1 . 已知圆心
在直线
上.
(1)若圆
与
轴相切,且与
轴正半轴相交所得弦长为
,求圆心
的坐标
(2)若圆
与直线
相切,且与圆
相外切,判断是否存在符合题目要求的圆.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c5db41a1f31d6baee7c69990811edb9f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2d585d2d6643471640905d234d9538c5.png)
(1)若圆
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c5db41a1f31d6baee7c69990811edb9f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d053b14c8588eee2acbbe44fc37a6886.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/81dea63b8ce3e51adf66cf7b9982a248.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/38387ba1cadfd3dfc4dea4ca9f613cea.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c5db41a1f31d6baee7c69990811edb9f.png)
(2)若圆
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c5db41a1f31d6baee7c69990811edb9f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/65ccbfa4df4190907430bf37828edf34.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/482ff8024cfe853fa8569b3e8cd6a58b.png)
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解题方法
2 . 在平面直角坐标系中,O为坐标原点,
(
),圆M:
.
(1)若
,过点A作圆M的切线,求此切线的方程;
(2)若在圆M上存在唯一一点P,使
,求t的值.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c704999a090103f18c8e1b46ededca35.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0fff6e7e2b9f2b68b1647f6350b98dc8.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d9df0d79e42d86b0def4caa10dffa75a.png)
(1)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5a2a51944c720568f35d443589dfc1aa.png)
(2)若在圆M上存在唯一一点P,使
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/297af2859ce6975fe9cbff4158300d2d.png)
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解题方法
3 . 已知圆
、
均与
轴相切,且均与过原点
的直线相切于点
,则两圆的半径之和为______ .
![](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/81dea63b8ce3e51adf66cf7b9982a248.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1dde8112e8eb968fd042418dd632759e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a40e964701d40dfc3ab453120818887b.png)
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4 . 在平面直角坐标系
中,已知一动圆
经过
,且与圆
:
相切,则圆心
的轨迹是( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7ee31829d0d4d5f779a957d7df8058ab.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dad2a36927223bd70f426ba06aea4b45.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a0929421a6188c3122442866b0b85a5e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c5db41a1f31d6baee7c69990811edb9f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b02a420d06091c0fb4b43beffe322c16.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dad2a36927223bd70f426ba06aea4b45.png)
A.直线 | B.椭圆 | C.双曲线 | D.拋物线 |
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5 . 平面直角坐标系内,与点
的距离为
且与圆
相切的直线有( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f9c59f0e35b7ae5206e45878934482b8.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/bdaa19de263700a15fcf213d64a8cd57.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8e9ab8e517d2aabf1a664eaf65a4f5e7.png)
A.1条 | B.2条 | C.3条 | D.4条 |
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6 . 已知圆
的圆心为
,过直线
上一点
作圆的切线,且切线段长的最小值为2.
(1)求圆
的标准方程;
(2)若圆
与圆
:
相交于
,
两点,求两圆公共弦
的长.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c5db41a1f31d6baee7c69990811edb9f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1d7a999c36de5c9a9ce876a4a56fa34c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7d4cb0990b93c9900bab2784bef4b10f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dad2a36927223bd70f426ba06aea4b45.png)
(1)求圆
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c5db41a1f31d6baee7c69990811edb9f.png)
(2)若圆
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c5db41a1f31d6baee7c69990811edb9f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/39e210795a966bd5dc1293479ab1988b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2824f7742d8b19c71173704addc50e08.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/f52a58fbaf4fea03567e88a9f0f6e37e.png)
您最近一年使用:0次
2024-02-12更新
|
111次组卷
|
2卷引用:河南省郑州市2023-2024学年高二上学期1月期末考试数学试题
名校
7 . 圆
与圆
的位置关系为( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/560adea7b0d4fbe4131fc41f3fcbd871.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c60676e22f66b94272af15e01e82c3cf.png)
A.外离 | B.相切 | C.相交 | D.内含 |
您最近一年使用:0次
8 . 已知圆
和圆
是圆
上一点,
是圆
上一点,则下列说法正确的是( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/67f96a501c261f723d67d4df10d82602.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7b5429142c872401dff899623ae4904a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ac047e91852b91af639feec23a9598b2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/acc290b44635265137fdf13146b6a6d9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/54a5d7d3b6b63fe5c24c3907b7a8eaa3.png)
A.圆![]() ![]() |
B.两圆的公共弦所在的直线方程为![]() |
C.![]() |
D.若![]() ![]() ![]() ![]() |
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2024-02-12更新
|
133次组卷
|
2卷引用:陕西省西安市莲湖区2023-2024学年高二上学期期末质量监测数学试题
名校
9 . 已知圆
与圆
,则两圆公切线的条数为( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a5f5d967ad135991b6075ee45df55643.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/933190e556729a115e201a622c853ba6.png)
A.1 | B.2 | C.3 | D.4 |
您最近一年使用:0次
2024-02-12更新
|
460次组卷
|
3卷引用:河北省唐山市2023-2024学年高二上学期期末考试数学试题
名校
10 . 已知圆
及圆内一点
,P为圆M上的动点,以P为圆心,PA为半径的圆P.
(1)当
且P在第一象限时,求圆P的方程;
(2)若圆P与圆
恒有公共点,求r的取值范围.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8b3eab13918e2a250c9a9eac092e6092.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6f2b1f4120365cb6ee4925fe417563f9.png)
(1)当
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e13a63015fe678713b94f56d61f9addf.png)
(2)若圆P与圆
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6aabf1608dd9ef8e8f00ffd2ebe4a82b.png)
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