1 . 如图,AB是⊙O的直径,C为半圆上一点,CD⊥AB于D,若BC=3,AC=4,则AD∶CD∶BD等于( )
A.4∶6∶3 | B.6∶4∶3 |
C.4∶4∶3 | D.16∶12∶9 |
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2 . 如图,在⊙O中,半径OA⊥OB,弦AC交OB于D,E是OB延长线上一点,若∠OAD=30°,ED=CE.
![](https://img.xkw.com/dksih/QBM/2017/8/14/1758848846274560/1815497844482048/STEM/9a07340cbd6e4d71a9d2f0f483af0ad2.png?resizew=75)
求证:EC是⊙O的切线.
![](https://img.xkw.com/dksih/QBM/2017/8/14/1758848846274560/1815497844482048/STEM/9a07340cbd6e4d71a9d2f0f483af0ad2.png?resizew=75)
求证:EC是⊙O的切线.
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3 . 如图,已知P是⊙O外一点,PD为⊙O的切线,D为切点,割线PEF经过圆心O,若PF=12,PD=4
,则圆O的半径长为________ 、∠EFD的度数为________ .
![](https://img.xkw.com/dksih/QBM/2017/8/14/1758848846274560/1815497844449280/STEM/50babfa772ae4afb895ef814fd2be01d.png?resizew=17)
![](https://img.xkw.com/dksih/QBM/2017/8/14/1758848846274560/1815497844449280/STEM/2e59fdd541db4f05b9668561ec290cfb.png?resizew=123)
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4 . 如图,四边形ABCD为圆内接四边形,AC为BD的垂直平分线,∠ACB=60°,AB=a,则CD等于( )
![](https://img.xkw.com/dksih/QBM/2017/8/14/1758848846274560/1815497844408320/STEM/7aedc0bac21d4ba08abc492881e89365.png?resizew=91)
![](https://img.xkw.com/dksih/QBM/2017/8/14/1758848846274560/1815497844408320/STEM/7aedc0bac21d4ba08abc492881e89365.png?resizew=91)
A.![]() | B.![]() | C.![]() | D.![]() |
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5 . 如图,已知⊙O是△ABC的外接圆,⊙I是△ABC的内切圆,∠A=80°,则∠BIC等于( )
![](https://img.xkw.com/dksih/QBM/2017/8/14/1758848846274560/1815497844359168/STEM/521861ea16274fc4a18fcb5d732a1b34.png?resizew=105)
![](https://img.xkw.com/dksih/QBM/2017/8/14/1758848846274560/1815497844359168/STEM/521861ea16274fc4a18fcb5d732a1b34.png?resizew=105)
A.80° | B.100° | C.120° | D.130° |
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6 . 选修4﹣1:几何证明选讲
如图,已知PA是⊙O的切线,A是切点,直线PO交⊙O于B、C两点,D是OC的中点,连接AD并延长交⊙O于点E,若PA=2
,∠APB=30°.
![](https://img.xkw.com/dksih/QBM/2016/10/18/1573078232383488/1573078238445568/STEM/68001373d0e44c26a1259b1bff31d3ea.png)
(Ⅰ)求∠AEC的大小;
(Ⅱ)求AE的长.
如图,已知PA是⊙O的切线,A是切点,直线PO交⊙O于B、C两点,D是OC的中点,连接AD并延长交⊙O于点E,若PA=2
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a7ffe8515ff6183c1c7775dc6f94bdb8.png)
![](https://img.xkw.com/dksih/QBM/2016/10/18/1573078232383488/1573078238445568/STEM/68001373d0e44c26a1259b1bff31d3ea.png)
(Ⅰ)求∠AEC的大小;
(Ⅱ)求AE的长.
