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试卷年份:{{getYear('高三|高考模拟|河北|2017年')}}上传日期:2017-04-22题数:23
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题号:3526183
题型:选择题
难易度:较易
日期:2017-04-22
来源:河北省唐山市2016-2017学年度高三年级第二次模拟考试理科数学试题
题号:3526184
题型:选择题
难易度:较易
日期:2017-04-22
来源:河北省唐山市2016-2017学年度高三年级第二次模拟考试理科数学试题
题号:3526185
题型:选择题
难易度:较易
日期:2017-04-22
来源:河北省唐山市2016-2017学年度高三年级第二次模拟考试理科数学试题
【题文】如图是八位同学400米测试成绩的茎叶图(单位:秒),则( )
![](http://static.zujuan.xkw.com/Upload/2017-04/22/b79f4322-2b66-43d1-9338-24496bae8960/paper.files/image021.png)
A.平均数为64 | B.众数为7 | C.极差为17 | D.中位数为64.5 |
题号:3526186
题型:选择题
难易度:较易
日期:2017-04-22
来源:河北省唐山市2016-2017学年度高三年级第二次模拟考试理科数学试题
【题文】“
![](http://static.zujuan.xkw.com/Upload/2017-04/22/b79f4322-2b66-43d1-9338-24496bae8960/paper.files/image027.png)
”是“
![](http://static.zujuan.xkw.com/Upload/2017-04/22/b79f4322-2b66-43d1-9338-24496bae8960/paper.files/image028.png)
”的( )
A.充分不必要条件 | B.必要不充分条件 | C.充要条件 | D.既不充分也不必要条件 |
题号:3526187
题型:选择题
难易度:较易
日期:2017-04-22
来源:河北省唐山市2016-2017学年度高三年级第二次模拟考试理科数学试题
【题文】一个几何体的三视图如图所示,该几何体的表面积为( )
![](http://static.zujuan.xkw.com/Upload/2017-04/22/b79f4322-2b66-43d1-9338-24496bae8960/paper.files/image031.png)
题号:3526188
题型:选择题
难易度:较易
日期:2017-04-22
来源:河北省唐山市2016-2017学年度高三年级第二次模拟考试理科数学试题
【题文】已知双曲线过点
![](http://static.zujuan.xkw.com/Upload/2017-04/22/b79f4322-2b66-43d1-9338-24496bae8960/paper.files/image038.png)
,渐进线方程为
![](http://static.zujuan.xkw.com/Upload/2017-04/22/b79f4322-2b66-43d1-9338-24496bae8960/paper.files/image039.png)
,则双曲线的标准方程是( )
题号:3526189
题型:选择题
难易度:较易
日期:2017-04-17
来源:河北省唐山市2016-2017学年度高三年级第二次模拟考试理科数学试题
题号:3526190
题型:选择题
难易度:容易
日期:2017-04-17
来源:河北省唐山市2016-2017学年度高三年级第二次模拟考试理科数学试题
【题文】执行如图所示的程序框图,若输入的
![](http://static.zujuan.xkw.com/Upload/2017-04/17/47e81905-0fee-47c9-b200-0e4316f3c173/paper.files/image072.png)
,则输出的结果为( )
![](http://static.zujuan.xkw.com/Upload/2017-04/17/47e81905-0fee-47c9-b200-0e4316f3c173/paper.files/image073.png)
题号:3526191
题型:选择题
难易度:一般
日期:2017-04-22
来源:河北省唐山市2016-2017学年度高三年级第二次模拟考试理科数学试题
题号:3526193
题型:选择题
难易度:一般
日期:2017-04-22
来源:河北省唐山市2016-2017学年度高三年级第二次模拟考试理科数学试题
【题文】正方体
![](http://static.zujuan.xkw.com/Upload/2017-04/22/b79f4322-2b66-43d1-9338-24496bae8960/paper.files/image090.png)
棱长为6,
![](http://static.zujuan.xkw.com/Upload/2017-04/22/b79f4322-2b66-43d1-9338-24496bae8960/paper.files/image091.png)
点在棱
![](http://static.zujuan.xkw.com/Upload/2017-04/22/b79f4322-2b66-43d1-9338-24496bae8960/paper.files/image092.png)
上,且
