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【334320】2021年浙江省高考数学试卷

时间:2025-01-21 18:00:05 作者: 字数:14121字
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Shape2

绝密·启用前

2021年浙江省高考数学试卷

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.设集合 <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1007/" title="浙江省" class="c1" target="_blank">浙江省</a> <a href="/tags/1185/" title="浙江" class="c1" target="_blank">浙江</a>  <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1007/" title="浙江省" class="c1" target="_blank">浙江省</a> <a href="/tags/1185/" title="浙江" class="c1" target="_blank">浙江</a> ,则 <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1007/" title="浙江省" class="c1" target="_blank">浙江省</a> <a href="/tags/1185/" title="浙江" class="c1" target="_blank">浙江</a> ( )
A
 <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1007/" title="浙江省" class="c1" target="_blank">浙江省</a> <a href="/tags/1185/" title="浙江" class="c1" target="_blank">浙江</a>
B
 <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1007/" title="浙江省" class="c1" target="_blank">浙江省</a> <a href="/tags/1185/" title="浙江" class="c1" target="_blank">浙江</a>
C
 <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1007/" title="浙江省" class="c1" target="_blank">浙江省</a> <a href="/tags/1185/" title="浙江" class="c1" target="_blank">浙江</a>
D
 <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1007/" title="浙江省" class="c1" target="_blank">浙江省</a> <a href="/tags/1185/" title="浙江" class="c1" target="_blank">浙江</a>

2.已知 <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1007/" title="浙江省" class="c1" target="_blank">浙江省</a> <a href="/tags/1185/" title="浙江" class="c1" target="_blank">浙江</a>  <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1007/" title="浙江省" class="c1" target="_blank">浙江省</a> <a href="/tags/1185/" title="浙江" class="c1" target="_blank">浙江</a> (i虚数) <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1007/" title="浙江省" class="c1" target="_blank">浙江省</a> <a href="/tags/1185/" title="浙江" class="c1" target="_blank">浙江</a>
A
 <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1007/" title="浙江省" class="c1" target="_blank">浙江省</a> <a href="/tags/1185/" title="浙江" class="c1" target="_blank">浙江</a>
B
1
C
 <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1007/" title="浙江省" class="c1" target="_blank">浙江省</a> <a href="/tags/1185/" title="浙江" class="c1" target="_blank">浙江</a>
D
3

3.已知非零向量 <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1007/" title="浙江省" class="c1" target="_blank">浙江省</a> <a href="/tags/1185/" title="浙江" class="c1" target="_blank">浙江</a> ,则“ <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1007/" title="浙江省" class="c1" target="_blank">浙江省</a> <a href="/tags/1185/" title="浙江" class="c1" target="_blank">浙江</a> ”是“ <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1007/" title="浙江省" class="c1" target="_blank">浙江省</a> <a href="/tags/1185/" title="浙江" class="c1" target="_blank">浙江</a> ”的( )
A
.充分不必要条件
B
.必要不充分条件
C
.充分必要条件
D
.既不充分又不必要条件

4.某几何体的三视图如图所示,则该几何体的体积是( )
 <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1007/" title="浙江省" class="c1" target="_blank">浙江省</a> <a href="/tags/1185/" title="浙江" class="c1" target="_blank">浙江</a>
A
 <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1007/" title="浙江省" class="c1" target="_blank">浙江省</a> <a href="/tags/1185/" title="浙江" class="c1" target="_blank">浙江</a>
B
3
C
 <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1007/" title="浙江省" class="c1" target="_blank">浙江省</a> <a href="/tags/1185/" title="浙江" class="c1" target="_blank">浙江</a>
D
 <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1007/" title="浙江省" class="c1" target="_blank">浙江省</a> <a href="/tags/1185/" title="浙江" class="c1" target="_blank">浙江</a>

5.若实数xy束条件 <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1007/" title="浙江省" class="c1" target="_blank">浙江省</a> <a href="/tags/1185/" title="浙江" class="c1" target="_blank">浙江</a>  <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1007/" title="浙江省" class="c1" target="_blank">浙江省</a> <a href="/tags/1185/" title="浙江" class="c1" target="_blank">浙江</a> 的最小是(
A
 <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1007/" title="浙江省" class="c1" target="_blank">浙江省</a> <a href="/tags/1185/" title="浙江" class="c1" target="_blank">浙江</a>
B
 <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1007/" title="浙江省" class="c1" target="_blank">浙江省</a> <a href="/tags/1185/" title="浙江" class="c1" target="_blank">浙江</a>
C
 <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1007/" title="浙江省" class="c1" target="_blank">浙江省</a> <a href="/tags/1185/" title="浙江" class="c1" target="_blank">浙江</a>
D
 <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1007/" title="浙江省" class="c1" target="_blank">浙江省</a> <a href="/tags/1185/" title="浙江" class="c1" target="_blank">浙江</a>

6.如图已知正方体 <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1007/" title="浙江省" class="c1" target="_blank">浙江省</a> <a href="/tags/1185/" title="浙江" class="c1" target="_blank">浙江</a> MN <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1007/" title="浙江省" class="c1" target="_blank">浙江省</a> <a href="/tags/1185/" title="浙江" class="c1" target="_blank">浙江</a>  <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1007/" title="浙江省" class="c1" target="_blank">浙江省</a> <a href="/tags/1185/" title="浙江" class="c1" target="_blank">浙江</a> 的中点,
 <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1007/" title="浙江省" class="c1" target="_blank">浙江省</a> <a href="/tags/1185/" title="浙江" class="c1" target="_blank">浙江</a>
A
.直线 <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1007/" title="浙江省" class="c1" target="_blank">浙江省</a> <a href="/tags/1185/" title="浙江" class="c1" target="_blank">浙江</a> 与直线 <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1007/" title="浙江省" class="c1" target="_blank">浙江省</a> <a href="/tags/1185/" title="浙江" class="c1" target="_blank">浙江</a> 垂直,直线 <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1007/" title="浙江省" class="c1" target="_blank">浙江省</a> <a href="/tags/1185/" title="浙江" class="c1" target="_blank">浙江</a> 平面 <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1007/" title="浙江省" class="c1" target="_blank">浙江省</a> <a href="/tags/1185/" title="浙江" class="c1" target="_blank">浙江</a>
B
.直线 <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1007/" title="浙江省" class="c1" target="_blank">浙江省</a> <a href="/tags/1185/" title="浙江" class="c1" target="_blank">浙江</a> 与直线 <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1007/" title="浙江省" class="c1" target="_blank">浙江省</a> <a href="/tags/1185/" title="浙江" class="c1" target="_blank">浙江</a> 平行,直线 <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1007/" title="浙江省" class="c1" target="_blank">浙江省</a> <a href="/tags/1185/" title="浙江" class="c1" target="_blank">浙江</a> 平面 <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1007/" title="浙江省" class="c1" target="_blank">浙江省</a> <a href="/tags/1185/" title="浙江" class="c1" target="_blank">浙江</a>
C
.直线 <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1007/" title="浙江省" class="c1" target="_blank">浙江省</a> <a href="/tags/1185/" title="浙江" class="c1" target="_blank">浙江</a> 与直线 <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1007/" title="浙江省" class="c1" target="_blank">浙江省</a> <a href="/tags/1185/" title="浙江" class="c1" target="_blank">浙江</a> 相交,直线 <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1007/" title="浙江省" class="c1" target="_blank">浙江省</a> <a href="/tags/1185/" title="浙江" class="c1" target="_blank">浙江</a> 平面 <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1007/" title="浙江省" class="c1" target="_blank">浙江省</a> <a href="/tags/1185/" title="浙江" class="c1" target="_blank">浙江</a>
D
.直线 <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1007/" title="浙江省" class="c1" target="_blank">浙江省</a> <a href="/tags/1185/" title="浙江" class="c1" target="_blank">浙江</a> 与直线 <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1007/" title="浙江省" class="c1" target="_blank">浙江省</a> <a href="/tags/1185/" title="浙江" class="c1" target="_blank">浙江</a> 异面,直线 <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1007/" title="浙江省" class="c1" target="_blank">浙江省</a> <a href="/tags/1185/" title="浙江" class="c1" target="_blank">浙江</a> 平面 <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1007/" title="浙江省" class="c1" target="_blank">浙江省</a> <a href="/tags/1185/" title="浙江" class="c1" target="_blank">浙江</a>

7.已知函数 <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1007/" title="浙江省" class="c1" target="_blank">浙江省</a> <a href="/tags/1185/" title="浙江" class="c1" target="_blank">浙江</a> ,则图象为如图的函数可能是( )
 <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1007/" title="浙江省" class="c1" target="_blank">浙江省</a> <a href="/tags/1185/" title="浙江" class="c1" target="_blank">浙江</a>
A
 <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1007/" title="浙江省" class="c1" target="_blank">浙江省</a> <a href="/tags/1185/" title="浙江" class="c1" target="_blank">浙江</a>
B
 <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1007/" title="浙江省" class="c1" target="_blank">浙江省</a> <a href="/tags/1185/" title="浙江" class="c1" target="_blank">浙江</a>
C
 <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1007/" title="浙江省" class="c1" target="_blank">浙江省</a> <a href="/tags/1185/" title="浙江" class="c1" target="_blank">浙江</a>
D
 <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1007/" title="浙江省" class="c1" target="_blank">浙江省</a> <a href="/tags/1185/" title="浙江" class="c1" target="_blank">浙江</a>

8.已知 <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1007/" title="浙江省" class="c1" target="_blank">浙江省</a> <a href="/tags/1185/" title="浙江" class="c1" target="_blank">浙江</a> 是互不相同的锐角,则在 <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1007/" title="浙江省" class="c1" target="_blank">浙江省</a> <a href="/tags/1185/" title="浙江" class="c1" target="_blank">浙江</a> 三个值中,大于 <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1007/" title="浙江省" class="c1" target="_blank">浙江省</a> <a href="/tags/1185/" title="浙江" class="c1" target="_blank">浙江</a> 的个数的最大值是( )
A
0
B
1
C
2
D
3

9.已知 <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1007/" title="浙江省" class="c1" target="_blank">浙江省</a> <a href="/tags/1185/" title="浙江" class="c1" target="_blank">浙江</a> ,函数 <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1007/" title="浙江省" class="c1" target="_blank">浙江省</a> <a href="/tags/1185/" title="浙江" class="c1" target="_blank">浙江</a> . <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1007/" title="浙江省" class="c1" target="_blank">浙江省</a> <a href="/tags/1185/" title="浙江" class="c1" target="_blank">浙江</a> 成等比数列,则平面上点 <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1007/" title="浙江省" class="c1" target="_blank">浙江省</a> <a href="/tags/1185/" title="浙江" class="c1" target="_blank">浙江</a> 的轨迹是( )
A
.直线和圆
B
.直线和椭圆
C
.直线和双曲线
D
.直线和抛物线

10.已知数列 <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1007/" title="浙江省" class="c1" target="_blank">浙江省</a> <a href="/tags/1185/" title="浙江" class="c1" target="_blank">浙江</a> 满足 <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1007/" title="浙江省" class="c1" target="_blank">浙江省</a> <a href="/tags/1185/" title="浙江" class="c1" target="_blank">浙江</a> .记数列 <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1007/" title="浙江省" class="c1" target="_blank">浙江省</a> <a href="/tags/1185/" title="浙江" class="c1" target="_blank">浙江</a> 的前n <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1007/" title="浙江省" class="c1" target="_blank">浙江省</a> <a href="/tags/1185/" title="浙江" class="c1" target="_blank">浙江</a>
A
 <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1007/" title="浙江省" class="c1" target="_blank">浙江省</a> <a href="/tags/1185/" title="浙江" class="c1" target="_blank">浙江</a>
B
 <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1007/" title="浙江省" class="c1" target="_blank">浙江省</a> <a href="/tags/1185/" title="浙江" class="c1" target="_blank">浙江</a>
C
 <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1007/" title="浙江省" class="c1" target="_blank">浙江省</a> <a href="/tags/1185/" title="浙江" class="c1" target="_blank">浙江</a>
D
 <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1007/" title="浙江省" class="c1" target="_blank">浙江省</a> <a href="/tags/1185/" title="浙江" class="c1" target="_blank">浙江</a>

评卷人

得分




二、填空题

11.我国古代数学家赵爽用弦图给出了勾股定理的证明.弦图是由四个全等的直角三角形和中间的一个小正方形拼成的一个大正方形(如图所示).若直角三角形直角边的长分别是34,记大正方形的面积为 <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1007/" title="浙江省" class="c1" target="_blank">浙江省</a> <a href="/tags/1185/" title="浙江" class="c1" target="_blank">浙江</a> ,小正方形的面积为 <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1007/" title="浙江省" class="c1" target="_blank">浙江省</a> <a href="/tags/1185/" title="浙江" class="c1" target="_blank">浙江</a> ,则 <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1007/" title="浙江省" class="c1" target="_blank">浙江省</a> <a href="/tags/1185/" title="浙江" class="c1" target="_blank">浙江</a> ___________.
 <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1007/" title="浙江省" class="c1" target="_blank">浙江省</a> <a href="/tags/1185/" title="浙江" class="c1" target="_blank">浙江</a>

12.已知 <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1007/" title="浙江省" class="c1" target="_blank">浙江省</a> <a href="/tags/1185/" title="浙江" class="c1" target="_blank">浙江</a> ,函数 <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1007/" title="浙江省" class="c1" target="_blank">浙江省</a> <a href="/tags/1185/" title="浙江" class="c1" target="_blank">浙江</a>  <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1007/" title="浙江省" class="c1" target="_blank">浙江省</a> <a href="/tags/1185/" title="浙江" class="c1" target="_blank">浙江</a> ,则 <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1007/" title="浙江省" class="c1" target="_blank">浙江省</a> <a href="/tags/1185/" title="浙江" class="c1" target="_blank">浙江</a> ___________.

