名校
1 . 设F1,F2分别是椭圆
(a>b>0)的左、右焦点,E的离心率为
,点(0,1)是E上一点.
(1)求椭圆E的方程;
(2)过点F1的直线交椭圆E于A,B两点,且
,求直线BF2的方程.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ab0fe9059acc47d2447576e1260c4622.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8d5989c84e320b504511f23eeb6e7357.png)
(1)求椭圆E的方程;
(2)过点F1的直线交椭圆E于A,B两点,且
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ec791b9377d6e60bee404fd1fbd2d6cf.png)
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2020-12-29更新
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109次组卷
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3卷引用:西藏林芝市第二高级中学2020-2021学年高二上学期第二学段(期末)考试数学(理)试题
名校
解题方法
2 . 已知椭圆
:
经过点
,离心率为
.
(1)求椭圆
的方程;
(2)过点
的直线
交椭圆于
,
两点,
为椭圆
的左焦点,若
,求直线
的方程.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c5db41a1f31d6baee7c69990811edb9f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/48da128547c4cf9745e8e4b99988a3db.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/fe6301e2588ebb44105a6d978c9e0b59.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/827ccf0c04aa941ba20d5f4c6068b46b.png)
(1)求椭圆
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c5db41a1f31d6baee7c69990811edb9f.png)
(2)过点
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/99296bab1b42898e7ca336a822510258.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/a0ed1ec316bc54c37c4286c208f55667.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c5db41a1f31d6baee7c69990811edb9f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9de567dfc6d1af97c359e7c927688ede.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0f85fca60a11e1af2bf50138d0e3fe62.png)
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2020-09-18更新
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634次组卷
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4卷引用:西藏日喀则市2020届高三上学期学业水评测试(模拟)数学(文)试题
西藏日喀则市2020届高三上学期学业水评测试(模拟)数学(文)试题(已下线)专题21 圆锥曲线综合-2020年高考数学(文)母题题源解密(全国Ⅰ专版)(已下线)专题20 圆锥曲线综合-2020年高考数学(理)母题题源解密(全国Ⅰ专版)天津市第二十中2020-2021学年高二(上)期中数学试题
3 . 已知椭圆
的短轴端点到右焦点
的距离为2.
(1)求椭圆C的方程;
(2)设经过点
的直线l与椭圆C相交于不同的两点M,N.若点
在以线段MN为直径的圆上,求直线l的方程.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ad523e69a1bf925e73a22900b9855df2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7ce176fdfbb44b8459f441a8d805013f.png)
(1)求椭圆C的方程;
(2)设经过点
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1c6ff81aedbefa935da289dc632e78eb.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/81b54b9cf95418bc3dce6e4c698b9907.png)
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2020-03-20更新
|
132次组卷
|
2卷引用:西藏拉萨市2019-2020学年高二上学期期末联考数学(文)试题
名校
4 . 已知椭圆
的离心率为
,其中左焦点
.
(1)求出椭圆
的方程;
(2)若直线
与曲线
交于不同的
两点,且线段
的中点
在曲线
上,求
的值.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d7d72a07a4e5acfc140a3cea1f26b951.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/434249d6640b0c1a712d215cf8b83d5c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8d5989c84e320b504511f23eeb6e7357.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/030700126fb012f13935f57780b96677.png)
(1)求出椭圆
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c5db41a1f31d6baee7c69990811edb9f.png)
(2)若直线
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/54479885d4ab2f717d2e97718da04b43.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c5db41a1f31d6baee7c69990811edb9f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/01c74a907dda6bb7d9d56d009d9df253.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f52a58fbaf4fea03567e88a9f0f6e37e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ac047e91852b91af639feec23a9598b2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a50687388994292af0d481d205780b42.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/294f5ba74cdf695fc9a8a8e52f421328.png)
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2019-04-28更新
|
394次组卷
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2卷引用:【全国百强校】西藏山南市第二高级中学2019届高三下学期第一次模拟考试数学(理)试题
5 . 已知椭圆C:
的离心率为
,过右焦点F的直线l与C相交于A、B两点,当l的斜率为1是,坐标原点O到直线l的距离为
.
(Ⅰ)求a,b的值;
(Ⅱ)C上是否存在点P,使得当l绕F转到某一位置时,有
成立?
若存在,求出所有的P的坐标与l的方程;若不存在,说明理由.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1d7aea48c44781a844b5c19191f70f61.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/827ccf0c04aa941ba20d5f4c6068b46b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8d5989c84e320b504511f23eeb6e7357.png)
(Ⅰ)求a,b的值;
(Ⅱ)C上是否存在点P,使得当l绕F转到某一位置时,有
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e6542d51821d5550d804fba1f8cc10dd.png)
若存在,求出所有的P的坐标与l的方程;若不存在,说明理由.
