1 . 在平面直角坐标系中,曲线
坐标轴的交点都在圆C上,
(1)求圆C的方程;
(2)如果圆C与直线
交于A,B两点,且
,求
的值.
![](https://img.xkw.com/dksih/QBM/2011/6/16/1570241138696192/1570241143767040/STEM/f4e5a37baf094cbdb6b494123957b6f6.png)
(1)求圆C的方程;
(2)如果圆C与直线
![](https://img.xkw.com/dksih/QBM/2011/6/16/1570241138696192/1570241143767040/STEM/32aeb8cfa20c4c9bb4659eebdf3f5ba3.png)
![](https://img.xkw.com/dksih/QBM/2011/6/16/1570241138696192/1570241143767040/STEM/b89e2ca6cdf04e73b0212992e49707be.png)
![](https://img.xkw.com/dksih/QBM/2011/6/16/1570241138696192/1570241143767040/STEM/01e92a2909d54312a9d555400e76a8e9.png)
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真题
2 . 选修4—1:几何证明选讲 如图,直线AB为圆的切线,切点为B,点C在圆上,∠ABC的角平分线BE交圆于点E,DB垂直BE交圆于D.
![](https://img.xkw.com/dksih/QBM/editorImg/2022/12/1/5365865e-1cc9-47a2-9e47-f3464ca9a3c5.png?resizew=160)
(Ⅰ)证明:DB=DC;
(Ⅱ)设圆的半径为1,BC=
,延长CE交AB于点F,求△BCF外接圆的半径.
![](https://img.xkw.com/dksih/QBM/editorImg/2022/12/1/5365865e-1cc9-47a2-9e47-f3464ca9a3c5.png?resizew=160)
(Ⅰ)证明:DB=DC;
(Ⅱ)设圆的半径为1,BC=
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a7ffe8515ff6183c1c7775dc6f94bdb8.png)
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2019-01-30更新
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3930次组卷
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12卷引用:2013年全国普通高等学校招生统一考试理科数学(新课标1卷)
2013年全国普通高等学校招生统一考试理科数学(新课标1卷)2013年全国普通高等学校招生统一考试文科数学(新课标1卷)(已下线)2014年高考数学文二轮专题复习与测试选修4-1几何证明选讲练习卷(已下线)2014届甘肃省兰州一中高考模拟一理科数学试卷(已下线)2014届甘肃省兰州一中高考模拟一文科数学试卷2015届黑龙江省哈尔滨六中高三上学期期末考试理科数学试卷2015届江西省吉安市第一中学高三上学期第二次阶段考试文科数学试卷2015届陕西省西安长安区一中高三上学期第三次质检理科数学卷2015届陕西省西安长安区一中高三上学期第三次质检文科数学卷2016届甘肃省会宁县一中高三上第四次月考理科数学试卷2016届湖北省宜昌市一中高三上学期12月月考数学试卷河北省武邑中学2017届高三下学期第一次质检考试数学(文)试题
真题
3 . 如图所示,过
外一点
作一条直线与
交于
,
两点,已知
,点
到
的切线长
,则弦
的长为_______ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3d97cdc586744d208b6f69c9813af977.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dad2a36927223bd70f426ba06aea4b45.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3d97cdc586744d208b6f69c9813af977.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5963abe8f421bd99a2aaa94831a951e9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7f9e8449aad35c5d840a3395ea86df6d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0b80ee363635d73f601654339028daec.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dad2a36927223bd70f426ba06aea4b45.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3d97cdc586744d208b6f69c9813af977.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f5fca8c94add435f4aefb933ffe55a01.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f52a58fbaf4fea03567e88a9f0f6e37e.png)
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真题
4 . 如图,圆O的半径为2,AB为圆O的直径,P为AB延长线上一点,过P作圆O的切线,切点为C.若
,求 BC 的长.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b1720da6d65e7fa854d98322d3864240.png)
![](https://img.xkw.com/dksih/QBM/2018/6/10/1964174441160704/1964226082103296/STEM/802ce7143149431db5f9980f3b7a72ad.png?resizew=202)
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真题
5 . 【选修4-1:几何证明选讲】
如图,AB为半圆O的直径,直线PC切半圆O于点C,AP⊥PC,P为垂足.