![](http://static.zujuan.xkw.com/Upload/2017-04/22/b79f4322-2b66-43d1-9338-24496bae8960/paper.files/image093.png)
,过
![](http://static.zujuan.xkw.com/Upload/2017-04/22/b79f4322-2b66-43d1-9338-24496bae8960/paper.files/image091.png)
点的直线
![](http://static.zujuan.xkw.com/Upload/2017-04/22/b79f4322-2b66-43d1-9338-24496bae8960/paper.files/image094.png)
与直线
![](http://static.zujuan.xkw.com/Upload/2017-04/22/b79f4322-2b66-43d1-9338-24496bae8960/paper.files/image095.png)
,
![](http://static.zujuan.xkw.com/Upload/2017-04/22/b79f4322-2b66-43d1-9338-24496bae8960/paper.files/image096.png)
分别交于
![](http://static.zujuan.xkw.com/Upload/2017-04/22/b79f4322-2b66-43d1-9338-24496bae8960/paper.files/image097.png)
,
![](http://static.zujuan.xkw.com/Upload/2017-04/22/b79f4322-2b66-43d1-9338-24496bae8960/paper.files/image098.png)
两点,则
![](http://static.zujuan.xkw.com/Upload/2017-04/22/b79f4322-2b66-43d1-9338-24496bae8960/paper.files/image099.png)
( )
题号:3526194
题型:选择题
难易度:一般
日期:2017-04-22
来源:河北省唐山市2016-2017学年度高三年级第二次模拟考试理科数学试题
【题文】已知
![](http://static.zujuan.xkw.com/Upload/2017-04/22/b79f4322-2b66-43d1-9338-24496bae8960/paper.files/image076.png)
是定义在
![](http://static.zujuan.xkw.com/Upload/2017-04/22/b79f4322-2b66-43d1-9338-24496bae8960/paper.files/image113.png)
上的可导函数,且满足
![](http://static.zujuan.xkw.com/Upload/2017-04/22/b79f4322-2b66-43d1-9338-24496bae8960/paper.files/image114.png)
,则( )
题号:4880692
题型:选择题
难易度:一般
日期:2017-09-03
来源:河北省唐山市2016-2017学年度高三年级第二次模拟考试理科数学试题
【题文】已知函数
![](http://static.zujuan.xkw.com/Upload/2017-09/03/9f8ef08f-ce1b-46d7-9166-914be67b8729/paper.files/image059.png)
(
![](http://static.zujuan.xkw.com/Upload/2017-09/03/9f8ef08f-ce1b-46d7-9166-914be67b8729/paper.files/image060.png)
)的图象向右平移
![](http://static.zujuan.xkw.com/Upload/2017-09/03/9f8ef08f-ce1b-46d7-9166-914be67b8729/paper.files/image061.png)
个单位后关于
![](http://static.zujuan.xkw.com/Upload/2017-09/03/9f8ef08f-ce1b-46d7-9166-914be67b8729/paper.files/image062.png)
轴对称,则
![](http://static.zujuan.xkw.com/Upload/2017-09/03/9f8ef08f-ce1b-46d7-9166-914be67b8729/paper.files/image063.png)
在区间
![](http://static.zujuan.xkw.com/Upload/2017-09/03/9f8ef08f-ce1b-46d7-9166-914be67b8729/paper.files/image064.png)
上的最小值为( )
题号:3526195
题型:填空题
难易度:较易
日期:2017-04-22
来源:河北省唐山市2016-2017学年度高三年级第二次模拟考试理科数学试题
【题文】
![](http://static.zujuan.xkw.com/Upload/2017-04/22/b79f4322-2b66-43d1-9338-24496bae8960/paper.files/image127.png)
展开式中,含
![](http://static.zujuan.xkw.com/Upload/2017-04/22/b79f4322-2b66-43d1-9338-24496bae8960/paper.files/image128.png)
项的系数是__________.
