3分)2020年以来,新冠肺炎橫行,全球经济遭受巨大损失,人民生命安全受到巨大威胁.截止6月份,全球确诊人数约3200000人,其中3200000用科学记数法表示为  <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/109/" title="东南" class="c1" target="_blank">东南</a> <a href="/tags/551/" title="贵州" class="c1" target="_blank">贵州</a> <a href="/tags/1022/" title="贵州省" class="c1" target="_blank">贵州省</a>  

【分析】科学记数法的表示形式为 <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/109/" title="东南" class="c1" target="_blank">东南</a> <a href="/tags/551/" title="贵州" class="c1" target="_blank">贵州</a> <a href="/tags/1022/" title="贵州省" class="c1" target="_blank">贵州省</a> 的形式,其中 <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/109/" title="东南" class="c1" target="_blank">东南</a> <a href="/tags/551/" title="贵州" class="c1" target="_blank">贵州</a> <a href="/tags/1022/" title="贵州省" class="c1" target="_blank">贵州省</a>  <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/109/" title="东南" class="c1" target="_blank">东南</a> <a href="/tags/551/" title="贵州" class="c1" target="_blank">贵州</a> <a href="/tags/1022/" title="贵州省" class="c1" target="_blank">贵州省</a> 为整数.确定 <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/109/" title="东南" class="c1" target="_blank">东南</a> <a href="/tags/551/" title="贵州" class="c1" target="_blank">贵州</a> <a href="/tags/1022/" title="贵州省" class="c1" target="_blank">贵州省</a> 的值时,要看把原数变成 <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/109/" title="东南" class="c1" target="_blank">东南</a> <a href="/tags/551/" title="贵州" class="c1" target="_blank">贵州</a> <a href="/tags/1022/" title="贵州省" class="c1" target="_blank">贵州省</a> 时,小数点移动了多少位, <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/109/" title="东南" class="c1" target="_blank">东南</a> <a href="/tags/551/" title="贵州" class="c1" target="_blank">贵州</a> <a href="/tags/1022/" title="贵州省" class="c1" target="_blank">贵州省</a> 的绝对值与小数点移动的位数相同.当原数绝对值 <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/109/" title="东南" class="c1" target="_blank">东南</a> <a href="/tags/551/" title="贵州" class="c1" target="_blank">贵州</a> <a href="/tags/1022/" title="贵州省" class="c1" target="_blank">贵州省</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/109/" title="东南" class="c1" target="_blank">东南</a> <a href="/tags/551/" title="贵州" class="c1" target="_blank">贵州</a> <a href="/tags/1022/" title="贵州省" class="c1" target="_blank">贵州省</a> 是正数;当原数的绝对值 <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/109/" title="东南" class="c1" target="_blank">东南</a> <a href="/tags/551/" title="贵州" class="c1" target="_blank">贵州</a> <a href="/tags/1022/" title="贵州省" class="c1" target="_blank">贵州省</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/109/" title="东南" class="c1" target="_blank">东南</a> <a href="/tags/551/" title="贵州" class="c1" target="_blank">贵州</a> <a href="/tags/1022/" title="贵州省" class="c1" target="_blank">贵州省</a> 是负数.

【解答】解: <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/109/" title="东南" class="c1" target="_blank">东南</a> <a href="/tags/551/" title="贵州" class="c1" target="_blank">贵州</a> <a href="/tags/1022/" title="贵州省" class="c1" target="_blank">贵州省</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/109/" title="东南" class="c1" target="_blank">东南</a> <a href="/tags/551/" title="贵州" class="c1" target="_blank">贵州</a> <a href="/tags/1022/" title="贵州省" class="c1" target="_blank">贵州省</a>

【点评】此题考查科学记数法的表示方法.科学记数法的表示形式为 <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/109/" title="东南" class="c1" target="_blank">东南</a> <a href="/tags/551/" title="贵州" class="c1" target="_blank">贵州</a> <a href="/tags/1022/" title="贵州省" class="c1" target="_blank">贵州省</a> 的形式,其中 <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/109/" title="东南" class="c1" target="_blank">东南</a> <a href="/tags/551/" title="贵州" class="c1" target="_blank">贵州</a> <a href="/tags/1022/" title="贵州省" class="c1" target="_blank">贵州省</a>  <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/109/" title="东南" class="c1" target="_blank">东南</a> <a href="/tags/551/" title="贵州" class="c1" target="_blank">贵州</a> <a href="/tags/1022/" title="贵州省" class="c1" target="_blank">贵州省</a> 为整数,表示时关键要正确确定 <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/109/" title="东南" class="c1" target="_blank">东南</a> <a href="/tags/551/" title="贵州" class="c1" target="_blank">贵州</a> <a href="/tags/1022/" title="贵州省" class="c1" target="_blank">贵州省</a> 的值以及 <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/109/" title="东南" class="c1" target="_blank">东南</a> <a href="/tags/551/" title="贵州" class="c1" target="_blank">贵州</a> <a href="/tags/1022/" title="贵州省" class="c1" target="_blank">贵州省</a> 的值.

13.(3分)在实数范围内分解因式: <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/109/" title="东南" class="c1" target="_blank">东南</a> <a href="/tags/551/" title="贵州" class="c1" target="_blank">贵州</a> <a href="/tags/1022/" title="贵州省" class="c1" target="_blank">贵州省</a>   <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/109/" title="东南" class="c1" target="_blank">东南</a> <a href="/tags/551/" title="贵州" class="c1" target="_blank">贵州</a> <a href="/tags/1022/" title="贵州省" class="c1" target="_blank">贵州省</a>  

【分析】本题可先提公因式 <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/109/" title="东南" class="c1" target="_blank">东南</a> <a href="/tags/551/" title="贵州" class="c1" target="_blank">贵州</a> <a href="/tags/1022/" title="贵州省" class="c1" target="_blank">贵州省</a> ,再运用平方差公式分解因式即可求解.

【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/109/" title="东南" class="c1" target="_blank">东南</a> <a href="/tags/551/" title="贵州" class="c1" target="_blank">贵州</a> <a href="/tags/1022/" title="贵州省" class="c1" target="_blank">贵州省</a>

 <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/109/" title="东南" class="c1" target="_blank">东南</a> <a href="/tags/551/" title="贵州" class="c1" target="_blank">贵州</a> <a href="/tags/1022/" title="贵州省" class="c1" target="_blank">贵州省</a>

 <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/109/" title="东南" class="c1" target="_blank">东南</a> <a href="/tags/551/" title="贵州" class="c1" target="_blank">贵州</a> <a href="/tags/1022/" title="贵州省" class="c1" target="_blank">贵州省</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/109/" title="东南" class="c1" target="_blank">东南</a> <a href="/tags/551/" title="贵州" class="c1" target="_blank">贵州</a> <a href="/tags/1022/" title="贵州省" class="c1" target="_blank">贵州省</a>

【点评】本题考查了提公因式法,平方差公式分解因式的方法,正解运用公式法分解因式是关键

14.(3分)不等式组 <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/109/" title="东南" class="c1" target="_blank">东南</a> <a href="/tags/551/" title="贵州" class="c1" target="_blank">贵州</a> <a href="/tags/1022/" title="贵州省" class="c1" target="_blank">贵州省</a> 的解集为  <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/109/" title="东南" class="c1" target="_blank">东南</a> <a href="/tags/551/" title="贵州" class="c1" target="_blank">贵州</a> <a href="/tags/1022/" title="贵州省" class="c1" target="_blank">贵州省</a>  

【分析】先根据解不等式的基本步骤求出每个不等式的解集,再根据“大小小大中间找”可确定不等式组的解集.

【解答】解:解不等式 <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/109/" title="东南" class="c1" target="_blank">东南</a> <a href="/tags/551/" title="贵州" class="c1" target="_blank">贵州</a> <a href="/tags/1022/" title="贵州省" class="c1" target="_blank">贵州省</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/109/" title="东南" class="c1" target="_blank">东南</a> <a href="/tags/551/" title="贵州" class="c1" target="_blank">贵州</a> <a href="/tags/1022/" title="贵州省" class="c1" target="_blank">贵州省</a>

解不等式 <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/109/" title="东南" class="c1" target="_blank">东南</a> <a href="/tags/551/" title="贵州" class="c1" target="_blank">贵州</a> <a href="/tags/1022/" title="贵州省" class="c1" target="_blank">贵州省</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/109/" title="东南" class="c1" target="_blank">东南</a> <a href="/tags/551/" title="贵州" class="c1" target="_blank">贵州</a> <a href="/tags/1022/" title="贵州省" class="c1" target="_blank">贵州省</a>

则不等式组的解集为 <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/109/" title="东南" class="c1" target="_blank">东南</a> <a href="/tags/551/" title="贵州" class="c1" target="_blank">贵州</a> <a href="/tags/1022/" title="贵州省" class="c1" target="_blank">贵州省</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/109/" title="东南" class="c1" target="_blank">东南</a> <a href="/tags/551/" title="贵州" class="c1" target="_blank">贵州</a> <a href="/tags/1022/" title="贵州省" class="c1" target="_blank">贵州省</a>

【点评】本题考查的是解一元一次不等式组,正确求出每一个不等式解集是基础,熟知“同大取大;同小取小;大小小大中间找;大大小小找不到”的原则是解答此题的关键.

15.(3分)把直线 <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/109/" title="东南" class="c1" target="_blank">东南</a> <a href="/tags/551/" title="贵州" class="c1" target="_blank">贵州</a> <a href="/tags/1022/" title="贵州省" class="c1" target="_blank">贵州省</a> 向左平移1个单位长度,再向上平移2个单位长度,则平移后所得直线的解析式为  <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/109/" title="东南" class="c1" target="_blank">东南</a> <a href="/tags/551/" title="贵州" class="c1" target="_blank">贵州</a> <a href="/tags/1022/" title="贵州省" class="c1" target="_blank">贵州省</a>  

【分析】直接利用一次函数的平移规律进而得出答案.

【解答】解:把直线 <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/109/" title="东南" class="c1" target="_blank">东南</a> <a href="/tags/551/" title="贵州" class="c1" target="_blank">贵州</a> <a href="/tags/1022/" title="贵州省" class="c1" target="_blank">贵州省</a> 向左平移1个单位长度,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/109/" title="东南" class="c1" target="_blank">东南</a> <a href="/tags/551/" title="贵州" class="c1" target="_blank">贵州</a> <a href="/tags/1022/" title="贵州省" class="c1" target="_blank">贵州省</a>

再向上平移2个单位长度,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/109/" title="东南" class="c1" target="_blank">东南</a> <a href="/tags/551/" title="贵州" class="c1" target="_blank">贵州</a> <a href="/tags/1022/" title="贵州省" class="c1" target="_blank">贵州省</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/109/" title="东南" class="c1" target="_blank">东南</a> <a href="/tags/551/" title="贵州" class="c1" target="_blank">贵州</a> <a href="/tags/1022/" title="贵州省" class="c1" target="_blank">贵州省</a>

【点评】此题主要考查了一次函数与几何变换,正确掌握平移规律是解题关键.

16.(3分)抛物线 <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/109/" title="东南" class="c1" target="_blank">东南</a> <a href="/tags/551/" title="贵州" class="c1" target="_blank">贵州</a> <a href="/tags/1022/" title="贵州省" class="c1" target="_blank">贵州省</a> 的部分图象如图所示,其与 <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/109/" title="东南" class="c1" target="_blank">东南</a> <a href="/tags/551/" title="贵州" class="c1" target="_blank">贵州</a> <a href="/tags/1022/" title="贵州省" class="c1" target="_blank">贵州省</a> 轴的一个交点坐标为 <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/109/" title="东南" class="c1" target="_blank">东南</a> <a href="/tags/551/" title="贵州" class="c1" target="_blank">贵州</a> <a href="/tags/1022/" title="贵州省" class="c1" target="_blank">贵州省</a> ,对称轴为 <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/109/" title="东南" class="c1" target="_blank">东南</a> <a href="/tags/551/" title="贵州" class="c1" target="_blank">贵州</a> <a href="/tags/1022/" title="贵州省" class="c1" target="_blank">贵州省</a> ,则当 <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/109/" title="东南" class="c1" target="_blank">东南</a> <a href="/tags/551/" title="贵州" class="c1" target="_blank">贵州</a> <a href="/tags/1022/" title="贵州省" class="c1" target="_blank">贵州省</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/109/" title="东南" class="c1" target="_blank">东南</a> <a href="/tags/551/" title="贵州" class="c1" target="_blank">贵州</a> <a href="/tags/1022/" title="贵州省" class="c1" target="_blank">贵州省</a> 的取值范围是  <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/109/" title="东南" class="c1" target="_blank">东南</a> <a href="/tags/551/" title="贵州" class="c1" target="_blank">贵州</a> <a href="/tags/1022/" title="贵州省" class="c1" target="_blank">贵州省</a>  

Shape22

【分析】根据物线与 <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/109/" title="东南" class="c1" target="_blank">东南</a> <a href="/tags/551/" title="贵州" class="c1" target="_blank">贵州</a> <a href="/tags/1022/" title="贵州省" class="c1" target="_blank">贵州省</a> 轴的一个交点坐标和对称轴,由抛物线的对称性可求抛物线与 <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/109/" title="东南" class="c1" target="_blank">东南</a> <a href="/tags/551/" title="贵州" class="c1" target="_blank">贵州</a> <a href="/tags/1022/" title="贵州省" class="c1" target="_blank">贵州省</a> 轴的另一个交点,再根据抛物线的增减性可求当 <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/109/" title="东南" class="c1" target="_blank">东南</a> <a href="/tags/551/" title="贵州" class="c1" target="_blank">贵州</a> <a href="/tags/1022/" title="贵州省" class="c1" target="_blank">贵州省</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/109/" title="东南" class="c1" target="_blank">东南</a> <a href="/tags/551/" title="贵州" class="c1" target="_blank">贵州</a> <a href="/tags/1022/" title="贵州省" class="c1" target="_blank">贵州省</a> 的取值范围.

【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/109/" title="东南" class="c1" target="_blank">东南</a> <a href="/tags/551/" title="贵州" class="c1" target="_blank">贵州</a> <a href="/tags/1022/" title="贵州省" class="c1" target="_blank">贵州省</a> 物线 <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/109/" title="东南" class="c1" target="_blank">东南</a> <a href="/tags/551/" title="贵州" class="c1" target="_blank">贵州</a> <a href="/tags/1022/" title="贵州省" class="c1" target="_blank">贵州省</a>  <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/109/" title="东南" class="c1" target="_blank">东南</a> <a href="/tags/551/" title="贵州" class="c1" target="_blank">贵州</a> <a href="/tags/1022/" title="贵州省" class="c1" target="_blank">贵州省</a> 轴的一个交点坐标为 <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/109/" title="东南" class="c1" target="_blank">东南</a> <a href="/tags/551/" title="贵州" class="c1" target="_blank">贵州</a> <a href="/tags/1022/" title="贵州省" class="c1" target="_blank">贵州省</a> ,对称轴为 <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/109/" title="东南" class="c1" target="_blank">东南</a> <a href="/tags/551/" title="贵州" class="c1" target="_blank">贵州</a> <a href="/tags/1022/" title="贵州省" class="c1" target="_blank">贵州省</a>

 <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/109/" title="东南" class="c1" target="_blank">东南</a> <a href="/tags/551/" title="贵州" class="c1" target="_blank">贵州</a> <a href="/tags/1022/" title="贵州省" class="c1" target="_blank">贵州省</a> 抛物线与 <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/109/" title="东南" class="c1" target="_blank">东南</a> <a href="/tags/551/" title="贵州" class="c1" target="_blank">贵州</a> <a href="/tags/1022/" title="贵州省" class="c1" target="_blank">贵州省</a> 轴的另一个交点为 <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/109/" title="东南" class="c1" target="_blank">东南</a> <a href="/tags/551/" title="贵州" class="c1" target="_blank">贵州</a> <a href="/tags/1022/" title="贵州省" class="c1" target="_blank">贵州省</a>

由图象可知,当 <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/109/" title="东南" class="c1" target="_blank">东南</a> <a href="/tags/551/" title="贵州" class="c1" target="_blank">贵州</a> <a href="/tags/1022/" title="贵州省" class="c1" target="_blank">贵州省</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/109/" title="东南" class="c1" target="_blank">东南</a> <a href="/tags/551/" title="贵州" class="c1" target="_blank">贵州</a> <a href="/tags/1022/" title="贵州省" class="c1" target="_blank">贵州省</a> 的取值范围是 <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/109/" title="东南" class="c1" target="_blank">东南</a> <a href="/tags/551/" title="贵州" class="c1" target="_blank">贵州</a> <a href="/tags/1022/" title="贵州省" class="c1" target="_blank">贵州省</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/109/" title="东南" class="c1" target="_blank">东南</a> <a href="/tags/551/" title="贵州" class="c1" target="_blank">贵州</a> <a href="/tags/1022/" title="贵州省" class="c1" target="_blank">贵州省</a>

【点评】本题考查了抛物线与 <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/109/" title="东南" class="c1" target="_blank">东南</a> <a href="/tags/551/" title="贵州" class="c1" target="_blank">贵州</a> <a href="/tags/1022/" title="贵州省" class="c1" target="_blank">贵州省</a> 轴的交点,二次函数的性质,关键是得到抛物线与 <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/109/" title="东南" class="c1" target="_blank">东南</a> <a href="/tags/551/" title="贵州" class="c1" target="_blank">贵州</a> <a href="/tags/1022/" title="贵州省" class="c1" target="_blank">贵州省</a> 轴的另一个交点.

