点
是双曲线
的右焦点,圆
与双曲线C的一条渐近线交于A、B,若
为直角三角形,则双曲线的离心率为________ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/24550b13dbecf7d86c7054250e987274.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/83bf4fd84818abac17a9d21237ac5ce5.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/725de15053d1e8a3212a85aee216f497.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/004104bafb5f30338123d4ea2b7fedde.png)
更新时间:2023-04-05 22:27:50
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【推荐1】直线
与圆
相交于M,N两点,若
,则![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dd707b69a11f8de5566f23c1a2a9ff5a.png)
___________ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6767830cc1811f0f4ea5a008fdc7e723.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3dd04ef00e1e7154aa4a3edef5533994.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a14a85d5d71e238da9f4e499faec0f30.png)
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解题方法
【推荐1】在平面直角坐标系
中有双曲线
,以原点为圆心,原点到双曲线的右焦点的距离为半径作圆,当
时,两条渐近线与圆截得的扇形面积为
,则双曲线
的离心率为__________ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7ee31829d0d4d5f779a957d7df8058ab.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/83bf4fd84818abac17a9d21237ac5ce5.png)
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【推荐2】双曲线
的渐近线方程为________ ,离心率为________
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/43a218602e8e3a52f74f760059aa7014.png)
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【推荐1】双曲线
的焦距是__________ ,离心率是__________ .
![](https://img.xkw.com/dksih/QBM/2017/4/23/1671982596628480/1675058607816704/STEM/b8e0e21553c54c5ba7b4c06446892b5d.png?resizew=79)
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解题方法
【推荐2】已知双曲线
的左、右顶点分别为
,左焦点为
,
为
上一点,且
轴,过点
的直线
与线段
交于点
(异于
,
),与
轴交于点
,直线
与
轴交于点
,若
(
为坐标原点),则
的离心率为______ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8a2cfa22139b3e9c9a73500e1ba19f52.png)
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