1 . 已知双曲线的左,右焦点分别为
,
,离心率
,且过点
.
(1)求双曲线的标准方程;
(2)直线
与双曲线交于M,N两点,求证:
.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f5076289823db419f94e9c0c8f4aafd9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a3fb78c5f885034612c0e030b920143d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5641df2cf6ae774d06733a2f73172a7b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/de2776e22e73b1bf3914056e1fa2aa3a.png)
(1)求双曲线的标准方程;
(2)直线
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e55aa0a20848c37c1892c567b2315e04.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/36aa6059d86873be18cb1e50bcb3465a.png)
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2021-01-17更新
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2卷引用:甘肃省白银市会宁县2020-2021学年高二上学期期末考试数学(文)试题