1 . 如图,
是
的直径,
为
的切线,
为切点,过
作
的垂线,垂足为
.
(1)求证:
平分
;
(2)若
的半径为
,
,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/9d78abbad68bbbf12af10cd40ef4c353.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/5963abe8f421bd99a2aaa94831a951e9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9d78abbad68bbbf12af10cd40ef4c353.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8455657dde27aabe6adb7b188e031c11.png)
![](https://img.xkw.com/dksih/QBM/editorImg/2023/5/28/08dd0690-8ad3-45fa-8564-4e4fbc280c8b.png?resizew=151)
(1)求证:
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/60ef95894ceebaf236170e8832dcf7e3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2947ca8e0cdbeb4aab80ce9e7b63ba98.png)
(2)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3d97cdc586744d208b6f69c9813af977.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d91e07104b699c4012be2d26160976a2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e673ef2d48215ca84a48377f17d6df00.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/03902478df1a55bc99703210bccab910.png)
您最近一年使用:0次
2 . 如图,
,
分别与
相切于
,
两点,
是优弧
上的一个动点,若
,则![](https://staticzujuan.xkw.com/quesimg/Upload/formula/41db498f025052df2dbb1e50ab672675.png)
___________ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/bd33764ff4efddfe11a98a609753715c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d2be49c37e30a3ced0364c3e74d8c687.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/c5db41a1f31d6baee7c69990811edb9f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f52a58fbaf4fea03567e88a9f0f6e37e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e570370ff2d9b2909c77ed575c28983e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/41db498f025052df2dbb1e50ab672675.png)
![](https://img.xkw.com/dksih/QBM/editorImg/2023/5/27/042659e8-8325-4719-b1a0-f04658de6b7d.png?resizew=214)
您最近一年使用:0次
3 . 如图,
,
分别与
相切于
,
两点,点
在
上,
切
于
,分别交
,
于点
,
,已知
,
的半径为
,则
的周长是___________
.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/bd33764ff4efddfe11a98a609753715c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d2be49c37e30a3ced0364c3e74d8c687.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/c5db41a1f31d6baee7c69990811edb9f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/16d65cecaf8a3dc2953f4109c75a981e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e6e490f703eb6c9bb1278c78ebc2d661.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/bd33764ff4efddfe11a98a609753715c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d2be49c37e30a3ced0364c3e74d8c687.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8455657dde27aabe6adb7b188e031c11.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2a30f3a8b673cc28bd90c50cf1a35281.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/cfd882f87c55965db1241fd255b5e61e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3d97cdc586744d208b6f69c9813af977.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f3a9eed64d225267a58cd001db67e2a3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7cff7399ecc698e2fb415147c96d0d03.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9efa9fbcfb9595e2f031aa691db4564b.png)
![](https://img.xkw.com/dksih/QBM/editorImg/2023/5/17/f2abd84a-acb8-4be6-8dac-6f3b29de7829.png?resizew=183)
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2023-05-14更新
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99次组卷
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2卷引用:京改版九年级数学上册 第22章 圆 单元测试
4 . 如图,A点的坐标为
,以A为圆心的
切x轴于点B,
为
上的一个动点,则
的最大值=___________
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/29f48e1c656aace41360467f254e359d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3452b88d31c34dbb512b0e3f1aa89427.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/82aaa597a5aa6176863eda3fdf83e181.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3452b88d31c34dbb512b0e3f1aa89427.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6258b61850aeb51414c2e91d3a795eb7.png)
![](https://img.xkw.com/dksih/QBM/editorImg/2023/2/16/d0e6c942-b7cc-4bdc-adbd-ad9f92ccad28.png?resizew=169)
您最近一年使用:0次
2023-02-08更新
|
121次组卷
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2卷引用:浙教版九年级下册第二章直线与圆的位置关系单元测试数学试题
5 . 如图,
是
的直径,
是半圆上的一点,
与
所在的直线互相垂直,
于点
,交
于点
.
