已知双曲线
的中心在坐标原点,左右焦点分别为
,渐近线分别为
,过点
且与
垂直的直线分别交
于
两点,且
,则双曲线的离心率为________ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c5db41a1f31d6baee7c69990811edb9f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4d2a97987f71835f519b462f5b8f5957.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/44434b647ec546fe787e2164e0be6cd2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a3fb78c5f885034612c0e030b920143d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2e9b0f5f44abbc6544a2f672b025b013.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/44434b647ec546fe787e2164e0be6cd2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f6bce3d91ca23b86d8c6625f2632e437.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8f795bef9a58aa9fcc935dcb0026f492.png)
更新时间:2022-02-10 23:42:13
|
【知识点】 求双曲线的离心率或离心率的取值范围
相似题推荐
填空题-单空题
|
适中
(0.65)
名校
【推荐1】双曲线
的左、右焦点分别为
,渐近线分别为
,点P在第一象限内且在
上,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/4d2a97987f71835f519b462f5b8f5957.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/44434b647ec546fe787e2164e0be6cd2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2e9b0f5f44abbc6544a2f672b025b013.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7f8f3d4b50be2a36212cd7ee0e6ac90a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/46af796a0378ecb4170b9733f7863b70.png)
您最近一年使用:0次
填空题-单空题
|
适中
(0.65)
【推荐2】已知圆
上有且仅有三个点到双曲线
的一条渐近线的距离为1,则该双曲线的离心率为________ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ff638a3d0f0520e77c7a1f022d34c54f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/19f3fa0b40fb0d9b8c62e37316ab3b04.png)
您最近一年使用:0次