解题方法
1 . 已知抛物线
,椭圆
,点
为椭圆
上的一个动点,抛物线
的准线与椭圆
相交所得的弦长为
. 直线
与抛物线
交于
两点,线段
分别与抛物线
交于
两点,恰好满足
.
![](https://img.xkw.com/dksih/QBM/2021/5/17/2723257399418880/2724539356372992/STEM/9d130230-811a-47eb-966a-171c55d2a048.png?resizew=216)
(1)求椭圆
的标准方程;
(2)求以
为直径的圆面积的最大值.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ac8a3bffe545af2299cf999d44767206.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/35b47cd63b07d61f51a165a73ea73ade.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ac047e91852b91af639feec23a9598b2.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://staticzujuan.xkw.com/quesimg/Upload/formula/a7ffe8515ff6183c1c7775dc6f94bdb8.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0f85fca60a11e1af2bf50138d0e3fe62.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b1241216f3c1cb5e73043dd1037f556d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7a5f1641947153c80b987320885a2b57.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/492bc7bd2cbc751d2f6d2c77ec74268a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b1241216f3c1cb5e73043dd1037f556d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b0a44fa352255b81702d306cb32cf468.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d9b0447fc50fff9acc3e779a63bf16a5.png)
![](https://img.xkw.com/dksih/QBM/2021/5/17/2723257399418880/2724539356372992/STEM/9d130230-811a-47eb-966a-171c55d2a048.png?resizew=216)
(1)求椭圆
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/23f3ffe7abc59e2f65d827c8eab8d36a.png)
(2)求以
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09fcb20a6972108871adbf284f9e5006.png)
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