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【334352】湖南省2021年普通高等学校对口招生考试数学试卷

时间:2025-01-21 18:06:13 作者: 字数:10570字
简介:

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学校:___________姓名:___________班级:___________考号:___________

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Shape2

绝密·启用前

湖南省2021年普通高等学校对口招生考试数学试卷

题号

总分

得分





注意事项:

1.答题前填写好自己的姓名、班级、考号等信息

2.请将答案正确填写在答题卡上



评卷人

得分




一、选择题

1.已知集合 <a href="/tags/37/" title="普通" class="c1" target="_blank">普通</a> <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/261/" title="考试" class="c1" target="_blank">考试</a> <a href="/tags/491/" title="学校" class="c1" target="_blank">学校</a> <a href="/tags/982/" title="湖南省" class="c1" target="_blank">湖南省</a>  <a href="/tags/37/" title="普通" class="c1" target="_blank">普通</a> <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/261/" title="考试" class="c1" target="_blank">考试</a> <a href="/tags/491/" title="学校" class="c1" target="_blank">学校</a> <a href="/tags/982/" title="湖南省" class="c1" target="_blank">湖南省</a> ,且 <a href="/tags/37/" title="普通" class="c1" target="_blank">普通</a> <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/261/" title="考试" class="c1" target="_blank">考试</a> <a href="/tags/491/" title="学校" class="c1" target="_blank">学校</a> <a href="/tags/982/" title="湖南省" class="c1" target="_blank">湖南省</a> ( )
A
 <a href="/tags/37/" title="普通" class="c1" target="_blank">普通</a> <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/261/" title="考试" class="c1" target="_blank">考试</a> <a href="/tags/491/" title="学校" class="c1" target="_blank">学校</a> <a href="/tags/982/" title="湖南省" class="c1" target="_blank">湖南省</a>
B
 <a href="/tags/37/" title="普通" class="c1" target="_blank">普通</a> <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/261/" title="考试" class="c1" target="_blank">考试</a> <a href="/tags/491/" title="学校" class="c1" target="_blank">学校</a> <a href="/tags/982/" title="湖南省" class="c1" target="_blank">湖南省</a>
C
 <a href="/tags/37/" title="普通" class="c1" target="_blank">普通</a> <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/261/" title="考试" class="c1" target="_blank">考试</a> <a href="/tags/491/" title="学校" class="c1" target="_blank">学校</a> <a href="/tags/982/" title="湖南省" class="c1" target="_blank">湖南省</a>
D
 <a href="/tags/37/" title="普通" class="c1" target="_blank">普通</a> <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/261/" title="考试" class="c1" target="_blank">考试</a> <a href="/tags/491/" title="学校" class="c1" target="_blank">学校</a> <a href="/tags/982/" title="湖南省" class="c1" target="_blank">湖南省</a>

2.函数 <a href="/tags/37/" title="普通" class="c1" target="_blank">普通</a> <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/261/" title="考试" class="c1" target="_blank">考试</a> <a href="/tags/491/" title="学校" class="c1" target="_blank">学校</a> <a href="/tags/982/" title="湖南省" class="c1" target="_blank">湖南省</a> 的定义域为( )
A
 <a href="/tags/37/" title="普通" class="c1" target="_blank">普通</a> <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/261/" title="考试" class="c1" target="_blank">考试</a> <a href="/tags/491/" title="学校" class="c1" target="_blank">学校</a> <a href="/tags/982/" title="湖南省" class="c1" target="_blank">湖南省</a>
B
 <a href="/tags/37/" title="普通" class="c1" target="_blank">普通</a> <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/261/" title="考试" class="c1" target="_blank">考试</a> <a href="/tags/491/" title="学校" class="c1" target="_blank">学校</a> <a href="/tags/982/" title="湖南省" class="c1" target="_blank">湖南省</a>
C
 <a href="/tags/37/" title="普通" class="c1" target="_blank">普通</a> <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/261/" title="考试" class="c1" target="_blank">考试</a> <a href="/tags/491/" title="学校" class="c1" target="_blank">学校</a> <a href="/tags/982/" title="湖南省" class="c1" target="_blank">湖南省</a>
D
 <a href="/tags/37/" title="普通" class="c1" target="_blank">普通</a> <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/261/" title="考试" class="c1" target="_blank">考试</a> <a href="/tags/491/" title="学校" class="c1" target="_blank">学校</a> <a href="/tags/982/" title="湖南省" class="c1" target="_blank">湖南省</a>

3.函数 <a href="/tags/37/" title="普通" class="c1" target="_blank">普通</a> <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/261/" title="考试" class="c1" target="_blank">考试</a> <a href="/tags/491/" title="学校" class="c1" target="_blank">学校</a> <a href="/tags/982/" title="湖南省" class="c1" target="_blank">湖南省</a> 的单调递减区间是( )
A
 <a href="/tags/37/" title="普通" class="c1" target="_blank">普通</a> <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/261/" title="考试" class="c1" target="_blank">考试</a> <a href="/tags/491/" title="学校" class="c1" target="_blank">学校</a> <a href="/tags/982/" title="湖南省" class="c1" target="_blank">湖南省</a>
B
 <a href="/tags/37/" title="普通" class="c1" target="_blank">普通</a> <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/261/" title="考试" class="c1" target="_blank">考试</a> <a href="/tags/491/" title="学校" class="c1" target="_blank">学校</a> <a href="/tags/982/" title="湖南省" class="c1" target="_blank">湖南省</a>
C
 <a href="/tags/37/" title="普通" class="c1" target="_blank">普通</a> <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/261/" title="考试" class="c1" target="_blank">考试</a> <a href="/tags/491/" title="学校" class="c1" target="_blank">学校</a> <a href="/tags/982/" title="湖南省" class="c1" target="_blank">湖南省</a>
D
 <a href="/tags/37/" title="普通" class="c1" target="_blank">普通</a> <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/261/" title="考试" class="c1" target="_blank">考试</a> <a href="/tags/491/" title="学校" class="c1" target="_blank">学校</a> <a href="/tags/982/" title="湖南省" class="c1" target="_blank">湖南省</a>

4.为了得到函数 <a href="/tags/37/" title="普通" class="c1" target="_blank">普通</a> <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/261/" title="考试" class="c1" target="_blank">考试</a> <a href="/tags/491/" title="学校" class="c1" target="_blank">学校</a> <a href="/tags/982/" title="湖南省" class="c1" target="_blank">湖南省</a> 的图象,只需要 <a href="/tags/37/" title="普通" class="c1" target="_blank">普通</a> <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/261/" title="考试" class="c1" target="_blank">考试</a> <a href="/tags/491/" title="学校" class="c1" target="_blank">学校</a> <a href="/tags/982/" title="湖南省" class="c1" target="_blank">湖南省</a> 将的图象( )
A
.向上平移 <a href="/tags/37/" title="普通" class="c1" target="_blank">普通</a> <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/261/" title="考试" class="c1" target="_blank">考试</a> <a href="/tags/491/" title="学校" class="c1" target="_blank">学校</a> <a href="/tags/982/" title="湖南省" class="c1" target="_blank">湖南省</a> 个单位
B
.向左平移 <a href="/tags/37/" title="普通" class="c1" target="_blank">普通</a> <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/261/" title="考试" class="c1" target="_blank">考试</a> <a href="/tags/491/" title="学校" class="c1" target="_blank">学校</a> <a href="/tags/982/" title="湖南省" class="c1" target="_blank">湖南省</a> 个单位
C
.向下平移 <a href="/tags/37/" title="普通" class="c1" target="_blank">普通</a> <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/261/" title="考试" class="c1" target="_blank">考试</a> <a href="/tags/491/" title="学校" class="c1" target="_blank">学校</a> <a href="/tags/982/" title="湖南省" class="c1" target="_blank">湖南省</a> 个单位
D
.向右平移 <a href="/tags/37/" title="普通" class="c1" target="_blank">普通</a> <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/261/" title="考试" class="c1" target="_blank">考试</a> <a href="/tags/491/" title="学校" class="c1" target="_blank">学校</a> <a href="/tags/982/" title="湖南省" class="c1" target="_blank">湖南省</a> 个单位

5. <a href="/tags/37/" title="普通" class="c1" target="_blank">普通</a> <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/261/" title="考试" class="c1" target="_blank">考试</a> <a href="/tags/491/" title="学校" class="c1" target="_blank">学校</a> <a href="/tags/982/" title="湖南省" class="c1" target="_blank">湖南省</a> 到直线 <a href="/tags/37/" title="普通" class="c1" target="_blank">普通</a> <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/261/" title="考试" class="c1" target="_blank">考试</a> <a href="/tags/491/" title="学校" class="c1" target="_blank">学校</a> <a href="/tags/982/" title="湖南省" class="c1" target="_blank">湖南省</a> 的距离为( )
A
 <a href="/tags/37/" title="普通" class="c1" target="_blank">普通</a> <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/261/" title="考试" class="c1" target="_blank">考试</a> <a href="/tags/491/" title="学校" class="c1" target="_blank">学校</a> <a href="/tags/982/" title="湖南省" class="c1" target="_blank">湖南省</a>
B
 <a href="/tags/37/" title="普通" class="c1" target="_blank">普通</a> <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/261/" title="考试" class="c1" target="_blank">考试</a> <a href="/tags/491/" title="学校" class="c1" target="_blank">学校</a> <a href="/tags/982/" title="湖南省" class="c1" target="_blank">湖南省</a>
C
 <a href="/tags/37/" title="普通" class="c1" target="_blank">普通</a> <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/261/" title="考试" class="c1" target="_blank">考试</a> <a href="/tags/491/" title="学校" class="c1" target="_blank">学校</a> <a href="/tags/982/" title="湖南省" class="c1" target="_blank">湖南省</a>
D
 <a href="/tags/37/" title="普通" class="c1" target="_blank">普通</a> <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/261/" title="考试" class="c1" target="_blank">考试</a> <a href="/tags/491/" title="学校" class="c1" target="_blank">学校</a> <a href="/tags/982/" title="湖南省" class="c1" target="_blank">湖南省</a>

6.不等式 <a href="/tags/37/" title="普通" class="c1" target="_blank">普通</a> <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/261/" title="考试" class="c1" target="_blank">考试</a> <a href="/tags/491/" title="学校" class="c1" target="_blank">学校</a> <a href="/tags/982/" title="湖南省" class="c1" target="_blank">湖南省</a> 的解集是( )
A
 <a href="/tags/37/" title="普通" class="c1" target="_blank">普通</a> <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/261/" title="考试" class="c1" target="_blank">考试</a> <a href="/tags/491/" title="学校" class="c1" target="_blank">学校</a> <a href="/tags/982/" title="湖南省" class="c1" target="_blank">湖南省</a>
B
 <a href="/tags/37/" title="普通" class="c1" target="_blank">普通</a> <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/261/" title="考试" class="c1" target="_blank">考试</a> <a href="/tags/491/" title="学校" class="c1" target="_blank">学校</a> <a href="/tags/982/" title="湖南省" class="c1" target="_blank">湖南省</a>
C
 <a href="/tags/37/" title="普通" class="c1" target="_blank">普通</a> <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/261/" title="考试" class="c1" target="_blank">考试</a> <a href="/tags/491/" title="学校" class="c1" target="_blank">学校</a> <a href="/tags/982/" title="湖南省" class="c1" target="_blank">湖南省</a>
D
 <a href="/tags/37/" title="普通" class="c1" target="_blank">普通</a> <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/261/" title="考试" class="c1" target="_blank">考试</a> <a href="/tags/491/" title="学校" class="c1" target="_blank">学校</a> <a href="/tags/982/" title="湖南省" class="c1" target="_blank">湖南省</a>  <a href="/tags/37/" title="普通" class="c1" target="_blank">普通</a> <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/261/" title="考试" class="c1" target="_blank">考试</a> <a href="/tags/491/" title="学校" class="c1" target="_blank">学校</a> <a href="/tags/982/" title="湖南省" class="c1" target="_blank">湖南省</a>

7.x=1” <a href="/tags/37/" title="普通" class="c1" target="_blank">普通</a> <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/261/" title="考试" class="c1" target="_blank">考试</a> <a href="/tags/491/" title="学校" class="c1" target="_blank">学校</a> <a href="/tags/982/" title="湖南省" class="c1" target="_blank">湖南省</a> 的(
A
.充分不必要条件
B
.必要不充分条件
C
.充要条件
D
.既不充分也不必要条件

8. <a href="/tags/37/" title="普通" class="c1" target="_blank">普通</a> <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/261/" title="考试" class="c1" target="_blank">考试</a> <a href="/tags/491/" title="学校" class="c1" target="_blank">学校</a> <a href="/tags/982/" title="湖南省" class="c1" target="_blank">湖南省</a>  <a href="/tags/37/" title="普通" class="c1" target="_blank">普通</a> <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/261/" title="考试" class="c1" target="_blank">考试</a> <a href="/tags/491/" title="学校" class="c1" target="_blank">学校</a> <a href="/tags/982/" title="湖南省" class="c1" target="_blank">湖南省</a> 则( )
A
 <a href="/tags/37/" title="普通" class="c1" target="_blank">普通</a> <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/261/" title="考试" class="c1" target="_blank">考试</a> <a href="/tags/491/" title="学校" class="c1" target="_blank">学校</a> <a href="/tags/982/" title="湖南省" class="c1" target="_blank">湖南省</a>
B
 <a href="/tags/37/" title="普通" class="c1" target="_blank">普通</a> <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/261/" title="考试" class="c1" target="_blank">考试</a> <a href="/tags/491/" title="学校" class="c1" target="_blank">学校</a> <a href="/tags/982/" title="湖南省" class="c1" target="_blank">湖南省</a>
C
 <a href="/tags/37/" title="普通" class="c1" target="_blank">普通</a> <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/261/" title="考试" class="c1" target="_blank">考试</a> <a href="/tags/491/" title="学校" class="c1" target="_blank">学校</a> <a href="/tags/982/" title="湖南省" class="c1" target="_blank">湖南省</a>
D
 <a href="/tags/37/" title="普通" class="c1" target="_blank">普通</a> <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/261/" title="考试" class="c1" target="_blank">考试</a> <a href="/tags/491/" title="学校" class="c1" target="_blank">学校</a> <a href="/tags/982/" title="湖南省" class="c1" target="_blank">湖南省</a>

