解题方法
1 . 已知双曲线
,若圆
与双曲线
的渐近线相切,则( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1d425a7131017df2ef6eb55cc7070caf.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/07e1d1d4600ada48948a77e0ba1389cc.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c5db41a1f31d6baee7c69990811edb9f.png)
A.双曲线C的渐近线方程为![]() |
B.双曲线C的实轴长为6 |
C.双曲线C的离心率![]() |
D.过双曲线C的右焦点的直线与圆M交于A,B两点,则弦长![]() |
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2 . 已知双曲线
,则( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/fce75638a9f451fb38780d59063cd14f.png)
A.双曲线E的实轴长为24 | B.双曲线E的焦距为26 |
C.双曲线E的渐近线的斜率为![]() | D.双曲线E的渐近线的斜率为![]() |
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解题方法
3 . 若双曲线
的一条渐近线与圆
相交于
、
两点,且
,则
( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/789c2e82fd40059e4b79a473b1e8f26f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a3f8faaf91a5cc1be239c065eb192c32.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5963abe8f421bd99a2aaa94831a951e9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7f9e8449aad35c5d840a3395ea86df6d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6cf7bd96e2d097db8ce197871af4e15a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a6c57bbef89a37f1a3808c0ceeac0c22.png)
A.2 | B.4 | C.5 | D.8 |
您最近一年使用:0次
2023-05-30更新
|
488次组卷
|
3卷引用:河北省2023届高三模拟(五)数学试题
解题方法
4 . 已知
,
为双曲线
:
的左右焦点,直线
与
的两渐近线分别交于点
、
,若
的最大值为
,则双曲线的离心率为______ .
![](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/c5db41a1f31d6baee7c69990811edb9f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3040b6c904477030ecf8ba20b2b18759.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/36d71f015144ffaf1faec94a259b4a06.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/54a5d7d3b6b63fe5c24c3907b7a8eaa3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3d689eb36e6503c34af0b53c3928c0db.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a7ffe8515ff6183c1c7775dc6f94bdb8.png)
您最近一年使用:0次
解题方法
5 . 设
,
分别是双曲线
的左、右焦点,则该双曲线的渐近线方程为______ ;若点P在双曲线上,且
,则![](https://staticzujuan.xkw.com/quesimg/Upload/formula/757959fa7dd76eee8a0469dc1051918d.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/b3bb40eca0847b7a24593f9ed3d779e9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2ce67f2138e7295cd72d66b2908cb6de.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/757959fa7dd76eee8a0469dc1051918d.png)
您最近一年使用:0次
2023-09-22更新
|
226次组卷
|
2卷引用:河北省邯郸市魏县第五中学2022-2023学年高二上学期12月月考数学试题
6 . 设
,
分别为双曲线
的左、右焦点.若在双曲线右支上存在点P,满足
,且
到直线
的距离等于双曲线的实轴长,求该双曲线的渐近线方程.
![](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/3040b6c904477030ecf8ba20b2b18759.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/093bec291d374725e9e4810847568a72.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a0ed1ec316bc54c37c4286c208f55667.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9ac86e1c253297a377e14fb9a1689be8.png)
您最近一年使用:0次
解题方法
7 . 已知双曲线
:
的上焦点为F,点M 在
的一条渐近线上,
是面积为
的等边三角形,其中点О为坐标原点,则
的方程为( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c5db41a1f31d6baee7c69990811edb9f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a29c0738fd840c1acadc91365ff366f7.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c5db41a1f31d6baee7c69990811edb9f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/06d953266f08eb217f1b174c1729e0ed.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a7ffe8515ff6183c1c7775dc6f94bdb8.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c5db41a1f31d6baee7c69990811edb9f.png)
A.![]() | B.![]() |
C.![]() | D.![]() |
您最近一年使用:0次
8 . 已知直线
:
过双曲线
:
的一个焦点,且与
的一条渐近线平行,则
的实轴长为______ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0f85fca60a11e1af2bf50138d0e3fe62.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/60a531eac5649ec4adbd1915d3941148.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c5db41a1f31d6baee7c69990811edb9f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3040b6c904477030ecf8ba20b2b18759.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c5db41a1f31d6baee7c69990811edb9f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c5db41a1f31d6baee7c69990811edb9f.png)
您最近一年使用:0次
名校
9 . 已知双曲线
,左、右焦点为
,
为双曲线上一点,则下列正确的是( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b13d0ee6c655032e821c650ff3f6a482.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4d2a97987f71835f519b462f5b8f5957.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dad2a36927223bd70f426ba06aea4b45.png)
A.离心率为![]() | B.渐近线方程为![]() |
C.虚轴长为4 | D.若![]() ![]() |
您最近一年使用:0次
2023-03-18更新
|
336次组卷
|
2卷引用:河北省秦皇岛市青龙满族自治县实验中学等两校联考2024届高三上学期开学考试数学试题
解题方法
10 . 双曲线
上任意一点到两条渐近线的距离之积为
,则双曲线的离心率
( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c36e858bb2b512701c65e064c14f5131.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d599cb4a589f90b0205f24c2e1fa021e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/47ce2b47812fce4b17fd813d0e4cce21.png)
A.![]() | B.![]() | C.![]() | D.![]() |
您最近一年使用:0次