名校
解题方法
1 . 已知椭圆
分别为它的左右焦点,
分别为它的左右顶点,点
是椭圆上的一个动点,下列结论中正确的有( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4bbaadaa9ace3f296ebe124dcd6032a9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/01c74a907dda6bb7d9d56d009d9df253.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dad2a36927223bd70f426ba06aea4b45.png)
A.存在![]() ![]() |
B.![]() ![]() |
C.直线![]() ![]() ![]() |
D.![]() ![]() |
您最近一年使用:0次
2023-11-17更新
|
441次组卷
|
2卷引用:山东省聊城市2023-2024学年高二上学期11月期中数学试题
名校
2 . 已知焦点在
轴上的抛物线
过点
,椭圆
的两个焦点分别为
,其中
与
的焦点重合,过
与长轴垂直的直线交椭圆
于
两点且
,曲线
是以原点为圆心以
为半径的圆.
(1)求
与
及
的方程;
(2)若动直线
与圆
相切,且与
交与
两点,三角形
的面积为
,求
的取值范围.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d053b14c8588eee2acbbe44fc37a6886.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/afb6101e45f8d7013bc3dc4197188c0c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8a1f3420079628d3636d7f14d7707a0e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6acfc9319b4dfcefd8f0bb0338f7cbf2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/882651b776851f3f0665de12da6ed47d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ce6758b8b074d33ea9e82818593656e1.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/afb6101e45f8d7013bc3dc4197188c0c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a09a8ac969e5cec3be6abf4ff44c692e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6acfc9319b4dfcefd8f0bb0338f7cbf2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7ae1567d8f98fabc1a3948f8602cc5e7.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/aca7009bdcae42a809c851a7b8f1d61d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9dc6d96c65b0061a7a05a678a8779f5c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2817b6f5ccf1d79304473234b1a725ef.png)
(1)求
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/afb6101e45f8d7013bc3dc4197188c0c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6acfc9319b4dfcefd8f0bb0338f7cbf2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9dc6d96c65b0061a7a05a678a8779f5c.png)
(2)若动直线
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0f85fca60a11e1af2bf50138d0e3fe62.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9dc6d96c65b0061a7a05a678a8779f5c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6acfc9319b4dfcefd8f0bb0338f7cbf2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ad57e3727b7bbd795b05332fbf9649e9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/df37f75ee83b3d127e3c783863561137.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/cf231f8f86fb922df4ca0c87f044cec3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/cf231f8f86fb922df4ca0c87f044cec3.png)
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