解题方法
1 . 下列结论正确的是( )
A.过点![]() ![]() |
B.已知![]() ![]() ![]() ![]() |
C.已知直线![]() ![]() ![]() ![]() |
D.若圆M:![]() ![]() ![]() |
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解题方法
2 . 已知圆
,直线
过点
.
(1)若直线
与圆
相交,求直线
的斜率
的取值范围;
(2)以线段
为直径的圆
与圆
相交于
两点,求直线
的方程及
的面积.
![](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/cf2b1410f44205658cea90e9ce85101c.png)
(1)若直线
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0f85fca60a11e1af2bf50138d0e3fe62.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c5db41a1f31d6baee7c69990811edb9f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0f85fca60a11e1af2bf50138d0e3fe62.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f0a532e15e232cb4b99a8d4d07c89575.png)
(2)以线段
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/48f3c9abbd78e9a6840ee5f30381daac.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8455657dde27aabe6adb7b188e031c11.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c5db41a1f31d6baee7c69990811edb9f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e52586ca2a3b783bc8092415e2d4bf6d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f52a58fbaf4fea03567e88a9f0f6e37e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/15c0dbe3c080c4c4636c64803e5c1f76.png)
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3 . 已知圆
和圆
相交于
两点,点
是圆
上任意一点,则
的取值范围是( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e3b648e44f7f5207b0c08574a5297f15.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/22f87e24ba6c67f92d20e597741e4ba5.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/01c74a907dda6bb7d9d56d009d9df253.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/cd79ea6078a73c1e7ec4769e5546abec.png)
A.![]() | B.![]() |
C.![]() | D.![]() |
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2024-03-12更新
|
1042次组卷
|
3卷引用:江苏省常州市2023-2024学年高二上学期期末学业水平监测数学试卷
4 . 已知圆M:
,圆N经过点
,
,
.
(1)求圆N的标准方程,并判断两圆位置关系;
(2)若由动点P向圆M和圆N所引的切线长相等,求动点P的轨迹方程.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/95c8fd43588e3d6a8098725ead54ff6a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/19b62194097ac66a5093c57fca2f5b4f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/448c0a5ee776d19ce8e42ac9a5fd27c4.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/29610a3415c1e795d35979a5a9ff69f3.png)
(1)求圆N的标准方程,并判断两圆位置关系;
(2)若由动点P向圆M和圆N所引的切线长相等,求动点P的轨迹方程.
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5 . 已知直线l同时与圆
和圆
相切,请写出两条直线l的方程 _____ 和 _____ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/58824f9f1ec40ade500d17a72231c8f9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0ce807a9076837a8069e0a66a8c7fadf.png)
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解题方法
6 . 圆心在直线
上,且经过两圆
和
的交点的圆的方程为( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09324568f2f3995b2f932e66ee5926ba.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5b94f3e52a379530e54fa9226a2c9dc8.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0bb038d84b8c553f00916315279e9102.png)
A.![]() | B.![]() |
C.![]() | D.![]() |
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7 . 若圆
与圆
只有一个交点,则实数
的值可以是( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a1c4071387bb5ce1ca4befeb767c0343.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/392c3594f2692b415bc7f71c25a15171.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0a6936d370d6a238a608ca56f87198de.png)
A.![]() | B.![]() | C.1 | D.2 |
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8 . 由直线
:
上的一点
向圆
:
引两条切线
,
,A,
是切点,则( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0f85fca60a11e1af2bf50138d0e3fe62.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1b979396a703fb14715ba39232f5786a.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/229d3c7defc6ba917177d434d02ab995.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/bd33764ff4efddfe11a98a609753715c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d2be49c37e30a3ced0364c3e74d8c687.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7f9e8449aad35c5d840a3395ea86df6d.png)
A.线段![]() ![]() |
B.四边形![]() ![]() |
C.![]() ![]() |
D.当点![]() ![]() ![]() ![]() |
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解题方法
9 . 已知圆
的圆心坐标为
,则关于圆
的说法正确的是( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2b6e7241d84b4f045a6f551bf7aa7f31.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/48befa5d90fafd8bfdb6c90fd241ebfb.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ac047e91852b91af639feec23a9598b2.png)
A.![]() |
B.圆![]() ![]() |
C.直线![]() ![]() ![]() |
D.圆![]() ![]() ![]() |
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2024-03-07更新
|
235次组卷
|
2卷引用:云南省昭通市一中教研联盟2023-2024学年高二上学期期末质量检测数学试题(A卷)
解题方法
10 . 已知圆M:
和点
,过点P作圆M的切线,切点分别为A,B,则三角形PAB外接圆的方程为________________ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/90653f76d5a57f2ae825d97feb40ef84.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9828e2abd5761f8f27c6974fe1b70b27.png)
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