1 . 在梯形ABCD中,AD∥BC(其中BC>AD)E,F分别是AB,DC的中点,连接EF,且EF交BD于G,交AC于H,则GH等于( )
A.AD | B.![]() |
C.BC | D. ![]() |
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2 . 在正方形ABCD中,点E在AB边上,且AE∶EB=2∶1,AF⊥DE于G,交BC于F,则△AEG的面积与四边形BEGF的面积比为( )
A.1∶2 | B.1∶4 | C.4∶9 | D.2∶3 |
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3 . 如图,在梯形ABCD中,AD∥BC,∠BAD=135°,以A为圆心,AB为半径,作⊙A交AD,BC于E,F两点,并交BA延长线于G,则
的度数是( )
![](https://img.xkw.com/dksih/QBM/2017/8/14/1758848847544320/1815766069657600/STEM/fef47abc3b014559b944de691c6ad521.png?resizew=102)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/129baba55117e8d5523746888024273a.png)
![](https://img.xkw.com/dksih/QBM/2017/8/14/1758848847544320/1815766069657600/STEM/fef47abc3b014559b944de691c6ad521.png?resizew=102)
A.45° | B.60° |
C.90° | D.135° |
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4 . 如图,AB∥EM∥DC,AE=ED,EF∥BC,EF=12 cm,则BC的长为( )
![](https://img.xkw.com/dksih/QBM/2017/8/14/1758848847544320/1815766069534720/STEM/d5c7ca936c0d44e88e0b2320edba922d.png?resizew=105)
![](https://img.xkw.com/dksih/QBM/2017/8/14/1758848847544320/1815766069534720/STEM/d5c7ca936c0d44e88e0b2320edba922d.png?resizew=105)
A.6 cm | B.12 cm | C.18 cm | D.24 cm |
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5 . 在▱ABCD中,E是AD的中点,AC,BD交于O,则与△ABE面积相等的三角形有( )
![](https://img.xkw.com/dksih/QBM/2017/8/14/1758848847544320/1815766069551104/STEM/93885e21ea384a69aed4004484a30c17.png?resizew=104)
![](https://img.xkw.com/dksih/QBM/2017/8/14/1758848847544320/1815766069551104/STEM/93885e21ea384a69aed4004484a30c17.png?resizew=104)
A.5个 | B.6个 |
C.7个 | D.8个 |
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名校
6 . (陕西高考)如图,△ABC中,BC=6,以BC为直径的半圆分别交AB,AC于点E,F,若AC=2AE,则EF=________ .
![](https://img.xkw.com/dksih/QBM/2017/8/14/1758848850362368/1816566449332224/STEM/9a1fb7716a0344a48c78a8c9b1b8b76a.png?resizew=94)
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2017-11-13更新
|
128次组卷
|
2卷引用:2017-2018学年人教版高中数学选修4-1:模块综合检测(一)
7 . 如图,在Rt△ABC中,∠C=90°,以BC为直径作半圆交AB于D,过D作半圆的切线交AC于E,若AD=2,DB=4,则DE=________ .
![](https://img.xkw.com/dksih/QBM/2017/8/14/1758848847544320/1815766069739520/STEM/33104165f5224970935a97ce22a0ad16.png?resizew=107)
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8 . 如图,△ABC是圆O的内接三角形,PA是圆O的切线,A为切点,PB交AC于点E,交圆O于点D,若PE=PA,∠ABC=60°,且PD=1,BD=8,则AC=________ .
![](https://img.xkw.com/dksih/QBM/2017/8/14/1758848847544320/1815766069764096/STEM/c83a1509823e4701b3350072c59b50ed.png?resizew=121)
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9 . 如图,在矩形ABCD中,以A为圆心,AD为半径的圆交AC,AB于M,E.CE的延长线交⊙A于F,CM=2,AB=4.
(1)求⊙A的半径;
(2)求CE的长和△AFC的面积
(1)求⊙A的半径;
(2)求CE的长和△AFC的面积
![](https://img.xkw.com/dksih/QBM/2017/8/14/1758848847544320/1815766069829632/STEM/c768c19f4c5744f695642a990839e958.png?resizew=98)
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10 . 如图所示,两圆内切于点T,大圆的弦AB切小圆于点C.TA,TB与小圆分别相交于点E,F.FE的延长线交两圆的公切线TP于点P.
求证:(1)
=
;
(2)AC·PF=BC·PT.
求证:(1)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8192018a58bb1fe23769a48a4d9042ed.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/44635d621f25efe7ae6cd574ac480212.png)
(2)AC·PF=BC·PT.
![](https://img.xkw.com/dksih/QBM/2017/8/14/1758848847544320/1815766069805056/STEM/a7dc886d77bf4149b463c8e7e05ba02c.png?resizew=95)
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