名校
解题方法
1 . 已知圆
,点
在抛物线
上运动,过点
引圆
的切线,切点分别为
,
,则
的取值范围为______ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6772ef39212697b15057fd96d742886d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dad2a36927223bd70f426ba06aea4b45.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/bcb2c5e3b4d493fcf1bbe773ee4b5135.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/3f4dfec890cdfdda355e19463f3be813.png)
您最近一年使用:0次
2024-03-03更新
|
709次组卷
|
2卷引用:上海市金山中学2023-2024学年高二下学期3月月考数学试卷
名校
解题方法
2 . 已知,其中
.
(1)若曲线
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/942c2141d01bde6b48210c56a17fc75e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7ea9824af71c9da5db5a00ec06063024.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9315b85140f138a28c6c9636a48bc441.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0a6936d370d6a238a608ca56f87198de.png)
(2)设
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6ebe3549a587b8fbd4a7b421898fd59c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1938c093dd2fbcb752d0eb7a18d143b2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/11abb76da45ffa52b47c3a6b9a03ac7e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/63d0532bf8ea573af0bc5bbda9e52154.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0a6936d370d6a238a608ca56f87198de.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/79b752f0f189e5d8666daea73e145dff.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/63d0532bf8ea573af0bc5bbda9e52154.png)
(3)当
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6b108ab31cc093f03cf48ad65429889e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/af49788bd794e972e585c65d8bf33763.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/02362f881df010d2f1f7ae0aa98a85f8.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9b0a7976b76536f5e5464301d23763d3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/cdc32c7b47e7b2294ae94fdd1b9285dd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3b22780fe81460d8dd8c6708744ccc21.png)
您最近一年使用:0次
2023-11-12更新
|
643次组卷
|
4卷引用:上海市金山中学2023-2024学年高二下学期3月月考数学试卷
名校
解题方法
3 . 已知椭圆
的左、右焦点分别为
,直线
与椭圆C交于M、N两点,(点M在点N的上方),与y轴交于点E.
(1)当
时,点A为椭圆C上除顶点外任一点,求
的周长;
(2)当
且直线l过点
时,设
,求证:
为定值,并求出该值;
(3)若椭圆C离心率为
,当k为何值时,
恒为定值,并求此时三角形
面积的最大值.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a2044d16da05ba46b7779d61430166f7.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5c38928a92bc4b44ed3c9b89769f5372.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/327a8132cb929667c033a3c20bd9c67c.png)
(1)当
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8cbeede118c407a800b05757b9a1393e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b2cfd997d3b66a3b8f7731b26f0ab0c8.png)
(2)当
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f66884efff7400f92b530d69d029778d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b7ff329f3b12cf5678e99941e7188621.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8ab89cab60237f7a82451b388b71237c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/febf7413b35cf2889fdb57a6b519087c.png)
(3)若椭圆C离心率为
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/860884c0017c8bceb5b0edff796c144f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c4de13a47637548ce5594ed8d64dec0c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d1eb76f88cb973c220cffa1c9c0721a6.png)
您最近一年使用:0次
2023-06-14更新
|
1093次组卷
|
10卷引用:上海市金山中学2023-2024学年高二下学期3月月考数学试卷
上海市金山中学2023-2024学年高二下学期3月月考数学试卷上海市徐汇区2023届高三二模数学试题(已下线)模块八 专题9 以解析几何为背景的压轴解答题(已下线)专题08 平面解析几何-学易金卷上海市建平中学2022-2023学年高二下学期5月月考数学试题(已下线)重难点03圆锥曲线综合七种问题解题方法-【满分全攻略】2022-2023学年高二数学下学期核心考点+重难点讲练与测试(沪教版2020选修一+选修二)(已下线)第2章 圆锥曲线 单元综合检测(重点)-2023-2024学年高二数学同步精品课堂(沪教版2020选择性必修第一册)(已下线)信息必刷卷04(上海专用)(已下线)数学(上海卷02)(已下线)上海市高二数学下学期期末模拟试卷03--高二期末考点大串讲(沪教版2020选修)
名校
解题方法
4 . 已知椭圆
的左、右焦点分别为
、
,设P是第一象限内椭圆Γ上一点,
、
的延长线分别交椭圆Γ于点
、
,直线
与
交于点R.