9.mn两条不同的直线为两个不同的平面,则下列结论正确的是(
A
.若 <a href="/tags/37/" title="普通" class="c1" target="_blank">普通</a> <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/261/" title="考试" class="c1" target="_blank">考试</a> <a href="/tags/491/" title="学校" class="c1" target="_blank">学校</a> <a href="/tags/982/" title="湖南省" class="c1" target="_blank">湖南省</a>  <a href="/tags/37/" title="普通" class="c1" target="_blank">普通</a> <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/261/" title="考试" class="c1" target="_blank">考试</a> <a href="/tags/491/" title="学校" class="c1" target="_blank">学校</a> <a href="/tags/982/" title="湖南省" class="c1" target="_blank">湖南省</a> ,则 <a href="/tags/37/" title="普通" class="c1" target="_blank">普通</a> <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/261/" title="考试" class="c1" target="_blank">考试</a> <a href="/tags/491/" title="学校" class="c1" target="_blank">学校</a> <a href="/tags/982/" title="湖南省" class="c1" target="_blank">湖南省</a>
B
.若 <a href="/tags/37/" title="普通" class="c1" target="_blank">普通</a> <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/261/" title="考试" class="c1" target="_blank">考试</a> <a href="/tags/491/" title="学校" class="c1" target="_blank">学校</a> <a href="/tags/982/" title="湖南省" class="c1" target="_blank">湖南省</a>  <a href="/tags/37/" title="普通" class="c1" target="_blank">普通</a> <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/261/" title="考试" class="c1" target="_blank">考试</a> <a href="/tags/491/" title="学校" class="c1" target="_blank">学校</a> <a href="/tags/982/" title="湖南省" class="c1" target="_blank">湖南省</a>  <a href="/tags/37/" title="普通" class="c1" target="_blank">普通</a> <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/261/" title="考试" class="c1" target="_blank">考试</a> <a href="/tags/491/" title="学校" class="c1" target="_blank">学校</a> <a href="/tags/982/" title="湖南省" class="c1" target="_blank">湖南省</a> ,则 <a href="/tags/37/" title="普通" class="c1" target="_blank">普通</a> <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/261/" title="考试" class="c1" target="_blank">考试</a> <a href="/tags/491/" title="学校" class="c1" target="_blank">学校</a> <a href="/tags/982/" title="湖南省" class="c1" target="_blank">湖南省</a>
C
.若 <a href="/tags/37/" title="普通" class="c1" target="_blank">普通</a> <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/261/" title="考试" class="c1" target="_blank">考试</a> <a href="/tags/491/" title="学校" class="c1" target="_blank">学校</a> <a href="/tags/982/" title="湖南省" class="c1" target="_blank">湖南省</a>  <a href="/tags/37/" title="普通" class="c1" target="_blank">普通</a> <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/261/" title="考试" class="c1" target="_blank">考试</a> <a href="/tags/491/" title="学校" class="c1" target="_blank">学校</a> <a href="/tags/982/" title="湖南省" class="c1" target="_blank">湖南省</a>  <a href="/tags/37/" title="普通" class="c1" target="_blank">普通</a> <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/261/" title="考试" class="c1" target="_blank">考试</a> <a href="/tags/491/" title="学校" class="c1" target="_blank">学校</a> <a href="/tags/982/" title="湖南省" class="c1" target="_blank">湖南省</a> ,则 <a href="/tags/37/" title="普通" class="c1" target="_blank">普通</a> <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/261/" title="考试" class="c1" target="_blank">考试</a> <a href="/tags/491/" title="学校" class="c1" target="_blank">学校</a> <a href="/tags/982/" title="湖南省" class="c1" target="_blank">湖南省</a>
D
.若 <a href="/tags/37/" title="普通" class="c1" target="_blank">普通</a> <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/261/" title="考试" class="c1" target="_blank">考试</a> <a href="/tags/491/" title="学校" class="c1" target="_blank">学校</a> <a href="/tags/982/" title="湖南省" class="c1" target="_blank">湖南省</a>  <a href="/tags/37/" title="普通" class="c1" target="_blank">普通</a> <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/261/" title="考试" class="c1" target="_blank">考试</a> <a href="/tags/491/" title="学校" class="c1" target="_blank">学校</a> <a href="/tags/982/" title="湖南省" class="c1" target="_blank">湖南省</a>  <a href="/tags/37/" title="普通" class="c1" target="_blank">普通</a> <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/261/" title="考试" class="c1" target="_blank">考试</a> <a href="/tags/491/" title="学校" class="c1" target="_blank">学校</a> <a href="/tags/982/" title="湖南省" class="c1" target="_blank">湖南省</a> ,则 <a href="/tags/37/" title="普通" class="c1" target="_blank">普通</a> <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/261/" title="考试" class="c1" target="_blank">考试</a> <a href="/tags/491/" title="学校" class="c1" target="_blank">学校</a> <a href="/tags/982/" title="湖南省" class="c1" target="_blank">湖南省</a>

10.已知某地区中小学生人数和近视情况分别如图(1)和图(2)所示,为了解该地区中小学生的近视形成原因,用分层抽样的方法抽取 <a href="/tags/37/" title="普通" class="c1" target="_blank">普通</a> <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/261/" title="考试" class="c1" target="_blank">考试</a> <a href="/tags/491/" title="学校" class="c1" target="_blank">学校</a> <a href="/tags/982/" title="湖南省" class="c1" target="_blank">湖南省</a> 的学生进行调查,则在抽取的高中生中,近视人数约为( )
 <a href="/tags/37/" title="普通" class="c1" target="_blank">普通</a> <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/261/" title="考试" class="c1" target="_blank">考试</a> <a href="/tags/491/" title="学校" class="c1" target="_blank">学校</a> <a href="/tags/982/" title="湖南省" class="c1" target="_blank">湖南省</a>
A
1000
B
40
C
27
D
20

评卷人

得分




二、填空题

11.已知 <a href="/tags/37/" title="普通" class="c1" target="_blank">普通</a> <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/261/" title="考试" class="c1" target="_blank">考试</a> <a href="/tags/491/" title="学校" class="c1" target="_blank">学校</a> <a href="/tags/982/" title="湖南省" class="c1" target="_blank">湖南省</a> ,且 <a href="/tags/37/" title="普通" class="c1" target="_blank">普通</a> <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/261/" title="考试" class="c1" target="_blank">考试</a> <a href="/tags/491/" title="学校" class="c1" target="_blank">学校</a> <a href="/tags/982/" title="湖南省" class="c1" target="_blank">湖南省</a> 为第四象限角,则 <a href="/tags/37/" title="普通" class="c1" target="_blank">普通</a> <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/261/" title="考试" class="c1" target="_blank">考试</a> <a href="/tags/491/" title="学校" class="c1" target="_blank">学校</a> <a href="/tags/982/" title="湖南省" class="c1" target="_blank">湖南省</a> ____________

12.已知向量 <a href="/tags/37/" title="普通" class="c1" target="_blank">普通</a> <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/261/" title="考试" class="c1" target="_blank">考试</a> <a href="/tags/491/" title="学校" class="c1" target="_blank">学校</a> <a href="/tags/982/" title="湖南省" class="c1" target="_blank">湖南省</a>  <a href="/tags/37/" title="普通" class="c1" target="_blank">普通</a> <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/261/" title="考试" class="c1" target="_blank">考试</a> <a href="/tags/491/" title="学校" class="c1" target="_blank">学校</a> <a href="/tags/982/" title="湖南省" class="c1" target="_blank">湖南省</a> ,则 <a href="/tags/37/" title="普通" class="c1" target="_blank">普通</a> <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/261/" title="考试" class="c1" target="_blank">考试</a> <a href="/tags/491/" title="学校" class="c1" target="_blank">学校</a> <a href="/tags/982/" title="湖南省" class="c1" target="_blank">湖南省</a> ___________

13. <a href="/tags/37/" title="普通" class="c1" target="_blank">普通</a> <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/261/" title="考试" class="c1" target="_blank">考试</a> <a href="/tags/491/" title="学校" class="c1" target="_blank">学校</a> <a href="/tags/982/" title="湖南省" class="c1" target="_blank">湖南省</a> 的展开式中常数项是______.(用数字作答)

14.过圆 <a href="/tags/37/" title="普通" class="c1" target="_blank">普通</a> <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/261/" title="考试" class="c1" target="_blank">考试</a> <a href="/tags/491/" title="学校" class="c1" target="_blank">学校</a> <a href="/tags/982/" title="湖南省" class="c1" target="_blank">湖南省</a> 的圆心且与直线 <a href="/tags/37/" title="普通" class="c1" target="_blank">普通</a> <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/261/" title="考试" class="c1" target="_blank">考试</a> <a href="/tags/491/" title="学校" class="c1" target="_blank">学校</a> <a href="/tags/982/" title="湖南省" class="c1" target="_blank">湖南省</a> 垂直的直线方程为___________

15.已知函数 <a href="/tags/37/" title="普通" class="c1" target="_blank">普通</a> <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/261/" title="考试" class="c1" target="_blank">考试</a> <a href="/tags/491/" title="学校" class="c1" target="_blank">学校</a> <a href="/tags/982/" title="湖南省" class="c1" target="_blank">湖南省</a> 为奇函数, <a href="/tags/37/" title="普通" class="c1" target="_blank">普通</a> <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/261/" title="考试" class="c1" target="_blank">考试</a> <a href="/tags/491/" title="学校" class="c1" target="_blank">学校</a> <a href="/tags/982/" title="湖南省" class="c1" target="_blank">湖南省</a> . <a href="/tags/37/" title="普通" class="c1" target="_blank">普通</a> <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/261/" title="考试" class="c1" target="_blank">考试</a> <a href="/tags/491/" title="学校" class="c1" target="_blank">学校</a> <a href="/tags/982/" title="湖南省" class="c1" target="_blank">湖南省</a> ,则 <a href="/tags/37/" title="普通" class="c1" target="_blank">普通</a> <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/261/" title="考试" class="c1" target="_blank">考试</a> <a href="/tags/491/" title="学校" class="c1" target="_blank">学校</a> <a href="/tags/982/" title="湖南省" class="c1" target="_blank">湖南省</a> ____________

评卷人

得分




三、解答题

16.已知各项为正数的等比数列 <a href="/tags/37/" title="普通" class="c1" target="_blank">普通</a> <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/261/" title="考试" class="c1" target="_blank">考试</a> <a href="/tags/491/" title="学校" class="c1" target="_blank">学校</a> <a href="/tags/982/" title="湖南省" class="c1" target="_blank">湖南省</a> 中, <a href="/tags/37/" title="普通" class="c1" target="_blank">普通</a> <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/261/" title="考试" class="c1" target="_blank">考试</a> <a href="/tags/491/" title="学校" class="c1" target="_blank">学校</a> <a href="/tags/982/" title="湖南省" class="c1" target="_blank">湖南省</a>  <a href="/tags/37/" title="普通" class="c1" target="_blank">普通</a> <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/261/" title="考试" class="c1" target="_blank">考试</a> <a href="/tags/491/" title="学校" class="c1" target="_blank">学校</a> <a href="/tags/982/" title="湖南省" class="c1" target="_blank">湖南省</a> .
1)求数列 <a href="/tags/37/" title="普通" class="c1" target="_blank">普通</a> <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/261/" title="考试" class="c1" target="_blank">考试</a> <a href="/tags/491/" title="学校" class="c1" target="_blank">学校</a> <a href="/tags/982/" title="湖南省" class="c1" target="_blank">湖南省</a> 的通项公式;
2)设 <a href="/tags/37/" title="普通" class="c1" target="_blank">普通</a> <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/261/" title="考试" class="c1" target="_blank">考试</a> <a href="/tags/491/" title="学校" class="c1" target="_blank">学校</a> <a href="/tags/982/" title="湖南省" class="c1" target="_blank">湖南省</a> ,求数列 <a href="/tags/37/" title="普通" class="c1" target="_blank">普通</a> <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/261/" title="考试" class="c1" target="_blank">考试</a> <a href="/tags/491/" title="学校" class="c1" target="_blank">学校</a> <a href="/tags/982/" title="湖南省" class="c1" target="_blank">湖南省</a> 的前n <a href="/tags/37/" title="普通" class="c1" target="_blank">普通</a> <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/261/" title="考试" class="c1" target="_blank">考试</a> <a href="/tags/491/" title="学校" class="c1" target="_blank">学校</a> <a href="/tags/982/" title="湖南省" class="c1" target="_blank">湖南省</a> .

17.端午节吃粽子是我国的传统习俗.设一盘中装有6个粽子,其中肉粽1个,蛋黄粽2个,豆沙粽3个,这三种粽子的外观完全相同,从中任意选取2.
1)用 <a href="/tags/37/" title="普通" class="c1" target="_blank">普通</a> <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/261/" title="考试" class="c1" target="_blank">考试</a> <a href="/tags/491/" title="学校" class="c1" target="_blank">学校</a> <a href="/tags/982/" title="湖南省" class="c1" target="_blank">湖南省</a> 表示取到的豆沙粽的个数,求 <a href="/tags/37/" title="普通" class="c1" target="_blank">普通</a> <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/261/" title="考试" class="c1" target="_blank">考试</a> <a href="/tags/491/" title="学校" class="c1" target="_blank">学校</a> <a href="/tags/982/" title="湖南省" class="c1" target="_blank">湖南省</a> 的分布列;
2)求选取的2个中至少有1个豆沙粽的概率.

18.已知函数 <a href="/tags/37/" title="普通" class="c1" target="_blank">普通</a> <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/261/" title="考试" class="c1" target="_blank">考试</a> <a href="/tags/491/" title="学校" class="c1" target="_blank">学校</a> <a href="/tags/982/" title="湖南省" class="c1" target="_blank">湖南省</a>
1)画出函数 <a href="/tags/37/" title="普通" class="c1" target="_blank">普通</a> <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/261/" title="考试" class="c1" target="_blank">考试</a> <a href="/tags/491/" title="学校" class="c1" target="_blank">学校</a> <a href="/tags/982/" title="湖南省" class="c1" target="_blank">湖南省</a> 的图象;
2)若 <a href="/tags/37/" title="普通" class="c1" target="_blank">普通</a> <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/261/" title="考试" class="c1" target="_blank">考试</a> <a href="/tags/491/" title="学校" class="c1" target="_blank">学校</a> <a href="/tags/982/" title="湖南省" class="c1" target="_blank">湖南省</a> ,求 <a href="/tags/37/" title="普通" class="c1" target="_blank">普通</a> <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/261/" title="考试" class="c1" target="_blank">考试</a> <a href="/tags/491/" title="学校" class="c1" target="_blank">学校</a> <a href="/tags/982/" title="湖南省" class="c1" target="_blank">湖南省</a> 的取值范围.

19.如图,四棱锥 <a href="/tags/37/" title="普通" class="c1" target="_blank">普通</a> <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/261/" title="考试" class="c1" target="_blank">考试</a> <a href="/tags/491/" title="学校" class="c1" target="_blank">学校</a> <a href="/tags/982/" title="湖南省" class="c1" target="_blank">湖南省</a> 中,底面ABCD是矩形, <a href="/tags/37/" title="普通" class="c1" target="_blank">普通</a> <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/261/" title="考试" class="c1" target="_blank">考试</a> <a href="/tags/491/" title="学校" class="c1" target="_blank">学校</a> <a href="/tags/982/" title="湖南省" class="c1" target="_blank">湖南省</a> 平面ABCDEPD的中点.
 <a href="/tags/37/" title="普通" class="c1" target="_blank">普通</a> <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/261/" title="考试" class="c1" target="_blank">考试</a> <a href="/tags/491/" title="学校" class="c1" target="_blank">学校</a> <a href="/tags/982/" title="湖南省" class="c1" target="_blank">湖南省</a>
1明: <a href="/tags/37/" title="普通" class="c1" target="_blank">普通</a> <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/261/" title="考试" class="c1" target="_blank">考试</a> <a href="/tags/491/" title="学校" class="c1" target="_blank">学校</a> <a href="/tags/982/" title="湖南省" class="c1" target="_blank">湖南省</a> 平面ACE
2 <a href="/tags/37/" title="普通" class="c1" target="_blank">普通</a> <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/261/" title="考试" class="c1" target="_blank">考试</a> <a href="/tags/491/" title="学校" class="c1" target="_blank">学校</a> <a href="/tags/982/" title="湖南省" class="c1" target="_blank">湖南省</a>  <a href="/tags/37/" title="普通" class="c1" target="_blank">普通</a> <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/261/" title="考试" class="c1" target="_blank">考试</a> <a href="/tags/491/" title="学校" class="c1" target="_blank">学校</a> <a href="/tags/982/" title="湖南省" class="c1" target="_blank">湖南省</a> ,直线PB与平面ABCD所成的角 <a href="/tags/37/" title="普通" class="c1" target="_blank">普通</a> <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/261/" title="考试" class="c1" target="_blank">考试</a> <a href="/tags/491/" title="学校" class="c1" target="_blank">学校</a> <a href="/tags/982/" title="湖南省" class="c1" target="_blank">湖南省</a> ,求四棱 <a href="/tags/37/" title="普通" class="c1" target="_blank">普通</a> <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/261/" title="考试" class="c1" target="_blank">考试</a> <a href="/tags/491/" title="学校" class="c1" target="_blank">学校</a> <a href="/tags/982/" title="湖南省" class="c1" target="_blank">湖南省</a> 的体.

20.已知椭圆 <a href="/tags/37/" title="普通" class="c1" target="_blank">普通</a> <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/261/" title="考试" class="c1" target="_blank">考试</a> <a href="/tags/491/" title="学校" class="c1" target="_blank">学校</a> <a href="/tags/982/" title="湖南省" class="c1" target="_blank">湖南省</a> 经过点 <a href="/tags/37/" title="普通" class="c1" target="_blank">普通</a> <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/261/" title="考试" class="c1" target="_blank">考试</a> <a href="/tags/491/" title="学校" class="c1" target="_blank">学校</a> <a href="/tags/982/" title="湖南省" class="c1" target="_blank">湖南省</a> ,且离心率为 <a href="/tags/37/" title="普通" class="c1" target="_blank">普通</a> <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/261/" title="考试" class="c1" target="_blank">考试</a> <a href="/tags/491/" title="学校" class="c1" target="_blank">学校</a> <a href="/tags/982/" title="湖南省" class="c1" target="_blank">湖南省</a> .
1)求椭圆 <a href="/tags/37/" title="普通" class="c1" target="_blank">普通</a> <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/261/" title="考试" class="c1" target="_blank">考试</a> <a href="/tags/491/" title="学校" class="c1" target="_blank">学校</a> <a href="/tags/982/" title="湖南省" class="c1" target="_blank">湖南省</a> 的方程;
2)设直线 <a href="/tags/37/" title="普通" class="c1" target="_blank">普通</a> <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/261/" title="考试" class="c1" target="_blank">考试</a> <a href="/tags/491/" title="学校" class="c1" target="_blank">学校</a> <a href="/tags/982/" title="湖南省" class="c1" target="_blank">湖南省</a> 与椭圆 <a href="/tags/37/" title="普通" class="c1" target="_blank">普通</a> <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/261/" title="考试" class="c1" target="_blank">考试</a> <a href="/tags/491/" title="学校" class="c1" target="_blank">学校</a> <a href="/tags/982/" title="湖南省" class="c1" target="_blank">湖南省</a> 相交于 <a href="/tags/37/" title="普通" class="c1" target="_blank">普通</a> <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/261/" title="考试" class="c1" target="_blank">考试</a> <a href="/tags/491/" title="学校" class="c1" target="_blank">学校</a> <a href="/tags/982/" title="湖南省" class="c1" target="_blank">湖南省</a> 两点,求 <a href="/tags/37/" title="普通" class="c1" target="_blank">普通</a> <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/261/" title="考试" class="c1" target="_blank">考试</a> <a href="/tags/491/" title="学校" class="c1" target="_blank">学校</a> <a href="/tags/982/" title="湖南省" class="c1" target="_blank">湖南省</a> 的值.