17.(3分)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/109/" title="东南" class="c1" target="_blank">东南</a> <a href="/tags/551/" title="贵州" class="c1" target="_blank">贵州</a> <a href="/tags/1022/" title="贵州省" class="c1" target="_blank">贵州省</a> 对角线的交点 <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/109/" title="东南" class="c1" target="_blank">东南</a> <a href="/tags/551/" title="贵州" class="c1" target="_blank">贵州</a> <a href="/tags/1022/" title="贵州省" class="c1" target="_blank">贵州省</a> 为原点,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/109/" title="东南" class="c1" target="_blank">东南</a> <a href="/tags/551/" title="贵州" class="c1" target="_blank">贵州</a> <a href="/tags/1022/" title="贵州省" class="c1" target="_blank">贵州省</a> 边的直线为 <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/109/" title="东南" class="c1" target="_blank">东南</a> <a href="/tags/551/" title="贵州" class="c1" target="_blank">贵州</a> <a href="/tags/1022/" title="贵州省" class="c1" target="_blank">贵州省</a> 轴,建立如图所示的平面直角坐标系.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/109/" title="东南" class="c1" target="_blank">东南</a> <a href="/tags/551/" title="贵州" class="c1" target="_blank">贵州</a> <a href="/tags/1022/" title="贵州省" class="c1" target="_blank">贵州省</a> 点坐标为 <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/109/" title="东南" class="c1" target="_blank">东南</a> <a href="/tags/551/" title="贵州" class="c1" target="_blank">贵州</a> <a href="/tags/1022/" title="贵州省" class="c1" target="_blank">贵州省</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/109/" title="东南" class="c1" target="_blank">东南</a> <a href="/tags/551/" title="贵州" class="c1" target="_blank">贵州</a> <a href="/tags/1022/" title="贵州省" class="c1" target="_blank">贵州省</a> 点坐标为  <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/109/" title="东南" class="c1" target="_blank">东南</a> <a href="/tags/551/" title="贵州" class="c1" target="_blank">贵州</a> <a href="/tags/1022/" title="贵州省" class="c1" target="_blank">贵州省</a>  

Shape23

【分析】根据平行四边形是中心对称图形,再根据 <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/109/" title="东南" class="c1" target="_blank">东南</a> <a href="/tags/551/" title="贵州" class="c1" target="_blank">贵州</a> <a href="/tags/1022/" title="贵州省" class="c1" target="_blank">贵州省</a> 对角线的交点 <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/109/" title="东南" class="c1" target="_blank">东南</a> <a href="/tags/551/" title="贵州" class="c1" target="_blank">贵州</a> <a href="/tags/1022/" title="贵州省" class="c1" target="_blank">贵州省</a> 为原点和点 <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/109/" title="东南" class="c1" target="_blank">东南</a> <a href="/tags/551/" title="贵州" class="c1" target="_blank">贵州</a> <a href="/tags/1022/" title="贵州省" class="c1" target="_blank">贵州省</a> 的坐标,即可得到点 <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/109/" title="东南" class="c1" target="_blank">东南</a> <a href="/tags/551/" title="贵州" class="c1" target="_blank">贵州</a> <a href="/tags/1022/" title="贵州省" class="c1" target="_blank">贵州省</a> 的坐标.

【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/109/" title="东南" class="c1" target="_blank">东南</a> <a href="/tags/551/" title="贵州" class="c1" target="_blank">贵州</a> <a href="/tags/1022/" title="贵州省" class="c1" target="_blank">贵州省</a> 对角线的交点 <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/109/" title="东南" class="c1" target="_blank">东南</a> <a href="/tags/551/" title="贵州" class="c1" target="_blank">贵州</a> <a href="/tags/1022/" title="贵州省" class="c1" target="_blank">贵州省</a> 为原点, <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/109/" title="东南" class="c1" target="_blank">东南</a> <a href="/tags/551/" title="贵州" class="c1" target="_blank">贵州</a> <a href="/tags/1022/" title="贵州省" class="c1" target="_blank">贵州省</a> 点坐标为 <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/109/" title="东南" class="c1" target="_blank">东南</a> <a href="/tags/551/" title="贵州" class="c1" target="_blank">贵州</a> <a href="/tags/1022/" title="贵州省" class="c1" target="_blank">贵州省</a>

 <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/109/" title="东南" class="c1" target="_blank">东南</a> <a href="/tags/551/" title="贵州" class="c1" target="_blank">贵州</a> <a href="/tags/1022/" title="贵州省" class="c1" target="_blank">贵州省</a>  <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/109/" title="东南" class="c1" target="_blank">东南</a> <a href="/tags/551/" title="贵州" class="c1" target="_blank">贵州</a> <a href="/tags/1022/" title="贵州省" class="c1" target="_blank">贵州省</a> 的坐标为 <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/109/" title="东南" class="c1" target="_blank">东南</a> <a href="/tags/551/" title="贵州" class="c1" target="_blank">贵州</a> <a href="/tags/1022/" title="贵州省" class="c1" target="_blank">贵州省</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/109/" title="东南" class="c1" target="_blank">东南</a> <a href="/tags/551/" title="贵州" class="c1" target="_blank">贵州</a> <a href="/tags/1022/" title="贵州省" class="c1" target="_blank">贵州省</a>

【点评】本题考查平行四边形的性质、坐标与图形性质,解答本题的关键是明确题意,利用平行四边形的性质解答.

18.(3分)某校九(1)班准备举行一次演讲比赛,甲、乙、丙三人通过抽签方式决定出场顺序,则出场顺序恰好是甲、乙、丙的概率是  <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/109/" title="东南" class="c1" target="_blank">东南</a> <a href="/tags/551/" title="贵州" class="c1" target="_blank">贵州</a> <a href="/tags/1022/" title="贵州省" class="c1" target="_blank">贵州省</a>  

【分析】首先根据题意画出树状图,然后由树状图求得所有等可能的结果与出场顺序恰好是甲、乙、丙的情况,再利用概率公式求解即可求得答案.

【解答】解:画出树状图得:

Shape24

 <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/109/" title="东南" class="c1" target="_blank">东南</a> <a href="/tags/551/" title="贵州" class="c1" target="_blank">贵州</a> <a href="/tags/1022/" title="贵州省" class="c1" target="_blank">贵州省</a> 共有6种等可能的结果,其中出场顺序恰好是甲、乙、丙的只有1种结果,

 <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/109/" title="东南" class="c1" target="_blank">东南</a> <a href="/tags/551/" title="贵州" class="c1" target="_blank">贵州</a> <a href="/tags/1022/" title="贵州省" class="c1" target="_blank">贵州省</a> 出场顺序恰好是甲、乙、丙的概率为 <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/109/" title="东南" class="c1" target="_blank">东南</a> <a href="/tags/551/" title="贵州" class="c1" target="_blank">贵州</a> <a href="/tags/1022/" title="贵州省" class="c1" target="_blank">贵州省</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/109/" title="东南" class="c1" target="_blank">东南</a> <a href="/tags/551/" title="贵州" class="c1" target="_blank">贵州</a> <a href="/tags/1022/" title="贵州省" class="c1" target="_blank">贵州省</a>

【点评】本题考查的是用列表法或画树状图法求概率.列表法或画树状图法可以不重复不遗漏的列出所有可能的结果,列表法适合于两步完成的事件,树状图法适合两步或两步以上完成的事件.注意概率 <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/109/" title="东南" class="c1" target="_blank">东南</a> <a href="/tags/551/" title="贵州" class="c1" target="_blank">贵州</a> <a href="/tags/1022/" title="贵州省" class="c1" target="_blank">贵州省</a> 所求情况数与总情况数之比.

19.(3分)如图, <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/109/" title="东南" class="c1" target="_blank">东南</a> <a href="/tags/551/" title="贵州" class="c1" target="_blank">贵州</a> <a href="/tags/1022/" title="贵州省" class="c1" target="_blank">贵州省</a> 是半圆 <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/109/" title="东南" class="c1" target="_blank">东南</a> <a href="/tags/551/" title="贵州" class="c1" target="_blank">贵州</a> <a href="/tags/1022/" title="贵州省" class="c1" target="_blank">贵州省</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/109/" title="东南" class="c1" target="_blank">东南</a> <a href="/tags/551/" title="贵州" class="c1" target="_blank">贵州</a> <a href="/tags/1022/" title="贵州省" class="c1" target="_blank">贵州省</a>  <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/109/" title="东南" class="c1" target="_blank">东南</a> <a href="/tags/551/" title="贵州" class="c1" target="_blank">贵州</a> <a href="/tags/1022/" title="贵州省" class="c1" target="_blank">贵州省</a>  <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/109/" title="东南" class="c1" target="_blank">东南</a> <a href="/tags/551/" title="贵州" class="c1" target="_blank">贵州</a> <a href="/tags/1022/" title="贵州省" class="c1" target="_blank">贵州省</a> ,则点 <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/109/" title="东南" class="c1" target="_blank">东南</a> <a href="/tags/551/" title="贵州" class="c1" target="_blank">贵州</a> <a href="/tags/1022/" title="贵州省" class="c1" target="_blank">贵州省</a>  <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/109/" title="东南" class="c1" target="_blank">东南</a> <a href="/tags/551/" title="贵州" class="c1" target="_blank">贵州</a> <a href="/tags/1022/" title="贵州省" class="c1" target="_blank">贵州省</a> 的距离 <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/109/" title="东南" class="c1" target="_blank">东南</a> <a href="/tags/551/" title="贵州" class="c1" target="_blank">贵州</a> <a href="/tags/1022/" title="贵州省" class="c1" target="_blank">贵州省</a>   <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/109/" title="东南" class="c1" target="_blank">东南</a> <a href="/tags/551/" title="贵州" class="c1" target="_blank">贵州</a> <a href="/tags/1022/" title="贵州省" class="c1" target="_blank">贵州省</a>  

Shape25

【分析】在等腰 <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/109/" title="东南" class="c1" target="_blank">东南</a> <a href="/tags/551/" title="贵州" class="c1" target="_blank">贵州</a> <a href="/tags/1022/" title="贵州省" class="c1" target="_blank">贵州省</a> 中,顶角 <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/109/" title="东南" class="c1" target="_blank">东南</a> <a href="/tags/551/" title="贵州" class="c1" target="_blank">贵州</a> <a href="/tags/1022/" title="贵州省" class="c1" target="_blank">贵州省</a> ,易求得 <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/109/" title="东南" class="c1" target="_blank">东南</a> <a href="/tags/551/" title="贵州" class="c1" target="_blank">贵州</a> <a href="/tags/1022/" title="贵州省" class="c1" target="_blank">贵州省</a> ;根据等边对等角,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/109/" title="东南" class="c1" target="_blank">东南</a> <a href="/tags/551/" title="贵州" class="c1" target="_blank">贵州</a> <a href="/tags/1022/" title="贵州省" class="c1" target="_blank">贵州省</a> ,由此可得, <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/109/" title="东南" class="c1" target="_blank">东南</a> <a href="/tags/551/" title="贵州" class="c1" target="_blank">贵州</a> <a href="/tags/1022/" title="贵州省" class="c1" target="_blank">贵州省</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/109/" title="东南" class="c1" target="_blank">东南</a> <a href="/tags/551/" title="贵州" class="c1" target="_blank">贵州</a> <a href="/tags/1022/" title="贵州省" class="c1" target="_blank">贵州省</a> 是等腰直角三角形,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/109/" title="东南" class="c1" target="_blank">东南</a> <a href="/tags/551/" title="贵州" class="c1" target="_blank">贵州</a> <a href="/tags/1022/" title="贵州省" class="c1" target="_blank">贵州省</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/109/" title="东南" class="c1" target="_blank">东南</a> <a href="/tags/551/" title="贵州" class="c1" target="_blank">贵州</a> <a href="/tags/1022/" title="贵州省" class="c1" target="_blank">贵州省</a>  <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/109/" title="东南" class="c1" target="_blank">东南</a> <a href="/tags/551/" title="贵州" class="c1" target="_blank">贵州</a> <a href="/tags/1022/" title="贵州省" class="c1" target="_blank">贵州省</a>

 <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/109/" title="东南" class="c1" target="_blank">东南</a> <a href="/tags/551/" title="贵州" class="c1" target="_blank">贵州</a> <a href="/tags/1022/" title="贵州省" class="c1" target="_blank">贵州省</a>

 <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/109/" title="东南" class="c1" target="_blank">东南</a> <a href="/tags/551/" title="贵州" class="c1" target="_blank">贵州</a> <a href="/tags/1022/" title="贵州省" class="c1" target="_blank">贵州省</a>

 <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/109/" title="东南" class="c1" target="_blank">东南</a> <a href="/tags/551/" title="贵州" class="c1" target="_blank">贵州</a> <a href="/tags/1022/" title="贵州省" class="c1" target="_blank">贵州省</a>

 <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/109/" title="东南" class="c1" target="_blank">东南</a> <a href="/tags/551/" title="贵州" class="c1" target="_blank">贵州</a> <a href="/tags/1022/" title="贵州省" class="c1" target="_blank">贵州省</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/109/" title="东南" class="c1" target="_blank">东南</a> <a href="/tags/551/" title="贵州" class="c1" target="_blank">贵州</a> <a href="/tags/1022/" title="贵州省" class="c1" target="_blank">贵州省</a> 是等腰直角三角形,

在等腰 <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/109/" title="东南" class="c1" target="_blank">东南</a> <a href="/tags/551/" title="贵州" class="c1" target="_blank">贵州</a> <a href="/tags/1022/" title="贵州省" class="c1" target="_blank">贵州省</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/109/" title="东南" class="c1" target="_blank">东南</a> <a href="/tags/551/" title="贵州" class="c1" target="_blank">贵州</a> <a href="/tags/1022/" title="贵州省" class="c1" target="_blank">贵州省</a>

因此 <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/109/" title="东南" class="c1" target="_blank">东南</a> <a href="/tags/551/" title="贵州" class="c1" target="_blank">贵州</a> <a href="/tags/1022/" title="贵州省" class="c1" target="_blank">贵州省</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/109/" title="东南" class="c1" target="_blank">东南</a> <a href="/tags/551/" title="贵州" class="c1" target="_blank">贵州</a> <a href="/tags/1022/" title="贵州省" class="c1" target="_blank">贵州省</a>

【点评】本题综合考查了等腰三角形的性质、三角形的内角和定理、解直角三角形等知识的应用.

20.(3分)如图,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/109/" title="东南" class="c1" target="_blank">东南</a> <a href="/tags/551/" title="贵州" class="c1" target="_blank">贵州</a> <a href="/tags/1022/" title="贵州省" class="c1" target="_blank">贵州省</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/109/" title="东南" class="c1" target="_blank">东南</a> <a href="/tags/551/" title="贵州" class="c1" target="_blank">贵州</a> <a href="/tags/1022/" title="贵州省" class="c1" target="_blank">贵州省</a>  <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/109/" title="东南" class="c1" target="_blank">东南</a> <a href="/tags/551/" title="贵州" class="c1" target="_blank">贵州</a> <a href="/tags/1022/" title="贵州省" class="c1" target="_blank">贵州省</a>  <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/109/" title="东南" class="c1" target="_blank">东南</a> <a href="/tags/551/" title="贵州" class="c1" target="_blank">贵州</a> <a href="/tags/1022/" title="贵州省" class="c1" target="_blank">贵州省</a>  <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/109/" title="东南" class="c1" target="_blank">东南</a> <a href="/tags/551/" title="贵州" class="c1" target="_blank">贵州</a> <a href="/tags/1022/" title="贵州省" class="c1" target="_blank">贵州省</a> 的中点,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/109/" title="东南" class="c1" target="_blank">东南</a> <a href="/tags/551/" title="贵州" class="c1" target="_blank">贵州</a> <a href="/tags/1022/" title="贵州省" class="c1" target="_blank">贵州省</a>  <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/109/" title="东南" class="c1" target="_blank">东南</a> <a href="/tags/551/" title="贵州" class="c1" target="_blank">贵州</a> <a href="/tags/1022/" title="贵州省" class="c1" target="_blank">贵州省</a> 交于点 <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/109/" title="东南" class="c1" target="_blank">东南</a> <a href="/tags/551/" title="贵州" class="c1" target="_blank">贵州</a> <a href="/tags/1022/" title="贵州省" class="c1" target="_blank">贵州省</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/109/" title="东南" class="c1" target="_blank">东南</a> <a href="/tags/551/" title="贵州" class="c1" target="_blank">贵州</a> <a href="/tags/1022/" title="贵州省" class="c1" target="_blank">贵州省</a>  <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/109/" title="东南" class="c1" target="_blank">东南</a> <a href="/tags/551/" title="贵州" class="c1" target="_blank">贵州</a> <a href="/tags/1022/" title="贵州省" class="c1" target="_blank">贵州省</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/109/" title="东南" class="c1" target="_blank">东南</a> <a href="/tags/551/" title="贵州" class="c1" target="_blank">贵州</a> <a href="/tags/1022/" title="贵州省" class="c1" target="_blank">贵州省</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/109/" title="东南" class="c1" target="_blank">东南</a> <a href="/tags/551/" title="贵州" class="c1" target="_blank">贵州</a> <a href="/tags/1022/" title="贵州省" class="c1" target="_blank">贵州省</a>   <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/109/" title="东南" class="c1" target="_blank">东南</a> <a href="/tags/551/" title="贵州" class="c1" target="_blank">贵州</a> <a href="/tags/1022/" title="贵州省" class="c1" target="_blank">贵州省</a>  

Shape26

【分析】根据矩形的性质得到 <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/109/" title="东南" class="c1" target="_blank">东南</a> <a href="/tags/551/" title="贵州" class="c1" target="_blank">贵州</a> <a href="/tags/1022/" title="贵州省" class="c1" target="_blank">贵州省</a>  <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/109/" title="东南" class="c1" target="_blank">东南</a> <a href="/tags/551/" title="贵州" class="c1" target="_blank">贵州</a> <a href="/tags/1022/" title="贵州省" class="c1" target="_blank">贵州省</a>  <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/109/" title="东南" class="c1" target="_blank">东南</a> <a href="/tags/551/" title="贵州" class="c1" target="_blank">贵州</a> <a href="/tags/1022/" title="贵州省" class="c1" target="_blank">贵州省</a>  <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/109/" title="东南" class="c1" target="_blank">东南</a> <a href="/tags/551/" title="贵州" class="c1" target="_blank">贵州</a> <a href="/tags/1022/" title="贵州省" class="c1" target="_blank">贵州省</a> ,根据线段中点的定义得到 <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/109/" title="东南" class="c1" target="_blank">东南</a> <a href="/tags/551/" title="贵州" class="c1" target="_blank">贵州</a> <a href="/tags/1022/" title="贵州省" class="c1" target="_blank">贵州省</a> ,根据相似三角形的性质即可得到结论.

