真题
1 . 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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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
2013·宁夏银川·模拟预测
2 . 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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9-10高二下·新疆·阶段练习
3 . 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.
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