21.如图,在 <a href="/tags/37/" title="普通" class="c1" target="_blank">普通</a> <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/261/" title="考试" class="c1" target="_blank">考试</a> <a href="/tags/491/" title="学校" class="c1" target="_blank">学校</a> <a href="/tags/982/" title="湖南省" class="c1" target="_blank">湖南省</a> 中, <a href="/tags/37/" title="普通" class="c1" target="_blank">普通</a> <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/261/" title="考试" class="c1" target="_blank">考试</a> <a href="/tags/491/" title="学校" class="c1" target="_blank">学校</a> <a href="/tags/982/" title="湖南省" class="c1" target="_blank">湖南省</a> ,点DBC上,且 <a href="/tags/37/" title="普通" class="c1" target="_blank">普通</a> <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/261/" title="考试" class="c1" target="_blank">考试</a> <a href="/tags/491/" title="学校" class="c1" target="_blank">学校</a> <a href="/tags/982/" title="湖南省" class="c1" target="_blank">湖南省</a>  <a href="/tags/37/" title="普通" class="c1" target="_blank">普通</a> <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/261/" title="考试" class="c1" target="_blank">考试</a> <a href="/tags/491/" title="学校" class="c1" target="_blank">学校</a> <a href="/tags/982/" title="湖南省" class="c1" target="_blank">湖南省</a>  <a href="/tags/37/" title="普通" class="c1" target="_blank">普通</a> <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/261/" title="考试" class="c1" target="_blank">考试</a> <a href="/tags/491/" title="学校" class="c1" target="_blank">学校</a> <a href="/tags/982/" title="湖南省" class="c1" target="_blank">湖南省</a>
 <a href="/tags/37/" title="普通" class="c1" target="_blank">普通</a> <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/261/" title="考试" class="c1" target="_blank">考试</a> <a href="/tags/491/" title="学校" class="c1" target="_blank">学校</a> <a href="/tags/982/" title="湖南省" class="c1" target="_blank">湖南省</a>
1)求AC
2)求 <a href="/tags/37/" title="普通" class="c1" target="_blank">普通</a> <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/261/" title="考试" class="c1" target="_blank">考试</a> <a href="/tags/491/" title="学校" class="c1" target="_blank">学校</a> <a href="/tags/982/" title="湖南省" class="c1" target="_blank">湖南省</a> .

22.某学校租用AB两种型号的客安排900名学生外出研学.AB两种车辆客量与租金如下表所示

车辆型号

客量(人/

租金(元/

A

60

3600

B

36

2400


学校要求租车总数不超23,且A不多于B7.学校如何划租,才能使租金最少?并求出租金的最小.

参考答案

1.A

【解析】
直接进行交集运算即可求解.
因为集合 <a href="/tags/37/" title="普通" class="c1" target="_blank">普通</a> <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/261/" title="考试" class="c1" target="_blank">考试</a> <a href="/tags/491/" title="学校" class="c1" target="_blank">学校</a> <a href="/tags/982/" title="湖南省" class="c1" target="_blank">湖南省</a>  <a href="/tags/37/" title="普通" class="c1" target="_blank">普通</a> <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/261/" title="考试" class="c1" target="_blank">考试</a> <a href="/tags/491/" title="学校" class="c1" target="_blank">学校</a> <a href="/tags/982/" title="湖南省" class="c1" target="_blank">湖南省</a>
所以 <a href="/tags/37/" title="普通" class="c1" target="_blank">普通</a> <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/261/" title="考试" class="c1" target="_blank">考试</a> <a href="/tags/491/" title="学校" class="c1" target="_blank">学校</a> <a href="/tags/982/" title="湖南省" class="c1" target="_blank">湖南省</a>
故选:A.

2.B

【解析】
根据对数函数的真数大于 <a href="/tags/37/" title="普通" class="c1" target="_blank">普通</a> <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/261/" title="考试" class="c1" target="_blank">考试</a> <a href="/tags/491/" title="学校" class="c1" target="_blank">学校</a> <a href="/tags/982/" title="湖南省" class="c1" target="_blank">湖南省</a> 即可求解.
由题意可得: <a href="/tags/37/" title="普通" class="c1" target="_blank">普通</a> <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/261/" title="考试" class="c1" target="_blank">考试</a> <a href="/tags/491/" title="学校" class="c1" target="_blank">学校</a> <a href="/tags/982/" title="湖南省" class="c1" target="_blank">湖南省</a> ,解得: <a href="/tags/37/" title="普通" class="c1" target="_blank">普通</a> <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/261/" title="考试" class="c1" target="_blank">考试</a> <a href="/tags/491/" title="学校" class="c1" target="_blank">学校</a> <a href="/tags/982/" title="湖南省" class="c1" target="_blank">湖南省</a>
所以函数 <a href="/tags/37/" title="普通" class="c1" target="_blank">普通</a> <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/261/" title="考试" class="c1" target="_blank">考试</a> <a href="/tags/491/" title="学校" class="c1" target="_blank">学校</a> <a href="/tags/982/" title="湖南省" class="c1" target="_blank">湖南省</a> 的定义域为 <a href="/tags/37/" title="普通" class="c1" target="_blank">普通</a> <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/261/" title="考试" class="c1" target="_blank">考试</a> <a href="/tags/491/" title="学校" class="c1" target="_blank">学校</a> <a href="/tags/982/" title="湖南省" class="c1" target="_blank">湖南省</a>
故选:B.

3.C

【解析】
求出二次函数的对称轴,根据二次函数的性质即可求解.
函数 <a href="/tags/37/" title="普通" class="c1" target="_blank">普通</a> <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/261/" title="考试" class="c1" target="_blank">考试</a> <a href="/tags/491/" title="学校" class="c1" target="_blank">学校</a> <a href="/tags/982/" title="湖南省" class="c1" target="_blank">湖南省</a> 的对称轴为 <a href="/tags/37/" title="普通" class="c1" target="_blank">普通</a> <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/261/" title="考试" class="c1" target="_blank">考试</a> <a href="/tags/491/" title="学校" class="c1" target="_blank">学校</a> <a href="/tags/982/" title="湖南省" class="c1" target="_blank">湖南省</a> ,开口向上,
所以函数 <a href="/tags/37/" title="普通" class="c1" target="_blank">普通</a> <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/261/" title="考试" class="c1" target="_blank">考试</a> <a href="/tags/491/" title="学校" class="c1" target="_blank">学校</a> <a href="/tags/982/" title="湖南省" class="c1" target="_blank">湖南省</a> 的单调递减区间是 <a href="/tags/37/" title="普通" class="c1" target="_blank">普通</a> <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/261/" title="考试" class="c1" target="_blank">考试</a> <a href="/tags/491/" title="学校" class="c1" target="_blank">学校</a> <a href="/tags/982/" title="湖南省" class="c1" target="_blank">湖南省</a>
故选:C.

4.B

【解析】
根据“左+-”的平移规律判断选项.
根据平移规律可知, <a href="/tags/37/" title="普通" class="c1" target="_blank">普通</a> <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/261/" title="考试" class="c1" target="_blank">考试</a> <a href="/tags/491/" title="学校" class="c1" target="_blank">学校</a> <a href="/tags/982/" title="湖南省" class="c1" target="_blank">湖南省</a> 只需向左平移 <a href="/tags/37/" title="普通" class="c1" target="_blank">普通</a> <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/261/" title="考试" class="c1" target="_blank">考试</a> <a href="/tags/491/" title="学校" class="c1" target="_blank">学校</a> <a href="/tags/982/" title="湖南省" class="c1" target="_blank">湖南省</a> 个单位得到 <a href="/tags/37/" title="普通" class="c1" target="_blank">普通</a> <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/261/" title="考试" class="c1" target="_blank">考试</a> <a href="/tags/491/" title="学校" class="c1" target="_blank">学校</a> <a href="/tags/982/" title="湖南省" class="c1" target="_blank">湖南省</a> .
故选:B

5.D

【解析】
利用点到直线的距离公式即可求解.
 <a href="/tags/37/" title="普通" class="c1" target="_blank">普通</a> <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/261/" title="考试" class="c1" target="_blank">考试</a> <a href="/tags/491/" title="学校" class="c1" target="_blank">学校</a> <a href="/tags/982/" title="湖南省" class="c1" target="_blank">湖南省</a> 到直线 <a href="/tags/37/" title="普通" class="c1" target="_blank">普通</a> <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/261/" title="考试" class="c1" target="_blank">考试</a> <a href="/tags/491/" title="学校" class="c1" target="_blank">学校</a> <a href="/tags/982/" title="湖南省" class="c1" target="_blank">湖南省</a> 的距离为 <a href="/tags/37/" title="普通" class="c1" target="_blank">普通</a> <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/261/" title="考试" class="c1" target="_blank">考试</a> <a href="/tags/491/" title="学校" class="c1" target="_blank">学校</a> <a href="/tags/982/" title="湖南省" class="c1" target="_blank">湖南省</a>
故选:D.

6.C

【解析】
根据绝对值的几何意义去绝对值即可求解.
 <a href="/tags/37/" title="普通" class="c1" target="_blank">普通</a> <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/261/" title="考试" class="c1" target="_blank">考试</a> <a href="/tags/491/" title="学校" class="c1" target="_blank">学校</a> <a href="/tags/982/" title="湖南省" class="c1" target="_blank">湖南省</a> 可得: <a href="/tags/37/" title="普通" class="c1" target="_blank">普通</a> <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/261/" title="考试" class="c1" target="_blank">考试</a> <a href="/tags/491/" title="学校" class="c1" target="_blank">学校</a> <a href="/tags/982/" title="湖南省" class="c1" target="_blank">湖南省</a> ,解得: <a href="/tags/37/" title="普通" class="c1" target="_blank">普通</a> <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/261/" title="考试" class="c1" target="_blank">考试</a> <a href="/tags/491/" title="学校" class="c1" target="_blank">学校</a> <a href="/tags/982/" title="湖南省" class="c1" target="_blank">湖南省</a>
所以原不等式的解集为: <a href="/tags/37/" title="普通" class="c1" target="_blank">普通</a> <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/261/" title="考试" class="c1" target="_blank">考试</a> <a href="/tags/491/" title="学校" class="c1" target="_blank">学校</a> <a href="/tags/982/" title="湖南省" class="c1" target="_blank">湖南省</a>
故选:C.

7.A

【解析】
 <a href="/tags/37/" title="普通" class="c1" target="_blank">普通</a> <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/261/" title="考试" class="c1" target="_blank">考试</a> <a href="/tags/491/" title="学校" class="c1" target="_blank">学校</a> <a href="/tags/982/" title="湖南省" class="c1" target="_blank">湖南省</a> 代入 <a href="/tags/37/" title="普通" class="c1" target="_blank">普通</a> <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/261/" title="考试" class="c1" target="_blank">考试</a> <a href="/tags/491/" title="学校" class="c1" target="_blank">学校</a> <a href="/tags/982/" title="湖南省" class="c1" target="_blank">湖南省</a> 可判断充分性,求解方程 <a href="/tags/37/" title="普通" class="c1" target="_blank">普通</a> <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/261/" title="考试" class="c1" target="_blank">考试</a> <a href="/tags/491/" title="学校" class="c1" target="_blank">学校</a> <a href="/tags/982/" title="湖南省" class="c1" target="_blank">湖南省</a> 可判断必要性,即可得到结果.
 <a href="/tags/37/" title="普通" class="c1" target="_blank">普通</a> <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/261/" title="考试" class="c1" target="_blank">考试</a> <a href="/tags/491/" title="学校" class="c1" target="_blank">学校</a> <a href="/tags/982/" title="湖南省" class="c1" target="_blank">湖南省</a> 代入 <a href="/tags/37/" title="普通" class="c1" target="_blank">普通</a> <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/261/" title="考试" class="c1" target="_blank">考试</a> <a href="/tags/491/" title="学校" class="c1" target="_blank">学校</a> <a href="/tags/982/" title="湖南省" class="c1" target="_blank">湖南省</a> 中可得 <a href="/tags/37/" title="普通" class="c1" target="_blank">普通</a> <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/261/" title="考试" class="c1" target="_blank">考试</a> <a href="/tags/491/" title="学校" class="c1" target="_blank">学校</a> <a href="/tags/982/" title="湖南省" class="c1" target="_blank">湖南省</a> ,即“ <a href="/tags/37/" title="普通" class="c1" target="_blank">普通</a> <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/261/" title="考试" class="c1" target="_blank">考试</a> <a href="/tags/491/" title="学校" class="c1" target="_blank">学校</a> <a href="/tags/982/" title="湖南省" class="c1" target="_blank">湖南省</a> ”是“ <a href="/tags/37/" title="普通" class="c1" target="_blank">普通</a> <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/261/" title="考试" class="c1" target="_blank">考试</a> <a href="/tags/491/" title="学校" class="c1" target="_blank">学校</a> <a href="/tags/982/" title="湖南省" class="c1" target="_blank">湖南省</a> ”的充分条件;
 <a href="/tags/37/" title="普通" class="c1" target="_blank">普通</a> <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/261/" title="考试" class="c1" target="_blank">考试</a> <a href="/tags/491/" title="学校" class="c1" target="_blank">学校</a> <a href="/tags/982/" title="湖南省" class="c1" target="_blank">湖南省</a> 可得 <a href="/tags/37/" title="普通" class="c1" target="_blank">普通</a> <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/261/" title="考试" class="c1" target="_blank">考试</a> <a href="/tags/491/" title="学校" class="c1" target="_blank">学校</a> <a href="/tags/982/" title="湖南省" class="c1" target="_blank">湖南省</a> , <a href="/tags/37/" title="普通" class="c1" target="_blank">普通</a> <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/261/" title="考试" class="c1" target="_blank">考试</a> <a href="/tags/491/" title="学校" class="c1" target="_blank">学校</a> <a href="/tags/982/" title="湖南省" class="c1" target="_blank">湖南省</a>  <a href="/tags/37/" title="普通" class="c1" target="_blank">普通</a> <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/261/" title="考试" class="c1" target="_blank">考试</a> <a href="/tags/491/" title="学校" class="c1" target="_blank">学校</a> <a href="/tags/982/" title="湖南省" class="c1" target="_blank">湖南省</a> ,所以“ <a href="/tags/37/" title="普通" class="c1" target="_blank">普通</a> <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/261/" title="考试" class="c1" target="_blank">考试</a> <a href="/tags/491/" title="学校" class="c1" target="_blank">学校</a> <a href="/tags/982/" title="湖南省" class="c1" target="_blank">湖南省</a> ”不是“ <a href="/tags/37/" title="普通" class="c1" target="_blank">普通</a> <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/261/" title="考试" class="c1" target="_blank">考试</a> <a href="/tags/491/" title="学校" class="c1" target="_blank">学校</a> <a href="/tags/982/" title="湖南省" class="c1" target="_blank">湖南省</a> ”的必要条件,
故选:A

