1 . 已知椭圆
的长轴长为4,离心率为
,一动圆
过椭圆
上焦点
,且与直线
相切.
![](https://img.xkw.com/dksih/QBM/editorImg/2022/11/4/35f90e3f-67cb-41d4-9d8c-4e1e2d74b821.png?resizew=230)
(1)求椭圆
的方程及动圆圆心轨迹
的方程;
(2)过
作两条互相垂直的直线
,
,其中
交椭圆
于
,
两点,
交曲线
于
,
两点,求四边形
面积的最小值.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e4ab0677015587e151ad5c9ef299772e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f89eef3148f2d4d09379767b4af69132.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/a0ed1ec316bc54c37c4286c208f55667.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/eefa44964db83759aff6fc8dd7ef8f28.png)
![](https://img.xkw.com/dksih/QBM/editorImg/2022/11/4/35f90e3f-67cb-41d4-9d8c-4e1e2d74b821.png?resizew=230)
(1)求椭圆
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b1241216f3c1cb5e73043dd1037f556d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/23f3ffe7abc59e2f65d827c8eab8d36a.png)
(2)过
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a0ed1ec316bc54c37c4286c208f55667.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2e9b0f5f44abbc6544a2f672b025b013.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3f6f17bc385bafb37e8f964e5eb99cd0.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2e9b0f5f44abbc6544a2f672b025b013.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b1241216f3c1cb5e73043dd1037f556d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dad2a36927223bd70f426ba06aea4b45.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/acc290b44635265137fdf13146b6a6d9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3f6f17bc385bafb37e8f964e5eb99cd0.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/23f3ffe7abc59e2f65d827c8eab8d36a.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/99393efa04579f3db5cf4f7e319f0440.png)
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名校
2 . 如图
是椭圆
的左、右焦点,
是椭圆上两点,满足
,若
,则直线
的斜率为( )
![](https://img.xkw.com/dksih/QBM/2021/1/31/2648077996539904/2650352524673024/STEM/4c7f2f77-9137-41cb-a489-f659ddba913f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/643ef7d761de0e794fc39937dc72ac6a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7dd54b9df3402ad91e2d34c40efe0c7a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f6bce3d91ca23b86d8c6625f2632e437.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a8242a481ac3496ad559f6f3d1beba4b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/642b8d80093378b2ef57036c3ce5562c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9ac86e1c253297a377e14fb9a1689be8.png)
![](https://img.xkw.com/dksih/QBM/2021/1/31/2648077996539904/2650352524673024/STEM/4c7f2f77-9137-41cb-a489-f659ddba913f.png)
A.-1 | B.![]() | C.![]() | D.![]() |
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