【解答】解: <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/109/" title="东南" class="c1" target="_blank">东南</a> <a href="/tags/551/" title="贵州" class="c1" target="_blank">贵州</a> <a href="/tags/1022/" title="贵州省" class="c1" target="_blank">贵州省</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/109/" title="东南" class="c1" target="_blank">东南</a> <a href="/tags/551/" title="贵州" class="c1" target="_blank">贵州</a> <a href="/tags/1022/" title="贵州省" class="c1" target="_blank">贵州省</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/109/" title="东南" class="c1" target="_blank">东南</a> <a href="/tags/551/" title="贵州" class="c1" target="_blank">贵州</a> <a href="/tags/1022/" title="贵州省" class="c1" target="_blank">贵州省</a>  <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/109/" title="东南" class="c1" target="_blank">东南</a> <a href="/tags/551/" title="贵州" class="c1" target="_blank">贵州</a> <a href="/tags/1022/" title="贵州省" class="c1" target="_blank">贵州省</a>  <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/109/" title="东南" class="c1" target="_blank">东南</a> <a href="/tags/551/" title="贵州" class="c1" target="_blank">贵州</a> <a href="/tags/1022/" title="贵州省" class="c1" target="_blank">贵州省</a>  <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/109/" title="东南" class="c1" target="_blank">东南</a> <a href="/tags/551/" title="贵州" class="c1" target="_blank">贵州</a> <a href="/tags/1022/" title="贵州省" class="c1" target="_blank">贵州省</a>

 <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/109/" title="东南" class="c1" target="_blank">东南</a> <a href="/tags/551/" title="贵州" class="c1" target="_blank">贵州</a> <a href="/tags/1022/" title="贵州省" class="c1" target="_blank">贵州省</a>  <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/109/" title="东南" class="c1" target="_blank">东南</a> <a href="/tags/551/" title="贵州" class="c1" target="_blank">贵州</a> <a href="/tags/1022/" title="贵州省" class="c1" target="_blank">贵州省</a> 的中点,

 <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/109/" title="东南" class="c1" target="_blank">东南</a> <a href="/tags/551/" title="贵州" class="c1" target="_blank">贵州</a> <a href="/tags/1022/" title="贵州省" class="c1" target="_blank">贵州省</a>

 <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/109/" title="东南" class="c1" target="_blank">东南</a> <a href="/tags/551/" title="贵州" class="c1" target="_blank">贵州</a> <a href="/tags/1022/" title="贵州省" class="c1" target="_blank">贵州省</a>

 <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/109/" title="东南" class="c1" target="_blank">东南</a> <a href="/tags/551/" title="贵州" class="c1" target="_blank">贵州</a> <a href="/tags/1022/" title="贵州省" class="c1" target="_blank">贵州省</a>  <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/109/" title="东南" class="c1" target="_blank">东南</a> <a href="/tags/551/" title="贵州" class="c1" target="_blank">贵州</a> <a href="/tags/1022/" title="贵州省" class="c1" target="_blank">贵州省</a>

 <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/109/" title="东南" class="c1" target="_blank">东南</a> <a href="/tags/551/" title="贵州" class="c1" target="_blank">贵州</a> <a href="/tags/1022/" title="贵州省" class="c1" target="_blank">贵州省</a>  <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/109/" title="东南" class="c1" target="_blank">东南</a> <a href="/tags/551/" title="贵州" class="c1" target="_blank">贵州</a> <a href="/tags/1022/" title="贵州省" class="c1" target="_blank">贵州省</a>

 <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/109/" title="东南" class="c1" target="_blank">东南</a> <a href="/tags/551/" title="贵州" class="c1" target="_blank">贵州</a> <a href="/tags/1022/" title="贵州省" class="c1" target="_blank">贵州省</a>  <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/109/" title="东南" class="c1" target="_blank">东南</a> <a href="/tags/551/" title="贵州" class="c1" target="_blank">贵州</a> <a href="/tags/1022/" title="贵州省" class="c1" target="_blank">贵州省</a>

 <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/109/" title="东南" class="c1" target="_blank">东南</a> <a href="/tags/551/" title="贵州" class="c1" target="_blank">贵州</a> <a href="/tags/1022/" title="贵州省" class="c1" target="_blank">贵州省</a>

 <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/109/" title="东南" class="c1" target="_blank">东南</a> <a href="/tags/551/" title="贵州" class="c1" target="_blank">贵州</a> <a href="/tags/1022/" title="贵州省" class="c1" target="_blank">贵州省</a>

 <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/109/" title="东南" class="c1" target="_blank">东南</a> <a href="/tags/551/" title="贵州" class="c1" target="_blank">贵州</a> <a href="/tags/1022/" title="贵州省" class="c1" target="_blank">贵州省</a>

 <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/109/" title="东南" class="c1" target="_blank">东南</a> <a href="/tags/551/" title="贵州" class="c1" target="_blank">贵州</a> <a href="/tags/1022/" title="贵州省" class="c1" target="_blank">贵州省</a>  <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/109/" title="东南" class="c1" target="_blank">东南</a> <a href="/tags/551/" title="贵州" class="c1" target="_blank">贵州</a> <a href="/tags/1022/" title="贵州省" class="c1" target="_blank">贵州省</a>

 <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/109/" title="东南" class="c1" target="_blank">东南</a> <a href="/tags/551/" title="贵州" class="c1" target="_blank">贵州</a> <a href="/tags/1022/" title="贵州省" class="c1" target="_blank">贵州省</a>

 <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/109/" title="东南" class="c1" target="_blank">东南</a> <a href="/tags/551/" title="贵州" class="c1" target="_blank">贵州</a> <a href="/tags/1022/" title="贵州省" class="c1" target="_blank">贵州省</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/109/" title="东南" class="c1" target="_blank">东南</a> <a href="/tags/551/" title="贵州" class="c1" target="_blank">贵州</a> <a href="/tags/1022/" title="贵州省" class="c1" target="_blank">贵州省</a>

【点评】本题考查了相似三角形的判定和性质,矩形的性质,正确的识别图形是解题的关键.

三、解答题:(6个小题,共80分)

21.(14分)(1)计算: <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/109/" title="东南" class="c1" target="_blank">东南</a> <a href="/tags/551/" title="贵州" class="c1" target="_blank">贵州</a> <a href="/tags/1022/" title="贵州省" class="c1" target="_blank">贵州省</a>

2)先化简,再求值: <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/109/" title="东南" class="c1" target="_blank">东南</a> <a href="/tags/551/" title="贵州" class="c1" target="_blank">贵州</a> <a href="/tags/1022/" title="贵州省" class="c1" target="_blank">贵州省</a> ,其中 <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/109/" title="东南" class="c1" target="_blank">东南</a> <a href="/tags/551/" title="贵州" class="c1" target="_blank">贵州</a> <a href="/tags/1022/" title="贵州省" class="c1" target="_blank">贵州省</a>  <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/109/" title="东南" class="c1" target="_blank">东南</a> <a href="/tags/551/" title="贵州" class="c1" target="_blank">贵州</a> <a href="/tags/1022/" title="贵州省" class="c1" target="_blank">贵州省</a> 23中取一个你认为合适的数代入求值.

【分析】1)先算负整数指数幂,绝对值,特殊角的三角函数值,零指数幂,再算加减法即可求解;

2)先通分,把除法转化成乘法,再把分式的分子与分母因式分解,然后约分,最后代入一个合适的数即可.

【解答】解:(1 <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/109/" title="东南" class="c1" target="_blank">东南</a> <a href="/tags/551/" title="贵州" class="c1" target="_blank">贵州</a> <a href="/tags/1022/" title="贵州省" class="c1" target="_blank">贵州省</a>

 <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/109/" title="东南" class="c1" target="_blank">东南</a> <a href="/tags/551/" title="贵州" class="c1" target="_blank">贵州</a> <a href="/tags/1022/" title="贵州省" class="c1" target="_blank">贵州省</a>

 <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/109/" title="东南" class="c1" target="_blank">东南</a> <a href="/tags/551/" title="贵州" class="c1" target="_blank">贵州</a> <a href="/tags/1022/" title="贵州省" class="c1" target="_blank">贵州省</a>

 <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/109/" title="东南" class="c1" target="_blank">东南</a> <a href="/tags/551/" title="贵州" class="c1" target="_blank">贵州</a> <a href="/tags/1022/" title="贵州省" class="c1" target="_blank">贵州省</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/109/" title="东南" class="c1" target="_blank">东南</a> <a href="/tags/551/" title="贵州" class="c1" target="_blank">贵州</a> <a href="/tags/1022/" title="贵州省" class="c1" target="_blank">贵州省</a>

 <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/109/" title="东南" class="c1" target="_blank">东南</a> <a href="/tags/551/" title="贵州" class="c1" target="_blank">贵州</a> <a href="/tags/1022/" title="贵州省" class="c1" target="_blank">贵州省</a>

 <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/109/" title="东南" class="c1" target="_blank">东南</a> <a href="/tags/551/" title="贵州" class="c1" target="_blank">贵州</a> <a href="/tags/1022/" title="贵州省" class="c1" target="_blank">贵州省</a>

 <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/109/" title="东南" class="c1" target="_blank">东南</a> <a href="/tags/551/" title="贵州" class="c1" target="_blank">贵州</a> <a href="/tags/1022/" title="贵州省" class="c1" target="_blank">贵州省</a>

要使原式有意义,只能 <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/109/" title="东南" class="c1" target="_blank">东南</a> <a href="/tags/551/" title="贵州" class="c1" target="_blank">贵州</a> <a href="/tags/1022/" title="贵州省" class="c1" target="_blank">贵州省</a>

则当 <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/109/" title="东南" class="c1" target="_blank">东南</a> <a href="/tags/551/" title="贵州" class="c1" target="_blank">贵州</a> <a href="/tags/1022/" title="贵州省" class="c1" target="_blank">贵州省</a> 时,原式 <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/109/" title="东南" class="c1" target="_blank">东南</a> <a href="/tags/551/" title="贵州" class="c1" target="_blank">贵州</a> <a href="/tags/1022/" title="贵州省" class="c1" target="_blank">贵州省</a>

【点评】此题考查了分式的化简求值,用到的知识点是分式的减法、除法,关键是利用分式的有关运算法则对要求的式子进行化简.同时考查了负整数指数幂,绝对值,特殊角的三角函数值,零指数幂的计算.

22.(12分)某校对九年级学生进行一次综合文科中考模拟测试,成绩 <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/109/" title="东南" class="c1" target="_blank">东南</a> <a href="/tags/551/" title="贵州" class="c1" target="_blank">贵州</a> <a href="/tags/1022/" title="贵州省" class="c1" target="_blank">贵州省</a>  <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/109/" title="东南" class="c1" target="_blank">东南</a> <a href="/tags/551/" title="贵州" class="c1" target="_blank">贵州</a> <a href="/tags/1022/" title="贵州省" class="c1" target="_blank">贵州省</a> 为整数)评定为优秀、良好、合格、不合格四个等级(优秀、良好、合格、不合格分别用 <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/109/" title="东南" class="c1" target="_blank">东南</a> <a href="/tags/551/" title="贵州" class="c1" target="_blank">贵州</a> <a href="/tags/1022/" title="贵州省" class="c1" target="_blank">贵州省</a>  <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/109/" title="东南" class="c1" target="_blank">东南</a> <a href="/tags/551/" title="贵州" class="c1" target="_blank">贵州</a> <a href="/tags/1022/" title="贵州省" class="c1" target="_blank">贵州省</a>  <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/109/" title="东南" class="c1" target="_blank">东南</a> <a href="/tags/551/" title="贵州" class="c1" target="_blank">贵州</a> <a href="/tags/1022/" title="贵州省" class="c1" target="_blank">贵州省</a>  <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/109/" title="东南" class="c1" target="_blank">东南</a> <a href="/tags/551/" title="贵州" class="c1" target="_blank">贵州</a> <a href="/tags/1022/" title="贵州省" class="c1" target="_blank">贵州省</a> 表示), <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/109/" title="东南" class="c1" target="_blank">东南</a> <a href="/tags/551/" title="贵州" class="c1" target="_blank">贵州</a> <a href="/tags/1022/" title="贵州省" class="c1" target="_blank">贵州省</a> 等级: <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/109/" title="东南" class="c1" target="_blank">东南</a> <a href="/tags/551/" title="贵州" class="c1" target="_blank">贵州</a> <a href="/tags/1022/" title="贵州省" class="c1" target="_blank">贵州省</a>  <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/109/" title="东南" class="c1" target="_blank">东南</a> <a href="/tags/551/" title="贵州" class="c1" target="_blank">贵州</a> <a href="/tags/1022/" title="贵州省" class="c1" target="_blank">贵州省</a> 等级: <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/109/" title="东南" class="c1" target="_blank">东南</a> <a href="/tags/551/" title="贵州" class="c1" target="_blank">贵州</a> <a href="/tags/1022/" title="贵州省" class="c1" target="_blank">贵州省</a>  <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/109/" title="东南" class="c1" target="_blank">东南</a> <a href="/tags/551/" title="贵州" class="c1" target="_blank">贵州</a> <a href="/tags/1022/" title="贵州省" class="c1" target="_blank">贵州省</a> 等级: <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/109/" title="东南" class="c1" target="_blank">东南</a> <a href="/tags/551/" title="贵州" class="c1" target="_blank">贵州</a> <a href="/tags/1022/" title="贵州省" class="c1" target="_blank">贵州省</a>  <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/109/" title="东南" class="c1" target="_blank">东南</a> <a href="/tags/551/" title="贵州" class="c1" target="_blank">贵州</a> <a href="/tags/1022/" title="贵州省" class="c1" target="_blank">贵州省</a> 等级: <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/109/" title="东南" class="c1" target="_blank">东南</a> <a href="/tags/551/" title="贵州" class="c1" target="_blank">贵州</a> <a href="/tags/1022/" title="贵州省" class="c1" target="_blank">贵州省</a> .该校随机抽取了一部分学生的成绩进行调查,并绘制成如图不完整的统计图表.

等级

频数(人数)

频率

 <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/109/" title="东南" class="c1" target="_blank">东南</a> <a href="/tags/551/" title="贵州" class="c1" target="_blank">贵州</a> <a href="/tags/1022/" title="贵州省" class="c1" target="_blank">贵州省</a>

 <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/109/" title="东南" class="c1" target="_blank">东南</a> <a href="/tags/551/" title="贵州" class="c1" target="_blank">贵州</a> <a href="/tags/1022/" title="贵州省" class="c1" target="_blank">贵州省</a>

 <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/109/" title="东南" class="c1" target="_blank">东南</a> <a href="/tags/551/" title="贵州" class="c1" target="_blank">贵州</a> <a href="/tags/1022/" title="贵州省" class="c1" target="_blank">贵州省</a>

 <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/109/" title="东南" class="c1" target="_blank">东南</a> <a href="/tags/551/" title="贵州" class="c1" target="_blank">贵州</a> <a href="/tags/1022/" title="贵州省" class="c1" target="_blank">贵州省</a>

16

 <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/109/" title="东南" class="c1" target="_blank">东南</a> <a href="/tags/551/" title="贵州" class="c1" target="_blank">贵州</a> <a href="/tags/1022/" title="贵州省" class="c1" target="_blank">贵州省</a>

 <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/109/" title="东南" class="c1" target="_blank">东南</a> <a href="/tags/551/" title="贵州" class="c1" target="_blank">贵州</a> <a href="/tags/1022/" title="贵州省" class="c1" target="_blank">贵州省</a>

 <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/109/" title="东南" class="c1" target="_blank">东南</a> <a href="/tags/551/" title="贵州" class="c1" target="_blank">贵州</a> <a href="/tags/1022/" title="贵州省" class="c1" target="_blank">贵州省</a>

 <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/109/" title="东南" class="c1" target="_blank">东南</a> <a href="/tags/551/" title="贵州" class="c1" target="_blank">贵州</a> <a href="/tags/1022/" title="贵州省" class="c1" target="_blank">贵州省</a>

 <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/109/" title="东南" class="c1" target="_blank">东南</a> <a href="/tags/551/" title="贵州" class="c1" target="_blank">贵州</a> <a href="/tags/1022/" title="贵州省" class="c1" target="_blank">贵州省</a>

4

 <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/109/" title="东南" class="c1" target="_blank">东南</a> <a href="/tags/551/" title="贵州" class="c1" target="_blank">贵州</a> <a href="/tags/1022/" title="贵州省" class="c1" target="_blank">贵州省</a>

请你根据统计图表提供的信息解答下列问题:

1)上表中的 <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/109/" title="东南" class="c1" target="_blank">东南</a> <a href="/tags/551/" title="贵州" class="c1" target="_blank">贵州</a> <a href="/tags/1022/" title="贵州省" class="c1" target="_blank">贵州省</a>  8  <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/109/" title="东南" class="c1" target="_blank">东南</a> <a href="/tags/551/" title="贵州" class="c1" target="_blank">贵州</a> <a href="/tags/1022/" title="贵州省" class="c1" target="_blank">贵州省</a>    <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/109/" title="东南" class="c1" target="_blank">东南</a> <a href="/tags/551/" title="贵州" class="c1" target="_blank">贵州</a> <a href="/tags/1022/" title="贵州省" class="c1" target="_blank">贵州省</a>   

2)本次调查共抽取了多少名学生?请补全条形图.

