1 . 圆
与圆
的公切线的方程为__________ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/fd83d733037f9c4305f4e3a7f5bbe142.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/45e7abf8f29e5b328f3090171da09724.png)
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2 . 已知圆
和圆
,则两圆公切线的条数为( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/70feca8eac775ebee7b6d9760e2be6f6.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d260b618782c8dc983341317735a2737.png)
A.1 | B.2 | C.3 | D.4 |
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名校
3 . (1)求圆
和圆
的公切线![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0f85fca60a11e1af2bf50138d0e3fe62.png)
(2)若
与抛物线
相交,求弦长
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/560adea7b0d4fbe4131fc41f3fcbd871.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3d5b68c97448290f6ed3172bdf384abf.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0f85fca60a11e1af2bf50138d0e3fe62.png)
(2)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0f85fca60a11e1af2bf50138d0e3fe62.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/732cec7b8b8554dba130da909c6ec8bf.png)
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4 . 已知圆
,圆
,直线
分别与圆
和圆
切于
两点,则线段
的长度为__________ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8605717a59e1c4ee42988cd495ed9634.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e3b283ee75ecbdc2ec6ce3bc822805ad.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0f85fca60a11e1af2bf50138d0e3fe62.png)
![](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/7789a500686c7a73770404ead6af0590.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/411461db15ee8086332c531e086c40c7.png)
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2024-04-10更新
|
620次组卷
|
2卷引用:2024年河南省普通高中毕业班高考适应性测试数学试题
名校
5 . 若圆
与圆
有且仅有一条公切线,则![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a6c57bbef89a37f1a3808c0ceeac0c22.png)
_________ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/afb55d5439f9748241192ef15c4cf20c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f80864305c9bdb342352f4b094639edb.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a6c57bbef89a37f1a3808c0ceeac0c22.png)
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6 . 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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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 . 已知圆
,则下列结论正确的有( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1c4cc73e103c964923330174b9e0f96d.png)
A.若圆![]() ![]() ![]() |
B.若圆![]() ![]() ![]() |
C.当![]() ![]() ![]() |
D.当![]() ![]() ![]() |
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2024-02-24更新
|
1713次组卷
|
4卷引用:黑龙江省齐齐哈尔市2024届高三第一次模拟考试数学试题
解题方法
9 . 写出圆
:
与圆
:
的一条公切线方程________ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ac047e91852b91af639feec23a9598b2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/579d7b3a6cdcf8aafc7defe020e4aeb5.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/54a5d7d3b6b63fe5c24c3907b7a8eaa3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/12b0f75b4efd9909155c8c262ff40af3.png)
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解题方法
10 . 在平面直角坐标系
中,已知圆
,圆
,
是圆
的一条直径,点
在圆
上,设直线
为两圆的公切线,则( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7ee31829d0d4d5f779a957d7df8058ab.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/fd83d733037f9c4305f4e3a7f5bbe142.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b61ea5c2cd0f1d470ddc803f2de19c24.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f52a58fbaf4fea03567e88a9f0f6e37e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b1241216f3c1cb5e73043dd1037f556d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dad2a36927223bd70f426ba06aea4b45.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/23f3ffe7abc59e2f65d827c8eab8d36a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0f85fca60a11e1af2bf50138d0e3fe62.png)
A.圆![]() ![]() | B.直线![]() |
C.直线![]() ![]() | D.![]() |
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