1 . 将椭圆
上所有的点绕原点旋转
角,得到椭圆
的方程:
,则下列说法中正确的是( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/fd486b8796b3454eab219c28ed131683.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/da862aa92369e54ed07e7a3ee49a836f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/23f3ffe7abc59e2f65d827c8eab8d36a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/432e7fa1a93593ff04ac1016a30068e3.png)
A.![]() | B.椭圆![]() ![]() |
C.![]() ![]() | D.![]() |
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2 . 已知曲线![](https://staticzujuan.xkw.com/quesimg/Upload/formula/80fbe5e9b0abbbaeccc641cee1b637c4.png)
,将曲线
用函数
表示,则下列说法正确的是( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/80fbe5e9b0abbbaeccc641cee1b637c4.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/92da99f65ba23ab0ddcfd50d92b8ff31.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4bcd8ee2d8367c167d6ae0abc741b6b8.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
A.![]() ![]() |
B.![]() ![]() |
C.![]() ![]() |
D.若直线![]() ![]() ![]() ![]() ![]() |
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3 . 已知椭圆
,将C向右平移4个单位,向上平移3个单位得到椭圆E,若点A,B分别在C,E上,
,
分别为C,E的中心,则( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/279cefeb5c389a37a71e5fd3925f5954.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/23f919bd3dde10dbbc076f7ec5149699.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3c4f6f74444b2b7947fc6e35c8d62322.png)
A.E的方程为![]() | B.C和E没有交点 |
C.A,B的纵坐标之差可以为7 | D.![]() ![]() |
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4 . 若矩形
的所有顶点都在椭圆
上,且
,
,点
是
上与
不重合的动点,则( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/411b38a18046fea8e9fab1f9f9b80a5f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/73873f0b510f7824b5e8040f9bdefe68.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/699fc9b7e879af4866aaa07848dfb423.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/48f3e7295f0f8aec02313109d32ab4af.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dad2a36927223bd70f426ba06aea4b45.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2a30f3a8b673cc28bd90c50cf1a35281.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0c82a10b4f0c9323d726804c89dd9548.png)
A.![]() | B.存在点![]() ![]() |
C.直线![]() ![]() | D.直线![]() ![]() |
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5 . 已知椭圆
的左、右焦点分别为
,过点
且垂直于x轴的直线与该椭圆相交于A,B两点,且
,点P在该椭圆上,则下列说法正确的是( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/36c6162828793e697cb1ad643b287c4b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/871868260c78a20767eae39bcdb97476.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a3fb78c5f885034612c0e030b920143d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a983df57f48039f3c03303a8ed2fb543.png)
A.存在点P,使得![]() | B.若![]() ![]() |
C.满足![]() | D.![]() ![]() |
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6 . 已知椭圆
,
,
分别为它的左右焦点,
,
分别为它的左右顶点,点
是椭圆
上异于
,
的一个动点.下列结论中,正确的有( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ca2c2c7a8f822a339a40fb724c3be2b1.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/5963abe8f421bd99a2aaa94831a951e9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7f9e8449aad35c5d840a3395ea86df6d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dad2a36927223bd70f426ba06aea4b45.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2a30f3a8b673cc28bd90c50cf1a35281.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5963abe8f421bd99a2aaa94831a951e9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7f9e8449aad35c5d840a3395ea86df6d.png)
A.椭圆![]() ![]() | B.满足![]() ![]() |
C.![]() | D.直线![]() ![]() ![]() |
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2023-11-22更新
|
809次组卷
|
3卷引用:广西壮族自治区广西贵港市、百色市、河池市2023-2024学年高三上学期11月质量调研联考数学试题
7 . 已知椭圆
的左、右焦点分别为
,直线y=m与C交于A,B两点(A在y轴右侧),O为坐标原点,则下列说法正确的是( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/eb27e0da15121c20426db4f348b97470.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4d2a97987f71835f519b462f5b8f5957.png)
A.![]() |
B.当![]() |
C.若![]() ![]() |
D.存在实数m使得四边形ABF1O为平行四边形 |
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2023-05-10更新
|
951次组卷
|
3卷引用:云南省昆明市2023届高三“三诊一模”高考模拟考试数学试题
8 . 已知椭圆
,
,
分别为它的左右焦点,
,
分别为它的左右顶点,点
是椭圆
上异于
,
的一个动点.下列结论中,正确的有( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7556134a70c95ed45501e86d29f57ad1.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/5963abe8f421bd99a2aaa94831a951e9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7f9e8449aad35c5d840a3395ea86df6d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dad2a36927223bd70f426ba06aea4b45.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2a30f3a8b673cc28bd90c50cf1a35281.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5963abe8f421bd99a2aaa94831a951e9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7f9e8449aad35c5d840a3395ea86df6d.png)
A.椭圆![]() | B.满足![]() ![]() |
C.![]() | D.直线![]() ![]() ![]() |
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2023-04-09更新
|
617次组卷
|
2卷引用:浙江省杭州市富阳区实验中学2022-2023学年高二下学期3月月考数学试题
解题方法
9 . 已知椭圆
的右焦点为F,过F作x轴的垂线交椭圆C于点P(P在第一象限),直线OP(O是坐标原点)与椭圆C另交于点A,直线AF与椭圆C另交于点B,若
,直线PA,PB,AB的斜率分别记为
,
,
,椭圆C的离心率为e,则( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ad523e69a1bf925e73a22900b9855df2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/83640592853a53872d7af69c0cffc1bb.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9626bd07f966ea26a51dcd8ceba04ff9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/edf32f4d595c02a8c0f7cc5f8fd0c931.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4c1dc007e36c78ab98df4cd2383b4c5d.png)
A.![]() | B.![]() | C.![]() | D.![]() |
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10 . 已知曲线C的方程为
,点P在C上,O为坐标原点,则( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6f3a40030d415e8035bef9652ae8426d.png)
A.曲线C关于原点对称 |
B.![]() |
C.设C与坐标轴所围成图形的面积为S,则![]() |
D.若M是直线![]() ![]() |
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