3)若从 <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/109/" title="东南" class="c1" target="_blank">东南</a> <a href="/tags/551/" title="贵州" class="c1" target="_blank">贵州</a> <a href="/tags/1022/" title="贵州省" class="c1" target="_blank">贵州省</a> 等级的4名学生中抽取两名学生进行问卷调查,请用画树状图或列表的方法求抽取的两名学生恰好是一男一女的概率.

Shape27

【分析】1)根据题意列式计算即可得到结论;

2)用 <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/109/" title="东南" class="c1" target="_blank">东南</a> <a href="/tags/551/" title="贵州" class="c1" target="_blank">贵州</a> <a href="/tags/1022/" title="贵州省" class="c1" target="_blank">贵州省</a> 等级人数除以它所占的百分比即可得到调查的总人数;

3)列表将所有等可能的结果列举出来,利用概率公式求解即可.

【解答】解:(1 <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/109/" title="东南" class="c1" target="_blank">东南</a> <a href="/tags/551/" title="贵州" class="c1" target="_blank">贵州</a> <a href="/tags/1022/" title="贵州省" class="c1" target="_blank">贵州省</a>  <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/109/" title="东南" class="c1" target="_blank">东南</a> <a href="/tags/551/" title="贵州" class="c1" target="_blank">贵州</a> <a href="/tags/1022/" title="贵州省" class="c1" target="_blank">贵州省</a>  <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/109/" title="东南" class="c1" target="_blank">东南</a> <a href="/tags/551/" title="贵州" class="c1" target="_blank">贵州</a> <a href="/tags/1022/" title="贵州省" class="c1" target="_blank">贵州省</a>

故答案为:812 <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/109/" title="东南" class="c1" target="_blank">东南</a> <a href="/tags/551/" title="贵州" class="c1" target="_blank">贵州</a> <a href="/tags/1022/" title="贵州省" class="c1" target="_blank">贵州省</a>

2)本次调查共抽取了 <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/109/" title="东南" class="c1" target="_blank">东南</a> <a href="/tags/551/" title="贵州" class="c1" target="_blank">贵州</a> <a href="/tags/1022/" title="贵州省" class="c1" target="_blank">贵州省</a> 名学生;

补全条形图如图所示;

3)将男生分别标记为 <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/109/" title="东南" class="c1" target="_blank">东南</a> <a href="/tags/551/" title="贵州" class="c1" target="_blank">贵州</a> <a href="/tags/1022/" title="贵州省" class="c1" target="_blank">贵州省</a>  <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/109/" title="东南" class="c1" target="_blank">东南</a> <a href="/tags/551/" title="贵州" class="c1" target="_blank">贵州</a> <a href="/tags/1022/" title="贵州省" class="c1" target="_blank">贵州省</a> ,女生标记为 <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/109/" title="东南" class="c1" target="_blank">东南</a> <a href="/tags/551/" title="贵州" class="c1" target="_blank">贵州</a> <a href="/tags/1022/" title="贵州省" class="c1" target="_blank">贵州省</a>  <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/109/" title="东南" class="c1" target="_blank">东南</a> <a href="/tags/551/" title="贵州" class="c1" target="_blank">贵州</a> <a href="/tags/1022/" title="贵州省" class="c1" target="_blank">贵州省</a>


 <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/109/" title="东南" class="c1" target="_blank">东南</a> <a href="/tags/551/" title="贵州" class="c1" target="_blank">贵州</a> <a href="/tags/1022/" title="贵州省" class="c1" target="_blank">贵州省</a>

 <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/109/" title="东南" class="c1" target="_blank">东南</a> <a href="/tags/551/" title="贵州" class="c1" target="_blank">贵州</a> <a href="/tags/1022/" title="贵州省" class="c1" target="_blank">贵州省</a>

 <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/109/" title="东南" class="c1" target="_blank">东南</a> <a href="/tags/551/" title="贵州" class="c1" target="_blank">贵州</a> <a href="/tags/1022/" title="贵州省" class="c1" target="_blank">贵州省</a>

 <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/109/" title="东南" class="c1" target="_blank">东南</a> <a href="/tags/551/" title="贵州" class="c1" target="_blank">贵州</a> <a href="/tags/1022/" title="贵州省" class="c1" target="_blank">贵州省</a>

 <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/109/" title="东南" class="c1" target="_blank">东南</a> <a href="/tags/551/" title="贵州" class="c1" target="_blank">贵州</a> <a href="/tags/1022/" title="贵州省" class="c1" target="_blank">贵州省</a>


 <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/109/" title="东南" class="c1" target="_blank">东南</a> <a href="/tags/551/" title="贵州" class="c1" target="_blank">贵州</a> <a href="/tags/1022/" title="贵州省" class="c1" target="_blank">贵州省</a>

 <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/109/" title="东南" class="c1" target="_blank">东南</a> <a href="/tags/551/" title="贵州" class="c1" target="_blank">贵州</a> <a href="/tags/1022/" title="贵州省" class="c1" target="_blank">贵州省</a>

 <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/109/" title="东南" class="c1" target="_blank">东南</a> <a href="/tags/551/" title="贵州" class="c1" target="_blank">贵州</a> <a href="/tags/1022/" title="贵州省" class="c1" target="_blank">贵州省</a>

 <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/109/" title="东南" class="c1" target="_blank">东南</a> <a href="/tags/551/" title="贵州" class="c1" target="_blank">贵州</a> <a href="/tags/1022/" title="贵州省" class="c1" target="_blank">贵州省</a>

 <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/109/" title="东南" class="c1" target="_blank">东南</a> <a href="/tags/551/" title="贵州" class="c1" target="_blank">贵州</a> <a href="/tags/1022/" title="贵州省" class="c1" target="_blank">贵州省</a>


 <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/109/" title="东南" class="c1" target="_blank">东南</a> <a href="/tags/551/" title="贵州" class="c1" target="_blank">贵州</a> <a href="/tags/1022/" title="贵州省" class="c1" target="_blank">贵州省</a>

 <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/109/" title="东南" class="c1" target="_blank">东南</a> <a href="/tags/551/" title="贵州" class="c1" target="_blank">贵州</a> <a href="/tags/1022/" title="贵州省" class="c1" target="_blank">贵州省</a>

 <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/109/" title="东南" class="c1" target="_blank">东南</a> <a href="/tags/551/" title="贵州" class="c1" target="_blank">贵州</a> <a href="/tags/1022/" title="贵州省" class="c1" target="_blank">贵州省</a>

 <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/109/" title="东南" class="c1" target="_blank">东南</a> <a href="/tags/551/" title="贵州" class="c1" target="_blank">贵州</a> <a href="/tags/1022/" title="贵州省" class="c1" target="_blank">贵州省</a>

 <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/109/" title="东南" class="c1" target="_blank">东南</a> <a href="/tags/551/" title="贵州" class="c1" target="_blank">贵州</a> <a href="/tags/1022/" title="贵州省" class="c1" target="_blank">贵州省</a>


 <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/109/" title="东南" class="c1" target="_blank">东南</a> <a href="/tags/551/" title="贵州" class="c1" target="_blank">贵州</a> <a href="/tags/1022/" title="贵州省" class="c1" target="_blank">贵州省</a>

 <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/109/" title="东南" class="c1" target="_blank">东南</a> <a href="/tags/551/" title="贵州" class="c1" target="_blank">贵州</a> <a href="/tags/1022/" title="贵州省" class="c1" target="_blank">贵州省</a>

 <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/109/" title="东南" class="c1" target="_blank">东南</a> <a href="/tags/551/" title="贵州" class="c1" target="_blank">贵州</a> <a href="/tags/1022/" title="贵州省" class="c1" target="_blank">贵州省</a>

 <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/109/" title="东南" class="c1" target="_blank">东南</a> <a href="/tags/551/" title="贵州" class="c1" target="_blank">贵州</a> <a href="/tags/1022/" title="贵州省" class="c1" target="_blank">贵州省</a>

 <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/109/" title="东南" class="c1" target="_blank">东南</a> <a href="/tags/551/" title="贵州" class="c1" target="_blank">贵州</a> <a href="/tags/1022/" title="贵州省" class="c1" target="_blank">贵州省</a>


 <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/109/" title="东南" class="c1" target="_blank">东南</a> <a href="/tags/551/" title="贵州" class="c1" target="_blank">贵州</a> <a href="/tags/1022/" title="贵州省" class="c1" target="_blank">贵州省</a> 共有12种等可能的结果,恰为一男一女的有8种,

 <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/109/" title="东南" class="c1" target="_blank">东南</a> <a href="/tags/551/" title="贵州" class="c1" target="_blank">贵州</a> <a href="/tags/1022/" title="贵州省" class="c1" target="_blank">贵州省</a> 抽得恰好为“一男一女”的概率为 <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/109/" title="东南" class="c1" target="_blank">东南</a> <a href="/tags/551/" title="贵州" class="c1" target="_blank">贵州</a> <a href="/tags/1022/" title="贵州省" class="c1" target="_blank">贵州省</a>

Shape28

【点评】本题考查了列表与树状图的知识,解题的关键是能够正确的列表,用到的知识点为:概率 <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/109/" title="东南" class="c1" target="_blank">东南</a> <a href="/tags/551/" title="贵州" class="c1" target="_blank">贵州</a> <a href="/tags/1022/" title="贵州省" class="c1" target="_blank">贵州省</a> 所求情况数与总情况数之比.

23.(12分)如图, <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/109/" title="东南" class="c1" target="_blank">东南</a> <a href="/tags/551/" title="贵州" class="c1" target="_blank">贵州</a> <a href="/tags/1022/" title="贵州省" class="c1" target="_blank">贵州省</a>  <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/109/" title="东南" class="c1" target="_blank">东南</a> <a href="/tags/551/" title="贵州" class="c1" target="_blank">贵州</a> <a href="/tags/1022/" title="贵州省" class="c1" target="_blank">贵州省</a> 的直径,点 <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/109/" title="东南" class="c1" target="_blank">东南</a> <a href="/tags/551/" title="贵州" class="c1" target="_blank">贵州</a> <a href="/tags/1022/" title="贵州省" class="c1" target="_blank">贵州省</a>  <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/109/" title="东南" class="c1" target="_blank">东南</a> <a href="/tags/551/" title="贵州" class="c1" target="_blank">贵州</a> <a href="/tags/1022/" title="贵州省" class="c1" target="_blank">贵州省</a> 上一点(与点 <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/109/" title="东南" class="c1" target="_blank">东南</a> <a href="/tags/551/" title="贵州" class="c1" target="_blank">贵州</a> <a href="/tags/1022/" title="贵州省" class="c1" target="_blank">贵州省</a>  <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/109/" title="东南" class="c1" target="_blank">东南</a> <a href="/tags/551/" title="贵州" class="c1" target="_blank">贵州</a> <a href="/tags/1022/" title="贵州省" class="c1" target="_blank">贵州省</a> 不重合),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/109/" title="东南" class="c1" target="_blank">东南</a> <a href="/tags/551/" title="贵州" class="c1" target="_blank">贵州</a> <a href="/tags/1022/" title="贵州省" class="c1" target="_blank">贵州省</a> 作直线 <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/109/" title="东南" class="c1" target="_blank">东南</a> <a href="/tags/551/" title="贵州" class="c1" target="_blank">贵州</a> <a href="/tags/1022/" title="贵州省" class="c1" target="_blank">贵州省</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/109/" title="东南" class="c1" target="_blank">东南</a> <a href="/tags/551/" title="贵州" class="c1" target="_blank">贵州</a> <a href="/tags/1022/" title="贵州省" class="c1" target="_blank">贵州省</a>

1)求证: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/109/" title="东南" class="c1" target="_blank">东南</a> <a href="/tags/551/" title="贵州" class="c1" target="_blank">贵州</a> <a href="/tags/1022/" title="贵州省" class="c1" target="_blank">贵州省</a>  <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/109/" title="东南" class="c1" target="_blank">东南</a> <a href="/tags/551/" title="贵州" class="c1" target="_blank">贵州</a> <a href="/tags/1022/" title="贵州省" class="c1" target="_blank">贵州省</a> 的切线.

2)过点 <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/109/" title="东南" class="c1" target="_blank">东南</a> <a href="/tags/551/" title="贵州" class="c1" target="_blank">贵州</a> <a href="/tags/1022/" title="贵州省" class="c1" target="_blank">贵州省</a>  <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/109/" title="东南" class="c1" target="_blank">东南</a> <a href="/tags/551/" title="贵州" class="c1" target="_blank">贵州</a> <a href="/tags/1022/" title="贵州省" class="c1" target="_blank">贵州省</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/109/" title="东南" class="c1" target="_blank">东南</a> <a href="/tags/551/" title="贵州" class="c1" target="_blank">贵州</a> <a href="/tags/1022/" title="贵州省" class="c1" target="_blank">贵州省</a> ,交 <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/109/" title="东南" class="c1" target="_blank">东南</a> <a href="/tags/551/" title="贵州" class="c1" target="_blank">贵州</a> <a href="/tags/1022/" title="贵州省" class="c1" target="_blank">贵州省</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/109/" title="东南" class="c1" target="_blank">东南</a> <a href="/tags/551/" title="贵州" class="c1" target="_blank">贵州</a> <a href="/tags/1022/" title="贵州省" class="c1" target="_blank">贵州省</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/109/" title="东南" class="c1" target="_blank">东南</a> <a href="/tags/551/" title="贵州" class="c1" target="_blank">贵州</a> <a href="/tags/1022/" title="贵州省" class="c1" target="_blank">贵州省</a> 的半径为2 <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/109/" title="东南" class="c1" target="_blank">东南</a> <a href="/tags/551/" title="贵州" class="c1" target="_blank">贵州</a> <a href="/tags/1022/" title="贵州省" class="c1" target="_blank">贵州省</a> ,求图中阴影部分的面积.

Shape29

【分析】1)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/109/" title="东南" class="c1" target="_blank">东南</a> <a href="/tags/551/" title="贵州" class="c1" target="_blank">贵州</a> <a href="/tags/1022/" title="贵州省" class="c1" target="_blank">贵州省</a> ,由直径所对的圆周角为直角,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/109/" title="东南" class="c1" target="_blank">东南</a> <a href="/tags/551/" title="贵州" class="c1" target="_blank">贵州</a> <a href="/tags/1022/" title="贵州省" class="c1" target="_blank">贵州省</a> ;利用等腰三角形的性质及已知条件 <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/109/" title="东南" class="c1" target="_blank">东南</a> <a href="/tags/551/" title="贵州" class="c1" target="_blank">贵州</a> <a href="/tags/1022/" title="贵州省" class="c1" target="_blank">贵州省</a> ,可求得 <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/109/" title="东南" class="c1" target="_blank">东南</a> <a href="/tags/551/" title="贵州" class="c1" target="_blank">贵州</a> <a href="/tags/1022/" title="贵州省" class="c1" target="_blank">贵州省</a> ,按照切线的判定定理可得结论.

2)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/109/" title="东南" class="c1" target="_blank">东南</a> <a href="/tags/551/" title="贵州" class="c1" target="_blank">贵州</a> <a href="/tags/1022/" title="贵州省" class="c1" target="_blank">贵州省</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/109/" title="东南" class="c1" target="_blank">东南</a> <a href="/tags/551/" title="贵州" class="c1" target="_blank">贵州</a> <a href="/tags/1022/" title="贵州省" class="c1" target="_blank">贵州省</a> ,从而可得 <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/109/" title="东南" class="c1" target="_blank">东南</a> <a href="/tags/551/" title="贵州" class="c1" target="_blank">贵州</a> <a href="/tags/1022/" title="贵州省" class="c1" target="_blank">贵州省</a> 的 度数,进而判定 <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/109/" title="东南" class="c1" target="_blank">东南</a> <a href="/tags/551/" title="贵州" class="c1" target="_blank">贵州</a> <a href="/tags/1022/" title="贵州省" class="c1" target="_blank">贵州省</a> 为等边三角形,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/109/" title="东南" class="c1" target="_blank">东南</a> <a href="/tags/551/" title="贵州" class="c1" target="_blank">贵州</a> <a href="/tags/1022/" title="贵州省" class="c1" target="_blank">贵州省</a> 的度数可得;利用 <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/109/" title="东南" class="c1" target="_blank">东南</a> <a href="/tags/551/" title="贵州" class="c1" target="_blank">贵州</a> <a href="/tags/1022/" title="贵州省" class="c1" target="_blank">贵州省</a> ,可求得答案.

