1 . 已知圆
:
.
(1)过点
的直线
与圆
相切,求直线
的方程;
(2)过圆
上一点
作两条相异直线分别与圆
相交于
,
两点,且直线
和直线
的倾斜角互补.求证:直线
的斜率为定值.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c5db41a1f31d6baee7c69990811edb9f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3864364d232bfd1af09e354585ed3a38.png)
(1)过点
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/12bda1c577ff8f005bd78247ae955ec9.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/0f85fca60a11e1af2bf50138d0e3fe62.png)
(2)过圆
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c5db41a1f31d6baee7c69990811edb9f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4ef70974f88652aaa60794f90a037363.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/bd33764ff4efddfe11a98a609753715c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d2be49c37e30a3ced0364c3e74d8c687.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f52a58fbaf4fea03567e88a9f0f6e37e.png)
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2 . ①圆心
在直线
上,且
是圆上的点;
②圆心
在直线
上,但不经过点
,并且直线
与圆
相交所得的弦长为4;
③圆
过直线
和圆
的交点,
在以上三个条件中任选一个,补充在下面问题中,
问题:平面直角坐标系
中,圆
过点
,且______
(1)求圆
的标准方程;
(2)求过点
的圆
的切线方程.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c5db41a1f31d6baee7c69990811edb9f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7c5a43a9d4e949953d15c1e199c0cfef.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/29c7400a44dfba699131c0f0a865e02c.png)
②圆心
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c5db41a1f31d6baee7c69990811edb9f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e3f52cb58b6bc5d71030463ba7e28134.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/081cd41dab0f2a8f84b0e9f1df4843fb.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7abeb57d8e728c8d9bd15e8902b70a80.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c5db41a1f31d6baee7c69990811edb9f.png)
③圆
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c5db41a1f31d6baee7c69990811edb9f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/55369fec27edda3c2880820d1c7df21a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7d251c1625147387f8603fc68c6887b5.png)
在以上三个条件中任选一个,补充在下面问题中,
问题:平面直角坐标系
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7ee31829d0d4d5f779a957d7df8058ab.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c5db41a1f31d6baee7c69990811edb9f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/109a293cef44f23e86e22c1a4cfcbbe5.png)
(1)求圆
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c5db41a1f31d6baee7c69990811edb9f.png)
(2)求过点
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5963abe8f421bd99a2aaa94831a951e9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c5db41a1f31d6baee7c69990811edb9f.png)
您最近一年使用:0次
2020-11-28更新
|
840次组卷
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5卷引用:辽宁省六校协作体2020-2021学年高二上学期期中联考数学试题
名校
3 . 已知过点
有且仅有一条直线与圆
相切,则
( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1f13bf66fc845b115de4ec45b4be0e23.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c36160190019d9e3daf346d5196fe742.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/380bbacf854e30e2e747fc286d2b9997.png)
A.-1 | B.-2 | C.1或2 | D.-1或-2 |
您最近一年使用:0次
2020-11-27更新
|
770次组卷
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6卷引用:江苏省南京市田家炳高级中学2020-2021学年高二上学期10月检测数学试题
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4 . 圆
与直线
相切于点
,则圆的半径为_________ ,直线
的方程为_________ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/39497f7afc2ee5bcb448f8b5d9688ea4.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0f85fca60a11e1af2bf50138d0e3fe62.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d96ef7e9efc2681546f2320b108a1987.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0f85fca60a11e1af2bf50138d0e3fe62.png)
您最近一年使用:0次
5 . 已知直线
为圆
在点
处的切线,点
是直线
上一动点,点
是圆
上一动点,则
的最小值是____ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0f85fca60a11e1af2bf50138d0e3fe62.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a5f5d967ad135991b6075ee45df55643.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1bc709512ea41db03985e5546d0bd86c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dad2a36927223bd70f426ba06aea4b45.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0f85fca60a11e1af2bf50138d0e3fe62.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/acc290b44635265137fdf13146b6a6d9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3d30337ed2f68b73a050688566eac4e4.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d44e8bc37ed03f44470762748a8f942a.png)
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2020-11-18更新
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268次组卷
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2卷引用:浙江省浙北G2(嘉兴一中、湖州中学)2020-2021学年高二上学期期中联考数学试题
名校
6 . 过点
与圆
相切的直线方程是( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b20af7617b581d6b67d3d51709365681.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a5f5d967ad135991b6075ee45df55643.png)
A.![]() | B.![]() |
C.![]() | D.![]() |
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2020-11-10更新
|
1021次组卷
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5卷引用:湖南省、河北省新高考联考2020-2021学年高三上学期10月质量检测数学试题
湖南省、河北省新高考联考2020-2021学年高三上学期10月质量检测数学试题湖北省鄂州高中2020-2021学年高三上学期10月质量检测数学试题(已下线)专题9.8 《平面解析几何》单元测试卷(测)-2021年新高考数学一轮复习讲练测(已下线)专题9.8 《平面解析几何》单元测试卷-2021年新高考数学一轮复习学与练江西省贵溪市实验中学2020-2021学年高二12月月考理科数学试题
20-21高二上·江西南昌·阶段练习
解题方法
7 . 已知圆
:
.
(1)写出圆心坐标、圆的半径;
(2)求出经过点
的切线方程.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c5db41a1f31d6baee7c69990811edb9f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f4e770db94d173ad1897ad095fdf26cd.png)
(1)写出圆心坐标、圆的半径;
(2)求出经过点
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ddbf29b3d1d225512f25fb4af2f4c103.png)
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8 . 已知点
(
)在圆C:
上.
(1)求P点的坐标;
(2)求过P点的圆C的切线方程.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/fc9e3b66833589d4acd3e4100d860014.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/94440d3e4c073f94f2b266ff99d50e74.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7753760f111ca693c6167e17ad5893d5.png)
(1)求P点的坐标;
(2)求过P点的圆C的切线方程.
您最近一年使用:0次
名校
9 . 过点
作圆
的切线,则切线方程为( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ad42625f296d2a4b65180e2f7b776beb.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a143573e9fe53e6a861154bf5b4c27c3.png)
A.![]() | B.![]() ![]() |
C.![]() | D.![]() ![]() |
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2020-10-10更新
|
823次组卷
|
2卷引用:江苏省连云港市赣榆一中2019-2020学年高一下学期6月阶段考试数学试题
19-20高二·全国·课后作业
解题方法
10 . 经过点M(2,1)作圆x2+y2=5的切线,则切线的方程为_____ .
您最近一年使用:0次