1 . 圆
:
与圆
的位置关系为( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ac047e91852b91af639feec23a9598b2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/fd6d5018b988d9843479cfdcfd3a522d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/96000f0fa8d5b196ede39d31479512fb.png)
A.相交 | B.内切 | C.外切 | D.相离 |
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2 . 已知点
是圆
上一点,直线
交圆
于
两点,且
,则
( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a3e36bb606fc84bf1f1251a3cb876b27.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/560adea7b0d4fbe4131fc41f3fcbd871.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/bb2de83daa8e3367c3b2e6a3f493cfeb.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4bce45bf68da797e64cf8234fac54a57.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/01c74a907dda6bb7d9d56d009d9df253.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b7ff46fe09a2d868514e16706f96565f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/baf4bb626270794de4e87e0675837db7.png)
A.0 | B.1 | C.![]() | D.![]() |
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3 . 已知圆
上两点
,
,O为坐标原点,若
,则
的最大值是( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9cd89a03660c85fb78bd7fe82ee3068c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/12a3efb79f35db8448f3391252ab7d4e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8df332f01628130c084fd46aaca0a4b7.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9ff5c21185c13eae675906dabd3593c7.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f979df095c33a0d8edce5c1fab7cad04.png)
A.8 | B.![]() | C.![]() | D.12 |
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4 . 在平面直角坐标系xOy中,直线
与圆C:
相交于点A,B,若
,则
( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/254d0e3be93b3a32e45f3cd1f8c44891.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/38498095f8db1e2e4f3b430629fd095f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/04a0681a8b971b80760a26a66defa6cc.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/825116eb345f5505ebc8c1cdb8a1f131.png)
A.![]() ![]() | B.-1或-6 | C.![]() ![]() | D.-2或-7 |
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5 . 已知直线
与圆
,点
,则下列说法错误的是( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/fdc7dfc6468b254c1bd101d7f2e6f0b2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/342ca3b17fcbc0d8af75321cdef8a34a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b4c65d3d6119b18fd2427497cbd413c3.png)
A.若点![]() ![]() ![]() ![]() |
B.若点![]() ![]() ![]() ![]() |
C.若点![]() ![]() ![]() ![]() |
D.若点![]() ![]() ![]() ![]() |
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解题方法
6 . 已知圆
与两坐标轴及直线
都相切,且圆心在第二象限,则圆
的方程为( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c5db41a1f31d6baee7c69990811edb9f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/512f4c29ff276b7f35052ad4cc255ab5.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c5db41a1f31d6baee7c69990811edb9f.png)
A.![]() | B.![]() |
C.![]() | D.![]() |
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解题方法
7 . 已知
是抛物线
上一点,圆
关于直线
对称的圆为
,
是圆
上的一点,则
的最小值为( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ac047e91852b91af639feec23a9598b2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/223cf57be5499bab6d7bf063f1ef1dbd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ca1f76d593f96f17a696ce7634ab5bf7.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9e6e15daf7b14dbff32c390f4984dcfb.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/23f3ffe7abc59e2f65d827c8eab8d36a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/54a5d7d3b6b63fe5c24c3907b7a8eaa3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/23f3ffe7abc59e2f65d827c8eab8d36a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/084cf5ffced059f5653ee2a1023518b7.png)
A.![]() | B.![]() | C.![]() | D.![]() |
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解题方法
8 . 已知m,
,
,记直线
与直线
的交点为P,点Q是圆C:
上的一点,若PQ与C相切,则
的取值范围是( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8440725e1df5ca0990b572dd84127914.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/43db2c39601a998aeba8f76419fb30c8.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5ad8fd1a3be7dbff94c1e585cb05c1a0.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6ac35e70d31f4bde3340e7c93e3cc6f9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/85c25b4d3207ab7c0bc74255ebb9a86f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d44e8bc37ed03f44470762748a8f942a.png)
A.![]() | B.![]() |
C.![]() | D.![]() |
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2024-05-28更新
|
685次组卷
|
4卷引用:广东省茂名市高2024届高三下学期高考模拟数学试题
广东省茂名市高2024届高三下学期高考模拟数学试题广东省茂名市2024届高三下学期第二次综合测试数学试题(已下线)第3套 新高考全真模拟卷(三模重组)(已下线)第4题 直线与圆相切的最值问题(压轴小题)
解题方法
9 . 在乎面直角坐标系中,O为坐标原点,已知直线
,点
为圆
上两动点,且满足
,则
到直线
的距离之和的最小值为( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3b9eb95b0f147bf32f84d8da1fd72e61.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/01c74a907dda6bb7d9d56d009d9df253.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f240cccaf24af8a796abb95cb42be52e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ed367b88668d973e54bbae632e92c628.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/01c74a907dda6bb7d9d56d009d9df253.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0f85fca60a11e1af2bf50138d0e3fe62.png)
A.![]() | B.![]() | C.![]() | D.![]() |
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10 . 若圆
上存在唯一点
,使得
,其中
,则正数
的值为( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8de6a1e808d742bf555762a4a414d6c3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dad2a36927223bd70f426ba06aea4b45.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/68a06b9d194a598a77d0d0a7548800c6.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6c240561788bc63f41a6703219fb66d9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0a6936d370d6a238a608ca56f87198de.png)
A.![]() | B.![]() | C.![]() | D.![]() |
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