![](https://img.xkw.com/dksih/QBM/editorImg/2022/11/10/07acc994-17e5-40c6-a2ae-e24ec879f94f.png?resizew=169)
(1)求
的周长;
(2)当
垂直于x轴时,求直线
的方程;
(3)记
与
的面积分别为
、
,求
的最大值.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0ae6de03e2b3bef75237eb998d6e11d3.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/9ac86e1c253297a377e14fb9a1689be8.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0739793f234f8e86adc6177801ae7295.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a86380a6d6501f6504dcb4aa5e3099f2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/eae863e7a1f1fed09f1075de4a817c63.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/02adfa16c275344856401c6f63f3c6ab.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/61228c72df45a3809cb6729f8227721b.png)
![](https://img.xkw.com/dksih/QBM/editorImg/2022/11/10/07acc994-17e5-40c6-a2ae-e24ec879f94f.png?resizew=169)
(1)求
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/390377acc372fa154c8df9db15a798d4.png)
(2)当
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0739793f234f8e86adc6177801ae7295.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/69c81d490c018a166d9970b1b5ea0a63.png)
(3)记
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e096219bb5d9b6d3e4b1fdba38663e92.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4a5eb23fd2d90a2ea0c53c61b4a2c758.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/16ae89bd2dd0a18e1afb5b1a1abd0efd.png)
您最近一年使用:0次
2022-11-06更新
|
778次组卷
|
7卷引用:上海市金山区2022届高三下学期二模数学试题
上海市金山区2022届高三下学期二模数学试题(已下线)第13讲 椭圆 - 1(已下线)专题30 圆锥曲线三角形面积与四边形面积题型全归类-2(已下线)专题12平面解析几何必考题型分类训练-4上海市大同中学2022-2023学年高二下学期期中数学试题(已下线)专题08 椭圆(三大核心考点七种题型)-【寒假自学课】2024年高二数学寒假提升学与练(沪教版2020)(已下线)专题11圆锥曲线单元复习与测试(21个考点25种题型)-【寒假自学课】2024年高二数学寒假提升学与练(沪教版2020)
名校
5 . 已知椭圆
的两焦点分别为
,
,
是椭圆在第一象限内的一点,并满足
,过
作倾斜角互补的两直线
、
分别交椭圆于
、
两点.
(1)求
点坐标;
(2)当直线
经过点
时,求直线
的方程;
(3)求证直线
的斜率为定值.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d80b861ba40387cb2bcd04945f5a371a.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)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/03752bb01ac43b8f3b7d3e240da1fbe5.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dad2a36927223bd70f426ba06aea4b45.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/bd33764ff4efddfe11a98a609753715c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d2be49c37e30a3ced0364c3e74d8c687.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5963abe8f421bd99a2aaa94831a951e9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7f9e8449aad35c5d840a3395ea86df6d.png)
(1)求
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dad2a36927223bd70f426ba06aea4b45.png)
(2)当直线
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/bd33764ff4efddfe11a98a609753715c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/da61a8fc8f424929e9bf36622f1ca74f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f52a58fbaf4fea03567e88a9f0f6e37e.png)
(3)求证直线
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f52a58fbaf4fea03567e88a9f0f6e37e.png)
您最近一年使用:0次
2020-01-09更新
|
645次组卷
|
2卷引用:上海市金山中学2015-2016学年高二下学期期末数学试题
名校
6 . 在平面直角坐标系
中,已知
为三个不同的定点,且A,B,C不共线,.以原点
为圆心的圆与线段
都相切.
(Ⅰ)求圆
的方程及
的值;
(Ⅱ)若直线
与圆
相交于
两点,且
,求
的值;
(Ⅲ)在直线
上是否存在异于
的定点
,使得对圆
上任意一点
,都有
为常数
?若存在,求出点
的坐标及
的值;若不存在,请说明理由.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7ee31829d0d4d5f779a957d7df8058ab.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e0359a0c624bbc1b0f97fc268252c0b4.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1dde8112e8eb968fd042418dd632759e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/942e6dafcfcbf0682856b9f25178694d.png)
(Ⅰ)求圆
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1dde8112e8eb968fd042418dd632759e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/280860dd039e1305a5ccc455f63e8223.png)
(Ⅱ)若直线
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6149c41ba79bcc7f35418dacbd4b21de.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1dde8112e8eb968fd042418dd632759e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7789a500686c7a73770404ead6af0590.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f27711fd7536507fd7bee0f5fdea1c10.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/36a1b09c653185842513e24ebba60bb3.png)
(Ⅲ)在直线
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e2c3d2cba96f6f03520c0b3f6e4da03e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5963abe8f421bd99a2aaa94831a951e9.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/dad2a36927223bd70f426ba06aea4b45.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/87549bc0f80f90aa634baa24d56473fa.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/04582116cd765fcc5a52f44279ad6c94.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/acc290b44635265137fdf13146b6a6d9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/df64046e91b047037f19e4032e3b6de3.png)
您最近一年使用:0次
2019-07-08更新
|
3356次组卷
|
11卷引用:上海市金山中学2021届高三上学期期中数学试题
上海市金山中学2021届高三上学期期中数学试题北京市朝阳区2018-2019学年高一下学期期末数学试题上海交通大学附属中学2019-2020学年高二上学期期中数学试题江苏省盐城市响水中学2019-2020学年高一下学期学情分析考试(二)数学试题安徽省卓越县中联盟2020-2021学年高二上学期期中联考数学(理)试题黑龙江省哈尔滨市第三中学2021-2022学年高二上学期10月月考数学(普通班)试题(已下线)2.4 圆的方程-2021-2022学年高二数学尖子生同步培优题典(人教A版2019选择性必修第一册)广东省佛山市南海区南海执信中学2021-2022学年高二上学期第二次段测数学试题吉林省长春市东北师范大学附属中学2021-2022学年高二上学期10月阶段考试数学(理)试题第二章 直线与圆的方程单元测试(巅峰版)-【新教材优创】突破满分数学之2022-2023学年高二数学重难点突破+课时训练 (人教A版2019选择性必修第一册)山东省德州市夏津县第一中学2023-2024学年高二上学期10月月考数学试题