名校
1 . 已知函数
.
(1)讨论函数
的单调性;
(2)当
时,证明:
.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2ea1a650ffa47f1f85c45a13acf50c9c.png)
(1)讨论函数
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
(2)当
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/cea4ac187cbb465180e89f38250b3970.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f76ee2d48fe9913fbd8d957b572dc48a.png)
您最近一年使用:0次
2019-08-02更新
|
1397次组卷
|
2卷引用:黑龙江省鹤岗市第一中学2019-2020学年高三上学期10月月考数学(理)试题
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)
您最近一年使用:0次
2019-01-30更新
|
3914次组卷
|
12卷引用: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届黑龙江省哈尔滨六中高三上学期期末考试理科数学试卷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
3 . 如图所示,
为以
为直径的圆
的切线,
为切点,
为圆周上一点,
,直线
交
的延长线于点
.
![](https://img.xkw.com/dksih/QBM/2016/6/1/1572684181446656/1572684187820032/STEM/a4ce8c32f06244e1a15242a05c5f3c2d.png)
(1)求证:直线
是圆
的切线;
(2)若
,
,求线段
的长.
![](https://img.xkw.com/dksih/QBM/2016/6/1/1572684181446656/1572684187820032/STEM/f4d399a4d95f4e4986bc69e8addecbcb.png)
![](https://img.xkw.com/dksih/QBM/2016/6/1/1572684181446656/1572684187820032/STEM/d900b01e8d754989b68e7e5da50ae09a.png)
![](https://img.xkw.com/dksih/QBM/2016/6/1/1572684181446656/1572684187820032/STEM/4796d7d1550545f5841f0c855f935413.png)
![](https://img.xkw.com/dksih/QBM/2016/6/1/1572684181446656/1572684187820032/STEM/1e63e56eea8e48aa93d8b128221a22d6.png)
![](https://img.xkw.com/dksih/QBM/2016/6/1/1572684181446656/1572684187820032/STEM/3fe9e2a5e7bd45349202edeae9b53e05.png)
![](https://img.xkw.com/dksih/QBM/2016/6/1/1572684181446656/1572684187820032/STEM/c9bded80d9854945bb7cc5c935b41258.png)
![](https://img.xkw.com/dksih/QBM/2016/6/1/1572684181446656/1572684187820032/STEM/e2ea61d9b5d34e7a804fb12b7f51d9e7.png)
![](https://img.xkw.com/dksih/QBM/2016/6/1/1572684181446656/1572684187820032/STEM/d900b01e8d754989b68e7e5da50ae09a.png)
![](https://img.xkw.com/dksih/QBM/2016/6/1/1572684181446656/1572684187820032/STEM/6d6708a57d764cb6ae1494818111cfb8.png)
![](https://img.xkw.com/dksih/QBM/2016/6/1/1572684181446656/1572684187820032/STEM/a4ce8c32f06244e1a15242a05c5f3c2d.png)
(1)求证:直线
![](https://img.xkw.com/dksih/QBM/2016/6/1/1572684181446656/1572684187820032/STEM/e2ea61d9b5d34e7a804fb12b7f51d9e7.png)
![](https://img.xkw.com/dksih/QBM/2016/6/1/1572684181446656/1572684187820032/STEM/4796d7d1550545f5841f0c855f935413.png)
(2)若
![](https://img.xkw.com/dksih/QBM/2016/6/1/1572684181446656/1572684187820032/STEM/6e6758e09a3a4ee9a9f59155b6f7a204.png)
![](https://img.xkw.com/dksih/QBM/2016/6/1/1572684181446656/1572684187820032/STEM/390d78d8afa94721bed123c9f813853f.png)
![](https://img.xkw.com/dksih/QBM/2016/6/1/1572684181446656/1572684187820032/STEM/04fd07e407c74c8d9b3865d9ef7e322a.png)
您最近一年使用:0次
4 . 选修4-1:几何证明选讲
如图,
是圆
的直径,
是半径
的中点,
是
延长线上一点,且
,直线
与圆
相交于点
、
(不与
、
重合),
与圆
相切于点
,连结
,
,
.
![](https://img.xkw.com/dksih/QBM/2015/7/20/1572188398379008/1572188404424704/STEM/6bf2e8a3131c4961abd5f245d2b2aaf1.png)
(Ⅰ)求证:
;
(Ⅱ)若
,求
.