题号:3526196
题型:填空题
难易度:一般
日期:2017-04-22
来源:河北省唐山市2016-2017学年度高三年级第二次模拟考试理科数学试题
【题文】平行四边形
![](http://static.zujuan.xkw.com/Upload/2017-04/22/b79f4322-2b66-43d1-9338-24496bae8960/paper.files/image137.png)
中,
![](http://static.zujuan.xkw.com/Upload/2017-04/22/b79f4322-2b66-43d1-9338-24496bae8960/paper.files/image097.png)
为
![](http://static.zujuan.xkw.com/Upload/2017-04/22/b79f4322-2b66-43d1-9338-24496bae8960/paper.files/image092.png)
的中点,若
![](http://static.zujuan.xkw.com/Upload/2017-04/22/b79f4322-2b66-43d1-9338-24496bae8960/paper.files/image138.png)
,则
![](http://static.zujuan.xkw.com/Upload/2017-04/22/b79f4322-2b66-43d1-9338-24496bae8960/paper.files/image139.png)
__________.
题号:3526197
题型:填空题
难易度:较难
日期:2017-04-17
来源:河北省唐山市2016-2017学年度高三年级第二次模拟考试理科数学试题
【题文】已知椭圆
![](http://static.zujuan.xkw.com/Upload/2017-04/17/47e81905-0fee-47c9-b200-0e4316f3c173/paper.files/image150.png)
:
![](http://static.zujuan.xkw.com/Upload/2017-04/17/47e81905-0fee-47c9-b200-0e4316f3c173/paper.files/image151.png)
的右焦点为
![](http://static.zujuan.xkw.com/Upload/2017-04/17/47e81905-0fee-47c9-b200-0e4316f3c173/paper.files/image152.png)
,上、下顶点分别为
![](http://static.zujuan.xkw.com/Upload/2017-04/17/47e81905-0fee-47c9-b200-0e4316f3c173/paper.files/image153.png)
,
![](http://static.zujuan.xkw.com/Upload/2017-04/17/47e81905-0fee-47c9-b200-0e4316f3c173/paper.files/image003.png)
,直线
![](http://static.zujuan.xkw.com/Upload/2017-04/17/47e81905-0fee-47c9-b200-0e4316f3c173/paper.files/image154.png)
交
![](http://static.zujuan.xkw.com/Upload/2017-04/17/47e81905-0fee-47c9-b200-0e4316f3c173/paper.files/image150.png)
于另一点
![](http://static.zujuan.xkw.com/Upload/2017-04/17/47e81905-0fee-47c9-b200-0e4316f3c173/paper.files/image155.png)
,若直线
![](http://static.zujuan.xkw.com/Upload/2017-04/17/47e81905-0fee-47c9-b200-0e4316f3c173/paper.files/image156.png)
交
![](http://static.zujuan.xkw.com/Upload/2017-04/17/47e81905-0fee-47c9-b200-0e4316f3c173/paper.files/image157.png)
轴于点
![](http://static.zujuan.xkw.com/Upload/2017-04/17/47e81905-0fee-47c9-b200-0e4316f3c173/paper.files/image158.png)
,则
![](http://static.zujuan.xkw.com/Upload/2017-04/17/47e81905-0fee-47c9-b200-0e4316f3c173/paper.files/image150.png)
的离心率是__________.
题号:3526198
题型:填空题
难易度:一般
日期:2017-04-22
来源:河北省唐山市2016-2017学年度高三年级第二次模拟考试理科数学试题
【题文】在
![](http://static.zujuan.xkw.com/Upload/2017-04/22/b79f4322-2b66-43d1-9338-24496bae8960/paper.files/image166.png)
中,
![](http://static.zujuan.xkw.com/Upload/2017-04/22/b79f4322-2b66-43d1-9338-24496bae8960/paper.files/image167.png)
,
![](http://static.zujuan.xkw.com/Upload/2017-04/22/b79f4322-2b66-43d1-9338-24496bae8960/paper.files/image168.png)
,
![](http://static.zujuan.xkw.com/Upload/2017-04/22/b79f4322-2b66-43d1-9338-24496bae8960/paper.files/image169.png)
是
![](http://static.zujuan.xkw.com/Upload/2017-04/22/b79f4322-2b66-43d1-9338-24496bae8960/paper.files/image092.png)
的一个三等分点,则
![](http://static.zujuan.xkw.com/Upload/2017-04/22/b79f4322-2b66-43d1-9338-24496bae8960/paper.files/image170.png)
的最大值是__________.
