1 . 双曲线
的左、右顶点分别为
,左、右焦点分别为
,过
作直线与双曲线
的左、右两支分别交于M,N两点.若
,且
,则直线
与
的斜率之积为( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8db5b3141bc10f8ee640f1fb48d6e157.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ed2988e435ffb7935d49569ee824262f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/40f98254a6193566587a70c7d95fdabf.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0803614ff32b6a15c5aa286e9f66be58.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c5db41a1f31d6baee7c69990811edb9f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/06b89f666bb428c404469736e9528297.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8438b536ba7d376f22aec5d20e66017f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/bbe61d39d080872caa8973a70a3b4955.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/448eb7d301baa90fe59b05761830f81f.png)
A.![]() | B.![]() | C.![]() | D.![]() |
您最近一年使用:0次
2024-06-16更新
|
80次组卷
|
5卷引用:数学(九省新高考新结构卷03)
(已下线)数学(九省新高考新结构卷03)黑龙江省哈尔滨市第九中学校2024届高三第二次模拟考试数学试卷(已下线)模块4 二模重组卷 第2套 全真模拟卷辽宁省朝阳市建平县实验中学2024届高三第五次模拟考试数学试题湖北省黄冈市文海大联考2024届高三下学期临门一卷(三模)数学试题
名校
解题方法
2 . 双曲线
的左、右焦点分别为
、
,过
的直线与双曲线
的右支交于
,
两点(其中点
在第一象限).设
,
的内切圆半径为
,
,则
的取值范围是( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b51524b03af28db4c6c5a7b30543916a.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/a3fb78c5f885034612c0e030b920143d.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/5963abe8f421bd99a2aaa94831a951e9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b2cfd997d3b66a3b8f7731b26f0ab0c8.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/47444b5fbc4252516d54263062e47c81.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2858005b9ae89ae080d83dcc13cf8e81.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2b3e95410f3b4fcb0cba425b521d1f67.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/37fd3d19b0c8b544d52b897ca30990b4.png)
A.![]() | B.![]() |
C.![]() | D.![]() |
您最近一年使用:0次
解题方法
3 . 设
是双曲线
的左、右焦点,点A是双曲线C右支上一点,若
的内切圆M的半径为a(M为圆心),且
,使得
,则双曲线C的离心率为( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/40f98254a6193566587a70c7d95fdabf.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7c29bab2a74ca02d30e0deed068b042f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b2cfd997d3b66a3b8f7731b26f0ab0c8.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/06f1aa3b0edcdba0073e2b8f1b141817.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7853aa81790c329227d3c9cc4beb1bd8.png)
A.![]() | B.![]() | C.2 | D.![]() |
您最近一年使用:0次
2024-04-10更新
|
2140次组卷
|
6卷引用:数学(新高考卷03,新题型结构)
(已下线)数学(新高考卷03,新题型结构)(已下线)第1题 双曲线的离心率问题(5月)(压轴小题)(已下线)【讲】 专题三 平面向量与其他知识的交汇问题(压轴大全)辽宁省大连市2024届高三下学期第一次模拟考试数学试卷山西省部分学校2023-2024学年高二下学期5月质量检测数学试题山西省吕梁市2023-2024学年高二下学期5月质量检测数学试卷
4 . 已知双曲线
的左、右焦点分别为
,右焦点
到渐近线的距离为
,过
作圆
的切线,交双曲线右支于点
,若
,则圆
的面积为( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a5ec7fa23be9cbe9a50607ea6bc8a4ff.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4d2a97987f71835f519b462f5b8f5957.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a3fb78c5f885034612c0e030b920143d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0f2c06207565e9fa6a288a788e4ab2fd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f5076289823db419f94e9c0c8f4aafd9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b1ae9f5c13f1762a97d82c686aa91d54.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ac047e91852b91af639feec23a9598b2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a3e4164b9d169f01339955aa97c7dfc6.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c5db41a1f31d6baee7c69990811edb9f.png)
A.![]() | B.![]() | C.![]() | D.![]() |
您最近一年使用:0次
2024-04-05更新
|
966次组卷
|
5卷引用:第22题 代数几何比翼齐飞,动静互变化难为易(优质好题一题多解)
(已下线)第22题 代数几何比翼齐飞,动静互变化难为易(优质好题一题多解)陕西省西安市第一中学2024届高三下学期高考模拟押题文科数学试题(一)(已下线)模块3 第5套 全真模拟篇广东省深圳市高级中学(集团)2023-2024学年高二下学期期中考试数学试卷湖南省衡阳市衡阳县第一中学2024届高三下学期4月月考数学试题
名校
解题方法
5 . 已知双曲线
的左、右焦点分别为
、
,经过
的直线交双曲线的左支于
,
,
的内切圆的圆心为
,
的角平分线为
交
于M,且
,若
,则该双曲线的离心率是( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/04fcc5ec265884288515338b828a418c.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/f5076289823db419f94e9c0c8f4aafd9.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/e5eb2485f90dbfd0dfd6e7d179a856f5.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e105760638b22b26ff8bec4354255e4c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9f248266bcff70c440317feccf475f3d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6a1eb15d354e4ef64e6f4297edc8acd5.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f52a58fbaf4fea03567e88a9f0f6e37e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5eb9501525f03a072cec39900cd3a47a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/577038bb08b939d9df231583107ba327.png)
A.![]() | B.![]() | C.![]() | D.2 |
您最近一年使用:0次
2024-03-03更新
|
1348次组卷
|
3卷引用:第1题 双曲线的离心率问题(5月)(压轴小题)