8.A

【解析】
根据不等式的性质,或代入特殊值判断选项.
A.
根据不等式的性质可知,A正确;
B.
 <a href="/tags/37/" title="普通" class="c1" target="_blank">普通</a> <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/261/" title="考试" class="c1" target="_blank">考试</a> <a href="/tags/491/" title="学校" class="c1" target="_blank">学校</a> <a href="/tags/982/" title="湖南省" class="c1" target="_blank">湖南省</a>  <a href="/tags/37/" title="普通" class="c1" target="_blank">普通</a> <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/261/" title="考试" class="c1" target="_blank">考试</a> <a href="/tags/491/" title="学校" class="c1" target="_blank">学校</a> <a href="/tags/982/" title="湖南省" class="c1" target="_blank">湖南省</a>  <a href="/tags/37/" title="普通" class="c1" target="_blank">普通</a> <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/261/" title="考试" class="c1" target="_blank">考试</a> <a href="/tags/491/" title="学校" class="c1" target="_blank">学校</a> <a href="/tags/982/" title="湖南省" class="c1" target="_blank">湖南省</a> ,可知B不正确;
C.
 <a href="/tags/37/" title="普通" class="c1" target="_blank">普通</a> <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/261/" title="考试" class="c1" target="_blank">考试</a> <a href="/tags/491/" title="学校" class="c1" target="_blank">学校</a> <a href="/tags/982/" title="湖南省" class="c1" target="_blank">湖南省</a>  <a href="/tags/37/" title="普通" class="c1" target="_blank">普通</a> <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/261/" title="考试" class="c1" target="_blank">考试</a> <a href="/tags/491/" title="学校" class="c1" target="_blank">学校</a> <a href="/tags/982/" title="湖南省" class="c1" target="_blank">湖南省</a>  <a href="/tags/37/" title="普通" class="c1" target="_blank">普通</a> <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/261/" title="考试" class="c1" target="_blank">考试</a> <a href="/tags/491/" title="学校" class="c1" target="_blank">学校</a> <a href="/tags/982/" title="湖南省" class="c1" target="_blank">湖南省</a> ,故C不正确;
D.
 <a href="/tags/37/" title="普通" class="c1" target="_blank">普通</a> <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/261/" title="考试" class="c1" target="_blank">考试</a> <a href="/tags/491/" title="学校" class="c1" target="_blank">学校</a> <a href="/tags/982/" title="湖南省" class="c1" target="_blank">湖南省</a>  <a href="/tags/37/" title="普通" class="c1" target="_blank">普通</a> <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/261/" title="考试" class="c1" target="_blank">考试</a> <a href="/tags/491/" title="学校" class="c1" target="_blank">学校</a> <a href="/tags/982/" title="湖南省" class="c1" target="_blank">湖南省</a>  <a href="/tags/37/" title="普通" class="c1" target="_blank">普通</a> <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/261/" title="考试" class="c1" target="_blank">考试</a> <a href="/tags/491/" title="学校" class="c1" target="_blank">学校</a> <a href="/tags/982/" title="湖南省" class="c1" target="_blank">湖南省</a> ,故D不正确.
故选:A

9.D

【解析】
根据线面的位置关系可判断A;举反例判断BC;由面面垂直的判定定理可判断D,进而可得正确选项.
对于A:若 <a href="/tags/37/" title="普通" class="c1" target="_blank">普通</a> <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/261/" title="考试" class="c1" target="_blank">考试</a> <a href="/tags/491/" title="学校" class="c1" target="_blank">学校</a> <a href="/tags/982/" title="湖南省" class="c1" target="_blank">湖南省</a>  <a href="/tags/37/" title="普通" class="c1" target="_blank">普通</a> <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/261/" title="考试" class="c1" target="_blank">考试</a> <a href="/tags/491/" title="学校" class="c1" target="_blank">学校</a> <a href="/tags/982/" title="湖南省" class="c1" target="_blank">湖南省</a> ,则 <a href="/tags/37/" title="普通" class="c1" target="_blank">普通</a> <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/261/" title="考试" class="c1" target="_blank">考试</a> <a href="/tags/491/" title="学校" class="c1" target="_blank">学校</a> <a href="/tags/982/" title="湖南省" class="c1" target="_blank">湖南省</a>  <a href="/tags/37/" title="普通" class="c1" target="_blank">普通</a> <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/261/" title="考试" class="c1" target="_blank">考试</a> <a href="/tags/491/" title="学校" class="c1" target="_blank">学校</a> <a href="/tags/982/" title="湖南省" class="c1" target="_blank">湖南省</a> ,故选项A不正确;
对于B:如图平面 <a href="/tags/37/" title="普通" class="c1" target="_blank">普通</a> <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/261/" title="考试" class="c1" target="_blank">考试</a> <a href="/tags/491/" title="学校" class="c1" target="_blank">学校</a> <a href="/tags/982/" title="湖南省" class="c1" target="_blank">湖南省</a> 为平面 <a href="/tags/37/" title="普通" class="c1" target="_blank">普通</a> <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/261/" title="考试" class="c1" target="_blank">考试</a> <a href="/tags/491/" title="学校" class="c1" target="_blank">学校</a> <a href="/tags/982/" title="湖南省" class="c1" target="_blank">湖南省</a> ,平面 <a href="/tags/37/" title="普通" class="c1" target="_blank">普通</a> <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/261/" title="考试" class="c1" target="_blank">考试</a> <a href="/tags/491/" title="学校" class="c1" target="_blank">学校</a> <a href="/tags/982/" title="湖南省" class="c1" target="_blank">湖南省</a> 为平面 <a href="/tags/37/" title="普通" class="c1" target="_blank">普通</a> <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/261/" title="考试" class="c1" target="_blank">考试</a> <a href="/tags/491/" title="学校" class="c1" target="_blank">学校</a> <a href="/tags/982/" title="湖南省" class="c1" target="_blank">湖南省</a> ,直线 <a href="/tags/37/" title="普通" class="c1" target="_blank">普通</a> <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/261/" title="考试" class="c1" target="_blank">考试</a> <a href="/tags/491/" title="学校" class="c1" target="_blank">学校</a> <a href="/tags/982/" title="湖南省" class="c1" target="_blank">湖南省</a>  <a href="/tags/37/" title="普通" class="c1" target="_blank">普通</a> <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/261/" title="考试" class="c1" target="_blank">考试</a> <a href="/tags/491/" title="学校" class="c1" target="_blank">学校</a> <a href="/tags/982/" title="湖南省" class="c1" target="_blank">湖南省</a> ,直线 <a href="/tags/37/" title="普通" class="c1" target="_blank">普通</a> <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/261/" title="考试" class="c1" target="_blank">考试</a> <a href="/tags/491/" title="学校" class="c1" target="_blank">学校</a> <a href="/tags/982/" title="湖南省" class="c1" target="_blank">湖南省</a>  <a href="/tags/37/" title="普通" class="c1" target="_blank">普通</a> <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/261/" title="考试" class="c1" target="_blank">考试</a> <a href="/tags/491/" title="学校" class="c1" target="_blank">学校</a> <a href="/tags/982/" title="湖南省" class="c1" target="_blank">湖南省</a> ,满足 <a href="/tags/37/" title="普通" class="c1" target="_blank">普通</a> <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/261/" title="考试" class="c1" target="_blank">考试</a> <a href="/tags/491/" title="学校" class="c1" target="_blank">学校</a> <a href="/tags/982/" title="湖南省" class="c1" target="_blank">湖南省</a>  <a href="/tags/37/" title="普通" class="c1" target="_blank">普通</a> <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/261/" title="考试" class="c1" target="_blank">考试</a> <a href="/tags/491/" title="学校" class="c1" target="_blank">学校</a> <a href="/tags/982/" title="湖南省" class="c1" target="_blank">湖南省</a>  <a href="/tags/37/" title="普通" class="c1" target="_blank">普通</a> <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/261/" title="考试" class="c1" target="_blank">考试</a> <a href="/tags/491/" title="学校" class="c1" target="_blank">学校</a> <a href="/tags/982/" title="湖南省" class="c1" target="_blank">湖南省</a> ,但 <a href="/tags/37/" title="普通" class="c1" target="_blank">普通</a> <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/261/" title="考试" class="c1" target="_blank">考试</a> <a href="/tags/491/" title="学校" class="c1" target="_blank">学校</a> <a href="/tags/982/" title="湖南省" class="c1" target="_blank">湖南省</a>  <a href="/tags/37/" title="普通" class="c1" target="_blank">普通</a> <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/261/" title="考试" class="c1" target="_blank">考试</a> <a href="/tags/491/" title="学校" class="c1" target="_blank">学校</a> <a href="/tags/982/" title="湖南省" class="c1" target="_blank">湖南省</a> 相交,故选项B不正确;
 <a href="/tags/37/" title="普通" class="c1" target="_blank">普通</a> <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/261/" title="考试" class="c1" target="_blank">考试</a> <a href="/tags/491/" title="学校" class="c1" target="_blank">学校</a> <a href="/tags/982/" title="湖南省" class="c1" target="_blank">湖南省</a>
对于C:如图在正方体 <a href="/tags/37/" title="普通" class="c1" target="_blank">普通</a> <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/261/" title="考试" class="c1" target="_blank">考试</a> <a href="/tags/491/" title="学校" class="c1" target="_blank">学校</a> <a href="/tags/982/" title="湖南省" class="c1" target="_blank">湖南省</a> 中,平面 <a href="/tags/37/" title="普通" class="c1" target="_blank">普通</a> <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/261/" title="考试" class="c1" target="_blank">考试</a> <a href="/tags/491/" title="学校" class="c1" target="_blank">学校</a> <a href="/tags/982/" title="湖南省" class="c1" target="_blank">湖南省</a> 为平面 <a href="/tags/37/" title="普通" class="c1" target="_blank">普通</a> <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/261/" title="考试" class="c1" target="_blank">考试</a> <a href="/tags/491/" title="学校" class="c1" target="_blank">学校</a> <a href="/tags/982/" title="湖南省" class="c1" target="_blank">湖南省</a> ,平面 <a href="/tags/37/" title="普通" class="c1" target="_blank">普通</a> <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/261/" title="考试" class="c1" target="_blank">考试</a> <a href="/tags/491/" title="学校" class="c1" target="_blank">学校</a> <a href="/tags/982/" title="湖南省" class="c1" target="_blank">湖南省</a> 为平面 <a href="/tags/37/" title="普通" class="c1" target="_blank">普通</a> <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/261/" title="考试" class="c1" target="_blank">考试</a> <a href="/tags/491/" title="学校" class="c1" target="_blank">学校</a> <a href="/tags/982/" title="湖南省" class="c1" target="_blank">湖南省</a> ,直线 <a href="/tags/37/" title="普通" class="c1" target="_blank">普通</a> <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/261/" title="考试" class="c1" target="_blank">考试</a> <a href="/tags/491/" title="学校" class="c1" target="_blank">学校</a> <a href="/tags/982/" title="湖南省" class="c1" target="_blank">湖南省</a>  <a href="/tags/37/" title="普通" class="c1" target="_blank">普通</a> <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/261/" title="考试" class="c1" target="_blank">考试</a> <a href="/tags/491/" title="学校" class="c1" target="_blank">学校</a> <a href="/tags/982/" title="湖南省" class="c1" target="_blank">湖南省</a> ,直线 <a href="/tags/37/" title="普通" class="c1" target="_blank">普通</a> <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/261/" title="考试" class="c1" target="_blank">考试</a> <a href="/tags/491/" title="学校" class="c1" target="_blank">学校</a> <a href="/tags/982/" title="湖南省" class="c1" target="_blank">湖南省</a>  <a href="/tags/37/" title="普通" class="c1" target="_blank">普通</a> <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/261/" title="考试" class="c1" target="_blank">考试</a> <a href="/tags/491/" title="学校" class="c1" target="_blank">学校</a> <a href="/tags/982/" title="湖南省" class="c1" target="_blank">湖南省</a> ,满足 <a href="/tags/37/" title="普通" class="c1" target="_blank">普通</a> <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/261/" title="考试" class="c1" target="_blank">考试</a> <a href="/tags/491/" title="学校" class="c1" target="_blank">学校</a> <a href="/tags/982/" title="湖南省" class="c1" target="_blank">湖南省</a>  <a href="/tags/37/" title="普通" class="c1" target="_blank">普通</a> <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/261/" title="考试" class="c1" target="_blank">考试</a> <a href="/tags/491/" title="学校" class="c1" target="_blank">学校</a> <a href="/tags/982/" title="湖南省" class="c1" target="_blank">湖南省</a>  <a href="/tags/37/" title="普通" class="c1" target="_blank">普通</a> <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/261/" title="考试" class="c1" target="_blank">考试</a> <a href="/tags/491/" title="学校" class="c1" target="_blank">学校</a> <a href="/tags/982/" title="湖南省" class="c1" target="_blank">湖南省</a> ,则 <a href="/tags/37/" title="普通" class="c1" target="_blank">普通</a> <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/261/" title="考试" class="c1" target="_blank">考试</a> <a href="/tags/491/" title="学校" class="c1" target="_blank">学校</a> <a href="/tags/982/" title="湖南省" class="c1" target="_blank">湖南省</a> ,故选项C不正确;
 <a href="/tags/37/" title="普通" class="c1" target="_blank">普通</a> <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/261/" title="考试" class="c1" target="_blank">考试</a> <a href="/tags/491/" title="学校" class="c1" target="_blank">学校</a> <a href="/tags/982/" title="湖南省" class="c1" target="_blank">湖南省</a>
对于D:若 <a href="/tags/37/" title="普通" class="c1" target="_blank">普通</a> <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/261/" title="考试" class="c1" target="_blank">考试</a> <a href="/tags/491/" title="学校" class="c1" target="_blank">学校</a> <a href="/tags/982/" title="湖南省" class="c1" target="_blank">湖南省</a>  <a href="/tags/37/" title="普通" class="c1" target="_blank">普通</a> <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/261/" title="考试" class="c1" target="_blank">考试</a> <a href="/tags/491/" title="学校" class="c1" target="_blank">学校</a> <a href="/tags/982/" title="湖南省" class="c1" target="_blank">湖南省</a> ,可得 <a href="/tags/37/" title="普通" class="c1" target="_blank">普通</a> <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/261/" title="考试" class="c1" target="_blank">考试</a> <a href="/tags/491/" title="学校" class="c1" target="_blank">学校</a> <a href="/tags/982/" title="湖南省" class="c1" target="_blank">湖南省</a>  <a href="/tags/37/" title="普通" class="c1" target="_blank">普通</a> <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/261/" title="考试" class="c1" target="_blank">考试</a> <a href="/tags/491/" title="学校" class="c1" target="_blank">学校</a> <a href="/tags/982/" title="湖南省" class="c1" target="_blank">湖南省</a> ,若 <a href="/tags/37/" title="普通" class="c1" target="_blank">普通</a> <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/261/" title="考试" class="c1" target="_blank">考试</a> <a href="/tags/491/" title="学校" class="c1" target="_blank">学校</a> <a href="/tags/982/" title="湖南省" class="c1" target="_blank">湖南省</a> ,因为 <a href="/tags/37/" title="普通" class="c1" target="_blank">普通</a> <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/261/" title="考试" class="c1" target="_blank">考试</a> <a href="/tags/491/" title="学校" class="c1" target="_blank">学校</a> <a href="/tags/982/" title="湖南省" class="c1" target="_blank">湖南省</a> ,由面面垂直的判定定理可得 <a href="/tags/37/" title="普通" class="c1" target="_blank">普通</a> <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/261/" title="考试" class="c1" target="_blank">考试</a> <a href="/tags/491/" title="学校" class="c1" target="_blank">学校</a> <a href="/tags/982/" title="湖南省" class="c1" target="_blank">湖南省</a> ;若 <a href="/tags/37/" title="普通" class="c1" target="_blank">普通</a> <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/261/" title="考试" class="c1" target="_blank">考试</a> <a href="/tags/491/" title="学校" class="c1" target="_blank">学校</a> <a href="/tags/982/" title="湖南省" class="c1" target="_blank">湖南省</a> ,可过 <a href="/tags/37/" title="普通" class="c1" target="_blank">普通</a> <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/261/" title="考试" class="c1" target="_blank">考试</a> <a href="/tags/491/" title="学校" class="c1" target="_blank">学校</a> <a href="/tags/982/" title="湖南省" class="c1" target="_blank">湖南省</a> 作平面与 <a href="/tags/37/" title="普通" class="c1" target="_blank">普通</a> <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/261/" title="考试" class="c1" target="_blank">考试</a> <a href="/tags/491/" title="学校" class="c1" target="_blank">学校</a> <a href="/tags/982/" title="湖南省" class="c1" target="_blank">湖南省</a> 相交,则交线在平面 <a href="/tags/37/" title="普通" class="c1" target="_blank">普通</a> <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/261/" title="考试" class="c1" target="_blank">考试</a> <a href="/tags/491/" title="学校" class="c1" target="_blank">学校</a> <a href="/tags/982/" title="湖南省" class="c1" target="_blank">湖南省</a> 内,且交线与 <a href="/tags/37/" title="普通" class="c1" target="_blank">普通</a> <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/261/" title="考试" class="c1" target="_blank">考试</a> <a href="/tags/491/" title="学校" class="c1" target="_blank">学校</a> <a href="/tags/982/" title="湖南省" class="c1" target="_blank">湖南省</a> 平行,由 <a href="/tags/37/" title="普通" class="c1" target="_blank">普通</a> <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/261/" title="考试" class="c1" target="_blank">考试</a> <a href="/tags/491/" title="学校" class="c1" target="_blank">学校</a> <a href="/tags/982/" title="湖南省" class="c1" target="_blank">湖南省</a> 可得交线与 <a href="/tags/37/" title="普通" class="c1" target="_blank">普通</a> <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/261/" title="考试" class="c1" target="_blank">考试</a> <a href="/tags/491/" title="学校" class="c1" target="_blank">学校</a> <a href="/tags/982/" title="湖南省" class="c1" target="_blank">湖南省</a> 垂直,由面面垂直的判定定理可得 <a href="/tags/37/" title="普通" class="c1" target="_blank">普通</a> <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/261/" title="考试" class="c1" target="_blank">考试</a> <a href="/tags/491/" title="学校" class="c1" target="_blank">学校</a> <a href="/tags/982/" title="湖南省" class="c1" target="_blank">湖南省</a> ,故选项D正确;
故选:D.