题号:3526199
题型:解答题
难易度:一般
日期:2017-04-22
来源:河北省唐山市2016-2017学年度高三年级第二次模拟考试理科数学试题
【题文】数列
![](http://static.zujuan.xkw.com/Upload/2017-04/22/b79f4322-2b66-43d1-9338-24496bae8960/paper.files/image187.png)
的前
![](http://static.zujuan.xkw.com/Upload/2017-04/22/b79f4322-2b66-43d1-9338-24496bae8960/paper.files/image188.png)
项和为
![](http://static.zujuan.xkw.com/Upload/2017-04/22/b79f4322-2b66-43d1-9338-24496bae8960/paper.files/image189.png)
,
![](http://static.zujuan.xkw.com/Upload/2017-04/22/b79f4322-2b66-43d1-9338-24496bae8960/paper.files/image190.png)
,且
![](http://static.zujuan.xkw.com/Upload/2017-04/22/b79f4322-2b66-43d1-9338-24496bae8960/paper.files/image191.png)
.
(Ⅰ)求数列
![](http://static.zujuan.xkw.com/Upload/2017-04/22/b79f4322-2b66-43d1-9338-24496bae8960/paper.files/image187.png)
的通项公式;
(Ⅱ)若
![](http://static.zujuan.xkw.com/Upload/2017-04/22/b79f4322-2b66-43d1-9338-24496bae8960/paper.files/image192.png)
,求数列
![](http://static.zujuan.xkw.com/Upload/2017-04/22/b79f4322-2b66-43d1-9338-24496bae8960/paper.files/image193.png)
的前
![](http://static.zujuan.xkw.com/Upload/2017-04/22/b79f4322-2b66-43d1-9338-24496bae8960/paper.files/image188.png)
项和
![](http://static.zujuan.xkw.com/Upload/2017-04/22/b79f4322-2b66-43d1-9338-24496bae8960/paper.files/image194.png)
.
题号:3526200
题型:解答题
难易度:一般
日期:2017-04-22
来源:河北省唐山市2016-2017学年度高三年级第二次模拟考试理科数学试题
【题文】某仪器经过检验合格才能出厂,初检合格率为
![](http://static.zujuan.xkw.com/Upload/2017-04/22/b79f4322-2b66-43d1-9338-24496bae8960/paper.files/image215.png)
:若初检不合格,则需要进行调试,经调试后再次对其进行检验;若仍不合格,作为废品处理,再检合格率为
![](http://static.zujuan.xkw.com/Upload/2017-04/22/b79f4322-2b66-43d1-9338-24496bae8960/paper.files/image216.png)
.每台仪器各项费用如表:
项目
| 生产成本
| 检验费/次
| 调试费
| 出厂价
|
金额(元)
| 1000
| 100
| 200
| 3000
|
(Ⅰ)求每台仪器能出厂的概率;
(Ⅱ)求生产一台仪器所获得的利润为1600元的概率(注:利润
![](http://static.zujuan.xkw.com/Upload/2017-04/22/b79f4322-2b66-43d1-9338-24496bae8960/paper.files/image207.png)
出厂价
![](http://static.zujuan.xkw.com/Upload/2017-04/22/b79f4322-2b66-43d1-9338-24496bae8960/paper.files/image209.png)
生产成本
![](http://static.zujuan.xkw.com/Upload/2017-04/22/b79f4322-2b66-43d1-9338-24496bae8960/paper.files/image209.png)
检验费
![](http://static.zujuan.xkw.com/Upload/2017-04/22/b79f4322-2b66-43d1-9338-24496bae8960/paper.files/image209.png)
调试费);
(Ⅲ)假设每台仪器是否合格相互独立,记
![](http://static.zujuan.xkw.com/Upload/2017-04/22/b79f4322-2b66-43d1-9338-24496bae8960/paper.files/image217.png)
为生产两台仪器所获得的利润,求
![](http://static.zujuan.xkw.com/Upload/2017-04/22/b79f4322-2b66-43d1-9338-24496bae8960/paper.files/image217.png)
的分布列和数学期望.
