1 . 如图,已知
点在
直径
的延长线上,
切
于
点,
是
的平分线,交
于
点,交
于
点.
![](https://img.xkw.com/dksih/QBM/2016/6/7/1572694402228224/1572694408273920/STEM/7df3a60fa4ca4c2d9920691a3efc6bba.png)
(1)求证:
;
(2)若
,求
的值.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8455657dde27aabe6adb7b188e031c11.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/67d822262ff00915910e5b87d81ad1ba.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/67d822262ff00915910e5b87d81ad1ba.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e6e490f703eb6c9bb1278c78ebc2d661.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/67d822262ff00915910e5b87d81ad1ba.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a0ed1ec316bc54c37c4286c208f55667.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/60ef95894ceebaf236170e8832dcf7e3.png)
![](https://img.xkw.com/dksih/QBM/2016/6/7/1572694402228224/1572694408273920/STEM/67d19633adf1416c8374e9bc6c8ea99d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f52a58fbaf4fea03567e88a9f0f6e37e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2a30f3a8b673cc28bd90c50cf1a35281.png)
![](https://img.xkw.com/dksih/QBM/2016/6/7/1572694402228224/1572694408273920/STEM/bef6c7701cf04991858bb2a2190e50a2.png)
![](https://img.xkw.com/dksih/QBM/2016/6/7/1572694402228224/1572694408273920/STEM/fda2548212b14e7cacc509b37cb2eaf4.png)
![](https://img.xkw.com/dksih/QBM/2016/6/7/1572694402228224/1572694408273920/STEM/7df3a60fa4ca4c2d9920691a3efc6bba.png)
(1)求证:
![](https://img.xkw.com/dksih/QBM/2016/6/7/1572694402228224/1572694408273920/STEM/60e2f98d43db47bdaf81c7a37ac8b05f.png)
(2)若
![](https://img.xkw.com/dksih/QBM/2016/6/7/1572694402228224/1572694408273920/STEM/fdaf6b8cb1d849abb7587911176adb27.png)
![](https://img.xkw.com/dksih/QBM/2016/6/7/1572694402228224/1572694408273920/STEM/ca197f2cc8b047a09763a31daf3687c0.png)
您最近一年使用:0次
2 . 如图,已知
是⊙
的直径,
是⊙
的弦,
的平分线
交⊙
于
,过点
作
交
的延长线于点
,
交
于点
.若
,求
的值.
![](https://img.xkw.com/dksih/QBM/2016/6/1/1572683725635584/1572683731976192/STEM/39dad1e4dd9846d1be8ed2177299a9ea.png)
![](https://img.xkw.com/dksih/QBM/2016/6/1/1572683725635584/1572683731976192/STEM/17389ff5a5d34160b0b0068b05e94617.png)
![](https://img.xkw.com/dksih/QBM/2016/6/1/1572683725635584/1572683731976192/STEM/f2c9c2cce12648fa880e9320f440d811.png)
![](https://img.xkw.com/dksih/QBM/2016/6/1/1572683725635584/1572683731976192/STEM/17389ff5a5d34160b0b0068b05e94617.png)
![](https://img.xkw.com/dksih/QBM/2016/6/1/1572683725635584/1572683731976192/STEM/7d5a06b88c8c4788a81c68259bf8a910.png)
![](https://img.xkw.com/dksih/QBM/2016/6/1/1572683725635584/1572683731976192/STEM/c045b962a154486cbb3f532acf127d72.png)
![](https://img.xkw.com/dksih/QBM/2016/6/1/1572683725635584/1572683731976192/STEM/17389ff5a5d34160b0b0068b05e94617.png)
![](https://img.xkw.com/dksih/QBM/2016/6/1/1572683725635584/1572683731976192/STEM/ef95d059031742d1bd67605da6855272.png)
![](https://img.xkw.com/dksih/QBM/2016/6/1/1572683725635584/1572683731976192/STEM/ef95d059031742d1bd67605da6855272.png)
![](https://img.xkw.com/dksih/QBM/2016/6/1/1572683725635584/1572683731976192/STEM/980927db1f3642d6a14de29f47fff9cf.png)
![](https://img.xkw.com/dksih/QBM/2016/6/1/1572683725635584/1572683731976192/STEM/f2c9c2cce12648fa880e9320f440d811.png)
![](https://img.xkw.com/dksih/QBM/2016/6/1/1572683725635584/1572683731976192/STEM/7b28e62db1ab4e6fa0b47744f4a9f1b5.png)
![](https://img.xkw.com/dksih/QBM/2016/6/1/1572683725635584/1572683731976192/STEM/3d98dfecdb074cf4832294d82a3dac1a.png)
