名校
解题方法
1 . 设点P是圆
上的一动点,
,
,则
的最小值为( ).
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/49dc46b8da6e54c9bd73760fd23723c8.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/32366143230ca122894a4bada7c7b96d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f3e755804d23862a82d32bd7f901c23c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1cb58cef2ef9fd70d37d138c5ec445ba.png)
A.![]() | B.![]() | C.6 | D.12 |
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|
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6卷引用:华大新高考联盟2023届高三下学期3月教学质量测评文科数学试题
华大新高考联盟2023届高三下学期3月教学质量测评文科数学试题(已下线)第21讲 双曲线及其标准方程7种常见考法归类(2)(已下线)3.2.1 双曲线及其标准方程(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)(已下线)专题 3.3 双曲线性质归类(1)(已下线)专题07 双曲线的压轴题(5类题型+过关检测)-【常考压轴题】2023-2024学年高二数学上学期压轴题攻略(人教A版2019选择性必修第一册)(已下线)专题17 双曲线定义妙用(期末选择题17)2023-2024学年高二数学上学期期末题型秒杀技巧及专项练习(人教A版2019)
名校
解题方法
2 . 已知双曲线
(
,
)的左、右焦点分别为
,
,P是圆
与
的一个交点,若
的内切圆的半径为a,则
的离心率为( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7f8f490e9488ca8672554ead4650e8da.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/95c87822350c8d4a5ac2f32837880798.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4b454cdb97c408300b50d945f002c2cb.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/33d776753746914c2410a3946c357f35.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4b454cdb97c408300b50d945f002c2cb.png)
A.![]() | B.![]() | C.1 | D.![]() |
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|
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2卷引用:陕西省榆林市绥德中学2023届高三下学期4月月考文科数学试题
名校
解题方法
3 . 已知抛物线
的焦点为F,其准线
与坐标轴交于点A,点P为E上一点,当
取最小值时,点P恰好在以A,F为焦点的双曲线
上,则双曲线
的实轴长等于( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/27de9a2cc69a70040945599016583e69.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0f85fca60a11e1af2bf50138d0e3fe62.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/768508b1a1b05f0d3e8cd4d2464344df.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4bcd8ee2d8367c167d6ae0abc741b6b8.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4bcd8ee2d8367c167d6ae0abc741b6b8.png)
A.![]() | B.![]() | C.![]() | D.![]() |
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|
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4卷引用:陕西省榆林市绥德中学2023届高三下学期4月月考文科数学试题
4 . 已知
,
分别为双曲线
的左、右焦点,且
,点P为双曲线右支上一点,M为
的内心,若
成立,则λ的值为( )
![](https://img.xkw.com/dksih/QBM/editorImg/2023/4/16/273f8ef4-368f-455f-ae41-a8370a357a7c.png?resizew=174)
![](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/82db9268f6ba788ab5eadf9b98dc8715.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/002ed1ebb2cb936e10ab478789f91c7c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a4fe25d453230cf389719c32381add1d.png)
![](https://img.xkw.com/dksih/QBM/editorImg/2023/4/16/273f8ef4-368f-455f-ae41-a8370a357a7c.png?resizew=174)
A.![]() | B.![]() | C.2 | D.![]() |
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|
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|
5卷引用:陕西省西安市临潼区、阎良区2023届高三一模文科数学试题
陕西省西安市临潼区、阎良区2023届高三一模文科数学试题陕西省西安市临潼区、阎良区2023届高三一模理科数学试题(已下线)专题14解析几何(选择填空题)(已下线)专题7-3圆锥曲线离心率归类-2(已下线)专题12双曲线(3个知识点5个拓展2个突破8种题型5个易错点)-【倍速学习法】2023-2024学年高二数学核心知识点与常见题型通关讲解练(人教A版2019选修第一册)
名校
解题方法
5 . 已知双曲线
的左、右焦点分别为
,
,P是双曲线E上一点,
,
的平分线与x轴交于点Q,
,则双曲线E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/b2dfb22c6f1c155747100e7536cd1abd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c94fe48bf7af022ecbbe13833fdcc2c8.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d0f605e56f344918695bc793a614b899.png)
A.![]() | B.2 | C.![]() | D.![]() |
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|
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|
7卷引用:陕西省榆林市2023届高三三模文科数学试题
名校
解题方法
6 . 在平面直角坐标系
中,已知椭圆
:
的左、右焦点分别为
,
,离心率为
,双曲线
:
的离心率为
,且椭圆
与双曲线
的焦点相同.过
的直线
与椭圆
交于
两点(点
在第一象限),与双曲线
的右支交于点
,且点
在线段
上.若
与
的周长之比为
,则
的值为( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7ee31829d0d4d5f779a957d7df8058ab.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b1241216f3c1cb5e73043dd1037f556d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7dd54b9df3402ad91e2d34c40efe0c7a.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/d33558881906c228c262ff8024dcfc4a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/23f3ffe7abc59e2f65d827c8eab8d36a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6d4d0b4d60f28a0a82eaeb506ac58bc1.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a33a99190a8fd29c36d5a002e3197cc5.