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2019-01-30更新
|
2373次组卷
|
12卷引用:2009年普通高等学校招生全国统一考试理科数学(全国卷Ⅱ)
2009年普通高等学校招生全国统一考试理科数学(全国卷Ⅱ)2009年普通高等学校招生全国统一考试文科数学(全国卷Ⅱ)(已下线)2012届云南省建水一中高三9月月考理科数学(已下线)2014届湖北省武汉市高三9月调研测试理科数学试卷(已下线)专题07+圆锥曲线大题专项练习-2020-2021学年【补习教材·寒假作业】高二数学(人教A版2019)(已下线)专题15+圆锥曲线大题专项练习-2020-2021学年【补习教材·寒假作业】高二数学(理)(人教A版)(已下线)专题15+圆锥曲线大题专项练习-2020-2021学年【补习教材·寒假作业】高二数学(文)(人教A版)西藏自治区拉萨中学2020-2021学年高二下学期第六次月考数学(理)试题西藏自治区拉萨中学2020-2021学年高二下学期第六次月考数学(文)试题高中数学解题兵法 第四十一讲 运用分类讨论法解解析几何问题(已下线)专题15 圆锥曲线大题专项练习(已下线)专题15 圆锥曲线大题专项练习
名校
6 . 已知椭圆
过点
,离心率
.
(1)求椭圆的方程;
(2)已知点
,过点
作斜率为
直线
,与椭圆交于
,
两点,若
轴平分
,求
的值.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7dd54b9df3402ad91e2d34c40efe0c7a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/edaef66a0582e95fb5c57a405acdea9a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/075ba8c6fb5ef7288cd3fed425c8e69e.png)
(1)求椭圆的方程;
(2)已知点
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/84bfec4efcc9f0e656d6864daaaef55d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1d7a999c36de5c9a9ce876a4a56fa34c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2799abb64fd7bfce9dfa7228aa460564.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0f85fca60a11e1af2bf50138d0e3fe62.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/81dea63b8ce3e51adf66cf7b9982a248.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c45a8a837c11c07073da3ff751d70278.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/294f5ba74cdf695fc9a8a8e52f421328.png)
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2018-10-23更新
|
761次组卷
|
8卷引用:【全国百强校】西藏自治区拉萨中学2018届高三第七次月考数学(文)试题
名校
7 . 已知椭圆
,右焦点为
,
,且
,椭圆
的离心率为
.
(1)求椭圆
的标准方程;
(2)设直线
的方程为
,当直线
与椭圆
有唯一公共点
时,作
于
(
为坐标原点),若
,求
的值.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ad523e69a1bf925e73a22900b9855df2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/54b4e362e4a56b8da0b78e5bf2127f87.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/40630a669f4eedf626bc24851df10c85.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/976842338a5c11b86741236d49a49548.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c5db41a1f31d6baee7c69990811edb9f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/860884c0017c8bceb5b0edff796c144f.png)
(1)求椭圆
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c5db41a1f31d6baee7c69990811edb9f.png)
(2)设直线
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0f85fca60a11e1af2bf50138d0e3fe62.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/15b256345d7109e081b7c895591e995d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0f85fca60a11e1af2bf50138d0e3fe62.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c5db41a1f31d6baee7c69990811edb9f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ac047e91852b91af639feec23a9598b2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/abf59107b1cb4f2c9dc9f27525311e22.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/73465a1f9aa03481295bf6bd3c6903ac.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1dde8112e8eb968fd042418dd632759e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/df35de5d9b87d2be352b819b9e2e7bc4.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f0a532e15e232cb4b99a8d4d07c89575.png)
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8 . 已知椭圆
的右焦点与抛物线
的焦点重合,点
在椭圆
上.
(1)求椭圆
的方程;
(2)设
,直线
与椭圆
交于
两点,若直线
,
均与圆
相切,求
的值.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2a30f3a8b673cc28bd90c50cf1a35281.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/745de5ef1fd897d16e37464172d5e8c9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6e67baac84cf5c95d06d50c36cab7c68.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2a30f3a8b673cc28bd90c50cf1a35281.png)
(1)求椭圆
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2a30f3a8b673cc28bd90c50cf1a35281.png)
(2)设
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ab0fbf5844e5482dc00bac45cb50d880.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6767830cc1811f0f4ea5a008fdc7e723.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2a30f3a8b673cc28bd90c50cf1a35281.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/01c74a907dda6bb7d9d56d009d9df253.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/bd33764ff4efddfe11a98a609753715c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d2be49c37e30a3ced0364c3e74d8c687.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4896f254406ddfe0744b63f10724e76a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f0a532e15e232cb4b99a8d4d07c89575.png)
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2017-05-12更新
|
879次组卷
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4卷引用:北京市丰台区2017届高三5月综合练习(二模)数学(理)试题
10-11高三·西藏拉萨·阶段练习
解题方法
9 . 已知P是椭圆
上的动点,两焦点为
,
,且
面积的最大值为
.
(1)求椭圆方程;
(2)过点
的直线l交椭圆于AB两点,且满足
(O为坐标原点)求直线l的方程.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/48da128547c4cf9745e8e4b99988a3db.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1bb4a7482cb81b34df5a11807b8136a8.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/60cfc83cab6cd17842f28b9c37836673.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/709dd83332fdd081a71c83c83215ecf4.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a7ffe8515ff6183c1c7775dc6f94bdb8.png)
(1)求椭圆方程;
(2)过点
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/aa2091e987f62a94380e0ea7cb812519.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/43c9be47172c4891827b34f659d84826.png)
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