名校
解题方法
1 . 若中心在原点的椭圆
与双曲线
有共同的焦点,且它们的离心率互为倒数,圆
的直径是椭圆
的长轴,C是椭圆的上顶点,动直线AB过C点且与圆
交于A、B两点,CD垂直于AB交椭圆于点D.
![](https://img.xkw.com/dksih/QBM/2019/7/5/2240233815678976/2240518978707456/STEM/9f6605714e7442b6a927ee31a788b135.png?resizew=339)
(1)求椭圆
的方程;
(2)求
面积的最大值,并求此时直线AB的方程.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/50e48d1edbfb6a5a48f9a95551d1dbc2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b5848e50805496263d52dcbde9671a89.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/23f3ffe7abc59e2f65d827c8eab8d36a.png)
![](https://img.xkw.com/dksih/QBM/2019/7/5/2240233815678976/2240518978707456/STEM/9f6605714e7442b6a927ee31a788b135.png?resizew=339)
(1)求椭圆
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b1241216f3c1cb5e73043dd1037f556d.png)
(2)求
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/80c505c02c59313fe0108392a5bf5127.png)
您最近一年使用:0次