已知双曲线
的左、右焦点分别为
,
、M,N为双曲线一条渐近线上两点,A为双曲线的右顶点,若四边形
为矩形,且
,则双曲线C的离心率为______ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/83bf4fd84818abac17a9d21237ac5ce5.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/c482f270b5d1961f03d5a58c9912867c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a54b5ccb0089cd7f329d9a5a12d06d48.png)
更新时间:2024-02-20 15:00:34
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适中
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名校
解题方法
【推荐1】
的内角
的对边分别为
,已知
且满足
则![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b1f9fabbbe61a759e52ec975215e2e7c.png)
__________ ;
面积的最大值为__________
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填空题-双空题
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适中
(0.65)
名校
解题方法
【推荐2】在
中,角
的对边分别为
,若
,
,则![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5ccd4162c7d09f970cb77cadacdbe521.png)
___________ ,
的取值范围是___________ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/15c0dbe3c080c4c4636c64803e5c1f76.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/24e0c10fb103930eabd5fa18e8f9bb06.png)
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填空题-单空题
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适中
(0.65)
解题方法
【推荐1】如图,已知过原点的直线
与双曲线
相交于
两点,双曲线
的右支上一点
满足
,若直线
的斜率为-3,则双曲线
的离心率为__________ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0f85fca60a11e1af2bf50138d0e3fe62.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/83bf4fd84818abac17a9d21237ac5ce5.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/dad2a36927223bd70f426ba06aea4b45.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c8fef2ef7025d12b31cd2fe668fd3bf0.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d2be49c37e30a3ced0364c3e74d8c687.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c5db41a1f31d6baee7c69990811edb9f.png)
![](https://img.xkw.com/dksih/QBM/editorImg/2023/5/10/44e83020-acde-4736-8586-d7e8ec2641df.png?resizew=152)
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填空题-单空题
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适中
(0.65)
解题方法
【推荐2】已知双曲线
,过
轴上点
的直线与双曲线的右支交于
两点(
在第一象限),直线
交双曲线左支于点
(
为坐标原点),连接
.若
,则该双曲线的离心率为__________ .
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