解题方法
1 . 已知双曲线
的左、右焦点分别为B,C,以BC为直径的圆与渐近线交与点A,连接AB与另一条渐近线交与点E,
为原点,
,且
.若
在
上的投影向量为
,则
( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/83bf4fd84818abac17a9d21237ac5ce5.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1dde8112e8eb968fd042418dd632759e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/888f3f66a185ab290254e17c251d63ff.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/73c916d5b02f278ee842393dab6dcce4.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/083a20abb668d4c26fe5039bd108b40a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f89265cbe3abc6b966ce8967fead448b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/22c55b0570e6d6f6938c62d6a56abb09.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ca902cd1857b0b95703521972a4214eb.png)
A.![]() | B.![]() | C.![]() | D.![]() |
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2 . 抛物线
上的点
到其焦点的距离是M到y轴距离的2倍,过双曲线C:
的左右顶点A、B作C的同一条渐近线的垂线,垂足分别为P、Q,
,则双曲线的离心率为( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/363deb35be2d5d0970de9670ddaa9e27.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ffd1b0b1017a67293acca4b7c6529c79.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3040b6c904477030ecf8ba20b2b18759.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0dabc903151d7161c17e33706daf1871.png)
A.2 | B.![]() | C.![]() | D.![]() |
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解题方法
3 . 设曲线C是双曲线,则“C的方程为
”是“C的渐近线方程为
”的( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/697300b7e93eeee1ec80e4e6c349ebe8.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f10273b05ad8210d8db07639c4d149fd.png)
A.充分不必要条件 | B.必要不充分条件 | C.充分必要条件 | D.既不充分也不必要条件 |
您最近一年使用:0次
2024-03-13更新
|
186次组卷
|
3卷引用:河北省石家庄精英中学2023-2024学年高二上学期期末数学试题
河北省石家庄精英中学2023-2024学年高二上学期期末数学试题广东省(深圳外国语、东莞东华高级中学、阳江一中、河源中学)2023-2024学年高二下学期阶段性考试数学试题(已下线)专题06集合与常用逻辑用语、不等式期末6种常考题型归类【好题汇编】-备战2023-2024学年高二数学下学期期末真题分类汇编(人教B版2019)
4 . 已知曲线E:
,则下列结论中错误的是( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9f6ab027404b25dd4b24e2f28b898029.png)
A.曲线E关于直线![]() |
B.曲线E与直线![]() |
C.曲线E上的点到直线![]() ![]() |
D.曲线E与圆![]() |
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解题方法
5 . 过双曲线
的右顶点
作斜率为
的直线
,与
的两条渐近线分别交于点
,若
,则双曲线
的离心率为( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/83bf4fd84818abac17a9d21237ac5ce5.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5963abe8f421bd99a2aaa94831a951e9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/bdaa19de263700a15fcf213d64a8cd57.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/eab4cf09670861e61d67cbe70bb149a9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d2955d128062a86ff1ad19475f0104a9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c5db41a1f31d6baee7c69990811edb9f.png)
A.![]() | B.![]() | C.![]() | D.![]() |
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2024-03-12更新
|
321次组卷
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2卷引用:内蒙古赤峰市2023~2024学年高三上学期1.30模拟文科数学试题
解题方法
6 . 已知双曲线
的离心率是
,
,
分别是其左、右焦点,过点
且与双曲线经过第一、三象限的渐近线平行的直线方程是( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0e9efc511fa9b4ad4ca983cc5b1b6166.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5ca7d1107389675d32b56ec097464c14.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a09a8ac969e5cec3be6abf4ff44c692e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ce6758b8b074d33ea9e82818593656e1.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ce6758b8b074d33ea9e82818593656e1.png)
A.![]() | B.![]() |
C.![]() | D.![]() |
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7 . 已知双曲线C:
(
,
),若四个点
,
,
,
(
,
)中有三个点在C上,则该双曲线的渐近线方程为( )
![](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/251102916ec3a64df667c1e14c6dfd89.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/04529472264cdcd72ac29ead983df370.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4a55623ea0fe0b6fbd71c3ecc8c04276.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ce92b4d36f31085ea8315f249dbf6c53.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/da663e39e96645a5c44a78501b9d9c11.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/232d1ce3ad14256b1543e6007ff1675d.png)
A.![]() | B.![]() | C.![]() | D.![]() |
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解题方法
8 . 经过双曲线
的右焦点
作该双曲线的一条渐近线的垂线
,垂足为
,且
交另一条渐近线于点
,若
,则
的值为( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b3e6bc84e6adc74f093afc8946146076.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a0ed1ec316bc54c37c4286c208f55667.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0f85fca60a11e1af2bf50138d0e3fe62.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ac047e91852b91af639feec23a9598b2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0f85fca60a11e1af2bf50138d0e3fe62.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/54a5d7d3b6b63fe5c24c3907b7a8eaa3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/daf0a855871e1687dac94280df0b822c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2c94bb12cee76221e13f9ef955b0aab1.png)
A.![]() | B.![]() | C.![]() | D.![]() |
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解题方法
9 . 已知
分别为双曲线
的左、右焦点,过双曲线
右支上一点
作直线
交
轴于点
,交
轴于点
,则下列说法正确的是( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4d2a97987f71835f519b462f5b8f5957.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/007fac72e804a2d3093b372e051eab77.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c5db41a1f31d6baee7c69990811edb9f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/50376118e6e3e9a43b08b194077fc9cd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0f85fca60a11e1af2bf50138d0e3fe62.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/81dea63b8ce3e51adf66cf7b9982a248.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/386f652252ffec6d721ee40c7d781e58.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d053b14c8588eee2acbbe44fc37a6886.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/54a5d7d3b6b63fe5c24c3907b7a8eaa3.png)
A.双曲线![]() ![]() |
B.双曲线![]() ![]() |
C.点![]() ![]() |
D.四边形![]() |
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解题方法
10 . 已知双曲线
(
),以双曲线C的右顶点A为圆心,b为半径作圆A,圆A与双曲线C的一条渐近线交于M,N两点,若
,则双曲线的离心率为( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2c5c2e64358e0ec7aa142c336d970306.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2684b72f9f38f5046c8ecd4280b7b14b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f3181e58f09e9fec4e43e422b82831b7.png)
A.![]() | B.![]() | C.![]() | D.2 |
您最近一年使用:0次
2024-02-23更新
|
801次组卷
|
3卷引用:广西壮族自治区三新学术联盟2023-2024学年高二上学期期末教学质量检测数学试题