【解答】解:(1)证明: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/109/" title="东南" class="c1" target="_blank">东南</a> <a href="/tags/551/" title="贵州" class="c1" target="_blank">贵州</a> <a href="/tags/1022/" title="贵州省" class="c1" target="_blank">贵州省</a>

Shape30

 <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/109/" title="东南" class="c1" target="_blank">东南</a> <a href="/tags/551/" title="贵州" class="c1" target="_blank">贵州</a> <a href="/tags/1022/" title="贵州省" class="c1" target="_blank">贵州省</a>  <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/109/" title="东南" class="c1" target="_blank">东南</a> <a href="/tags/551/" title="贵州" class="c1" target="_blank">贵州</a> <a href="/tags/1022/" title="贵州省" class="c1" target="_blank">贵州省</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/109/" title="东南" class="c1" target="_blank">东南</a> <a href="/tags/551/" title="贵州" class="c1" target="_blank">贵州</a> <a href="/tags/1022/" title="贵州省" class="c1" target="_blank">贵州省</a>

 <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/109/" title="东南" class="c1" target="_blank">东南</a> <a href="/tags/551/" title="贵州" class="c1" target="_blank">贵州</a> <a href="/tags/1022/" title="贵州省" class="c1" target="_blank">贵州省</a>

 <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/109/" title="东南" class="c1" target="_blank">东南</a> <a href="/tags/551/" title="贵州" class="c1" target="_blank">贵州</a> <a href="/tags/1022/" title="贵州省" class="c1" target="_blank">贵州省</a>

 <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/109/" title="东南" class="c1" target="_blank">东南</a> <a href="/tags/551/" title="贵州" class="c1" target="_blank">贵州</a> <a href="/tags/1022/" title="贵州省" class="c1" target="_blank">贵州省</a>

 <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/109/" title="东南" class="c1" target="_blank">东南</a> <a href="/tags/551/" title="贵州" class="c1" target="_blank">贵州</a> <a href="/tags/1022/" title="贵州省" class="c1" target="_blank">贵州省</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/109/" title="东南" class="c1" target="_blank">东南</a> <a href="/tags/551/" title="贵州" class="c1" target="_blank">贵州</a> <a href="/tags/1022/" title="贵州省" class="c1" target="_blank">贵州省</a>

 <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/109/" title="东南" class="c1" target="_blank">东南</a> <a href="/tags/551/" title="贵州" class="c1" target="_blank">贵州</a> <a href="/tags/1022/" title="贵州省" class="c1" target="_blank">贵州省</a> 直线 <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/109/" title="东南" class="c1" target="_blank">东南</a> <a href="/tags/551/" title="贵州" class="c1" target="_blank">贵州</a> <a href="/tags/1022/" title="贵州省" class="c1" target="_blank">贵州省</a>  <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/109/" title="东南" class="c1" target="_blank">东南</a> <a href="/tags/551/" title="贵州" class="c1" target="_blank">贵州</a> <a href="/tags/1022/" title="贵州省" class="c1" target="_blank">贵州省</a> 的切线.

2)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/109/" title="东南" class="c1" target="_blank">东南</a> <a href="/tags/551/" title="贵州" class="c1" target="_blank">贵州</a> <a href="/tags/1022/" title="贵州省" class="c1" target="_blank">贵州省</a>

 <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/109/" title="东南" class="c1" target="_blank">东南</a> <a href="/tags/551/" title="贵州" class="c1" target="_blank">贵州</a> <a href="/tags/1022/" title="贵州省" class="c1" target="_blank">贵州省</a>  <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/109/" title="东南" class="c1" target="_blank">东南</a> <a href="/tags/551/" title="贵州" class="c1" target="_blank">贵州</a> <a href="/tags/1022/" title="贵州省" class="c1" target="_blank">贵州省</a>

 <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/109/" title="东南" class="c1" target="_blank">东南</a> <a href="/tags/551/" title="贵州" class="c1" target="_blank">贵州</a> <a href="/tags/1022/" title="贵州省" class="c1" target="_blank">贵州省</a>  <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/109/" title="东南" class="c1" target="_blank">东南</a> <a href="/tags/551/" title="贵州" class="c1" target="_blank">贵州</a> <a href="/tags/1022/" title="贵州省" class="c1" target="_blank">贵州省</a>

 <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/109/" title="东南" class="c1" target="_blank">东南</a> <a href="/tags/551/" title="贵州" class="c1" target="_blank">贵州</a> <a href="/tags/1022/" title="贵州省" class="c1" target="_blank">贵州省</a>

 <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/109/" title="东南" class="c1" target="_blank">东南</a> <a href="/tags/551/" title="贵州" class="c1" target="_blank">贵州</a> <a href="/tags/1022/" title="贵州省" class="c1" target="_blank">贵州省</a> 为等边三角形,

 <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/109/" title="东南" class="c1" target="_blank">东南</a> <a href="/tags/551/" title="贵州" class="c1" target="_blank">贵州</a> <a href="/tags/1022/" title="贵州省" class="c1" target="_blank">贵州省</a>

 <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/109/" title="东南" class="c1" target="_blank">东南</a> <a href="/tags/551/" title="贵州" class="c1" target="_blank">贵州</a> <a href="/tags/1022/" title="贵州省" class="c1" target="_blank">贵州省</a>

 <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/109/" title="东南" class="c1" target="_blank">东南</a> <a href="/tags/551/" title="贵州" class="c1" target="_blank">贵州</a> <a href="/tags/1022/" title="贵州省" class="c1" target="_blank">贵州省</a>

 <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/109/" title="东南" class="c1" target="_blank">东南</a> <a href="/tags/551/" title="贵州" class="c1" target="_blank">贵州</a> <a href="/tags/1022/" title="贵州省" class="c1" target="_blank">贵州省</a>

 <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/109/" title="东南" class="c1" target="_blank">东南</a> <a href="/tags/551/" title="贵州" class="c1" target="_blank">贵州</a> <a href="/tags/1022/" title="贵州省" class="c1" target="_blank">贵州省</a>

 <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/109/" title="东南" class="c1" target="_blank">东南</a> <a href="/tags/551/" title="贵州" class="c1" target="_blank">贵州</a> <a href="/tags/1022/" title="贵州省" class="c1" target="_blank">贵州省</a> 图中阴影部分的面积为 <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/109/" title="东南" class="c1" target="_blank">东南</a> <a href="/tags/551/" title="贵州" class="c1" target="_blank">贵州</a> <a href="/tags/1022/" title="贵州省" class="c1" target="_blank">贵州省</a>

【点评】本题考查了切线的判定与性质、等边三角形的判定与性质、解直角三角形及扇形和三角形的面积计算等知识点,熟练掌握相关性质及定理是解题的关键.

24.(14分)黔东南州某超市购进甲、乙两种商品,已知购进3件甲商品和2件乙商品,需60元;购进2件甲商品和3件乙商品,需65元.

1)甲、乙两种商品的进货单价分别是多少?

2)设甲商品的销售单价为 <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/109/" title="东南" class="c1" target="_blank">东南</a> <a href="/tags/551/" title="贵州" class="c1" target="_blank">贵州</a> <a href="/tags/1022/" title="贵州省" class="c1" target="_blank">贵州省</a> (单位:元 <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/109/" title="东南" class="c1" target="_blank">东南</a> <a href="/tags/551/" title="贵州" class="c1" target="_blank">贵州</a> <a href="/tags/1022/" title="贵州省" class="c1" target="_blank">贵州省</a> 件),在销售过程中发现: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/109/" title="东南" class="c1" target="_blank">东南</a> <a href="/tags/551/" title="贵州" class="c1" target="_blank">贵州</a> <a href="/tags/1022/" title="贵州省" class="c1" target="_blank">贵州省</a> 时,甲商品的日销售量 <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/109/" title="东南" class="c1" target="_blank">东南</a> <a href="/tags/551/" title="贵州" class="c1" target="_blank">贵州</a> <a href="/tags/1022/" title="贵州省" class="c1" target="_blank">贵州省</a> (单位:件)与销售单价 <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/109/" title="东南" class="c1" target="_blank">东南</a> <a href="/tags/551/" title="贵州" class="c1" target="_blank">贵州</a> <a href="/tags/1022/" title="贵州省" class="c1" target="_blank">贵州省</a> 之间存在一次函数关系, <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/109/" title="东南" class="c1" target="_blank">东南</a> <a href="/tags/551/" title="贵州" class="c1" target="_blank">贵州</a> <a href="/tags/1022/" title="贵州省" class="c1" target="_blank">贵州省</a>  <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/109/" title="东南" class="c1" target="_blank">东南</a> <a href="/tags/551/" title="贵州" class="c1" target="_blank">贵州</a> <a href="/tags/1022/" title="贵州省" class="c1" target="_blank">贵州省</a> 之间的部分数值对应关系如表:

销售单价 <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/109/" title="东南" class="c1" target="_blank">东南</a> <a href="/tags/551/" title="贵州" class="c1" target="_blank">贵州</a> <a href="/tags/1022/" title="贵州省" class="c1" target="_blank">贵州省</a> (元 <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/109/" title="东南" class="c1" target="_blank">东南</a> <a href="/tags/551/" title="贵州" class="c1" target="_blank">贵州</a> <a href="/tags/1022/" title="贵州省" class="c1" target="_blank">贵州省</a> 件)

11

19

日销售量 <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/109/" title="东南" class="c1" target="_blank">东南</a> <a href="/tags/551/" title="贵州" class="c1" target="_blank">贵州</a> <a href="/tags/1022/" title="贵州省" class="c1" target="_blank">贵州省</a> (件 <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/109/" title="东南" class="c1" target="_blank">东南</a> <a href="/tags/551/" title="贵州" class="c1" target="_blank">贵州</a> <a href="/tags/1022/" title="贵州省" class="c1" target="_blank">贵州省</a>

18

2

请写出当 <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/109/" title="东南" class="c1" target="_blank">东南</a> <a href="/tags/551/" title="贵州" class="c1" target="_blank">贵州</a> <a href="/tags/1022/" title="贵州省" class="c1" target="_blank">贵州省</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/109/" title="东南" class="c1" target="_blank">东南</a> <a href="/tags/551/" title="贵州" class="c1" target="_blank">贵州</a> <a href="/tags/1022/" title="贵州省" class="c1" target="_blank">贵州省</a>  <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/109/" title="东南" class="c1" target="_blank">东南</a> <a href="/tags/551/" title="贵州" class="c1" target="_blank">贵州</a> <a href="/tags/1022/" title="贵州省" class="c1" target="_blank">贵州省</a> 之间的函数关系式.

3)在(2)的条件下,设甲商品的日销售利润为 <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/109/" title="东南" class="c1" target="_blank">东南</a> <a href="/tags/551/" title="贵州" class="c1" target="_blank">贵州</a> <a href="/tags/1022/" title="贵州省" class="c1" target="_blank">贵州省</a> 元,当甲商品的销售单价 <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/109/" title="东南" class="c1" target="_blank">东南</a> <a href="/tags/551/" title="贵州" class="c1" target="_blank">贵州</a> <a href="/tags/1022/" title="贵州省" class="c1" target="_blank">贵州省</a> (元 <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/109/" title="东南" class="c1" target="_blank">东南</a> <a href="/tags/551/" title="贵州" class="c1" target="_blank">贵州</a> <a href="/tags/1022/" title="贵州省" class="c1" target="_blank">贵州省</a> 件)定为多少时,日销售利润最大?最大利润是多少?

【分析】1)设甲、乙两种商品的进货单价分别是 <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/109/" title="东南" class="c1" target="_blank">东南</a> <a href="/tags/551/" title="贵州" class="c1" target="_blank">贵州</a> <a href="/tags/1022/" title="贵州省" class="c1" target="_blank">贵州省</a>  <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/109/" title="东南" class="c1" target="_blank">东南</a> <a href="/tags/551/" title="贵州" class="c1" target="_blank">贵州</a> <a href="/tags/1022/" title="贵州省" class="c1" target="_blank">贵州省</a>  <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/109/" title="东南" class="c1" target="_blank">东南</a> <a href="/tags/551/" title="贵州" class="c1" target="_blank">贵州</a> <a href="/tags/1022/" title="贵州省" class="c1" target="_blank">贵州省</a> 件,由题意得关于 <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/109/" title="东南" class="c1" target="_blank">东南</a> <a href="/tags/551/" title="贵州" class="c1" target="_blank">贵州</a> <a href="/tags/1022/" title="贵州省" class="c1" target="_blank">贵州省</a>  <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/109/" title="东南" class="c1" target="_blank">东南</a> <a href="/tags/551/" title="贵州" class="c1" target="_blank">贵州</a> <a href="/tags/1022/" title="贵州省" class="c1" target="_blank">贵州省</a> 的二元一次方程组,求解即可.

2)设 <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/109/" title="东南" class="c1" target="_blank">东南</a> <a href="/tags/551/" title="贵州" class="c1" target="_blank">贵州</a> <a href="/tags/1022/" title="贵州省" class="c1" target="_blank">贵州省</a>  <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/109/" title="东南" class="c1" target="_blank">东南</a> <a href="/tags/551/" title="贵州" class="c1" target="_blank">贵州</a> <a href="/tags/1022/" title="贵州省" class="c1" target="_blank">贵州省</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/109/" title="东南" class="c1" target="_blank">东南</a> <a href="/tags/551/" title="贵州" class="c1" target="_blank">贵州</a> <a href="/tags/1022/" title="贵州省" class="c1" target="_blank">贵州省</a> ,用待定系数法求解即可.

3)根据利润等于每件的利润乘以销售量列出函数关系式,然后写成顶点式,按照二次函数的性质可得答案.

【解答】解:(1)设甲、乙两种商品的进货单价分别是 <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/109/" title="东南" class="c1" target="_blank">东南</a> <a href="/tags/551/" title="贵州" class="c1" target="_blank">贵州</a> <a href="/tags/1022/" title="贵州省" class="c1" target="_blank">贵州省</a>  <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/109/" title="东南" class="c1" target="_blank">东南</a> <a href="/tags/551/" title="贵州" class="c1" target="_blank">贵州</a> <a href="/tags/1022/" title="贵州省" class="c1" target="_blank">贵州省</a>  <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/109/" title="东南" class="c1" target="_blank">东南</a> <a href="/tags/551/" title="贵州" class="c1" target="_blank">贵州</a> <a href="/tags/1022/" title="贵州省" class="c1" target="_blank">贵州省</a> 件,由题意得:

 <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/109/" title="东南" class="c1" target="_blank">东南</a> <a href="/tags/551/" title="贵州" class="c1" target="_blank">贵州</a> <a href="/tags/1022/" title="贵州省" class="c1" target="_blank">贵州省</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/109/" title="东南" class="c1" target="_blank">东南</a> <a href="/tags/551/" title="贵州" class="c1" target="_blank">贵州</a> <a href="/tags/1022/" title="贵州省" class="c1" target="_blank">贵州省</a>

 <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/109/" title="东南" class="c1" target="_blank">东南</a> <a href="/tags/551/" title="贵州" class="c1" target="_blank">贵州</a> <a href="/tags/1022/" title="贵州省" class="c1" target="_blank">贵州省</a> 甲、乙两种商品的进货单价分别是1015 <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/109/" title="东南" class="c1" target="_blank">东南</a> <a href="/tags/551/" title="贵州" class="c1" target="_blank">贵州</a> <a href="/tags/1022/" title="贵州省" class="c1" target="_blank">贵州省</a> 件.

2)设 <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/109/" title="东南" class="c1" target="_blank">东南</a> <a href="/tags/551/" title="贵州" class="c1" target="_blank">贵州</a> <a href="/tags/1022/" title="贵州省" class="c1" target="_blank">贵州省</a>  <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/109/" title="东南" class="c1" target="_blank">东南</a> <a href="/tags/551/" title="贵州" class="c1" target="_blank">贵州</a> <a href="/tags/1022/" title="贵州省" class="c1" target="_blank">贵州省</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/109/" title="东南" class="c1" target="_blank">东南</a> <a href="/tags/551/" title="贵州" class="c1" target="_blank">贵州</a> <a href="/tags/1022/" title="贵州省" class="c1" target="_blank">贵州省</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/109/" title="东南" class="c1" target="_blank">东南</a> <a href="/tags/551/" title="贵州" class="c1" target="_blank">贵州</a> <a href="/tags/1022/" title="贵州省" class="c1" target="_blank">贵州省</a>  <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/109/" title="东南" class="c1" target="_blank">东南</a> <a href="/tags/551/" title="贵州" class="c1" target="_blank">贵州</a> <a href="/tags/1022/" title="贵州省" class="c1" target="_blank">贵州省</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/109/" title="东南" class="c1" target="_blank">东南</a> <a href="/tags/551/" title="贵州" class="c1" target="_blank">贵州</a> <a href="/tags/1022/" title="贵州省" class="c1" target="_blank">贵州省</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/109/" title="东南" class="c1" target="_blank">东南</a> <a href="/tags/551/" title="贵州" class="c1" target="_blank">贵州</a> <a href="/tags/1022/" title="贵州省" class="c1" target="_blank">贵州省</a>

 <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/109/" title="东南" class="c1" target="_blank">东南</a> <a href="/tags/551/" title="贵州" class="c1" target="_blank">贵州</a> <a href="/tags/1022/" title="贵州省" class="c1" target="_blank">贵州省</a>  <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/109/" title="东南" class="c1" target="_blank">东南</a> <a href="/tags/551/" title="贵州" class="c1" target="_blank">贵州</a> <a href="/tags/1022/" title="贵州省" class="c1" target="_blank">贵州省</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/109/" title="东南" class="c1" target="_blank">东南</a> <a href="/tags/551/" title="贵州" class="c1" target="_blank">贵州</a> <a href="/tags/1022/" title="贵州省" class="c1" target="_blank">贵州省</a>

3)由题意得:

 <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/109/" title="东南" class="c1" target="_blank">东南</a> <a href="/tags/551/" title="贵州" class="c1" target="_blank">贵州</a> <a href="/tags/1022/" title="贵州省" class="c1" target="_blank">贵州省</a>

 <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/109/" title="东南" class="c1" target="_blank">东南</a> <a href="/tags/551/" title="贵州" class="c1" target="_blank">贵州</a> <a href="/tags/1022/" title="贵州省" class="c1" target="_blank">贵州省</a>

 <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/109/" title="东南" class="c1" target="_blank">东南</a> <a href="/tags/551/" title="贵州" class="c1" target="_blank">贵州</a> <a href="/tags/1022/" title="贵州省" class="c1" target="_blank">贵州省</a>

 <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/109/" title="东南" class="c1" target="_blank">东南</a> <a href="/tags/551/" title="贵州" class="c1" target="_blank">贵州</a> <a href="/tags/1022/" title="贵州省" class="c1" target="_blank">贵州省</a>  <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/109/" title="东南" class="c1" target="_blank">东南</a> <a href="/tags/551/" title="贵州" class="c1" target="_blank">贵州</a> <a href="/tags/1022/" title="贵州省" class="c1" target="_blank">贵州省</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/109/" title="东南" class="c1" target="_blank">东南</a> <a href="/tags/551/" title="贵州" class="c1" target="_blank">贵州</a> <a href="/tags/1022/" title="贵州省" class="c1" target="_blank">贵州省</a> 取得最大值50

 <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/109/" title="东南" class="c1" target="_blank">东南</a> <a href="/tags/551/" title="贵州" class="c1" target="_blank">贵州</a> <a href="/tags/1022/" title="贵州省" class="c1" target="_blank">贵州省</a> 当甲商品的销售单价定为15 <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/109/" title="东南" class="c1" target="_blank">东南</a> <a href="/tags/551/" title="贵州" class="c1" target="_blank">贵州</a> <a href="/tags/1022/" title="贵州省" class="c1" target="_blank">贵州省</a> 件时,日销售利润最大,最大利润是50元.

