已知双曲线
的右焦点为
,以
(
为坐标原点)为直径的圆与
的渐近线分别交于A,B两点(异于点
).若
,则
的离心率为( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8a2cfa22139b3e9c9a73500e1ba19f52.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a0ed1ec316bc54c37c4286c208f55667.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6cad4595d5352b2884568a59d8d766a4.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1dde8112e8eb968fd042418dd632759e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c5db41a1f31d6baee7c69990811edb9f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1dde8112e8eb968fd042418dd632759e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/82422dc6e66079a8d2f232d41cce1773.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c5db41a1f31d6baee7c69990811edb9f.png)
A.![]() | B.2 | C.![]() | D.![]() |
更新时间:2023-04-06 21:08:17
|
相似题推荐
单选题
|
适中
(0.65)
名校
【推荐1】已知点
,直线
,且点
不在直线
上,则点
到直线
的距离
;类比有:当点
在函数
图像上时,距离公式变为
,根据该公式可求
的最小值是( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7775aa57ca0e62216f3039ed88dceed0.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3783208484c038053c9585a1040223a2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dad2a36927223bd70f426ba06aea4b45.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0f85fca60a11e1af2bf50138d0e3fe62.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dad2a36927223bd70f426ba06aea4b45.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0f85fca60a11e1af2bf50138d0e3fe62.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ea2f6d4652704980120d3d0fbca820a9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7775aa57ca0e62216f3039ed88dceed0.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/942c2141d01bde6b48210c56a17fc75e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4fd07dd68b70aa01521476da603187fd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4e53c9d70f16a0cfb2f7fd39c2ab8075.png)
A.![]() | B.![]() |
C.![]() | D.![]() |
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【推荐2】已知抛物线
:
焦点为
,
是抛物线
上一点,且点
到抛物线的准线的距离为3,点
在抛物线
上运动,则点
到直线
:
的最小距离是( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c5db41a1f31d6baee7c69990811edb9f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/62c2f156b05838deaae6a35acad242af.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a0ed1ec316bc54c37c4286c208f55667.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7b15bc087b10ca24de082ac70fff6496.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c5db41a1f31d6baee7c69990811edb9f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ac047e91852b91af639feec23a9598b2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dad2a36927223bd70f426ba06aea4b45.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/0f85fca60a11e1af2bf50138d0e3fe62.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/97c6d3c99b7004603ba9ea9c341b8b3f.png)
A.![]() | B.![]() | C.1 | D.![]() |
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解题方法
【推荐1】已知双曲线
的上、下焦点分别是
,
若双曲线C上存在点P使得
,
,则其离心率的取值范围是( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c5651ad312b44662f444de95a6318826.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/6d9abcb56a71b4f24fde65651b53ccea.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ef8e7e9e96ef437da93557df081a2ec0.png)
A.![]() | B.![]() | C.![]() | D.![]() |
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解题方法
【推荐2】已知双曲线C:
的右焦点F的坐标为
,点P在第一象限且在双曲线C的一条渐近线上,O为坐标原点,若
,
,则双曲线C的离心率为( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/50fe7ad2404879870c9bf18bf03fdf2d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7615495e833d173a8845b19405ba3a10.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6297372e4b605fd93cd77099afd3c527.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/fafc8af2354537f510efa1765834af92.png)
A.![]() | B.2 | C.![]() | D.3 |
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