名校
1 . 已知
,
是椭圆
:
的左、右焦点,
、
是左、右顶点,
为椭圆
的离心率,过右焦点
的直线
与椭圆交于
,
两点,已知
,
,
,设直线
的斜率为
,直线
和直线
的斜率分别为
,
,直线
和直线
的斜率分别为
,
,则下列结论一定正确的是( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f5076289823db419f94e9c0c8f4aafd9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a3fb78c5f885034612c0e030b920143d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b1241216f3c1cb5e73043dd1037f556d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/48da128547c4cf9745e8e4b99988a3db.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ac047e91852b91af639feec23a9598b2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/54a5d7d3b6b63fe5c24c3907b7a8eaa3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/168b3e4b1d6f04226fa2687a72a268b4.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c5db41a1f31d6baee7c69990811edb9f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a3fb78c5f885034612c0e030b920143d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0f85fca60a11e1af2bf50138d0e3fe62.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5963abe8f421bd99a2aaa94831a951e9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7f9e8449aad35c5d840a3395ea86df6d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d2e06a189ef21da11a2a44b0391bc7cf.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9dfe52d914e1e8038cc6cacd2b3273b0.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b9766e5e316ac8e8ecae1779070799a4.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f52a58fbaf4fea03567e88a9f0f6e37e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f0a532e15e232cb4b99a8d4d07c89575.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d50703c46b6153945d718b198f03b4b5.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f50b3ae183997b707d16eb4e7f6712fa.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6defc43285a40f7ccb74c1cc04265eba.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/423b7ae39db552e60ee8b1d27312306f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e69d2b798744645af88a4fa411344a83.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7785afeeaf274892253d04b4f693b367.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dbf434334b09cc0fdd4e86e84e6ceb00.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3307e11f7e6896e32aa510bbed949ac6.png)
A.![]() | B.![]() | C.![]() | D.![]() |
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2020-09-01更新
|
805次组卷
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3卷引用:湖北省黄冈市2019-2020学年高二下学期期末数学试题
湖北省黄冈市2019-2020学年高二下学期期末数学试题(已下线)第5讲 椭圆-2021-2022学年高二数学多选题专项提升(人教A版2019选择性必修第一册)山东省泰安市泰安一中青年路校区2023-2024学年高二上学期12月月考数学试题
真题
名校
2 . 已知椭圆C的中心在原点,焦点在
轴上,以两个焦点和短轴的两个端点为顶点的四边形是一个面积为8的正方形(记为Q).
(Ⅰ)求椭圆C的方程;
(Ⅱ)设点P是椭圆C的左准线与
轴的交点,过点P的直线
与椭圆C相交于M,N两点,当线段MN的中点落在正方形Q内(包括边界)时,求直线
的斜率的取值范围.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/81dea63b8ce3e51adf66cf7b9982a248.png)
(Ⅰ)求椭圆C的方程;
(Ⅱ)设点P是椭圆C的左准线与
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/81dea63b8ce3e51adf66cf7b9982a248.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0f85fca60a11e1af2bf50138d0e3fe62.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0f85fca60a11e1af2bf50138d0e3fe62.png)
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2019-01-30更新
|
109次组卷
|
7卷引用:2015届湖北省黄冈中学高三上学期期末考试理科数学试卷
2015届湖北省黄冈中学高三上学期期末考试理科数学试卷2015-2016学年河北省正定中学高二上学期期末文科数学卷2015-2016学年河北省石家庄市正定中学高二上期末文科数学试卷2009年普通高等学校招生全国统一考试文科数学(湖南卷)(已下线)2011届陕西省西安市高三第三次质量检测理科数学(已下线)2012届陕西省西工大附中高三第五次适应性训练文科数学试卷宁夏银川一中2018届高三第二次模拟考试数学(理)试题
12-13高三上·湖北黄冈·期末
3 . 已知在
中,点
的坐标分别为
,
,点
在
轴上方.
(1)若点
坐标为
,求以
为焦点且经过点
的椭圆的方程;
(2)过点
作倾斜角为
的直线
交(1)中曲线于
两点,若点
恰在以线段
为直径的圆上,求实数
的值.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0faed94a64b2dcfc6801b4fca0f16675.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/01c74a907dda6bb7d9d56d009d9df253.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3ad3b77fd17fe23ebc3ca4f2bd70de9b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/58f42d6c12d8b5309e81979bf1f045dc.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c5db41a1f31d6baee7c69990811edb9f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/81dea63b8ce3e51adf66cf7b9982a248.png)
(1)若点
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c5db41a1f31d6baee7c69990811edb9f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/937dbb96343b8a9e52718e785e9eda43.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/01c74a907dda6bb7d9d56d009d9df253.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c5db41a1f31d6baee7c69990811edb9f.png)
(2)过点
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c7d903b1ff09e933b73ef0f75fc861dc.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/45f5881bbc1643473cdbdd155178790b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0f85fca60a11e1af2bf50138d0e3fe62.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7789a500686c7a73770404ead6af0590.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/bdebfa07f9b53d79d119cd3a1048e78a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/411461db15ee8086332c531e086c40c7.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/294f5ba74cdf695fc9a8a8e52f421328.png)
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