解题方法
1 . 平面直角坐标系
中, 已知椭圆
, 椭圆
.设点
为椭圆
上任意一点, 过点
的直线
交椭圆
于
两点, 射线
交椭圆
于点
.
(1)求
的值;
(2)求
面积的最大值.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1bd45cd8f526b3f07a0ee42fb1dc749a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/61d6874e2dd0338a7a4e6ef7bd3797c4.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/06f03f8760d6ccba676ba4c0595480cc.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7f1d5301613b8e602088609e092f95dd.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/dad2a36927223bd70f426ba06aea4b45.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/91570f6a5d4fdf7c757212083f2f06af.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2a30f3a8b673cc28bd90c50cf1a35281.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/511d4282906ecdb624436ea61116430a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8e3924208a4dbb2e4ecc0c65e5bd09ba.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2a30f3a8b673cc28bd90c50cf1a35281.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/acc290b44635265137fdf13146b6a6d9.png)
(1)求
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/85d42bb7d72fa87d02042c86a4c4989a.png)
(2)求
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ebf0eade2bf666f4752f8ccb8d588a7d.png)
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2 . 已知椭圆
的左、右焦点是
,且以
为直径的圆的面积为
,点P是椭圆C上任一点,且
的面积的最大值为
.
(1)求椭圆C的方程;
(2)若直线l与椭圆C交于A,B两点,且原点O到直线l的距离为1,求
面积的取值范围.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ad523e69a1bf925e73a22900b9855df2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4d2a97987f71835f519b462f5b8f5957.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/643ef7d761de0e794fc39937dc72ac6a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/70f5389990c3a0c5373f3bd9fb2454c9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/33d776753746914c2410a3946c357f35.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a7ffe8515ff6183c1c7775dc6f94bdb8.png)
(1)求椭圆C的方程;
(2)若直线l与椭圆C交于A,B两点,且原点O到直线l的距离为1,求
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/866b81a8384cce4f24867baca2e6820c.png)
您最近一年使用:0次
2022-12-25更新
|
1372次组卷
|
6卷引用:四川省达州市开江县开江中学2022-2023学年高三下学期第6次模拟数学试题
名校
3 . 已知椭圆
的长轴长为4,点
在
上.
(1)求椭圆
的方程;
(2)设直线
与
交于
,
两点,若
(
为坐标原点),求
的值.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e7e5578ca83f5bd5c285994061b9c015.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8cb41790d31c43cd8eb13c5305f8f242.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2a30f3a8b673cc28bd90c50cf1a35281.png)
(1)求椭圆
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2a30f3a8b673cc28bd90c50cf1a35281.png)
(2)设直线
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/94a8d6991873e79b298984a95b8954b9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2a30f3a8b673cc28bd90c50cf1a35281.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/22905409f038387f0e954a47384b60a9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1dde8112e8eb968fd042418dd632759e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f0a532e15e232cb4b99a8d4d07c89575.png)
您最近一年使用:0次
2020-11-02更新
|
348次组卷
|
7卷引用:四川省达州市外国语学校2022-2023学年高二下学期期中考试数学(文) 试题