(已下线)第1题 双曲线的离心率问题(5月)(压轴小题)2024届广东省(佛山市第一中学、广州市第六中学、汕头市金山中学、)高三六校2月联考数学试卷天津市南开中学2023-2024学年高三下学期第五次月考数学试题
解题方法
6 . 已知双曲线
:
(
,
)的左、右焦点分别为
,
,
是双曲线
的左顶点,
,
(
在第一象限)是双曲线
上关于
轴对称的两个点,若直线
与直线
的斜率之积为
,直线
与双曲线
的右支交于另一点
,且
,
的周长为20,则该双曲线的标准方程为( )
![](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/5963abe8f421bd99a2aaa94831a951e9.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/acc290b44635265137fdf13146b6a6d9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/acc290b44635265137fdf13146b6a6d9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c5db41a1f31d6baee7c69990811edb9f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d053b14c8588eee2acbbe44fc37a6886.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/20a541b81584a032f571159ea152c85a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/84d454c82d9e52747563d47b68099249.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2267442b286785e89a0b5fb19b039669.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a16c755ab3fea6ca99b13193a5d7e485.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/64bfce4dcd101a3e859f8dafe3fe4cdd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/47d0fe813b8dfefe6d7d2bfc29b3b82a.png)
A.![]() | B.![]() | C.![]() | D.![]() |
您最近一年使用:0次
名校
7 . 已知双曲线
的左、右焦点分别为
,过点
的直线与双曲线
的右支交于
两点,若
,且双曲线
的离心率为
,则
( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2ef66f4832adc43902055a7e6d258037.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4d2a97987f71835f519b462f5b8f5957.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a3fb78c5f885034612c0e030b920143d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2a30f3a8b673cc28bd90c50cf1a35281.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/01c74a907dda6bb7d9d56d009d9df253.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5df0be6a014b2bd07e265b4cb1ee1b45.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2a30f3a8b673cc28bd90c50cf1a35281.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/cf298f00799cbf34b4db26f5f63af92f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/231f5e366e03c8f8ff6834228ec5ed2f.png)
A.![]() | B.![]() | C.![]() | D.![]() |
您最近一年使用:0次
2024-02-29更新
|
4021次组卷
|
6卷引用:专题08 圆锥曲线 第一讲 圆锥曲线的方程与性质(解密讲义)
解题方法
8 . 已知
是双曲线
的左、右焦点,经过点
的直线与双曲线C的左右两支分别交于A,B两点,若
,则双曲线C的离心率为( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4d2a97987f71835f519b462f5b8f5957.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/83bf4fd84818abac17a9d21237ac5ce5.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f5076289823db419f94e9c0c8f4aafd9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/eb8d67ba4ad9b9e9412f201fa31a3bfa.png)
A.![]() | B.![]() | C.![]() | D.![]() |
您最近一年使用:0次
2024-02-23更新
|
837次组卷
|
4卷引用:第二讲:方程与函数思想【练】
(已下线)第二讲:方程与函数思想【练】(已下线)模块3 第5套 复盘卷福建省龙岩市2023-2024学年高二上学期期末教学质量检查数学试题重庆市缙云教育联盟2024届高三下学期3月月度质量检测数学试题
名校
解题方法
9 . 已知双曲线
的左,右焦点分别为
,过
的直线与双曲线
分别在第一、二象限交于
两点,
内切圆的半径为
,若
,
,则双曲线
的离心率为( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/83bf4fd84818abac17a9d21237ac5ce5.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/c5db41a1f31d6baee7c69990811edb9f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/01c74a907dda6bb7d9d56d009d9df253.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e5eb2485f90dbfd0dfd6e7d179a856f5.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/11bc05f41215f9894e11d1df0465751a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/de1ee5cf3152e71e0ee135e22145fcc0.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a2b1b52036f4b2f32b38b8eb602d6d54.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c5db41a1f31d6baee7c69990811edb9f.png)
A.![]() | B.![]() | C.![]() | D.![]() |
您最近一年使用:0次
2024-02-21更新
|
3111次组卷
|
5卷引用:(新高考新结构)2024年高考数学模拟卷(二)
(已下线)(新高考新结构)2024年高考数学模拟卷(二)(已下线)信息必刷卷01广东省东莞中学、广州二中、惠州一中、深圳实验、珠海一中、中山纪念中学2024届高三第四次六校联考数学试题湖南省衡阳市第八中学2024届高三下学期高考适应性练习数学试卷江苏省常州市华罗庚中学2024届高三下学期4月冲刺测试一数学试卷
名校
解题方法
10 . 已知双曲线
的离心率为2,左、右顶点分别为
,右焦点为
,
是
上位于第一象限的两点,
,若
,则
( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2ef66f4832adc43902055a7e6d258037.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/00442d96d695db2c58bf1fb7165fca94.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a0ed1ec316bc54c37c4286c208f55667.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ab609a6574633ebabcff3e73fa862081.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2a30f3a8b673cc28bd90c50cf1a35281.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/18290a33d540589705521b0c2bdd3914.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/570fa13a80c87d908c3b97987d45201e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b750c2c4bf7414890b336d4e70de1a5d.png)
A.![]() | B.![]() | C.![]() | D.![]() |
您最近一年使用:0次
2024-02-17更新
|
1425次组卷
|
5卷引用:专题07 双曲线与抛物线(讲义)
(已下线)专题07 双曲线与抛物线(讲义)(已下线)【讲】专题7 解三角形与其它知识的交汇问题河北省金科大联考2024届高三上学期1月质量检测数学试题吉林省通化市梅河口市第五中学2024届高三下学期开学考试数学试题安徽省合肥一六八中学2024届高三“九省联考”考后适应性测试数学试题(三)