真题
1 . 如图,AD是圆O的切线,切点为A,AB是圆O的弦.过点B作BC//AD,交圆O于点C,连接AC,过点C作CD//AB,交AD于点D.连接AO并延长交BC于点M,交过点C的直线于点P,且∠BCP=∠ACD.
![](https://img.xkw.com/dksih/QBM/editorImg/2022/8/2/ef735e29-b002-44f7-ba8e-34b43c76e408.png?resizew=213)
(1)判断直线PC与圆O的位置关系,并说明理由:
(2)若AB=9,BC=6,求PC的长.
![](https://img.xkw.com/dksih/QBM/editorImg/2022/8/2/ef735e29-b002-44f7-ba8e-34b43c76e408.png?resizew=213)
(1)判断直线PC与圆O的位置关系,并说明理由:
(2)若AB=9,BC=6,求PC的长.
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2019-01-30更新
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2912次组卷
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11卷引用:2019届华师大版九年级数学下册 第27章《圆》经典题型单元测试题
2 . 如图,⊙O中,PC切⊙O于点C,连PO交于⊙O点A、B,点F是⊙O上一点,连PF,CD⊥AB于点D,AD=2,CD=4,则PF:DF的值是( )
![](https://img.xkw.com/dksih/QBM/2019/1/11/2116607095013376/2118583006208000/STEM/861ecbbae67e4b3492803bf8dfef7d51.png?resizew=123)
![](https://img.xkw.com/dksih/QBM/2019/1/11/2116607095013376/2118583006208000/STEM/861ecbbae67e4b3492803bf8dfef7d51.png?resizew=123)
A.2 | B.![]() | C.5:3 | D.4:3 |
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3 . 一张半径为2的半圆图纸沿它的一条弦折叠,使其弧与直径相切,如图所示,O为半圆圆心,如果切点分直径之比为3:1,则折痕长为( )
![](https://img.xkw.com/dksih/QBM/2019/1/10/2115708824305664/2117212934053888/STEM/2ceea23fa27746898e5b8977dd2e46c4.png?resizew=139)
![](https://img.xkw.com/dksih/QBM/2019/1/10/2115708824305664/2117212934053888/STEM/2ceea23fa27746898e5b8977dd2e46c4.png?resizew=139)
A.3 | B.![]() ![]() | C.![]() ![]() | D.2![]() |
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2019-01-13更新
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626次组卷
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2卷引用:华师大版九年级数学下册 第27章 圆 单元检测试题
4 . 如图,△AOB中,∠O=90°,AO=8cm,BO=6cm,点C从A点出发,在边AO上以4cm/s的速度向O点运动,与此同时,点D从点B出发,在边BO上以3cm/s的速度向O点运动,过OC的中点E作CD的垂线EF,则当点C运动了________ s时,以C点为圆心,2cm为半径的圆与直线EF相切.
![](https://img.xkw.com/dksih/QBM/editorImg/2024/4/5/a360a1f7-9062-4480-b935-d794bf925e85.png?resizew=150)
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2018-12-30更新
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415次组卷
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3卷引用:苏科版九年级数学上册 第二章 对称图形-圆 单元评估检测
5 . 如图,直线
,
与
和
分别相切于点
和点
,点
和点
分别是
和
上的动点,
沿
和
平移,若
的半径为
,
,则下列结论不正确的是( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/fbf9f7c889a6702efbf175c87003858b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d9ccea461315a9d05aa0193b937d4bfe.png)
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![](https://staticzujuan.xkw.com/quesimg/Upload/formula/eea5c8fe935beac660eda538e59cd43f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5963abe8f421bd99a2aaa94831a951e9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7f9e8449aad35c5d840a3395ea86df6d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ac047e91852b91af639feec23a9598b2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/54a5d7d3b6b63fe5c24c3907b7a8eaa3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dd8f64ebec4a71a609204458cc54df82.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/eea5c8fe935beac660eda538e59cd43f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/aa29fe6cd9eb51c184f6299d437375cb.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dd8f64ebec4a71a609204458cc54df82.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/eea5c8fe935beac660eda538e59cd43f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d9ccea461315a9d05aa0193b937d4bfe.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/bdaa19de263700a15fcf213d64a8cd57.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c0bc8d9eedaec5343a9e3100d98d1293.png)
![](https://img.xkw.com/dksih/QBM/editorImg/2024/3/9/4af24442-1fd6-464b-9605-391222a225c0.png?resizew=215)
A.![]() ![]() ![]() | B.当![]() ![]() ![]() |
C.![]() | D.当![]() ![]() ![]() |
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6 . 如图已知
是半径,弦
垂直
于
,点
是
上的一点,
和
相交于另一点
,过点
的切线和
的延长线交于点
,
(1)求证:
;
(2)当
,
时,求
的值.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d62e8aadaadebf1454fde21a390ebdea.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0215e13a9fb5574d5194aeb9507a98aa.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d62e8aadaadebf1454fde21a390ebdea.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/73465a1f9aa03481295bf6bd3c6903ac.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5963abe8f421bd99a2aaa94831a951e9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/23bb85d51b268f349dd633f02d05b05d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/41ff8c8d239cc12ddc3a899e9f054aa9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d9ccea461315a9d05aa0193b937d4bfe.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c5db41a1f31d6baee7c69990811edb9f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c5db41a1f31d6baee7c69990811edb9f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0215e13a9fb5574d5194aeb9507a98aa.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8455657dde27aabe6adb7b188e031c11.png)
(1)求证:
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e6e568aab11f56643bca77a7cf396633.png)
(2)当
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/491d47eb765e2efc67c56ed7f6cff90b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8d42546ca5622e52c93c781f90db8c54.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/944c4be79cbc7ff7ab20d7aa3858af00.png)
![](https://img.xkw.com/dksih/QBM/2018/12/16/2098189890396160/null/STEM/894421526002439aaa4ca0652aa7d7f5.png?resizew=153)
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7 . 已知,Rt△ABC中,∠C=90°,AC=4,BC=3.以AC上一点O为圆心的⊙O与BC相切于点C,与AC相交于点D.
