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解题方法
1 . 已知椭圆M与椭圆
有相同的焦点,且椭圆M过点
.点P在椭圆M上,
(1)求椭圆M的标准方程;
(2)设椭圆M的焦点为
,若
的面积为1,求点P的坐标.
(3)若
,
是椭圆M的左右顶点,点P与
,
不重合,证明:
为定值.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0cdf9283801878a6c22bf846afda22d6.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4adee6fafc9dfb7126f0fb672518eb41.png)
(1)求椭圆M的标准方程;
(2)设椭圆M的焦点为
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4d2a97987f71835f519b462f5b8f5957.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/33d776753746914c2410a3946c357f35.png)
(3)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a18722354086c42e62334983fc50eb6a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/cd3b9e816b14051f785aa5aae72b8eed.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a18722354086c42e62334983fc50eb6a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/cd3b9e816b14051f785aa5aae72b8eed.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/10434ca8e058511b0dbcf652398f5b97.png)
您最近一年使用:0次
2 . 已知焦点在
轴上,中心在原点,离心率为
的椭圆经过点
,动点
(不与定点
重合)均在椭圆上,且直线
与
的斜率之和为1,
为坐标原点.
(1)求椭圆
的方程;
(2)求证直线
经过定点;
(3)求
的面积
的最大值
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/81dea63b8ce3e51adf66cf7b9982a248.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/860884c0017c8bceb5b0edff796c144f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/97caea8ea20c118920d887d2ee9ac83d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/01c74a907dda6bb7d9d56d009d9df253.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ac047e91852b91af639feec23a9598b2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b66a5b7813e902306477f91f9f4084cd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8e5c62f22d7afc5627fcb86599faa8e1.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1dde8112e8eb968fd042418dd632759e.png)
(1)求椭圆
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/895dc3dc3a6606ff487a4c4863e18509.png)
(2)求证直线
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f52a58fbaf4fea03567e88a9f0f6e37e.png)
(3)求
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e2b83beedb3438153e6f728545fe3e03.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/cf231f8f86fb922df4ca0c87f044cec3.png)
您最近一年使用:0次
2021-05-27更新
|
749次组卷
|
3卷引用:北京市海淀区2021届高三年级基础练习数学试题