1 . 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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2 . 椭圆
的左右焦点分别为
,若P,Q为椭圆C上两点,命题p:椭圆C的离心率
.则下列说法正确的是( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e756feec2851b90497421790a7206e76.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4d2a97987f71835f519b462f5b8f5957.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d5c7316976a221c051a2c14df80b1347.png)
A.命题a:![]() ![]() ![]() ![]() |
B.命题b:![]() ![]() |
C.命题c:![]() ![]() ![]() |
D.命题d:![]() ![]() ![]() |
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3 . 已知椭圆C:
,
,
是其左、右焦点,
为椭圆C上的一点,下列结论正确的是( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09c03c6b8d7418edf20f474389971352.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)
A.满足![]() ![]() |
B.直线l为椭圆C在P点处的切线,过![]() ![]() ![]() ![]() |
C.过点![]() ![]() ![]() |
D.过点![]() ![]() ![]() |
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4 . 月光石是由两种长石混合组成的具有月光效应的长石族矿物.某月光石的截面曲线可近似看成由半圆和半椭圆组成.圆的半径、椭圆的短半轴长都为1,椭圆的焦距为
是曲线上不同的两点,
为坐标原点,
的面积为
,则( )
![](https://img.xkw.com/dksih/QBM/editorImg/2023/12/3/c42954d9-1a1e-435f-9b78-03fa7aa96149.png?resizew=161)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0f4689e7492d26d4f77a0c74d4444550.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1dde8112e8eb968fd042418dd632759e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e2b83beedb3438153e6f728545fe3e03.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d166e13302046b25a2fa36af1e72f7a8.png)
![](https://img.xkw.com/dksih/QBM/editorImg/2023/12/3/c42954d9-1a1e-435f-9b78-03fa7aa96149.png?resizew=161)
A.线段![]() ![]() |
B.若![]() ![]() ![]() |
C.当![]() ![]() ![]() ![]() ![]() |
D.若![]() ![]() ![]() ![]() |
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2023-12-11更新
|
344次组卷
|
3卷引用:山西省大同市2023-2024学年高二上学期11月期中数学试题
名校
解题方法
5 . 已知椭圆
,点
为坐标原点,
分别是椭圆
的左右焦点,则下列选项正确的是( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6533a2123bcaa8c7dcd36d5e3f37700f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1dde8112e8eb968fd042418dd632759e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4d2a97987f71835f519b462f5b8f5957.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b1241216f3c1cb5e73043dd1037f556d.png)
A.椭圆![]() ![]() ![]() |
B.![]() ![]() ![]() ![]() |
C.直线![]() ![]() |
D.已知圆![]() ![]() ![]() ![]() ![]() ![]() |
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6 . 画法几何的创始人——法国数学家蒙日发现:在椭圆
:![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1d7aea48c44781a844b5c19191f70f61.png)
中,任意两条互相垂直的切线的交点都在同一个圆上,它的圆心是椭圆的中心,半径等于长、短半轴平方和的算术平方根,这个圆就称为椭圆
的蒙日圆,其圆方程为
.已知椭圆
的离心率为
,点
均在椭圆
上,直线
:
,则下列描述正确的为( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c5db41a1f31d6baee7c69990811edb9f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1d7aea48c44781a844b5c19191f70f61.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3f82eb4ba631d0f50d848aa6e576b379.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c5db41a1f31d6baee7c69990811edb9f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/833bf16f0161259e9d973dbdd5c6b18c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c5db41a1f31d6baee7c69990811edb9f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/968896e5a0785ec60382a3cb3cfcf260.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/01c74a907dda6bb7d9d56d009d9df253.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c5db41a1f31d6baee7c69990811edb9f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0f85fca60a11e1af2bf50138d0e3fe62.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1b41ec44a7551e6561e27381313be50c.png)
A.点![]() ![]() ![]() |
B.若![]() ![]() ![]() ![]() ![]() ![]() |
C.若![]() ![]() ![]() ![]() |
D.若![]() ![]() ![]() ![]() ![]() ![]() |
您最近一年使用:0次
2023-11-22更新
|
532次组卷
|
2卷引用:浙江省A9协作体2023-2024学年高二上学期期中联考数学试题
名校
解题方法
7 . 已知
是椭圆
(
)焦点,且
,过点
作不与坐标轴垂直的直线l与椭圆
交于P,Q两点,当点P为椭圆C的上顶点时,直线l与直线
垂直,则下列说法正确的是( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5c38928a92bc4b44ed3c9b89769f5372.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d7d72a07a4e5acfc140a3cea1f26b951.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5a0c4c098615c6bc7e6dcf72e5b5201a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/47abdd176ef29ffe97de45376494b1b2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a3fb78c5f885034612c0e030b920143d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c5db41a1f31d6baee7c69990811edb9f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b386e2c5d9ad7cec404ce5c40dbebe42.png)
A.当![]() ![]() ![]() |
B.若点![]() ![]() ![]() |
C.若点M,N在x轴上,其中![]() ![]() ![]() |
D.过椭圆![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() |
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8 . 已知
,
,满足条件
的动点
的轨迹为
,满足条件
的动点
的轨迹为
,则下列结论正确的是( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a0929421a6188c3122442866b0b85a5e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f55d12701014cf53071093e8739d089b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/bc869db22586a339bb68822e90fb01a4.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/32c2c36e8c6a89497e3c2e562415a100.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/acc290b44635265137fdf13146b6a6d9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8455657dde27aabe6adb7b188e031c11.png)
A.轨迹![]() |
B.轨迹![]() |
C.轨迹![]() ![]() |
D.轨迹![]() ![]() |
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解题方法
9 . 已知曲线
:
,
,
,
为
上异于
,
的一点,直线
与直线
交于点
,直线
与直线
交于点
,则( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c5db41a1f31d6baee7c69990811edb9f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/11b70b61b1744f6a624361de24a99043.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8a18a7caa080988802ba1145b4fe4203.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/08ef03f452410ab19c6246567c427178.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/5963abe8f421bd99a2aaa94831a951e9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7f9e8449aad35c5d840a3395ea86df6d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/20a541b81584a032f571159ea152c85a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/da322ac8867e8a47c6588601078abf18.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ac047e91852b91af639feec23a9598b2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2cdba1337ec85fa9722cb4b320a82ae6.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/39cc033406da2cdd342308972c6701f1.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/54a5d7d3b6b63fe5c24c3907b7a8eaa3.png)
A.存在两个定点,使得![]() |
B.直线![]() ![]() ![]() |
C.![]() ![]() |
D.当直线![]() ![]() ![]() ![]() |
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解题方法
10 . 已知椭圆
:
的中心为
,
,
是
上的两个不同的点且满足
,则( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c5db41a1f31d6baee7c69990811edb9f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/271e595c257e4c0ade90a9bbbf0e6b0d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1dde8112e8eb968fd042418dd632759e.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/c5db41a1f31d6baee7c69990811edb9f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3825ccc273ef9a672a606432d165b866.png)
A.点![]() ![]() |
B.![]() ![]() ![]() ![]() ![]() |
C.![]() ![]() |
D.![]() ![]() ![]() |
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