名校
1 . 已知圆
:
(
)和
:
,动圆
与圆
内切,与圆
外切,
是
的内心,且
,则
的值为__________ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b1241216f3c1cb5e73043dd1037f556d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b331c9a86821adada157cb0d6eb71b1d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b6419f713570ae5f72743f8fda9237f4.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/23f3ffe7abc59e2f65d827c8eab8d36a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/837fbc4862ae7c699199535d991234a7.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ac047e91852b91af639feec23a9598b2.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/dad2a36927223bd70f426ba06aea4b45.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/96d6c0b1e09f546c5ce77316daa8050f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a0eeca6ffb7937275ad3e57910ed3a8f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0a6936d370d6a238a608ca56f87198de.png)
您最近一年使用:0次
2021-03-01更新
|
770次组卷
|
5卷引用:第三章 (综合培优)圆锥曲线的方程 B卷-【双基双测】2021-2022学年高二数学同步单元AB卷(浙江专用)(人教A版2019选择性必修第一册)
第三章 (综合培优)圆锥曲线的方程 B卷-【双基双测】2021-2022学年高二数学同步单元AB卷(浙江专用)(人教A版2019选择性必修第一册)浙江省温州中学2021届高三下学期2月返校考试数学试题安徽省亳州市涡阳县育萃高级中学2020-2021学年高二下学期第一次月考数学(理)试题(已下线)第二章 直线和圆的方程(选拔卷)-【单元测试】2021-2022学年高二数学尖子生选拔卷(人教A版2019选择性必修第一册)(已下线)第三章 圆锥曲线的方程(单元重点综合测试)-2023-2024学年高二数学单元速记·巧练(人教A版2019选择性必修第一册)
2 . 已知曲线
,( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6a289546632308cc5a9244ba43c12fbd.png)
A.若E表示双曲线,则![]() | B.若![]() |
C.若E表示椭圆,则![]() | D.若![]() ![]() |
您最近一年使用:0次
3 . 在平面直角坐标系
中,已知椭圆
的四个顶点围成的四边形的面积为
,椭圆的左焦点![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a45349f54f6abc8d331556557255f024.png)
![](https://img.xkw.com/dksih/QBM/2021/2/3/2650310066290688/2651388766789632/STEM/57d1f4d7646349e9b8f520c315651e03.png?resizew=185)
(1)求椭圆的方程;
(2)
,是否存在斜率为
的直线l与椭圆相交于两点M,N,且
,若存在,求出直线l的方程,若不存在,说明理由.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7ee31829d0d4d5f779a957d7df8058ab.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ad523e69a1bf925e73a22900b9855df2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4e2031d209711b058f3d278ede3c1d33.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a45349f54f6abc8d331556557255f024.png)
![](https://img.xkw.com/dksih/QBM/2021/2/3/2650310066290688/2651388766789632/STEM/57d1f4d7646349e9b8f520c315651e03.png?resizew=185)
(1)求椭圆的方程;
(2)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5a9cb4b48bdfbb1aa677e5d8dcc7ad8d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/acbc6a613224461ade69362d46550474.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3b485b62d004d52fb31d6ed99ccb7669.png)
您最近一年使用:0次
4 . 已知原命题是“若
,则曲线
是椭圆”.
(1)试写出原命题的逆命题、否命题、逆否命题,并判断所写命题的真假;
(2)若曲线
是焦点在
轴上的双曲线,求
的取值范围.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d364ffe09abd0f6022147d130c82dccb.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/71e32500972421f941c78967a4948921.png)
(1)试写出原命题的逆命题、否命题、逆否命题,并判断所写命题的真假;
(2)若曲线
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/71e32500972421f941c78967a4948921.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/81dea63b8ce3e51adf66cf7b9982a248.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/294f5ba74cdf695fc9a8a8e52f421328.png)
您最近一年使用:0次
5 . 已知
,
是椭圆
的两个焦点,过
作直线
交
于
,
两点,若
,则
的面积为( )
![](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/f84abb97bf91e72c6130c46d9a53b962.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f5076289823db419f94e9c0c8f4aafd9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0f85fca60a11e1af2bf50138d0e3fe62.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/895dc3dc3a6606ff487a4c4863e18509.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/6593380cf94529c14b8ce242924cb460.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8376a8a3dd42eaa0558501a3e2a2bdb4.png)
A.![]() | B.![]() | C.![]() | D.![]() |
您最近一年使用:0次
名校
6 . 如图
是椭圆
的左、右焦点,
是椭圆上两点,满足
,若
,则直线
的斜率为( )
![](https://img.xkw.com/dksih/QBM/2021/1/31/2648077996539904/2650352524673024/STEM/4c7f2f77-9137-41cb-a489-f659ddba913f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/643ef7d761de0e794fc39937dc72ac6a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7dd54b9df3402ad91e2d34c40efe0c7a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f6bce3d91ca23b86d8c6625f2632e437.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a8242a481ac3496ad559f6f3d1beba4b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/642b8d80093378b2ef57036c3ce5562c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9ac86e1c253297a377e14fb9a1689be8.png)
![](https://img.xkw.com/dksih/QBM/2021/1/31/2648077996539904/2650352524673024/STEM/4c7f2f77-9137-41cb-a489-f659ddba913f.png)
A.-1 | B.![]() | C.![]() | D.![]() |
您最近一年使用:0次
2021-02-03更新
|
375次组卷
|
2卷引用:浙江省舟山市2020-2021学年高二上学期期末数学试题
解题方法
7 . 在平面直角坐标系
中,已知椭圆
的离心率是
,且点
在椭圆C上.