【点评】本题考查了二元一次方程组和二次函数在实际问题中的应用及待定系数法求一次函数的解析式等知识点,理清题中的数量关系并明确相关函数的性质是解题的关键.

25.(14分)如图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/109/" title="东南" class="c1" target="_blank">东南</a> <a href="/tags/551/" title="贵州" class="c1" target="_blank">贵州</a> <a href="/tags/1022/" title="贵州省" class="c1" target="_blank">贵州省</a>  <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/109/" title="东南" class="c1" target="_blank">东南</a> <a href="/tags/551/" title="贵州" class="c1" target="_blank">贵州</a> <a href="/tags/1022/" title="贵州省" class="c1" target="_blank">贵州省</a> 都是等边三角形.

探究发现

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/109/" title="东南" class="c1" target="_blank">东南</a> <a href="/tags/551/" title="贵州" class="c1" target="_blank">贵州</a> <a href="/tags/1022/" title="贵州省" class="c1" target="_blank">贵州省</a>  <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/109/" title="东南" class="c1" target="_blank">东南</a> <a href="/tags/551/" title="贵州" class="c1" target="_blank">贵州</a> <a href="/tags/1022/" title="贵州省" class="c1" target="_blank">贵州省</a> 是否全等?若全等,加以证明;若不全等,请说明理由.

拓展运用

2)若 <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/109/" title="东南" class="c1" target="_blank">东南</a> <a href="/tags/551/" title="贵州" class="c1" target="_blank">贵州</a> <a href="/tags/1022/" title="贵州省" class="c1" target="_blank">贵州省</a>  <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/109/" title="东南" class="c1" target="_blank">东南</a> <a href="/tags/551/" title="贵州" class="c1" target="_blank">贵州</a> <a href="/tags/1022/" title="贵州省" class="c1" target="_blank">贵州省</a>  <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/109/" title="东南" class="c1" target="_blank">东南</a> <a href="/tags/551/" title="贵州" class="c1" target="_blank">贵州</a> <a href="/tags/1022/" title="贵州省" class="c1" target="_blank">贵州省</a> 三点不在一条直线上, <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/109/" title="东南" class="c1" target="_blank">东南</a> <a href="/tags/551/" title="贵州" class="c1" target="_blank">贵州</a> <a href="/tags/1022/" title="贵州省" class="c1" target="_blank">贵州省</a>  <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/109/" title="东南" class="c1" target="_blank">东南</a> <a href="/tags/551/" title="贵州" class="c1" target="_blank">贵州</a> <a href="/tags/1022/" title="贵州省" class="c1" target="_blank">贵州省</a>  <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/109/" title="东南" class="c1" target="_blank">东南</a> <a href="/tags/551/" title="贵州" class="c1" target="_blank">贵州</a> <a href="/tags/1022/" title="贵州省" class="c1" target="_blank">贵州省</a> ,求 <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/109/" title="东南" class="c1" target="_blank">东南</a> <a href="/tags/551/" title="贵州" class="c1" target="_blank">贵州</a> <a href="/tags/1022/" title="贵州省" class="c1" target="_blank">贵州省</a> 的长.

3)若 <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/109/" title="东南" class="c1" target="_blank">东南</a> <a href="/tags/551/" title="贵州" class="c1" target="_blank">贵州</a> <a href="/tags/1022/" title="贵州省" class="c1" target="_blank">贵州省</a>  <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/109/" title="东南" class="c1" target="_blank">东南</a> <a href="/tags/551/" title="贵州" class="c1" target="_blank">贵州</a> <a href="/tags/1022/" title="贵州省" class="c1" target="_blank">贵州省</a>  <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/109/" title="东南" class="c1" target="_blank">东南</a> <a href="/tags/551/" title="贵州" class="c1" target="_blank">贵州</a> <a href="/tags/1022/" title="贵州省" class="c1" target="_blank">贵州省</a> 三点在一条直线上(如图 <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/109/" title="东南" class="c1" target="_blank">东南</a> <a href="/tags/551/" title="贵州" class="c1" target="_blank">贵州</a> <a href="/tags/1022/" title="贵州省" class="c1" target="_blank">贵州省</a> ,且 <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/109/" title="东南" class="c1" target="_blank">东南</a> <a href="/tags/551/" title="贵州" class="c1" target="_blank">贵州</a> <a href="/tags/1022/" title="贵州省" class="c1" target="_blank">贵州省</a>  <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/109/" title="东南" class="c1" target="_blank">东南</a> <a href="/tags/551/" title="贵州" class="c1" target="_blank">贵州</a> <a href="/tags/1022/" title="贵州省" class="c1" target="_blank">贵州省</a> 的边长分别为12,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/109/" title="东南" class="c1" target="_blank">东南</a> <a href="/tags/551/" title="贵州" class="c1" target="_blank">贵州</a> <a href="/tags/1022/" title="贵州省" class="c1" target="_blank">贵州省</a> 的面积及 <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/109/" title="东南" class="c1" target="_blank">东南</a> <a href="/tags/551/" title="贵州" class="c1" target="_blank">贵州</a> <a href="/tags/1022/" title="贵州省" class="c1" target="_blank">贵州省</a> 的长.

Shape31

【分析】1)依据等式的性质可证明 <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/109/" title="东南" class="c1" target="_blank">东南</a> <a href="/tags/551/" title="贵州" class="c1" target="_blank">贵州</a> <a href="/tags/1022/" title="贵州省" class="c1" target="_blank">贵州省</a> ,然后依据 <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/109/" title="东南" class="c1" target="_blank">东南</a> <a href="/tags/551/" title="贵州" class="c1" target="_blank">贵州</a> <a href="/tags/1022/" title="贵州省" class="c1" target="_blank">贵州省</a> 可证明 <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/109/" title="东南" class="c1" target="_blank">东南</a> <a href="/tags/551/" title="贵州" class="c1" target="_blank">贵州</a> <a href="/tags/1022/" title="贵州省" class="c1" target="_blank">贵州省</a>

2)由(1)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/109/" title="东南" class="c1" target="_blank">东南</a> <a href="/tags/551/" title="贵州" class="c1" target="_blank">贵州</a> <a href="/tags/1022/" title="贵州省" class="c1" target="_blank">贵州省</a> ,利用勾股定理计算 <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/109/" title="东南" class="c1" target="_blank">东南</a> <a href="/tags/551/" title="贵州" class="c1" target="_blank">贵州</a> <a href="/tags/1022/" title="贵州省" class="c1" target="_blank">贵州省</a> 的长,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/109/" title="东南" class="c1" target="_blank">东南</a> <a href="/tags/551/" title="贵州" class="c1" target="_blank">贵州</a> <a href="/tags/1022/" title="贵州省" class="c1" target="_blank">贵州省</a> 的长;

3)如图2,过 <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/109/" title="东南" class="c1" target="_blank">东南</a> <a href="/tags/551/" title="贵州" class="c1" target="_blank">贵州</a> <a href="/tags/1022/" title="贵州省" class="c1" target="_blank">贵州省</a>  <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/109/" title="东南" class="c1" target="_blank">东南</a> <a href="/tags/551/" title="贵州" class="c1" target="_blank">贵州</a> <a href="/tags/1022/" title="贵州省" class="c1" target="_blank">贵州省</a>  <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/109/" title="东南" class="c1" target="_blank">东南</a> <a href="/tags/551/" title="贵州" class="c1" target="_blank">贵州</a> <a href="/tags/1022/" title="贵州省" class="c1" target="_blank">贵州省</a> ,先根据平角的定义得 <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/109/" title="东南" class="c1" target="_blank">东南</a> <a href="/tags/551/" title="贵州" class="c1" target="_blank">贵州</a> <a href="/tags/1022/" title="贵州省" class="c1" target="_blank">贵州省</a> ,利用特殊角的三角函数可得 <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/109/" title="东南" class="c1" target="_blank">东南</a> <a href="/tags/551/" title="贵州" class="c1" target="_blank">贵州</a> <a href="/tags/1022/" title="贵州省" class="c1" target="_blank">贵州省</a> 的长,由三角形面积公式可得 <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/109/" title="东南" class="c1" target="_blank">东南</a> <a href="/tags/551/" title="贵州" class="c1" target="_blank">贵州</a> <a href="/tags/1022/" title="贵州省" class="c1" target="_blank">贵州省</a> 的面积,最后根据勾股定理可得 <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/109/" title="东南" class="c1" target="_blank">东南</a> <a href="/tags/551/" title="贵州" class="c1" target="_blank">贵州</a> <a href="/tags/1022/" title="贵州省" class="c1" target="_blank">贵州省</a> 的长.

【解答】解:(1)全等,理由是:

 <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/109/" title="东南" class="c1" target="_blank">东南</a> <a href="/tags/551/" title="贵州" class="c1" target="_blank">贵州</a> <a href="/tags/1022/" title="贵州省" class="c1" target="_blank">贵州省</a>  <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/109/" title="东南" class="c1" target="_blank">东南</a> <a href="/tags/551/" title="贵州" class="c1" target="_blank">贵州</a> <a href="/tags/1022/" title="贵州省" class="c1" target="_blank">贵州省</a> 都是等边三角形,

 <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/109/" title="东南" class="c1" target="_blank">东南</a> <a href="/tags/551/" title="贵州" class="c1" target="_blank">贵州</a> <a href="/tags/1022/" title="贵州省" class="c1" target="_blank">贵州省</a>  <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/109/" title="东南" class="c1" target="_blank">东南</a> <a href="/tags/551/" title="贵州" class="c1" target="_blank">贵州</a> <a href="/tags/1022/" title="贵州省" class="c1" target="_blank">贵州省</a>  <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/109/" title="东南" class="c1" target="_blank">东南</a> <a href="/tags/551/" title="贵州" class="c1" target="_blank">贵州</a> <a href="/tags/1022/" title="贵州省" class="c1" target="_blank">贵州省</a>

 <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/109/" title="东南" class="c1" target="_blank">东南</a> <a href="/tags/551/" title="贵州" class="c1" target="_blank">贵州</a> <a href="/tags/1022/" title="贵州省" class="c1" target="_blank">贵州省</a>

 <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/109/" title="东南" class="c1" target="_blank">东南</a> <a href="/tags/551/" title="贵州" class="c1" target="_blank">贵州</a> <a href="/tags/1022/" title="贵州省" class="c1" target="_blank">贵州省</a>

 <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/109/" title="东南" class="c1" target="_blank">东南</a> <a href="/tags/551/" title="贵州" class="c1" target="_blank">贵州</a> <a href="/tags/1022/" title="贵州省" class="c1" target="_blank">贵州省</a>  <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/109/" title="东南" class="c1" target="_blank">东南</a> <a href="/tags/551/" title="贵州" class="c1" target="_blank">贵州</a> <a href="/tags/1022/" title="贵州省" class="c1" target="_blank">贵州省</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/109/" title="东南" class="c1" target="_blank">东南</a> <a href="/tags/551/" title="贵州" class="c1" target="_blank">贵州</a> <a href="/tags/1022/" title="贵州省" class="c1" target="_blank">贵州省</a>

 <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/109/" title="东南" class="c1" target="_blank">东南</a> <a href="/tags/551/" title="贵州" class="c1" target="_blank">贵州</a> <a href="/tags/1022/" title="贵州省" class="c1" target="_blank">贵州省</a>  <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/109/" title="东南" class="c1" target="_blank">东南</a> <a href="/tags/551/" title="贵州" class="c1" target="_blank">贵州</a> <a href="/tags/1022/" title="贵州省" class="c1" target="_blank">贵州省</a>

2)如图3,由(1)得: <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/109/" title="东南" class="c1" target="_blank">东南</a> <a href="/tags/551/" title="贵州" class="c1" target="_blank">贵州</a> <a href="/tags/1022/" title="贵州省" class="c1" target="_blank">贵州省</a>

Shape32

 <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/109/" title="东南" class="c1" target="_blank">东南</a> <a href="/tags/551/" title="贵州" class="c1" target="_blank">贵州</a> <a href="/tags/1022/" title="贵州省" class="c1" target="_blank">贵州省</a>

 <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/109/" title="东南" class="c1" target="_blank">东南</a> <a href="/tags/551/" title="贵州" class="c1" target="_blank">贵州</a> <a href="/tags/1022/" title="贵州省" class="c1" target="_blank">贵州省</a> 都是等边三角形,

 <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/109/" title="东南" class="c1" target="_blank">东南</a> <a href="/tags/551/" title="贵州" class="c1" target="_blank">贵州</a> <a href="/tags/1022/" title="贵州省" class="c1" target="_blank">贵州省</a>  <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/109/" title="东南" class="c1" target="_blank">东南</a> <a href="/tags/551/" title="贵州" class="c1" target="_blank">贵州</a> <a href="/tags/1022/" title="贵州省" class="c1" target="_blank">贵州省</a>

 <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/109/" title="东南" class="c1" target="_blank">东南</a> <a href="/tags/551/" title="贵州" class="c1" target="_blank">贵州</a> <a href="/tags/1022/" title="贵州省" class="c1" target="_blank">贵州省</a>

 <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/109/" title="东南" class="c1" target="_blank">东南</a> <a href="/tags/551/" title="贵州" class="c1" target="_blank">贵州</a> <a href="/tags/1022/" title="贵州省" class="c1" target="_blank">贵州省</a>

 <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/109/" title="东南" class="c1" target="_blank">东南</a> <a href="/tags/551/" title="贵州" class="c1" target="_blank">贵州</a> <a href="/tags/1022/" title="贵州省" class="c1" target="_blank">贵州省</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/109/" title="东南" class="c1" target="_blank">东南</a> <a href="/tags/551/" title="贵州" class="c1" target="_blank">贵州</a> <a href="/tags/1022/" title="贵州省" class="c1" target="_blank">贵州省</a>  <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/109/" title="东南" class="c1" target="_blank">东南</a> <a href="/tags/551/" title="贵州" class="c1" target="_blank">贵州</a> <a href="/tags/1022/" title="贵州省" class="c1" target="_blank">贵州省</a>

 <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/109/" title="东南" class="c1" target="_blank">东南</a> <a href="/tags/551/" title="贵州" class="c1" target="_blank">贵州</a> <a href="/tags/1022/" title="贵州省" class="c1" target="_blank">贵州省</a>

 <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/109/" title="东南" class="c1" target="_blank">东南</a> <a href="/tags/551/" title="贵州" class="c1" target="_blank">贵州</a> <a href="/tags/1022/" title="贵州省" class="c1" target="_blank">贵州省</a>

3)如图2,过 <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/109/" title="东南" class="c1" target="_blank">东南</a> <a href="/tags/551/" title="贵州" class="c1" target="_blank">贵州</a> <a href="/tags/1022/" title="贵州省" class="c1" target="_blank">贵州省</a>  <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/109/" title="东南" class="c1" target="_blank">东南</a> <a href="/tags/551/" title="贵州" class="c1" target="_blank">贵州</a> <a href="/tags/1022/" title="贵州省" class="c1" target="_blank">贵州省</a>  <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/109/" title="东南" class="c1" target="_blank">东南</a> <a href="/tags/551/" title="贵州" class="c1" target="_blank">贵州</a> <a href="/tags/1022/" title="贵州省" class="c1" target="_blank">贵州省</a>

Shape33

 <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/109/" title="东南" class="c1" target="_blank">东南</a> <a href="/tags/551/" title="贵州" class="c1" target="_blank">贵州</a> <a href="/tags/1022/" title="贵州省" class="c1" target="_blank">贵州省</a>  <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/109/" title="东南" class="c1" target="_blank">东南</a> <a href="/tags/551/" title="贵州" class="c1" target="_blank">贵州</a> <a href="/tags/1022/" title="贵州省" class="c1" target="_blank">贵州省</a>  <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/109/" title="东南" class="c1" target="_blank">东南</a> <a href="/tags/551/" title="贵州" class="c1" target="_blank">贵州</a> <a href="/tags/1022/" title="贵州省" class="c1" target="_blank">贵州省</a> 三点在一条直线上,