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/c5db41a1f31d6baee7c69990811edb9f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b90e0f35eda1a729fed485f83da5ea9d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8455657dde27aabe6adb7b188e031c11.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b90e0f35eda1a729fed485f83da5ea9d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d8ef737b051413f81f8e473b7aa2bbfa.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/be2e2c0d4ac2bd79f6cea7a9b1a50662.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1dde8112e8eb968fd042418dd632759e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ac047e91852b91af639feec23a9598b2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0b68df477b3ee45ac0f725db00d465a1.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/b3533837e3d08c461dea031a44e5424d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1dde8112e8eb968fd042418dd632759e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/54a5d7d3b6b63fe5c24c3907b7a8eaa3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c884b508394b3ab50734b584d9ec783c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8e5c62f22d7afc5627fcb86599faa8e1.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/be99fa94a1f3e4964fcc13a14fab9ba5.png)
![](https://img.xkw.com/dksih/QBM/2015/7/20/1572188398379008/1572188404424704/STEM/6bf2e8a3131c4961abd5f245d2b2aaf1.png)
(Ⅰ)求证:
![](https://img.xkw.com/dksih/QBM/2015/7/20/1572188398379008/1572188404424704/STEM/1dcb487989b7444c8509a3fb64741d88.png)
(Ⅱ)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4c360f6b10ef0051f26059b97c0aa570.png)
![](https://img.xkw.com/dksih/QBM/2015/7/20/1572188398379008/1572188404424704/STEM/e7692430953648a69cb7cc5905e63f2b.png)
您最近一年使用:0次
2016-12-03更新
|
566次组卷
|
2卷引用:2015届黑龙江省哈尔滨市三中高三第四次模拟考试理科数学试卷
2011·黑龙江哈尔滨·三模
5 . 如图,AB是半圆O的直径,C是圆周上一点(异于A,B),过C作圆O的切线
过A作直线
的垂线AD,垂足为D,AD交半圆于点E,求证:CB=CE.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7cee7f51b707170c7b1e85b245992144.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0f85fca60a11e1af2bf50138d0e3fe62.png)
![](https://img.xkw.com/dksih/QBM/2011/5/18/1570208444530688/1570208449798144/STEM/1bcf372c1e7e4ce09cf687c6e8114806.png?resizew=147)
您最近一年使用:0次
6 . 选修4-1:几何证明选讲.
如图,圆周角
的平分线与圆交于点
,过点
的切线与弦
的延长线交于点
,
交
于点
.
![](https://img.xkw.com/dksih/QBM/editorImg/2022/8/2/9a4d7e72-02d8-4427-9ec6-78288d954c03.png?resizew=139)
(1)求证:
;
(2)若
四点共圆,且弧
与弧
相等,求
如图,圆周角
![](https://img.xkw.com/dksih/QBM/2015/6/15/1572122327072768/1572122333241344/STEM/9f391813265344e3b84b0add71f8735f.png)
![](https://img.xkw.com/dksih/QBM/2015/6/15/1572122327072768/1572122333241344/STEM/53a2deb9e45d47c5a5d523e5f3e9affb.png)
![](https://img.xkw.com/dksih/QBM/2015/6/15/1572122327072768/1572122333241344/STEM/53a2deb9e45d47c5a5d523e5f3e9affb.png)
![](https://img.xkw.com/dksih/QBM/2015/6/15/1572122327072768/1572122333241344/STEM/42a37ba17bed44ec8b1695afe12d8473.png)
![](https://img.xkw.com/dksih/QBM/2015/6/15/1572122327072768/1572122333241344/STEM/e9a7fb85543b434eb8d641b18020d179.png)
![](https://img.xkw.com/dksih/QBM/2015/6/15/1572122327072768/1572122333241344/STEM/fdf7e0242d064d49996745aea9a3a32a.png)
![](https://img.xkw.com/dksih/QBM/2015/6/15/1572122327072768/1572122333241344/STEM/dafb54ea36c244d6b6cc375a417274fc.png)
![](https://img.xkw.com/dksih/QBM/2015/6/15/1572122327072768/1572122333241344/STEM/2baab2bea819401da1ece84a3558ff91.png)
![](https://img.xkw.com/dksih/QBM/editorImg/2022/8/2/9a4d7e72-02d8-4427-9ec6-78288d954c03.png?resizew=139)
(1)求证:
![](https://img.xkw.com/dksih/QBM/2015/6/15/1572122327072768/1572122333241344/STEM/f134a28849784be185d26d443598825a.png)
(2)若
![](https://img.xkw.com/dksih/QBM/2015/6/15/1572122327072768/1572122333241344/STEM/e08368f8215244b28f869c2170e623e4.png)
![](https://img.xkw.com/dksih/QBM/2015/6/15/1572122327072768/1572122333241344/STEM/42a37ba17bed44ec8b1695afe12d8473.png)
![](https://img.xkw.com/dksih/QBM/2015/6/15/1572122327072768/1572122333241344/STEM/dafb54ea36c244d6b6cc375a417274fc.png)
![](https://img.xkw.com/dksih/QBM/2015/6/15/1572122327072768/1572122333241344/STEM/9f391813265344e3b84b0add71f8735f.png)
您最近一年使用:0次
2016-12-03更新
|
480次组卷
|
6卷引用:2015届黑龙江省哈尔滨九中高三第三次高考模拟理科数学试卷
9-10高二下·新疆·阶段练习
7 . 已知:如图,在等腰梯形ABCD中,AD∥BC,AB=DC,过点D作AC的平行线DE,交BA的延长线于点E.求证:
![](https://img.xkw.com/dksih/QBM/2014/4/30/1571696661061632/1571696666591232/STEM/5017d5fc40b341f2be9a7d118199cc2d.png)
(1)△ABC≌△DCB;
(2)DE·DC=AE·BD.