10.D

【解析】
根据高中生的总人数乘以抽样比 <a href="/tags/37/" title="普通" class="c1" target="_blank">普通</a> <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/261/" title="考试" class="c1" target="_blank">考试</a> <a href="/tags/491/" title="学校" class="c1" target="_blank">学校</a> <a href="/tags/982/" title="湖南省" class="c1" target="_blank">湖南省</a> 可得所抽的高中生人数,再由近视率为 <a href="/tags/37/" title="普通" class="c1" target="_blank">普通</a> <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/261/" title="考试" class="c1" target="_blank">考试</a> <a href="/tags/491/" title="学校" class="c1" target="_blank">学校</a> <a href="/tags/982/" title="湖南省" class="c1" target="_blank">湖南省</a> 即可求解.
由图(1)知高中生的总人数为 <a href="/tags/37/" title="普通" class="c1" target="_blank">普通</a> <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/261/" title="考试" class="c1" target="_blank">考试</a> <a href="/tags/491/" title="学校" class="c1" target="_blank">学校</a> <a href="/tags/982/" title="湖南省" class="c1" target="_blank">湖南省</a> 人,
所以应抽取的高中生为 <a href="/tags/37/" title="普通" class="c1" target="_blank">普通</a> <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/261/" title="考试" class="c1" target="_blank">考试</a> <a href="/tags/491/" title="学校" class="c1" target="_blank">学校</a> <a href="/tags/982/" title="湖南省" class="c1" target="_blank">湖南省</a> 人,
抽取的高中生中,近视人数约为 <a href="/tags/37/" title="普通" class="c1" target="_blank">普通</a> <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/261/" title="考试" class="c1" target="_blank">考试</a> <a href="/tags/491/" title="学校" class="c1" target="_blank">学校</a> <a href="/tags/982/" title="湖南省" class="c1" target="_blank">湖南省</a> 人,
故选:D

11. <a href="/tags/37/" title="普通" class="c1" target="_blank">普通</a> <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/261/" title="考试" class="c1" target="_blank">考试</a> <a href="/tags/491/" title="学校" class="c1" target="_blank">学校</a> <a href="/tags/982/" title="湖南省" class="c1" target="_blank">湖南省</a>

【解析】
首先求 <a href="/tags/37/" title="普通" class="c1" target="_blank">普通</a> <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/261/" title="考试" class="c1" target="_blank">考试</a> <a href="/tags/491/" title="学校" class="c1" target="_blank">学校</a> <a href="/tags/982/" title="湖南省" class="c1" target="_blank">湖南省</a> 的值,再求 <a href="/tags/37/" title="普通" class="c1" target="_blank">普通</a> <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/261/" title="考试" class="c1" target="_blank">考试</a> <a href="/tags/491/" title="学校" class="c1" target="_blank">学校</a> <a href="/tags/982/" title="湖南省" class="c1" target="_blank">湖南省</a> .
 <a href="/tags/37/" title="普通" class="c1" target="_blank">普通</a> <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/261/" title="考试" class="c1" target="_blank">考试</a> <a href="/tags/491/" title="学校" class="c1" target="_blank">学校</a> <a href="/tags/982/" title="湖南省" class="c1" target="_blank">湖南省</a> ,且 <a href="/tags/37/" title="普通" class="c1" target="_blank">普通</a> <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/261/" title="考试" class="c1" target="_blank">考试</a> <a href="/tags/491/" title="学校" class="c1" target="_blank">学校</a> <a href="/tags/982/" title="湖南省" class="c1" target="_blank">湖南省</a> 为第四象限角,
 <a href="/tags/37/" title="普通" class="c1" target="_blank">普通</a> <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/261/" title="考试" class="c1" target="_blank">考试</a> <a href="/tags/491/" title="学校" class="c1" target="_blank">学校</a> <a href="/tags/982/" title="湖南省" class="c1" target="_blank">湖南省</a>
 <a href="/tags/37/" title="普通" class="c1" target="_blank">普通</a> <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/261/" title="考试" class="c1" target="_blank">考试</a> <a href="/tags/491/" title="学校" class="c1" target="_blank">学校</a> <a href="/tags/982/" title="湖南省" class="c1" target="_blank">湖南省</a> .
故答案为: <a href="/tags/37/" title="普通" class="c1" target="_blank">普通</a> <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/261/" title="考试" class="c1" target="_blank">考试</a> <a href="/tags/491/" title="学校" class="c1" target="_blank">学校</a> <a href="/tags/982/" title="湖南省" class="c1" target="_blank">湖南省</a>

12. <a href="/tags/37/" title="普通" class="c1" target="_blank">普通</a> <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/261/" title="考试" class="c1" target="_blank">考试</a> <a href="/tags/491/" title="学校" class="c1" target="_blank">学校</a> <a href="/tags/982/" title="湖南省" class="c1" target="_blank">湖南省</a>

【解析】
利用向量模的坐标表示,即可求解.
 <a href="/tags/37/" title="普通" class="c1" target="_blank">普通</a> <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/261/" title="考试" class="c1" target="_blank">考试</a> <a href="/tags/491/" title="学校" class="c1" target="_blank">学校</a> <a href="/tags/982/" title="湖南省" class="c1" target="_blank">湖南省</a> ,所以 <a href="/tags/37/" title="普通" class="c1" target="_blank">普通</a> <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/261/" title="考试" class="c1" target="_blank">考试</a> <a href="/tags/491/" title="学校" class="c1" target="_blank">学校</a> <a href="/tags/982/" title="湖南省" class="c1" target="_blank">湖南省</a> .
故答案为: <a href="/tags/37/" title="普通" class="c1" target="_blank">普通</a> <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/261/" title="考试" class="c1" target="_blank">考试</a> <a href="/tags/491/" title="学校" class="c1" target="_blank">学校</a> <a href="/tags/982/" title="湖南省" class="c1" target="_blank">湖南省</a>

13.15

【解析】
写出二项展开式的通项,由 <a href="/tags/37/" title="普通" class="c1" target="_blank">普通</a> <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/261/" title="考试" class="c1" target="_blank">考试</a> <a href="/tags/491/" title="学校" class="c1" target="_blank">学校</a> <a href="/tags/982/" title="湖南省" class="c1" target="_blank">湖南省</a> 的指数为0求得 <a href="/tags/37/" title="普通" class="c1" target="_blank">普通</a> <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/261/" title="考试" class="c1" target="_blank">考试</a> <a href="/tags/491/" title="学校" class="c1" target="_blank">学校</a> <a href="/tags/982/" title="湖南省" class="c1" target="_blank">湖南省</a> 值,则答案可求.
解:由 <a href="/tags/37/" title="普通" class="c1" target="_blank">普通</a> <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/261/" title="考试" class="c1" target="_blank">考试</a> <a href="/tags/491/" title="学校" class="c1" target="_blank">学校</a> <a href="/tags/982/" title="湖南省" class="c1" target="_blank">湖南省</a>
 <a href="/tags/37/" title="普通" class="c1" target="_blank">普通</a> <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/261/" title="考试" class="c1" target="_blank">考试</a> <a href="/tags/491/" title="学校" class="c1" target="_blank">学校</a> <a href="/tags/982/" title="湖南省" class="c1" target="_blank">湖南省</a> ,得 <a href="/tags/37/" title="普通" class="c1" target="_blank">普通</a> <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/261/" title="考试" class="c1" target="_blank">考试</a> <a href="/tags/491/" title="学校" class="c1" target="_blank">学校</a> <a href="/tags/982/" title="湖南省" class="c1" target="_blank">湖南省</a>
 <a href="/tags/37/" title="普通" class="c1" target="_blank">普通</a> <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/261/" title="考试" class="c1" target="_blank">考试</a> <a href="/tags/491/" title="学校" class="c1" target="_blank">学校</a> <a href="/tags/982/" title="湖南省" class="c1" target="_blank">湖南省</a>  <a href="/tags/37/" title="普通" class="c1" target="_blank">普通</a> <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/261/" title="考试" class="c1" target="_blank">考试</a> <a href="/tags/491/" title="学校" class="c1" target="_blank">学校</a> <a href="/tags/982/" title="湖南省" class="c1" target="_blank">湖南省</a> 展开式中常数项为 <a href="/tags/37/" title="普通" class="c1" target="_blank">普通</a> <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/261/" title="考试" class="c1" target="_blank">考试</a> <a href="/tags/491/" title="学校" class="c1" target="_blank">学校</a> <a href="/tags/982/" title="湖南省" class="c1" target="_blank">湖南省</a>
故答案为:15

14. <a href="/tags/37/" title="普通" class="c1" target="_blank">普通</a> <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/261/" title="考试" class="c1" target="_blank">考试</a> <a href="/tags/491/" title="学校" class="c1" target="_blank">学校</a> <a href="/tags/982/" title="湖南省" class="c1" target="_blank">湖南省</a>

【解析】
根据圆的方程求出圆心坐标,再根据两直线垂直斜率乘积为 <a href="/tags/37/" title="普通" class="c1" target="_blank">普通</a> <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/261/" title="考试" class="c1" target="_blank">考试</a> <a href="/tags/491/" title="学校" class="c1" target="_blank">学校</a> <a href="/tags/982/" title="湖南省" class="c1" target="_blank">湖南省</a> 求出所求直线的斜率,再由点斜式即可得所求直线的方程.
 <a href="/tags/37/" title="普通" class="c1" target="_blank">普通</a> <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/261/" title="考试" class="c1" target="_blank">考试</a> <a href="/tags/491/" title="学校" class="c1" target="_blank">学校</a> <a href="/tags/982/" title="湖南省" class="c1" target="_blank">湖南省</a> 可得 <a href="/tags/37/" title="普通" class="c1" target="_blank">普通</a> <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/261/" title="考试" class="c1" target="_blank">考试</a> <a href="/tags/491/" title="学校" class="c1" target="_blank">学校</a> <a href="/tags/982/" title="湖南省" class="c1" target="_blank">湖南省</a>
所以圆心为 <a href="/tags/37/" title="普通" class="c1" target="_blank">普通</a> <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/261/" title="考试" class="c1" target="_blank">考试</a> <a href="/tags/491/" title="学校" class="c1" target="_blank">学校</a> <a href="/tags/982/" title="湖南省" class="c1" target="_blank">湖南省</a>
 <a href="/tags/37/" title="普通" class="c1" target="_blank">普通</a> <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/261/" title="考试" class="c1" target="_blank">考试</a> <a href="/tags/491/" title="学校" class="c1" target="_blank">学校</a> <a href="/tags/982/" title="湖南省" class="c1" target="_blank">湖南省</a> 可得 <a href="/tags/37/" title="普通" class="c1" target="_blank">普通</a> <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/261/" title="考试" class="c1" target="_blank">考试</a> <a href="/tags/491/" title="学校" class="c1" target="_blank">学校</a> <a href="/tags/982/" title="湖南省" class="c1" target="_blank">湖南省</a> ,所以直线 <a href="/tags/37/" title="普通" class="c1" target="_blank">普通</a> <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/261/" title="考试" class="c1" target="_blank">考试</a> <a href="/tags/491/" title="学校" class="c1" target="_blank">学校</a> <a href="/tags/982/" title="湖南省" class="c1" target="_blank">湖南省</a> 的斜率为 <a href="/tags/37/" title="普通" class="c1" target="_blank">普通</a> <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/261/" title="考试" class="c1" target="_blank">考试</a> <a href="/tags/491/" title="学校" class="c1" target="_blank">学校</a> <a href="/tags/982/" title="湖南省" class="c1" target="_blank">湖南省</a>
所以与直线 <a href="/tags/37/" title="普通" class="c1" target="_blank">普通</a> <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/261/" title="考试" class="c1" target="_blank">考试</a> <a href="/tags/491/" title="学校" class="c1" target="_blank">学校</a> <a href="/tags/982/" title="湖南省" class="c1" target="_blank">湖南省</a> 垂直的直线的斜率为 <a href="/tags/37/" title="普通" class="c1" target="_blank">普通</a> <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/261/" title="考试" class="c1" target="_blank">考试</a> <a href="/tags/491/" title="学校" class="c1" target="_blank">学校</a> <a href="/tags/982/" title="湖南省" class="c1" target="_blank">湖南省</a>
所以所求直线的方程为: <a href="/tags/37/" title="普通" class="c1" target="_blank">普通</a> <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/261/" title="考试" class="c1" target="_blank">考试</a> <a href="/tags/491/" title="学校" class="c1" target="_blank">学校</a> <a href="/tags/982/" title="湖南省" class="c1" target="_blank">湖南省</a> ,即 <a href="/tags/37/" title="普通" class="c1" target="_blank">普通</a> <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/261/" title="考试" class="c1" target="_blank">考试</a> <a href="/tags/491/" title="学校" class="c1" target="_blank">学校</a> <a href="/tags/982/" title="湖南省" class="c1" target="_blank">湖南省</a>
故答案为: <a href="/tags/37/" title="普通" class="c1" target="_blank">普通</a> <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/261/" title="考试" class="c1" target="_blank">考试</a> <a href="/tags/491/" title="学校" class="c1" target="_blank">学校</a> <a href="/tags/982/" title="湖南省" class="c1" target="_blank">湖南省</a> .

15. <a href="/tags/37/" title="普通" class="c1" target="_blank">普通</a> <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/261/" title="考试" class="c1" target="_blank">考试</a> <a href="/tags/491/" title="学校" class="c1" target="_blank">学校</a> <a href="/tags/982/" title="湖南省" class="c1" target="_blank">湖南省</a> .

