名校
解题方法
1 . 设双曲线
的左、右焦点分别为
,
,过
的直线l分别与双曲线左、右两支交于M,N两点,且
,
,则双曲线C的离心率为( )
![](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/a3fb78c5f885034612c0e030b920143d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f5076289823db419f94e9c0c8f4aafd9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0b06c7553910e8ae336a518c61509ccd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/fc96c1ecab82d947c48015704e72e584.png)
A.![]() | B.3 | C.![]() | D.![]() |
您最近一年使用:0次
2023-04-14更新
|
646次组卷
|
2卷引用:云南省宣威市第三中学2022-2023学年高二下学期第二次月考数学试题
名校
解题方法
2 . 已知双曲线C的中心在原点,焦点在x轴上,
分别为双曲线C的左、右焦点,
分别为双曲线C的左、右顶点,直线l过点
且与以
为直径的圆相切于点M.若直线l与双曲线C的右支交于点A,且
,则双曲线C的离心率等于_________ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5c38928a92bc4b44ed3c9b89769f5372.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/663368000ac90f582d12675aa2d1e832.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f5076289823db419f94e9c0c8f4aafd9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/473913c0887bb64d386f4c02f1853452.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9258772dda3f2bb4a4e310861b1e85bb.png)
您最近一年使用:0次
2023-04-09更新
|
713次组卷
|
2卷引用:云南省2023届高三第二次高中毕业生复习统一检测数学试题
名校
解题方法
3 . 已知双曲线
的右焦点为F,过点F且斜率为
的直线l交双曲线于A、B两点,线段AB的中垂线交x轴于点D. 若
,则双曲线的离心率取值范围是( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a5ec7fa23be9cbe9a50607ea6bc8a4ff.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2799abb64fd7bfce9dfa7228aa460564.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/60fd006242f3dc422f7a5ceee96ee2e7.png)
A.![]() | B.![]() | C.![]() | D.![]() |
您最近一年使用:0次
2023-04-06更新
|
4215次组卷
|
17卷引用:云南省昆明市五华区云南师大实验中学2023-2024学年高二上学期11月月考数学试题
云南省昆明市五华区云南师大实验中学2023-2024学年高二上学期11月月考数学试题广东省汕头市金山中学2023届高三高考模拟数学试题(已下线)模块八 专题7 以解析几何为背景的压轴小题(已下线)模块六 专题7易错题目重组卷(广东卷)广东省深圳市龙岗区德琳学校2023届高三一模数学试题湖南省永州市第一中学2024届高三上学期第一次月考数学试题广东五校2022-2023学年高二下学期期末联考数学试题(已下线)专题13 双曲线-1(已下线)3.2.1 双曲线及其标准方程(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)湖南省2024届高三数学新改革提高训练一(九省联考题型)2024届广东省新改革高三模拟高考预测卷三(九省联考题型)数学试卷2024届高三新改革数学模拟预测训练四(九省联考题型)湖南省长沙市雅礼实验中学2023-2024学年高二下学期收心检测数学试题(已下线)专题12 双曲线的几何性质8种常见考法归类(1)(已下线)高二上学期期末考点大通关真题精选100题(3)(已下线)专题4 求圆锥曲线的离心率(高三压轴小题大全)【讲】四川省南充高中2023-2024学年高三下学期第十六次月考理科数学
名校
解题方法
4 . 已知
,
分别是双曲线
的左、右焦点,
为双曲线右支上一点,
,
的角平分线
交
轴于点
,
,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/31254d86e09f88526c4355f5bd21fdbe.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dad2a36927223bd70f426ba06aea4b45.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ff5b68505bc7b9a904654613b8020ead.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6f8dee5115eae99d7db9e07c6783fa38.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/bd33764ff4efddfe11a98a609753715c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/81dea63b8ce3e51adf66cf7b9982a248.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5963abe8f421bd99a2aaa94831a951e9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/db0d321e8090f730b430e69014f25d28.png)
![](https://img.xkw.com/dksih/QBM/2023/3/28/3204453594030080/3205754538696704/STEM/4ca2531b983b4ea195a1696092d05b8d.png?resizew=4)
A.![]() | B.![]() |
C.![]() | D.![]() |
您最近一年使用:0次
解题方法
5 . 已知
为坐标原点,
、
分别为双曲线
的左、右焦点,点
在双曲线
的右支上,下列说法正确的是( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1dde8112e8eb968fd042418dd632759e.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/8a2cfa22139b3e9c9a73500e1ba19f52.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dad2a36927223bd70f426ba06aea4b45.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c5db41a1f31d6baee7c69990811edb9f.png)
A.当![]() ![]() ![]() |
B.![]() ![]() |
C.若点![]() ![]() ![]() ![]() ![]() ![]() |
D.当射线![]() ![]() ![]() |
您最近一年使用:0次
名校
解题方法
6 . 已知双曲线
的右焦点为
,
的两条渐近线分别与直线
交于
,
两点,且
的长度恰好等于点
到渐近线距离的
倍.
