1 . 已知椭圆
:
的左右焦点分别为
,离心率为
,点
与椭圆上点的最远距离为
,过
且斜率为
的直线
与椭圆交于
两点.
(1)求椭圆
的标准方程;
(2)若
,求
的面积.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/895dc3dc3a6606ff487a4c4863e18509.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/48da128547c4cf9745e8e4b99988a3db.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4d2a97987f71835f519b462f5b8f5957.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8d5989c84e320b504511f23eeb6e7357.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/fcadfe766e5ce650c693bb394fb7473d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/35361e76a7c85d1886728c8d0200b234.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a3fb78c5f885034612c0e030b920143d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/893d4e8d70ea2c716ac7b6c1777a77f2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0f85fca60a11e1af2bf50138d0e3fe62.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f6bce3d91ca23b86d8c6625f2632e437.png)
(1)求椭圆
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/895dc3dc3a6606ff487a4c4863e18509.png)
(2)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c8b6e9d159b46e90a135caea6ad42aff.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9f09bfc54bcc9717ce8b05d98f65501c.png)
您最近一年使用:0次
解题方法
2 . 已知直线
与椭圆
交于
两点(直线
的斜率大于0),且
,若
的面积为
,则直线
的方程为__________ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0f85fca60a11e1af2bf50138d0e3fe62.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/533b93dd6eb6b474481247736699c76c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f6bce3d91ca23b86d8c6625f2632e437.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7a5f1641947153c80b987320885a2b57.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/cc7df99fe6438442a9453fc0c57fb703.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b45b8b000c9c286bff8a480dbf03b513.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/072c32b9948144d040a9a83f8d11ea8f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7a5f1641947153c80b987320885a2b57.png)
您最近一年使用:0次
名校
解题方法
3 . 已知椭圆
的离心率为
,其左、右焦点分别为F1、F2,点
是坐标平面内一点,且
,
(O为坐标原点).
(1)求椭圆C的方程;
(2)过点
且斜率为k的动直线l交椭圆于AB两点,在y轴上是否存在定点M,使以AB为直径的圆恒过该点?若存在,求出点M的坐标,若不存在,说明理由.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/85496d18c08287f8b09bfbf0a8c30d06.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8d5989c84e320b504511f23eeb6e7357.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/caf0d139c9810361b4971904a943856b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e3b759611100b2fb7cfe2f1049a52e41.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e53d76ca95e44110edb74fc2e6c2a733.png)
(1)求椭圆C的方程;
(2)过点
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/fdfc8c8987dd4573ca53c7ffd66b6500.png)
您最近一年使用:0次
2017-12-17更新
|
840次组卷
|
4卷引用:江苏省如东高级中学2018届高三上学期期中考试数学试题
江苏省如东高级中学2018届高三上学期期中考试数学试题【全国校级联考】]安徽省定远重点中学2018届高三5月高考模拟考试数学(理)试题【校级联考】湖南省湘西自治州四校2018-2019学年高二上学期12月联考数学(理)试题(已下线)天津市耀华中学2024届高三上学期第一次月考数学试题变式题16-20
解题方法
4 . 如图,M
在椭圆C:
上,经过点P
的直线
交椭圆于E,F(E在F上方),直线MP交椭圆于N.
(1)求椭圆C的方程
(2)若直线
的斜率为
,求
的值;
(3)若
求直线
的方程
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ef8db23a6354a9ddc21738a65739159a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/87b5beb07753e1a64cace92e99276bde.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8e9bb84212683743b29b27bd633f1af2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0f85fca60a11e1af2bf50138d0e3fe62.png)
(1)求椭圆C的方程
(2)若直线
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0f85fca60a11e1af2bf50138d0e3fe62.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/cf298f00799cbf34b4db26f5f63af92f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/efd86ebd003b3123a1edaf371abd8193.png)
(3)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ebdfea134c1c6dd7a6e93a2669ce7a74.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0f85fca60a11e1af2bf50138d0e3fe62.png)
![](https://img.xkw.com/dksih/QBM/editorImg/2022/9/28/8e45072b-6346-4677-b191-d90716846038.png?resizew=286)
您最近一年使用:0次
2017-11-30更新
|
380次组卷
|
3卷引用:江苏省如皋市2017~2018学年度高二年级第一学期教学质量调硏(二)理科试题
江苏省如皋市2017~2018学年度高二年级第一学期教学质量调硏(二)理科试题2017~2018学年度江苏省如皋市高二年级第一学期教学质量调硏(二)文科(已下线)2017-2018学年第一学期期末复习备考之精准复习模拟题高二江苏版数学试题(B卷)
名校
5 . 如图,在平面直角坐标系
中,已知椭圆
的左、右顶点分别为
,
,过右焦点
的直线
与椭圆
交于
,
两点(点
在
轴上方).
(1)若
,求直线
的方程;
(2)设直线
,
的斜率分别为
,
.是否存在常数
,使得
?若存在,求出
的值;若不存在,请说明理由.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7ee31829d0d4d5f779a957d7df8058ab.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/279cefeb5c389a37a71e5fd3925f5954.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/0f85fca60a11e1af2bf50138d0e3fe62.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c5db41a1f31d6baee7c69990811edb9f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dad2a36927223bd70f426ba06aea4b45.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/acc290b44635265137fdf13146b6a6d9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dad2a36927223bd70f426ba06aea4b45.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/81dea63b8ce3e51adf66cf7b9982a248.png)
(1)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8023ab5ed46e3788a0660a5777f09699.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0f85fca60a11e1af2bf50138d0e3fe62.png)
(2)设直线
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/20a541b81584a032f571159ea152c85a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/cb6ede9761b5b90f8dc137708e1ee90f.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/df64046e91b047037f19e4032e3b6de3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/34bc0ee0a95fab04edf648026f14b9ff.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/df64046e91b047037f19e4032e3b6de3.png)
您最近一年使用:0次
2017-05-04更新
|
1302次组卷
|
4卷引用:2020届江苏省南通市如东县栟茶中学高三下学期5月模拟数学试题
2020届江苏省南通市如东县栟茶中学高三下学期5月模拟数学试题江苏省苏北三市(连云港、徐州、宿迁)2017届高三年级第三次模拟考试数学试题【全国百强校】广东省佛山市第一中学2017-2018学年高二下学期期中考试数学(文)试题(已下线)2017-2018学年度下学期高二数学期末备考总动员C卷理科02
解题方法
6 . 若曲线
和曲线
有三个不同的交点,则
的取值范围是_________ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/fe1038ad6863b6b41b8a47c6fc46ee85.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/07b65383a4eaeb4e5cf5dca68e670da6.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f0a532e15e232cb4b99a8d4d07c89575.png)
您最近一年使用:0次
2017-02-08更新
|
752次组卷
|
2卷引用:2016-2017学年湖南长郡中学高二上期中数学(理)试卷