名校
解题方法
1 . 已知P为椭圆E:![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1d7aea48c44781a844b5c19191f70f61.png)
上任意一点,F1,F2为左、右焦点,M为PF1中点.如图所示:若
,离心率
.
![](https://img.xkw.com/dksih/QBM/editorImg/2022/11/16/5fc9599c-3157-486c-9584-f1123b4e5166.png?resizew=183)
(1)求椭圆E的标准方程;
(2)已知直线l倾斜角为135°,经过
且与椭圆交于A,B两点,求弦长|AB|的值.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1d7aea48c44781a844b5c19191f70f61.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3f82eb4ba631d0f50d848aa6e576b379.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/38267acaa45fd5caee5ba64465c59d89.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5de85df85401e7e8da683ea4a784963c.png)
![](https://img.xkw.com/dksih/QBM/editorImg/2022/11/16/5fc9599c-3157-486c-9584-f1123b4e5166.png?resizew=183)
(1)求椭圆E的标准方程;
(2)已知直线l倾斜角为135°,经过
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/879a4007beef22e009248112d664f7c2.png)
您最近一年使用:0次
2022-11-11更新
|
1262次组卷
|
3卷引用:重庆市第八中学校2022-2023学年高二上学期期中数学试题
名校
解题方法
2 . 在平面直角坐标系
中,已知椭圆
的长轴为4.过左顶点
且倾斜角为
的直
线与椭圆的另一个交点为
,与
轴交于点
,且
.
(1)求椭圆
的标准方程;
(2)过点
且不与
轴重合的直线
交椭圆
于点
,
,连接
并延长交
于点
.若
,求实数
的取值范围.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7ee31829d0d4d5f779a957d7df8058ab.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a0bfa5840675e634a9f5e1f602775e76.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5963abe8f421bd99a2aaa94831a951e9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/15615de1a6df206dbd081251f676578e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2e9b0f5f44abbc6544a2f672b025b013.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7f9e8449aad35c5d840a3395ea86df6d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d053b14c8588eee2acbbe44fc37a6886.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c5db41a1f31d6baee7c69990811edb9f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9ccda4db58115289970a54494238514f.png)
(1)求椭圆
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4b454cdb97c408300b50d945f002c2cb.png)
(2)过点
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4a08e1f3a9fc4265c20cb381071a322e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/81dea63b8ce3e51adf66cf7b9982a248.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3f6f17bc385bafb37e8f964e5eb99cd0.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4b454cdb97c408300b50d945f002c2cb.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/f5dbfcff5c8b5d4e312a9247b2b8b0a4.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d50703c46b6153945d718b198f03b4b5.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dad2a36927223bd70f426ba06aea4b45.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/437ac43a83567fbb80819b118a6e6d5d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/df64046e91b047037f19e4032e3b6de3.png)
您最近一年使用:0次
名校
3 . 已知椭圆C:
(a>b>0)的左右焦点分别为F1(-c,0)和F2(c,0),上顶点为M,且△MF1F2为等边三角形,点M到左右顶点的距离之和为
.
![](https://img.xkw.com/dksih/QBM/editorImg/2022/11/9/a2fcba21-0725-470a-8c9a-3c116b953510.png?resizew=270)
(1)求椭圆C的标准方程;
(2)过点F1的直线l交椭圆C于A,B两点,若以AB为直径的圆经过点F2,求直线l的方程.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1d7aea48c44781a844b5c19191f70f61.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dbff61fe9d4e93d7cc338489d1c99c40.png)
![](https://img.xkw.com/dksih/QBM/editorImg/2022/11/9/a2fcba21-0725-470a-8c9a-3c116b953510.png?resizew=270)
(1)求椭圆C的标准方程;
(2)过点F1的直线l交椭圆C于A,B两点,若以AB为直径的圆经过点F2,求直线l的方程.
