9-10高三·广东东莞·阶段练习
名校
1 . 如图所示,四棱锥
中,底面
为正方形,
平面
,
,点
分别为
的中点.
![](https://img.xkw.com/dksih/QBM/2017/8/17/1754071308828672/1754135333019648/STEM/a986b84f7cbe4c21b83211d8a0097eac.png?resizew=175)
(1)求证:
;
(2)求二面角
的余弦值.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0585b6c0f156eecf9662b9846d4eb693.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/411b38a18046fea8e9fab1f9f9b80a5f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5a1b49f64e0065edad868b25e9fcada3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/411b38a18046fea8e9fab1f9f9b80a5f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/99926bf272cd757f0985c69b390ebcce.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0b199a99e53d67ff4abf233930961a29.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2e3a25299c121dbb883fd3c7918d566d.png)
![](https://img.xkw.com/dksih/QBM/2017/8/17/1754071308828672/1754135333019648/STEM/a986b84f7cbe4c21b83211d8a0097eac.png?resizew=175)
(1)求证:
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1fc6269077b8e6b063efb583c91a564d.png)
(2)求二面角
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8f7922e0fd1ac1ae161af421eaeba788.png)
您最近一年使用:0次
2016-11-30更新
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925次组卷
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6卷引用:黑龙江省牡丹江市第一高级中学2019-2020学年高二上学期期末数学(理)试题
黑龙江省牡丹江市第一高级中学2019-2020学年高二上学期期末数学(理)试题福建省莆田第二十五中学2020-2021学年高二上学期期末考试数学试题(已下线)2011届广东省东莞市五校高三第一次联考理科数学卷(已下线)2011届广东省高三高考全真模拟试卷数学理卷一(已下线)2011届江西省南昌市高三第三次模拟考试理科数学2017年山西重点中学协作体高三暑期联考理科数学试卷
9-10高二下·黑龙江·期末
2 .
分别是椭圆
的左右焦点,直线
与C相交于A,B两点
(1)直线
斜率为1且过点
,若
,
,
成等差数列,求
值
(2)若直线
方程为
,且
,求
值.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4d2a97987f71835f519b462f5b8f5957.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/069ffc1e3936d254303d588e1a70a3aa.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0f85fca60a11e1af2bf50138d0e3fe62.png)
(1)直线
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0f85fca60a11e1af2bf50138d0e3fe62.png)
![](https://img.xkw.com/dksih/QBM/2010/7/17/1569792646389760/1569792651812864/STEM/dbcc0d5494f6417cb91b496deee7ffeb.png?resizew=17)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/121fec86e29434bd4b9afe2656e38a41.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3f4dfec890cdfdda355e19463f3be813.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2c98164772a0644b55518cb985e81a17.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0a6936d370d6a238a608ca56f87198de.png)
(2)若直线
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0f85fca60a11e1af2bf50138d0e3fe62.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/aae342dcb93e0e6f017093cacc5ac977.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3825ccc273ef9a672a606432d165b866.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0a6936d370d6a238a608ca56f87198de.png)
您最近一年使用:0次
3 . 已知椭圆C:
过点![](https://img.xkw.com/dksih/QBM/2015/10/8/1572248212234240/1572248218353664/STEM/9b077895fb5e404e8cfa6800a8af29ab.png)
,离心率为
,点
分别为其左右焦点.
(1)求椭圆C的标准方程;
(2)是否存在圆心在原点的圆,使得该圆的任意一条切线与椭圆C恒有两个交点
,且
?若存在,求出该圆的方程;若不存在,请说明理由.
![](https://img.xkw.com/dksih/QBM/2015/10/8/1572248212234240/1572248218353664/STEM/9863f99a082549c0830bf8b14f47f227.png)
![](https://img.xkw.com/dksih/QBM/2015/10/8/1572248212234240/1572248218353664/STEM/9b077895fb5e404e8cfa6800a8af29ab.png)
![](https://img.xkw.com/dksih/QBM/2015/10/8/1572248212234240/1572248218353664/STEM/7f863c7d08db45a2b26dab32b59fe4bc.png)
![](https://img.xkw.com/dksih/QBM/2015/10/8/1572248212234240/1572248218353664/STEM/cbb5494aa87f4651ada7b0464b29ca46.png)
![](https://img.xkw.com/dksih/QBM/2015/10/8/1572248212234240/1572248218353664/STEM/d76e4fab6af24a0690ecb3f21119b1f2.png)
(1)求椭圆C的标准方程;
(2)是否存在圆心在原点的圆,使得该圆的任意一条切线与椭圆C恒有两个交点
![](https://img.xkw.com/dksih/QBM/2015/10/8/1572248212234240/1572248218353664/STEM/b1448a2b752a4c76af673b846a9d1fed.png)
![](https://img.xkw.com/dksih/QBM/2015/10/8/1572248212234240/1572248218353664/STEM/12d6aefd657242399759c80b9e6251d8.png)
您最近一年使用:0次
2015-10-08更新
|
1345次组卷
|
3卷引用:2014-2015学年黑龙江省龙东南四校高二下期末联考数学(理)试卷