![](https://img.xkw.com/dksih/QBM/2014/4/30/1571696661061632/1571696666591232/STEM/5017d5fc40b341f2be9a7d118199cc2d.png)
(1)△ABC≌△DCB;
(2)DE·DC=AE·BD.
您最近一年使用:0次
10-11高二·黑龙江·阶段练习
8 . 如图,在
中,弦
垂直于直径
,求证:
.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3d97cdc586744d208b6f69c9813af977.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9d78abbad68bbbf12af10cd40ef4c353.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f52a58fbaf4fea03567e88a9f0f6e37e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4a7ef44867d2a974af3f5b2e38a19baf.png)
![](https://img.xkw.com/dksih/QBM/2011/4/14/1570119380516864/1570119385989120/STEM/fc7ded97ca7649a7970d37020c44578f.png?resizew=133)
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9 . 选修4-1:几何证明选讲
如图,已知
是
的外角
的平分线,交
的延长线于点
,延长
交
的外接
圆于点
,连结
.
![](https://img.xkw.com/dksih/QBM/2016/8/24/1572992052699136/1572992059105280/STEM/faa8b2cb2dfb439d87c61ccb345abf2d.png)
(1)求证:
;
(2)若
,求
的长.
如图,已知
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/03902478df1a55bc99703210bccab910.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0faed94a64b2dcfc6801b4fca0f16675.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6344778ed1e75c1a99e2268468081867.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0dc5c9827dfd0be5a9c85962d6ccbfb1.png)
![](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/0faed94a64b2dcfc6801b4fca0f16675.png)
圆于点
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a0ed1ec316bc54c37c4286c208f55667.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/fa175408eddbdfddfbe9701646d62b92.png)
![](https://img.xkw.com/dksih/QBM/2016/8/24/1572992052699136/1572992059105280/STEM/faa8b2cb2dfb439d87c61ccb345abf2d.png)
(1)求证:
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c07b92b8282c7fd1158b3b5098e38c39.png)
(2)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8ddfcdeed612c9976ecaca2d2b63d14d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2319a01218514917e446dfc807a625ff.png)
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2013·宁夏银川·模拟预测
10 . 几何证明选讲.
如图,直线
过圆心
,交⊙
于
,直线
交⊙
于
(不与
重合),直线
与⊙
相切于
,交
于
,且与
垂直,垂足为
,连结
.
![](https://img.xkw.com/dksih/QBM/2013/7/23/1571306231545856/1571306237468672/STEM/3e839a131716406a92308c1b21003b8c.png)
求证:(1)
;
(2)
.
如图,直线
![](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/1dde8112e8eb968fd042418dd632759e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/01c74a907dda6bb7d9d56d009d9df253.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6aa2b5e09f8ec785c59900a529390a02.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/7f9e8449aad35c5d840a3395ea86df6d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0f85fca60a11e1af2bf50138d0e3fe62.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1dde8112e8eb968fd042418dd632759e.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/2a30f3a8b673cc28bd90c50cf1a35281.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6aa2b5e09f8ec785c59900a529390a02.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/895dc3dc3a6606ff487a4c4863e18509.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/60ef95894ceebaf236170e8832dcf7e3.png)
![](https://img.xkw.com/dksih/QBM/2013/7/23/1571306231545856/1571306237468672/STEM/3e839a131716406a92308c1b21003b8c.png)
求证:(1)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d4e3c6f8a0f45cbcd1e09a3939b2147c.png)
(2)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/fb1384585ba99937ac66536d54b3f808.png)
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