2021·全国·模拟预测
解题方法
1 . 已知双曲线
的左、右焦点分别为
,
,
是双曲线右支上一点,
,直线
交
轴于点
,且
,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/f5076289823db419f94e9c0c8f4aafd9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a3fb78c5f885034612c0e030b920143d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dad2a36927223bd70f426ba06aea4b45.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c2427943a38dcd93c9ec9b735ffc9fe5.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0739793f234f8e86adc6177801ae7295.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d053b14c8588eee2acbbe44fc37a6886.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/acc290b44635265137fdf13146b6a6d9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/10e70c1274880e740e4749d6f2568200.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c5db41a1f31d6baee7c69990811edb9f.png)
A.![]() | B.3 | C.![]() | D.![]() |
您最近一年使用:0次
2021-06-08更新
|
434次组卷
|
5卷引用:抢分样卷2021年普通高等学校招生全国统一考试
(已下线)抢分样卷2021年普通高等学校招生全国统一考试(已下线)2022届高三普通高等学校招生全国统一考试数学信息卷(八)江西省南昌市三校2020-2021学年高二下学期期末联考数学(文)试题江西省南昌市三校2020-2021学年高二下学期期末联考数学(理)试题(已下线)河南省实验中学2023-2024学年高三上学期第一次月考数学试题变式题6-10
名校
2 . 已知双曲线
的左、右焦点分别为
,渐近线方程为
,点A在圆
上,若
且点B是双曲线
右支上的点,则
的正切值为________ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7d47e7eb7b3ce1ba8f4d1a36a60047a1.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4d2a97987f71835f519b462f5b8f5957.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e45c8782c3eb0cb7e5bfa31be372a845.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/458fa9e9c5e308f8b8c8d90643e22560.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1db447f006143c9c6e2467212b9d3ca7.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b1241216f3c1cb5e73043dd1037f556d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7fd760c04b1d2255ca8b35cc43526411.png)
您最近一年使用:0次
2021-06-04更新
|
363次组卷
|
5卷引用:全国一卷2021届高中毕业班考前热身联合考试文科数学试题
全国一卷2021届高中毕业班考前热身联合考试文科数学试题(已下线)第2章《圆锥曲线与方程》章节复习巩固(提高练)-2021-2022学年高二数学同步训练精选新题汇编(人教A版选修2-1)(已下线)3.2.1 (分层练)双曲线及其标准方程-2021-2022学年高二数学考点同步解读与训练(人教A版2019选择性必修第一册)(已下线)3.2.1 双曲线的标准方程(课堂培优)-2021-2022学年高二数学课后培优练(苏教版2019选择性必修第一册)山西省太原市第五中学校2022届高三下学期5月阶段性检测数学(文)试题
3 . 已知双曲线
(
,
)的左、右焦点分别为
,
,直线
过
,且与双曲线左支交于
,
两点,若
,
,则该双曲线的离心率为( )
![](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/411461db15ee8086332c531e086c40c7.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/54a5d7d3b6b63fe5c24c3907b7a8eaa3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0f895777170d01c4a8419f49e7de690b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/39ed4f7648a1cd58c044b07679041cf8.png)
A.![]() | B.2 | C.![]() | D.4 |
您最近一年使用:0次
4 . 双曲线
的左、右焦点分别为
,
,过
的直线与双曲线
的左、右两支分别交于点
,
,若
,
,则( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/02360efdfb7ee5169f850d7d475ac532.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/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/b81e239fd907cf8a830c0c3c93d9110d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e9fdf073ffaec527a848f2b9d6b59414.png)
A.![]() | B.![]() |
C.![]() | D.离心率为2 |
您最近一年使用:0次
2021-05-30更新
|
801次组卷
|
3卷引用:2021年普通学校招生全国统一考试新高考超级联考数学试卷
2021年普通学校招生全国统一考试新高考超级联考数学试卷河北省沧州市献县求实高级中学2022-2023学年高二上学期10月月考数学试题(已下线)综合检测(能力篇)-2022-2023学年高二数学同步知识梳理+考点精讲精练(人教B版2019选择性必修第一册)
名校
5 . 已知双曲线![](https://staticzujuan.xkw.com/quesimg/Upload/formula/90463f5ec157c9769a7cbcbb0757b6af.png)
的左右焦点分别为
,
,点
在双曲线的右支上,
为坐标原点,
,
,则
的值为( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/90463f5ec157c9769a7cbcbb0757b6af.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c3dc9ca33f6f5dd72eb0847ba46432ee.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/dad2a36927223bd70f426ba06aea4b45.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1dde8112e8eb968fd042418dd632759e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/34909224dd715ceda3e2cec0f8b0797e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/17ec150e431d09b73ea6435cec60602e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/294f5ba74cdf695fc9a8a8e52f421328.png)
A.![]() | B.![]() | C.1 | D.2 |
您最近一年使用:0次
2021-05-29更新
|
803次组卷
|
7卷引用:2021年普通高等学校招生全国统一考试(模拟预测卷)数学试题
6 . 已知
,
是双曲线
的左、右焦点,过
的直线交双曲线的右支于
,
两点,且
,
,则下列结论正确的有___________ .
