1 . 直线
:
与
:
交于点P,圆C:
上有两动点A,B,且
,则
的最小值为( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2e9b0f5f44abbc6544a2f672b025b013.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f69efa05c9d7e9d7e8a435644b774744.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3f6f17bc385bafb37e8f964e5eb99cd0.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f246d8cf62eacc904f01c0502558c43d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/95ab7ba0f4a1a78971163146eaa2ec5d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/529b4836786aca156de325464ea2ecd9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1b3cc88a956e5e4805a1ebaf7a0e91ce.png)
A.![]() | B.![]() | C.![]() | D.![]() |
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2024-03-31更新
|
674次组卷
|
3卷引用:河南省济洛平许2024届高三第三次质量检测数学试题
2 . 已知A为圆C:
上的动点,B为圆E:
上的动点,P为直线
上的动点,则
的最大值为______________ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/474f0068e21da52c260ca46bf8149563.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9b309986ab9da2e049812c871769924f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2d585d2d6643471640905d234d9538c5.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1cb58cef2ef9fd70d37d138c5ec445ba.png)
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名校
3 . 已知圆C方程为
.
(1)求实数m的取值范围;
(2)若直线
与圆C相切,求实数m的值;
(3)若圆C与圆
相切,求实数m的值.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/cbd812f3391bee8853de264722b943e3.png)
(1)求实数m的取值范围;
(2)若直线
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/65ccbfa4df4190907430bf37828edf34.png)
(3)若圆C与圆
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/560adea7b0d4fbe4131fc41f3fcbd871.png)
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2024-03-05更新
|
126次组卷
|
2卷引用:浙江省杭州第二中学钱江学校2023-2024学年高二上学期期末数学试题
解题方法
4 . 如图,在平面直角坐标系
中,点
,直线
,设圆C的半径为1,圆心在l上.
![](https://img.xkw.com/dksih/QBM/editorImg/2024/2/29/5426adc8-1854-4d34-b385-3a24824b222a.png?resizew=147)
(1)若圆心C也在直线
上,过点A作圆C的切线,求切线的方程;
(2)若圆C上存在点M,使
,求圆心C的横坐标a的取值范围.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7ee31829d0d4d5f779a957d7df8058ab.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dc878a5fd7b508cf817cbb65d3940547.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6db0a1cbf7b0ed76c443b953af8734d0.png)
![](https://img.xkw.com/dksih/QBM/editorImg/2024/2/29/5426adc8-1854-4d34-b385-3a24824b222a.png?resizew=147)
(1)若圆心C也在直线
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5b8c1212804e6d784756d48083d166e8.png)
(2)若圆C上存在点M,使
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a464b0c729f294287d3d89119a585293.png)
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解题方法
5 . 已知点
是直线
的上一动点,
,
,
成公差非0的等差数列,
,
则下列说法正确的有( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dad2a36927223bd70f426ba06aea4b45.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/29fa0e0526598c4140789f6328daac9f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2c94bb12cee76221e13f9ef955b0aab1.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0a6936d370d6a238a608ca56f87198de.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/071a7e733d466949ac935b4b8ee8d183.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b289e821e552e8489ddda0517dedf1b3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2e2104d506cea2dd3457ab1a8cbbe9b5.png)
A.若![]() ![]() ![]() |
B.直线![]() ![]() |
C.存在3个点![]() ![]() ![]() |
D.已知![]() ![]() ![]() ![]() ![]() ![]() |
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6 . 已知方程:![](https://staticzujuan.xkw.com/quesimg/Upload/formula/721d16a081df3064451470a841644f51.png)
(1)若
R,试确定方程所表示的曲线.
(2)若方程表示的圆与直线
相切,求m的值
(3)若方程所表示的圆与圆
相外切,求m的值.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/721d16a081df3064451470a841644f51.png)
(1)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/aae55952e90bddabd1205eeb66437c7a.png)
(2)若方程表示的圆与直线
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f0947dc8f5ba116aaf3239d66adc7474.png)
(3)若方程所表示的圆与圆
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f240cccaf24af8a796abb95cb42be52e.png)
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名校
解题方法
7 . 已知圆
上动弦
的长为
,若圆
上存在点P恰为线段
的中点,则实数m的取值范围是( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2532eed41394adad4891b2ac9d112aee.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f52a58fbaf4fea03567e88a9f0f6e37e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/38387ba1cadfd3dfc4dea4ca9f613cea.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d3a7199c048ef4120a74f357f0639be9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f52a58fbaf4fea03567e88a9f0f6e37e.png)
A.![]() | B.![]() |
C.![]() | D.![]() |
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8 . 过原点的动直线l与圆
交于不同的两点A,B.记线段
的中点为P,则当直线l绕原点转动时,动点P的轨迹长度为____________ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/99eb3ea9e2bc4938615d2df08c865e06.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f52a58fbaf4fea03567e88a9f0f6e37e.png)
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9 . 已知两圆
:
,
:
,则下列说法正确的是( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b1241216f3c1cb5e73043dd1037f556d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/08227ca941898eb34941f446ca8b1de8.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/23f3ffe7abc59e2f65d827c8eab8d36a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dca2415dee662897b676734cfc768d66.png)
A.点![]() ![]() |
B.圆![]() ![]() |
C.圆![]() ![]() |
D.点![]() ![]() ![]() ![]() ![]() |
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解题方法
10 . 已知两圆方程为
与
,则下列说法正确的是( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a5f5d967ad135991b6075ee45df55643.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c3d1a9b8e2ad6343e6084ee022d1b919.png)
A.若两圆有3条公切线,则![]() |
B.若两圆公共弦所在的直线方程为![]() ![]() |
C.若两圆公共弦长为![]() ![]() |
D.若两圆在交点处的切线互相垂直,则![]() |
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