![](https://img.xkw.com/dksih/QBM/2022/12/5/3124212974313472/3170373045051392/STEM/749d4fb255f14679a4828ab3c72c7544.png?resizew=136)
(1)求证:
平分
;
(2)若点
为弧
的中点,
的半径为
,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/3d97cdc586744d208b6f69c9813af977.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c5db41a1f31d6baee7c69990811edb9f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9d78abbad68bbbf12af10cd40ef4c353.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/828628c0876b45381c9a0edeb0fec236.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/cdb2dd10731b99c0f4f89ee957f8a239.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8455657dde27aabe6adb7b188e031c11.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3d97cdc586744d208b6f69c9813af977.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2a30f3a8b673cc28bd90c50cf1a35281.png)
![](https://img.xkw.com/dksih/QBM/2022/12/5/3124212974313472/3170373045051392/STEM/749d4fb255f14679a4828ab3c72c7544.png?resizew=136)
(1)求证:
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/60ef95894ceebaf236170e8832dcf7e3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4189a0821a0ffab9dc171ecd279ba442.png)
(2)若点
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2a30f3a8b673cc28bd90c50cf1a35281.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/bdaa19de263700a15fcf213d64a8cd57.png)
您最近一年使用:0次
2023-02-08更新
|
154次组卷
|
2卷引用:浙教版九年级下册第二章直线与圆的位置关系单元测试数学试题
2022九年级·浙江·专题练习
6 . 如图,边长为4的正方形
中,顶点A落在矩形
的边
上,
,而矩形的顶点G恰好落在
边上.点O是
边上一动点(不与A,B重合),以O为圆心,
长为半径作圆,当
与矩形
的边相切时,
的长为 _____ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/411b38a18046fea8e9fab1f9f9b80a5f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b2257da1e2425f2ea9ac7440f52659ff.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/49b50357a6545cae8348e3059312f520.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3e7c422a19b68b8b4cd484d22897e3a3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0dc5c9827dfd0be5a9c85962d6ccbfb1.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f52a58fbaf4fea03567e88a9f0f6e37e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ef4113c492885ba7c47fe42ac792578f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3d97cdc586744d208b6f69c9813af977.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b2257da1e2425f2ea9ac7440f52659ff.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ef4113c492885ba7c47fe42ac792578f.png)
![](https://img.xkw.com/dksih/QBM/editorImg/2023/1/12/6837b438-5450-4e11-9310-53492dfd92d9.png?resizew=160)
您最近一年使用:0次
2023-01-11更新
|
229次组卷
|
4卷引用:浙教版九年级下册第二章直线与圆的位置关系单元测试数学试题
浙教版九年级下册第二章直线与圆的位置关系单元测试数学试题(已下线)第12讲 直线与圆的位置(4大考点)-2022-2023学年九年级数学考试满分全攻略(浙教版)30-点、直线与圆的有关位置关系2024年江苏省常州市正衡中学九年级数学新课结束模拟预测题
7 . 如图,
中,
是切线,切点是
,直线
交
于
、
,
,则
的度数是( )
![](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/8455657dde27aabe6adb7b188e031c11.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/bdc93e193fad261689949a52819753f0.png)
![](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/5963abe8f421bd99a2aaa94831a951e9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/80e56feb858a38f68412d4d7691fcf86.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/194741f4d2ae7ee44cafca780361446a.png)
A.![]() | B.![]() | C.![]() | D.![]() |
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2024-03-15更新
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18卷引用:2019届人教版九年级数学上册 第 24 章《圆》经典题型单元测试题
2019届人教版九年级数学上册 第 24 章《圆》经典题型单元测试题【校级联考】湖北省荆门市沙洋县2019届九年级(上)期末数学模拟试题【校级联考】河北省石家庄市高邑县2019届九年级上学期期末模拟考试数学试题四川省广安第二中学2019届年九年级(上)期末数学检测试题安徽省芜湖市第二中学2019届九年级(上)期末数学试题内蒙古自治区赤峰市翁牛特旗乌丹第三中学2019届九年级上学期期末考试数学试题浙教版九年级数学下第二章 同步练习 2.1 直线与圆的位置关系 切线的性质湖南省武冈市实验中学2019届九年级(上)期末数学试题【全国百强校】湖南省长沙市雨花区南雅中学2019年中考数学模拟试卷(3月份)重庆市巴蜀中学2019年九年级第二次模拟考试数学试题河北省唐山市开滦第二中学2019年中考三模数学试题山东省德州市宁津县2018-2019学年九年级上学期期末数学试题2021年黑龙江省哈尔滨市阿城区中考4月调研九年级数学试题2021年湖南师大附中博才实验中学中考数学模拟试题2022年甘肃省嘉峪关市中考数学三模试题黑龙江省 哈尔滨市第七十二中学2023-2024学年九年级下学期开学考试数学试题山东省德州市乐陵市孔镇镇张桥中学2023-2024学年九年级上学期第二次月考数学试题2024年黑龙江省哈尔滨市第四十七中学中考二模数学试题