您最近一年使用:0次
名校
解题方法
4 . 已知椭圆
的左、右焦点为
,
,P是椭圆上的点,当点P在椭圆上运动时,
面积的最大值为4,当
轴时,
面积为
.
![](https://img.xkw.com/dksih/QBM/2020/11/27/2602194757746688/2606110916067328/STEM/17bd12fd9a07479c8871dc5c1ebfc0d0.png?resizew=299)
(1)求椭圆C的标准方程;
(2)如图,若直线
、
交椭圆另一点分别是A、B,点P不在x轴上,且
,求点P的坐标.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c6b0dadb875cccce870b69409a476606.png)
![](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/33d776753746914c2410a3946c357f35.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0aa9a6be97b5f275d55697fd3cd0a442.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/33d776753746914c2410a3946c357f35.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/95bacae35b6e16a0a33c2bdc6bc07df7.png)
![](https://img.xkw.com/dksih/QBM/2020/11/27/2602194757746688/2606110916067328/STEM/17bd12fd9a07479c8871dc5c1ebfc0d0.png?resizew=299)
(1)求椭圆C的标准方程;
(2)如图,若直线
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9ac86e1c253297a377e14fb9a1689be8.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0739793f234f8e86adc6177801ae7295.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c50c55951be894ce25e131c7cc19e45d.png)
您最近一年使用:0次
5 . 已知椭圆E的中心在坐标原点,两个焦点分别为
,
,短半轴长为2.
![](https://img.xkw.com/dksih/QBM/editorImg/2022/12/8/9fd3418d-c32e-4d3b-a469-48b0921fbbe9.png?resizew=173)
(1)求椭圆E的标准方程;
(2)过焦点
的直线l交椭圆E于A,B两点,满足
,求直线l的方程.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/21e9d55173f26afdf0e37462b556a605.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b6d6f746c2355072d914591bf60c3801.png)
![](https://img.xkw.com/dksih/QBM/editorImg/2022/12/8/9fd3418d-c32e-4d3b-a469-48b0921fbbe9.png?resizew=173)
(1)求椭圆E的标准方程;
(2)过焦点
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a3fb78c5f885034612c0e030b920143d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/49d0c7e52cee8894b483ccf22c836845.png)
您最近一年使用:0次
2019-12-23更新
|
388次组卷
|
2卷引用:重庆市云阳县2019-2020学年高二上学期期中考试数学(文)试题
名校
6 . 已知椭圆
的左右焦点分别为
,且
为抛物线
的焦点,
的准线被
和圆
截得的弦长分别为
.
(1)求
方程;
(2)已知动直线
与抛物线
相切(切点异于原点),且与椭圆
相交于
两点,若椭圆
上存在点
,使得
,求实数
的取值范围.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/50e48d1edbfb6a5a48f9a95551d1dbc2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4d2a97987f71835f519b462f5b8f5957.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a3fb78c5f885034612c0e030b920143d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/79c9c87eba774f6bc072663d32d11fc4.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/23f3ffe7abc59e2f65d827c8eab8d36a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b1241216f3c1cb5e73043dd1037f556d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1e4be819fc47b2aa19ab2022b3dfeb6f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/202aef7d560bb52f493e11159cc6cc41.png)
(1)求
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/21e9feabc99f62ee569b460e61526e2e.png)
(2)已知动直线
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0f85fca60a11e1af2bf50138d0e3fe62.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/23f3ffe7abc59e2f65d827c8eab8d36a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b1241216f3c1cb5e73043dd1037f556d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7789a500686c7a73770404ead6af0590.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b1241216f3c1cb5e73043dd1037f556d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/acc290b44635265137fdf13146b6a6d9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/daa85ab7da6e54aaea66a5b3b1ef6e8b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/df64046e91b047037f19e4032e3b6de3.png)
您最近一年使用:0次
2018-11-30更新
|
897次组卷
|
5卷引用:【全国百强校】重庆市第一中学2019届高三上学期期中考试数学(理)试题