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解题方法
1 . 如图,已知双曲线
的右焦点为F,过点F的直线与双曲线的两条渐近线相交于M,N两点.若
,则双曲线的离心率为( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3040b6c904477030ecf8ba20b2b18759.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/67533988d89e1bbc0d4f733b3f4f6eb8.png)
![](https://img.xkw.com/dksih/QBM/editorImg/2023/6/13/73339a85-6158-410b-b30d-61f068abdde3.png?resizew=165)
A.![]() | B.![]() | C.2 | D.![]() |
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2023-06-08更新
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1240次组卷
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4卷引用:江苏省常州市华罗庚中学2022-2023学年高一创新班下学期期末数学试题
2 . 已知双曲线
:
,
,
分别为双曲线的左、右焦点,
为双曲线上的第一象限内的点,点
为
的内心,
的面积的取值范围是__________ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c5db41a1f31d6baee7c69990811edb9f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7c58fa4a337f0b81b991fb32e8e6e3c0.png)
![](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/dad2a36927223bd70f426ba06aea4b45.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e105760638b22b26ff8bec4354255e4c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/33d776753746914c2410a3946c357f35.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4066a709cfc78a4d56145c9970b7b852.png)
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