![](https://img.xkw.com/dksih/QBM/2017/8/7/1746946785624064/1747038148124672/STEM/f4e217c9aa914eff8ada98e8c8c22b1b.png?resizew=219)
求证:(1)∠PAC=∠CAB;
(2)AC2 =AP·AB
如图,AB为半圆O的直径,直线PC切半圆O于点C,AP⊥PC,P为垂足.
![](https://img.xkw.com/dksih/QBM/2017/8/7/1746946785624064/1747038148124672/STEM/f4e217c9aa914eff8ada98e8c8c22b1b.png?resizew=219)
求证:(1)∠PAC=∠CAB;
(2)AC2 =AP·AB
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真题
6 . 选修4-1:几何证明选讲
如图,⊙O中
的中点为
,弦
分别交
于
两点.
![](https://img.xkw.com/dksih/QBM/2016/7/11/1572902039732224/1572902045761536/STEM/f3c0f5c9555f4324b3b4fe77611f6572.png)
(Ⅰ)若
,求
的大小;
(Ⅱ)若
的垂直平分线与
的垂直平分线交于点
,证明
.
如图,⊙O中
![](https://img.xkw.com/dksih/QBM/2016/7/11/1572902039732224/1572902045761536/STEM/5f86781ac6024a009a02c6c2e93d8460.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/895dc3dc3a6606ff487a4c4863e18509.png)
![](https://img.xkw.com/dksih/QBM/2016/7/11/1572902039732224/1572902045761536/STEM/49af4931143048fe8967ffe093775d8f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1fc56c77464a17a1e97b568762a3e2c6.png)
![](https://img.xkw.com/dksih/QBM/2016/7/11/1572902039732224/1572902045761536/STEM/f0e7592b5bcf4598992d518f3d382729.png)
![](https://img.xkw.com/dksih/QBM/2016/7/11/1572902039732224/1572902045761536/STEM/f3c0f5c9555f4324b3b4fe77611f6572.png)
(Ⅰ)若
![](https://img.xkw.com/dksih/QBM/2016/7/11/1572902039732224/1572902045761536/STEM/c4c69a8c0e044799b112dde2c63f2f8e.png)
![](https://img.xkw.com/dksih/QBM/2016/7/11/1572902039732224/1572902045761536/STEM/7c68630aee484755a2a519a0a1354e7f.png)
(Ⅱ)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/00bab17635a999236e8d2e35017a208d.png)
![](https://img.xkw.com/dksih/QBM/2016/7/11/1572902039732224/1572902045761536/STEM/64453e2cad8447638089928897e298be.png)
![](https://img.xkw.com/dksih/QBM/2016/7/11/1572902039732224/1572902045761536/STEM/7fa8c716f83a43c6849ca1dc89edce4f.png)
![](https://img.xkw.com/dksih/QBM/2016/7/11/1572902039732224/1572902045761536/STEM/a9e4151530454a0a959cbee0db81e47a.png)
您最近一年使用:0次
真题
7 . 如图,已知AB是圆O的直径,AB=4,EC是圆O的切线,切点为C,BC=1.过圆心O作BC的平行线,分别交EC和AC于D和点P,则OD=_________ .
![](https://img.xkw.com/dksih/QBM/2015/6/25/1572144872194048/1572144878018560/STEM/ed7e04baa24b4b8aa64e4d12bdfb3c86.png?resizew=206)
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真题
8 . 选修4-1:几何证明选讲
如图AB是
直径,AC是
切线,BC交
与点E.
![](https://img.xkw.com/dksih/QBM/2015/6/24/1572143053012992/1572143059132416/STEM/4728723fed18470d84dbc7e44107ef4f.png)
(Ⅰ)若D为AC中点,求证:DE是
切线;
(Ⅱ)若
,求
的大小.