题号:3526201
题型:解答题
难易度:一般
日期:2017-04-22
来源:河北省唐山市2016-2017学年度高三年级第二次模拟考试理科数学试题
【题文】在四棱锥
![](http://static.zujuan.xkw.com/Upload/2017-04/22/b79f4322-2b66-43d1-9338-24496bae8960/paper.files/image244.png)
中,底面
![](http://static.zujuan.xkw.com/Upload/2017-04/22/b79f4322-2b66-43d1-9338-24496bae8960/paper.files/image137.png)
为平行四边形,
![](http://static.zujuan.xkw.com/Upload/2017-04/22/b79f4322-2b66-43d1-9338-24496bae8960/paper.files/image245.png)
,
![](http://static.zujuan.xkw.com/Upload/2017-04/22/b79f4322-2b66-43d1-9338-24496bae8960/paper.files/image246.png)
,
![](http://static.zujuan.xkw.com/Upload/2017-04/22/b79f4322-2b66-43d1-9338-24496bae8960/paper.files/image247.png)
,
![](http://static.zujuan.xkw.com/Upload/2017-04/22/b79f4322-2b66-43d1-9338-24496bae8960/paper.files/image236.png)
点在底面
![](http://static.zujuan.xkw.com/Upload/2017-04/22/b79f4322-2b66-43d1-9338-24496bae8960/paper.files/image137.png)
内的射影
![](http://static.zujuan.xkw.com/Upload/2017-04/22/b79f4322-2b66-43d1-9338-24496bae8960/paper.files/image176.png)
在线段
![](http://static.zujuan.xkw.com/Upload/2017-04/22/b79f4322-2b66-43d1-9338-24496bae8960/paper.files/image248.png)
上,且
![](http://static.zujuan.xkw.com/Upload/2017-04/22/b79f4322-2b66-43d1-9338-24496bae8960/paper.files/image249.png)
,
![](http://static.zujuan.xkw.com/Upload/2017-04/22/b79f4322-2b66-43d1-9338-24496bae8960/paper.files/image250.png)
,
![](http://static.zujuan.xkw.com/Upload/2017-04/22/b79f4322-2b66-43d1-9338-24496bae8960/paper.files/image251.png)
为
![](http://static.zujuan.xkw.com/Upload/2017-04/22/b79f4322-2b66-43d1-9338-24496bae8960/paper.files/image170.png)
的中点,
![](http://static.zujuan.xkw.com/Upload/2017-04/22/b79f4322-2b66-43d1-9338-24496bae8960/paper.files/image097.png)
在线段
![](http://static.zujuan.xkw.com/Upload/2017-04/22/b79f4322-2b66-43d1-9338-24496bae8960/paper.files/image252.png)
上,且
![](http://static.zujuan.xkw.com/Upload/2017-04/22/b79f4322-2b66-43d1-9338-24496bae8960/paper.files/image253.png)
.
![](http://static.zujuan.xkw.com/Upload/2017-04/22/b79f4322-2b66-43d1-9338-24496bae8960/paper.files/image254.png)
(Ⅰ)当
![](http://static.zujuan.xkw.com/Upload/2017-04/22/b79f4322-2b66-43d1-9338-24496bae8960/paper.files/image255.png)
时,证明:平面
![](http://static.zujuan.xkw.com/Upload/2017-04/22/b79f4322-2b66-43d1-9338-24496bae8960/paper.files/image256.png)
平面
![](http://static.zujuan.xkw.com/Upload/2017-04/22/b79f4322-2b66-43d1-9338-24496bae8960/paper.files/image257.png)
;
(Ⅱ)当平面
![](http://static.zujuan.xkw.com/Upload/2017-04/22/b79f4322-2b66-43d1-9338-24496bae8960/paper.files/image258.png)
与平面
![](http://static.zujuan.xkw.com/Upload/2017-04/22/b79f4322-2b66-43d1-9338-24496bae8960/paper.files/image137.png)
所成的二面角的正弦值为
![](http://static.zujuan.xkw.com/Upload/2017-04/22/b79f4322-2b66-43d1-9338-24496bae8960/paper.files/image259.png)
时,求四棱锥
![](http://static.zujuan.xkw.com/Upload/2017-04/22/b79f4322-2b66-43d1-9338-24496bae8960/paper.files/image260.png)
的体积.