13.已知平面向量 <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1007/" title="浙江省" class="c1" target="_blank">浙江省</a> <a href="/tags/1185/" title="浙江" class="c1" target="_blank">浙江</a> 满足 <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1007/" title="浙江省" class="c1" target="_blank">浙江省</a> <a href="/tags/1185/" title="浙江" class="c1" target="_blank">浙江</a> .记向量 <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1007/" title="浙江省" class="c1" target="_blank">浙江省</a> <a href="/tags/1185/" title="浙江" class="c1" target="_blank">浙江</a>  <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1007/" title="浙江省" class="c1" target="_blank">浙江省</a> <a href="/tags/1185/" title="浙江" class="c1" target="_blank">浙江</a> 方向上的投影分别为xy <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1007/" title="浙江省" class="c1" target="_blank">浙江省</a> <a href="/tags/1185/" title="浙江" class="c1" target="_blank">浙江</a>  <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1007/" title="浙江省" class="c1" target="_blank">浙江省</a> <a href="/tags/1185/" title="浙江" class="c1" target="_blank">浙江</a> 方向上的投影z <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1007/" title="浙江省" class="c1" target="_blank">浙江省</a> <a href="/tags/1185/" title="浙江" class="c1" target="_blank">浙江</a> 的最小值为___________.

评卷人

得分




三、双空题

14.已知多项式 <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1007/" title="浙江省" class="c1" target="_blank">浙江省</a> <a href="/tags/1185/" title="浙江" class="c1" target="_blank">浙江</a> ,则 <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1007/" title="浙江省" class="c1" target="_blank">浙江省</a> <a href="/tags/1185/" title="浙江" class="c1" target="_blank">浙江</a> ___________ <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1007/" title="浙江省" class="c1" target="_blank">浙江省</a> <a href="/tags/1185/" title="浙江" class="c1" target="_blank">浙江</a> ___________.

15. <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1007/" title="浙江省" class="c1" target="_blank">浙江省</a> <a href="/tags/1185/" title="浙江" class="c1" target="_blank">浙江</a> 中, <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1007/" title="浙江省" class="c1" target="_blank">浙江省</a> <a href="/tags/1185/" title="浙江" class="c1" target="_blank">浙江</a> M <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1007/" title="浙江省" class="c1" target="_blank">浙江省</a> <a href="/tags/1185/" title="浙江" class="c1" target="_blank">浙江</a> 的中点, <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1007/" title="浙江省" class="c1" target="_blank">浙江省</a> <a href="/tags/1185/" title="浙江" class="c1" target="_blank">浙江</a>  <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1007/" title="浙江省" class="c1" target="_blank">浙江省</a> <a href="/tags/1185/" title="浙江" class="c1" target="_blank">浙江</a> ___________ <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1007/" title="浙江省" class="c1" target="_blank">浙江省</a> <a href="/tags/1185/" title="浙江" class="c1" target="_blank">浙江</a> ___________.

16.袋中有4个红球m个黄球,n绿.从中任取两个球,取出的球数 <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1007/" title="浙江省" class="c1" target="_blank">浙江省</a> <a href="/tags/1185/" title="浙江" class="c1" target="_blank">浙江</a> ,若取出的两个球都是球的概率 <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1007/" title="浙江省" class="c1" target="_blank">浙江省</a> <a href="/tags/1185/" title="浙江" class="c1" target="_blank">浙江</a> ,一一黄的概率 <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1007/" title="浙江省" class="c1" target="_blank">浙江省</a> <a href="/tags/1185/" title="浙江" class="c1" target="_blank">浙江</a>  <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1007/" title="浙江省" class="c1" target="_blank">浙江省</a> <a href="/tags/1185/" title="浙江" class="c1" target="_blank">浙江</a> ___________ <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1007/" title="浙江省" class="c1" target="_blank">浙江省</a> <a href="/tags/1185/" title="浙江" class="c1" target="_blank">浙江</a> ___________.

17.已知椭圆 <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1007/" title="浙江省" class="c1" target="_blank">浙江省</a> <a href="/tags/1185/" title="浙江" class="c1" target="_blank">浙江</a> ,焦点 <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1007/" title="浙江省" class="c1" target="_blank">浙江省</a> <a href="/tags/1185/" title="浙江" class="c1" target="_blank">浙江</a>  <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1007/" title="浙江省" class="c1" target="_blank">浙江省</a> <a href="/tags/1185/" title="浙江" class="c1" target="_blank">浙江</a>  <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1007/" title="浙江省" class="c1" target="_blank">浙江省</a> <a href="/tags/1185/" title="浙江" class="c1" target="_blank">浙江</a> ,若过 <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1007/" title="浙江省" class="c1" target="_blank">浙江省</a> <a href="/tags/1185/" title="浙江" class="c1" target="_blank">浙江</a> 的直线和圆 <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1007/" title="浙江省" class="c1" target="_blank">浙江省</a> <a href="/tags/1185/" title="浙江" class="c1" target="_blank">浙江</a> 相切,与椭圆在第一象限交于点P,且 <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1007/" title="浙江省" class="c1" target="_blank">浙江省</a> <a href="/tags/1185/" title="浙江" class="c1" target="_blank">浙江</a> 则该线的斜率是___________椭圆的离心率是___________.

评卷人

得分




四、解答题

18.设函数 <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1007/" title="浙江省" class="c1" target="_blank">浙江省</a> <a href="/tags/1185/" title="浙江" class="c1" target="_blank">浙江</a> .
1)求函数 <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1007/" title="浙江省" class="c1" target="_blank">浙江省</a> <a href="/tags/1185/" title="浙江" class="c1" target="_blank">浙江</a> 的最小正周期;
2)求函数 <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1007/" title="浙江省" class="c1" target="_blank">浙江省</a> <a href="/tags/1185/" title="浙江" class="c1" target="_blank">浙江</a>  <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1007/" title="浙江省" class="c1" target="_blank">浙江省</a> <a href="/tags/1185/" title="浙江" class="c1" target="_blank">浙江</a> 上的最大值.

19.如图,在四棱锥 <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1007/" title="浙江省" class="c1" target="_blank">浙江省</a> <a href="/tags/1185/" title="浙江" class="c1" target="_blank">浙江</a> 中,底面 <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1007/" title="浙江省" class="c1" target="_blank">浙江省</a> <a href="/tags/1185/" title="浙江" class="c1" target="_blank">浙江</a> 是平行四边形, <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1007/" title="浙江省" class="c1" target="_blank">浙江省</a> <a href="/tags/1185/" title="浙江" class="c1" target="_blank">浙江</a> MN别为 <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1007/" title="浙江省" class="c1" target="_blank">浙江省</a> <a href="/tags/1185/" title="浙江" class="c1" target="_blank">浙江</a> 的中点, <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1007/" title="浙江省" class="c1" target="_blank">浙江省</a> <a href="/tags/1185/" title="浙江" class="c1" target="_blank">浙江</a> .
 <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1007/" title="浙江省" class="c1" target="_blank">浙江省</a> <a href="/tags/1185/" title="浙江" class="c1" target="_blank">浙江</a>
1明: <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1007/" title="浙江省" class="c1" target="_blank">浙江省</a> <a href="/tags/1185/" title="浙江" class="c1" target="_blank">浙江</a>
2)求直线 <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1007/" title="浙江省" class="c1" target="_blank">浙江省</a> <a href="/tags/1185/" title="浙江" class="c1" target="_blank">浙江</a> 与平面 <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1007/" title="浙江省" class="c1" target="_blank">浙江省</a> <a href="/tags/1185/" title="浙江" class="c1" target="_blank">浙江</a> 所成角的正弦.

20.已知数列 <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1007/" title="浙江省" class="c1" target="_blank">浙江省</a> <a href="/tags/1185/" title="浙江" class="c1" target="_blank">浙江</a> 的前n <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1007/" title="浙江省" class="c1" target="_blank">浙江省</a> <a href="/tags/1185/" title="浙江" class="c1" target="_blank">浙江</a>  <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1007/" title="浙江省" class="c1" target="_blank">浙江省</a> <a href="/tags/1185/" title="浙江" class="c1" target="_blank">浙江</a> ,且 <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1007/" title="浙江省" class="c1" target="_blank">浙江省</a> <a href="/tags/1185/" title="浙江" class="c1" target="_blank">浙江</a> .
1)求数列 <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1007/" title="浙江省" class="c1" target="_blank">浙江省</a> <a href="/tags/1185/" title="浙江" class="c1" target="_blank">浙江</a> 的通
2数列 <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1007/" title="浙江省" class="c1" target="_blank">浙江省</a> <a href="/tags/1185/" title="浙江" class="c1" target="_blank">浙江</a>  <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1007/" title="浙江省" class="c1" target="_blank">浙江省</a> <a href="/tags/1185/" title="浙江" class="c1" target="_blank">浙江</a>  <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1007/" title="浙江省" class="c1" target="_blank">浙江省</a> <a href="/tags/1185/" title="浙江" class="c1" target="_blank">浙江</a> 的前n <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1007/" title="浙江省" class="c1" target="_blank">浙江省</a> <a href="/tags/1185/" title="浙江" class="c1" target="_blank">浙江</a> ,若 <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1007/" title="浙江省" class="c1" target="_blank">浙江省</a> <a href="/tags/1185/" title="浙江" class="c1" target="_blank">浙江</a> 任意 <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1007/" title="浙江省" class="c1" target="_blank">浙江省</a> <a href="/tags/1185/" title="浙江" class="c1" target="_blank">浙江</a> 恒成立,求 <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1007/" title="浙江省" class="c1" target="_blank">浙江省</a> <a href="/tags/1185/" title="浙江" class="c1" target="_blank">浙江</a> 的取.

21.如图,已知F是抛物线 <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1007/" title="浙江省" class="c1" target="_blank">浙江省</a> <a href="/tags/1185/" title="浙江" class="c1" target="_blank">浙江</a> 的焦点,M是抛物线的准线x的交点,且 <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1007/" title="浙江省" class="c1" target="_blank">浙江省</a> <a href="/tags/1185/" title="浙江" class="c1" target="_blank">浙江</a>
 <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1007/" title="浙江省" class="c1" target="_blank">浙江省</a> <a href="/tags/1185/" title="浙江" class="c1" target="_blank">浙江</a>
1)求抛物线的方程;
2设过F的直线交抛物线AB两点,斜率2的直线l与直线 <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1007/" title="浙江省" class="c1" target="_blank">浙江省</a> <a href="/tags/1185/" title="浙江" class="c1" target="_blank">浙江</a> x依次交于点PQRN,且 <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1007/" title="浙江省" class="c1" target="_blank">浙江省</a> <a href="/tags/1185/" title="浙江" class="c1" target="_blank">浙江</a> ,求直线lx上截距的范.

22.ab为实数,且 <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1007/" title="浙江省" class="c1" target="_blank">浙江省</a> <a href="/tags/1185/" title="浙江" class="c1" target="_blank">浙江</a> ,函数 <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1007/" title="浙江省" class="c1" target="_blank">浙江省</a> <a href="/tags/1185/" title="浙江" class="c1" target="_blank">浙江</a>
1)求函数 <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1007/" title="浙江省" class="c1" target="_blank">浙江省</a> <a href="/tags/1185/" title="浙江" class="c1" target="_blank">浙江</a> 单调
2)若任意 <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1007/" title="浙江省" class="c1" target="_blank">浙江省</a> <a href="/tags/1185/" title="浙江" class="c1" target="_blank">浙江</a> ,函数 <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1007/" title="浙江省" class="c1" target="_blank">浙江省</a> <a href="/tags/1185/" title="浙江" class="c1" target="_blank">浙江</a> 有两个不同的零点,求a的取
3)当 <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1007/" title="浙江省" class="c1" target="_blank">浙江省</a> <a href="/tags/1185/" title="浙江" class="c1" target="_blank">浙江</a> 明:任意 <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1007/" title="浙江省" class="c1" target="_blank">浙江省</a> <a href="/tags/1185/" title="浙江" class="c1" target="_blank">浙江</a> ,函数 <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1007/" title="浙江省" class="c1" target="_blank">浙江省</a> <a href="/tags/1185/" title="浙江" class="c1" target="_blank">浙江</a> 有两个不同的零点 <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1007/" title="浙江省" class="c1" target="_blank">浙江省</a> <a href="/tags/1185/" title="浙江" class="c1" target="_blank">浙江</a>  <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1007/" title="浙江省" class="c1" target="_blank">浙江省</a> <a href="/tags/1185/" title="浙江" class="c1" target="_blank">浙江</a> .
(
注: <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1007/" title="浙江省" class="c1" target="_blank">浙江省</a> <a href="/tags/1185/" title="浙江" class="c1" target="_blank">浙江</a> 是自然数的底数)

参考答案

1.D

【解析】
由题意结合交集的定义可得结果.
由交集的定义结合题意可得: <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1007/" title="浙江省" class="c1" target="_blank">浙江省</a> <a href="/tags/1185/" title="浙江" class="c1" target="_blank">浙江</a> .
故选:D.

2.C

【解析】
首先计算左侧的结果,然后结合复数相等的充分必要条件即可求得实数 <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1007/" title="浙江省" class="c1" target="_blank">浙江省</a> <a href="/tags/1185/" title="浙江" class="c1" target="_blank">浙江</a> 的值.
 <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1007/" title="浙江省" class="c1" target="_blank">浙江省</a> <a href="/tags/1185/" title="浙江" class="c1" target="_blank">浙江</a>
利用复数相等的充分必要条件可得: <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1007/" title="浙江省" class="c1" target="_blank">浙江省</a> <a href="/tags/1185/" title="浙江" class="c1" target="_blank">浙江</a> .
故选:C.

