1 . 已知F是椭圆
的右焦点,A为椭圆
的上顶点,双曲线
与椭圆
共焦点,若直线
与双曲线
的一条渐近线平行,
,
的离心率分别为
,则![](https://staticzujuan.xkw.com/quesimg/Upload/formula/380bbc7f10e9380ae9db24047fca6720.png)
__________ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/fd486b8796b3454eab219c28ed131683.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b1241216f3c1cb5e73043dd1037f556d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2d101bd6b9e4d8bda938e85d2ddce2c3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b1241216f3c1cb5e73043dd1037f556d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/79ff575e55857af133edb24c8e61504f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/23f3ffe7abc59e2f65d827c8eab8d36a.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/f994a876391534efe497dc115a53e3fa.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/380bbc7f10e9380ae9db24047fca6720.png)
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2 . 双曲线
的左、右焦点分别为点
,斜率为正的渐近线为
,过点
作直线
的垂线,垂足为点
,交双曲线于点
,设点
是双曲线
上任意一点,若
,则( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/83bf4fd84818abac17a9d21237ac5ce5.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4d2a97987f71835f519b462f5b8f5957.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2e9b0f5f44abbc6544a2f672b025b013.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a3fb78c5f885034612c0e030b920143d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2e9b0f5f44abbc6544a2f672b025b013.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5963abe8f421bd99a2aaa94831a951e9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dad2a36927223bd70f426ba06aea4b45.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/027194ee457f8d2e7dfd7d6795841b5e.png)
A.双曲线![]() ![]() |
B.双曲线![]() ![]() |
C.当点![]() ![]() ![]() |
D.点![]() ![]() |
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3 . 设双曲线
的左焦点为F,O为坐标原点,P为双曲线C右支上的一点,
,
在
上的投影向量的模为
,则双曲线C的离心率为( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8a2cfa22139b3e9c9a73500e1ba19f52.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/775c7ecd1713fe49c0b449bfc58d72c5.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b001cb332a64f2a72dd71a41862595ca.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b2e065fbbc5c8160545b51f50b2a9606.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a8ca651e78a0a182d81c30488683d594.png)
A.3 | B.4 | C.5 | D.6 |
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2024-06-11更新
|
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2卷引用:贵州省2024届高三下学期4月新高考“大数据赋分”诊断性联合考试数学试题
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解题方法
4 . 已知点
,
分别是双曲线
的左、右焦点,过
作倾斜角为
的直线l与双曲线的左、右两支分别交于A,B两点,且
,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/83bf4fd84818abac17a9d21237ac5ce5.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f5076289823db419f94e9c0c8f4aafd9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c67d01e61dc0042e67b5e8ec8e727c22.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f418b042e60a805fe1ba91d3a9c667a3.png)
A.![]() | B.2 | C.![]() | D.![]() |
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5 . 已知
分别是双曲线
的左、右焦点,经过点
且与
轴垂直的直线与
交于点
,且
,则该双曲线离心率的取值范围是_____________________ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/40f98254a6193566587a70c7d95fdabf.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a5ec7fa23be9cbe9a50607ea6bc8a4ff.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a3fb78c5f885034612c0e030b920143d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/81dea63b8ce3e51adf66cf7b9982a248.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0ac89d45e79b10741d93a9443c70adde.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5963abe8f421bd99a2aaa94831a951e9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/33558fa9a56d8874e9fad867adbed2bc.png)
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2024-04-16更新
|
1187次组卷
|
4卷引用:云南、广西、贵州2024届“3+3+3”高考备考诊断性联考(二)数学试卷
云南、广西、贵州2024届“3+3+3”高考备考诊断性联考(二)数学试卷云南、广西、贵州2024届“3+3+3”高考备考诊断性联考(二)数学试卷山东省菏泽第一中学八一路校区2023-2024学年高三下学期三月份月考数学试题(已下线)云南、广西、贵州2024届“3+3+3”高考备考诊断性联考(二)数学试题变式题11-15
解题方法
6 . 已知双曲线
的左、右焦点分别为
,
,过点
作直线
交双曲线的右支于点
,交
轴于点
,且满足
,
,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/a3fb78c5f885034612c0e030b920143d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0f85fca60a11e1af2bf50138d0e3fe62.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5963abe8f421bd99a2aaa94831a951e9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d053b14c8588eee2acbbe44fc37a6886.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7f9e8449aad35c5d840a3395ea86df6d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/79c9c99a7a223aa1c7ad74dab0608035.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e4efa339dbb8c7026b0959971349ae18.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c5db41a1f31d6baee7c69990811edb9f.png)
A.![]() | B.![]() | C.![]() | D.![]() |
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7 . 已知点P是双曲线C:
与圆
在第一象限的公共点,若点P关于双曲线C其中一条渐近线的对称点恰好在y轴负半轴上,则双曲线C的离心率![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dbf572ae7c1ef0b410a0b2702cc96223.png)
___________ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c59f8afa4c99e0fc6210cf98646f0ab2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/544867c3f809b7ce4e38792e7802c530.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dbf572ae7c1ef0b410a0b2702cc96223.png)
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2024-03-07更新
|
156次组卷
|
2卷引用:贵州省贵阳市清华中学2023-2024学年高二下学期4月月考数学试题
解题方法
8 . 已知点
,
分别为双曲线C:
(
)的左、右焦点,点
到渐近线的距离为2,过点
的直线l与C的左、右两支曲线分别交于A,B两点,且
,则下列说法正确的为( )
![](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/0e6dcd52515fe86ac3989adef2939466.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/3bbf7426846fb181e7c6f9e8faca929a.png)
A.![]() |
B.双曲线C的离心率为2 |
C.![]() |
D.![]() |
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解题方法
9 . 已知双曲线
:
,则下列说法正确的是( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c5db41a1f31d6baee7c69990811edb9f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e66fbc91467ed4996d82707a6120b1fb.png)
A.双曲线![]() | B.双曲线C的焦点在y轴上 |
C.双曲线![]() ![]() | D.双曲线C的离心率![]() |
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10 . 已知双曲线
的左、右焦点分别为
,点
是
上的动点,则( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3db0cc24753f6ea44c19c3cc49e26024.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/c5db41a1f31d6baee7c69990811edb9f.png)
A.![]() |
B.![]() ![]() |
C.以![]() ![]() ![]() |
D.存在点![]() ![]() ![]() |
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2023-03-06更新
|
383次组卷
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3卷引用:贵州省毕节市七星关区第一教育集团(毕节二中)2023-2024学年高二上学期期末考试数学试卷