已知点F是双曲线
(a>0,b>0)的左焦点,点E是该双曲线的右顶点,过点F且垂直于x轴的直线与双曲线交于A、B两点,△ABE是直角三角形,则该双曲线的离心率是( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/19f3fa0b40fb0d9b8c62e37316ab3b04.png)
A.3 | B.2 | C.![]() | D.![]() |
14-15高三上·四川·阶段练习 查看更多[2]
更新时间:2014-12-10 17:33:52
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【知识点】 双曲线离心率大小与双曲线形状的关系
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【推荐1】如图,椭圆
,
与双曲线
,
的离心率分别是
,
,
与
,则
,
,
,
的大小关系是( )
![](https://img.xkw.com/dksih/QBM/editorImg/2022/11/28/88cc1f2e-696d-4fb9-8e87-d573fe9fe98c.png?resizew=215)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b1241216f3c1cb5e73043dd1037f556d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/23f3ffe7abc59e2f65d827c8eab8d36a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ab94459e87c666facddbe1a23ae1899d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/384bef25d6a7f4c661e83498628c1409.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d33558881906c228c262ff8024dcfc4a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a33a99190a8fd29c36d5a002e3197cc5.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/178dddb45025f876802dbdf85b78771e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e211ee657b536a800de9fe192443229c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d33558881906c228c262ff8024dcfc4a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a33a99190a8fd29c36d5a002e3197cc5.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/178dddb45025f876802dbdf85b78771e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e211ee657b536a800de9fe192443229c.png)
![](https://img.xkw.com/dksih/QBM/editorImg/2022/11/28/88cc1f2e-696d-4fb9-8e87-d573fe9fe98c.png?resizew=215)
A.![]() ![]() ![]() ![]() ![]() ![]() ![]() | B.![]() ![]() ![]() ![]() ![]() ![]() ![]() |
C.![]() ![]() ![]() ![]() ![]() ![]() ![]() | D.![]() ![]() ![]() ![]() ![]() ![]() ![]() |
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【推荐2】双曲线
和
的离心率分别为
和
,若满足
,则下列说法正确是( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b55c9b7fe7a45fdf12d506cb18bc21f1.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/bc9147feba7d984a274d84c8f5548f21.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d33558881906c228c262ff8024dcfc4a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a33a99190a8fd29c36d5a002e3197cc5.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/89f3407ef276f7640d73b2986c27584c.png)
A.![]() ![]() |
B.![]() ![]() |
C.![]() ![]() |
D.![]() ![]() |
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