3.B

【解析】
考虑两者之间的推出关系后可得两者之间的条件关系.
如图所示, <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1007/" title="浙江省" class="c1" target="_blank">浙江省</a> <a href="/tags/1185/" title="浙江" class="c1" target="_blank">浙江</a> , <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1007/" title="浙江省" class="c1" target="_blank">浙江省</a> <a href="/tags/1185/" title="浙江" class="c1" target="_blank">浙江</a> 时, <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1007/" title="浙江省" class="c1" target="_blank">浙江省</a> <a href="/tags/1185/" title="浙江" class="c1" target="_blank">浙江</a>  <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1007/" title="浙江省" class="c1" target="_blank">浙江省</a> <a href="/tags/1185/" title="浙江" class="c1" target="_blank">浙江</a> 垂直, <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1007/" title="浙江省" class="c1" target="_blank">浙江省</a> <a href="/tags/1185/" title="浙江" class="c1" target="_blank">浙江</a> ,所以 <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1007/" title="浙江省" class="c1" target="_blank">浙江省</a> <a href="/tags/1185/" title="浙江" class="c1" target="_blank">浙江</a> 成立,此时 <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1007/" title="浙江省" class="c1" target="_blank">浙江省</a> <a href="/tags/1185/" title="浙江" class="c1" target="_blank">浙江</a>
 <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1007/" title="浙江省" class="c1" target="_blank">浙江省</a> <a href="/tags/1185/" title="浙江" class="c1" target="_blank">浙江</a> 不是 <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1007/" title="浙江省" class="c1" target="_blank">浙江省</a> <a href="/tags/1185/" title="浙江" class="c1" target="_blank">浙江</a> 的充分条件,
 <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1007/" title="浙江省" class="c1" target="_blank">浙江省</a> <a href="/tags/1185/" title="浙江" class="c1" target="_blank">浙江</a> 时, <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1007/" title="浙江省" class="c1" target="_blank">浙江省</a> <a href="/tags/1185/" title="浙江" class="c1" target="_blank">浙江</a> ,∴ <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1007/" title="浙江省" class="c1" target="_blank">浙江省</a> <a href="/tags/1185/" title="浙江" class="c1" target="_blank">浙江</a> ,∴ <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1007/" title="浙江省" class="c1" target="_blank">浙江省</a> <a href="/tags/1185/" title="浙江" class="c1" target="_blank">浙江</a> 成立,
 <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1007/" title="浙江省" class="c1" target="_blank">浙江省</a> <a href="/tags/1185/" title="浙江" class="c1" target="_blank">浙江</a>  <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1007/" title="浙江省" class="c1" target="_blank">浙江省</a> <a href="/tags/1185/" title="浙江" class="c1" target="_blank">浙江</a> 的必要条件,
综上,“ <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1007/" title="浙江省" class="c1" target="_blank">浙江省</a> <a href="/tags/1185/" title="浙江" class="c1" target="_blank">浙江</a> ”是“ <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1007/" title="浙江省" class="c1" target="_blank">浙江省</a> <a href="/tags/1185/" title="浙江" class="c1" target="_blank">浙江</a> ”的必要不充分条件
 <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1007/" title="浙江省" class="c1" target="_blank">浙江省</a> <a href="/tags/1185/" title="浙江" class="c1" target="_blank">浙江</a>
故选:B.

4.A

【解析】
根据三视图可得如图所示的几何体,根据棱柱的体积公式可求其体积.
几何体为如图所示的四棱柱 <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1007/" title="浙江省" class="c1" target="_blank">浙江省</a> <a href="/tags/1185/" title="浙江" class="c1" target="_blank">浙江</a> ,其高为1,底面为等腰梯形 <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1007/" title="浙江省" class="c1" target="_blank">浙江省</a> <a href="/tags/1185/" title="浙江" class="c1" target="_blank">浙江</a>
该等腰梯形的上底为 <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1007/" title="浙江省" class="c1" target="_blank">浙江省</a> <a href="/tags/1185/" title="浙江" class="c1" target="_blank">浙江</a> ,下底为 <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1007/" title="浙江省" class="c1" target="_blank">浙江省</a> <a href="/tags/1185/" title="浙江" class="c1" target="_blank">浙江</a> ,腰长为1,故梯形的高为 <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1007/" title="浙江省" class="c1" target="_blank">浙江省</a> <a href="/tags/1185/" title="浙江" class="c1" target="_blank">浙江</a>
 <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1007/" title="浙江省" class="c1" target="_blank">浙江省</a> <a href="/tags/1185/" title="浙江" class="c1" target="_blank">浙江</a>
故选:A.
 <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1007/" title="浙江省" class="c1" target="_blank">浙江省</a> <a href="/tags/1185/" title="浙江" class="c1" target="_blank">浙江</a>


5.B

【解析】
画出满足条件的可行域,目标函数化为 <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1007/" title="浙江省" class="c1" target="_blank">浙江省</a> <a href="/tags/1185/" title="浙江" class="c1" target="_blank">浙江</a> ,求出过可行域点,且斜率为 <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1007/" title="浙江省" class="c1" target="_blank">浙江省</a> <a href="/tags/1185/" title="浙江" class="c1" target="_blank">浙江</a> 的直线在 <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1007/" title="浙江省" class="c1" target="_blank">浙江省</a> <a href="/tags/1185/" title="浙江" class="c1" target="_blank">浙江</a> 轴上截距的最大值即可.
画出满足约束条件 <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1007/" title="浙江省" class="c1" target="_blank">浙江省</a> <a href="/tags/1185/" title="浙江" class="c1" target="_blank">浙江</a> 的可行域,
如下图所示:
 <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1007/" title="浙江省" class="c1" target="_blank">浙江省</a> <a href="/tags/1185/" title="浙江" class="c1" target="_blank">浙江</a>
目标函数 <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1007/" title="浙江省" class="c1" target="_blank">浙江省</a> <a href="/tags/1185/" title="浙江" class="c1" target="_blank">浙江</a> 化为 <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1007/" title="浙江省" class="c1" target="_blank">浙江省</a> <a href="/tags/1185/" title="浙江" class="c1" target="_blank">浙江</a>
 <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1007/" title="浙江省" class="c1" target="_blank">浙江省</a> <a href="/tags/1185/" title="浙江" class="c1" target="_blank">浙江</a> ,解得 <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1007/" title="浙江省" class="c1" target="_blank">浙江省</a> <a href="/tags/1185/" title="浙江" class="c1" target="_blank">浙江</a> ,设 <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1007/" title="浙江省" class="c1" target="_blank">浙江省</a> <a href="/tags/1185/" title="浙江" class="c1" target="_blank">浙江</a>
当直线 <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1007/" title="浙江省" class="c1" target="_blank">浙江省</a> <a href="/tags/1185/" title="浙江" class="c1" target="_blank">浙江</a>  <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1007/" title="浙江省" class="c1" target="_blank">浙江省</a> <a href="/tags/1185/" title="浙江" class="c1" target="_blank">浙江</a> 点时,
 <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1007/" title="浙江省" class="c1" target="_blank">浙江省</a> <a href="/tags/1185/" title="浙江" class="c1" target="_blank">浙江</a> 取得最小值为 <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1007/" title="浙江省" class="c1" target="_blank">浙江省</a> <a href="/tags/1185/" title="浙江" class="c1" target="_blank">浙江</a> .
故选:B.

6.A

【解析】
由正方体间的垂直、平行关系,可证 <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1007/" title="浙江省" class="c1" target="_blank">浙江省</a> <a href="/tags/1185/" title="浙江" class="c1" target="_blank">浙江</a> 平面 <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1007/" title="浙江省" class="c1" target="_blank">浙江省</a> <a href="/tags/1185/" title="浙江" class="c1" target="_blank">浙江</a> ,即可得出结论.
 <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1007/" title="浙江省" class="c1" target="_blank">浙江省</a> <a href="/tags/1185/" title="浙江" class="c1" target="_blank">浙江</a>
 <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1007/" title="浙江省" class="c1" target="_blank">浙江省</a> <a href="/tags/1185/" title="浙江" class="c1" target="_blank">浙江</a> ,在正方体 <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1007/" title="浙江省" class="c1" target="_blank">浙江省</a> <a href="/tags/1185/" title="浙江" class="c1" target="_blank">浙江</a> 中,
M <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1007/" title="浙江省" class="c1" target="_blank">浙江省</a> <a href="/tags/1185/" title="浙江" class="c1" target="_blank">浙江</a> 的中点,所以 <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1007/" title="浙江省" class="c1" target="_blank">浙江省</a> <a href="/tags/1185/" title="浙江" class="c1" target="_blank">浙江</a>  <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1007/" title="浙江省" class="c1" target="_blank">浙江省</a> <a href="/tags/1185/" title="浙江" class="c1" target="_blank">浙江</a> 中点,
N <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1007/" title="浙江省" class="c1" target="_blank">浙江省</a> <a href="/tags/1185/" title="浙江" class="c1" target="_blank">浙江</a> 的中点,所以 <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1007/" title="浙江省" class="c1" target="_blank">浙江省</a> <a href="/tags/1185/" title="浙江" class="c1" target="_blank">浙江</a>
 <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1007/" title="浙江省" class="c1" target="_blank">浙江省</a> <a href="/tags/1185/" title="浙江" class="c1" target="_blank">浙江</a> 平面 <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1007/" title="浙江省" class="c1" target="_blank">浙江省</a> <a href="/tags/1185/" title="浙江" class="c1" target="_blank">浙江</a> 平面 <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1007/" title="浙江省" class="c1" target="_blank">浙江省</a> <a href="/tags/1185/" title="浙江" class="c1" target="_blank">浙江</a>
所以 <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1007/" title="浙江省" class="c1" target="_blank">浙江省</a> <a href="/tags/1185/" title="浙江" class="c1" target="_blank">浙江</a> 平面 <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1007/" title="浙江省" class="c1" target="_blank">浙江省</a> <a href="/tags/1185/" title="浙江" class="c1" target="_blank">浙江</a> .
 <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1007/" title="浙江省" class="c1" target="_blank">浙江省</a> <a href="/tags/1185/" title="浙江" class="c1" target="_blank">浙江</a> 不垂直 <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1007/" title="浙江省" class="c1" target="_blank">浙江省</a> <a href="/tags/1185/" title="浙江" class="c1" target="_blank">浙江</a> ,所以 <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1007/" title="浙江省" class="c1" target="_blank">浙江省</a> <a href="/tags/1185/" title="浙江" class="c1" target="_blank">浙江</a> 不垂直 <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1007/" title="浙江省" class="c1" target="_blank">浙江省</a> <a href="/tags/1185/" title="浙江" class="c1" target="_blank">浙江</a>
 <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1007/" title="浙江省" class="c1" target="_blank">浙江省</a> <a href="/tags/1185/" title="浙江" class="c1" target="_blank">浙江</a> 不垂直平面 <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1007/" title="浙江省" class="c1" target="_blank">浙江省</a> <a href="/tags/1185/" title="浙江" class="c1" target="_blank">浙江</a> ,所以选项B,D不正确;
在正方体 <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1007/" title="浙江省" class="c1" target="_blank">浙江省</a> <a href="/tags/1185/" title="浙江" class="c1" target="_blank">浙江</a> 中, <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1007/" title="浙江省" class="c1" target="_blank">浙江省</a> <a href="/tags/1185/" title="浙江" class="c1" target="_blank">浙江</a>
 <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1007/" title="浙江省" class="c1" target="_blank">浙江省</a> <a href="/tags/1185/" title="浙江" class="c1" target="_blank">浙江</a> 平面 <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1007/" title="浙江省" class="c1" target="_blank">浙江省</a> <a href="/tags/1185/" title="浙江" class="c1" target="_blank">浙江</a> ,所以 <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1007/" title="浙江省" class="c1" target="_blank">浙江省</a> <a href="/tags/1185/" title="浙江" class="c1" target="_blank">浙江</a>
 <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1007/" title="浙江省" class="c1" target="_blank">浙江省</a> <a href="/tags/1185/" title="浙江" class="c1" target="_blank">浙江</a> ,所以 <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1007/" title="浙江省" class="c1" target="_blank">浙江省</a> <a href="/tags/1185/" title="浙江" class="c1" target="_blank">浙江</a> 平面 <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1007/" title="浙江省" class="c1" target="_blank">浙江省</a> <a href="/tags/1185/" title="浙江" class="c1" target="_blank">浙江</a>
 <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1007/" title="浙江省" class="c1" target="_blank">浙江省</a> <a href="/tags/1185/" title="浙江" class="c1" target="_blank">浙江</a> 平面 <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1007/" title="浙江省" class="c1" target="_blank">浙江省</a> <a href="/tags/1185/" title="浙江" class="c1" target="_blank">浙江</a> ,所以 <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1007/" title="浙江省" class="c1" target="_blank">浙江省</a> <a href="/tags/1185/" title="浙江" class="c1" target="_blank">浙江</a>
且直线 <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1007/" title="浙江省" class="c1" target="_blank">浙江省</a> <a href="/tags/1185/" title="浙江" class="c1" target="_blank">浙江</a> 是异面直线
所以选项C错误选项A正确.
A.

