1 . 已知A、B是椭圆
上两点,且
.(O为坐标原点)
(1)求证:
为定值,并求△AOB面积的最大值与最小值;
(2)过O作OH⊥AB于H,求点H的轨迹方程.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c82e7d9f4f7ace849e09e9adcb786b7f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/cc11e7549cfce9220e70250ac943e457.png)
(1)求证:
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/acb8956ebcde7cf0f1011a2fc1888e15.png)
(2)过O作OH⊥AB于H,求点H的轨迹方程.
您最近一年使用:0次
解题方法
2 . 已知
分别是椭圆
的左、右焦点,Q是椭圆E的右顶点,
,且椭圆E的离心率为
.
![](https://img.xkw.com/dksih/QBM/editorImg/2023/3/14/4abf78fe-2e66-48b3-9284-2c0927aed9d9.png?resizew=304)
(1)求椭圆E的方程.
(2)过
的直线交椭圆E于A,B两点,在x轴上是否存在一定点P,使得
,
为正实数.如果存在,求出点P的坐标;如果不存在,说明理由.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4d2a97987f71835f519b462f5b8f5957.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e80aef0c3cea9d23a25a70efca2f706b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/404e0550b1e608ed7cc21a96bcbdb778.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f89eef3148f2d4d09379767b4af69132.png)
![](https://img.xkw.com/dksih/QBM/editorImg/2023/3/14/4abf78fe-2e66-48b3-9284-2c0927aed9d9.png?resizew=304)
(1)求椭圆E的方程.
(2)过
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f5076289823db419f94e9c0c8f4aafd9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ae6b610b08e83e5da314bbfcc3579cee.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/df64046e91b047037f19e4032e3b6de3.png)
您最近一年使用:0次
2023-03-14更新
|
552次组卷
|
6卷引用:甘肃省陇南市2023届高三一模理科数学试题
名校
解题方法
3 . 已知
是椭圆
的左、右焦点,点
在椭圆
上.当
最大时,求
( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4d2a97987f71835f519b462f5b8f5957.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/279cefeb5c389a37a71e5fd3925f5954.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dad2a36927223bd70f426ba06aea4b45.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c5db41a1f31d6baee7c69990811edb9f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c94fe48bf7af022ecbbe13833fdcc2c8.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a6b94c37fc7ee5a79bac22ccef2c686f.png)
A.![]() | B.![]() | C.![]() | D.![]() |
您最近一年使用:0次
2023-01-11更新
|
809次组卷
|
7卷引用:甘肃省陇南市徽县第一中学2023-2024学年高二上学期期末模拟数学试题
甘肃省陇南市徽县第一中学2023-2024学年高二上学期期末模拟数学试题河北省唐山市开滦第一中学2022-2023学年高二上学期期末数学试题(已下线)广东省汕头市2023届高三第一次模拟数学试题变式题6-10(已下线)第19讲 椭圆及其标准方程7种常见考法归类(2)(已下线)第01讲 3.1.1椭圆及其标准方程(2)(已下线)专题06 椭圆性质综合归类-【巅峰课堂】2023-2024学年高二数学上学期期中期末复习讲练测(人教A版2019选择性必修第一册)广东省东莞市石竹实验学校2023-2024学年高二上学期12月月考数学试题
4 . 在平面直角坐标系
中,已知椭圆
=
与不过坐标原点
的直线
=
相交于
两点,线段
的中点为
,若
的斜率之积为
,则椭圆
的离心率为___________ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7f2beb91f10d2d8f2aa0dcc3f5cd1598.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9222e4cb98f13e3a10393b06d6c64e9c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a2e02a7825f310c6201dfd1789f084c5.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1dde8112e8eb968fd042418dd632759e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d11734818b03d72f2b115092aced2fe5.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/aa94877d5d21238547e6ae877e378403.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/04f57bf36e92fae170161eca953aa767.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b79dd200766db27fb90d6bd1992cf658.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ac047e91852b91af639feec23a9598b2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/64a933b6b9d4d9d63a9197f866195831.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ea0ad9e378603a095f56d2d320062900.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c5db41a1f31d6baee7c69990811edb9f.png)
您最近一年使用:0次
2017-12-26更新
|
1066次组卷
|
3卷引用:甘肃省陇南市徽县第一中学2023-2024学年高二上学期期末模拟数学试题