 <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/109/" title="东南" class="c1" target="_blank">东南</a> <a href="/tags/551/" title="贵州" class="c1" target="_blank">贵州</a> <a href="/tags/1022/" title="贵州省" class="c1" target="_blank">贵州省</a>

 <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/109/" title="东南" class="c1" target="_blank">东南</a> <a href="/tags/551/" title="贵州" class="c1" target="_blank">贵州</a> <a href="/tags/1022/" title="贵州省" class="c1" target="_blank">贵州省</a>  <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/109/" title="东南" class="c1" target="_blank">东南</a> <a href="/tags/551/" title="贵州" class="c1" target="_blank">贵州</a> <a href="/tags/1022/" title="贵州省" class="c1" target="_blank">贵州省</a> 都是等边三角形,

 <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/109/" title="东南" class="c1" target="_blank">东南</a> <a href="/tags/551/" title="贵州" class="c1" target="_blank">贵州</a> <a href="/tags/1022/" title="贵州省" class="c1" target="_blank">贵州省</a>

 <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/109/" title="东南" class="c1" target="_blank">东南</a> <a href="/tags/551/" title="贵州" class="c1" target="_blank">贵州</a> <a href="/tags/1022/" title="贵州省" class="c1" target="_blank">贵州省</a>

 <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/109/" title="东南" class="c1" target="_blank">东南</a> <a href="/tags/551/" title="贵州" class="c1" target="_blank">贵州</a> <a href="/tags/1022/" title="贵州省" class="c1" target="_blank">贵州省</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/109/" title="东南" class="c1" target="_blank">东南</a> <a href="/tags/551/" title="贵州" class="c1" target="_blank">贵州</a> <a href="/tags/1022/" title="贵州省" class="c1" target="_blank">贵州省</a>

 <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/109/" title="东南" class="c1" target="_blank">东南</a> <a href="/tags/551/" title="贵州" class="c1" target="_blank">贵州</a> <a href="/tags/1022/" title="贵州省" class="c1" target="_blank">贵州省</a>

 <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/109/" title="东南" class="c1" target="_blank">东南</a> <a href="/tags/551/" title="贵州" class="c1" target="_blank">贵州</a> <a href="/tags/1022/" title="贵州省" class="c1" target="_blank">贵州省</a>

 <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/109/" title="东南" class="c1" target="_blank">东南</a> <a href="/tags/551/" title="贵州" class="c1" target="_blank">贵州</a> <a href="/tags/1022/" title="贵州省" class="c1" target="_blank">贵州省</a>

 <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/109/" title="东南" class="c1" target="_blank">东南</a> <a href="/tags/551/" title="贵州" class="c1" target="_blank">贵州</a> <a href="/tags/1022/" title="贵州省" class="c1" target="_blank">贵州省</a>

 <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/109/" title="东南" class="c1" target="_blank">东南</a> <a href="/tags/551/" title="贵州" class="c1" target="_blank">贵州</a> <a href="/tags/1022/" title="贵州省" class="c1" target="_blank">贵州省</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/109/" title="东南" class="c1" target="_blank">东南</a> <a href="/tags/551/" title="贵州" class="c1" target="_blank">贵州</a> <a href="/tags/1022/" title="贵州省" class="c1" target="_blank">贵州省</a>

 <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/109/" title="东南" class="c1" target="_blank">东南</a> <a href="/tags/551/" title="贵州" class="c1" target="_blank">贵州</a> <a href="/tags/1022/" title="贵州省" class="c1" target="_blank">贵州省</a>

【点评】本题是三角形的综合题,主要考查的是全等三角形的性质、等边三角形的性质,熟练掌握相关性质是解题的关键.

26.(14分)已知抛物线 <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/109/" title="东南" class="c1" target="_blank">东南</a> <a href="/tags/551/" title="贵州" class="c1" target="_blank">贵州</a> <a href="/tags/1022/" title="贵州省" class="c1" target="_blank">贵州省</a>  <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/109/" title="东南" class="c1" target="_blank">东南</a> <a href="/tags/551/" title="贵州" class="c1" target="_blank">贵州</a> <a href="/tags/1022/" title="贵州省" class="c1" target="_blank">贵州省</a> 轴交于 <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/109/" title="东南" class="c1" target="_blank">东南</a> <a href="/tags/551/" title="贵州" class="c1" target="_blank">贵州</a> <a href="/tags/1022/" title="贵州省" class="c1" target="_blank">贵州省</a>  <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/109/" title="东南" class="c1" target="_blank">东南</a> <a href="/tags/551/" title="贵州" class="c1" target="_blank">贵州</a> <a href="/tags/1022/" title="贵州省" class="c1" target="_blank">贵州省</a> 两点(点 <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/109/" title="东南" class="c1" target="_blank">东南</a> <a href="/tags/551/" title="贵州" class="c1" target="_blank">贵州</a> <a href="/tags/1022/" title="贵州省" class="c1" target="_blank">贵州省</a> 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/109/" title="东南" class="c1" target="_blank">东南</a> <a href="/tags/551/" title="贵州" class="c1" target="_blank">贵州</a> <a href="/tags/1022/" title="贵州省" class="c1" target="_blank">贵州省</a> 的左边),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/109/" title="东南" class="c1" target="_blank">东南</a> <a href="/tags/551/" title="贵州" class="c1" target="_blank">贵州</a> <a href="/tags/1022/" title="贵州省" class="c1" target="_blank">贵州省</a> 轴交于点 <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/109/" title="东南" class="c1" target="_blank">东南</a> <a href="/tags/551/" title="贵州" class="c1" target="_blank">贵州</a> <a href="/tags/1022/" title="贵州省" class="c1" target="_blank">贵州省</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/109/" title="东南" class="c1" target="_blank">东南</a> <a href="/tags/551/" title="贵州" class="c1" target="_blank">贵州</a> <a href="/tags/1022/" title="贵州省" class="c1" target="_blank">贵州省</a> 的坐标为 <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/109/" title="东南" class="c1" target="_blank">东南</a> <a href="/tags/551/" title="贵州" class="c1" target="_blank">贵州</a> <a href="/tags/1022/" title="贵州省" class="c1" target="_blank">贵州省</a>

1)求抛物线的解析式.

2)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/109/" title="东南" class="c1" target="_blank">东南</a> <a href="/tags/551/" title="贵州" class="c1" target="_blank">贵州</a> <a href="/tags/1022/" title="贵州省" class="c1" target="_blank">贵州省</a> 轴上找一点 <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/109/" title="东南" class="c1" target="_blank">东南</a> <a href="/tags/551/" title="贵州" class="c1" target="_blank">贵州</a> <a href="/tags/1022/" title="贵州省" class="c1" target="_blank">贵州省</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/109/" title="东南" class="c1" target="_blank">东南</a> <a href="/tags/551/" title="贵州" class="c1" target="_blank">贵州</a> <a href="/tags/1022/" title="贵州省" class="c1" target="_blank">贵州省</a> 为等腰三角形,请直接写出点 <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/109/" title="东南" class="c1" target="_blank">东南</a> <a href="/tags/551/" title="贵州" class="c1" target="_blank">贵州</a> <a href="/tags/1022/" title="贵州省" class="c1" target="_blank">贵州省</a> 的坐标.

3)点 <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/109/" title="东南" class="c1" target="_blank">东南</a> <a href="/tags/551/" title="贵州" class="c1" target="_blank">贵州</a> <a href="/tags/1022/" title="贵州省" class="c1" target="_blank">贵州省</a>  <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/109/" title="东南" class="c1" target="_blank">东南</a> <a href="/tags/551/" title="贵州" class="c1" target="_blank">贵州</a> <a href="/tags/1022/" title="贵州省" class="c1" target="_blank">贵州省</a> 轴上的动点,点 <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/109/" title="东南" class="c1" target="_blank">东南</a> <a href="/tags/551/" title="贵州" class="c1" target="_blank">贵州</a> <a href="/tags/1022/" title="贵州省" class="c1" target="_blank">贵州省</a> 是抛物线上的动点,是否存在点 <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/109/" title="东南" class="c1" target="_blank">东南</a> <a href="/tags/551/" title="贵州" class="c1" target="_blank">贵州</a> <a href="/tags/1022/" title="贵州省" class="c1" target="_blank">贵州省</a>  <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/109/" title="东南" class="c1" target="_blank">东南</a> <a href="/tags/551/" title="贵州" class="c1" target="_blank">贵州</a> <a href="/tags/1022/" title="贵州省" class="c1" target="_blank">贵州省</a> ,使得以点 <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/109/" title="东南" class="c1" target="_blank">东南</a> <a href="/tags/551/" title="贵州" class="c1" target="_blank">贵州</a> <a href="/tags/1022/" title="贵州省" class="c1" target="_blank">贵州省</a>  <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/109/" title="东南" class="c1" target="_blank">东南</a> <a href="/tags/551/" title="贵州" class="c1" target="_blank">贵州</a> <a href="/tags/1022/" title="贵州省" class="c1" target="_blank">贵州省</a>  <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/109/" title="东南" class="c1" target="_blank">东南</a> <a href="/tags/551/" title="贵州" class="c1" target="_blank">贵州</a> <a href="/tags/1022/" title="贵州省" class="c1" target="_blank">贵州省</a>  <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/109/" title="东南" class="c1" target="_blank">东南</a> <a href="/tags/551/" title="贵州" class="c1" target="_blank">贵州</a> <a href="/tags/1022/" title="贵州省" class="c1" target="_blank">贵州省</a> 为顶点, <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/109/" title="东南" class="c1" target="_blank">东南</a> <a href="/tags/551/" title="贵州" class="c1" target="_blank">贵州</a> <a href="/tags/1022/" title="贵州省" class="c1" target="_blank">贵州省</a> 为一边的四边形是平行四边形?若存在,请求出点 <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/109/" title="东南" class="c1" target="_blank">东南</a> <a href="/tags/551/" title="贵州" class="c1" target="_blank">贵州</a> <a href="/tags/1022/" title="贵州省" class="c1" target="_blank">贵州省</a>  <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/109/" title="东南" class="c1" target="_blank">东南</a> <a href="/tags/551/" title="贵州" class="c1" target="_blank">贵州</a> <a href="/tags/1022/" title="贵州省" class="c1" target="_blank">贵州省</a> 坐标;若不存在,请说明理由.

Shape34

【分析】1)根据抛物线的顶点坐标设出抛物线的解析式,再将点 <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/109/" title="东南" class="c1" target="_blank">东南</a> <a href="/tags/551/" title="贵州" class="c1" target="_blank">贵州</a> <a href="/tags/1022/" title="贵州省" class="c1" target="_blank">贵州省</a> 坐标代入求解,即可得出结论;

2)先求出点 <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/109/" title="东南" class="c1" target="_blank">东南</a> <a href="/tags/551/" title="贵州" class="c1" target="_blank">贵州</a> <a href="/tags/1022/" title="贵州省" class="c1" target="_blank">贵州省</a>  <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/109/" title="东南" class="c1" target="_blank">东南</a> <a href="/tags/551/" title="贵州" class="c1" target="_blank">贵州</a> <a href="/tags/1022/" title="贵州省" class="c1" target="_blank">贵州省</a> 坐标,设出点 <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/109/" title="东南" class="c1" target="_blank">东南</a> <a href="/tags/551/" title="贵州" class="c1" target="_blank">贵州</a> <a href="/tags/1022/" title="贵州省" class="c1" target="_blank">贵州省</a> 坐标,表示出 <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/109/" title="东南" class="c1" target="_blank">东南</a> <a href="/tags/551/" title="贵州" class="c1" target="_blank">贵州</a> <a href="/tags/1022/" title="贵州省" class="c1" target="_blank">贵州省</a>  <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/109/" title="东南" class="c1" target="_blank">东南</a> <a href="/tags/551/" title="贵州" class="c1" target="_blank">贵州</a> <a href="/tags/1022/" title="贵州省" class="c1" target="_blank">贵州省</a>  <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/109/" title="东南" class="c1" target="_blank">东南</a> <a href="/tags/551/" title="贵州" class="c1" target="_blank">贵州</a> <a href="/tags/1022/" title="贵州省" class="c1" target="_blank">贵州省</a> ,再分三种情况建立方程求解即可;

3)利用平移先确定出点 <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/109/" title="东南" class="c1" target="_blank">东南</a> <a href="/tags/551/" title="贵州" class="c1" target="_blank">贵州</a> <a href="/tags/1022/" title="贵州省" class="c1" target="_blank">贵州省</a> 的纵坐标,代入抛物线解析式求出点 <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/109/" title="东南" class="c1" target="_blank">东南</a> <a href="/tags/551/" title="贵州" class="c1" target="_blank">贵州</a> <a href="/tags/1022/" title="贵州省" class="c1" target="_blank">贵州省</a> 的横坐标,即可得出结论.

【解答】解:(1 <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/109/" title="东南" class="c1" target="_blank">东南</a> <a href="/tags/551/" title="贵州" class="c1" target="_blank">贵州</a> <a href="/tags/1022/" title="贵州省" class="c1" target="_blank">贵州省</a> 抛物线的顶点为 <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/109/" title="东南" class="c1" target="_blank">东南</a> <a href="/tags/551/" title="贵州" class="c1" target="_blank">贵州</a> <a href="/tags/1022/" title="贵州省" class="c1" target="_blank">贵州省</a>

 <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/109/" title="东南" class="c1" target="_blank">东南</a> <a href="/tags/551/" title="贵州" class="c1" target="_blank">贵州</a> <a href="/tags/1022/" title="贵州省" class="c1" target="_blank">贵州省</a> 设抛物线的解析式为 <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/109/" title="东南" class="c1" target="_blank">东南</a> <a href="/tags/551/" title="贵州" class="c1" target="_blank">贵州</a> <a href="/tags/1022/" title="贵州省" class="c1" target="_blank">贵州省</a>

将点 <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/109/" title="东南" class="c1" target="_blank">东南</a> <a href="/tags/551/" title="贵州" class="c1" target="_blank">贵州</a> <a href="/tags/1022/" title="贵州省" class="c1" target="_blank">贵州省</a> 代入抛物线 <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/109/" title="东南" class="c1" target="_blank">东南</a> <a href="/tags/551/" title="贵州" class="c1" target="_blank">贵州</a> <a href="/tags/1022/" title="贵州省" class="c1" target="_blank">贵州省</a> 中,得 <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/109/" title="东南" class="c1" target="_blank">东南</a> <a href="/tags/551/" title="贵州" class="c1" target="_blank">贵州</a> <a href="/tags/1022/" title="贵州省" class="c1" target="_blank">贵州省</a>

 <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/109/" title="东南" class="c1" target="_blank">东南</a> <a href="/tags/551/" title="贵州" class="c1" target="_blank">贵州</a> <a href="/tags/1022/" title="贵州省" class="c1" target="_blank">贵州省</a>

 <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/109/" title="东南" class="c1" target="_blank">东南</a> <a href="/tags/551/" title="贵州" class="c1" target="_blank">贵州</a> <a href="/tags/1022/" title="贵州省" class="c1" target="_blank">贵州省</a> 抛物线的解析式为 <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/109/" title="东南" class="c1" target="_blank">东南</a> <a href="/tags/551/" title="贵州" class="c1" target="_blank">贵州</a> <a href="/tags/1022/" title="贵州省" class="c1" target="_blank">贵州省</a>


2)由(1)知,抛物线的解析式为 <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/109/" title="东南" class="c1" target="_blank">东南</a> <a href="/tags/551/" title="贵州" class="c1" target="_blank">贵州</a> <a href="/tags/1022/" title="贵州省" class="c1" target="_blank">贵州省</a>

 <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/109/" title="东南" class="c1" target="_blank">东南</a> <a href="/tags/551/" title="贵州" class="c1" target="_blank">贵州</a> <a href="/tags/1022/" title="贵州省" class="c1" target="_blank">贵州省</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/109/" title="东南" class="c1" target="_blank">东南</a> <a href="/tags/551/" title="贵州" class="c1" target="_blank">贵州</a> <a href="/tags/1022/" title="贵州省" class="c1" target="_blank">贵州省</a>

 <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/109/" title="东南" class="c1" target="_blank">东南</a> <a href="/tags/551/" title="贵州" class="c1" target="_blank">贵州</a> <a href="/tags/1022/" title="贵州省" class="c1" target="_blank">贵州省</a>  <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/109/" title="东南" class="c1" target="_blank">东南</a> <a href="/tags/551/" title="贵州" class="c1" target="_blank">贵州</a> <a href="/tags/1022/" title="贵州省" class="c1" target="_blank">贵州省</a>

 <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/109/" title="东南" class="c1" target="_blank">东南</a> <a href="/tags/551/" title="贵州" class="c1" target="_blank">贵州</a> <a href="/tags/1022/" title="贵州省" class="c1" target="_blank">贵州省</a>  <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/109/" title="东南" class="c1" target="_blank">东南</a> <a href="/tags/551/" title="贵州" class="c1" target="_blank">贵州</a> <a href="/tags/1022/" title="贵州省" class="c1" target="_blank">贵州省</a>

 <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/109/" title="东南" class="c1" target="_blank">东南</a> <a href="/tags/551/" title="贵州" class="c1" target="_blank">贵州</a> <a href="/tags/1022/" title="贵州省" class="c1" target="_blank">贵州省</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/109/" title="东南" class="c1" target="_blank">东南</a> <a href="/tags/551/" title="贵州" class="c1" target="_blank">贵州</a> <a href="/tags/1022/" title="贵州省" class="c1" target="_blank">贵州省</a>