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b1241216f3c1cb5e73043dd1037f556d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/23f3ffe7abc59e2f65d827c8eab8d36a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f5076289823db419f94e9c0c8f4aafd9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0f85fca60a11e1af2bf50138d0e3fe62.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b1241216f3c1cb5e73043dd1037f556d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/01c74a907dda6bb7d9d56d009d9df253.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5963abe8f421bd99a2aaa94831a951e9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/23f3ffe7abc59e2f65d827c8eab8d36a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dad2a36927223bd70f426ba06aea4b45.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dad2a36927223bd70f426ba06aea4b45.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f52a58fbaf4fea03567e88a9f0f6e37e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/cc19b3c838f96ad50f4450d0e76eb0fc.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e5eb2485f90dbfd0dfd6e7d179a856f5.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3d55ff7eea051b0f87a65f05591851b7.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/64478547eef44fbcea5a4a6038d3dc9e.png)
A.![]() | B.![]() | C.![]() | D.![]() |
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|
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|
3卷引用:陕西省榆林市第十中学2023届高三高考仿真模拟(一)理科数学试题
陕西省榆林市第十中学2023届高三高考仿真模拟(一)理科数学试题河北省保定市唐县第一中学2023届高三二模数学试题(已下线)专题07 双曲线离心率归类(11题型)-【巅峰课堂】2023-2024学年高二数学上学期期中期末复习讲练测(人教A版2019选择性必修第一册)
名校
解题方法
7 . 已知双曲线
的上、下焦点分别为
、
,过点
且与一条渐近线垂直的直线
与
的上支交于点
,且
,则双曲线
的离心率为( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c5651ad312b44662f444de95a6318826.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/0f85fca60a11e1af2bf50138d0e3fe62.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/2dfe8ef5b41a044e3548c077a6a53f3d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c5db41a1f31d6baee7c69990811edb9f.png)
A.![]() | B.![]() | C.![]() | D.![]() |
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2023-03-25更新
|
1293次组卷
|
4卷引用:陕西省西安市第八十三中学等校2023届高三二轮复习联考(一)文科数学试题
名校
8 . 已知
是坐标原点,
是双曲线
的左焦点,平面内一点
满足
是等边三角形,线段
与双曲线
交于点
,且
,则双曲线
的离心率为( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1dde8112e8eb968fd042418dd632759e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a0ed1ec316bc54c37c4286c208f55667.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/96c4088276acdbede4781b2ebc466366.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ac047e91852b91af639feec23a9598b2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a8c3b743769d19231c2165ec275bab1b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/907d5147cea4c9ce855074864fe54506.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2a30f3a8b673cc28bd90c50cf1a35281.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/54a5d7d3b6b63fe5c24c3907b7a8eaa3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4679e6d7be92bc79925afceba9689666.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2a30f3a8b673cc28bd90c50cf1a35281.png)
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|
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|
5卷引用:陕西省部分名校2023届高三下学期高考仿真模拟文科数学试题
解题方法
9 . 已知双曲线
:
(
)的左、右焦点分别是
,
,
是双曲线
上的一点,且
,若
,则双曲线
的离心率是( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c5db41a1f31d6baee7c69990811edb9f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7b7453a4f98c7aef4f66f87782298b2b.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/dad2a36927223bd70f426ba06aea4b45.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c5db41a1f31d6baee7c69990811edb9f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0c1f74cdcd09b3f03ee3849028c28fee.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c2427943a38dcd93c9ec9b735ffc9fe5.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c5db41a1f31d6baee7c69990811edb9f.png)
A.![]() | B.![]() | C.![]() | D.![]() |
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2023-03-13更新
|
1115次组卷
|
3卷引用:陕西省榆林市2023届高三下学期二模文科数学试题
名校
解题方法
10 . 已知双曲线C:
的左、右焦点分别为
,
,过
的直线与圆
相切于点Q,与双曲线的右支交于点P,若线段
的垂直平分线恰好过右焦点
,则双曲线C的离心率为( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3040b6c904477030ecf8ba20b2b18759.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/1e4be819fc47b2aa19ab2022b3dfeb6f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7a5f1641947153c80b987320885a2b57.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a3fb78c5f885034612c0e030b920143d.png)
A.![]() | B.![]() | C.![]() | D.2 |
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2023-02-28更新
|
1168次组卷
|
4卷引用:陕西省西安市周至县2023届高三下学期一模理科数学试题