![](https://img.xkw.com/dksih/QBM/2016/6/1/1572683725635584/1572683731976192/STEM/c045b962a154486cbb3f532acf127d72.png)
![](https://img.xkw.com/dksih/QBM/2016/6/1/1572683725635584/1572683731976192/STEM/d0ce3831c0fe48a9a4b79396e57cc472.png)
![](https://img.xkw.com/dksih/QBM/2016/6/1/1572683725635584/1572683731976192/STEM/5b0ba7a4706b41e6b668427e1c58717c.png)
![](https://img.xkw.com/dksih/QBM/2016/6/1/1572683725635584/1572683731976192/STEM/34fc15765e3e4abdb219c8b277616af6.png)
![](https://img.xkw.com/dksih/QBM/2016/6/1/1572683725635584/1572683731976192/STEM/b9a062a92050442dbbc88eb075257991.png)
您最近一年使用:0次
2016-12-04更新
|
405次组卷
|
2卷引用:2016届海南省海南中学高考模拟九理科数学试卷
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,
是圆
的直径,
是圆
上两点,
与
相交于点
,
,
是圆
的切线,点
在
的延长线上,且
.求证:
![](https://img.xkw.com/dksih/QBM/editorImg/2022/8/3/ba1427b3-a8d2-411d-a18d-702ae388248c.png?resizew=147)
(1)
四点共圆;
(2)
.
如图,
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f52a58fbaf4fea03567e88a9f0f6e37e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1dde8112e8eb968fd042418dd632759e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/39acab3cfb59bfc9591371721ab01d93.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1dde8112e8eb968fd042418dd632759e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/60ef95894ceebaf236170e8832dcf7e3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d40b319212a7e7528b053e1c7097e966.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2a30f3a8b673cc28bd90c50cf1a35281.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f8e5f736b1195fef1d2d300168a795f1.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ce8f887360a533f0a25b0b34fb11f0a1.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1dde8112e8eb968fd042418dd632759e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a0ed1ec316bc54c37c4286c208f55667.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1e72b2e1ff83e95df048745322982451.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/fbaa12e10837b302535b3331f08b2495.png)
![](https://img.xkw.com/dksih/QBM/editorImg/2022/8/3/ba1427b3-a8d2-411d-a18d-702ae388248c.png?resizew=147)
(1)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c54583088b8451cdc5ae13b739a8eebb.png)
(2)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/90dfb0a85bb6aee4a1d8fc1abad4eecb.png)
您最近一年使用:0次
2016-12-03更新
|
338次组卷
|
3卷引用:2015届海南省高三5月模拟文科数学试卷
5 . 选修4—1:几何证明选讲
如图,AB是
的直径,弦BD、CA的延长线相交于点E,F为BA延长线上一点,且
,求证:
![](https://img.xkw.com/dksih/QBM/2015/6/15/1572124333285376/1572124339879936/STEM/6aaa1a8144514f609e6c46244bcb98ca.png)
(1)
;
(2)
.
如图,AB是
![](https://img.xkw.com/dksih/QBM/2015/6/15/1572124333285376/1572124339879936/STEM/0b35f0ca5c7f42499290426caf20727c.png)
![](https://img.xkw.com/dksih/QBM/2015/6/15/1572124333285376/1572124339879936/STEM/043e8b161a544968bf12a2e3696c9d54.png)
![](https://img.xkw.com/dksih/QBM/2015/6/15/1572124333285376/1572124339879936/STEM/6aaa1a8144514f609e6c46244bcb98ca.png)
(1)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a43f790457e28ec7a918e4352eaf81df.png)
(2)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/990be575bbb0ac644bbb04f23c19ce21.png)
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6 . 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)
您最近一年使用:0次
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
2012·辽宁大连·二模
7 . 已知
为半圆
的直径,
,
为半圆上一点,过点圆的切线
,过
点作
于
,交半圆于点
.
