解题方法
1 . 已知
是椭圆
的两个焦点坐标,
是椭圆
上的一个定点,
是椭圆
上的两点,点
的坐标为
.
![](https://img.xkw.com/dksih/QBM/2022/4/29/2968712640217088/2968854119260160/STEM/a4ed759b4dbb41a2a8d4a93242f32ef3.png?resizew=189)
(1)求椭圆
的方程;
(2)当
两点关于
轴对称,且
为等边三角形时,求
的长;
(3)当
两点不关于
轴对称时,证明:△
不可能为等边三角形.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f393d91d36d6e54e8da54eb7df0429e9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c5db41a1f31d6baee7c69990811edb9f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c5795873a3546820b08ce85aadfe0222.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c5db41a1f31d6baee7c69990811edb9f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/01c74a907dda6bb7d9d56d009d9df253.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c5db41a1f31d6baee7c69990811edb9f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ac047e91852b91af639feec23a9598b2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/53a948d2f7732d7f03e986c63712089b.png)
![](https://img.xkw.com/dksih/QBM/2022/4/29/2968712640217088/2968854119260160/STEM/a4ed759b4dbb41a2a8d4a93242f32ef3.png?resizew=189)
(1)求椭圆
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c5db41a1f31d6baee7c69990811edb9f.png)
(2)当
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/01c74a907dda6bb7d9d56d009d9df253.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/81dea63b8ce3e51adf66cf7b9982a248.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6a11cb104b04c4e6a1be700e81da279a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f52a58fbaf4fea03567e88a9f0f6e37e.png)
(3)当
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/01c74a907dda6bb7d9d56d009d9df253.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/81dea63b8ce3e51adf66cf7b9982a248.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/726dafd729b858ae0c8b68c1c828b666.png)
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