1 . 已知圆
,点
.
(1)求圆C的圆心坐标及半径;
(2)求过P点的圆C的切线方程.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2df6b97f5eab4461e55a4ab9d04fdc87.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/33cc0f9aa168e43cc5759f017d69b498.png)
(1)求圆C的圆心坐标及半径;
(2)求过P点的圆C的切线方程.
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2 . “太极图”因其形状如对称的阴阳两鱼互抱在一起,故也被称为“阴阳鱼太极图”.如图是放在平面直角坐标系中的“太极图”图中曲线为圆或半圆,已知点
是阴影部分(包括边界)的动点,则
的最小值为________ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/44ee82573986d4fa6a7ee1b5f397edae.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/02fe1b6f20cd9115202e23090f1ea9da.png)
![](https://img.xkw.com/dksih/QBM/editorImg/2024/1/18/440b2cbd-80cb-4c8f-85ad-5280cf2d84ec.png?resizew=168)
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解题方法
3 . 已知圆
:
.若直线
:
与圆
相交于A,B两点,且
.
(1)求圆
的方程;
(2)请从条件①、条件②这两个条件中选择一个作为点
的坐标,求过点
与圆
相切的直线
的方程.
①
;②
.
注:如果选择条件①和条件②分别解答,按第一个解答计分.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c5db41a1f31d6baee7c69990811edb9f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1410414ebd007a6aebfb75240e2b458f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2e9b0f5f44abbc6544a2f672b025b013.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e23fc11a3a7592c68b20f93bdde2ed3f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c5db41a1f31d6baee7c69990811edb9f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/699fc9b7e879af4866aaa07848dfb423.png)
(1)求圆
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c5db41a1f31d6baee7c69990811edb9f.png)
(2)请从条件①、条件②这两个条件中选择一个作为点
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dad2a36927223bd70f426ba06aea4b45.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/3f6f17bc385bafb37e8f964e5eb99cd0.png)
①
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/83eacd38727f29b2c2c68ee309080fee.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/aedad6bb70631b944c69f8f0b02b35d6.png)
注:如果选择条件①和条件②分别解答,按第一个解答计分.
您最近一年使用:0次
名校
解题方法
4 . 已知圆C:![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1f308668d4851884b03c3475dff4ef65.png)
(1)求圆的圆心和半径;
(2)求经过点
的圆C的切线方程;
(3)求直线l:
被圆C截得的弦长.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1f308668d4851884b03c3475dff4ef65.png)
(1)求圆的圆心和半径;
(2)求经过点
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/685e73f420b856ebf5eb4eda574a4fe5.png)
(3)求直线l:
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4f9282813a58d9d14a5fe20846260003.png)
您最近一年使用:0次
2023-11-13更新
|
485次组卷
|
2卷引用:北京市顺义区第二中学2023-2024学年高二上学期期中考试数学试题
名校
5 . 已知圆
经过坐标原点
和点
,且圆心在
轴上.
(1)求圆
的标准方程;
(2)设直线
经过点
,且
与圆
相交所得弦长为
,求直线
的一般式方程;
(3)求过点
与圆
相切的直线方程.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c5db41a1f31d6baee7c69990811edb9f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1dde8112e8eb968fd042418dd632759e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b86022205a7487439dd8d0897cd3bf19.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/81dea63b8ce3e51adf66cf7b9982a248.png)
(1)求圆
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c5db41a1f31d6baee7c69990811edb9f.png)
(2)设直线
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0f85fca60a11e1af2bf50138d0e3fe62.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5265d99095b635f62c7915298ec0e963.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0f85fca60a11e1af2bf50138d0e3fe62.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c5db41a1f31d6baee7c69990811edb9f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/38387ba1cadfd3dfc4dea4ca9f613cea.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0f85fca60a11e1af2bf50138d0e3fe62.png)
(3)求过点
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d00d5d8cc31aaca7fc2eafb99eac7629.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c5db41a1f31d6baee7c69990811edb9f.png)
您最近一年使用:0次
名校
解题方法
6 . 已知圆
的方程为
,直线
过点
.
(1)求过点P且与圆
相切的直线
的方程;
(2)从下列两个条件中任选一个补充在问题中并作答:
若圆
与直线
交于
,
两点,______,求直线
的方程;
条件①:
;条件②:
是等腰直角三角形.