如图AB是
![](https://img.xkw.com/dksih/QBM/2015/6/24/1572143053012992/1572143059132416/STEM/f611407c50d540ad9104c02c63aee4ba.png)
![](https://img.xkw.com/dksih/QBM/2015/6/24/1572143053012992/1572143059132416/STEM/f611407c50d540ad9104c02c63aee4ba.png)
![](https://img.xkw.com/dksih/QBM/2015/6/24/1572143053012992/1572143059132416/STEM/f611407c50d540ad9104c02c63aee4ba.png)
![](https://img.xkw.com/dksih/QBM/2015/6/24/1572143053012992/1572143059132416/STEM/4728723fed18470d84dbc7e44107ef4f.png)
(Ⅰ)若D为AC中点,求证:DE是
![](https://img.xkw.com/dksih/QBM/2015/6/24/1572143053012992/1572143059132416/STEM/f611407c50d540ad9104c02c63aee4ba.png)
(Ⅱ)若
![](https://img.xkw.com/dksih/QBM/2015/6/24/1572143053012992/1572143059132416/STEM/67dc69fe27884a1a8ff1aaa71bdd61c7.png)
![](https://img.xkw.com/dksih/QBM/2015/6/24/1572143053012992/1572143059132416/STEM/ce093531127143b1baddcccf84486568.png)
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真题
9 . 选修4-1:几何证明选讲
如图,四边形
是
的内接四边形,
的延长线与
的延长线交于点
,且
.
![](https://img.xkw.com/dksih/QBM/editorImg/2022/11/25/2cdf84d7-397f-4806-9471-3416369c49b4.png?resizew=153)
(Ⅰ)证明:
;
(Ⅱ)设
不是
的直径,
的中点为
,且
,证明:
为等边三角形.
如图,四边形
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/411b38a18046fea8e9fab1f9f9b80a5f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f52a58fbaf4fea03567e88a9f0f6e37e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9e52a8f07834cbbbe4224962672fbbb2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/03902478df1a55bc99703210bccab910.png)
![](https://img.xkw.com/dksih/QBM/2014/6/23/1571790230437888/1571790236270592/STEM/dfddb86af76746d3aa8ede3e530fd59c.png)
![](https://img.xkw.com/dksih/QBM/2014/6/23/1571790230437888/1571790236270592/STEM/7d7325a852d345d09cb5dc1a8edcc28d.png)
![](https://img.xkw.com/dksih/QBM/editorImg/2022/11/25/2cdf84d7-397f-4806-9471-3416369c49b4.png?resizew=153)
(Ⅰ)证明:
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5cead256658d6f874b3b298f8dd2c055.png)
(Ⅱ)设
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/03902478df1a55bc99703210bccab910.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f52a58fbaf4fea03567e88a9f0f6e37e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/03902478df1a55bc99703210bccab910.png)
![](https://img.xkw.com/dksih/QBM/2014/6/23/1571790230437888/1571790236270592/STEM/f72c0797b04e4981851a6c25dbf794b3.png)
![](https://img.xkw.com/dksih/QBM/2014/6/23/1571790230437888/1571790236270592/STEM/b6954602407b4230815312d8a1a0145c.png)
![](https://img.xkw.com/dksih/QBM/2014/6/23/1571790230437888/1571790236270592/STEM/b288f459be7d45d188beb718a3ba6f00.png)
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真题
10 . 如图,D,E分别是△ABC边AB,AC的中点,直线DE交△ABC的外接圆与F,G两点,若CF∥AB,证明:
![](https://img.xkw.com/dksih/QBM/editorImg/2022/12/3/c158affd-4ff1-4bd7-a0a6-c94cfc493fac.png?resizew=140)
(Ⅰ) CD=BC;
(Ⅱ)△BCD∽△GBD.
【命题意图】本题主要考查线线平行判定、三角形相似的判定等基础知识,是简单题.
![](https://img.xkw.com/dksih/QBM/editorImg/2022/12/3/c158affd-4ff1-4bd7-a0a6-c94cfc493fac.png?resizew=140)
(Ⅰ) CD=BC;
(Ⅱ)△BCD∽△GBD.
【命题意图】本题主要考查线线平行判定、三角形相似的判定等基础知识,是简单题.
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