名校
解题方法
1 . 已知双曲线
经过点
,且与椭圆
有相同的焦点,则双曲线的标准方程为( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/19f3fa0b40fb0d9b8c62e37316ab3b04.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2dfea7d031a7481d83a2a77715f7fa6d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b747db7eaf469c6d1607e4b0d028299f.png)
A.![]() | B.![]() | C.![]() | D.![]() |
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名校
解题方法
2 . 已知双曲线
的渐近线方程为
,且
过点
,则双曲线
的实轴长为( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c5db41a1f31d6baee7c69990811edb9f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/fd4dee23d064142a7f49a478c0568a3d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c5db41a1f31d6baee7c69990811edb9f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/da61a8fc8f424929e9bf36622f1ca74f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c5db41a1f31d6baee7c69990811edb9f.png)
A.![]() | B.![]() | C.![]() | D.![]() |
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2023·内蒙古包头·一模
解题方法
3 . 已知点
在双曲线
:
(
)上,斜率为
的直线
过点
且不过点
.若直线
交
于
,
两点,且以线段
为直径的圆过点
,则
( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1f13bf66fc845b115de4ec45b4be0e23.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c5db41a1f31d6baee7c69990811edb9f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0797be40412fd0a089bd25cc1f83cbcf.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1d33da711e50e96568facb18cef27165.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f0a532e15e232cb4b99a8d4d07c89575.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0f85fca60a11e1af2bf50138d0e3fe62.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3a23e87d16c32b5aa4357f481b5808a0.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dad2a36927223bd70f426ba06aea4b45.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/ac047e91852b91af639feec23a9598b2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/54a5d7d3b6b63fe5c24c3907b7a8eaa3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/411461db15ee8086332c531e086c40c7.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dad2a36927223bd70f426ba06aea4b45.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dd707b69a11f8de5566f23c1a2a9ff5a.png)
A.![]() | B.![]() | C.![]() | D.![]() |
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解题方法
4 . 已知点
在双曲线
上,斜率为k的直线l过点
且不过点P.若直线l交C于M,N两点,且
,则
( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4754fbe523ca63eba3810a3f88f37df3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/87425965fb5596c6f3db3677dfcda72f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7e10de2c38bc918ae9e1ce62a5c70099.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ff7f1c631d2e85ad7d736429e25aa5f9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dd707b69a11f8de5566f23c1a2a9ff5a.png)
A.![]() | B.![]() | C.![]() | D.![]() |
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2023-03-16更新
|
575次组卷
|
4卷引用:内蒙古包头市2023届高三下学期一模文科数学试题
内蒙古包头市2023届高三下学期一模文科数学试题内蒙古包头市2023届高三下学期一模理科数学试题(已下线)专题14解析几何(选择填空题)(已下线)3.2.2双曲线的简单几何性质(第2课时)(分层作业)(3种题型分类基础练+能力提升练)-【上好课】高二数学同步备课系列(人教A版2019选择性必修第一册)
名校
5 . 某圆锥曲线
是椭圆或双曲线,若其中心为坐标原点,对称轴为坐标轴,且过
和
两点,则曲线
的离心率等于( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c5db41a1f31d6baee7c69990811edb9f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/236b49881b87245d60ca49ba4586e80a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/826d01a09fca1937998857ab1a6cce39.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c5db41a1f31d6baee7c69990811edb9f.png)
A.![]() | B.![]() | C.![]() | D.![]() |
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解题方法
6 . 初中时通常把反比例函数
的图像叫做双曲线,它的图像就是在圆锥曲线定义下的双曲线,只是因为坐标系位置的不同,所以方程的形式才不同,当K>0时只需把反比例函数的图像绕着原点顺时针旋转
,便得到焦点在x轴的双曲线的图形.所以也可以理解反比例函数的图像是以x轴,y轴为渐近线,以直线y=x为实轴的等轴双曲线,那么当k=4时,双曲线的焦距为( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2d49d34012ddf68fb981eb4975ac99b9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f1e5fa72f2878b476bc57f0df12d6555.png)
A.8 | B.4 | C.![]() | D.![]() |
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2023-02-25更新
|
298次组卷
|
3卷引用:福建省福州市八县(市)2022-2023学年高二上学期期末联考数学试题
解题方法
7 . 已知椭圆
:
的左、右焦点为
,
,点
为椭圆
内一点,点
在双曲线
:
上,若椭圆上存在一点
,使得
,则
的取值范围是( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c5db41a1f31d6baee7c69990811edb9f.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/5bdfc750fe0ace842a461e89f2b7b290.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c5db41a1f31d6baee7c69990811edb9f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8544f8483269db90305fa747eeac8b4d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2a30f3a8b673cc28bd90c50cf1a35281.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e21a9adb76905a5481db3d3b720de4a5.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dad2a36927223bd70f426ba06aea4b45.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/bd5b4c4b7e3d0efd9af736afed334717.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0a6936d370d6a238a608ca56f87198de.png)
A.![]() | B.![]() | C.![]() | D.![]() |
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2023-02-24更新
|
1153次组卷
|
3卷引用:山东省日照市2023届高三一模考试数学试题
解题方法
8 . 有一条渐近线为
且过点
的双曲线的标准方程为( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b2bdeeb6f5e38e3464c357d00839a6ce.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/fd3e8479ec84eacfac8d492dd869b617.png)
A.![]() | B.![]() |
C.![]() | D.![]() |
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解题方法
9 . 双曲线
的两个焦点为
,点
在双曲线
上,且满足
,则双曲线
的离心率为( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7c29bab2a74ca02d30e0deed068b042f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/bb4af6cd2269b409d2eb1db1b37af3d5.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2fb8c1ac253f504497962194df593bb1.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c5db41a1f31d6baee7c69990811edb9f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4be0160e528ddd1d2a7f20ad378879c6.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c5db41a1f31d6baee7c69990811edb9f.png)
A.![]() | B.![]() | C.2 | D.![]() |
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2023-02-22更新
|
505次组卷
|
3卷引用:陕西省咸阳市乾县第一中学2023届高三下学期一模文科数学试题
解题方法
10 . 过点
且与椭圆
有相同焦点的双曲线的标准方程为( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3654254401fc902c3cb4912969f21f88.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c733223639afd98d2a624e85c309e016.png)
A.![]() | B.![]() | C.![]() | D.![]() |
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