名校
解题方法
1 . 已知双曲线
的右顶点为
,若直线
与
的两条渐近线分别交于
,
两点,且满足
,则双曲线
的离心率为( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8a2cfa22139b3e9c9a73500e1ba19f52.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5963abe8f421bd99a2aaa94831a951e9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/11f9c310a9602ff7305c584f778e0d56.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c5db41a1f31d6baee7c69990811edb9f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4aa0df7f1e45f9de29e802c7f19a4f64.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/cf231f8f86fb922df4ca0c87f044cec3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a82bc7a8863b724dfad73d761c1fdb72.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c5db41a1f31d6baee7c69990811edb9f.png)
A.![]() | B.![]() | C.![]() | D.![]() |
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2024-06-12更新
|
242次组卷
|
3卷引用:福建省厦门市厦门外国语学校2024届高三下学期模拟考试数学试题
名校
解题方法
2 . 如图1,与三角形的一条边以及另外两条边的延长线都相切的圆被称为三角形的旁切圆,旁切圆的圆心被称为三角形的旁心,每个三角形有三个旁心.如图2,已知
,
是双曲线
的左、右焦点,
是双曲线右支上一点,
是
的一个旁心.直线
与
轴交于点
,若
,则该双曲线的渐近线方程为( )
![](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/a5ec7fa23be9cbe9a50607ea6bc8a4ff.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dad2a36927223bd70f426ba06aea4b45.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/acc290b44635265137fdf13146b6a6d9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/33d776753746914c2410a3946c357f35.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7a5f1641947153c80b987320885a2b57.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/81dea63b8ce3e51adf66cf7b9982a248.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ac047e91852b91af639feec23a9598b2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a75995127d9f7edd5e5a7c0d442c4a21.png)
A.![]() | B.![]() | C.![]() | D.![]() |
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2024-05-18更新
|
301次组卷
|
3卷引用:福建省安溪第八中学2024届高三下学期5月份质量检测数学试题
解题方法
3 . 已知双曲线
,过右焦点
作一条渐近线的垂线,垂足为
,点
在
上,且
,则
的离心率为( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/83bf4fd84818abac17a9d21237ac5ce5.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a0ed1ec316bc54c37c4286c208f55667.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/c5db41a1f31d6baee7c69990811edb9f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9080a3bcdbfafa0b7dda973934a567b8.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c5db41a1f31d6baee7c69990811edb9f.png)
A.![]() | B.![]() | C.2 | D.3 |
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4 . 等轴双曲线经过点
,则其焦点到渐近线的距离为( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/631386549c0cec5981a1da47b05e5d25.png)
A.![]() | B.2 | C.4 | D.![]() |
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名校
解题方法
5 . 已知
,
分别是双曲线
的左、右焦点,是
双曲线
右支上的一个动点,且“
”的最小值是
,则双曲线
的渐近线方程为( )
![](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/02e4d134d16becbca6a0795013fc4c80.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/5703516478c919deb10a901c9aa33d6c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d86eb63a41f1c6ae8200dcb75c95aa07.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c5db41a1f31d6baee7c69990811edb9f.png)
A.![]() | B.![]() |
C.![]() | D.![]() |
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2024-05-08更新
|
1468次组卷
|
8卷引用:福建省泉州市永春第一中学2024届高三最后一卷数学试卷
名校
解题方法
6 . 设
,
分别是双曲线
(
,
)的左右焦点,
为双曲线左支上一点,且满足
,直线
与双曲线的一条渐近线垂直,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/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/dad2a36927223bd70f426ba06aea4b45.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ff00fc29b9b9374935cf7bd256fb6234.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0739793f234f8e86adc6177801ae7295.png)
A.![]() | B.![]() | C.2 | D.![]() |
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2024-01-19更新
|
1274次组卷
|
3卷引用:福建省厦门市2024届高三下学期第二次质量检测数学试题
名校
解题方法
7 . 已知
为双曲线
:
的右焦点,平行于
轴的直线
分别交
的渐近线和右支于点
,
,且
,
,则
的离心率为( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a0ed1ec316bc54c37c4286c208f55667.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/81dea63b8ce3e51adf66cf7b9982a248.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0f85fca60a11e1af2bf50138d0e3fe62.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c5db41a1f31d6baee7c69990811edb9f.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/3b3f94d7cb9ebf4130ff8cd34bb457e5.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f6dfddf7def225c21f8f84bfa721fb77.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c5db41a1f31d6baee7c69990811edb9f.png)
A.![]() | B.![]() | C.![]() | D.![]() |
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2023-09-27更新
|
1519次组卷
|
8卷引用:福建省厦门第一中学2023届高三四模数学试题
福建省厦门第一中学2023届高三四模数学试题(已下线)模块一 专题3 圆锥曲线的方程(人教A)(1)(已下线)重难点突破04 轻松搞定圆锥曲线离心率十九大模型(十九大题型)-4(已下线)专题11 圆锥曲线(4大易错点分析+解题模板+举一反三+易错题通关)(已下线)3.2.2 双曲线的简单的几何性质(AB分层训练)-【冲刺满分】2023-2024学年高二数学重难点突破+分层训练同步精讲练(人教A版2019选择性必修第一册)(已下线)3.2.2 双曲线的简单的几何性质(重难点突破)-【冲刺满分】2023-2024学年高二数学重难点突破+分层训练同步精讲练(人教A版2019选择性必修第一册)(已下线)第02讲 3.2双曲线(3)(已下线)专题25 双曲线的简单几何性质9种常见考法归类(1)
名校
解题方法
8 . 已知双曲线
,
为
的左焦点.经过原点的直线
与
的左、右两支分别交于A,
两点,且
,
,则
的一条渐近线的倾斜角可以是( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/83bf4fd84818abac17a9d21237ac5ce5.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a0ed1ec316bc54c37c4286c208f55667.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c5db41a1f31d6baee7c69990811edb9f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0f85fca60a11e1af2bf50138d0e3fe62.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c5db41a1f31d6baee7c69990811edb9f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7f9e8449aad35c5d840a3395ea86df6d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4c507610f462120218e2cd1894c957eb.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9f95706d24319908a098cd04b005a652.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c5db41a1f31d6baee7c69990811edb9f.png)
A.![]() | B.![]() | C.![]() | D.![]() |
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名校
9 . 数列
中,
,点
在双曲线
上.若
恒成立,则实数λ的取值范围为( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/83cf38189d5cbf627d2b82ac0eb76006.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e832cef0d58acb408407be5cd2d63537.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a44042d110ad8bf676c2785c2b1f9a04.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/02f1596d3e260ec2198058d1b94ed7e7.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/42859dc6c11d0cf9bfd497edc2d6c808.png)
A.![]() | B.![]() | C.![]() | D.![]() |
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解题方法
10 . 已知双曲线
(
,
)的渐近线与
交于第一象限内的两点
,
,若
为等边三角形,则双曲线的离心率
( )
![](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/b47b36cb8fddb969596e4e36b26b9eeb.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/6a11cb104b04c4e6a1be700e81da279a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/47ce2b47812fce4b17fd813d0e4cce21.png)
A.![]() | B.![]() | C.2 | D.![]() |
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2023-04-23更新
|
680次组卷
|
3卷引用:福建省2023届高三联合测评数学试题
福建省2023届高三联合测评数学试题吉林省长春吉大附中实验学校2023届高三下学期第五次模拟考试数学试题(已下线)3.2.2 双曲线的简单几何性质(精练)-2023-2024学年高二数学《一隅三反》系列(人教A版2019选择性必修第一册)