名校
解题方法
1 . 已知圆
是过原点且互相垂直的两条直线,若
被
截得的弦长与
被
截得的弦长的比为
,则直线
的斜率![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dd707b69a11f8de5566f23c1a2a9ff5a.png)
______ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9f09445e7140218c30e8352b70c75413.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2e9b0f5f44abbc6544a2f672b025b013.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c5db41a1f31d6baee7c69990811edb9f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3f6f17bc385bafb37e8f964e5eb99cd0.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c5db41a1f31d6baee7c69990811edb9f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/bbe103f073845122c66f22dcb14b711f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2e9b0f5f44abbc6544a2f672b025b013.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dd707b69a11f8de5566f23c1a2a9ff5a.png)
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2 . 已知圆C:
,
,若C上存在点P,使得
,则r的取值范围为____________ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4e0b279971d9eb13c7e78a3efaed8b86.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/61b5e26e12566b5845e275f5e83cae99.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/007133a2ea0bfba50280741407cf10d4.png)
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解题方法
3 . 已知圆
经过
,
,
三点,
(i)则圆
的标准方程为______ ;
(ii)若直线
关于
对称的直线与圆
有公共点,则
的取值范围是______ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c5db41a1f31d6baee7c69990811edb9f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/448c0a5ee776d19ce8e42ac9a5fd27c4.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/29610a3415c1e795d35979a5a9ff69f3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e5dd02ef5bf6f4fd27de63840cf97021.png)
(i)则圆
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c5db41a1f31d6baee7c69990811edb9f.png)
(ii)若直线
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f52a58fbaf4fea03567e88a9f0f6e37e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/46111e4d12c21798aa213c0d7804c2ac.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c5db41a1f31d6baee7c69990811edb9f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0a6936d370d6a238a608ca56f87198de.png)
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名校
4 . 过圆
外一点
做圆
的切线
,切点为
,若
,则
的最大值为( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/560adea7b0d4fbe4131fc41f3fcbd871.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/23e0db273061d0331e4e5da9ff1e955e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1dde8112e8eb968fd042418dd632759e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b66a5b7813e902306477f91f9f4084cd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5963abe8f421bd99a2aaa94831a951e9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f6b0dd09a59056af579586ab8b69f4f1.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9817a48b819ab971e79bad7b20250294.png)
A.![]() | B.![]() | C.![]() | D.8 |
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解题方法
5 . 已知圆C:
,直线l:
,若l与圆C交于A,B两点,设坐标原点为O,则
的最大值为( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1ca01d1c400707e011745ad16199da13.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6ef6d00ddabcb1bb41fae534f5183ec0.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/df09bff72dab3e6555a0597b638a3bd0.png)
A.![]() | B.![]() | C.![]() | D.![]() |
您最近一年使用:0次
7日内更新
|
64次组卷
|
2卷引用:2024届广西壮族自治区贵港市高考模拟预测数学试题
6 . 过点
向圆
作两条切线,切点分别为
,若
,则( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/fffd1af70bfee78356fc7c515c283730.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/675fc8ea457e0ceb6c0adf455d8a9c3d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/01c74a907dda6bb7d9d56d009d9df253.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4215ae359227ff75071903accff4feba.png)
A.![]() ![]() | B.![]() ![]() | C.![]() ![]() | D.![]() ![]() |
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解题方法
7 . 圆
被直线
所截线段的长度为( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0bc12c55f2676aeb4f696f4a84e4d65b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/beff5e5c9df612aa7890170d9b836f39.png)
A.2 | B.4 | C.![]() | D.![]() |
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解题方法
8 . 已知O是
所在平面内一点,且
,
,
,则
的最大值为( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/15c0dbe3c080c4c4636c64803e5c1f76.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/42083f00cd68320e4e0275400c139551.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8533b7d67a3d95340a8462819680367f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/98db0299f88f80030e8b01debb45d8e1.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d39b8d91afc34e4a9b0fdbb6bafb9087.png)
A. ![]() | B. ![]() | C.![]() | D.![]() |
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9 . 已知动点
分别在圆
和
上,动点
在
轴上,则( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6f44755c5fee4b90266eac73ad47a128.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ca1f76d593f96f17a696ce7634ab5bf7.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/58147d64340ea78bd7d1ea476a77740b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dad2a36927223bd70f426ba06aea4b45.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/81dea63b8ce3e51adf66cf7b9982a248.png)
A.圆![]() |
B.圆![]() ![]() |
C.![]() ![]() |
D.过点![]() ![]() ![]() |
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10 . 已知双曲线
的上焦点为
,圆
的圆心位于
轴上,半径为
,且与
的上支交于
两点,则
的最小值为( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0f7bcb34ed3bf1981b04d07b53030264.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a0ed1ec316bc54c37c4286c208f55667.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5963abe8f421bd99a2aaa94831a951e9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/81dea63b8ce3e51adf66cf7b9982a248.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/cf298f00799cbf34b4db26f5f63af92f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c5db41a1f31d6baee7c69990811edb9f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/fbdb21011ea821b91d539cb763aac649.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/abe4bb74e6e498622b4c32ced5b6fcee.png)
A.![]() | B.![]() | C.![]() | D.![]() |
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