【解析】
 <a href="/tags/37/" title="普通" class="c1" target="_blank">普通</a> <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/261/" title="考试" class="c1" target="_blank">考试</a> <a href="/tags/491/" title="学校" class="c1" target="_blank">学校</a> <a href="/tags/982/" title="湖南省" class="c1" target="_blank">湖南省</a>  <a href="/tags/37/" title="普通" class="c1" target="_blank">普通</a> <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/261/" title="考试" class="c1" target="_blank">考试</a> <a href="/tags/491/" title="学校" class="c1" target="_blank">学校</a> <a href="/tags/982/" title="湖南省" class="c1" target="_blank">湖南省</a>  <a href="/tags/37/" title="普通" class="c1" target="_blank">普通</a> <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/261/" title="考试" class="c1" target="_blank">考试</a> <a href="/tags/491/" title="学校" class="c1" target="_blank">学校</a> <a href="/tags/982/" title="湖南省" class="c1" target="_blank">湖南省</a> ,由 <a href="/tags/37/" title="普通" class="c1" target="_blank">普通</a> <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/261/" title="考试" class="c1" target="_blank">考试</a> <a href="/tags/491/" title="学校" class="c1" target="_blank">学校</a> <a href="/tags/982/" title="湖南省" class="c1" target="_blank">湖南省</a> 为奇函数得 <a href="/tags/37/" title="普通" class="c1" target="_blank">普通</a> <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/261/" title="考试" class="c1" target="_blank">考试</a> <a href="/tags/491/" title="学校" class="c1" target="_blank">学校</a> <a href="/tags/982/" title="湖南省" class="c1" target="_blank">湖南省</a> ,可求得 <a href="/tags/37/" title="普通" class="c1" target="_blank">普通</a> <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/261/" title="考试" class="c1" target="_blank">考试</a> <a href="/tags/491/" title="学校" class="c1" target="_blank">学校</a> <a href="/tags/982/" title="湖南省" class="c1" target="_blank">湖南省</a> ,再利用 <a href="/tags/37/" title="普通" class="c1" target="_blank">普通</a> <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/261/" title="考试" class="c1" target="_blank">考试</a> <a href="/tags/491/" title="学校" class="c1" target="_blank">学校</a> <a href="/tags/982/" title="湖南省" class="c1" target="_blank">湖南省</a> 得到答案.
因为 <a href="/tags/37/" title="普通" class="c1" target="_blank">普通</a> <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/261/" title="考试" class="c1" target="_blank">考试</a> <a href="/tags/491/" title="学校" class="c1" target="_blank">学校</a> <a href="/tags/982/" title="湖南省" class="c1" target="_blank">湖南省</a>  <a href="/tags/37/" title="普通" class="c1" target="_blank">普通</a> <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/261/" title="考试" class="c1" target="_blank">考试</a> <a href="/tags/491/" title="学校" class="c1" target="_blank">学校</a> <a href="/tags/982/" title="湖南省" class="c1" target="_blank">湖南省</a>
所以 <a href="/tags/37/" title="普通" class="c1" target="_blank">普通</a> <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/261/" title="考试" class="c1" target="_blank">考试</a> <a href="/tags/491/" title="学校" class="c1" target="_blank">学校</a> <a href="/tags/982/" title="湖南省" class="c1" target="_blank">湖南省</a>  <a href="/tags/37/" title="普通" class="c1" target="_blank">普通</a> <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/261/" title="考试" class="c1" target="_blank">考试</a> <a href="/tags/491/" title="学校" class="c1" target="_blank">学校</a> <a href="/tags/982/" title="湖南省" class="c1" target="_blank">湖南省</a>
因为 <a href="/tags/37/" title="普通" class="c1" target="_blank">普通</a> <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/261/" title="考试" class="c1" target="_blank">考试</a> <a href="/tags/491/" title="学校" class="c1" target="_blank">学校</a> <a href="/tags/982/" title="湖南省" class="c1" target="_blank">湖南省</a> 为奇函数,
所以 <a href="/tags/37/" title="普通" class="c1" target="_blank">普通</a> <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/261/" title="考试" class="c1" target="_blank">考试</a> <a href="/tags/491/" title="学校" class="c1" target="_blank">学校</a> <a href="/tags/982/" title="湖南省" class="c1" target="_blank">湖南省</a> ,由 <a href="/tags/37/" title="普通" class="c1" target="_blank">普通</a> <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/261/" title="考试" class="c1" target="_blank">考试</a> <a href="/tags/491/" title="学校" class="c1" target="_blank">学校</a> <a href="/tags/982/" title="湖南省" class="c1" target="_blank">湖南省</a> ,得 <a href="/tags/37/" title="普通" class="c1" target="_blank">普通</a> <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/261/" title="考试" class="c1" target="_blank">考试</a> <a href="/tags/491/" title="学校" class="c1" target="_blank">学校</a> <a href="/tags/982/" title="湖南省" class="c1" target="_blank">湖南省</a>
因为 <a href="/tags/37/" title="普通" class="c1" target="_blank">普通</a> <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/261/" title="考试" class="c1" target="_blank">考试</a> <a href="/tags/491/" title="学校" class="c1" target="_blank">学校</a> <a href="/tags/982/" title="湖南省" class="c1" target="_blank">湖南省</a> ,所以 <a href="/tags/37/" title="普通" class="c1" target="_blank">普通</a> <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/261/" title="考试" class="c1" target="_blank">考试</a> <a href="/tags/491/" title="学校" class="c1" target="_blank">学校</a> <a href="/tags/982/" title="湖南省" class="c1" target="_blank">湖南省</a> .
故答案为:6.

16.1 <a href="/tags/37/" title="普通" class="c1" target="_blank">普通</a> <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/261/" title="考试" class="c1" target="_blank">考试</a> <a href="/tags/491/" title="学校" class="c1" target="_blank">学校</a> <a href="/tags/982/" title="湖南省" class="c1" target="_blank">湖南省</a> ;(2 <a href="/tags/37/" title="普通" class="c1" target="_blank">普通</a> <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/261/" title="考试" class="c1" target="_blank">考试</a> <a href="/tags/491/" title="学校" class="c1" target="_blank">学校</a> <a href="/tags/982/" title="湖南省" class="c1" target="_blank">湖南省</a>

【解析】
1)根据条件求出 <a href="/tags/37/" title="普通" class="c1" target="_blank">普通</a> <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/261/" title="考试" class="c1" target="_blank">考试</a> <a href="/tags/491/" title="学校" class="c1" target="_blank">学校</a> <a href="/tags/982/" title="湖南省" class="c1" target="_blank">湖南省</a> 即可;
2 <a href="/tags/37/" title="普通" class="c1" target="_blank">普通</a> <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/261/" title="考试" class="c1" target="_blank">考试</a> <a href="/tags/491/" title="学校" class="c1" target="_blank">学校</a> <a href="/tags/982/" title="湖南省" class="c1" target="_blank">湖南省</a> ,然后利用等差数列的求和公式求出答案即可.
1 <a href="/tags/37/" title="普通" class="c1" target="_blank">普通</a> <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/261/" title="考试" class="c1" target="_blank">考试</a> <a href="/tags/491/" title="学校" class="c1" target="_blank">学校</a> <a href="/tags/982/" title="湖南省" class="c1" target="_blank">湖南省</a>  <a href="/tags/37/" title="普通" class="c1" target="_blank">普通</a> <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/261/" title="考试" class="c1" target="_blank">考试</a> <a href="/tags/491/" title="学校" class="c1" target="_blank">学校</a> <a href="/tags/982/" title="湖南省" class="c1" target="_blank">湖南省</a>  <a href="/tags/37/" title="普通" class="c1" target="_blank">普通</a> <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/261/" title="考试" class="c1" target="_blank">考试</a> <a href="/tags/491/" title="学校" class="c1" target="_blank">学校</a> <a href="/tags/982/" title="湖南省" class="c1" target="_blank">湖南省</a>
 <a href="/tags/37/" title="普通" class="c1" target="_blank">普通</a> <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/261/" title="考试" class="c1" target="_blank">考试</a> <a href="/tags/491/" title="学校" class="c1" target="_blank">学校</a> <a href="/tags/982/" title="湖南省" class="c1" target="_blank">湖南省</a>
2 <a href="/tags/37/" title="普通" class="c1" target="_blank">普通</a> <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/261/" title="考试" class="c1" target="_blank">考试</a> <a href="/tags/491/" title="学校" class="c1" target="_blank">学校</a> <a href="/tags/982/" title="湖南省" class="c1" target="_blank">湖南省</a>
 <a href="/tags/37/" title="普通" class="c1" target="_blank">普通</a> <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/261/" title="考试" class="c1" target="_blank">考试</a> <a href="/tags/491/" title="学校" class="c1" target="_blank">学校</a> <a href="/tags/982/" title="湖南省" class="c1" target="_blank">湖南省</a>

17.1)分布列见解析;(2 <a href="/tags/37/" title="普通" class="c1" target="_blank">普通</a> <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/261/" title="考试" class="c1" target="_blank">考试</a> <a href="/tags/491/" title="学校" class="c1" target="_blank">学校</a> <a href="/tags/982/" title="湖南省" class="c1" target="_blank">湖南省</a> .

【解析】
1)首先求随机变量 <a href="/tags/37/" title="普通" class="c1" target="_blank">普通</a> <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/261/" title="考试" class="c1" target="_blank">考试</a> <a href="/tags/491/" title="学校" class="c1" target="_blank">学校</a> <a href="/tags/982/" title="湖南省" class="c1" target="_blank">湖南省</a> ,再利用古典概型求概率;
2)根据(1)的结果求概率.
1)由条件可知 <a href="/tags/37/" title="普通" class="c1" target="_blank">普通</a> <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/261/" title="考试" class="c1" target="_blank">考试</a> <a href="/tags/491/" title="学校" class="c1" target="_blank">学校</a> <a href="/tags/982/" title="湖南省" class="c1" target="_blank">湖南省</a>
 <a href="/tags/37/" title="普通" class="c1" target="_blank">普通</a> <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/261/" title="考试" class="c1" target="_blank">考试</a> <a href="/tags/491/" title="学校" class="c1" target="_blank">学校</a> <a href="/tags/982/" title="湖南省" class="c1" target="_blank">湖南省</a>  <a href="/tags/37/" title="普通" class="c1" target="_blank">普通</a> <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/261/" title="考试" class="c1" target="_blank">考试</a> <a href="/tags/491/" title="学校" class="c1" target="_blank">学校</a> <a href="/tags/982/" title="湖南省" class="c1" target="_blank">湖南省</a>  <a href="/tags/37/" title="普通" class="c1" target="_blank">普通</a> <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/261/" title="考试" class="c1" target="_blank">考试</a> <a href="/tags/491/" title="学校" class="c1" target="_blank">学校</a> <a href="/tags/982/" title="湖南省" class="c1" target="_blank">湖南省</a>
所以 <a href="/tags/37/" title="普通" class="c1" target="_blank">普通</a> <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/261/" title="考试" class="c1" target="_blank">考试</a> <a href="/tags/491/" title="学校" class="c1" target="_blank">学校</a> <a href="/tags/982/" title="湖南省" class="c1" target="_blank">湖南省</a> 的分布列,如下表,

 <a href="/tags/37/" title="普通" class="c1" target="_blank">普通</a> <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/261/" title="考试" class="c1" target="_blank">考试</a> <a href="/tags/491/" title="学校" class="c1" target="_blank">学校</a> <a href="/tags/982/" title="湖南省" class="c1" target="_blank">湖南省</a>

 <a href="/tags/37/" title="普通" class="c1" target="_blank">普通</a> <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/261/" title="考试" class="c1" target="_blank">考试</a> <a href="/tags/491/" title="学校" class="c1" target="_blank">学校</a> <a href="/tags/982/" title="湖南省" class="c1" target="_blank">湖南省</a>

 <a href="/tags/37/" title="普通" class="c1" target="_blank">普通</a> <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/261/" title="考试" class="c1" target="_blank">考试</a> <a href="/tags/491/" title="学校" class="c1" target="_blank">学校</a> <a href="/tags/982/" title="湖南省" class="c1" target="_blank">湖南省</a>

 <a href="/tags/37/" title="普通" class="c1" target="_blank">普通</a> <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/261/" title="考试" class="c1" target="_blank">考试</a> <a href="/tags/491/" title="学校" class="c1" target="_blank">学校</a> <a href="/tags/982/" title="湖南省" class="c1" target="_blank">湖南省</a>

 <a href="/tags/37/" title="普通" class="c1" target="_blank">普通</a> <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/261/" title="考试" class="c1" target="_blank">考试</a> <a href="/tags/491/" title="学校" class="c1" target="_blank">学校</a> <a href="/tags/982/" title="湖南省" class="c1" target="_blank">湖南省</a>

 <a href="/tags/37/" title="普通" class="c1" target="_blank">普通</a> <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/261/" title="考试" class="c1" target="_blank">考试</a> <a href="/tags/491/" title="学校" class="c1" target="_blank">学校</a> <a href="/tags/982/" title="湖南省" class="c1" target="_blank">湖南省</a>

 <a href="/tags/37/" title="普通" class="c1" target="_blank">普通</a> <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/261/" title="考试" class="c1" target="_blank">考试</a> <a href="/tags/491/" title="学校" class="c1" target="_blank">学校</a> <a href="/tags/982/" title="湖南省" class="c1" target="_blank">湖南省</a>

 <a href="/tags/37/" title="普通" class="c1" target="_blank">普通</a> <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/261/" title="考试" class="c1" target="_blank">考试</a> <a href="/tags/491/" title="学校" class="c1" target="_blank">学校</a> <a href="/tags/982/" title="湖南省" class="c1" target="_blank">湖南省</a>


2)选取的2个中至少有1个豆沙粽的对立事件是一个都没有,
则选取的2个中至少有1个豆沙粽的概率 <a href="/tags/37/" title="普通" class="c1" target="_blank">普通</a> <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/261/" title="考试" class="c1" target="_blank">考试</a> <a href="/tags/491/" title="学校" class="c1" target="_blank">学校</a> <a href="/tags/982/" title="湖南省" class="c1" target="_blank">湖南省</a> .

18.1)答案见解析;(2 <a href="/tags/37/" title="普通" class="c1" target="_blank">普通</a> <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/261/" title="考试" class="c1" target="_blank">考试</a> <a href="/tags/491/" title="学校" class="c1" target="_blank">学校</a> <a href="/tags/982/" title="湖南省" class="c1" target="_blank">湖南省</a>

【解析】
1)根据指数函数的图象特点作出 <a href="/tags/37/" title="普通" class="c1" target="_blank">普通</a> <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/261/" title="考试" class="c1" target="_blank">考试</a> <a href="/tags/491/" title="学校" class="c1" target="_blank">学校</a> <a href="/tags/982/" title="湖南省" class="c1" target="_blank">湖南省</a> 的图象,再根据一次函数的特点作出 <a href="/tags/37/" title="普通" class="c1" target="_blank">普通</a> <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/261/" title="考试" class="c1" target="_blank">考试</a> <a href="/tags/491/" title="学校" class="c1" target="_blank">学校</a> <a href="/tags/982/" title="湖南省" class="c1" target="_blank">湖南省</a> 的图象即可;
2)当 <a href="/tags/37/" title="普通" class="c1" target="_blank">普通</a> <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/261/" title="考试" class="c1" target="_blank">考试</a> <a href="/tags/491/" title="学校" class="c1" target="_blank">学校</a> <a href="/tags/982/" title="湖南省" class="c1" target="_blank">湖南省</a> 时,解不等式 <a href="/tags/37/" title="普通" class="c1" target="_blank">普通</a> <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/261/" title="考试" class="c1" target="_blank">考试</a> <a href="/tags/491/" title="学校" class="c1" target="_blank">学校</a> <a href="/tags/982/" title="湖南省" class="c1" target="_blank">湖南省</a> ,当 <a href="/tags/37/" title="普通" class="c1" target="_blank">普通</a> <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/261/" title="考试" class="c1" target="_blank">考试</a> <a href="/tags/491/" title="学校" class="c1" target="_blank">学校</a> <a href="/tags/982/" title="湖南省" class="c1" target="_blank">湖南省</a> ,解不等式 <a href="/tags/37/" title="普通" class="c1" target="_blank">普通</a> <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/261/" title="考试" class="c1" target="_blank">考试</a> <a href="/tags/491/" title="学校" class="c1" target="_blank">学校</a> <a href="/tags/982/" title="湖南省" class="c1" target="_blank">湖南省</a> 即可求解.
1)函数 <a href="/tags/37/" title="普通" class="c1" target="_blank">普通</a> <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/261/" title="考试" class="c1" target="_blank">考试</a> <a href="/tags/491/" title="学校" class="c1" target="_blank">学校</a> <a href="/tags/982/" title="湖南省" class="c1" target="_blank">湖南省</a> 的图象如图所示:
 <a href="/tags/37/" title="普通" class="c1" target="_blank">普通</a> <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/261/" title="考试" class="c1" target="_blank">考试</a> <a href="/tags/491/" title="学校" class="c1" target="_blank">学校</a> <a href="/tags/982/" title="湖南省" class="c1" target="_blank">湖南省</a>
2 <a href="/tags/37/" title="普通" class="c1" target="_blank">普通</a> <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/261/" title="考试" class="c1" target="_blank">考试</a> <a href="/tags/491/" title="学校" class="c1" target="_blank">学校</a> <a href="/tags/982/" title="湖南省" class="c1" target="_blank">湖南省</a>
 <a href="/tags/37/" title="普通" class="c1" target="_blank">普通</a> <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/261/" title="考试" class="c1" target="_blank">考试</a> <a href="/tags/491/" title="学校" class="c1" target="_blank">学校</a> <a href="/tags/982/" title="湖南省" class="c1" target="_blank">湖南省</a> 时,  <a href="/tags/37/" title="普通" class="c1" target="_blank">普通</a> <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/261/" title="考试" class="c1" target="_blank">考试</a> <a href="/tags/491/" title="学校" class="c1" target="_blank">学校</a> <a href="/tags/982/" title="湖南省" class="c1" target="_blank">湖南省</a> ,可得: <a href="/tags/37/" title="普通" class="c1" target="_blank">普通</a> <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/261/" title="考试" class="c1" target="_blank">考试</a> <a href="/tags/491/" title="学校" class="c1" target="_blank">学校</a> <a href="/tags/982/" title="湖南省" class="c1" target="_blank">湖南省</a>
 <a href="/tags/37/" title="普通" class="c1" target="_blank">普通</a> <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/261/" title="考试" class="c1" target="_blank">考试</a> <a href="/tags/491/" title="学校" class="c1" target="_blank">学校</a> <a href="/tags/982/" title="湖南省" class="c1" target="_blank">湖南省</a>  <a href="/tags/37/" title="普通" class="c1" target="_blank">普通</a> <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/261/" title="考试" class="c1" target="_blank">考试</a> <a href="/tags/491/" title="学校" class="c1" target="_blank">学校</a> <a href="/tags/982/" title="湖南省" class="c1" target="_blank">湖南省</a> ,可得: <a href="/tags/37/" title="普通" class="c1" target="_blank">普通</a> <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/261/" title="考试" class="c1" target="_blank">考试</a> <a href="/tags/491/" title="学校" class="c1" target="_blank">学校</a> <a href="/tags/982/" title="湖南省" class="c1" target="_blank">湖南省</a>
所以 <a href="/tags/37/" title="普通" class="c1" target="_blank">普通</a> <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/261/" title="考试" class="c1" target="_blank">考试</a> <a href="/tags/491/" title="学校" class="c1" target="_blank">学校</a> <a href="/tags/982/" title="湖南省" class="c1" target="_blank">湖南省</a> 的解集为: <a href="/tags/37/" title="普通" class="c1" target="_blank">普通</a> <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/261/" title="考试" class="c1" target="_blank">考试</a> <a href="/tags/491/" title="学校" class="c1" target="_blank">学校</a> <a href="/tags/982/" title="湖南省" class="c1" target="_blank">湖南省</a>
所以 <a href="/tags/37/" title="普通" class="c1" target="_blank">普通</a> <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/261/" title="考试" class="c1" target="_blank">考试</a> <a href="/tags/491/" title="学校" class="c1" target="_blank">学校</a> <a href="/tags/982/" title="湖南省" class="c1" target="_blank">湖南省</a> 的取值范围为 <a href="/tags/37/" title="普通" class="c1" target="_blank">普通</a> <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/261/" title="考试" class="c1" target="_blank">考试</a> <a href="/tags/491/" title="学校" class="c1" target="_blank">学校</a> <a href="/tags/982/" title="湖南省" class="c1" target="_blank">湖南省</a> .

