名校
1 . 如图所示,已知直线
的方程为
,⊙
,⊙
是相外切的等圆.且分别与坐标轴及线段
相切,
,则两圆半径![](https://staticzujuan.xkw.com/quesimg/Upload/formula/258e40e3883271c3580c1d3c805dcac6.png)
__________ (用常数
表示).
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f52a58fbaf4fea03567e88a9f0f6e37e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/89f6e613ffa032e7e893daa1970d3948.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c5db41a1f31d6baee7c69990811edb9f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8455657dde27aabe6adb7b188e031c11.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f52a58fbaf4fea03567e88a9f0f6e37e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4b2bc7331e651f466890b46111b962e8.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/258e40e3883271c3580c1d3c805dcac6.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/76f0649064a085fb74c997fb507a9b6d.png)
![](https://img.xkw.com/dksih/QBM/editorImg/2023/3/1/4c1689d5-6d77-40e0-b08d-9da2426bc4fc.png?resizew=171)
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2018-05-25更新
|
184次组卷
|
2卷引用:【全国百强校】安徽省合肥市第一中学2018冲刺高考最后1卷理科数学试卷
2 . 如图,AB为⊙O的直径,BD是⊙O的切线,连接AD交⊙O于E,若BD∥CE,AB交CE于M,求证:
.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6e4b0311cb57d78f465a57dc7f26353c.png)
![](https://img.xkw.com/dksih/QBM/2018/12/5/2090404214185984/2094345211813888/STEM/647c1bdc-8188-4995-bad2-424c20db0e6d.png)
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2010高三·全国·专题练习
真题
3 . 如图,△ABC的角平分线AD的延长线交它的外接圆于点![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0e28ce60503fab70ce1797449d90dadc.png)
(Ⅰ)证明:△ABE∽△ADC;
(Ⅱ)若△ABC的面积
,求
的大小.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0e28ce60503fab70ce1797449d90dadc.png)
(Ⅰ)证明:△ABE∽△ADC;
(Ⅱ)若△ABC的面积
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ec4fccf16c3064c1fe33098ec3e8ae2b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7cbce11aa19b8bd2bf6ee5a834e005de.png)
![](https://img.xkw.com/dksih/QBM/2011/2/25/1570012428500992/1570012433973248/STEM/a38682262ddd43fea44e49fb2f7163c1.png?resizew=152)
您最近一年使用:0次
2016-11-30更新
|
403次组卷
|
9卷引用:2010年普通高等学校招生全国统一考试(辽宁卷)文科数学全解全析
2010年普通高等学校招生全国统一考试(辽宁卷)文科数学全解全析(已下线)2010年高考试题分项版文科数学之专题十七 选修系列(已下线)2011届宁夏贺兰一中高三上学期期末考试数学理卷(已下线)2011-2012学年河南省周口市高二下学期四校第一次联考文科数学试卷(已下线)2013-2014学年河北省石家庄市高二下学期期末考试理科数学试卷2015届甘肃省河西三校普通高中高三上学期第一次联考理科数学试卷2015届甘肃省河西三校普通高中高三上学期第一次联考文科数学试卷2017届广东珠海市高三9月摸底考试数学(理)试卷河南省郑州市巩义中学2019-2020学年高二下学期期中考试数学(文)试题
4 . 如图,已知在△ABC中,AD∶DC=1∶2,E为BD的中点,AE延长线交BC于F,则BF∶FC等于( )
![](https://img.xkw.com/dksih/QBM/2017/8/14/1758848847544320/1815766069714944/STEM/ecf808cfacfc48878ebba8bea49a8e0a.png?resizew=105)
![](https://img.xkw.com/dksih/QBM/2017/8/14/1758848847544320/1815766069714944/STEM/ecf808cfacfc48878ebba8bea49a8e0a.png?resizew=105)
A.1∶5 | B.1∶4 |
C.1∶3 | D.1∶2 |
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5 . D、E、F是△ABC的三边中点,设△DEF的面积为4,△ABC的周长为9,则△DEF的周长与△ABC的面积分别是( )
A. ![]() | B.9,4 |
C. ![]() | D. ![]() |
您最近一年使用:0次
6 . 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 |
您最近一年使用:0次
7 . (选修4-1:几何证明选讲)在圆O中,AB,CD是互相平行的两条弦,直线AE与圆O相切于点A,且与CD的延长线交于点E,求证:AD2=AB·ED.
![](https://img.xkw.com/dksih/QBM/2017/6/1/1699409391165440/1699652214628352/STEM/9743b396f71848a6950fd9e471ee5b55.png?resizew=239)
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2011·陕西西安·一模
8 . 如图,圆
是
的外接圆,过点
的切线交
的延长线于点
,
,则
的长为___________ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1dde8112e8eb968fd042418dd632759e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0faed94a64b2dcfc6801b4fca0f16675.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c5db41a1f31d6baee7c69990811edb9f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f52a58fbaf4fea03567e88a9f0f6e37e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8455657dde27aabe6adb7b188e031c11.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/28af9753d584111338cdce41b77cc13e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/60ef95894ceebaf236170e8832dcf7e3.png)
![](https://img.xkw.com/dksih/QBM/2011/3/1/1570021264982016/1570021270315008/STEM/6ce814197d3342a5883afa9853b94f3b.png?resizew=151)
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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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