题号:3526202
题型:解答题
难易度:一般
日期:2017-04-22
来源:河北省唐山市2016-2017学年度高三年级第二次模拟考试理科数学试题
【题文】已知
![](http://static.zujuan.xkw.com/Upload/2017-04/22/b79f4322-2b66-43d1-9338-24496bae8960/paper.files/image166.png)
的顶点
![](http://static.zujuan.xkw.com/Upload/2017-04/22/b79f4322-2b66-43d1-9338-24496bae8960/paper.files/image304.png)
,点
![](http://static.zujuan.xkw.com/Upload/2017-04/22/b79f4322-2b66-43d1-9338-24496bae8960/paper.files/image153.png)
在
![](http://static.zujuan.xkw.com/Upload/2017-04/22/b79f4322-2b66-43d1-9338-24496bae8960/paper.files/image156.png)
轴上移动,
![](http://static.zujuan.xkw.com/Upload/2017-04/22/b79f4322-2b66-43d1-9338-24496bae8960/paper.files/image305.png)
,且
![](http://static.zujuan.xkw.com/Upload/2017-04/22/b79f4322-2b66-43d1-9338-24496bae8960/paper.files/image092.png)
的中点在
![](http://static.zujuan.xkw.com/Upload/2017-04/22/b79f4322-2b66-43d1-9338-24496bae8960/paper.files/image075.png)
轴上.
(Ⅰ)求
![](http://static.zujuan.xkw.com/Upload/2017-04/22/b79f4322-2b66-43d1-9338-24496bae8960/paper.files/image306.png)
点的轨迹
![](http://static.zujuan.xkw.com/Upload/2017-04/22/b79f4322-2b66-43d1-9338-24496bae8960/paper.files/image149.png)
的方程;
(Ⅱ)已知轨迹
![](http://static.zujuan.xkw.com/Upload/2017-04/22/b79f4322-2b66-43d1-9338-24496bae8960/paper.files/image149.png)
上的不同两点
![](http://static.zujuan.xkw.com/Upload/2017-04/22/b79f4322-2b66-43d1-9338-24496bae8960/paper.files/image097.png)
,
![](http://static.zujuan.xkw.com/Upload/2017-04/22/b79f4322-2b66-43d1-9338-24496bae8960/paper.files/image098.png)
与
![](http://static.zujuan.xkw.com/Upload/2017-04/22/b79f4322-2b66-43d1-9338-24496bae8960/paper.files/image307.png)
的连线的斜率之和为2,求证:直线
![](http://static.zujuan.xkw.com/Upload/2017-04/22/b79f4322-2b66-43d1-9338-24496bae8960/paper.files/image308.png)
过定点.
题号:3526203
题型:解答题
难易度:较难
日期:2017-04-22
来源:河北省唐山市2016-2017学年度高三年级第二次模拟考试理科数学试题
【题文】已知函数
![](http://static.zujuan.xkw.com/Upload/2017-04/22/b79f4322-2b66-43d1-9338-24496bae8960/paper.files/image327.png)
的图象与
![](http://static.zujuan.xkw.com/Upload/2017-04/22/b79f4322-2b66-43d1-9338-24496bae8960/paper.files/image156.png)
轴相切,
![](http://static.zujuan.xkw.com/Upload/2017-04/22/b79f4322-2b66-43d1-9338-24496bae8960/paper.files/image328.png)
.