7.D

【解析】
由函数的奇偶性可排除AB,结合导数判断函数的单调性可判断C,即可得解.
对于A <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1007/" title="浙江省" class="c1" target="_blank">浙江省</a> <a href="/tags/1185/" title="浙江" class="c1" target="_blank">浙江</a> ,该函数为非奇非偶函数,与函数图象不符,排除A
对于B <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1007/" title="浙江省" class="c1" target="_blank">浙江省</a> <a href="/tags/1185/" title="浙江" class="c1" target="_blank">浙江</a> ,该函数为非奇非偶函数,与函数图象不符,排除B
对于C <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1007/" title="浙江省" class="c1" target="_blank">浙江省</a> <a href="/tags/1185/" title="浙江" class="c1" target="_blank">浙江</a> ,则 <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1007/" title="浙江省" class="c1" target="_blank">浙江省</a> <a href="/tags/1185/" title="浙江" class="c1" target="_blank">浙江</a>
 <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1007/" title="浙江省" class="c1" target="_blank">浙江省</a> <a href="/tags/1185/" title="浙江" class="c1" target="_blank">浙江</a> 时, <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1007/" title="浙江省" class="c1" target="_blank">浙江省</a> <a href="/tags/1185/" title="浙江" class="c1" target="_blank">浙江</a> ,与图象不符,排除C.
故选:D.

8.C

【解析】
利用基本不等式或排序不等式得 <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1007/" title="浙江省" class="c1" target="_blank">浙江省</a> <a href="/tags/1185/" title="浙江" class="c1" target="_blank">浙江</a> ,从而可判断三个代数式不可能均大于 <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1007/" title="浙江省" class="c1" target="_blank">浙江省</a> <a href="/tags/1185/" title="浙江" class="c1" target="_blank">浙江</a> ,再结合特例可得三式中大于 <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1007/" title="浙江省" class="c1" target="_blank">浙江省</a> <a href="/tags/1185/" title="浙江" class="c1" target="_blank">浙江</a> 的个数的最大值.
1:由基本不等式有 <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1007/" title="浙江省" class="c1" target="_blank">浙江省</a> <a href="/tags/1185/" title="浙江" class="c1" target="_blank">浙江</a>
同理 <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1007/" title="浙江省" class="c1" target="_blank">浙江省</a> <a href="/tags/1185/" title="浙江" class="c1" target="_blank">浙江</a>  <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1007/" title="浙江省" class="c1" target="_blank">浙江省</a> <a href="/tags/1185/" title="浙江" class="c1" target="_blank">浙江</a>
 <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1007/" title="浙江省" class="c1" target="_blank">浙江省</a> <a href="/tags/1185/" title="浙江" class="c1" target="_blank">浙江</a>
 <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1007/" title="浙江省" class="c1" target="_blank">浙江省</a> <a href="/tags/1185/" title="浙江" class="c1" target="_blank">浙江</a> 不可能均大于 <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1007/" title="浙江省" class="c1" target="_blank">浙江省</a> <a href="/tags/1185/" title="浙江" class="c1" target="_blank">浙江</a> .
 <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1007/" title="浙江省" class="c1" target="_blank">浙江省</a> <a href="/tags/1185/" title="浙江" class="c1" target="_blank">浙江</a>  <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1007/" title="浙江省" class="c1" target="_blank">浙江省</a> <a href="/tags/1185/" title="浙江" class="c1" target="_blank">浙江</a>  <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1007/" title="浙江省" class="c1" target="_blank">浙江省</a> <a href="/tags/1185/" title="浙江" class="c1" target="_blank">浙江</a>
 <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1007/" title="浙江省" class="c1" target="_blank">浙江省</a> <a href="/tags/1185/" title="浙江" class="c1" target="_blank">浙江</a>
故三式中大于 <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1007/" title="浙江省" class="c1" target="_blank">浙江省</a> <a href="/tags/1185/" title="浙江" class="c1" target="_blank">浙江</a> 的个数的最大值为2
故选:C.
2:不妨设 <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1007/" title="浙江省" class="c1" target="_blank">浙江省</a> <a href="/tags/1185/" title="浙江" class="c1" target="_blank">浙江</a> ,则 <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1007/" title="浙江省" class="c1" target="_blank">浙江省</a> <a href="/tags/1185/" title="浙江" class="c1" target="_blank">浙江</a>
由排列不等式可得:
 <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1007/" title="浙江省" class="c1" target="_blank">浙江省</a> <a href="/tags/1185/" title="浙江" class="c1" target="_blank">浙江</a>
 <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1007/" title="浙江省" class="c1" target="_blank">浙江省</a> <a href="/tags/1185/" title="浙江" class="c1" target="_blank">浙江</a>
 <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1007/" title="浙江省" class="c1" target="_blank">浙江省</a> <a href="/tags/1185/" title="浙江" class="c1" target="_blank">浙江</a> 不可能均大于 <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1007/" title="浙江省" class="c1" target="_blank">浙江省</a> <a href="/tags/1185/" title="浙江" class="c1" target="_blank">浙江</a> .
 <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1007/" title="浙江省" class="c1" target="_blank">浙江省</a> <a href="/tags/1185/" title="浙江" class="c1" target="_blank">浙江</a>  <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1007/" title="浙江省" class="c1" target="_blank">浙江省</a> <a href="/tags/1185/" title="浙江" class="c1" target="_blank">浙江</a>  <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1007/" title="浙江省" class="c1" target="_blank">浙江省</a> <a href="/tags/1185/" title="浙江" class="c1" target="_blank">浙江</a>
 <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1007/" title="浙江省" class="c1" target="_blank">浙江省</a> <a href="/tags/1185/" title="浙江" class="c1" target="_blank">浙江</a>
故三式中大于 <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1007/" title="浙江省" class="c1" target="_blank">浙江省</a> <a href="/tags/1185/" title="浙江" class="c1" target="_blank">浙江</a> 的个数的最大值为2
故选:C.

9.C

【解析】
首先利用等比数列得到等式,然后对所得的等式进行恒等变形即可确定其轨迹方程.
由题意得 <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1007/" title="浙江省" class="c1" target="_blank">浙江省</a> <a href="/tags/1185/" title="浙江" class="c1" target="_blank">浙江</a> ,即 <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1007/" title="浙江省" class="c1" target="_blank">浙江省</a> <a href="/tags/1185/" title="浙江" class="c1" target="_blank">浙江</a>
对其进行整理变形:
 <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1007/" title="浙江省" class="c1" target="_blank">浙江省</a> <a href="/tags/1185/" title="浙江" class="c1" target="_blank">浙江</a>
 <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1007/" title="浙江省" class="c1" target="_blank">浙江省</a> <a href="/tags/1185/" title="浙江" class="c1" target="_blank">浙江</a>
 <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1007/" title="浙江省" class="c1" target="_blank">浙江省</a> <a href="/tags/1185/" title="浙江" class="c1" target="_blank">浙江</a>
 <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1007/" title="浙江省" class="c1" target="_blank">浙江省</a> <a href="/tags/1185/" title="浙江" class="c1" target="_blank">浙江</a>
所以 <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1007/" title="浙江省" class="c1" target="_blank">浙江省</a> <a href="/tags/1185/" title="浙江" class="c1" target="_blank">浙江</a>  <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1007/" title="浙江省" class="c1" target="_blank">浙江省</a> <a href="/tags/1185/" title="浙江" class="c1" target="_blank">浙江</a>
其中 <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1007/" title="浙江省" class="c1" target="_blank">浙江省</a> <a href="/tags/1185/" title="浙江" class="c1" target="_blank">浙江</a> 为双曲线, <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1007/" title="浙江省" class="c1" target="_blank">浙江省</a> <a href="/tags/1185/" title="浙江" class="c1" target="_blank">浙江</a> 为直线.
故选:C.

10.A

【解析】
显然可知, <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1007/" title="浙江省" class="c1" target="_blank">浙江省</a> <a href="/tags/1185/" title="浙江" class="c1" target="_blank">浙江</a> ,利用倒数法得到 <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1007/" title="浙江省" class="c1" target="_blank">浙江省</a> <a href="/tags/1185/" title="浙江" class="c1" target="_blank">浙江</a> ,再放缩可得 <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1007/" title="浙江省" class="c1" target="_blank">浙江省</a> <a href="/tags/1185/" title="浙江" class="c1" target="_blank">浙江</a> ,由累加法可得 <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1007/" title="浙江省" class="c1" target="_blank">浙江省</a> <a href="/tags/1185/" title="浙江" class="c1" target="_blank">浙江</a> ,进而由 <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1007/" title="浙江省" class="c1" target="_blank">浙江省</a> <a href="/tags/1185/" title="浙江" class="c1" target="_blank">浙江</a> 局部放缩可得 <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1007/" title="浙江省" class="c1" target="_blank">浙江省</a> <a href="/tags/1185/" title="浙江" class="c1" target="_blank">浙江</a> ,然后利用累乘法求得 <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1007/" title="浙江省" class="c1" target="_blank">浙江省</a> <a href="/tags/1185/" title="浙江" class="c1" target="_blank">浙江</a> ,最后根据裂项相消法即可得到 <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1007/" title="浙江省" class="c1" target="_blank">浙江省</a> <a href="/tags/1185/" title="浙江" class="c1" target="_blank">浙江</a> ,从而得解.
因为 <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1007/" title="浙江省" class="c1" target="_blank">浙江省</a> <a href="/tags/1185/" title="浙江" class="c1" target="_blank">浙江</a> ,所以 <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1007/" title="浙江省" class="c1" target="_blank">浙江省</a> <a href="/tags/1185/" title="浙江" class="c1" target="_blank">浙江</a>  <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1007/" title="浙江省" class="c1" target="_blank">浙江省</a> <a href="/tags/1185/" title="浙江" class="c1" target="_blank">浙江</a>
 <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1007/" title="浙江省" class="c1" target="_blank">浙江省</a> <a href="/tags/1185/" title="浙江" class="c1" target="_blank">浙江</a>
 <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1007/" title="浙江省" class="c1" target="_blank">浙江省</a> <a href="/tags/1185/" title="浙江" class="c1" target="_blank">浙江</a> ,即 <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1007/" title="浙江省" class="c1" target="_blank">浙江省</a> <a href="/tags/1185/" title="浙江" class="c1" target="_blank">浙江</a>
根据累加法可得, <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1007/" title="浙江省" class="c1" target="_blank">浙江省</a> <a href="/tags/1185/" title="浙江" class="c1" target="_blank">浙江</a> ,当且仅当 <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1007/" title="浙江省" class="c1" target="_blank">浙江省</a> <a href="/tags/1185/" title="浙江" class="c1" target="_blank">浙江</a> 时取等号, <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1007/" title="浙江省" class="c1" target="_blank">浙江省</a> <a href="/tags/1185/" title="浙江" class="c1" target="_blank">浙江</a>
 <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1007/" title="浙江省" class="c1" target="_blank">浙江省</a> <a href="/tags/1185/" title="浙江" class="c1" target="_blank">浙江</a>
由累乘法可得 <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1007/" title="浙江省" class="c1" target="_blank">浙江省</a> <a href="/tags/1185/" title="浙江" class="c1" target="_blank">浙江</a> ,当且仅当 <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1007/" title="浙江省" class="c1" target="_blank">浙江省</a> <a href="/tags/1185/" title="浙江" class="c1" target="_blank">浙江</a> 时取等号,
由裂项求和法得:
所以 <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1007/" title="浙江省" class="c1" target="_blank">浙江省</a> <a href="/tags/1185/" title="浙江" class="c1" target="_blank">浙江</a> ,即 <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1007/" title="浙江省" class="c1" target="_blank">浙江省</a> <a href="/tags/1185/" title="浙江" class="c1" target="_blank">浙江</a>
故选:A

11.25

【解析】
分别求得大正方形的面积和小正方形的面积,然后计算其比值即可.
由题意可得,大正方形的边长为: <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1007/" title="浙江省" class="c1" target="_blank">浙江省</a> <a href="/tags/1185/" title="浙江" class="c1" target="_blank">浙江</a>
则其面积为: <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1007/" title="浙江省" class="c1" target="_blank">浙江省</a> <a href="/tags/1185/" title="浙江" class="c1" target="_blank">浙江</a>
小正方形的面积: <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1007/" title="浙江省" class="c1" target="_blank">浙江省</a> <a href="/tags/1185/" title="浙江" class="c1" target="_blank">浙江</a>
从而 <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1007/" title="浙江省" class="c1" target="_blank">浙江省</a> <a href="/tags/1185/" title="浙江" class="c1" target="_blank">浙江</a> .
故答案为:25.


12.2

【解析】
由题意结合函数的解析式得到关于 <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1007/" title="浙江省" class="c1" target="_blank">浙江省</a> <a href="/tags/1185/" title="浙江" class="c1" target="_blank">浙江</a> 的方程,解方程可得 <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1007/" title="浙江省" class="c1" target="_blank">浙江省</a> <a href="/tags/1185/" title="浙江" class="c1" target="_blank">浙江</a> 的值.
 <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1007/" title="浙江省" class="c1" target="_blank">浙江省</a> <a href="/tags/1185/" title="浙江" class="c1" target="_blank">浙江</a> ,故 <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1007/" title="浙江省" class="c1" target="_blank">浙江省</a> <a href="/tags/1185/" title="浙江" class="c1" target="_blank">浙江</a>
故答案为:2.