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7 . (选修4-1:几何证明选讲)如图,
是圆
的直径,
,
为圆
上的点,
是
的角平分线,
与圆
切于点
且交
的延长线于点
,
,垂足为点
,若圆
的半径为1,
,则![](https://img.xkw.com/dksih/QBM/2015/3/27/1572042099597312/1572042105487360/STEM/d2947fe9e6024f20b15951dac51e0253.png?resizew=76)
_____ .
![](https://img.xkw.com/dksih/QBM/2015/3/27/1572042099597312/1572042105487360/STEM/bb121e6c2b33471590ee57c58f54db33.png?resizew=27)
![](https://img.xkw.com/dksih/QBM/2015/3/27/1572042099597312/1572042105487360/STEM/5cdeda5bf2a44e4da9930b74832f52e4.png?resizew=16)
![](https://img.xkw.com/dksih/QBM/2015/3/27/1572042099597312/1572042105487360/STEM/b5b735a255c942a68849d31b03921028.png?resizew=16)
![](https://img.xkw.com/dksih/QBM/2015/3/27/1572042099597312/1572042105487360/STEM/084fd9de96734aa1883b1e561a462891.png?resizew=17)
![](https://img.xkw.com/dksih/QBM/2015/3/27/1572042099597312/1572042105487360/STEM/5cdeda5bf2a44e4da9930b74832f52e4.png?resizew=16)
![](https://img.xkw.com/dksih/QBM/2015/3/27/1572042099597312/1572042105487360/STEM/82011d940d8742438191125312dc4a9d.png?resizew=25)
![](https://img.xkw.com/dksih/QBM/2015/3/27/1572042099597312/1572042105487360/STEM/bf2f71012381478f970960b0874d7e7c.png?resizew=48)
![](https://img.xkw.com/dksih/QBM/2015/3/27/1572042099597312/1572042105487360/STEM/69ad07c9cbe54142adea252e981578ce.png?resizew=27)
![](https://img.xkw.com/dksih/QBM/2015/3/27/1572042099597312/1572042105487360/STEM/5cdeda5bf2a44e4da9930b74832f52e4.png?resizew=16)
![](https://img.xkw.com/dksih/QBM/2015/3/27/1572042099597312/1572042105487360/STEM/b5b735a255c942a68849d31b03921028.png?resizew=16)
![](https://img.xkw.com/dksih/QBM/2015/3/27/1572042099597312/1572042105487360/STEM/539f8fbec7d84c5d96b3eca74ec7afe4.png?resizew=28)
![](https://img.xkw.com/dksih/QBM/2015/3/27/1572042099597312/1572042105487360/STEM/c4fa0736a0254bda9602157787cf0680.png?resizew=17)
![](https://img.xkw.com/dksih/QBM/2015/3/27/1572042099597312/1572042105487360/STEM/c4fef0bb0db64be5b62eb98e1083c91f.png?resizew=71)
![](https://img.xkw.com/dksih/QBM/2015/3/27/1572042099597312/1572042105487360/STEM/b3c00a114eb941309d58a40ce3f085a0.png?resizew=21)
![](https://img.xkw.com/dksih/QBM/2015/3/27/1572042099597312/1572042105487360/STEM/5cdeda5bf2a44e4da9930b74832f52e4.png?resizew=16)
![](https://img.xkw.com/dksih/QBM/2015/3/27/1572042099597312/1572042105487360/STEM/9ce1726bf1e5453892d88daf58a379b7.png?resizew=84)
![](https://img.xkw.com/dksih/QBM/2015/3/27/1572042099597312/1572042105487360/STEM/d2947fe9e6024f20b15951dac51e0253.png?resizew=76)
![](https://img.xkw.com/dksih/QBM/2015/3/27/1572042099597312/1572042105487360/STEM/6842c426cb3746249ea99a113123e988.png?resizew=141)
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13-14高一·全国·课后作业
8 . 如图,⊙O是△ABC的内切圆,切点分别是D、E、F,已知∠A=100°,∠C=30°,则∠DFE的度数是
![](https://img.xkw.com/dksih/QBM/2014/12/2/1571908287823872/1571908293402624/STEM/5b315342-db3c-49c8-afb9-2b4be5449916.png?resizew=276)
![](https://img.xkw.com/dksih/QBM/2014/12/2/1571908287823872/1571908293402624/STEM/5b315342-db3c-49c8-afb9-2b4be5449916.png?resizew=276)
A.55° | B.60° | C.65° | D.70° |
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2014高三·全国·专题练习
名校
9 . 已知直线2x-my+1-3m=0,当m变动时,所有直线都通过定点
A.(-![]() | B.(![]() | C.(![]() | D.(-![]() |
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2016-12-03更新
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2740次组卷
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9卷引用:章末检测3(课后作业)-2018-2019版数学创新设计课堂讲义同步系列(人教A版必修2)
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