19.1)证明见解析;(2 <a href="/tags/37/" title="普通" class="c1" target="_blank">普通</a> <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/261/" title="考试" class="c1" target="_blank">考试</a> <a href="/tags/491/" title="学校" class="c1" target="_blank">学校</a> <a href="/tags/982/" title="湖南省" class="c1" target="_blank">湖南省</a> .

【解析】
(1)
连接 <a href="/tags/37/" title="普通" class="c1" target="_blank">普通</a> <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/261/" title="考试" class="c1" target="_blank">考试</a> <a href="/tags/491/" title="学校" class="c1" target="_blank">学校</a> <a href="/tags/982/" title="湖南省" class="c1" target="_blank">湖南省</a>  <a href="/tags/37/" title="普通" class="c1" target="_blank">普通</a> <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/261/" title="考试" class="c1" target="_blank">考试</a> <a href="/tags/491/" title="学校" class="c1" target="_blank">学校</a> <a href="/tags/982/" title="湖南省" class="c1" target="_blank">湖南省</a> 于点 <a href="/tags/37/" title="普通" class="c1" target="_blank">普通</a> <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/261/" title="考试" class="c1" target="_blank">考试</a> <a href="/tags/491/" title="学校" class="c1" target="_blank">学校</a> <a href="/tags/982/" title="湖南省" class="c1" target="_blank">湖南省</a> ,连接 <a href="/tags/37/" title="普通" class="c1" target="_blank">普通</a> <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/261/" title="考试" class="c1" target="_blank">考试</a> <a href="/tags/491/" title="学校" class="c1" target="_blank">学校</a> <a href="/tags/982/" title="湖南省" class="c1" target="_blank">湖南省</a> ,由三角形的中位线定理可知 <a href="/tags/37/" title="普通" class="c1" target="_blank">普通</a> <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/261/" title="考试" class="c1" target="_blank">考试</a> <a href="/tags/491/" title="学校" class="c1" target="_blank">学校</a> <a href="/tags/982/" title="湖南省" class="c1" target="_blank">湖南省</a> ,结合线面平行的判定定理可证明 <a href="/tags/37/" title="普通" class="c1" target="_blank">普通</a> <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/261/" title="考试" class="c1" target="_blank">考试</a> <a href="/tags/491/" title="学校" class="c1" target="_blank">学校</a> <a href="/tags/982/" title="湖南省" class="c1" target="_blank">湖南省</a> 平面 <a href="/tags/37/" title="普通" class="c1" target="_blank">普通</a> <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/261/" title="考试" class="c1" target="_blank">考试</a> <a href="/tags/491/" title="学校" class="c1" target="_blank">学校</a> <a href="/tags/982/" title="湖南省" class="c1" target="_blank">湖南省</a> .
(2)
由题意可知 <a href="/tags/37/" title="普通" class="c1" target="_blank">普通</a> <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/261/" title="考试" class="c1" target="_blank">考试</a> <a href="/tags/491/" title="学校" class="c1" target="_blank">学校</a> <a href="/tags/982/" title="湖南省" class="c1" target="_blank">湖南省</a> ,再运用锥体体积公式可求得四棱锥的体积.
1)连接 <a href="/tags/37/" title="普通" class="c1" target="_blank">普通</a> <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/261/" title="考试" class="c1" target="_blank">考试</a> <a href="/tags/491/" title="学校" class="c1" target="_blank">学校</a> <a href="/tags/982/" title="湖南省" class="c1" target="_blank">湖南省</a>  <a href="/tags/37/" title="普通" class="c1" target="_blank">普通</a> <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/261/" title="考试" class="c1" target="_blank">考试</a> <a href="/tags/491/" title="学校" class="c1" target="_blank">学校</a> <a href="/tags/982/" title="湖南省" class="c1" target="_blank">湖南省</a> 于点 <a href="/tags/37/" title="普通" class="c1" target="_blank">普通</a> <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/261/" title="考试" class="c1" target="_blank">考试</a> <a href="/tags/491/" title="学校" class="c1" target="_blank">学校</a> <a href="/tags/982/" title="湖南省" class="c1" target="_blank">湖南省</a> ,连接 <a href="/tags/37/" title="普通" class="c1" target="_blank">普通</a> <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/261/" title="考试" class="c1" target="_blank">考试</a> <a href="/tags/491/" title="学校" class="c1" target="_blank">学校</a> <a href="/tags/982/" title="湖南省" class="c1" target="_blank">湖南省</a> .  <a href="/tags/37/" title="普通" class="c1" target="_blank">普通</a> <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/261/" title="考试" class="c1" target="_blank">考试</a> <a href="/tags/491/" title="学校" class="c1" target="_blank">学校</a> <a href="/tags/982/" title="湖南省" class="c1" target="_blank">湖南省</a> 中,因为 <a href="/tags/37/" title="普通" class="c1" target="_blank">普通</a> <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/261/" title="考试" class="c1" target="_blank">考试</a> <a href="/tags/491/" title="学校" class="c1" target="_blank">学校</a> <a href="/tags/982/" title="湖南省" class="c1" target="_blank">湖南省</a>
所以 <a href="/tags/37/" title="普通" class="c1" target="_blank">普通</a> <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/261/" title="考试" class="c1" target="_blank">考试</a> <a href="/tags/491/" title="学校" class="c1" target="_blank">学校</a> <a href="/tags/982/" title="湖南省" class="c1" target="_blank">湖南省</a> ,因为 <a href="/tags/37/" title="普通" class="c1" target="_blank">普通</a> <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/261/" title="考试" class="c1" target="_blank">考试</a> <a href="/tags/491/" title="学校" class="c1" target="_blank">学校</a> <a href="/tags/982/" title="湖南省" class="c1" target="_blank">湖南省</a> 平面 <a href="/tags/37/" title="普通" class="c1" target="_blank">普通</a> <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/261/" title="考试" class="c1" target="_blank">考试</a> <a href="/tags/491/" title="学校" class="c1" target="_blank">学校</a> <a href="/tags/982/" title="湖南省" class="c1" target="_blank">湖南省</a>  <a href="/tags/37/" title="普通" class="c1" target="_blank">普通</a> <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/261/" title="考试" class="c1" target="_blank">考试</a> <a href="/tags/491/" title="学校" class="c1" target="_blank">学校</a> <a href="/tags/982/" title="湖南省" class="c1" target="_blank">湖南省</a> 平面 <a href="/tags/37/" title="普通" class="c1" target="_blank">普通</a> <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/261/" title="考试" class="c1" target="_blank">考试</a> <a href="/tags/491/" title="学校" class="c1" target="_blank">学校</a> <a href="/tags/982/" title="湖南省" class="c1" target="_blank">湖南省</a> ,则 <a href="/tags/37/" title="普通" class="c1" target="_blank">普通</a> <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/261/" title="考试" class="c1" target="_blank">考试</a> <a href="/tags/491/" title="学校" class="c1" target="_blank">学校</a> <a href="/tags/982/" title="湖南省" class="c1" target="_blank">湖南省</a> 平面 <a href="/tags/37/" title="普通" class="c1" target="_blank">普通</a> <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/261/" title="考试" class="c1" target="_blank">考试</a> <a href="/tags/491/" title="学校" class="c1" target="_blank">学校</a> <a href="/tags/982/" title="湖南省" class="c1" target="_blank">湖南省</a> .
2)因为 <a href="/tags/37/" title="普通" class="c1" target="_blank">普通</a> <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/261/" title="考试" class="c1" target="_blank">考试</a> <a href="/tags/491/" title="学校" class="c1" target="_blank">学校</a> <a href="/tags/982/" title="湖南省" class="c1" target="_blank">湖南省</a> 平面ABCD,所以 <a href="/tags/37/" title="普通" class="c1" target="_blank">普通</a> <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/261/" title="考试" class="c1" target="_blank">考试</a> <a href="/tags/491/" title="学校" class="c1" target="_blank">学校</a> <a href="/tags/982/" title="湖南省" class="c1" target="_blank">湖南省</a> 就是直线PB与平面ABCD所成的角,所以 <a href="/tags/37/" title="普通" class="c1" target="_blank">普通</a> <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/261/" title="考试" class="c1" target="_blank">考试</a> <a href="/tags/491/" title="学校" class="c1" target="_blank">学校</a> <a href="/tags/982/" title="湖南省" class="c1" target="_blank">湖南省</a>
 <a href="/tags/37/" title="普通" class="c1" target="_blank">普通</a> <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/261/" title="考试" class="c1" target="_blank">考试</a> <a href="/tags/491/" title="学校" class="c1" target="_blank">学校</a> <a href="/tags/982/" title="湖南省" class="c1" target="_blank">湖南省</a>  <a href="/tags/37/" title="普通" class="c1" target="_blank">普通</a> <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/261/" title="考试" class="c1" target="_blank">考试</a> <a href="/tags/491/" title="学校" class="c1" target="_blank">学校</a> <a href="/tags/982/" title="湖南省" class="c1" target="_blank">湖南省</a> ,所以 <a href="/tags/37/" title="普通" class="c1" target="_blank">普通</a> <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/261/" title="考试" class="c1" target="_blank">考试</a> <a href="/tags/491/" title="学校" class="c1" target="_blank">学校</a> <a href="/tags/982/" title="湖南省" class="c1" target="_blank">湖南省</a>
所以四棱 <a href="/tags/37/" title="普通" class="c1" target="_blank">普通</a> <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/261/" title="考试" class="c1" target="_blank">考试</a> <a href="/tags/491/" title="学校" class="c1" target="_blank">学校</a> <a href="/tags/982/" title="湖南省" class="c1" target="_blank">湖南省</a> 的体 <a href="/tags/37/" title="普通" class="c1" target="_blank">普通</a> <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/261/" title="考试" class="c1" target="_blank">考试</a> <a href="/tags/491/" title="学校" class="c1" target="_blank">学校</a> <a href="/tags/982/" title="湖南省" class="c1" target="_blank">湖南省</a>
所以四棱 <a href="/tags/37/" title="普通" class="c1" target="_blank">普通</a> <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/261/" title="考试" class="c1" target="_blank">考试</a> <a href="/tags/491/" title="学校" class="c1" target="_blank">学校</a> <a href="/tags/982/" title="湖南省" class="c1" target="_blank">湖南省</a> 的体积为 <a href="/tags/37/" title="普通" class="c1" target="_blank">普通</a> <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/261/" title="考试" class="c1" target="_blank">考试</a> <a href="/tags/491/" title="学校" class="c1" target="_blank">学校</a> <a href="/tags/982/" title="湖南省" class="c1" target="_blank">湖南省</a> .
 <a href="/tags/37/" title="普通" class="c1" target="_blank">普通</a> <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/261/" title="考试" class="c1" target="_blank">考试</a> <a href="/tags/491/" title="学校" class="c1" target="_blank">学校</a> <a href="/tags/982/" title="湖南省" class="c1" target="_blank">湖南省</a>

20.1 <a href="/tags/37/" title="普通" class="c1" target="_blank">普通</a> <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/261/" title="考试" class="c1" target="_blank">考试</a> <a href="/tags/491/" title="学校" class="c1" target="_blank">学校</a> <a href="/tags/982/" title="湖南省" class="c1" target="_blank">湖南省</a> ;(2 <a href="/tags/37/" title="普通" class="c1" target="_blank">普通</a> <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/261/" title="考试" class="c1" target="_blank">考试</a> <a href="/tags/491/" title="学校" class="c1" target="_blank">学校</a> <a href="/tags/982/" title="湖南省" class="c1" target="_blank">湖南省</a> .