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

【解析】
 <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1007/" title="浙江省" class="c1" target="_blank">浙江省</a> <a href="/tags/1185/" title="浙江" class="c1" target="_blank">浙江</a> ,由平面向量的知识可得 <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1007/" title="浙江省" class="c1" target="_blank">浙江省</a> <a href="/tags/1185/" title="浙江" class="c1" target="_blank">浙江</a> ,再结合柯西不等式即可得解.
由题意,设 <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1007/" title="浙江省" class="c1" target="_blank">浙江省</a> <a href="/tags/1185/" title="浙江" class="c1" target="_blank">浙江</a>
 <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1007/" title="浙江省" class="c1" target="_blank">浙江省</a> <a href="/tags/1185/" title="浙江" class="c1" target="_blank">浙江</a> ,即 <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1007/" title="浙江省" class="c1" target="_blank">浙江省</a> <a href="/tags/1185/" title="浙江" class="c1" target="_blank">浙江</a>
又向量 <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1007/" title="浙江省" class="c1" target="_blank">浙江省</a> <a href="/tags/1185/" title="浙江" class="c1" target="_blank">浙江</a>  <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1007/" title="浙江省" class="c1" target="_blank">浙江省</a> <a href="/tags/1185/" title="浙江" class="c1" target="_blank">浙江</a> 方向上的投影分别为xy,所以 <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1007/" title="浙江省" class="c1" target="_blank">浙江省</a> <a href="/tags/1185/" title="浙江" class="c1" target="_blank">浙江</a>
所以 <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1007/" title="浙江省" class="c1" target="_blank">浙江省</a> <a href="/tags/1185/" title="浙江" class="c1" target="_blank">浙江</a>  <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1007/" title="浙江省" class="c1" target="_blank">浙江省</a> <a href="/tags/1185/" title="浙江" class="c1" target="_blank">浙江</a> 方向上的投影 <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1007/" title="浙江省" class="c1" target="_blank">浙江省</a> <a href="/tags/1185/" title="浙江" class="c1" target="_blank">浙江</a>
 <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1007/" title="浙江省" class="c1" target="_blank">浙江省</a> <a href="/tags/1185/" title="浙江" class="c1" target="_blank">浙江</a> ,
所以 <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1007/" title="浙江省" class="c1" target="_blank">浙江省</a> <a href="/tags/1185/" title="浙江" class="c1" target="_blank">浙江</a>
当且 <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1007/" title="浙江省" class="c1" target="_blank">浙江省</a> <a href="/tags/1185/" title="浙江" class="c1" target="_blank">浙江</a>  <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1007/" title="浙江省" class="c1" target="_blank">浙江省</a> <a href="/tags/1185/" title="浙江" class="c1" target="_blank">浙江</a> ,等号成立,
所以 <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1007/" title="浙江省" class="c1" target="_blank">浙江省</a> <a href="/tags/1185/" title="浙江" class="c1" target="_blank">浙江</a> 的最小值为 <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1007/" title="浙江省" class="c1" target="_blank">浙江省</a> <a href="/tags/1185/" title="浙江" class="c1" target="_blank">浙江</a> .
故答案 <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1007/" title="浙江省" class="c1" target="_blank">浙江省</a> <a href="/tags/1185/" title="浙江" class="c1" target="_blank">浙江</a> .


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

【解析】
根据二项展开式定理,分别求出 <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1007/" title="浙江省" class="c1" target="_blank">浙江省</a> <a href="/tags/1185/" title="浙江" class="c1" target="_blank">浙江</a> 的展开式,即可得出结论.
 <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1007/" title="浙江省" class="c1" target="_blank">浙江省</a> <a href="/tags/1185/" title="浙江" class="c1" target="_blank">浙江</a>
 <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1007/" title="浙江省" class="c1" target="_blank">浙江省</a> <a href="/tags/1185/" title="浙江" class="c1" target="_blank">浙江</a>
所以 <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1007/" title="浙江省" class="c1" target="_blank">浙江省</a> <a href="/tags/1185/" title="浙江" class="c1" target="_blank">浙江</a>
 <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1007/" title="浙江省" class="c1" target="_blank">浙江省</a> <a href="/tags/1185/" title="浙江" class="c1" target="_blank">浙江</a>
所以 <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1007/" title="浙江省" class="c1" target="_blank">浙江省</a> <a href="/tags/1185/" title="浙江" class="c1" target="_blank">浙江</a> .
故答案为: <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1007/" title="浙江省" class="c1" target="_blank">浙江省</a> <a href="/tags/1185/" title="浙江" class="c1" target="_blank">浙江</a> .

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

【解析】
由题意结合余弦定理可得 <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1007/" title="浙江省" class="c1" target="_blank">浙江省</a> <a href="/tags/1185/" title="浙江" class="c1" target="_blank">浙江</a> ,进而可得 <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1007/" title="浙江省" class="c1" target="_blank">浙江省</a> <a href="/tags/1185/" title="浙江" class="c1" target="_blank">浙江</a> ,再由余弦定理可得 <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1007/" title="浙江省" class="c1" target="_blank">浙江省</a> <a href="/tags/1185/" title="浙江" class="c1" target="_blank">浙江</a> .
由题意作出图形,如图,
 <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1007/" title="浙江省" class="c1" target="_blank">浙江省</a> <a href="/tags/1185/" title="浙江" class="c1" target="_blank">浙江</a>
 <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1007/" title="浙江省" class="c1" target="_blank">浙江省</a> <a href="/tags/1185/" title="浙江" class="c1" target="_blank">浙江</a> 中,由余弦定理得 <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1007/" title="浙江省" class="c1" target="_blank">浙江省</a> <a href="/tags/1185/" title="浙江" class="c1" target="_blank">浙江</a>
 <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1007/" title="浙江省" class="c1" target="_blank">浙江省</a> <a href="/tags/1185/" title="浙江" class="c1" target="_blank">浙江</a> ,解得 <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1007/" title="浙江省" class="c1" target="_blank">浙江省</a> <a href="/tags/1185/" title="浙江" class="c1" target="_blank">浙江</a> (负值舍去),
所以 <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1007/" title="浙江省" class="c1" target="_blank">浙江省</a> <a href="/tags/1185/" title="浙江" class="c1" target="_blank">浙江</a>
 <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1007/" title="浙江省" class="c1" target="_blank">浙江省</a> <a href="/tags/1185/" title="浙江" class="c1" target="_blank">浙江</a> 中,由余弦定理得 <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1007/" title="浙江省" class="c1" target="_blank">浙江省</a> <a href="/tags/1185/" title="浙江" class="c1" target="_blank">浙江</a>
所以 <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1007/" title="浙江省" class="c1" target="_blank">浙江省</a> <a href="/tags/1185/" title="浙江" class="c1" target="_blank">浙江</a>
 <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1007/" title="浙江省" class="c1" target="_blank">浙江省</a> <a href="/tags/1185/" title="浙江" class="c1" target="_blank">浙江</a> 中,由余弦定理得 <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1007/" title="浙江省" class="c1" target="_blank">浙江省</a> <a href="/tags/1185/" title="浙江" class="c1" target="_blank">浙江</a> .
故答案为: <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1007/" title="浙江省" class="c1" target="_blank">浙江省</a> <a href="/tags/1185/" title="浙江" class="c1" target="_blank">浙江</a>  <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1007/" title="浙江省" class="c1" target="_blank">浙江省</a> <a href="/tags/1185/" title="浙江" class="c1" target="_blank">浙江</a> .

16.     1      <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1007/" title="浙江省" class="c1" target="_blank">浙江省</a> <a href="/tags/1185/" title="浙江" class="c1" target="_blank">浙江</a>

【解析】
根据古典概型的概率公式即可列式求得 <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1007/" title="浙江省" class="c1" target="_blank">浙江省</a> <a href="/tags/1185/" title="浙江" class="c1" target="_blank">浙江</a> 的值,再根据随机变量 <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1007/" title="浙江省" class="c1" target="_blank">浙江省</a> <a href="/tags/1185/" title="浙江" class="c1" target="_blank">浙江</a> 的分布列即可求出 <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1007/" title="浙江省" class="c1" target="_blank">浙江省</a> <a href="/tags/1185/" title="浙江" class="c1" target="_blank">浙江</a>
 <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1007/" title="浙江省" class="c1" target="_blank">浙江省</a> <a href="/tags/1185/" title="浙江" class="c1" target="_blank">浙江</a> ,所以 <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1007/" title="浙江省" class="c1" target="_blank">浙江省</a> <a href="/tags/1185/" title="浙江" class="c1" target="_blank">浙江</a>
 <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1007/" title="浙江省" class="c1" target="_blank">浙江省</a> <a href="/tags/1185/" title="浙江" class="c1" target="_blank">浙江</a>  <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1007/" title="浙江省" class="c1" target="_blank">浙江省</a> <a href="/tags/1185/" title="浙江" class="c1" target="_blank">浙江</a> , 所以 <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1007/" title="浙江省" class="c1" target="_blank">浙江省</a> <a href="/tags/1185/" title="浙江" class="c1" target="_blank">浙江</a> ,  <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1007/" title="浙江省" class="c1" target="_blank">浙江省</a> <a href="/tags/1185/" title="浙江" class="c1" target="_blank">浙江</a>
由于 <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1007/" title="浙江省" class="c1" target="_blank">浙江省</a> <a href="/tags/1185/" title="浙江" class="c1" target="_blank">浙江</a>
 <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1007/" title="浙江省" class="c1" target="_blank">浙江省</a> <a href="/tags/1185/" title="浙江" class="c1" target="_blank">浙江</a>
故答案为:1 <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1007/" title="浙江省" class="c1" target="_blank">浙江省</a> <a href="/tags/1185/" title="浙江" class="c1" target="_blank">浙江</a>

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

【解析】
不妨假设 <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1007/" title="浙江省" class="c1" target="_blank">浙江省</a> <a href="/tags/1185/" title="浙江" class="c1" target="_blank">浙江</a> ,根据图形可知, <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1007/" title="浙江省" class="c1" target="_blank">浙江省</a> <a href="/tags/1185/" title="浙江" class="c1" target="_blank">浙江</a> ,再根据同角三角函数基本关系即可求出 <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1007/" title="浙江省" class="c1" target="_blank">浙江省</a> <a href="/tags/1185/" title="浙江" class="c1" target="_blank">浙江</a> ;再根据椭圆的定义求出 <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1007/" title="浙江省" class="c1" target="_blank">浙江省</a> <a href="/tags/1185/" title="浙江" class="c1" target="_blank">浙江</a> ,即可求得离心率.
 <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1007/" title="浙江省" class="c1" target="_blank">浙江省</a> <a href="/tags/1185/" title="浙江" class="c1" target="_blank">浙江</a>
如图所示:不妨假设 <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1007/" title="浙江省" class="c1" target="_blank">浙江省</a> <a href="/tags/1185/" title="浙江" class="c1" target="_blank">浙江</a> ,设切点为 <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1007/" title="浙江省" class="c1" target="_blank">浙江省</a> <a href="/tags/1185/" title="浙江" class="c1" target="_blank">浙江</a>
 <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1007/" title="浙江省" class="c1" target="_blank">浙江省</a> <a href="/tags/1185/" title="浙江" class="c1" target="_blank">浙江</a>  <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1007/" title="浙江省" class="c1" target="_blank">浙江省</a> <a href="/tags/1185/" title="浙江" class="c1" target="_blank">浙江</a>
所以 <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1007/" title="浙江省" class="c1" target="_blank">浙江省</a> <a href="/tags/1185/" title="浙江" class="c1" target="_blank">浙江</a> ,  <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1007/" title="浙江省" class="c1" target="_blank">浙江省</a> <a href="/tags/1185/" title="浙江" class="c1" target="_blank">浙江</a> ,所以 <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1007/" title="浙江省" class="c1" target="_blank">浙江省</a> <a href="/tags/1185/" title="浙江" class="c1" target="_blank">浙江</a>  <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1007/" title="浙江省" class="c1" target="_blank">浙江省</a> <a href="/tags/1185/" title="浙江" class="c1" target="_blank">浙江</a>
于是 <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1007/" title="浙江省" class="c1" target="_blank">浙江省</a> <a href="/tags/1185/" title="浙江" class="c1" target="_blank">浙江</a> ,即 <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1007/" title="浙江省" class="c1" target="_blank">浙江省</a> <a href="/tags/1185/" title="浙江" class="c1" target="_blank">浙江</a> ,所以 <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1007/" title="浙江省" class="c1" target="_blank">浙江省</a> <a href="/tags/1185/" title="浙江" class="c1" target="_blank">浙江</a>
故答案为: <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1007/" title="浙江省" class="c1" target="_blank">浙江省</a> <a href="/tags/1185/" title="浙江" class="c1" target="_blank">浙江</a>  <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1007/" title="浙江省" class="c1" target="_blank">浙江省</a> <a href="/tags/1185/" title="浙江" class="c1" target="_blank">浙江</a>

18.1 <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1007/" title="浙江省" class="c1" target="_blank">浙江省</a> <a href="/tags/1185/" title="浙江" class="c1" target="_blank">浙江</a> ;(2 <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1007/" title="浙江省" class="c1" target="_blank">浙江省</a> <a href="/tags/1185/" title="浙江" class="c1" target="_blank">浙江</a> .

【解析】
1)由题意结合三角恒等变换可得 <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1007/" title="浙江省" class="c1" target="_blank">浙江省</a> <a href="/tags/1185/" title="浙江" class="c1" target="_blank">浙江</a> ,再由三角函数最小正周期公式即可得解;
2)由三角恒等变换可得 <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1007/" title="浙江省" class="c1" target="_blank">浙江省</a> <a href="/tags/1185/" title="浙江" class="c1" target="_blank">浙江</a> ,再由三角函数的图象与性质即可得解.
1)由辅助角公式得 <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1007/" title="浙江省" class="c1" target="_blank">浙江省</a> <a href="/tags/1185/" title="浙江" class="c1" target="_blank">浙江</a>
 <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1007/" title="浙江省" class="c1" target="_blank">浙江省</a> <a href="/tags/1185/" title="浙江" class="c1" target="_blank">浙江</a>
所以该函数的最小正周期 <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1007/" title="浙江省" class="c1" target="_blank">浙江省</a> <a href="/tags/1185/" title="浙江" class="c1" target="_blank">浙江</a> ;
2)由题意, <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1007/" title="浙江省" class="c1" target="_blank">浙江省</a> <a href="/tags/1185/" title="浙江" class="c1" target="_blank">浙江</a>
 <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1007/" title="浙江省" class="c1" target="_blank">浙江省</a> <a href="/tags/1185/" title="浙江" class="c1" target="_blank">浙江</a>
 <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1007/" title="浙江省" class="c1" target="_blank">浙江省</a> <a href="/tags/1185/" title="浙江" class="c1" target="_blank">浙江</a>
 <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1007/" title="浙江省" class="c1" target="_blank">浙江省</a> <a href="/tags/1185/" title="浙江" class="c1" target="_blank">浙江</a> 可得 <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1007/" title="浙江省" class="c1" target="_blank">浙江省</a> <a href="/tags/1185/" title="浙江" class="c1" target="_blank">浙江</a>
所以当 <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1007/" title="浙江省" class="c1" target="_blank">浙江省</a> <a href="/tags/1185/" title="浙江" class="c1" target="_blank">浙江</a>  <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1007/" title="浙江省" class="c1" target="_blank">浙江省</a> <a href="/tags/1185/" title="浙江" class="c1" target="_blank">浙江</a> 时,函数取最大值 <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1007/" title="浙江省" class="c1" target="_blank">浙江省</a> <a href="/tags/1185/" title="浙江" class="c1" target="_blank">浙江</a> .