(1)求双曲线的离心率;
(2)已知过点
且斜率为1的直线
与双曲线交于
,
两点,
为坐标原点,若对于双曲线上任意一点
,均存在实数
,
,使得
,试确定
,
的等量关系式.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8a2cfa22139b3e9c9a73500e1ba19f52.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/0fa5d6092f598c7da4796f965e40525a.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/f52a58fbaf4fea03567e88a9f0f6e37e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a0ed1ec316bc54c37c4286c208f55667.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a7ffe8515ff6183c1c7775dc6f94bdb8.png)
(1)求双曲线的离心率;
(2)已知过点
![](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/ac047e91852b91af639feec23a9598b2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/54a5d7d3b6b63fe5c24c3907b7a8eaa3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1dde8112e8eb968fd042418dd632759e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dad2a36927223bd70f426ba06aea4b45.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/df64046e91b047037f19e4032e3b6de3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1100379a4385b9ce064847bc21760adc.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9909ded4aa86b799e374c53a11a3c09a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/df64046e91b047037f19e4032e3b6de3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1100379a4385b9ce064847bc21760adc.png)
您最近一年使用:0次
2023-03-26更新
|
752次组卷
|
5卷引用:云南师范大学附属中学2023届高三第八次月考数学试题
7 . 已知
,
分别为双曲线
:
(
,
)的左、右焦点,
为虚轴的一个端点,
为坐标原点,直线
与
的一条渐近线交于点
,若
与
的面积相等,则
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/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/5963abe8f421bd99a2aaa94831a951e9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1dde8112e8eb968fd042418dd632759e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/cabea664e61863b3b3279dbce607924e.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/e0d57e2f04d1e3781a7f498f26e41062.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/cc19b3c838f96ad50f4450d0e76eb0fc.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c5db41a1f31d6baee7c69990811edb9f.png)
A.![]() | B.2 | C.![]() ![]() | D.2或![]() |
您最近一年使用:0次
名校
解题方法
8 . 已知双曲线
,则下列选项中正确的是( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3ec820129d82cc52533f2ea92726e79f.png)
A.![]() ![]() | B.![]() ![]() |
C.![]() ![]() | D.![]() ![]() |
您最近一年使用:0次
2023-03-25更新
|
398次组卷
|
4卷引用:云南省泸水市怒江新城新时代中学2023届高三上学期期末考试数学试题
云南省泸水市怒江新城新时代中学2023届高三上学期期末考试数学试题黑龙江省哈尔滨市第三十二中学校2022-2023学年高二下学期期中考试数学试卷(普班)(已下线)第22讲 双曲线的简单几何性质9种常见考法归类(1)(已下线)模块二 专题3《圆锥曲线的方程》单元检测篇 A基础卷 (人教A)
名校
解题方法
9 . 已知双曲线
的右焦点为
,点
、
在双曲线上,且关于原点
对称.若
,且
的面积为
,则双曲线的离心率为( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/19f3fa0b40fb0d9b8c62e37316ab3b04.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/808bbc02ef2deaee8a8ff39610832b5c.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/1dde8112e8eb968fd042418dd632759e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9c9ca9ea5c24e205bf7e26d1f5aa49fd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5adccd1dd14171c8c29d4a3836728c0f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b8860d9787671b53b1ab68b3d526f5ca.png)
A.![]() | B.![]() | C.![]() | D.![]() |
您最近一年使用:0次
2023-03-23更新
|
750次组卷
|
9卷引用:云南省文山州广南县第一中学校2024届高三上学期第一次省统测数学模拟试题
云南省文山州广南县第一中学校2024届高三上学期第一次省统测数学模拟试题四川省成都市石室中学2022-2023学年高三下学期二诊模拟考试文科数学试题四川省成都市石室中学2022-2023学年高三下学期二诊模拟考试理科数学试题(已下线)江苏省八市2023届高三二模数学试题变式题6-10福建省永春第一中学2022-2023学年高二下学期6月月考数学试题四川省眉山第一中学2023-2024学年高三上学期10月月考数学(理)试题四川省成都市石室阳安中学2023-2024学年高三上学期11月月考理科数学试题四川省成都市石室阳安中学2023-2024学年高三上学期11月月考文科数学试题四川省广元市宝轮中学2022-2023学年高二下学期第一次段考数学试题
10 . 已知双曲线
:
的左、右焦点分别为
,
,过
作
的一条渐近线的垂线,垂足为
,连接
,记
为双曲线
的离心率,
为
的周长,若直线
与另一条渐近线交于点
,且
,则( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ac047e91852b91af639feec23a9598b2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/714160e1b7ac2a919bccdffcd705bd7f.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/ac047e91852b91af639feec23a9598b2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5963abe8f421bd99a2aaa94831a951e9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e86dbcf83cd5d3421b3eed7be7dab32d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/168b3e4b1d6f04226fa2687a72a268b4.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/b2cfd997d3b66a3b8f7731b26f0ab0c8.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e86dbcf83cd5d3421b3eed7be7dab32d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7f9e8449aad35c5d840a3395ea86df6d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2c10e22ed7020da886c499e2ee6dba24.png)
A.![]() | B.![]() |
C.![]() | D.![]() |
您最近一年使用:0次