已知椭圆
与双曲线
有相同的焦点,则双曲线
的一条斜率为正的渐近线的倾斜角的取值范围为
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/eec662f901b9f72ed6e913034a8fe652.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5702c1d1820d6ca892b8cf24200f52ee.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/23f3ffe7abc59e2f65d827c8eab8d36a.png)
A.![]() | B.![]() | C.![]() | D.![]() |
更新时间:2016-12-04 13:34:37
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【推荐1】椭圆
与双曲线
有公共焦点
、
,P是它们的一个交点,则以下判断正确的个数是
的面积为1.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/83156abd2f9028d7dc1211566772ab0e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ff4228aa6ea043fa2746d618f573a424.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/36781c98a7ca86048c9e81ed9a806b9d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2a1a2ba3ce05677040748d0e64fd91b9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7fa8922bdb9aabd4320ab6f07dbb8325.png)
A.1 | B.2 | C.3 | D.4 |
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【推荐2】已知曲线
,关于曲线
的四个结论:
①若曲线
表示双曲线,则
;②曲线
的焦点可以在x轴上,也可以在y轴上;
③若曲线
表示椭圆,则
;④曲线
可能表示圆.
其中所有正确的编号为( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ffb508c091dc91121f6b7b975ccb183d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c5db41a1f31d6baee7c69990811edb9f.png)
①若曲线
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c5db41a1f31d6baee7c69990811edb9f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d319c9420485fb86f13e0628ed4fd595.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c5db41a1f31d6baee7c69990811edb9f.png)
③若曲线
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c5db41a1f31d6baee7c69990811edb9f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/df2817c52144d06555e98131b5e657c4.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c5db41a1f31d6baee7c69990811edb9f.png)
其中所有正确的编号为( )
A.①② | B.①③ | C.②③ | D.③④ |
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【推荐1】双曲线C:
的焦距为4,焦点到C的一条渐近线的距离为1,则C的渐近线方程为( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3040b6c904477030ecf8ba20b2b18759.png)
A.![]() | B.![]() | C.![]() | D.![]() |
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解题方法
【推荐2】已知双曲线
:
,抛物线
:
的焦点为
,准线为
,抛物线
与双曲线
的一条渐近线的交点为
,且
在第一象限,过
作
的垂线,垂足为
,若直线
的倾斜角为
,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/a5ec7fa23be9cbe9a50607ea6bc8a4ff.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2a30f3a8b673cc28bd90c50cf1a35281.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/745de5ef1fd897d16e37464172d5e8c9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a0ed1ec316bc54c37c4286c208f55667.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0f85fca60a11e1af2bf50138d0e3fe62.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2a30f3a8b673cc28bd90c50cf1a35281.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/dad2a36927223bd70f426ba06aea4b45.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/acc290b44635265137fdf13146b6a6d9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8b8db072e2b6104671b82f948012fb45.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a6c0927afc571a7c966c98192040979e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c5db41a1f31d6baee7c69990811edb9f.png)
A.![]() | B.![]() | C.![]() | D.2 |
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