(Ⅰ)求证:
![](http://static.zujuan.xkw.com/Upload/2017-04/22/b79f4322-2b66-43d1-9338-24496bae8960/paper.files/image329.png)
;
(Ⅱ)若
![](http://static.zujuan.xkw.com/Upload/2017-04/22/b79f4322-2b66-43d1-9338-24496bae8960/paper.files/image330.png)
,求证:
![](http://static.zujuan.xkw.com/Upload/2017-04/22/b79f4322-2b66-43d1-9338-24496bae8960/paper.files/image331.png)
题号:3526204
题型:解答题
难易度:较易
日期:2017-04-17
来源:河北省唐山市2016-2017学年度高三年级第二次模拟考试理科数学试题
【题文】在直角坐标系
![](http://static.zujuan.xkw.com/Upload/2017-06/17/9f113010-3580-4a91-9ca2-ccf201915044/paper.files/image001.png)
中,直线
![](http://static.zujuan.xkw.com/Upload/2017-06/17/9f113010-3580-4a91-9ca2-ccf201915044/paper.files/image002.png)
的参数方程为
![](http://static.zujuan.xkw.com/Upload/2017-06/17/9f113010-3580-4a91-9ca2-ccf201915044/paper.files/image003.png)
(
![](http://static.zujuan.xkw.com/Upload/2017-06/17/9f113010-3580-4a91-9ca2-ccf201915044/paper.files/image004.png)
为参数),以坐标原点为极点,
![](http://static.zujuan.xkw.com/Upload/2017-06/17/9f113010-3580-4a91-9ca2-ccf201915044/paper.files/image005.png)
轴的非负半轴为极轴建立极坐标系,曲线
![](http://static.zujuan.xkw.com/Upload/2017-06/17/9f113010-3580-4a91-9ca2-ccf201915044/paper.files/image006.png)
的极坐标方程为
![](http://static.zujuan.xkw.com/Upload/2017-06/17/9f113010-3580-4a91-9ca2-ccf201915044/paper.files/image007.png)
.
(1)写出
![](http://static.zujuan.xkw.com/Upload/2017-06/17/9f113010-3580-4a91-9ca2-ccf201915044/paper.files/image002.png)
的普通方程为
![](http://static.zujuan.xkw.com/Upload/2017-06/17/9f113010-3580-4a91-9ca2-ccf201915044/paper.files/image006.png)
的直角坐标方程;
(2)直线
![](http://static.zujuan.xkw.com/Upload/2017-06/17/9f113010-3580-4a91-9ca2-ccf201915044/paper.files/image002.png)
与曲线
![](http://static.zujuan.xkw.com/Upload/2017-06/17/9f113010-3580-4a91-9ca2-ccf201915044/paper.files/image006.png)
相交于
![](http://static.zujuan.xkw.com/Upload/2017-06/17/9f113010-3580-4a91-9ca2-ccf201915044/paper.files/image008.png)
两点,点
![](http://static.zujuan.xkw.com/Upload/2017-06/17/9f113010-3580-4a91-9ca2-ccf201915044/paper.files/image009.png)
,求
![](http://static.zujuan.xkw.com/Upload/2017-06/17/9f113010-3580-4a91-9ca2-ccf201915044/paper.files/image010.png)
.
题号:3526205
题型:解答题
难易度:一般
日期:2017-04-17
来源:河北省唐山市2016-2017学年度高三年级第二次模拟考试理科数学试题
【题文】(本小题满分10分)选修4—5:不等式选讲
已知函数
![](http://static.zujuan.xkw.com/Upload/2017-06/05/95340d0a-4b44-4e0b-83f7-040731f7f84d/paper.files/image001.png)
,不等式
![](http://static.zujuan.xkw.com/Upload/2017-06/05/95340d0a-4b44-4e0b-83f7-040731f7f84d/paper.files/image002.png)
的解集为
![](http://static.zujuan.xkw.com/Upload/2017-06/05/95340d0a-4b44-4e0b-83f7-040731f7f84d/paper.files/image003.png)
.
(Ⅰ)求
![](http://static.zujuan.xkw.com/Upload/2017-06/05/95340d0a-4b44-4e0b-83f7-040731f7f84d/paper.files/image003.png)
;
(Ⅱ)证明:当
![](http://static.zujuan.xkw.com/Upload/2017-06/05/95340d0a-4b44-4e0b-83f7-040731f7f84d/paper.files/image004.png)
,
![](http://static.zujuan.xkw.com/Upload/2017-06/05/95340d0a-4b44-4e0b-83f7-040731f7f84d/paper.files/image005.png)
时,
![](http://static.zujuan.xkw.com/Upload/2017-06/05/95340d0a-4b44-4e0b-83f7-040731f7f84d/paper.files/image006.png)
.