![](https://img.xkw.com/dksih/QBM/2016/1/15/1572438604488704/1572438610206720/STEM/f7850f4104584980a61f7e182b8cd92b.png)
(1)证明:
平分
;
(2)求
的长.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f52a58fbaf4fea03567e88a9f0f6e37e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1dde8112e8eb968fd042418dd632759e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3d2c15801fee2405573677484f5dcfa4.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c5db41a1f31d6baee7c69990811edb9f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9d78abbad68bbbf12af10cd40ef4c353.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5963abe8f421bd99a2aaa94831a951e9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/96dae94a9c26b6dd1dbcdebd20373033.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8455657dde27aabe6adb7b188e031c11.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4a7b783dc89ca6934572319d2e9dfd22.png)
![](https://img.xkw.com/dksih/QBM/2016/1/15/1572438604488704/1572438610206720/STEM/f7850f4104584980a61f7e182b8cd92b.png)
(1)证明:
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/60ef95894ceebaf236170e8832dcf7e3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/cd777f9452cb8b56d8a0d3b07d15c19f.png)
(2)求
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0dc5c9827dfd0be5a9c85962d6ccbfb1.png)
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2016-12-03更新
|
694次组卷
|
13卷引用:2016届海南省文昌中学高三上学期期末考试文科数学试卷
2016届海南省文昌中学高三上学期期末考试文科数学试卷(已下线)2012届辽宁省大连市沈阳市高三第二次模拟考试理科数学试卷(已下线)2012届河北省唐山一中高三第一次高考仿真测试文科数学试卷(已下线)2014届云南省红河州高三毕业生复习统一检测理科数学试卷(已下线)2014届云南省红河州高三毕业生复习统一检测文科数学试卷(已下线)2015届河南省八校高三上学期第一次联考理科数学试卷2016届安徽省马鞍山二中等高三第三次联考理科数学试卷2016届安徽省马鞍山二中等高三第三次联考文科数学卷2016届贵州省贵阳市一中高三第四次月考理科数学试卷2016届贵州省贵阳市一中高三第四次月考文科数学试卷2016届宁夏六盘山高级中学高三第一次模拟考试理科数学试卷2016届湖北省襄阳市高三上学期期末理科数学试卷福建省2016届高三毕业班总复习(几何选讲)单元过关形成性测试卷(文理科)数学试题
2010·吉林·二模
8 . 如图,已知⊙O和⊙M相交于A、B两点,AD为⊙M的直径,直线BD交⊙O于点C,点G为
中点,连结AG分别交⊙O、BD于点E、F连结CE.
(1)求证:
;
(2)求证:![](https://img.xkw.com/dksih/QBM/2012/1/11/1570685661339648/1570685666787328/STEM/f10f4538e7b141708014cb5f7bfac446.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/63c5ebc2d5455ceb341d5796acdf63fd.png)
(1)求证:
![](https://img.xkw.com/dksih/QBM/2012/1/11/1570685661339648/1570685666787328/STEM/b35cd86fac924045b3b40ba44021f9fa.png)
(2)求证:
![](https://img.xkw.com/dksih/QBM/2012/1/11/1570685661339648/1570685666787328/STEM/f10f4538e7b141708014cb5f7bfac446.png)
![](https://img.xkw.com/dksih/QBM/2012/1/11/1570685661339648/1570685666787328/STEM/2a6e16d685044044a925a5b080d9318e.png)
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2012·海南省直辖县级单位·一模
9 . 如图设
为线段
中点,
与
交于点
,且
交
于
交
于
.
![](https://img.xkw.com/dksih/QBM/2012/3/20/1570811241472000/1570811247280128/STEM/3bb7730a3928426e89459eab1ee1f473.png?resizew=194)
(1)写出图中三对相似三角形,并对其中一对作出证明;
(2)连结
,设
,求
长.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ac047e91852b91af639feec23a9598b2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f52a58fbaf4fea03567e88a9f0f6e37e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/68a83fdd2ba72a2dba0b6b10bb3e06b9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d40b319212a7e7528b053e1c7097e966.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2be36353f9b1353cb9a38bc26e814521.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/15a424b50eaeafa6f302ffd95476cb86.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/60ef95894ceebaf236170e8832dcf7e3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/32fc65594f2151899374acf2c7cf1a40.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d40b319212a7e7528b053e1c7097e966.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/895dc3dc3a6606ff487a4c4863e18509.png)
![](https://img.xkw.com/dksih/QBM/2012/3/20/1570811241472000/1570811247280128/STEM/3bb7730a3928426e89459eab1ee1f473.png?resizew=194)
(1)写出图中三对相似三角形,并对其中一对作出证明;
(2)连结
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c63e36329f5e0979f5ee776ac5d06327.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/31eee31191f484a7c5b391cde9f19ed2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c63e36329f5e0979f5ee776ac5d06327.png)
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