19.1)证明见解析;(2 <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1007/" title="浙江省" class="c1" target="_blank">浙江省</a> <a href="/tags/1185/" title="浙江" class="c1" target="_blank">浙江</a>

【解析】
1)要证 <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1007/" title="浙江省" class="c1" target="_blank">浙江省</a> <a href="/tags/1185/" title="浙江" class="c1" target="_blank">浙江</a> ,可证 <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1007/" title="浙江省" class="c1" target="_blank">浙江省</a> <a href="/tags/1185/" title="浙江" class="c1" target="_blank">浙江</a> ,由题意可得, <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1007/" title="浙江省" class="c1" target="_blank">浙江省</a> <a href="/tags/1185/" title="浙江" class="c1" target="_blank">浙江</a> ,易证 <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1007/" title="浙江省" class="c1" target="_blank">浙江省</a> <a href="/tags/1185/" title="浙江" class="c1" target="_blank">浙江</a> ,从而 <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1007/" title="浙江省" class="c1" target="_blank">浙江省</a> <a href="/tags/1185/" title="浙江" class="c1" target="_blank">浙江</a> 平面 <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1007/" title="浙江省" class="c1" target="_blank">浙江省</a> <a href="/tags/1185/" title="浙江" class="c1" target="_blank">浙江</a> ,即有 <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1007/" title="浙江省" class="c1" target="_blank">浙江省</a> <a href="/tags/1185/" title="浙江" class="c1" target="_blank">浙江</a> ,从而得证;
2)取 <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1007/" title="浙江省" class="c1" target="_blank">浙江省</a> <a href="/tags/1185/" title="浙江" class="c1" target="_blank">浙江</a> 中点 <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1007/" title="浙江省" class="c1" target="_blank">浙江省</a> <a href="/tags/1185/" title="浙江" class="c1" target="_blank">浙江</a> ,根据题意可知, <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1007/" title="浙江省" class="c1" target="_blank">浙江省</a> <a href="/tags/1185/" title="浙江" class="c1" target="_blank">浙江</a> 两两垂直,所以以点 <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1007/" title="浙江省" class="c1" target="_blank">浙江省</a> <a href="/tags/1185/" title="浙江" class="c1" target="_blank">浙江</a> 为坐标原点,建立空间直角坐标系,再分别求出向量 <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1007/" title="浙江省" class="c1" target="_blank">浙江省</a> <a href="/tags/1185/" title="浙江" class="c1" target="_blank">浙江</a> 和平面 <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1007/" title="浙江省" class="c1" target="_blank">浙江省</a> <a href="/tags/1185/" title="浙江" class="c1" target="_blank">浙江</a> 的一个法向量,即可根据线面角的向量公式求出.
1)在 <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1007/" title="浙江省" class="c1" target="_blank">浙江省</a> <a href="/tags/1185/" title="浙江" class="c1" target="_blank">浙江</a> 中, <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1007/" title="浙江省" class="c1" target="_blank">浙江省</a> <a href="/tags/1185/" title="浙江" class="c1" target="_blank">浙江</a>  <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1007/" title="浙江省" class="c1" target="_blank">浙江省</a> <a href="/tags/1185/" title="浙江" class="c1" target="_blank">浙江</a>  <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1007/" title="浙江省" class="c1" target="_blank">浙江省</a> <a href="/tags/1185/" title="浙江" class="c1" target="_blank">浙江</a> ,由余弦定理可得 <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1007/" title="浙江省" class="c1" target="_blank">浙江省</a> <a href="/tags/1185/" title="浙江" class="c1" target="_blank">浙江</a>
所以 <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1007/" title="浙江省" class="c1" target="_blank">浙江省</a> <a href="/tags/1185/" title="浙江" class="c1" target="_blank">浙江</a>  <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1007/" title="浙江省" class="c1" target="_blank">浙江省</a> <a href="/tags/1185/" title="浙江" class="c1" target="_blank">浙江</a>  <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1007/" title="浙江省" class="c1" target="_blank">浙江省</a> <a href="/tags/1185/" title="浙江" class="c1" target="_blank">浙江</a> .由题意 <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1007/" title="浙江省" class="c1" target="_blank">浙江省</a> <a href="/tags/1185/" title="浙江" class="c1" target="_blank">浙江</a>  <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1007/" title="浙江省" class="c1" target="_blank">浙江省</a> <a href="/tags/1185/" title="浙江" class="c1" target="_blank">浙江</a>  <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1007/" title="浙江省" class="c1" target="_blank">浙江省</a> <a href="/tags/1185/" title="浙江" class="c1" target="_blank">浙江</a> 平面 <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1007/" title="浙江省" class="c1" target="_blank">浙江省</a> <a href="/tags/1185/" title="浙江" class="c1" target="_blank">浙江</a> ,而 <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1007/" title="浙江省" class="c1" target="_blank">浙江省</a> <a href="/tags/1185/" title="浙江" class="c1" target="_blank">浙江</a> 平面 <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1007/" title="浙江省" class="c1" target="_blank">浙江省</a> <a href="/tags/1185/" title="浙江" class="c1" target="_blank">浙江</a> ,所以 <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1007/" title="浙江省" class="c1" target="_blank">浙江省</a> <a href="/tags/1185/" title="浙江" class="c1" target="_blank">浙江</a> ,又 <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1007/" title="浙江省" class="c1" target="_blank">浙江省</a> <a href="/tags/1185/" title="浙江" class="c1" target="_blank">浙江</a> ,所以 <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1007/" title="浙江省" class="c1" target="_blank">浙江省</a> <a href="/tags/1185/" title="浙江" class="c1" target="_blank">浙江</a>
2)由 <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1007/" title="浙江省" class="c1" target="_blank">浙江省</a> <a href="/tags/1185/" title="浙江" class="c1" target="_blank">浙江</a>  <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1007/" title="浙江省" class="c1" target="_blank">浙江省</a> <a href="/tags/1185/" title="浙江" class="c1" target="_blank">浙江</a> ,而 <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1007/" title="浙江省" class="c1" target="_blank">浙江省</a> <a href="/tags/1185/" title="浙江" class="c1" target="_blank">浙江</a>  <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1007/" title="浙江省" class="c1" target="_blank">浙江省</a> <a href="/tags/1185/" title="浙江" class="c1" target="_blank">浙江</a> 相交,所以 <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1007/" title="浙江省" class="c1" target="_blank">浙江省</a> <a href="/tags/1185/" title="浙江" class="c1" target="_blank">浙江</a> 平面 <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1007/" title="浙江省" class="c1" target="_blank">浙江省</a> <a href="/tags/1185/" title="浙江" class="c1" target="_blank">浙江</a> ,因为 <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1007/" title="浙江省" class="c1" target="_blank">浙江省</a> <a href="/tags/1185/" title="浙江" class="c1" target="_blank">浙江</a> ,所以 <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1007/" title="浙江省" class="c1" target="_blank">浙江省</a> <a href="/tags/1185/" title="浙江" class="c1" target="_blank">浙江</a> ,取 <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1007/" title="浙江省" class="c1" target="_blank">浙江省</a> <a href="/tags/1185/" title="浙江" class="c1" target="_blank">浙江</a> 中点 <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1007/" title="浙江省" class="c1" target="_blank">浙江省</a> <a href="/tags/1185/" title="浙江" class="c1" target="_blank">浙江</a> ,连接 <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1007/" title="浙江省" class="c1" target="_blank">浙江省</a> <a href="/tags/1185/" title="浙江" class="c1" target="_blank">浙江</a> ,则 <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1007/" title="浙江省" class="c1" target="_blank">浙江省</a> <a href="/tags/1185/" title="浙江" class="c1" target="_blank">浙江</a> 两两垂直,以点 <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1007/" title="浙江省" class="c1" target="_blank">浙江省</a> <a href="/tags/1185/" title="浙江" class="c1" target="_blank">浙江</a> 为坐标原点,如图所示,建立空间直角坐标系,
 <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1007/" title="浙江省" class="c1" target="_blank">浙江省</a> <a href="/tags/1185/" title="浙江" class="c1" target="_blank">浙江</a> , <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1007/" title="浙江省" class="c1" target="_blank">浙江省</a> <a href="/tags/1185/" title="浙江" class="c1" target="_blank">浙江</a>
 <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1007/" title="浙江省" class="c1" target="_blank">浙江省</a> <a href="/tags/1185/" title="浙江" class="c1" target="_blank">浙江</a>  <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1007/" title="浙江省" class="c1" target="_blank">浙江省</a> <a href="/tags/1185/" title="浙江" class="c1" target="_blank">浙江</a> 中点,所以 <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1007/" title="浙江省" class="c1" target="_blank">浙江省</a> <a href="/tags/1185/" title="浙江" class="c1" target="_blank">浙江</a> .
由(1)得 <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1007/" title="浙江省" class="c1" target="_blank">浙江省</a> <a href="/tags/1185/" title="浙江" class="c1" target="_blank">浙江</a> 平面 <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1007/" title="浙江省" class="c1" target="_blank">浙江省</a> <a href="/tags/1185/" title="浙江" class="c1" target="_blank">浙江</a> ,所以平面 <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1007/" title="浙江省" class="c1" target="_blank">浙江省</a> <a href="/tags/1185/" title="浙江" class="c1" target="_blank">浙江</a> 的一个法向量 <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1007/" title="浙江省" class="c1" target="_blank">浙江省</a> <a href="/tags/1185/" title="浙江" class="c1" target="_blank">浙江</a>
从而直线 <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1007/" title="浙江省" class="c1" target="_blank">浙江省</a> <a href="/tags/1185/" title="浙江" class="c1" target="_blank">浙江</a> 与平面 <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1007/" title="浙江省" class="c1" target="_blank">浙江省</a> <a href="/tags/1185/" title="浙江" class="c1" target="_blank">浙江</a> 所成角的正弦值为 <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1007/" title="浙江省" class="c1" target="_blank">浙江省</a> <a href="/tags/1185/" title="浙江" class="c1" target="_blank">浙江</a>
 <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1007/" title="浙江省" class="c1" target="_blank">浙江省</a> <a href="/tags/1185/" title="浙江" class="c1" target="_blank">浙江</a>

20.1 <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1007/" title="浙江省" class="c1" target="_blank">浙江省</a> <a href="/tags/1185/" title="浙江" class="c1" target="_blank">浙江</a> ;(2 <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1007/" title="浙江省" class="c1" target="_blank">浙江省</a> <a href="/tags/1185/" title="浙江" class="c1" target="_blank">浙江</a> .

