名校
解题方法
1 . 已知圆
:
,点
,
是圆
上任意一点,线段
的垂直平分线和半径
相交于![](https://staticzujuan.xkw.com/quesimg/Upload/formula/73465a1f9aa03481295bf6bd3c6903ac.png)
(1)求动点
的轨迹
的方程;
(2)经过点
和
的圆与直线
:
交于
,
,已知点
,且
、
分别与
交于
、
.试探究直线
是否经过定点.如果有,请求出定点;如果没有,请说明理由.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2a30f3a8b673cc28bd90c50cf1a35281.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6afc954e87bd737ec051d5c94837c8a7.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/092fd1b1d33979818300cd2e3699bff7.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/895dc3dc3a6606ff487a4c4863e18509.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2a30f3a8b673cc28bd90c50cf1a35281.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e0e57a13c665af88f326c9890072bf73.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/91f3956f008cc29ca4bae44a087d5427.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/73465a1f9aa03481295bf6bd3c6903ac.png)
(1)求动点
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/73465a1f9aa03481295bf6bd3c6903ac.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4bcd8ee2d8367c167d6ae0abc741b6b8.png)
(2)经过点
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a0ed1ec316bc54c37c4286c208f55667.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2643a9a132a2b30516e92d4bca331973.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0f85fca60a11e1af2bf50138d0e3fe62.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f23d29646155e27b172ecdf263e2d702.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/448c0a5ee776d19ce8e42ac9a5fd27c4.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/20a541b81584a032f571159ea152c85a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/84d454c82d9e52747563d47b68099249.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4bcd8ee2d8367c167d6ae0abc741b6b8.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/411461db15ee8086332c531e086c40c7.png)
您最近一年使用:0次
解题方法
2 . 已知抛物线
上任意一点
到直线
的距离比到焦点的距离大1.
(1)求C的标准方程;
(2)若倾斜角为30°的直线l经过C的焦点并与C相交于A,B两点,求以AB为直径的圆的标准方程.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/37ab7408ffcefcb8e5e1ad4a9c58f1b1.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7775aa57ca0e62216f3039ed88dceed0.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/639c3d2ff5ee566fcc1b69c65712a661.png)
(1)求C的标准方程;
(2)若倾斜角为30°的直线l经过C的焦点并与C相交于A,B两点,求以AB为直径的圆的标准方程.
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解题方法
3 . 已知圆A的圆心为
,且__________.在下列所给的三个条件中任选一个,填在横线上,并完成解答(注:若选择多个条件分别解答,按第一个解答计分).①与直线
相切;②与圆
相外切;③经过直线
与直线
的交点.
(1)求圆A的方程;
(2)设直线
,试求k为何值时,直线l截圆A所得弦的弦长最小,并求弦长最小值.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b1294434b22cb5133043a2270ae1c43f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8ccee5256f0982557f0a1a6b3c3a8329.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b9fe93da23f1794b6b9494b88e184a06.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f0947dc8f5ba116aaf3239d66adc7474.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/091c83390d0755e1b72755cf37490351.png)
(1)求圆A的方程;
(2)设直线
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e7fff663eb6c465120e76f6f04975bf7.png)
您最近一年使用:0次
4 . 请写出一个与x轴和直线
都相切的圆的方程______ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/45cc81cfaccc00aa4b7139de5a35a102.png)
您最近一年使用:0次
5 . 已知圆心为
的圆经过点
和
,且圆心在直线
上,求:
(1)求圆心为
的圆的标准方程;
(2)设点
在圆
上,点
在直线
上,求
的最小值;
(3)若过点
的直线被圆
所截得弦长为
,求该直线的方程.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c5db41a1f31d6baee7c69990811edb9f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/405c1cf20f829db064c795171af51f8e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/292dd14f24b8392e499c328c1ca82f9b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7aefcbc03a5c916ebb20f891a0fe7e0d.png)
(1)求圆心为
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c5db41a1f31d6baee7c69990811edb9f.png)
(2)设点
![](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/acc290b44635265137fdf13146b6a6d9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a1fd72f36c81a55cafa92739ee87f743.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d44e8bc37ed03f44470762748a8f942a.png)
(3)若过点
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ccff872751ed202fdf39cbaa440ed181.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c5db41a1f31d6baee7c69990811edb9f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/cd3304e23f3b0f9569c4140ca89b6498.png)
您最近一年使用:0次
2022-11-06更新
|
1293次组卷
|
8卷引用:模块三 专题5 大题分类练(解析几何)基础夯实练
名校
6 . 设
,圆
:
(
)与y轴正半轴的交点为
,与曲线
的交点为
(
,
),直线
与x轴的交点为A(
,0),若数列
的通项公式为
,要使数列
成等比数列,则常数![](https://staticzujuan.xkw.com/quesimg/Upload/formula/df5be1440d099f464ef46dee39de6010.png)
__________ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e97769855336d73371930df1f187875e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/fcc31dcdb99754fc452ff2b92a2fb8c9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b61c3568303a6b517a1b9ff47f154389.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0e60016c6a4311390d07afa8bf4b3963.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/bf83e20035c3afd6d26ebfd53d768a70.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/aef469c7b7cb9945b984222381b9c000.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/15520cf5be7c2685975aac51bc99ac4f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3282e5fde4ae53fcb1bb072a685304c9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a79b9eaa5e7ab7a1e5c512b571914dc8.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/839594b48d5ff3bf74ed9d5a2792b13a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/96abfe2da27a63e6affb19a0c80236d9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e976c0663fa749ca749f99842d21ca03.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4f4e670976fdc99871e65c9396f5176d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/05c4945d58721e7375d1357873cbb5c5.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/df5be1440d099f464ef46dee39de6010.png)
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2022-05-05更新
|
1590次组卷
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4卷引用:专题05 等比数列与数列综合求和-2023-2024学年高二数学期末复习重难培优与单元检测(人教A版2019)
(已下线)专题05 等比数列与数列综合求和-2023-2024学年高二数学期末复习重难培优与单元检测(人教A版2019)湖南省长沙市长郡中学2022届高三下学期一模数学试题(已下线)专题4 分类讨论思想重庆市第八中学校2022届高三下学期调研检测(十四)数学试题
名校
7 . 已知圆
与圆
外切,则实数a的值为___________ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4d7f99d7e72288411f867f8107e3895f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a353d1a988596880c0a48c2303d20c2c.png)
您最近一年使用:0次
2021-11-12更新
|
844次组卷
|
7卷引用:模块五 期末重组篇 专题6
(已下线)模块五 期末重组篇 专题6江苏省南京市第十三中学2022-2023学年高三上学期期末数学试题湖南省长沙市雅礼中学2021-2022学年高三上学期月考(五)数学试题(已下线)专题07 解析几何(突破训练)-备战2022年高考数学二轮复习重难考点专项突破训练(全国通用)天津市西青区杨柳青第一中学2022届高三下学期第二次适应性测试数学试题河北省高碑店市崇德实验中学2023-2024学年高二上学期期中数学试题福建省南平市高级中学2021-2022学年高二上学期期中考试数学试题