解题方法
1 . 过圆C:
外一点
作圆C的切线,切点分别为A,B,则直线
过定点( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1d61985901c2bc698d72ac88f4e1eb65.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/449bbc7a16a3bba56540c428ecc3acb2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f52a58fbaf4fea03567e88a9f0f6e37e.png)
A.![]() | B.![]() |
C.![]() | D.![]() |
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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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3 . 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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4 . 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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5 . 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
6 . 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)
7 . 已知与圆
:
和圆
:
都相切的直线有且仅有两条,则实数
的取值范围是________ .
![](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/0fcea1e59e2fb6f952925153056b9cd7.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0a6936d370d6a238a608ca56f87198de.png)
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8 . 设
,若圆
与圆
有公共点,则
的取值范围为( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/94440d3e4c073f94f2b266ff99d50e74.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/abc2cd025b8c048a0174b2855f9cdc93.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a143573e9fe53e6a861154bf5b4c27c3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0a6936d370d6a238a608ca56f87198de.png)
A.![]() | B.![]() |
C.![]() | D.![]() |
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9 . 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
|
127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
10 . 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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