【解析】
1)由 <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1007/" title="浙江省" class="c1" target="_blank">浙江省</a> <a href="/tags/1185/" title="浙江" class="c1" target="_blank">浙江</a> ,结合 <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1007/" title="浙江省" class="c1" target="_blank">浙江省</a> <a href="/tags/1185/" title="浙江" class="c1" target="_blank">浙江</a>  <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1007/" title="浙江省" class="c1" target="_blank">浙江省</a> <a href="/tags/1185/" title="浙江" class="c1" target="_blank">浙江</a> 的关系,分 <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1007/" title="浙江省" class="c1" target="_blank">浙江省</a> <a href="/tags/1185/" title="浙江" class="c1" target="_blank">浙江</a> 讨论,得到数列 <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1007/" title="浙江省" class="c1" target="_blank">浙江省</a> <a href="/tags/1185/" title="浙江" class="c1" target="_blank">浙江</a> 为等比数列,即可得出结论;
2)由 <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1007/" title="浙江省" class="c1" target="_blank">浙江省</a> <a href="/tags/1185/" title="浙江" class="c1" target="_blank">浙江</a> 结合 <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1007/" title="浙江省" class="c1" target="_blank">浙江省</a> <a href="/tags/1185/" title="浙江" class="c1" target="_blank">浙江</a> 的结论,利用错位相减法求出 <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1007/" title="浙江省" class="c1" target="_blank">浙江省</a> <a href="/tags/1185/" title="浙江" class="c1" target="_blank">浙江</a>  <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1007/" title="浙江省" class="c1" target="_blank">浙江省</a> <a href="/tags/1185/" title="浙江" class="c1" target="_blank">浙江</a> 对任意 <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1007/" title="浙江省" class="c1" target="_blank">浙江省</a> <a href="/tags/1185/" title="浙江" class="c1" target="_blank">浙江</a> 恒成立,分类讨论分离参数 <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1007/" title="浙江省" class="c1" target="_blank">浙江省</a> <a href="/tags/1185/" title="浙江" class="c1" target="_blank">浙江</a> ,转化为 <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1007/" title="浙江省" class="c1" target="_blank">浙江省</a> <a href="/tags/1185/" title="浙江" class="c1" target="_blank">浙江</a> 与关于 <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1007/" title="浙江省" class="c1" target="_blank">浙江省</a> <a href="/tags/1185/" title="浙江" class="c1" target="_blank">浙江</a> 的函数的范围关系,即可求解.
1)当 <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1007/" title="浙江省" class="c1" target="_blank">浙江省</a> <a href="/tags/1185/" title="浙江" class="c1" target="_blank">浙江</a> 时, <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1007/" title="浙江省" class="c1" target="_blank">浙江省</a> <a href="/tags/1185/" title="浙江" class="c1" target="_blank">浙江</a>
 <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1007/" title="浙江省" class="c1" target="_blank">浙江省</a> <a href="/tags/1185/" title="浙江" class="c1" target="_blank">浙江</a>
 <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1007/" title="浙江省" class="c1" target="_blank">浙江省</a> <a href="/tags/1185/" title="浙江" class="c1" target="_blank">浙江</a> 时,由 <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1007/" title="浙江省" class="c1" target="_blank">浙江省</a> <a href="/tags/1185/" title="浙江" class="c1" target="_blank">浙江</a> ①,
 <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1007/" title="浙江省" class="c1" target="_blank">浙江省</a> <a href="/tags/1185/" title="浙江" class="c1" target="_blank">浙江</a> ②,① <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1007/" title="浙江省" class="c1" target="_blank">浙江省</a> <a href="/tags/1185/" title="浙江" class="c1" target="_blank">浙江</a> ②得 <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1007/" title="浙江省" class="c1" target="_blank">浙江省</a> <a href="/tags/1185/" title="浙江" class="c1" target="_blank">浙江</a>
 <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1007/" title="浙江省" class="c1" target="_blank">浙江省</a> <a href="/tags/1185/" title="浙江" class="c1" target="_blank">浙江</a>
 <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1007/" title="浙江省" class="c1" target="_blank">浙江省</a> <a href="/tags/1185/" title="浙江" class="c1" target="_blank">浙江</a> 是首项为 <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1007/" title="浙江省" class="c1" target="_blank">浙江省</a> <a href="/tags/1185/" title="浙江" class="c1" target="_blank">浙江</a> ,公比为 <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1007/" title="浙江省" class="c1" target="_blank">浙江省</a> <a href="/tags/1185/" title="浙江" class="c1" target="_blank">浙江</a> 的等比数列,
 <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1007/" title="浙江省" class="c1" target="_blank">浙江省</a> <a href="/tags/1185/" title="浙江" class="c1" target="_blank">浙江</a>
2)由 <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1007/" title="浙江省" class="c1" target="_blank">浙江省</a> <a href="/tags/1185/" title="浙江" class="c1" target="_blank">浙江</a> ,得 <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1007/" title="浙江省" class="c1" target="_blank">浙江省</a> <a href="/tags/1185/" title="浙江" class="c1" target="_blank">浙江</a>
所以 <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1007/" title="浙江省" class="c1" target="_blank">浙江省</a> <a href="/tags/1185/" title="浙江" class="c1" target="_blank">浙江</a>
 <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1007/" title="浙江省" class="c1" target="_blank">浙江省</a> <a href="/tags/1185/" title="浙江" class="c1" target="_blank">浙江</a>
两式相减得 <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1007/" title="浙江省" class="c1" target="_blank">浙江省</a> <a href="/tags/1185/" title="浙江" class="c1" target="_blank">浙江</a>
 <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1007/" title="浙江省" class="c1" target="_blank">浙江省</a> <a href="/tags/1185/" title="浙江" class="c1" target="_blank">浙江</a>
 <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1007/" title="浙江省" class="c1" target="_blank">浙江省</a> <a href="/tags/1185/" title="浙江" class="c1" target="_blank">浙江</a>
所以 <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1007/" title="浙江省" class="c1" target="_blank">浙江省</a> <a href="/tags/1185/" title="浙江" class="c1" target="_blank">浙江</a>
 <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1007/" title="浙江省" class="c1" target="_blank">浙江省</a> <a href="/tags/1185/" title="浙江" class="c1" target="_blank">浙江</a>  <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1007/" title="浙江省" class="c1" target="_blank">浙江省</a> <a href="/tags/1185/" title="浙江" class="c1" target="_blank">浙江</a> 恒成立,
 <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1007/" title="浙江省" class="c1" target="_blank">浙江省</a> <a href="/tags/1185/" title="浙江" class="c1" target="_blank">浙江</a> 恒成立,
 <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1007/" title="浙江省" class="c1" target="_blank">浙江省</a> <a href="/tags/1185/" title="浙江" class="c1" target="_blank">浙江</a> 时不等式恒成立;
 <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1007/" title="浙江省" class="c1" target="_blank">浙江省</a> <a href="/tags/1185/" title="浙江" class="c1" target="_blank">浙江</a> 时, <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1007/" title="浙江省" class="c1" target="_blank">浙江省</a> <a href="/tags/1185/" title="浙江" class="c1" target="_blank">浙江</a> ,得 <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1007/" title="浙江省" class="c1" target="_blank">浙江省</a> <a href="/tags/1185/" title="浙江" class="c1" target="_blank">浙江</a>
 <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1007/" title="浙江省" class="c1" target="_blank">浙江省</a> <a href="/tags/1185/" title="浙江" class="c1" target="_blank">浙江</a> 时, <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1007/" title="浙江省" class="c1" target="_blank">浙江省</a> <a href="/tags/1185/" title="浙江" class="c1" target="_blank">浙江</a> ,得 <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1007/" title="浙江省" class="c1" target="_blank">浙江省</a> <a href="/tags/1185/" title="浙江" class="c1" target="_blank">浙江</a>
所以 <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1007/" title="浙江省" class="c1" target="_blank">浙江省</a> <a href="/tags/1185/" title="浙江" class="c1" target="_blank">浙江</a> .

21.1 <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1007/" title="浙江省" class="c1" target="_blank">浙江省</a> <a href="/tags/1185/" title="浙江" class="c1" target="_blank">浙江</a> ;(2 <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1007/" title="浙江省" class="c1" target="_blank">浙江省</a> <a href="/tags/1185/" title="浙江" class="c1" target="_blank">浙江</a> .

【解析】
1)求出 <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1007/" title="浙江省" class="c1" target="_blank">浙江省</a> <a href="/tags/1185/" title="浙江" class="c1" target="_blank">浙江</a> 的值后可求抛物线的方程.
2)设 <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1007/" title="浙江省" class="c1" target="_blank">浙江省</a> <a href="/tags/1185/" title="浙江" class="c1" target="_blank">浙江</a>  <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1007/" title="浙江省" class="c1" target="_blank">浙江省</a> <a href="/tags/1185/" title="浙江" class="c1" target="_blank">浙江</a>  <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1007/" title="浙江省" class="c1" target="_blank">浙江省</a> <a href="/tags/1185/" title="浙江" class="c1" target="_blank">浙江</a> ,联立直线 <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1007/" title="浙江省" class="c1" target="_blank">浙江省</a> <a href="/tags/1185/" title="浙江" class="c1" target="_blank">浙江</a> 的方程和抛物线的方程后可得 <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1007/" title="浙江省" class="c1" target="_blank">浙江省</a> <a href="/tags/1185/" title="浙江" class="c1" target="_blank">浙江</a> ,求出直线 <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1007/" title="浙江省" class="c1" target="_blank">浙江省</a> <a href="/tags/1185/" title="浙江" class="c1" target="_blank">浙江</a> 的方程,联立各直线方程可求出 <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1007/" title="浙江省" class="c1" target="_blank">浙江省</a> <a href="/tags/1185/" title="浙江" class="c1" target="_blank">浙江</a> ,根据题设条件可得 <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1007/" title="浙江省" class="c1" target="_blank">浙江省</a> <a href="/tags/1185/" title="浙江" class="c1" target="_blank">浙江</a> ,从而可求 <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1007/" title="浙江省" class="c1" target="_blank">浙江省</a> <a href="/tags/1185/" title="浙江" class="c1" target="_blank">浙江</a> 的范围.
1)因为 <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1007/" title="浙江省" class="c1" target="_blank">浙江省</a> <a href="/tags/1185/" title="浙江" class="c1" target="_blank">浙江</a> ,故 <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1007/" title="浙江省" class="c1" target="_blank">浙江省</a> <a href="/tags/1185/" title="浙江" class="c1" target="_blank">浙江</a> ,故抛物线的方程为: <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1007/" title="浙江省" class="c1" target="_blank">浙江省</a> <a href="/tags/1185/" title="浙江" class="c1" target="_blank">浙江</a> .
2)设 <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1007/" title="浙江省" class="c1" target="_blank">浙江省</a> <a href="/tags/1185/" title="浙江" class="c1" target="_blank">浙江</a>  <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1007/" title="浙江省" class="c1" target="_blank">浙江省</a> <a href="/tags/1185/" title="浙江" class="c1" target="_blank">浙江</a>  <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1007/" title="浙江省" class="c1" target="_blank">浙江省</a> <a href="/tags/1185/" title="浙江" class="c1" target="_blank">浙江</a>
所以直线 <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1007/" title="浙江省" class="c1" target="_blank">浙江省</a> <a href="/tags/1185/" title="浙江" class="c1" target="_blank">浙江</a> ,由题设可得 <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1007/" title="浙江省" class="c1" target="_blank">浙江省</a> <a href="/tags/1185/" title="浙江" class="c1" target="_blank">浙江</a>  <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1007/" title="浙江省" class="c1" target="_blank">浙江省</a> <a href="/tags/1185/" title="浙江" class="c1" target="_blank">浙江</a> .
 <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1007/" title="浙江省" class="c1" target="_blank">浙江省</a> <a href="/tags/1185/" title="浙江" class="c1" target="_blank">浙江</a> 可得 <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1007/" title="浙江省" class="c1" target="_blank">浙江省</a> <a href="/tags/1185/" title="浙江" class="c1" target="_blank">浙江</a> ,故 <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1007/" title="浙江省" class="c1" target="_blank">浙江省</a> <a href="/tags/1185/" title="浙江" class="c1" target="_blank">浙江</a>
因为 <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1007/" title="浙江省" class="c1" target="_blank">浙江省</a> <a href="/tags/1185/" title="浙江" class="c1" target="_blank">浙江</a> ,故 <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1007/" title="浙江省" class="c1" target="_blank">浙江省</a> <a href="/tags/1185/" title="浙江" class="c1" target="_blank">浙江</a> ,故 <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1007/" title="浙江省" class="c1" target="_blank">浙江省</a> <a href="/tags/1185/" title="浙江" class="c1" target="_blank">浙江</a> .
 <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1007/" title="浙江省" class="c1" target="_blank">浙江省</a> <a href="/tags/1185/" title="浙江" class="c1" target="_blank">浙江</a> ,由 <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1007/" title="浙江省" class="c1" target="_blank">浙江省</a> <a href="/tags/1185/" title="浙江" class="c1" target="_blank">浙江</a> 可得 <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1007/" title="浙江省" class="c1" target="_blank">浙江省</a> <a href="/tags/1185/" title="浙江" class="c1" target="_blank">浙江</a>
同理 <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1007/" title="浙江省" class="c1" target="_blank">浙江省</a> <a href="/tags/1185/" title="浙江" class="c1" target="_blank">浙江</a>
 <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1007/" title="浙江省" class="c1" target="_blank">浙江省</a> <a href="/tags/1185/" title="浙江" class="c1" target="_blank">浙江</a> 可得 <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1007/" title="浙江省" class="c1" target="_blank">浙江省</a> <a href="/tags/1185/" title="浙江" class="c1" target="_blank">浙江</a>
所以 <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1007/" title="浙江省" class="c1" target="_blank">浙江省</a> <a href="/tags/1185/" title="浙江" class="c1" target="_blank">浙江</a>
整理得到 <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1007/" title="浙江省" class="c1" target="_blank">浙江省</a> <a href="/tags/1185/" title="浙江" class="c1" target="_blank">浙江</a>
 <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1007/" title="浙江省" class="c1" target="_blank">浙江省</a> <a href="/tags/1185/" title="浙江" class="c1" target="_blank">浙江</a>
 <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1007/" title="浙江省" class="c1" target="_blank">浙江省</a> <a href="/tags/1185/" title="浙江" class="c1" target="_blank">浙江</a>
 <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1007/" title="浙江省" class="c1" target="_blank">浙江省</a> <a href="/tags/1185/" title="浙江" class="c1" target="_blank">浙江</a>
 <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1007/" title="浙江省" class="c1" target="_blank">浙江省</a> <a href="/tags/1185/" title="浙江" class="c1" target="_blank">浙江</a> ,则 <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1007/" title="浙江省" class="c1" target="_blank">浙江省</a> <a href="/tags/1185/" title="浙江" class="c1" target="_blank">浙江</a>  <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1007/" title="浙江省" class="c1" target="_blank">浙江省</a> <a href="/tags/1185/" title="浙江" class="c1" target="_blank">浙江</a>
 <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1007/" title="浙江省" class="c1" target="_blank">浙江省</a> <a href="/tags/1185/" title="浙江" class="c1" target="_blank">浙江</a>
 <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1007/" title="浙江省" class="c1" target="_blank">浙江省</a> <a href="/tags/1185/" title="浙江" class="c1" target="_blank">浙江</a>  <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1007/" title="浙江省" class="c1" target="_blank">浙江省</a> <a href="/tags/1185/" title="浙江" class="c1" target="_blank">浙江</a>
解得 <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1007/" title="浙江省" class="c1" target="_blank">浙江省</a> <a href="/tags/1185/" title="浙江" class="c1" target="_blank">浙江</a>  <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1007/" title="浙江省" class="c1" target="_blank">浙江省</a> <a href="/tags/1185/" title="浙江" class="c1" target="_blank">浙江</a>  <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1007/" title="浙江省" class="c1" target="_blank">浙江省</a> <a href="/tags/1185/" title="浙江" class="c1" target="_blank">浙江</a> .
故直线 <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1007/" title="浙江省" class="c1" target="_blank">浙江省</a> <a href="/tags/1185/" title="浙江" class="c1" target="_blank">浙江</a>  <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1007/" title="浙江省" class="c1" target="_blank">浙江省</a> <a href="/tags/1185/" title="浙江" class="c1" target="_blank">浙江</a> 轴上的截距的范围为 <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1007/" title="浙江省" class="c1" target="_blank">浙江省</a> <a href="/tags/1185/" title="浙江" class="c1" target="_blank">浙江</a>  <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1007/" title="浙江省" class="c1" target="_blank">浙江省</a> <a href="/tags/1185/" title="浙江" class="c1" target="_blank">浙江</a>  <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1007/" title="浙江省" class="c1" target="_blank">浙江省</a> <a href="/tags/1185/" title="浙江" class="c1" target="_blank">浙江</a> .