 <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/109/" title="东南" class="c1" target="_blank">东南</a> <a href="/tags/551/" title="贵州" class="c1" target="_blank">贵州</a> <a href="/tags/1022/" title="贵州省" class="c1" target="_blank">贵州省</a>

 <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/109/" title="东南" class="c1" target="_blank">东南</a> <a href="/tags/551/" title="贵州" class="c1" target="_blank">贵州</a> <a href="/tags/1022/" title="贵州省" class="c1" target="_blank">贵州省</a>

设点 <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/109/" title="东南" class="c1" target="_blank">东南</a> <a href="/tags/551/" title="贵州" class="c1" target="_blank">贵州</a> <a href="/tags/1022/" title="贵州省" class="c1" target="_blank">贵州省</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/109/" title="东南" class="c1" target="_blank">东南</a> <a href="/tags/551/" title="贵州" class="c1" target="_blank">贵州</a> <a href="/tags/1022/" title="贵州省" class="c1" target="_blank">贵州省</a>  <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/109/" title="东南" class="c1" target="_blank">东南</a> <a href="/tags/551/" title="贵州" class="c1" target="_blank">贵州</a> <a href="/tags/1022/" title="贵州省" class="c1" target="_blank">贵州省</a>

 <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/109/" title="东南" class="c1" target="_blank">东南</a> <a href="/tags/551/" title="贵州" class="c1" target="_blank">贵州</a> <a href="/tags/1022/" title="贵州省" class="c1" target="_blank">贵州省</a> 是等腰三角形,

 <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/109/" title="东南" class="c1" target="_blank">东南</a> <a href="/tags/551/" title="贵州" class="c1" target="_blank">贵州</a> <a href="/tags/1022/" title="贵州省" class="c1" target="_blank">贵州省</a> <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/109/" title="东南" class="c1" target="_blank">东南</a> <a href="/tags/551/" title="贵州" class="c1" target="_blank">贵州</a> <a href="/tags/1022/" title="贵州省" class="c1" target="_blank">贵州省</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/109/" title="东南" class="c1" target="_blank">东南</a> <a href="/tags/551/" title="贵州" class="c1" target="_blank">贵州</a> <a href="/tags/1022/" title="贵州省" class="c1" target="_blank">贵州省</a>

 <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/109/" title="东南" class="c1" target="_blank">东南</a> <a href="/tags/551/" title="贵州" class="c1" target="_blank">贵州</a> <a href="/tags/1022/" title="贵州省" class="c1" target="_blank">贵州省</a>  <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/109/" title="东南" class="c1" target="_blank">东南</a> <a href="/tags/551/" title="贵州" class="c1" target="_blank">贵州</a> <a href="/tags/1022/" title="贵州省" class="c1" target="_blank">贵州省</a> (点 <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/109/" title="东南" class="c1" target="_blank">东南</a> <a href="/tags/551/" title="贵州" class="c1" target="_blank">贵州</a> <a href="/tags/1022/" title="贵州省" class="c1" target="_blank">贵州省</a> 的纵坐标,舍去),

 <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/109/" title="东南" class="c1" target="_blank">东南</a> <a href="/tags/551/" title="贵州" class="c1" target="_blank">贵州</a> <a href="/tags/1022/" title="贵州省" class="c1" target="_blank">贵州省</a>

 <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/109/" title="东南" class="c1" target="_blank">东南</a> <a href="/tags/551/" title="贵州" class="c1" target="_blank">贵州</a> <a href="/tags/1022/" title="贵州省" class="c1" target="_blank">贵州省</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/109/" title="东南" class="c1" target="_blank">东南</a> <a href="/tags/551/" title="贵州" class="c1" target="_blank">贵州</a> <a href="/tags/1022/" title="贵州省" class="c1" target="_blank">贵州省</a>

 <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/109/" title="东南" class="c1" target="_blank">东南</a> <a href="/tags/551/" title="贵州" class="c1" target="_blank">贵州</a> <a href="/tags/1022/" title="贵州省" class="c1" target="_blank">贵州省</a>

 <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/109/" title="东南" class="c1" target="_blank">东南</a> <a href="/tags/551/" title="贵州" class="c1" target="_blank">贵州</a> <a href="/tags/1022/" title="贵州省" class="c1" target="_blank">贵州省</a>  <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/109/" title="东南" class="c1" target="_blank">东南</a> <a href="/tags/551/" title="贵州" class="c1" target="_blank">贵州</a> <a href="/tags/1022/" title="贵州省" class="c1" target="_blank">贵州省</a>

 <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/109/" title="东南" class="c1" target="_blank">东南</a> <a href="/tags/551/" title="贵州" class="c1" target="_blank">贵州</a> <a href="/tags/1022/" title="贵州省" class="c1" target="_blank">贵州省</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/109/" title="东南" class="c1" target="_blank">东南</a> <a href="/tags/551/" title="贵州" class="c1" target="_blank">贵州</a> <a href="/tags/1022/" title="贵州省" class="c1" target="_blank">贵州省</a>

 <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/109/" title="东南" class="c1" target="_blank">东南</a> <a href="/tags/551/" title="贵州" class="c1" target="_blank">贵州</a> <a href="/tags/1022/" title="贵州省" class="c1" target="_blank">贵州省</a>

 <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/109/" title="东南" class="c1" target="_blank">东南</a> <a href="/tags/551/" title="贵州" class="c1" target="_blank">贵州</a> <a href="/tags/1022/" title="贵州省" class="c1" target="_blank">贵州省</a>

即满足条件的点 <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/109/" title="东南" class="c1" target="_blank">东南</a> <a href="/tags/551/" title="贵州" class="c1" target="_blank">贵州</a> <a href="/tags/1022/" title="贵州省" class="c1" target="_blank">贵州省</a> 的坐标为 <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/109/" title="东南" class="c1" target="_blank">东南</a> <a href="/tags/551/" title="贵州" class="c1" target="_blank">贵州</a> <a href="/tags/1022/" title="贵州省" class="c1" target="_blank">贵州省</a>  <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/109/" title="东南" class="c1" target="_blank">东南</a> <a href="/tags/551/" title="贵州" class="c1" target="_blank">贵州</a> <a href="/tags/1022/" title="贵州省" class="c1" target="_blank">贵州省</a>  <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/109/" title="东南" class="c1" target="_blank">东南</a> <a href="/tags/551/" title="贵州" class="c1" target="_blank">贵州</a> <a href="/tags/1022/" title="贵州省" class="c1" target="_blank">贵州省</a>  <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/109/" title="东南" class="c1" target="_blank">东南</a> <a href="/tags/551/" title="贵州" class="c1" target="_blank">贵州</a> <a href="/tags/1022/" title="贵州省" class="c1" target="_blank">贵州省</a>


3)如图,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/109/" title="东南" class="c1" target="_blank">东南</a> <a href="/tags/551/" title="贵州" class="c1" target="_blank">贵州</a> <a href="/tags/1022/" title="贵州省" class="c1" target="_blank">贵州省</a>

 <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/109/" title="东南" class="c1" target="_blank">东南</a> <a href="/tags/551/" title="贵州" class="c1" target="_blank">贵州</a> <a href="/tags/1022/" title="贵州省" class="c1" target="_blank">贵州省</a> 将线段 <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/109/" title="东南" class="c1" target="_blank">东南</a> <a href="/tags/551/" title="贵州" class="c1" target="_blank">贵州</a> <a href="/tags/1022/" title="贵州省" class="c1" target="_blank">贵州省</a> 向上平移4个单位,再向右(或向左)平移适当的距离,使点 <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/109/" title="东南" class="c1" target="_blank">东南</a> <a href="/tags/551/" title="贵州" class="c1" target="_blank">贵州</a> <a href="/tags/1022/" title="贵州省" class="c1" target="_blank">贵州省</a> 的对应点落在抛物线上,这样便存在点 <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/109/" title="东南" class="c1" target="_blank">东南</a> <a href="/tags/551/" title="贵州" class="c1" target="_blank">贵州</a> <a href="/tags/1022/" title="贵州省" class="c1" target="_blank">贵州省</a> ,此时点 <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/109/" title="东南" class="c1" target="_blank">东南</a> <a href="/tags/551/" title="贵州" class="c1" target="_blank">贵州</a> <a href="/tags/1022/" title="贵州省" class="c1" target="_blank">贵州省</a> 的对应点就是点 <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/109/" title="东南" class="c1" target="_blank">东南</a> <a href="/tags/551/" title="贵州" class="c1" target="_blank">贵州</a> <a href="/tags/1022/" title="贵州省" class="c1" target="_blank">贵州省</a>

 <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/109/" title="东南" class="c1" target="_blank">东南</a> <a href="/tags/551/" title="贵州" class="c1" target="_blank">贵州</a> <a href="/tags/1022/" title="贵州省" class="c1" target="_blank">贵州省</a>  <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/109/" title="东南" class="c1" target="_blank">东南</a> <a href="/tags/551/" title="贵州" class="c1" target="_blank">贵州</a> <a href="/tags/1022/" title="贵州省" class="c1" target="_blank">贵州省</a> 的纵坐标为4

 <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/109/" title="东南" class="c1" target="_blank">东南</a> <a href="/tags/551/" title="贵州" class="c1" target="_blank">贵州</a> <a href="/tags/1022/" title="贵州省" class="c1" target="_blank">贵州省</a>

将点 <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/109/" title="东南" class="c1" target="_blank">东南</a> <a href="/tags/551/" title="贵州" class="c1" target="_blank">贵州</a> <a href="/tags/1022/" title="贵州省" class="c1" target="_blank">贵州省</a> 的坐标代入抛物线 <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/109/" title="东南" class="c1" target="_blank">东南</a> <a href="/tags/551/" title="贵州" class="c1" target="_blank">贵州</a> <a href="/tags/1022/" title="贵州省" class="c1" target="_blank">贵州省</a> 中得, <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/109/" title="东南" class="c1" target="_blank">东南</a> <a href="/tags/551/" title="贵州" class="c1" target="_blank">贵州</a> <a href="/tags/1022/" title="贵州省" class="c1" target="_blank">贵州省</a>

 <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/109/" title="东南" class="c1" target="_blank">东南</a> <a href="/tags/551/" title="贵州" class="c1" target="_blank">贵州</a> <a href="/tags/1022/" title="贵州省" class="c1" target="_blank">贵州省</a>  <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/109/" title="东南" class="c1" target="_blank">东南</a> <a href="/tags/551/" title="贵州" class="c1" target="_blank">贵州</a> <a href="/tags/1022/" title="贵州省" class="c1" target="_blank">贵州省</a>

 <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/109/" title="东南" class="c1" target="_blank">东南</a> <a href="/tags/551/" title="贵州" class="c1" target="_blank">贵州</a> <a href="/tags/1022/" title="贵州省" class="c1" target="_blank">贵州省</a>  <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/109/" title="东南" class="c1" target="_blank">东南</a> <a href="/tags/551/" title="贵州" class="c1" target="_blank">贵州</a> <a href="/tags/1022/" title="贵州省" class="c1" target="_blank">贵州省</a>  <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/109/" title="东南" class="c1" target="_blank">东南</a> <a href="/tags/551/" title="贵州" class="c1" target="_blank">贵州</a> <a href="/tags/1022/" title="贵州省" class="c1" target="_blank">贵州省</a>  <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/109/" title="东南" class="c1" target="_blank">东南</a> <a href="/tags/551/" title="贵州" class="c1" target="_blank">贵州</a> <a href="/tags/1022/" title="贵州省" class="c1" target="_blank">贵州省</a>

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/109/" title="东南" class="c1" target="_blank">东南</a> <a href="/tags/551/" title="贵州" class="c1" target="_blank">贵州</a> <a href="/tags/1022/" title="贵州省" class="c1" target="_blank">贵州省</a>  <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/109/" title="东南" class="c1" target="_blank">东南</a> <a href="/tags/551/" title="贵州" class="c1" target="_blank">贵州</a> <a href="/tags/1022/" title="贵州省" class="c1" target="_blank">贵州省</a>  <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/109/" title="东南" class="c1" target="_blank">东南</a> <a href="/tags/551/" title="贵州" class="c1" target="_blank">贵州</a> <a href="/tags/1022/" title="贵州省" class="c1" target="_blank">贵州省</a> 轴的垂线,垂足分别为 <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/109/" title="东南" class="c1" target="_blank">东南</a> <a href="/tags/551/" title="贵州" class="c1" target="_blank">贵州</a> <a href="/tags/1022/" title="贵州省" class="c1" target="_blank">贵州省</a>  <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/109/" title="东南" class="c1" target="_blank">东南</a> <a href="/tags/551/" title="贵州" class="c1" target="_blank">贵州</a> <a href="/tags/1022/" title="贵州省" class="c1" target="_blank">贵州省</a>

 <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/109/" title="东南" class="c1" target="_blank">东南</a> <a href="/tags/551/" title="贵州" class="c1" target="_blank">贵州</a> <a href="/tags/1022/" title="贵州省" class="c1" target="_blank">贵州省</a> 抛物线 <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/109/" title="东南" class="c1" target="_blank">东南</a> <a href="/tags/551/" title="贵州" class="c1" target="_blank">贵州</a> <a href="/tags/1022/" title="贵州省" class="c1" target="_blank">贵州省</a>  <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/109/" title="东南" class="c1" target="_blank">东南</a> <a href="/tags/551/" title="贵州" class="c1" target="_blank">贵州</a> <a href="/tags/1022/" title="贵州省" class="c1" target="_blank">贵州省</a> 轴的右边的交点 <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/109/" title="东南" class="c1" target="_blank">东南</a> <a href="/tags/551/" title="贵州" class="c1" target="_blank">贵州</a> <a href="/tags/1022/" title="贵州省" class="c1" target="_blank">贵州省</a> 的坐标为 <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/109/" title="东南" class="c1" target="_blank">东南</a> <a href="/tags/551/" title="贵州" class="c1" target="_blank">贵州</a> <a href="/tags/1022/" title="贵州省" class="c1" target="_blank">贵州省</a> ,且 <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/109/" title="东南" class="c1" target="_blank">东南</a> <a href="/tags/551/" title="贵州" class="c1" target="_blank">贵州</a> <a href="/tags/1022/" title="贵州省" class="c1" target="_blank">贵州省</a>

 <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/109/" title="东南" class="c1" target="_blank">东南</a> <a href="/tags/551/" title="贵州" class="c1" target="_blank">贵州</a> <a href="/tags/1022/" title="贵州省" class="c1" target="_blank">贵州省</a>

 <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/109/" title="东南" class="c1" target="_blank">东南</a> <a href="/tags/551/" title="贵州" class="c1" target="_blank">贵州</a> <a href="/tags/1022/" title="贵州省" class="c1" target="_blank">贵州省</a>  <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/109/" title="东南" class="c1" target="_blank">东南</a> <a href="/tags/551/" title="贵州" class="c1" target="_blank">贵州</a> <a href="/tags/1022/" title="贵州省" class="c1" target="_blank">贵州省</a> 的横坐标为 <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/109/" title="东南" class="c1" target="_blank">东南</a> <a href="/tags/551/" title="贵州" class="c1" target="_blank">贵州</a> <a href="/tags/1022/" title="贵州省" class="c1" target="_blank">贵州省</a>  <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/109/" title="东南" class="c1" target="_blank">东南</a> <a href="/tags/551/" title="贵州" class="c1" target="_blank">贵州</a> <a href="/tags/1022/" title="贵州省" class="c1" target="_blank">贵州省</a>

 <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/109/" title="东南" class="c1" target="_blank">东南</a> <a href="/tags/551/" title="贵州" class="c1" target="_blank">贵州</a> <a href="/tags/1022/" title="贵州省" class="c1" target="_blank">贵州省</a>  <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/109/" title="东南" class="c1" target="_blank">东南</a> <a href="/tags/551/" title="贵州" class="c1" target="_blank">贵州</a> <a href="/tags/1022/" title="贵州省" class="c1" target="_blank">贵州省</a>  <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/109/" title="东南" class="c1" target="_blank">东南</a> <a href="/tags/551/" title="贵州" class="c1" target="_blank">贵州</a> <a href="/tags/1022/" title="贵州省" class="c1" target="_blank">贵州省</a>  <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/109/" title="东南" class="c1" target="_blank">东南</a> <a href="/tags/551/" title="贵州" class="c1" target="_blank">贵州</a> <a href="/tags/1022/" title="贵州省" class="c1" target="_blank">贵州省</a>  <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/109/" title="东南" class="c1" target="_blank">东南</a> <a href="/tags/551/" title="贵州" class="c1" target="_blank">贵州</a> <a href="/tags/1022/" title="贵州省" class="c1" target="_blank">贵州省</a>  <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/109/" title="东南" class="c1" target="_blank">东南</a> <a href="/tags/551/" title="贵州" class="c1" target="_blank">贵州</a> <a href="/tags/1022/" title="贵州省" class="c1" target="_blank">贵州省</a>  <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/109/" title="东南" class="c1" target="_blank">东南</a> <a href="/tags/551/" title="贵州" class="c1" target="_blank">贵州</a> <a href="/tags/1022/" title="贵州省" class="c1" target="_blank">贵州省</a>  <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/109/" title="东南" class="c1" target="_blank">东南</a> <a href="/tags/551/" title="贵州" class="c1" target="_blank">贵州</a> <a href="/tags/1022/" title="贵州省" class="c1" target="_blank">贵州省</a>

Shape35

【点评】此题是二次函数综合题,主要考查了待定系数法,等腰三角形的性质,平移的性质,用方程的思想解决问题是解本题的关键.