1 . 已知双曲线C:
的左、右焦点分别为
,
,并且经过
点,则
=______ ;双曲线C的渐近线方程为______
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/423db9ff20877e08b9ea37df4bd09b17.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/c8ab0801986e834621fb54afbe52bf56.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/49cca0078dac072087b4fc30c2de4870.png)
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解题方法
2 . 已知双曲线
:
的左、右焦点分别为
,
,并且经过
点,则
=______ ;双曲线
的渐近线方程为__________
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c5db41a1f31d6baee7c69990811edb9f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dd41c8a7115a191ee6486bd89dec83f9.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/6e3a2492f4190e8973a22de71b572dc7.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/06f20649f447c74d61a538832ba05e5f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c5db41a1f31d6baee7c69990811edb9f.png)
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3 . 设双曲线
的左、右焦点分别为
,点P在C的右支上,当
时,
_______ ;当P运动时,
的最小值为__________ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/73b71f578f9716fd213e262d06ed413b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5c0d15c0cd066349600c876371580863.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c2427943a38dcd93c9ec9b735ffc9fe5.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/cda59d9787314cc9ae5b122a4847e24e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/455b2aed42d9a79dd7324ebd3ac46981.png)
您最近一年使用:0次
22-23高二·江苏·假期作业
名校
解题方法
4 . 已知双曲线的虚轴长为4,离心率
,
分别是双曲线的左、右焦点,若过
的直线与双曲线的左支交于
两点,且
,则双曲线的实轴长为________ ,![](https://staticzujuan.xkw.com/quesimg/Upload/formula/88bee8e70f1fab639be1636c7bce0477.png)
________ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/790f682ab3b50ba3f79e1ab6c67c75a5.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/e52586ca2a3b783bc8092415e2d4bf6d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/246d53445b489dcbb084ec7eef635811.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/88bee8e70f1fab639be1636c7bce0477.png)
您最近一年使用:0次
解题方法
5 . 已知
、
分别是双曲线
的左、右焦点,
是
上的一点,且
,则
的周长是___________ ,双曲线的离心率是___________ .
![](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/9c77480507f9d5e890d4f4a0f6d3de89.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/313b0615920d8918e068dd5ed203b504.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/33d776753746914c2410a3946c357f35.png)
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解题方法
6 . 已知两点
.点
满足
,则
的面积是____ ;
的一个取值为____ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/398f352cf420a5d215e9dbd59eb85e68.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/285f34134c43ba75b616c6591afa79c3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/35ece6688ab0291e339059af91e18cee.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/33d776753746914c2410a3946c357f35.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c24095e409b025db711f14be783a406c.png)
您最近一年使用:0次
2023-05-09更新
|
1103次组卷
|
4卷引用:北京市西城区2023届高三二模数学试题
北京市西城区2023届高三二模数学试题北京市第五十五中学2023-2024学年高三下学期三模数学试题北京市陈经纶中学2023-2024学年高二上学期期中考试数学试卷(已下线)第03讲 3.2.1双曲线及其标准方程(2)
名校
解题方法
7 . 设双曲线
的两个焦点为
、
,点
是圆
与双曲线
的一个公共点,
,则该双曲线的离心率为________ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/96c4088276acdbede4781b2ebc466366.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/d12fbb4f6f052a3cfacee42a4b719ffb.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2a30f3a8b673cc28bd90c50cf1a35281.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d124b231bf2cd3746f35e6c68cd7178f.png)
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2023-04-08更新
|
1238次组卷
|
3卷引用:北京市中国人民大学附属中学2023届高三统练(4)数学试题
8 . 已知双曲线
的左、右焦点分别为
,
,离心率为
,若O为坐标原点,点P为双曲线上一点,且P在第一象限,
,则![](https://staticzujuan.xkw.com/quesimg/Upload/formula/74518fed7a017a94f2b77a50148cf12c.png)
______ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8074822f47553df118dd3c1897d0843e.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/31f8f7e40ba386c0a9675896b52752d6.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/90b3a08562f45d06689a988ff690a62b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/74518fed7a017a94f2b77a50148cf12c.png)
您最近一年使用:0次
名校
9 . 已知双曲线
的上、下焦点分别为
,
,点
,则该双曲线的渐近线方程为________ ;![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4a7ff34ea070af73fb50fbb8716d49b0.png)
________ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/acca1c00ee33a8d7aabf1d626541259e.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/5a865d0cdbd1f950ba14112528db7af2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4a7ff34ea070af73fb50fbb8716d49b0.png)
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解题方法
10 . 已知双曲线
的焦点为
,点
在双曲线上,则该双曲线的渐近线方程为__________ ;若
,则![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e203545563ef6c33968cd9fab532638e.png)
__________ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0dad0c75ce33673ec4c425896e8619e4.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4d2a97987f71835f519b462f5b8f5957.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dad2a36927223bd70f426ba06aea4b45.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c26ce8a486d789c2e138296b62747059.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e203545563ef6c33968cd9fab532638e.png)
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2023-01-05更新
|
632次组卷
|
6卷引用:北京市昌平区2023届高三上学期期末质量检测数学试题
北京市昌平区2023届高三上学期期末质量检测数学试题(已下线)北京市海淀区2023届高三上学期期末练习数学试题变式题11-15(已下线)模块三 专题1 题型突破篇 小题入门夯实练(1)期末终极研习室(2023-2024学年第一学期)高三(已下线)艺体生新高考新结构全真模拟1山西省朔州市怀仁市大地学校高中部2022-2023学年高二下学期3月月考数学试题(已下线)3.2.2 双曲线的简单几何性质【第一练】“上好三节课,做好三套题“高中数学素养晋级之路