8 . 如图,点
为
外一点,过点
作
的切线
,记切点为
,点
为
上一点,连接
.若
,则
等于( )
![](https://img.xkw.com/dksih/QBM/editorImg/2022/11/24/b3c6b107-75be-4d06-bd92-f3baa64708d0.png?resizew=276)
![](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/dad2a36927223bd70f426ba06aea4b45.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3d97cdc586744d208b6f69c9813af977.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/60d4a832771ba45d407f31000c8fcf37.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e52586ca2a3b783bc8092415e2d4bf6d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c5db41a1f31d6baee7c69990811edb9f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3d97cdc586744d208b6f69c9813af977.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d8ed1fce01430ae31294c29d626626f0.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f7091b55e16ac64f7219f3bea4f3b109.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/cb686e4f5e3938575bc547e849d5513f.png)
![](https://img.xkw.com/dksih/QBM/editorImg/2022/11/24/b3c6b107-75be-4d06-bd92-f3baa64708d0.png?resizew=276)
A.![]() | B.![]() | C.![]() | D.![]() |
您最近一年使用:0次
2022-11-22更新
|
364次组卷
|
8卷引用:第二十四章 圆(A卷·知识通关练)-【单元测试】2022-2023学年九年级数学分层训练AB卷(人教版)
(已下线)第二十四章 圆(A卷·知识通关练)-【单元测试】2022-2023学年九年级数学分层训练AB卷(人教版)(已下线)考点二点与圆、直线与圆的位置关系重庆市巴蜀中学校2022-2023学年九年级上学期入学测试数学试题重庆市渝中区巴蜀中学2022-2023学年九年级上学期入学数学试题山西省阳泉市矿区2022-2023学年九年级上学期期中数学试卷山东省聊城市东昌府区聊城江北大培文学校2022-2023学年九年级上学期期中数学试题河北省邢台市襄都区第三中学2022-2023学年九年级上学期月考数学试题河北省衡水市景县第二中学2023-2024学年九年级上学期期中数学试题
9 . 如图,
是
的直径,
为
的切线,切点为C,交
的延长线于点A,点F是
上的一点,且点C是弧
的中点,连接
并延长交
的延长线于点B.
![](https://img.xkw.com/dksih/QBM/editorImg/2023/4/21/1e013337-a6e8-4f77-92a5-a6488561dd17.png?resizew=189)
(1)求证:
;
(2)若
,
,求⊙O的半径.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e6e490f703eb6c9bb1278c78ebc2d661.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3d97cdc586744d208b6f69c9813af977.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9abaeba15f3abdd877bc701af52c5cd9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3d97cdc586744d208b6f69c9813af977.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e6e490f703eb6c9bb1278c78ebc2d661.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3d97cdc586744d208b6f69c9813af977.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/49b50357a6545cae8348e3059312f520.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d004d2d115b477ade6af7ddb93db0df8.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/60ef95894ceebaf236170e8832dcf7e3.png)
![](https://img.xkw.com/dksih/QBM/editorImg/2023/4/21/1e013337-a6e8-4f77-92a5-a6488561dd17.png?resizew=189)
(1)求证:
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/02b6d19fedaf8488f9637cd64efbca83.png)
(2)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/32f01c4faacedfe56f5127d6c0cc63cf.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/549288857c93a36bfb1a280b61e3670c.png)
您最近一年使用:0次
2023-04-05更新
|
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9卷引用:京改版九年级数学上册第22章 圆(下) 单元测试卷
10 . 如图,在边长为2的等边
中,以点O为圆心画弧,与
边相切于点C,交
于点D,交
于点E,求
的长.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3fe95f656b98b53f71a9d72bf0c9a4b9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f52a58fbaf4fea03567e88a9f0f6e37e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ef4113c492885ba7c47fe42ac792578f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b90e0f35eda1a729fed485f83da5ea9d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d0c44512cb86bcf48c6d21357f45b533.png)
![](https://img.xkw.com/dksih/QBM/editorImg/2022/11/5/88203cdf-979f-45f0-815c-4702b8705141.png?resizew=150)
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2022-11-04更新
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3卷引用:浙教版九年级下册第二章直线与圆的位置关系单元测试数学试题