(1)如图1,若⊙O与AB相切于点E,求⊙O的半径;
(2)如图2,若⊙O在AB边上截得的弦FG=
, 求⊙O的半径.
(1)如图1,若⊙O与AB相切于点E,求⊙O的半径;
(2)如图2,若⊙O在AB边上截得的弦FG=
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b213977bd5181f30350109ded78b2d57.png)
![](https://img.xkw.com/dksih/QBM/2018/12/4/2089710696022016/2096022647242752/STEM/71522311a15344eda63f60e65ec9c2e2.png?resizew=361)
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8 . 如图,在Rt△ABC中,∠C=90°,∠A=30°,BC=2,⊙C的半径为1,点P是斜边AB上的点,过点P作⊙C的一条切线PQ(点Q是切点),则线段PQ的最小值为_____ .
![](https://img.xkw.com/dksih/QBM/2018/11/5/2069214738792448/2071290654302208/STEM/78a8b491d4734804b0784f718a87be65.png?resizew=183)
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2018-11-08更新
|
1598次组卷
|
8卷引用:2018年秋人教版九年级上册第24章圆重点提升测试数学试题
2018年秋人教版九年级上册第24章圆重点提升测试数学试题【市级联考】广西玉林市2018届九年级中考三模数学试卷(已下线)专题3.28 《圆》全章复习与巩固(提高篇)(专项练习)-2021-2022学年九年级数学下册基础知识专项讲练(北师大版)广东省广州市黄埔区2021-2022学年九年级上学期期末数学试题江苏省苏州市苏州工业园区景城学校2022-2023学年九年级上学期10月月考数学试题广东省惠州市博文学校2022-2023学年九年级上学期期末复习训练卷(已下线)期末难点特训(三)选填压轴50道-【微专题】2022-2023学年九年级数学下册常考点微专题提分精练(人教版)广东省东莞市松山湖实验中学教育集团2023-2024学年九年级上学期期末数学试题
9 . 如图,已知
,以
为圆心,
长为半径作
,
是
上一个动点,直线
交
轴于
点,则
面积的最大值是( )
![](https://img.xkw.com/dksih/QBM/2018/11/1/2066442064461824/2067144468381696/STEM/a3d366929e6140a3b28f3268fb59b259.png?resizew=128)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0c2a13110044cdfa678593f8e9368b2a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/427e52cab78b7717e1c970b0ecfb0f9b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0ed69ca4e533e51efcf328c7085334b3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/04d09bf4c5371bc05598d66774686f77.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8346ced59eb87a592fca47a82a146912.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/04d09bf4c5371bc05598d66774686f77.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/40484858bcdaf6ccfa297cdae291b967.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a2db885ad7da56625153d3bceafdb507.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e8f1796428c2600bbbdff746b0311583.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e659b19f4944b08d0a11f94746d7bc55.png)
![](https://img.xkw.com/dksih/QBM/2018/11/1/2066442064461824/2067144468381696/STEM/a3d366929e6140a3b28f3268fb59b259.png?resizew=128)
A.![]() | B.![]() | C.![]() | D.![]() |
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10 . 如图,AB为⊙O的直径,CD切⊙O于点C,与BA的延长线交于点D,OE⊥AB交⊙O于点E,连接CA、CE、CB,CE交AB于点G,过点A作AF⊥CE于点F,延长AF交BC于点P.
(Ⅰ)求∠CPA的度数;
(Ⅱ)连接OF,若AC=
,∠D=30°,求线段OF的长.
(Ⅰ)求∠CPA的度数;
(Ⅱ)连接OF,若AC=
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a7ffe8515ff6183c1c7775dc6f94bdb8.png)
![](https://img.xkw.com/dksih/QBM/2018/8/31/2022355702235136/2024672978829312/STEM/638171e777944bec9d57475b3f1d3604.png?resizew=215)
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2018-09-03更新
|
564次组卷
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2卷引用:2019届北师大版九年级数学下册 第 3 章《圆》经典题型单元测试题