1 . 如图,已知椭圆
,
分别为其左、右焦点,过
的直线与此椭圆相交于
两点,且
的周长为8,椭圆
的离心率为
.
(Ⅰ)求椭圆
的方程;
(Ⅱ)在平面直角坐标系
中,已知点
与点
,过
的动直线
(不与
轴平行)与椭圆相交于
两点,点
是点
关于
轴的对称点.求证:
(i)
三点共线.
(ii)
.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/851a5d6ec23256f9b4a9e98aa92945fe.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4d2a97987f71835f519b462f5b8f5957.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f5076289823db419f94e9c0c8f4aafd9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/91e1e4115d78e625e9e0f47cdade3286.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b2edae01494aa24d0489e473348b0742.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c5db41a1f31d6baee7c69990811edb9f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8d5989c84e320b504511f23eeb6e7357.png)
(Ⅰ)求椭圆
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c5db41a1f31d6baee7c69990811edb9f.png)
(Ⅱ)在平面直角坐标系
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7ee31829d0d4d5f779a957d7df8058ab.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7a5f1b6f209d1a805437046ca6ef79dd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e75ebcf0d951f833ca90e040f3cd4db6.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dad2a36927223bd70f426ba06aea4b45.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0f85fca60a11e1af2bf50138d0e3fe62.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/81dea63b8ce3e51adf66cf7b9982a248.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/01c74a907dda6bb7d9d56d009d9df253.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/97c01fdc7bc471af0b264a04aef0823e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7f9e8449aad35c5d840a3395ea86df6d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d053b14c8588eee2acbbe44fc37a6886.png)
(i)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c26453fa6090a097169bf0a8adc9996d.png)
(ii)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/37a97e38fffbca986dee7e2cb28bb794.png)
![](https://img.xkw.com/dksih/QBM/editorImg/2023/1/5/b6268b14-1df5-41d4-b2cb-5c9eefbd3674.png?resizew=197)
您最近一年使用:0次
2019-04-14更新
|
655次组卷
|
3卷引用:【区级联考】北京市门头沟区2019届高三3月综合练习数学试题(理)
2 . 设
,
,
,则![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dd707b69a11f8de5566f23c1a2a9ff5a.png)
_________ 时,点
,
,
共线.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3dde072ab3c739a80bbb5bcf69b11279.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/689da5627c0870e1a2857048fcace065.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1e31a81f0686147fcb8a25491cb07af5.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dd707b69a11f8de5566f23c1a2a9ff5a.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/c5db41a1f31d6baee7c69990811edb9f.png)
您最近一年使用:0次
2020-02-01更新
|
234次组卷
|
2卷引用:2016届上海市嘉定区高考一模(文科)数学试题
2014·上海闵行·二模
3 . 已知等差数列
的前
项和为
,向量
,
, ![](https://staticzujuan.xkw.com/quesimg/Upload/formula/26360ea64d435528addb931e85ffeb64.png)
,且
,则用
表示
.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b4be2164a2c67d6163faee87a10942bb.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b6a24198bd04c29321ae5dc5a28fe421.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/08eb71ecf8d733b6932f4680874dbbf3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3f487a3df7edcf450c23be97512e1b01.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/95748e37d02aad6ca77dae5672ccc34c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/26360ea64d435528addb931e85ffeb64.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/618064392a0dcaaa448d581e6f48410d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a03da9b7c738957c706d115088d6b42c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1065f178f4a505aa18af65e18e46cef1.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5db7a0c2ec22e9e3da595492a0f28e46.png)
A.![]() | B.![]() | C.![]() | D.![]() |
您最近一年使用:0次
2016-12-02更新
|
3066次组卷
|
6卷引用:2014届上海市闵行区高三下学期教育质量调研(二模)理科数学试卷
(已下线)2014届上海市闵行区高三下学期教育质量调研(二模)理科数学试卷上海市莘庄中学等四校2015-2016学年高二上学期11月联考数学试题北师大版(2019) 选修第二册 名师精选 专题一 数列 A卷(已下线)卷11 数列章节测试 A卷 ·基础达标 -【重难点突破】2021-2022学年高二数学名校好题汇编同步测试卷(人教A版选择性必修第二册)沪教版(2020) 选修第一册 领航者 期末测试2023版 苏教版(2019) 选修第一册 名师精选卷 第四章 数列