名校
解题方法
1 . 在平面直角坐标系
中,已知圆
的方程为
,
点的坐标为(3,-3).
(1)求过点
且与圆
相切的直线方程.
(2)已知圆
,若圆
与圆
的公共弦长为
,求圆
的方程.
![](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/777f24fed681c4b2b28349fa8325ac99.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ac047e91852b91af639feec23a9598b2.png)
(1)求过点
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ac047e91852b91af639feec23a9598b2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c5db41a1f31d6baee7c69990811edb9f.png)
(2)已知圆
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8befd5deae6f86c59915bd2613a5c6b2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/acc290b44635265137fdf13146b6a6d9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c5db41a1f31d6baee7c69990811edb9f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/01961669cd597f61fa48e9853d678bb8.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/acc290b44635265137fdf13146b6a6d9.png)
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2020-12-11更新
|
3321次组卷
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6卷引用:陕西省榆林市第十二中学2020-2021学年高一下学期第一次月考数学试题
名校
2 . 已知圆
,点
,其中
.
(1)若直线
与圆
相切,求直线
的方程;
(2)若在圆
上存在点
,使得
,求实数
的取值范围.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/fbbd54e4f836a12ecd1cf365dc24a7c2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2e0f03c1a636063c0bd1cb153de8711f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2725a89d93c791f7a0098f4964587905.png)
(1)若直线
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f52a58fbaf4fea03567e88a9f0f6e37e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c5db41a1f31d6baee7c69990811edb9f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f52a58fbaf4fea03567e88a9f0f6e37e.png)
(2)若在圆
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c5db41a1f31d6baee7c69990811edb9f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ac047e91852b91af639feec23a9598b2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ada25f76504c3fd1226da43c94cb4277.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/294f5ba74cdf695fc9a8a8e52f421328.png)
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2020-11-19更新
|
1188次组卷
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3卷引用:广西玉林市2020-2021学年高一下学期期末数学试题
名校
3 . 已知圆
:
,点
为直线
上的一个动点,过点
向圆
作切线,切点分别为
、
,则原点
到直线
距离的最大值是______ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c5db41a1f31d6baee7c69990811edb9f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1d61985901c2bc698d72ac88f4e1eb65.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dad2a36927223bd70f426ba06aea4b45.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/019a207eed7349a43fd238fe91cd82f4.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/1dde8112e8eb968fd042418dd632759e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f52a58fbaf4fea03567e88a9f0f6e37e.png)
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4 . 过圆
上一点M(-1,2)作圆的切线l,则l的方程是( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8d35465f3e40ce00a1dce54b943ae183.png)
A.![]() | B.![]() | C.![]() | D.![]() |
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2020-07-11更新
|
766次组卷
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2卷引用:江苏省连云港市2019-2020学年高一下学期期末数学试题
名校
解题方法
5 . 已知圆E经过M(﹣1,0),N(0,1),P(
,
)三点.
(1)求圆E的方程;
(2)若过点C(2,2)作圆E的两条切线,切点分别是A,B,求直线AB的方程.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8eff998d034284391ca064755fa6bf1b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f16c8ef3313ebed3434f6a7b61cdd93b.png)
(1)求圆E的方程;
(2)若过点C(2,2)作圆E的两条切线,切点分别是A,B,求直线AB的方程.
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2020-06-03更新
|
582次组卷
|
3卷引用:江苏省南通中学2019-2020学年高一下学期期中数学试题
江苏省南通中学2019-2020学年高一下学期期中数学试题山西省洪洞县新英学校2020-2021学年高二上学期期中数学(理)试题(已下线)专题6.1 直线的方程以及直线与圆的位置关系-备战2021年高考数学精选考点专项突破题集(新高考地区)
6 . 已知圆
与直线
切于点
,则直线
的方程为( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/77276d70a9e00ec4adb72b430985d888.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0f85fca60a11e1af2bf50138d0e3fe62.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0d9dae6150999f99af12f45a0269c22a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0f85fca60a11e1af2bf50138d0e3fe62.png)
A.![]() | B.![]() |
C.![]() | D.![]() |
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名校
7 . 过直线
上的点
向圆
引一条切线,设切点为
,则
的最小值为________ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/da4611011375960ede327251150729f7.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8701e0cce437edc830438b4fe6277d89.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b3bcfcc5fdcec676875e253087acc568.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5963abe8f421bd99a2aaa94831a951e9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7ce5dcaffd91bc44cda4a2e44000ae73.png)
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2020-03-01更新
|
644次组卷
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2卷引用:广东省东莞市高级中学2017-2018学年高一下学期第一次月考数学试题
8 . 已知圆
.
(1)若圆
的切线在
轴、
轴上的截距相等,求切线方程;
(2)从圆
外一点
向该圆引一条切线,切点为
,且有
(
为坐标原点),求使
取得最小值时点
的坐标.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/bd57e91d010570c2956fe595f93f9620.png)
(1)若圆
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c5db41a1f31d6baee7c69990811edb9f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/81dea63b8ce3e51adf66cf7b9982a248.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d053b14c8588eee2acbbe44fc37a6886.png)
(2)从圆
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c5db41a1f31d6baee7c69990811edb9f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/aee82283f06cedef32eb15b87964f5d2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ac047e91852b91af639feec23a9598b2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/43e0cac807d10c3dc2f00f29d1687f7f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1dde8112e8eb968fd042418dd632759e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8d341082cc54b1cb7a790af9ec4a365d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dad2a36927223bd70f426ba06aea4b45.png)
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2020-02-29更新
|
560次组卷
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2卷引用:安徽省六安市第一中学2018-2019学年高一下学期第一次段考数学(文)试题
名校
9 . 分别求满足下列条件的直线方程.
(1)求经过两条直线
和
的交点,并且垂直于直线
的直线方程;
(2)求过点
,且与圆
相切的直线方程.
(1)求经过两条直线
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/227d4946b9dbfdc8bef33b42b6a82572.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1b6c22d1d53d8f0ed30d5c8a9cf30b4b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5d717a25a45873801c0e6c1cba9468cd.png)
(2)求过点
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/57b0d7096833988156b415433a60b036.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f6c8a696bb9f7f87df15c1085f39aa4f.png)
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10 . 求经过点
,且与直线
和
都相切的圆的方程.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1e673c5aa17d19a2a9edb7b27a1ef2de.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e3f52cb58b6bc5d71030463ba7e28134.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f281814a940820e52ec332185871e22f.png)
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2020-02-20更新
|
238次组卷
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2卷引用:福建省莆田市第一中学2018-2019学年高一下学期期中数学试题