①双曲线
的离心率
;
②双曲线
的一条渐近线斜率是
;
③线段
;
④
的面积是
.
![](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/14503fb4f0ee53847732c298c13db666.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/7f9e8449aad35c5d840a3395ea86df6d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b9766e5e316ac8e8ecae1779070799a4.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c723e3f2e67c80f93400947c02087654.png)
①双曲线
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c5db41a1f31d6baee7c69990811edb9f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b7b7f351578f6fcb9cc91f2d0c9c1840.png)
②双曲线
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c5db41a1f31d6baee7c69990811edb9f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a7ffe8515ff6183c1c7775dc6f94bdb8.png)
③线段
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2f47daa7f99620c99eb4dda8e202c47c.png)
④
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b2cfd997d3b66a3b8f7731b26f0ab0c8.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/180abdf41127fdc53bc45bd0cc2318c1.png)
您最近一年使用:0次
2021-05-28更新
|
551次组卷
|
4卷引用:全国2021届高三高考考前定位数学(理)试题
全国2021届高三高考考前定位数学(理)试题浙江省丽水、湖州、衢州三地市2021届高三下学期4月教学质量检测数学试题浙江省绍兴市诸暨市第二高级中学2021-2022学年高三上学期1月模拟数学试题(已下线)专题8.平面解析几何 -《2022届复习必备--2021届浙江省高考冲刺数学试卷分项解析》
7 . 已知双曲线
的左焦点为
,
为坐标原点,
为双曲线
右支上一点,
,则双曲线
的离心率的取值范围是______ .
![](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/1dde8112e8eb968fd042418dd632759e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dad2a36927223bd70f426ba06aea4b45.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c5db41a1f31d6baee7c69990811edb9f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4b4744bc8a79b5ed87a904b58bb0623a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c5db41a1f31d6baee7c69990811edb9f.png)
您最近一年使用:0次
2021-05-21更新
|
188次组卷
|
2卷引用:百校联盟2021届高三5月教育教学质量监测 (全国I卷)数学(理)试题
2021·全国·模拟预测
解题方法
8 . 已知
,
是双曲线
:
的左、右焦点,直线
与
交于
,
两点,且
,四边形
的周长
与面积
满足
,则该双曲线的离心率为______ .
![](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/2a30f3a8b673cc28bd90c50cf1a35281.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3040b6c904477030ecf8ba20b2b18759.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ac02a054bd0771a56987af33454baaea.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2a30f3a8b673cc28bd90c50cf1a35281.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/74064c3fa84f604f6636f6bbf778bdc1.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8ad77c5823e9c6cd81d8d10055ef62a0.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c5db41a1f31d6baee7c69990811edb9f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/cf231f8f86fb922df4ca0c87f044cec3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d8520571e40d3ec937fc1151a5accb7f.png)
您最近一年使用:0次
2021·全国·模拟预测
名校
解题方法
9 . 设双曲线
的左、右焦点分别
、
,点
为双曲线右支上一点,
的内切圆圆心为
,则
的面积与
的面积之差为( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/50c857dc9f7befdcc69d64cf96860969.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/aee82283f06cedef32eb15b87964f5d2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/33d776753746914c2410a3946c357f35.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8cda12642d59a5817e8990c43de20535.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/fd4ce69396e8a590cd62022daf67ee0e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a3b52af1d93cf91437881f823ad19623.png)
A.![]() | B.![]() | C.![]() | D.![]() |
您最近一年使用:0次
2021-05-19更新
|
720次组卷
|
5卷引用:2021新高考高考最后一卷数学第二模拟
(已下线)2021新高考高考最后一卷数学第二模拟内蒙古自治区赤峰市赤峰二中2020-2021学年高二下学期第二次月考数学(文科)试题河南省联考2021-2022学年高三核心模拟卷(上)文科数学(三)(已下线)第06讲 双曲线及其性质(十大题型)(讲义)-1吉林省双辽市一中、大安市一中、通榆县一中等重点高中2021-2022学年高三上学期期末联考数学(文)试题
10 . 已知双曲线
:
的离心率为2,
,
分别为
的左、右焦点,点
在
的右支上,若
的周长为
,则
的面积是( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c5db41a1f31d6baee7c69990811edb9f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/45cab442fce0b430cd97c756a39f09a7.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/c5db41a1f31d6baee7c69990811edb9f.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/b2cfd997d3b66a3b8f7731b26f0ab0c8.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/fa9a1b2bc186d78fd4370dd15fa542a1.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a830868f7b9c9d67239066a210857447.png)
A.![]() | B.![]() | C.90 | D.45 |
您最近一年使用:0次
2021-05-10更新
|
527次组卷
|
4卷引用:山西省晋城市2021届高三下学期二模数学(理)试题
山西省晋城市2021届高三下学期二模数学(理)试题河南省九师联盟高考(晋城)2021届高三二模联考数学(理)试题河南省部分学校2021届高三四月联考理科数学试题(已下线)2020年高考全国3数学理高考真题变式题11-15题