【解析】
1)根据题意得 <a href="/tags/37/" title="普通" class="c1" target="_blank">普通</a> <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/261/" title="考试" class="c1" target="_blank">考试</a> <a href="/tags/491/" title="学校" class="c1" target="_blank">学校</a> <a href="/tags/982/" title="湖南省" class="c1" target="_blank">湖南省</a>  <a href="/tags/37/" title="普通" class="c1" target="_blank">普通</a> <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/261/" title="考试" class="c1" target="_blank">考试</a> <a href="/tags/491/" title="学校" class="c1" target="_blank">学校</a> <a href="/tags/982/" title="湖南省" class="c1" target="_blank">湖南省</a> ,再结合 <a href="/tags/37/" title="普通" class="c1" target="_blank">普通</a> <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/261/" title="考试" class="c1" target="_blank">考试</a> <a href="/tags/491/" title="学校" class="c1" target="_blank">学校</a> <a href="/tags/982/" title="湖南省" class="c1" target="_blank">湖南省</a> 即可求得答案;
2)联立直线、椭圆方程可得 <a href="/tags/37/" title="普通" class="c1" target="_blank">普通</a> <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/261/" title="考试" class="c1" target="_blank">考试</a> <a href="/tags/491/" title="学校" class="c1" target="_blank">学校</a> <a href="/tags/982/" title="湖南省" class="c1" target="_blank">湖南省</a> 两点坐标,由向量的数量积坐标运算公式可得答案.
1)椭圆 <a href="/tags/37/" title="普通" class="c1" target="_blank">普通</a> <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/261/" title="考试" class="c1" target="_blank">考试</a> <a href="/tags/491/" title="学校" class="c1" target="_blank">学校</a> <a href="/tags/982/" title="湖南省" class="c1" target="_blank">湖南省</a> 经过点 <a href="/tags/37/" title="普通" class="c1" target="_blank">普通</a> <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/261/" title="考试" class="c1" target="_blank">考试</a> <a href="/tags/491/" title="学校" class="c1" target="_blank">学校</a> <a href="/tags/982/" title="湖南省" class="c1" target="_blank">湖南省</a> ,所以 <a href="/tags/37/" title="普通" class="c1" target="_blank">普通</a> <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/261/" title="考试" class="c1" target="_blank">考试</a> <a href="/tags/491/" title="学校" class="c1" target="_blank">学校</a> <a href="/tags/982/" title="湖南省" class="c1" target="_blank">湖南省</a>
因为离心率为 <a href="/tags/37/" title="普通" class="c1" target="_blank">普通</a> <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/261/" title="考试" class="c1" target="_blank">考试</a> <a href="/tags/491/" title="学校" class="c1" target="_blank">学校</a> <a href="/tags/982/" title="湖南省" class="c1" target="_blank">湖南省</a> ,所以 <a href="/tags/37/" title="普通" class="c1" target="_blank">普通</a> <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/261/" title="考试" class="c1" target="_blank">考试</a> <a href="/tags/491/" title="学校" class="c1" target="_blank">学校</a> <a href="/tags/982/" title="湖南省" class="c1" target="_blank">湖南省</a> ,所以 <a href="/tags/37/" title="普通" class="c1" target="_blank">普通</a> <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/261/" title="考试" class="c1" target="_blank">考试</a> <a href="/tags/491/" title="学校" class="c1" target="_blank">学校</a> <a href="/tags/982/" title="湖南省" class="c1" target="_blank">湖南省</a>
所以椭圆 <a href="/tags/37/" title="普通" class="c1" target="_blank">普通</a> <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/261/" title="考试" class="c1" target="_blank">考试</a> <a href="/tags/491/" title="学校" class="c1" target="_blank">学校</a> <a href="/tags/982/" title="湖南省" class="c1" target="_blank">湖南省</a> 的方程为 <a href="/tags/37/" title="普通" class="c1" target="_blank">普通</a> <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/261/" title="考试" class="c1" target="_blank">考试</a> <a href="/tags/491/" title="学校" class="c1" target="_blank">学校</a> <a href="/tags/982/" title="湖南省" class="c1" target="_blank">湖南省</a> .
2)由 <a href="/tags/37/" title="普通" class="c1" target="_blank">普通</a> <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/261/" title="考试" class="c1" target="_blank">考试</a> <a href="/tags/491/" title="学校" class="c1" target="_blank">学校</a> <a href="/tags/982/" title="湖南省" class="c1" target="_blank">湖南省</a>  <a href="/tags/37/" title="普通" class="c1" target="_blank">普通</a> <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/261/" title="考试" class="c1" target="_blank">考试</a> <a href="/tags/491/" title="学校" class="c1" target="_blank">学校</a> <a href="/tags/982/" title="湖南省" class="c1" target="_blank">湖南省</a> ,解得 <a href="/tags/37/" title="普通" class="c1" target="_blank">普通</a> <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/261/" title="考试" class="c1" target="_blank">考试</a> <a href="/tags/491/" title="学校" class="c1" target="_blank">学校</a> <a href="/tags/982/" title="湖南省" class="c1" target="_blank">湖南省</a>
所以 <a href="/tags/37/" title="普通" class="c1" target="_blank">普通</a> <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/261/" title="考试" class="c1" target="_blank">考试</a> <a href="/tags/491/" title="学校" class="c1" target="_blank">学校</a> <a href="/tags/982/" title="湖南省" class="c1" target="_blank">湖南省</a> ,或 <a href="/tags/37/" title="普通" class="c1" target="_blank">普通</a> <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/261/" title="考试" class="c1" target="_blank">考试</a> <a href="/tags/491/" title="学校" class="c1" target="_blank">学校</a> <a href="/tags/982/" title="湖南省" class="c1" target="_blank">湖南省</a>
可得 <a href="/tags/37/" title="普通" class="c1" target="_blank">普通</a> <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/261/" title="考试" class="c1" target="_blank">考试</a> <a href="/tags/491/" title="学校" class="c1" target="_blank">学校</a> <a href="/tags/982/" title="湖南省" class="c1" target="_blank">湖南省</a>  <a href="/tags/37/" title="普通" class="c1" target="_blank">普通</a> <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/261/" title="考试" class="c1" target="_blank">考试</a> <a href="/tags/491/" title="学校" class="c1" target="_blank">学校</a> <a href="/tags/982/" title="湖南省" class="c1" target="_blank">湖南省</a> ,或者 <a href="/tags/37/" title="普通" class="c1" target="_blank">普通</a> <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/261/" title="考试" class="c1" target="_blank">考试</a> <a href="/tags/491/" title="学校" class="c1" target="_blank">学校</a> <a href="/tags/982/" title="湖南省" class="c1" target="_blank">湖南省</a>  <a href="/tags/37/" title="普通" class="c1" target="_blank">普通</a> <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/261/" title="考试" class="c1" target="_blank">考试</a> <a href="/tags/491/" title="学校" class="c1" target="_blank">学校</a> <a href="/tags/982/" title="湖南省" class="c1" target="_blank">湖南省</a>
所以 <a href="/tags/37/" title="普通" class="c1" target="_blank">普通</a> <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/261/" title="考试" class="c1" target="_blank">考试</a> <a href="/tags/491/" title="学校" class="c1" target="_blank">学校</a> <a href="/tags/982/" title="湖南省" class="c1" target="_blank">湖南省</a> .

21.1 <a href="/tags/37/" title="普通" class="c1" target="_blank">普通</a> <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/261/" title="考试" class="c1" target="_blank">考试</a> <a href="/tags/491/" title="学校" class="c1" target="_blank">学校</a> <a href="/tags/982/" title="湖南省" class="c1" target="_blank">湖南省</a> 2 <a href="/tags/37/" title="普通" class="c1" target="_blank">普通</a> <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/261/" title="考试" class="c1" target="_blank">考试</a> <a href="/tags/491/" title="学校" class="c1" target="_blank">学校</a> <a href="/tags/982/" title="湖南省" class="c1" target="_blank">湖南省</a>

【解析】
1)由已知利用余弦定理直接求解.
2)利用 <a href="/tags/37/" title="普通" class="c1" target="_blank">普通</a> <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/261/" title="考试" class="c1" target="_blank">考试</a> <a href="/tags/491/" title="学校" class="c1" target="_blank">学校</a> <a href="/tags/982/" title="湖南省" class="c1" target="_blank">湖南省</a> ,结合两角差的正弦公式即可得解.
1 <a href="/tags/37/" title="普通" class="c1" target="_blank">普通</a> <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/261/" title="考试" class="c1" target="_blank">考试</a> <a href="/tags/491/" title="学校" class="c1" target="_blank">学校</a> <a href="/tags/982/" title="湖南省" class="c1" target="_blank">湖南省</a>  <a href="/tags/37/" title="普通" class="c1" target="_blank">普通</a> <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/261/" title="考试" class="c1" target="_blank">考试</a> <a href="/tags/491/" title="学校" class="c1" target="_blank">学校</a> <a href="/tags/982/" title="湖南省" class="c1" target="_blank">湖南省</a>  <a href="/tags/37/" title="普通" class="c1" target="_blank">普通</a> <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/261/" title="考试" class="c1" target="_blank">考试</a> <a href="/tags/491/" title="学校" class="c1" target="_blank">学校</a> <a href="/tags/982/" title="湖南省" class="c1" target="_blank">湖南省</a>  <a href="/tags/37/" title="普通" class="c1" target="_blank">普通</a> <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/261/" title="考试" class="c1" target="_blank">考试</a> <a href="/tags/491/" title="学校" class="c1" target="_blank">学校</a> <a href="/tags/982/" title="湖南省" class="c1" target="_blank">湖南省</a>
 <a href="/tags/37/" title="普通" class="c1" target="_blank">普通</a> <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/261/" title="考试" class="c1" target="_blank">考试</a> <a href="/tags/491/" title="学校" class="c1" target="_blank">学校</a> <a href="/tags/982/" title="湖南省" class="c1" target="_blank">湖南省</a>  <a href="/tags/37/" title="普通" class="c1" target="_blank">普通</a> <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/261/" title="考试" class="c1" target="_blank">考试</a> <a href="/tags/491/" title="学校" class="c1" target="_blank">学校</a> <a href="/tags/982/" title="湖南省" class="c1" target="_blank">湖南省</a> 中,由余弦定理得 <a href="/tags/37/" title="普通" class="c1" target="_blank">普通</a> <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/261/" title="考试" class="c1" target="_blank">考试</a> <a href="/tags/491/" title="学校" class="c1" target="_blank">学校</a> <a href="/tags/982/" title="湖南省" class="c1" target="_blank">湖南省</a>  <a href="/tags/37/" title="普通" class="c1" target="_blank">普通</a> <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/261/" title="考试" class="c1" target="_blank">考试</a> <a href="/tags/491/" title="学校" class="c1" target="_blank">学校</a> <a href="/tags/982/" title="湖南省" class="c1" target="_blank">湖南省</a>
2 <a href="/tags/37/" title="普通" class="c1" target="_blank">普通</a> <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/261/" title="考试" class="c1" target="_blank">考试</a> <a href="/tags/491/" title="学校" class="c1" target="_blank">学校</a> <a href="/tags/982/" title="湖南省" class="c1" target="_blank">湖南省</a> ,所以 <a href="/tags/37/" title="普通" class="c1" target="_blank">普通</a> <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/261/" title="考试" class="c1" target="_blank">考试</a> <a href="/tags/491/" title="学校" class="c1" target="_blank">学校</a> <a href="/tags/982/" title="湖南省" class="c1" target="_blank">湖南省</a> ,又由题意可得 <a href="/tags/37/" title="普通" class="c1" target="_blank">普通</a> <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/261/" title="考试" class="c1" target="_blank">考试</a> <a href="/tags/491/" title="学校" class="c1" target="_blank">学校</a> <a href="/tags/982/" title="湖南省" class="c1" target="_blank">湖南省</a>  <a href="/tags/37/" title="普通" class="c1" target="_blank">普通</a> <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/261/" title="考试" class="c1" target="_blank">考试</a> <a href="/tags/491/" title="学校" class="c1" target="_blank">学校</a> <a href="/tags/982/" title="湖南省" class="c1" target="_blank">湖南省</a>
 <a href="/tags/37/" title="普通" class="c1" target="_blank">普通</a> <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/261/" title="考试" class="c1" target="_blank">考试</a> <a href="/tags/491/" title="学校" class="c1" target="_blank">学校</a> <a href="/tags/982/" title="湖南省" class="c1" target="_blank">湖南省</a>

22.AB别为 <a href="/tags/37/" title="普通" class="c1" target="_blank">普通</a> <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/261/" title="考试" class="c1" target="_blank">考试</a> <a href="/tags/491/" title="学校" class="c1" target="_blank">学校</a> <a href="/tags/982/" title="湖南省" class="c1" target="_blank">湖南省</a>  <a href="/tags/37/" title="普通" class="c1" target="_blank">普通</a> <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/261/" title="考试" class="c1" target="_blank">考试</a> <a href="/tags/491/" title="学校" class="c1" target="_blank">学校</a> <a href="/tags/982/" title="湖南省" class="c1" target="_blank">湖南省</a> 辆时,租金最少,租金的最小 <a href="/tags/37/" title="普通" class="c1" target="_blank">普通</a> <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/261/" title="考试" class="c1" target="_blank">考试</a> <a href="/tags/491/" title="学校" class="c1" target="_blank">学校</a> <a href="/tags/982/" title="湖南省" class="c1" target="_blank">湖南省</a> .

【解析】
首先AB别为 <a href="/tags/37/" title="普通" class="c1" target="_blank">普通</a> <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/261/" title="考试" class="c1" target="_blank">考试</a> <a href="/tags/491/" title="学校" class="c1" target="_blank">学校</a> <a href="/tags/982/" title="湖南省" class="c1" target="_blank">湖南省</a> ,根据条件列出目函数和束条件,数形合即可解决.
AB别为 <a href="/tags/37/" title="普通" class="c1" target="_blank">普通</a> <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/261/" title="考试" class="c1" target="_blank">考试</a> <a href="/tags/491/" title="学校" class="c1" target="_blank">学校</a> <a href="/tags/982/" title="湖南省" class="c1" target="_blank">湖南省</a> 租金 <a href="/tags/37/" title="普通" class="c1" target="_blank">普通</a> <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/261/" title="考试" class="c1" target="_blank">考试</a> <a href="/tags/491/" title="学校" class="c1" target="_blank">学校</a> <a href="/tags/982/" title="湖南省" class="c1" target="_blank">湖南省</a> ,依意, <a href="/tags/37/" title="普通" class="c1" target="_blank">普通</a> <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/261/" title="考试" class="c1" target="_blank">考试</a> <a href="/tags/491/" title="学校" class="c1" target="_blank">学校</a> <a href="/tags/982/" title="湖南省" class="c1" target="_blank">湖南省</a>  <a href="/tags/37/" title="普通" class="c1" target="_blank">普通</a> <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/261/" title="考试" class="c1" target="_blank">考试</a> <a href="/tags/491/" title="学校" class="c1" target="_blank">学校</a> <a href="/tags/982/" title="湖南省" class="c1" target="_blank">湖南省</a> ,即 <a href="/tags/37/" title="普通" class="c1" target="_blank">普通</a> <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/261/" title="考试" class="c1" target="_blank">考试</a> <a href="/tags/491/" title="学校" class="c1" target="_blank">学校</a> <a href="/tags/982/" title="湖南省" class="c1" target="_blank">湖南省</a> ,,作出可行域,
 <a href="/tags/37/" title="普通" class="c1" target="_blank">普通</a> <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/261/" title="考试" class="c1" target="_blank">考试</a> <a href="/tags/491/" title="学校" class="c1" target="_blank">学校</a> <a href="/tags/982/" title="湖南省" class="c1" target="_blank">湖南省</a> ,目函数 <a href="/tags/37/" title="普通" class="c1" target="_blank">普通</a> <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/261/" title="考试" class="c1" target="_blank">考试</a> <a href="/tags/491/" title="学校" class="c1" target="_blank">学校</a> <a href="/tags/982/" title="湖南省" class="c1" target="_blank">湖南省</a> ,即 <a href="/tags/37/" title="普通" class="c1" target="_blank">普通</a> <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/261/" title="考试" class="c1" target="_blank">考试</a> <a href="/tags/491/" title="学校" class="c1" target="_blank">学校</a> <a href="/tags/982/" title="湖南省" class="c1" target="_blank">湖南省</a> ,当直线平移至点 <a href="/tags/37/" title="普通" class="c1" target="_blank">普通</a> <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/261/" title="考试" class="c1" target="_blank">考试</a> <a href="/tags/491/" title="学校" class="c1" target="_blank">学校</a> <a href="/tags/982/" title="湖南省" class="c1" target="_blank">湖南省</a> ,目函数取得最小
 <a href="/tags/37/" title="普通" class="c1" target="_blank">普通</a> <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/261/" title="考试" class="c1" target="_blank">考试</a> <a href="/tags/491/" title="学校" class="c1" target="_blank">学校</a> <a href="/tags/982/" title="湖南省" class="c1" target="_blank">湖南省</a> ,解得: <a href="/tags/37/" title="普通" class="c1" target="_blank">普通</a> <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/261/" title="考试" class="c1" target="_blank">考试</a> <a href="/tags/491/" title="学校" class="c1" target="_blank">学校</a> <a href="/tags/982/" title="湖南省" class="c1" target="_blank">湖南省</a>  <a href="/tags/37/" title="普通" class="c1" target="_blank">普通</a> <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/261/" title="考试" class="c1" target="_blank">考试</a> <a href="/tags/491/" title="学校" class="c1" target="_blank">学校</a> <a href="/tags/982/" title="湖南省" class="c1" target="_blank">湖南省</a> ,此 <a href="/tags/37/" title="普通" class="c1" target="_blank">普通</a> <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/261/" title="考试" class="c1" target="_blank">考试</a> <a href="/tags/491/" title="学校" class="c1" target="_blank">学校</a> <a href="/tags/982/" title="湖南省" class="c1" target="_blank">湖南省</a> .
所以AB别为 <a href="/tags/37/" title="普通" class="c1" target="_blank">普通</a> <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/261/" title="考试" class="c1" target="_blank">考试</a> <a href="/tags/491/" title="学校" class="c1" target="_blank">学校</a> <a href="/tags/982/" title="湖南省" class="c1" target="_blank">湖南省</a>  <a href="/tags/37/" title="普通" class="c1" target="_blank">普通</a> <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/261/" title="考试" class="c1" target="_blank">考试</a> <a href="/tags/491/" title="学校" class="c1" target="_blank">学校</a> <a href="/tags/982/" title="湖南省" class="c1" target="_blank">湖南省</a> 辆时,租金最少,租金的最小 <a href="/tags/37/" title="普通" class="c1" target="_blank">普通</a> <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/261/" title="考试" class="c1" target="_blank">考试</a> <a href="/tags/491/" title="学校" class="c1" target="_blank">学校</a> <a href="/tags/982/" title="湖南省" class="c1" target="_blank">湖南省</a> .
 <a href="/tags/37/" title="普通" class="c1" target="_blank">普通</a> <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/261/" title="考试" class="c1" target="_blank">考试</a> <a href="/tags/491/" title="学校" class="c1" target="_blank">学校</a> <a href="/tags/982/" title="湖南省" class="c1" target="_blank">湖南省</a>


Shape4 3页,总1

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