10-11高二下·海南·期末
1 . 如图,锐角三角形ABC中,以BC为直径的半圆分别交AB、AC于点D、E,则△ADE与△ABC的面积之比为
![](https://img.xkw.com/dksih/QBM/2014/12/2/1571908314890240/1571908320280576/STEM/947f4e7e58ec42f2831e1a436e813735.png)
![](https://img.xkw.com/dksih/QBM/2014/12/2/1571908314890240/1571908320280576/STEM/947f4e7e58ec42f2831e1a436e813735.png)
A.cosA | B.sinA | C.sin2A | D.cos2A |
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2 . 如图,平行四边形
中,![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5c32ffe9f4c7aab691c39afda34ea234.png)
![](https://img.xkw.com/dksih/QBM/2016/9/27/1573043061161984/1573043066691584/STEM/752ec46e53c742fba63530ebf1934aff.png)
(Ⅰ)求
与
的周长比;
(Ⅱ)如果
的面积等于
,求
的面积.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/411b38a18046fea8e9fab1f9f9b80a5f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5c32ffe9f4c7aab691c39afda34ea234.png)
![](https://img.xkw.com/dksih/QBM/2016/9/27/1573043061161984/1573043066691584/STEM/752ec46e53c742fba63530ebf1934aff.png)
(Ⅰ)求
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/425e79e4e7c13e2ea8ae3d4f8d31ac33.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/cc947a236aa4724f84ffef51b388a6e9.png)
(Ⅱ)如果
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/425e79e4e7c13e2ea8ae3d4f8d31ac33.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a75b37405257ec8bd40ef31002d93a55.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/cc947a236aa4724f84ffef51b388a6e9.png)
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10-11高二下·海南·期末
3 . 如图,
切⊙O于点
为
的中点,过点
引割线交⊙O于
、
两点.求证:
.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/bd33764ff4efddfe11a98a609753715c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/65436512ecbaefba4ac8123c55094211.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/bd33764ff4efddfe11a98a609753715c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8455657dde27aabe6adb7b188e031c11.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7f9e8449aad35c5d840a3395ea86df6d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c5db41a1f31d6baee7c69990811edb9f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/35b1ffac8ffc5f37b96668839083a2b6.png)
![](https://img.xkw.com/dksih/QBM/2011/7/26/1570273735401472/1570273740816384/STEM/8f89c817d214462e9ac15a700a62071f.png)
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4 . 如图,已知⊙O的割线PAB交⊙O于A,B两点,割线PCD经过圆心,若PA=3,AB=4,PO=5,则⊙O的半径为______________ .
![](https://img.xkw.com/dksih/QBM/2011/7/26/1570273735401472/1570273740726272/STEM/5abf0315-f664-40fa-b482-652c703f5e02.png)
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5 .
在⊙O外,
切⊙O于
,
交⊙O于
、
,则
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dad2a36927223bd70f426ba06aea4b45.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/48f3c9abbd78e9a6840ee5f30381daac.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c5db41a1f31d6baee7c69990811edb9f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1e582d73b96ba649378379c3074d506d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5963abe8f421bd99a2aaa94831a951e9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7f9e8449aad35c5d840a3395ea86df6d.png)
A.![]() | B.![]() | C.![]() | D.![]() |
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6 . 如图,
是半圆
的直径,点
在半圆上,
于点
,且
,设
,则
=
![](https://img.xkw.com/dksih/QBM/2011/7/16/1570262382518272/1570262387662848/STEM/03e3d6328b1e487da128159725b54332.png)
![](https://img.xkw.com/dksih/QBM/2011/7/16/1570262382518272/1570262387662848/STEM/8be9c76e39ac4191a5ac12207591942f.png)
![](https://img.xkw.com/dksih/QBM/2011/7/16/1570262382518272/1570262387662848/STEM/7b5bcfe4233048599314efc68e800143.png)
![](https://img.xkw.com/dksih/QBM/2011/7/16/1570262382518272/1570262387662848/STEM/399d39e241554abcb36f3e1b83ee1017.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/971cd0358b49f1661adc674801bd6ecb.png)
![](https://img.xkw.com/dksih/QBM/2011/7/16/1570262382518272/1570262387662848/STEM/76860b20b46948f3b19fee3ab7593a01.png)
![](https://img.xkw.com/dksih/QBM/2011/7/16/1570262382518272/1570262387662848/STEM/be253aabab5149a7982631cecb2dc338.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0784827daa1e4dbadb6c3c0c7e6c73c1.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/45b33a8e9a0071cef5414525c6fe45ef.png)
![](https://img.xkw.com/dksih/QBM/2011/7/16/1570262382518272/1570262387662848/STEM/03e3d6328b1e487da128159725b54332.png)
A.![]() | B.![]() | C.![]() | D.![]() |
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10-11高二下·海南·期末
7 . 如图,PAB,PCD是
的割线,PQ是
的切线,连接AC,AD,若∠PAC=∠BAD.
![](https://img.xkw.com/dksih/QBM/2011/4/18/1570122042114048/1570122047488000/STEM/fd8b06feca6f424c833de1f636f42379.png?resizew=218)
求证:
(1)PA·PB=AC·AD;
(2)
.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3d97cdc586744d208b6f69c9813af977.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3d97cdc586744d208b6f69c9813af977.png)
![](https://img.xkw.com/dksih/QBM/2011/4/18/1570122042114048/1570122047488000/STEM/fd8b06feca6f424c833de1f636f42379.png?resizew=218)
求证:
(1)PA·PB=AC·AD;
(2)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/efaed3417c545c5f51db5b81e4af985c.png)
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10-11高二下·海南·期末
8 . 如图:
为
的外接圆,
,过点
的直线交
于
,交
延长线于
,
是
的延长线,连接
.
![](https://img.xkw.com/dksih/QBM/2011/4/18/1570122042114048/1570122047381504/STEM/4477dad8d0c549489597dd2fee3dbd7f.png?resizew=180)
① 求证:
;
②求证:
.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3d97cdc586744d208b6f69c9813af977.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0faed94a64b2dcfc6801b4fca0f16675.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/047dc9795efa99b6fb9fdf9778085dab.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5963abe8f421bd99a2aaa94831a951e9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3d97cdc586744d208b6f69c9813af977.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8455657dde27aabe6adb7b188e031c11.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0dc5c9827dfd0be5a9c85962d6ccbfb1.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a0ed1ec316bc54c37c4286c208f55667.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e6e490f703eb6c9bb1278c78ebc2d661.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d40b319212a7e7528b053e1c7097e966.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9d78abbad68bbbf12af10cd40ef4c353.png)
![](https://img.xkw.com/dksih/QBM/2011/4/18/1570122042114048/1570122047381504/STEM/4477dad8d0c549489597dd2fee3dbd7f.png?resizew=180)
① 求证:
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/14072216fabe3e325e8f0da087239b1e.png)
②求证:
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/607b3dca43bf4454f1ec2661f722f8f2.png)
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10-11高二下·海南·期末
9 . 如图,A点是半圆上一个三等分点,B点是
的中点,P是直径MN上一动点,圆的半径为1,则PA+PB的最小值为___________ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/87f40e86b2e370f43e6ee6e7cfffadf0.png)
![](https://img.xkw.com/dksih/QBM/2011/4/18/1570122042114048/1570122047332352/STEM/999bafbceab14ae388ffce7b197069ad.png?resizew=124)
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