![](https://img.xkw.com/dksih/QBM/2021/2/1/2648880330776576/2650069941518336/STEM/e90f2120368e41c4a8719923170dccda.png?resizew=391)
(Ⅰ)求椭圆C的方程;
(Ⅱ)将椭圆C上每点横坐标和纵坐标都扩大到原来的两倍,得到椭圆M的方程.直线
与椭圆M交于A,B两点,与椭圆C的一个公共点为点P,连接
,并延长
至交椭圆M于点N.设
的面积为
,
的面积为
.
(ⅰ)求
的值;
(ⅱ)求
的最大值.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7ee31829d0d4d5f779a957d7df8058ab.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ad523e69a1bf925e73a22900b9855df2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/860884c0017c8bceb5b0edff796c144f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3ef233ad3db01fa3ce9ee94eaad8e64e.png)
![](https://img.xkw.com/dksih/QBM/2021/2/1/2648880330776576/2650069941518336/STEM/e90f2120368e41c4a8719923170dccda.png?resizew=391)
(Ⅰ)求椭圆C的方程;
(Ⅱ)将椭圆C上每点横坐标和纵坐标都扩大到原来的两倍,得到椭圆M的方程.直线
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/bc3293a7ffa4cf4ea6662a56293b853e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ef49a3ca580a144cc65a609c167facc1.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ef49a3ca580a144cc65a609c167facc1.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/307d80faaf253cedb782efd4c14072c0.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e097c8d4c948de063796bd19f85b3a9a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3fe95f656b98b53f71a9d72bf0c9a4b9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1e0bd63f55069a3bc870915010b39225.png)
(ⅰ)求
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/235f0a6fb218d28383e6f27f2df1f50f.png)
(ⅱ)求
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e097c8d4c948de063796bd19f85b3a9a.png)
您最近一年使用:0次
解题方法
8 . 如图,已知曲线
,曲线
的左右焦点是
,且
也是
的焦点,点P是
与
的在第一象限内的公共点且
,过
的直线l分别与曲线
、
交于点A,B和M,N.
![](https://img.xkw.com/dksih/QBM/2021/2/1/2648790370820096/2650026750115840/STEM/3484f0fb-f0ec-4e2b-8754-60e6866a997d.png)
(1)求点P的坐标以及
的方程;
(2)若
与
面积分别是
、
,求
的取值范围.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ac8a3bffe545af2299cf999d44767206.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3a2cfc8743c915f45bdccca70ab16648.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4d2a97987f71835f519b462f5b8f5957.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a3fb78c5f885034612c0e030b920143d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b1241216f3c1cb5e73043dd1037f556d.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/996366eec411fe56ed031a516d90f167.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a3fb78c5f885034612c0e030b920143d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b1241216f3c1cb5e73043dd1037f556d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/23f3ffe7abc59e2f65d827c8eab8d36a.png)
![](https://img.xkw.com/dksih/QBM/2021/2/1/2648790370820096/2650026750115840/STEM/3484f0fb-f0ec-4e2b-8754-60e6866a997d.png)
(1)求点P的坐标以及
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/23f3ffe7abc59e2f65d827c8eab8d36a.png)
(2)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/47ff8a5886e42095da57422c8777c10d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/76ea1c3fe8431260ecb8dffcdae8d570.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e097c8d4c948de063796bd19f85b3a9a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1e0bd63f55069a3bc870915010b39225.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3ad5a9147b25285124851a61c7d1a24a.png)
您最近一年使用:0次
名校
9 . 已知
为实数,则“
”是“方程
表示的曲线为椭圆”的
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0a6936d370d6a238a608ca56f87198de.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1d33da711e50e96568facb18cef27165.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f994c517aa21dc715afe48f07fd6bf61.png)
A.充分不必要条件 | B.必要不充分条件 |
C.充要条件 | D.既不充分也不必要条件 |
您最近一年使用:0次
2021-01-31更新
|
673次组卷
|
8卷引用:浙江省温州市十校联合体2020-2021学年高二上学期期末联考数学试题
名校
10 . 如图,在棱长为1的正方体
中,点M是底面正方形
的中心,点P是底面
所在平面内的一个动点,且满足
,则动点P的轨迹为( )
![](https://img.xkw.com/dksih/QBM/editorImg/2022/11/29/3f7303b1-8451-446c-b1b9-27ff07641d96.png?resizew=180)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6e09725691ee7851f54c0dee86b2bf55.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/411b38a18046fea8e9fab1f9f9b80a5f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/411b38a18046fea8e9fab1f9f9b80a5f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2877e19f77b5ade8bf1e80713c9ee34b.png)
![](https://img.xkw.com/dksih/QBM/editorImg/2022/11/29/3f7303b1-8451-446c-b1b9-27ff07641d96.png?resizew=180)
A.圆 | B.抛物线 | C.双曲线 | D.椭圆 |
您最近一年使用:0次
2021-01-31更新
|
834次组卷
|
6卷引用:浙江省宁波市九校2020-2021学年高二上学期期末联考数学试题
浙江省宁波市九校2020-2021学年高二上学期期末联考数学试题浙江省湖州市德清县第三中学2020-2021学年高二下学期返校考试数学试题(已下线)【新东方】高中数学20210304-023(已下线)【新东方】绍兴高中数学00027(已下线)专题06 椭圆性质综合归类-【巅峰课堂】2023-2024学年高二数学上学期期中期末复习讲练测(人教A版2019选择性必修第一册)(已下线)专题7-2求曲线方程和动点轨迹归类-2