(3)若圆
与直线
交于
,
两点,求
面积的最大值.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c5db41a1f31d6baee7c69990811edb9f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f240cccaf24af8a796abb95cb42be52e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0f85fca60a11e1af2bf50138d0e3fe62.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/530e5817131adf2c05b99ff18eb9060f.png)
(1)求过点P且与圆
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c5db41a1f31d6baee7c69990811edb9f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0f85fca60a11e1af2bf50138d0e3fe62.png)
(2)从下列两个条件中任选一个补充在问题中并作答:
若圆
![](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/5963abe8f421bd99a2aaa94831a951e9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7f9e8449aad35c5d840a3395ea86df6d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0f85fca60a11e1af2bf50138d0e3fe62.png)
条件①:
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4cc0f254c3efd3116c884ce363144d85.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/90b40c2b0ab8e1cfe5112d428b4b829f.png)
(3)若圆
![](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/5963abe8f421bd99a2aaa94831a951e9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7f9e8449aad35c5d840a3395ea86df6d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/90b40c2b0ab8e1cfe5112d428b4b829f.png)
您最近一年使用:0次
名校
7 . 已知直线
恒过点
,圆
,则“直线
的斜率为
”是“直线
与圆
相切”的( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0f85fca60a11e1af2bf50138d0e3fe62.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3c76c41773aae617db1c0cc04bcf836f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c5f8c78f44f5a2c415ad530c1c086724.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0f85fca60a11e1af2bf50138d0e3fe62.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/39f00206af8af78b50ccd21e381b0fa2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0f85fca60a11e1af2bf50138d0e3fe62.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c5db41a1f31d6baee7c69990811edb9f.png)
A.充分不必要条件 | B.必要不充分条件 |
C.充分必要条件 | D.既不充分也不必要条件 |
您最近一年使用:0次
8 . 已知圆
:
.
(1)求圆
的圆心坐标以及半径;
(2)求经过点
的圆
的切线方程;
(3)若圆
与圆
:![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1464c0b59806174ebb86a1338cd15f57.png)
有公共点,求实数
的取值范围.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4b104090ea2ac34be58a76a4e0e95cb3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ef92520d010a4b8ca5fe9c6be16cadf9.png)
(1)求圆
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4b104090ea2ac34be58a76a4e0e95cb3.png)
(2)求经过点
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2a9e4d799732a551ce63764c6a481f65.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4b104090ea2ac34be58a76a4e0e95cb3.png)
(3)若圆
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4b104090ea2ac34be58a76a4e0e95cb3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7df1d9b712b639c8b6809c9f3ae03706.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1464c0b59806174ebb86a1338cd15f57.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2bcaceadc00d891e292c8bdff9e4ce64.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/294f5ba74cdf695fc9a8a8e52f421328.png)
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解题方法
9 . 已知圆
:![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ffd767240a603ca0c0db5567707eb704.png)
(1)求过点
与圆相切的直线方程
(2)若直线
与圆
交于
两点,求弦
的长
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ac047e91852b91af639feec23a9598b2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ffd767240a603ca0c0db5567707eb704.png)
(1)求过点
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/18c777c09623824075b49fd91f8a5b7b.png)
(2)若直线
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/97c6d3c99b7004603ba9ea9c341b8b3f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ac047e91852b91af639feec23a9598b2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7ae1567d8f98fabc1a3948f8602cc5e7.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f52a58fbaf4fea03567e88a9f0f6e37e.png)
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10 . 已知圆E经过点
,
,从下列3个条件选取一个:
①过点
;
②圆E恒被直线
平分;
③与y轴相切.
(1)求圆E的方程;
(2)过点
的直线l与圆E相切,求直线l方程.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6cb9e88d3e58141dba299dcd8edc4e18.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/18d3bfa155ad67018da4d65815c5e5b8.png)
①过点
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/84a56e5ddc6dc057aa4076130cc6ce19.png)
②圆E恒被直线
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4ef91cf5901f2f21d159233b6d1425c9.png)
③与y轴相切.
(1)求圆E的方程;
(2)过点
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9c7f6a03826a5ad351c1f7ca553a6945.png)
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2023-08-08更新
|
549次组卷
|
3卷引用:北京交通大学附属中学2022-2023学年高二上学期期中考试数学试题