解题方法
1 . 已知双曲线
,A,B为左右顶点,双曲线
的右焦点F到其渐近线的距离为1,点P为双曲线上异于A,B一点,且
.
(1)求双曲线
的标准方程;
(2)设直线l与
相切,与其渐近线分别相交于M、N两点,求证:
的面积为定值.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/01a35802f04f793ebd9c8be4c9e21cea.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4bcd8ee2d8367c167d6ae0abc741b6b8.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6dd7ac57d179a9fa8e9fc9a2b0cbf4a1.png)
(1)求双曲线
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4bcd8ee2d8367c167d6ae0abc741b6b8.png)
(2)设直线l与
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4bcd8ee2d8367c167d6ae0abc741b6b8.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/25dd698d57d1cf239eb8752aecaaa4f4.png)
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