解题方法
1 . 已知双曲线
的离心率是
,
,
分别是其左、右焦点,过点
且与双曲线经过第一、三象限的渐近线平行的直线方程是( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0e9efc511fa9b4ad4ca983cc5b1b6166.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5ca7d1107389675d32b56ec097464c14.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a09a8ac969e5cec3be6abf4ff44c692e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ce6758b8b074d33ea9e82818593656e1.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ce6758b8b074d33ea9e82818593656e1.png)
A.![]() | B.![]() |
C.![]() | D.![]() |
您最近一年使用:0次
解题方法
2 . 已知双曲线
的焦距为
,则双曲线
的焦点到渐近线的距离为( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a1c6960ebff0185b97ebd916b37abbed.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6f8c4c029e552954bd493b49aeab82d5.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c5db41a1f31d6baee7c69990811edb9f.png)
A.![]() | B.![]() | C.![]() | D.![]() |
您最近一年使用:0次
解题方法
3 . 若双曲线方程为
,
为双曲线的一个焦点,点
在该双曲线上,
为坐标原点,则( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c615fab3bffb9f6eeb9bf4591a458b0a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a0ed1ec316bc54c37c4286c208f55667.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dad2a36927223bd70f426ba06aea4b45.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1dde8112e8eb968fd042418dd632759e.png)
A.双曲线的离心率为![]() | B.双曲线的渐近线方程为![]() |
C.双曲线的焦距为![]() | D.![]() ![]() |
您最近一年使用:0次
4 . 已知
,
是双曲线
的左焦点,
是双曲线右支上的动点,则
的最小值为_________ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/fa3305ac6ef7117a61b3ed9fffb03030.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a0ed1ec316bc54c37c4286c208f55667.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c477e5ade921ffa8377c4719319380ff.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dad2a36927223bd70f426ba06aea4b45.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/44331dd46961efa418e3261d4014b2f7.png)
您最近一年使用:0次
解题方法
5 . 双曲线
的焦点到渐近线的距离为( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8ee348b3e89083a215551a42e9cd6bc9.png)
A.![]() | B.2 | C.![]() | D.![]() |
您最近一年使用:0次
解题方法
6 . 已知
为坐标原点,双曲线
:
(
,
)的左、右焦点分别为
,
,离心率为
,
为双曲线
上一点,
平分
,且
,
,则下列结论正确的是( )
![](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/19f3fa0b40fb0d9b8c62e37316ab3b04.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/94440d3e4c073f94f2b266ff99d50e74.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/67ca5fd57c2c2fcc3c7a574fdd1467d9.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/31f8f7e40ba386c0a9675896b52752d6.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ac047e91852b91af639feec23a9598b2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c5db41a1f31d6baee7c69990811edb9f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/411461db15ee8086332c531e086c40c7.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e22a3c7e465a61e9849dd223261be47c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2ee06b900fb34f246b0b310a3127fb96.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/60f1431ccaf43d79e0ba0ab90363c5d7.png)
A.双曲线![]() ![]() | B.![]() |
C.双曲线![]() ![]() | D.点![]() ![]() |
您最近一年使用:0次
解题方法
7 . 已知双曲线
的渐近线方程为
,则该双曲线的焦点坐标分别为( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/02de30f4ba2ef4076fa8d7844edb24b4.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4f9162c9103bf7478840d17dadbd37b4.png)
A.![]() ![]() | B.![]() ![]() |
C.![]() ![]() | D.![]() ![]() |
您最近一年使用:0次
8 . 双曲线
的焦距为( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/43a218602e8e3a52f74f760059aa7014.png)
A.![]() | B.![]() | C.2 | D.4 |
您最近一年使用:0次
解题方法
9 . 已知双曲线
的左、右焦点分别为
,过
作其中一条渐近线的垂线, 垂足为P, 则
为( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f1f939723c6f6042ae404f7277f6b1a5.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4d2a97987f71835f519b462f5b8f5957.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f5076289823db419f94e9c0c8f4aafd9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4de0159daeb62cb68801c7a6e971f39a.png)
A.![]() | B.![]() | C.2 | D.4 |
您最近一年使用:0次
名校
解题方法
10 . 直线
与双曲线
的两条渐近线交于
两点,
分别为双曲线的左、右焦点.
(1)求过点
的圆的方程;
(2)设(1)中的圆和双曲线在第一象限交于点
,求圆在点
处的切线方程.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c50866229ec5a3640fb250f9bd2192b3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/43a218602e8e3a52f74f760059aa7014.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/20ebaa32f4f1f4f807ca9aeb7fb29951.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7638c88f01d609d79947033ed4ff36a2.png)
(1)求过点
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2ea98501007b43f9e3253d4ae91a1ae9.png)
(2)设(1)中的圆和双曲线在第一象限交于点
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dad2a36927223bd70f426ba06aea4b45.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dad2a36927223bd70f426ba06aea4b45.png)
您最近一年使用:0次
2024-02-18更新
|
92次组卷
|
2卷引用:山东省菏泽市2023-2024学年高二上学期期末教学质量检测数学试题