名校
1 . 双曲线
的右焦点坐标为
,则该双曲线的渐近线方程为_________ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/77c4f0f345262589806eba13ededd02b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a812a9b58ccba331cfd21d244329af01.png)
您最近一年使用:0次
解题方法
2 . 双曲线
的一条渐近线是曲线
的切线,则
的值为____________ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3238f756acedc74ddd3dd7f3f7f660d5.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c9a540ab7ab5b7243fc45d9a7b0eccca.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0a6936d370d6a238a608ca56f87198de.png)
您最近一年使用:0次
解题方法
3 . 设双曲线
(
)的虚轴长为2,焦距为
,则其渐近线方程为( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/19f3fa0b40fb0d9b8c62e37316ab3b04.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2684b72f9f38f5046c8ecd4280b7b14b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9b91d650c2fc1a741fabdb333b09aeb6.png)
A.![]() | B.![]() |
C.![]() | D.![]() |
您最近一年使用:0次
名校
4 . 已知
为坐标原点,
,
,
,向量
,动点
满足![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4bad299e2782c072d27e1c54422cc8fc.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/638537c0a30676c73fea76c80e0f8bd0.png)
,写出一个
,使得有且只有一个点
同时满足
,则![](https://staticzujuan.xkw.com/quesimg/Upload/formula/380bbacf854e30e2e747fc286d2b9997.png)
__________ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1dde8112e8eb968fd042418dd632759e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9b9bece414af7ecb2d796dc8a6f549e1.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/27e62a44b8712ce4483b8710cda0dc1c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a291e0d0e2f620a15826a1aa3c04bc37.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3e77c9666750eb18917c43a03232d7b1.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dad2a36927223bd70f426ba06aea4b45.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4bad299e2782c072d27e1c54422cc8fc.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/638537c0a30676c73fea76c80e0f8bd0.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7e163480714acc9dae5005cac65d217d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0a6936d370d6a238a608ca56f87198de.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dad2a36927223bd70f426ba06aea4b45.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/11332380fd5a9d83ca2825e7e0d5ef66.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/380bbacf854e30e2e747fc286d2b9997.png)
您最近一年使用:0次
2024-02-27更新
|
1273次组卷
|
2卷引用:湖南省长沙市长郡中学2024届高三一模数学试题
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
6 . 双曲线
的渐近线方程是( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/760a793ad8dadeba59aef81106e95288.png)
A.![]() | B.![]() | C.![]() | D.![]() |
您最近一年使用:0次
解题方法
7 . 设双曲线
,则( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5c56109d9e87fe7349baa26b0e130ed4.png)
A.![]() | B.![]() |
C.![]() | D.![]() ![]() |
您最近一年使用:0次
解题方法
8 . 由伦敦著名建筑事务所SteynStudio设计的南非双曲线大教堂惊艳世界,该建筑是数学与建筑完美结合的艺术品.若将如图所示的大教堂外形弧线的一段近似看成双曲线
下支的一部分,且此双曲线的渐近线方程为
,则该双曲线的离心率为( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/965017ac28701e1bc9afe7668c751950.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4b75308335340230171130238f4dc6c1.png)
![](https://img.xkw.com/dksih/QBM/editorImg/2024/2/22/c9960860-73cd-4a48-9cfa-9ee6817844b0.png?resizew=338)
A.![]() | B.2 | C.![]() | D.![]() |
您最近一年使用:0次
9 . 已知点
是双曲线
上一点,则点
到双曲线
的两条渐近线的距离之积为( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dad2a36927223bd70f426ba06aea4b45.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/835813a0a10b333051ffc6b45e4347c7.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dad2a36927223bd70f426ba06aea4b45.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c5db41a1f31d6baee7c69990811edb9f.png)
A.![]() | B.![]() | C.![]() | D.![]() |
您最近一年使用:0次
10 . 已知椭圆
的焦点与双曲线
的焦点重合,则
的渐近线方程为( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/fd486b8796b3454eab219c28ed131683.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/bda9ab8286b004da179519fc3c901936.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/23f3ffe7abc59e2f65d827c8eab8d36a.png)
A.![]() | B.![]() | C.![]() | D.![]() |
您最近一年使用:0次