解题方法
1 . 圆
在点
处的切线方程为______ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a143573e9fe53e6a861154bf5b4c27c3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/17ecd1eb0eafdc172501d3731c9bbd2a.png)
您最近一年使用:0次
名校
解题方法
2 . 已知半径为2的圆
的圆心在射线
上,点
在圆
上.
(1)求圆
的标准方程;
(2)求过点
且与圆
相切的直线方程.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c5db41a1f31d6baee7c69990811edb9f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b43e1bea7019a76adbc8651256cdfdfe.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/21f20953302d861e6c698575bfbab1c6.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c5db41a1f31d6baee7c69990811edb9f.png)
(1)求圆
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c5db41a1f31d6baee7c69990811edb9f.png)
(2)求过点
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/96e30645f36e8628b9e25d53598d5174.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c5db41a1f31d6baee7c69990811edb9f.png)
您最近一年使用:0次
2024-06-05更新
|
166次组卷
|
2卷引用:贵州省六盘水市盘州市第一中学2023-2024学年高二上学期期末考试数学试题
2024·全国·模拟预测
3 . 若直线
上仅存在一点
,使得过点
的直线与圆
切于点
,且
,则
的值为( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7bd6e4185a3de5a361c4a87c62a770a8.png)
![](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/f240cccaf24af8a796abb95cb42be52e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/acc290b44635265137fdf13146b6a6d9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/50878e35cc3c632655e64a99fef5e9cc.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0a6936d370d6a238a608ca56f87198de.png)
A.![]() | B.![]() | C.3 | D.![]() |
您最近一年使用:0次
4 . 设M是圆C:
上的动点,
是圆的切线,且
,则点N到点
距离的最小值为( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b217dbec62d527b0e05a5b962770d193.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/411461db15ee8086332c531e086c40c7.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/70b258d236f06d587db7fcd11983394d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/41167177b65969b1d159a83c3f04d853.png)
A.4 | B.5 | C.6 | D.16 |
您最近一年使用:0次
5 . 法国著名数学家蒙日首先发现椭圆两条互相垂直的切线的交点轨迹是以椭圆的中心为圆心的圆,后来这个圆被称为蒙日圆.已知椭圆
,其蒙日圆为圆
,过直线
上一点
作圆
的两条切线,切点分别为
,
,则下列选项正确的是( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0296bd9900adcc311f59ad44e940b86f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ac047e91852b91af639feec23a9598b2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5609d2ccc24a7ab59fdbf8d033227f76.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dad2a36927223bd70f426ba06aea4b45.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ac047e91852b91af639feec23a9598b2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5963abe8f421bd99a2aaa94831a951e9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7f9e8449aad35c5d840a3395ea86df6d.png)
A.圆![]() ![]() | B.四边形![]() |
C.![]() ![]() | D.当点![]() ![]() ![]() ![]() |
您最近一年使用:0次
解题方法
6 . 已知直线
,半径为
的圆
与
相切,圆心
在
轴的非负半轴上.
(1)求圆
的方程;
(2)设过点
的直线
被圆
截得的弦长等于
,求直线
的方程.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/def0608e2fc45630371a172d68def504.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5ca7d1107389675d32b56ec097464c14.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c5db41a1f31d6baee7c69990811edb9f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2e9b0f5f44abbc6544a2f672b025b013.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c5db41a1f31d6baee7c69990811edb9f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/81dea63b8ce3e51adf66cf7b9982a248.png)
(1)求圆
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c5db41a1f31d6baee7c69990811edb9f.png)
(2)设过点
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/530e5817131adf2c05b99ff18eb9060f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3f6f17bc385bafb37e8f964e5eb99cd0.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c5db41a1f31d6baee7c69990811edb9f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4e2031d209711b058f3d278ede3c1d33.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3f6f17bc385bafb37e8f964e5eb99cd0.png)
您最近一年使用:0次
解题方法
7 . 已知圆
:
.
(1)若直线
过定点
,且与圆
相切,求
的方程;
(2)若圆
的半径为
,圆心在直线
:
上,且与圆
外切,求圆
的方程.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c5db41a1f31d6baee7c69990811edb9f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c4d08158fd61e70c9e46e81c793b96fe.png)
(1)若直线
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0f85fca60a11e1af2bf50138d0e3fe62.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3ca979687ffb2214e747525635a6912c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c5db41a1f31d6baee7c69990811edb9f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0f85fca60a11e1af2bf50138d0e3fe62.png)
(2)若圆
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8455657dde27aabe6adb7b188e031c11.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/bdaa19de263700a15fcf213d64a8cd57.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/294f5ba74cdf695fc9a8a8e52f421328.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3dcaada7649455fbebcdbdbb9a94e6a1.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c5db41a1f31d6baee7c69990811edb9f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8455657dde27aabe6adb7b188e031c11.png)
您最近一年使用:0次
解题方法
8 . 已知点
为圆
的两条切线,切点分别为
,则下列说法正确的是( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a827fd8990d58c1f979be7b84a438b9c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/248e009d63256e6a893b037fd67d2b78.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7789a500686c7a73770404ead6af0590.png)
A.圆![]() ![]() ![]() |
B.切线![]() |
C.直线![]() ![]() |
D.![]() |
您最近一年使用:0次
9 . 过点
作圆
的切线,则切线方程为__________ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d483dd3a65702ed0cd7df766300d03b3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a5f5d967ad135991b6075ee45df55643.png)
您最近一年使用:0次
2024-03-12更新
|
423次组卷
|
2卷引用:上海市新川中学2023-2024学年高二上学期期末数学试题
解题方法
10 . 已知圆
经过点
,
,
.
(1)求圆
的方程;
(2)过点
作直线
与圆
相切,求直线
的方程.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ac047e91852b91af639feec23a9598b2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1c6ff81aedbefa935da289dc632e78eb.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/76d03fa28c117649b0fdfe17eed7b583.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a77cb0a28d72b7e7eacc877e97bc7ff7.png)
(1)求圆
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ac047e91852b91af639feec23a9598b2.png)
(2)过点
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a436db19eb954d31075d5398f1b92ecd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0f85fca60a11e1af2bf50138d0e3fe62.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ac047e91852b91af639feec23a9598b2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0f85fca60a11e1af2bf50138d0e3fe62.png)
您最近一年使用:0次