1 . 已知圆C经过点
,
,且直线
被圆C所截得的弦长为
.点P为圆C上异于A、B的任意一点,直线
与x轴交于点M,直线
与y轴交于点N.
(1)求圆C的方程;
(2)探求
是否为定值,若为定值,求出此定值,若不是定值,说明理由;
(3)过点
的动直线l与圆C交于不同的两点E,F.记线段
的中点为R,则当直线l绕点D转动时,求动点R的轨迹长度.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/32366143230ca122894a4bada7c7b96d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c850811ba59a05e945a665196539a048.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6274852e643a635e7340efa732edddc4.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/95bacae35b6e16a0a33c2bdc6bc07df7.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/bd33764ff4efddfe11a98a609753715c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d2be49c37e30a3ced0364c3e74d8c687.png)
(1)求圆C的方程;
(2)探求
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/cf904bf6e732f418ad172ce21688f626.png)
(3)过点
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/17905988258f795b4eb172b19ad2d7fa.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/49b50357a6545cae8348e3059312f520.png)
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2 . 圆
:
与圆
:
的位置关系为( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b1241216f3c1cb5e73043dd1037f556d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f240cccaf24af8a796abb95cb42be52e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/23f3ffe7abc59e2f65d827c8eab8d36a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4ff92e07d0e87dcd417c0e51db24f081.png)
A.相交 | B.内含 | C.外切 | D.内切 |
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3 . 圆
:
与圆
:
的位置关系为( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b1241216f3c1cb5e73043dd1037f556d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7f897e96bb23bc82dbc04bcb7ccdd5cf.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/23f3ffe7abc59e2f65d827c8eab8d36a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5e01fed79738d87369f2b550fa5740b9.png)
A.内切 | B.相交 | C.外离 | D.外切 |
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解题方法
4 . 以
为圆心,且与圆
相外切的圆C的方程为( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6b9ed9319f259b21e7e93fe94d60c7f3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f240cccaf24af8a796abb95cb42be52e.png)
A.![]() | B.![]() |
C.![]() ![]() | D.![]() |
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5 . 两圆
:
与圆
:
的公切线条数为( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b1241216f3c1cb5e73043dd1037f556d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c54b88b3bf57fb92f951746058e5effd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/23f3ffe7abc59e2f65d827c8eab8d36a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/fdd5882c85b5884dcd78e38afefb1e5f.png)
A.1 | B.2 | C.3 | D.4 |
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解题方法
6 . 已知圆
,则下列说法正确的是( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/949a21d6f1a4bc5a3247bc7e2ddec19b.png)
A.若点![]() ![]() ![]() ![]() |
B.点![]() ![]() |
C.圆![]() ![]() ![]() |
D.直线![]() ![]() |
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解题方法
7 . 圆
与圆
的交点为
、
,则( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/73e25b317906ca42ab1c73779cb462ea.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2ed07e1b48b2d1fdfdd8979631df5abc.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5963abe8f421bd99a2aaa94831a951e9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7f9e8449aad35c5d840a3395ea86df6d.png)
A.公共弦![]() ![]() |
B.两圆圆心距![]() |
C.线段![]() ![]() |
D.公共弦![]() ![]() |
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名校
8 . 圆
与圆
的位置关系是( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/baf8266c5919c798212c6b7cf3d5f9ae.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5e34b5f4bb0cd0be5f103696ef1c7793.png)
A.相交 | B.内切 | C.外切 | D.外离 |
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名校
9 . 已知圆
:
,圆
:
(
).
(1)若圆
与圆
相外切,求
的值;
(2)若圆
与圆
有两个公共点,求
的取值范围.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b1241216f3c1cb5e73043dd1037f556d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/59c62a5bc2ddd8b57ed3ab0e3adc507d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/23f3ffe7abc59e2f65d827c8eab8d36a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b1e8e78f67113fb40150f093b93e4323.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/45ba6b6aa6c3f9faba6b03bc193a6e61.png)
(1)若圆
![](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/11bc05f41215f9894e11d1df0465751a.png)
(2)若圆
![](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/11bc05f41215f9894e11d1df0465751a.png)
您最近一年使用:0次
2023-11-19更新
|
231次组卷
|
3卷引用:河南省太康县第一高级中学等校2023-2024学年高二上学期期中学业质量监测考试数学试题
名校
10 . 设集合
,
,若
中有且只有一个元素,则
的取值集合为__________ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f2a8a124401ec2f8427f0bd61e7ccabf.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/54c3d2cdabb729a41274f15aec929b84.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8fdbfa7a63fdf5717d40c8c9a73ec160.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/11bc05f41215f9894e11d1df0465751a.png)
您最近一年使用:0次