1 . 已知
、
是椭圆
的左、右顶点,
是直线
上的动点(不在
轴上),
交椭圆于点
,
与
交于点
,则下列说法正确的是( )
![](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/bb76f4cf79bf0299fdc43f14fd5477e7.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dad2a36927223bd70f426ba06aea4b45.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8e93309062496a9c6d3dead5a9fa59c7.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/81dea63b8ce3e51adf66cf7b9982a248.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/20a541b81584a032f571159ea152c85a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ac047e91852b91af639feec23a9598b2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e69d2b798744645af88a4fa411344a83.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/abd13974aebe38eb2a1d744a01ea5aa5.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/54a5d7d3b6b63fe5c24c3907b7a8eaa3.png)
A.![]() | B.若点![]() ![]() |
C.![]() | D.点![]() |
您最近一年使用:0次
2023-12-26更新
|
685次组卷
|
3卷引用:江苏省泰州中学、宿迁中学、宜兴中学2024届高三上学期12月调研测试数学试题
解题方法
2 . 设椭圆C:
的左、右焦点分别为
、
,椭圆C的右顶点为A,点P、Q都在椭圆C上且P、Q关于原点对称,直线
与椭圆C相交于点M、N,则下列说法正确的是( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c82e7d9f4f7ace849e09e9adcb786b7f.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/36d71f015144ffaf1faec94a259b4a06.png)
A.四边形![]() |
B.![]() |
C.直线PA,QA的斜率之积为定值![]() |
D.当![]() ![]() ![]() |
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3 . 如图,已知椭圆
的左、右顶点分别是
,
,上顶点为B,点P是椭圆上的一点(不同于
,
),直线
与直线
交于点M,直线
交直线
于点G(O是坐标原点),记直线
,
的斜率分别为
,
,则下列说法正确的是( )
![](https://img.xkw.com/dksih/QBM/editorImg/2024/1/19/6f69cabc-b344-4446-a984-25781dd7df40.jpg?resizew=179)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d80b861ba40387cb2bcd04945f5a371a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a18722354086c42e62334983fc50eb6a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/cd3b9e816b14051f785aa5aae72b8eed.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a18722354086c42e62334983fc50eb6a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/cd3b9e816b14051f785aa5aae72b8eed.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7d0ff310aabd2282b539537ebed3f788.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/707ea658f3a9359f5740d5aab48f7948.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/aaf3369e0ea90e8d5cf4b6b3c45c0fd8.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/edc48974114e23f5a801843710c7ae21.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/800c5e266b4ad8462a46970f0a232d52.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f46b053f98b1d05a2043e94eeaefea87.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6defc43285a40f7ccb74c1cc04265eba.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/423b7ae39db552e60ee8b1d27312306f.png)
![](https://img.xkw.com/dksih/QBM/editorImg/2024/1/19/6f69cabc-b344-4446-a984-25781dd7df40.jpg?resizew=179)
A.![]() | B.![]() |
C.![]() ![]() | D.![]() ![]() |
您最近一年使用:0次
2023-12-18更新
|
210次组卷
|
2卷引用:山西省临汾市同盛实验中学2024届高三核心模拟(中)数学试题(六)
4 . 设椭圆
:
(
)的左、右焦点分别为
,
,左、右顶点分别为
,
,点
是
上异于
的一点.则下列结论正确的是( )
![](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/5a0c4c098615c6bc7e6dcf72e5b5201a.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/a18722354086c42e62334983fc50eb6a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/cd3b9e816b14051f785aa5aae72b8eed.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)
A.点![]() ![]() ![]() |
B.若![]() ![]() ![]() ![]() ![]() |
C.当点![]() ![]() ![]() |
D.若![]() ![]() ![]() ![]() ![]() |
您最近一年使用:0次
5 . 已知椭圆
:
,
是坐标原点,
是椭圆
上的动点,
,
是
的两个焦点( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/acc290b44635265137fdf13146b6a6d9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6205da5e1d2730ee0b3de8bca3e29f5e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1dde8112e8eb968fd042418dd632759e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dad2a36927223bd70f426ba06aea4b45.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/acc290b44635265137fdf13146b6a6d9.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/acc290b44635265137fdf13146b6a6d9.png)
