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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3 . 选修4-1:几何证明选讲
已知:如图圆
的两条弦
,以
为切点的切线交
延长线于
.
![](https://img.xkw.com/dksih/QBM/2016/5/31/1572673995808768/1572674001846272/STEM/b8791aa72df240b78a42a804ae03dd88.png)
求证:(1)
;
(2)
.
已知:如图圆
![](https://img.xkw.com/dksih/QBM/2016/5/31/1572673995808768/1572674001846272/STEM/6da369f4367a4f879a6f73b59d7c3087.png)
![](https://img.xkw.com/dksih/QBM/2016/5/31/1572673995808768/1572674001846272/STEM/d33369b0ea9d4a5ab30df1d21c1a830e.png)
![](https://img.xkw.com/dksih/QBM/2016/5/31/1572673995808768/1572674001846272/STEM/e1c287a495014deaa656910916bd2df4.png)
![](https://img.xkw.com/dksih/QBM/2016/5/31/1572673995808768/1572674001846272/STEM/fce60db9feef4f21b1058cef026238bd.png)
![](https://img.xkw.com/dksih/QBM/2016/5/31/1572673995808768/1572674001846272/STEM/a847d8fdbfe349e8ab84666ac86c4747.png)
![](https://img.xkw.com/dksih/QBM/2016/5/31/1572673995808768/1572674001846272/STEM/b8791aa72df240b78a42a804ae03dd88.png)
求证:(1)
![](https://img.xkw.com/dksih/QBM/2016/5/31/1572673995808768/1572674001846272/STEM/127186e368e940cba71fae274424f1d4.png)
(2)
![](https://img.xkw.com/dksih/QBM/2016/5/31/1572673995808768/1572674001846272/STEM/bc68d95932cb46b5b83b6408cca56176.png)
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4 . 选修4—1:几何证明选讲
如图,AB是⊙O的直径,AC是⊙O的一条弦,∠BAC的平分线AD交⊙O于点D,DE
AC,且DE交AC的延长线于点E,OE交AD于点F.
![](https://img.xkw.com/dksih/QBM/2015/11/25/1572307749904384/1572307755728896/STEM/0b15b84a839740658189c86be2110da3.png)
(Ⅰ)求证:DE是⊙O的切线;
(Ⅱ)若
,求
的值.
如图,AB是⊙O的直径,AC是⊙O的一条弦,∠BAC的平分线AD交⊙O于点D,DE
![](https://img.xkw.com/dksih/QBM/2015/11/25/1572307749904384/1572307755728896/STEM/49e0a96426ed4d6589dd76ef7cb449f5.png)
![](https://img.xkw.com/dksih/QBM/2015/11/25/1572307749904384/1572307755728896/STEM/0b15b84a839740658189c86be2110da3.png)
(Ⅰ)求证:DE是⊙O的切线;
(Ⅱ)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/faf253af4f8c82dad9e17ec2eae47346.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/929e72e9d26c3bda1fba680ca48cd95d.png)
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2016-12-03更新
|
342次组卷
|
2卷引用:2015届海南省嘉积中学高三下学期大测三文科数学试卷
5 . 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
6 . 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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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,正方形ABCD中,E是AB上任一点,作EF⊥BD于F,则EF︰BE=( )
![](https://img.xkw.com/dksih/QBM/2011/4/18/1570122042114048/1570122047234048/STEM/c8e7906236ea46d79e6b76ace0826b88.png?resizew=84)
![](https://img.xkw.com/dksih/QBM/2011/4/18/1570122042114048/1570122047234048/STEM/c8e7906236ea46d79e6b76ace0826b88.png?resizew=84)
A.![]() | B.![]() | C.![]() | D.![]() |
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