如图,
中,
,以
为直径的
交
于点D,点E为
延长线上一点,且
.
求证:
是
的切线.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/15c0dbe3c080c4c4636c64803e5c1f76.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/047dc9795efa99b6fb9fdf9778085dab.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/60ef95894ceebaf236170e8832dcf7e3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3d97cdc586744d208b6f69c9813af977.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0dc5c9827dfd0be5a9c85962d6ccbfb1.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/60ef95894ceebaf236170e8832dcf7e3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/706d191fefbc1abc187601f1d809d89e.png)
求证:
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e6e490f703eb6c9bb1278c78ebc2d661.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3d97cdc586744d208b6f69c9813af977.png)
![](https://img.xkw.com/dksih/QBM/editorImg/2023/1/5/ae5c05bc-9faf-4878-8d18-ab8dcdfbbf04.png?resizew=156)
22-23九年级上·广东广州·期末 查看更多[6]
广东省广州市第十六中学2022-2023学年九年级上学期数学期末阶段性训练广东省广州市第十六中学2022-2023学年九年级上学期期末数学试卷 (已下线)2022年湖北省十堰市中考数学一模试题变式题21-25(已下线)2023年湖北省黄冈市中考二模数学试题变式题21-24题(已下线)第05讲 直线与圆的位置关系及切线的判定与性质(知识解读+真题演练+课后巩固)-2023-2024学年九年级数学上册《知识解读·题型专练》(苏科版)(已下线)第05讲 直线与圆的位置关系及切线的判定与性质(知识解读+真题演练+课后巩固)-2023-2024学年九年级数学上册《知识解读·题型专练》(人教版)
更新时间:2023-01-04 19:46:12
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【推荐1】已知:如图,在△ABC中,∠C=90°,AE是△ABC的角平分线;ED平分∠AEB,交AB于点D;∠CAE=∠B.
![](https://img.xkw.com/dksih/QBM/2022/6/22/3006725125029888/3008308129996800/STEM/a8add9fbedf04949abc93f6ec78652a8.png?resizew=241)
(1)求∠B的度数.
(2)如果AC=3cm,求AB的长度.
(3)猜想:ED与AB的位置关系,并证明你的猜想.
![](https://img.xkw.com/dksih/QBM/2022/6/22/3006725125029888/3008308129996800/STEM/a8add9fbedf04949abc93f6ec78652a8.png?resizew=241)
(1)求∠B的度数.
(2)如果AC=3cm,求AB的长度.
(3)猜想:ED与AB的位置关系,并证明你的猜想.
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【推荐2】如图,在
中,
,
于点D,
平分
交
于点E,
平分
交
于点F,求证:
.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/15c0dbe3c080c4c4636c64803e5c1f76.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/047dc9795efa99b6fb9fdf9778085dab.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8b5f215a42c4b7078d8d65923eb9980e.png)
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![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d004d2d115b477ade6af7ddb93db0df8.png)
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解答题-证明题
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【推荐1】如图,
是
的直径,点
在
上,且
是
的切线,过点
作
的平行线交
于点
,交
于点
,连接
并延长与
相交于点
.
![](https://img.xkw.com/dksih/QBM/editorImg/2024/3/17/e4bae30e-0e9c-475c-9434-3a3940e42da3.png?resizew=128)
(1)求证:
;
(2)若
,
,求
的长.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f52a58fbaf4fea03567e88a9f0f6e37e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3d97cdc586744d208b6f69c9813af977.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8455657dde27aabe6adb7b188e031c11.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3d97cdc586744d208b6f69c9813af977.png)
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![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3d97cdc586744d208b6f69c9813af977.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7f9e8449aad35c5d840a3395ea86df6d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/15a424b50eaeafa6f302ffd95476cb86.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3d97cdc586744d208b6f69c9813af977.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c5db41a1f31d6baee7c69990811edb9f.png)
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(1)求证:
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5a1b7513e09cccf40c3a483064b97e48.png)
(2)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/eca7e1a727ba332984ad857b3d25344d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/04ee826937d2add7a93aaa1422f8b736.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/60ef95894ceebaf236170e8832dcf7e3.png)
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真题
【推荐2】如图,AB是⊙O的直径,点C是⊙O上一点,∠CAB的平分线AD交
于点D,过点D作DE∥BC交AC的延长线于点E.
(1)求证:DE是⊙O的切线;
(2)过点D作DF⊥AB于点F,连接BD.若OF=1,BF=2,求BD的长度.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ed41d321f4c0717ac5b443aad942d9a7.png)
(1)求证:DE是⊙O的切线;
(2)过点D作DF⊥AB于点F,连接BD.若OF=1,BF=2,求BD的长度.
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名校
【推荐1】已知
是
的直径,
是圆外一点,直线
交
于点
,
、
不重合,
平分
交
于点
,过
作
,垂足为
.
![](https://img.xkw.com/dksih/QBM/editorImg/2022/8/9/916bc3e8-9d15-4647-9931-1613ae92fc72.png?resizew=179)
(1)判断
与
的位置关系,并说明理由;
(2)若
,
,求
的半径的长度.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f52a58fbaf4fea03567e88a9f0f6e37e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3d97cdc586744d208b6f69c9813af977.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c5db41a1f31d6baee7c69990811edb9f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9abaeba15f3abdd877bc701af52c5cd9.png)
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![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8455657dde27aabe6adb7b188e031c11.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/68a83fdd2ba72a2dba0b6b10bb3e06b9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/21b28f28ced0531d1df34fcf04c6c67f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3d97cdc586744d208b6f69c9813af977.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2a30f3a8b673cc28bd90c50cf1a35281.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2a30f3a8b673cc28bd90c50cf1a35281.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2e765dc83f748ee4bb1dd87f1de97aa5.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a0ed1ec316bc54c37c4286c208f55667.png)
![](https://img.xkw.com/dksih/QBM/editorImg/2022/8/9/916bc3e8-9d15-4647-9931-1613ae92fc72.png?resizew=179)
(1)判断
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/49b50357a6545cae8348e3059312f520.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3d97cdc586744d208b6f69c9813af977.png)
(2)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/aeedb5f361a1baff6338436fff6c471d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c0cee0f36dc452e58086832c0152b641.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3d97cdc586744d208b6f69c9813af977.png)
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【推荐2】如图,
、
为
的直径,弦
于点
,点
在
延长线上,
交弦
于点
,
为
的中点,
.
![](https://img.xkw.com/dksih/QBM/2022/4/28/2967737961816064/2974158835531776/STEM/17b82f68-3243-4f66-9d43-d6737d86a962.png?resizew=261)
(1)求证:
为
的切线;
(2)求
,求图中阴影部分的面积.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f52a58fbaf4fea03567e88a9f0f6e37e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/167d31eb8432b5c0364316e5048c23dd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3d97cdc586744d208b6f69c9813af977.png)
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![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f52a58fbaf4fea03567e88a9f0f6e37e.png)
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![](https://img.xkw.com/dksih/QBM/2022/4/28/2967737961816064/2974158835531776/STEM/17b82f68-3243-4f66-9d43-d6737d86a962.png?resizew=261)
(1)求证:
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4cae70b8a9d2d2e96dea62c00ced04b9.png)
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(2)求
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/df003447e98fd5ba9badd42177f345db.png)
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