22.(1) <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1007/" title="浙江省" class="c1" target="_blank">浙江省</a> <a href="/tags/1185/" title="浙江" class="c1" target="_blank">浙江</a> 时, <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1007/" title="浙江省" class="c1" target="_blank">浙江省</a> <a href="/tags/1185/" title="浙江" class="c1" target="_blank">浙江</a>  <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1007/" title="浙江省" class="c1" target="_blank">浙江省</a> <a href="/tags/1185/" title="浙江" class="c1" target="_blank">浙江</a> 上单调递增; <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1007/" title="浙江省" class="c1" target="_blank">浙江省</a> <a href="/tags/1185/" title="浙江" class="c1" target="_blank">浙江</a> 时,函数的单调减区间为 <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1007/" title="浙江省" class="c1" target="_blank">浙江省</a> <a href="/tags/1185/" title="浙江" class="c1" target="_blank">浙江</a> ,单调增区间为 <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1007/" title="浙江省" class="c1" target="_blank">浙江省</a> <a href="/tags/1185/" title="浙江" class="c1" target="_blank">浙江</a>
(2)
 <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1007/" title="浙江省" class="c1" target="_blank">浙江省</a> <a href="/tags/1185/" title="浙江" class="c1" target="_blank">浙江</a>
(3)
证明见解析.

【解析】
(1)
首先求得导函数的解析式,然后分类讨论即可确定函数的单调性;
(2)
将原问题进行等价转化,然后构造新函数,利用导函数研究函数的性质并进行放缩即可确定实数a的取值范围;
(3)
结合(2)的结论将原问题进行等价变形,然后利用分析法即可证得题中的结论成立.
(1)
 <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1007/" title="浙江省" class="c1" target="_blank">浙江省</a> <a href="/tags/1185/" title="浙江" class="c1" target="_blank">浙江</a>
 <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1007/" title="浙江省" class="c1" target="_blank">浙江省</a> <a href="/tags/1185/" title="浙江" class="c1" target="_blank">浙江</a> ,则 <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1007/" title="浙江省" class="c1" target="_blank">浙江省</a> <a href="/tags/1185/" title="浙江" class="c1" target="_blank">浙江</a> ,所以 <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1007/" title="浙江省" class="c1" target="_blank">浙江省</a> <a href="/tags/1185/" title="浙江" class="c1" target="_blank">浙江</a>  <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1007/" title="浙江省" class="c1" target="_blank">浙江省</a> <a href="/tags/1185/" title="浙江" class="c1" target="_blank">浙江</a> 上单调递增;
 <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1007/" title="浙江省" class="c1" target="_blank">浙江省</a> <a href="/tags/1185/" title="浙江" class="c1" target="_blank">浙江</a>
 <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1007/" title="浙江省" class="c1" target="_blank">浙江省</a> <a href="/tags/1185/" title="浙江" class="c1" target="_blank">浙江</a> 时, <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1007/" title="浙江省" class="c1" target="_blank">浙江省</a> <a href="/tags/1185/" title="浙江" class="c1" target="_blank">浙江</a> 单调递减,
 <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1007/" title="浙江省" class="c1" target="_blank">浙江省</a> <a href="/tags/1185/" title="浙江" class="c1" target="_blank">浙江</a> 时, <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1007/" title="浙江省" class="c1" target="_blank">浙江省</a> <a href="/tags/1185/" title="浙江" class="c1" target="_blank">浙江</a> 单调递增.
综上可得, <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1007/" title="浙江省" class="c1" target="_blank">浙江省</a> <a href="/tags/1185/" title="浙江" class="c1" target="_blank">浙江</a> 时, <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1007/" title="浙江省" class="c1" target="_blank">浙江省</a> <a href="/tags/1185/" title="浙江" class="c1" target="_blank">浙江</a>  <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1007/" title="浙江省" class="c1" target="_blank">浙江省</a> <a href="/tags/1185/" title="浙江" class="c1" target="_blank">浙江</a> 上单调递增;
 <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1007/" title="浙江省" class="c1" target="_blank">浙江省</a> <a href="/tags/1185/" title="浙江" class="c1" target="_blank">浙江</a> 时,函数的单调减区间为 <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1007/" title="浙江省" class="c1" target="_blank">浙江省</a> <a href="/tags/1185/" title="浙江" class="c1" target="_blank">浙江</a> ,单调增区间为 <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1007/" title="浙江省" class="c1" target="_blank">浙江省</a> <a href="/tags/1185/" title="浙江" class="c1" target="_blank">浙江</a> .
(2)
 <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1007/" title="浙江省" class="c1" target="_blank">浙江省</a> <a href="/tags/1185/" title="浙江" class="c1" target="_blank">浙江</a> 2个不同零点 <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1007/" title="浙江省" class="c1" target="_blank">浙江省</a> <a href="/tags/1185/" title="浙江" class="c1" target="_blank">浙江</a> 2个不同解 <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1007/" title="浙江省" class="c1" target="_blank">浙江省</a> <a href="/tags/1185/" title="浙江" class="c1" target="_blank">浙江</a> 2个不同的解,
 <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1007/" title="浙江省" class="c1" target="_blank">浙江省</a> <a href="/tags/1185/" title="浙江" class="c1" target="_blank">浙江</a> ,则 <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1007/" title="浙江省" class="c1" target="_blank">浙江省</a> <a href="/tags/1185/" title="浙江" class="c1" target="_blank">浙江</a>
 <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1007/" title="浙江省" class="c1" target="_blank">浙江省</a> <a href="/tags/1185/" title="浙江" class="c1" target="_blank">浙江</a>
 <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1007/" title="浙江省" class="c1" target="_blank">浙江省</a> <a href="/tags/1185/" title="浙江" class="c1" target="_blank">浙江</a>
 <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1007/" title="浙江省" class="c1" target="_blank">浙江省</a> <a href="/tags/1185/" title="浙江" class="c1" target="_blank">浙江</a> ,所以 <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1007/" title="浙江省" class="c1" target="_blank">浙江省</a> <a href="/tags/1185/" title="浙江" class="c1" target="_blank">浙江</a> 时, <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1007/" title="浙江省" class="c1" target="_blank">浙江省</a> <a href="/tags/1185/" title="浙江" class="c1" target="_blank">浙江</a> 时, <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1007/" title="浙江省" class="c1" target="_blank">浙江省</a> <a href="/tags/1185/" title="浙江" class="c1" target="_blank">浙江</a>
 <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1007/" title="浙江省" class="c1" target="_blank">浙江省</a> <a href="/tags/1185/" title="浙江" class="c1" target="_blank">浙江</a>  <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1007/" title="浙江省" class="c1" target="_blank">浙江省</a> <a href="/tags/1185/" title="浙江" class="c1" target="_blank">浙江</a> 单调递减, <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1007/" title="浙江省" class="c1" target="_blank">浙江省</a> <a href="/tags/1185/" title="浙江" class="c1" target="_blank">浙江</a> 单调递增, <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1007/" title="浙江省" class="c1" target="_blank">浙江省</a> <a href="/tags/1185/" title="浙江" class="c1" target="_blank">浙江</a>
 <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1007/" title="浙江省" class="c1" target="_blank">浙江省</a> <a href="/tags/1185/" title="浙江" class="c1" target="_blank">浙江</a> .
即实数 <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1007/" title="浙江省" class="c1" target="_blank">浙江省</a> <a href="/tags/1185/" title="浙江" class="c1" target="_blank">浙江</a> 的取值范围是 <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1007/" title="浙江省" class="c1" target="_blank">浙江省</a> <a href="/tags/1185/" title="浙江" class="c1" target="_blank">浙江</a> .
(3)
 <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1007/" title="浙江省" class="c1" target="_blank">浙江省</a> <a href="/tags/1185/" title="浙江" class="c1" target="_blank">浙江</a> 2个不同零点,则 <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1007/" title="浙江省" class="c1" target="_blank">浙江省</a> <a href="/tags/1185/" title="浙江" class="c1" target="_blank">浙江</a> ,故函数的零点一定为正数.
(2)可知有2个不同零点,记较大者为 <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1007/" title="浙江省" class="c1" target="_blank">浙江省</a> <a href="/tags/1185/" title="浙江" class="c1" target="_blank">浙江</a> ,较小者为 <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1007/" title="浙江省" class="c1" target="_blank">浙江省</a> <a href="/tags/1185/" title="浙江" class="c1" target="_blank">浙江</a>
 <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1007/" title="浙江省" class="c1" target="_blank">浙江省</a> <a href="/tags/1185/" title="浙江" class="c1" target="_blank">浙江</a>
注意到函数 <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1007/" title="浙江省" class="c1" target="_blank">浙江省</a> <a href="/tags/1185/" title="浙江" class="c1" target="_blank">浙江</a> 在区间 <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1007/" title="浙江省" class="c1" target="_blank">浙江省</a> <a href="/tags/1185/" title="浙江" class="c1" target="_blank">浙江</a> 上单调递减,在区间 <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1007/" title="浙江省" class="c1" target="_blank">浙江省</a> <a href="/tags/1185/" title="浙江" class="c1" target="_blank">浙江</a> 上单调递增,
 <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1007/" title="浙江省" class="c1" target="_blank">浙江省</a> <a href="/tags/1185/" title="浙江" class="c1" target="_blank">浙江</a> ,又由 <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1007/" title="浙江省" class="c1" target="_blank">浙江省</a> <a href="/tags/1185/" title="浙江" class="c1" target="_blank">浙江</a>  <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1007/" title="浙江省" class="c1" target="_blank">浙江省</a> <a href="/tags/1185/" title="浙江" class="c1" target="_blank">浙江</a>
 <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1007/" title="浙江省" class="c1" target="_blank">浙江省</a> <a href="/tags/1185/" title="浙江" class="c1" target="_blank">浙江</a>
要证 <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1007/" title="浙江省" class="c1" target="_blank">浙江省</a> <a href="/tags/1185/" title="浙江" class="c1" target="_blank">浙江</a> ,只需 <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1007/" title="浙江省" class="c1" target="_blank">浙江省</a> <a href="/tags/1185/" title="浙江" class="c1" target="_blank">浙江</a>
 <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1007/" title="浙江省" class="c1" target="_blank">浙江省</a> <a href="/tags/1185/" title="浙江" class="c1" target="_blank">浙江</a> 且关于 <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1007/" title="浙江省" class="c1" target="_blank">浙江省</a> <a href="/tags/1185/" title="浙江" class="c1" target="_blank">浙江</a> 的函数 <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1007/" title="浙江省" class="c1" target="_blank">浙江省</a> <a href="/tags/1185/" title="浙江" class="c1" target="_blank">浙江</a>  <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1007/" title="浙江省" class="c1" target="_blank">浙江省</a> <a href="/tags/1185/" title="浙江" class="c1" target="_blank">浙江</a> 上单调递增,
所以只需证 <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1007/" title="浙江省" class="c1" target="_blank">浙江省</a> <a href="/tags/1185/" title="浙江" class="c1" target="_blank">浙江</a>
只需证 <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1007/" title="浙江省" class="c1" target="_blank">浙江省</a> <a href="/tags/1185/" title="浙江" class="c1" target="_blank">浙江</a>
只需证 <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1007/" title="浙江省" class="c1" target="_blank">浙江省</a> <a href="/tags/1185/" title="浙江" class="c1" target="_blank">浙江</a>
 <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1007/" title="浙江省" class="c1" target="_blank">浙江省</a> <a href="/tags/1185/" title="浙江" class="c1" target="_blank">浙江</a> ,只需证 <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1007/" title="浙江省" class="c1" target="_blank">浙江省</a> <a href="/tags/1185/" title="浙江" class="c1" target="_blank">浙江</a>  <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1007/" title="浙江省" class="c1" target="_blank">浙江省</a> <a href="/tags/1185/" title="浙江" class="c1" target="_blank">浙江</a> 时为正,
由于 <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1007/" title="浙江省" class="c1" target="_blank">浙江省</a> <a href="/tags/1185/" title="浙江" class="c1" target="_blank">浙江</a> ,故函数 <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1007/" title="浙江省" class="c1" target="_blank">浙江省</a> <a href="/tags/1185/" title="浙江" class="c1" target="_blank">浙江</a> 单调递增,
 <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1007/" title="浙江省" class="c1" target="_blank">浙江省</a> <a href="/tags/1185/" title="浙江" class="c1" target="_blank">浙江</a> ,故 <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1007/" title="浙江省" class="c1" target="_blank">浙江省</a> <a href="/tags/1185/" title="浙江" class="c1" target="_blank">浙江</a>  <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/1007/" title="浙江省" class="c1" target="_blank">浙江省</a> <a href="/tags/1185/" title="浙江" class="c1" target="_blank">浙江</a> 时为正,
从而题中的不等式得证.


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