A.若![]() ![]() ![]() |
B.若![]() ![]() ![]() ![]() ![]() |
C.若过![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() |
D.若![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() |
您最近一年使用:0次
名校
解题方法
6 . 已知椭圆
的左、右焦点分别为
,
,上顶点为
,直线
与椭圆
交于
,
两点,点
,则( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e69daca955a565fa537347dd0d93783f.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/7f9e8449aad35c5d840a3395ea86df6d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6ca8b6ac96dfe0046b7ca1745176ca22.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/d20d222540f4a27868310fb557430dfd.png)
A.![]() |
B.四边形![]() |
C.直线![]() ![]() ![]() |
D.若点![]() ![]() ![]() ![]() |
您最近一年使用:0次
2023-11-24更新
|
904次组卷
|
4卷引用:湖北省荆荆襄宜七校考试联盟2023-2024学年高二上学期期中联考数学试题
湖北省荆荆襄宜七校考试联盟2023-2024学年高二上学期期中联考数学试题黑龙江省哈尔滨市黑龙江省实验中学2023-2024学年高二上学期12月月考数学试题湖北省十堰市六县市区一中教联体2023-2024学年高二上学期12月联考数学试题(已下线)第三章 圆锥曲线单元测试(巅峰版)-【冲刺满分】2023-2024学年高二数学重难点突破+分层训练同步精讲练(人教A版2019选择性必修第一册)
名校
解题方法
7 . 已知椭圆
分别为它的左右焦点,
分别为它的左右顶点,点
是椭圆上的一个动点,下列结论中正确的有( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4bbaadaa9ace3f296ebe124dcd6032a9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/01c74a907dda6bb7d9d56d009d9df253.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dad2a36927223bd70f426ba06aea4b45.png)
A.存在![]() ![]() |
B.![]() ![]() |
C.直线![]() ![]() ![]() |
D.![]() ![]() |
您最近一年使用:0次
2023-11-17更新
|
441次组卷
|
2卷引用:山东省聊城市2023-2024学年高二上学期11月期中数学试题
8 . 已知椭圆
的左顶点为
,上、下顶点分别为
,动点
在椭圆上(点
在第一象限,点
在第四象限),
是坐标原点,若
的面积为1,则( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c82e7d9f4f7ace849e09e9adcb786b7f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5963abe8f421bd99a2aaa94831a951e9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/39acab3cfb59bfc9591371721ab01d93.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1325c6fe42a9e5c04520d8a9bb6821b8.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dad2a36927223bd70f426ba06aea4b45.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/acc290b44635265137fdf13146b6a6d9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1dde8112e8eb968fd042418dd632759e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ea1f0417d8269f01d8e0bc1a8756e2ac.png)
A.![]() | B.![]() |
C.![]() ![]() | D.![]() ![]() |
您最近一年使用:0次
9 . 椭圆有如下的光学性质,从椭圆的一个焦点出发的光线射到椭圆镜面后反射,反射光线经过另一个焦点.现椭圆
的焦点在
轴上,中心在坐标原点,左、右焦点分别为
、
.一束光线从
射出,经椭圆镜面反射至
,若两段光线总长度为6,且椭圆的离心率为
,左顶点和上顶点分别为
.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/81dea63b8ce3e51adf66cf7b9982a248.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/f5076289823db419f94e9c0c8f4aafd9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a3fb78c5f885034612c0e030b920143d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3fe2c533dbc23a34518f72f3cb14f330.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/01c74a907dda6bb7d9d56d009d9df253.png)
A.椭圆的标准方程为![]() |
B.若点![]() ![]() ![]() |
C.若点![]() ![]() ![]() |
D.过直线![]() ![]() ![]() ![]() ![]() ![]() |
您最近一年使用:0次
2023-11-12更新
|
715次组卷
|
4卷引用:湖北省武汉市部分重点中学2023-2024学年高二上学期期中联考数学试题
解题方法
10 . 已知
是椭圆
上不同的三点,记
的面积分别为
(
为坐标原点).若
,则( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/89fc107c4b33d6dd648b396156494ea9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f5ddaa027ce520c1c035399c3674bf39.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b6df6c8a71a2b86cf97bb16d47896985.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/fcf4e20ea341827ce5f9552daee39462.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/35d463a756590a91a64ed1e48aa2d79a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8eaab74c692ee46b4f9c6fe4cf1eec21.png)
A.![]() | B.![]() |
C.![]() | D.![]() |
您最近一年使用:0次