1 . 如图,在
中,
,点F在边
上,以
为直径的
切
于点D,交
于点E,连接
.
![](https://img.xkw.com/dksih/QBM/editorImg/2023/4/28/b3c607d6-3a20-4065-8fdf-0a1ddd391d7a.png?resizew=163)
(1)求证:
平分
.
(2)已知
半径是2,连接
,若
,求弧
的长(结果保留π).
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dd967903ed5a6f640a5b801ec8be0070.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7e3262fc038bbec5e7c8cc47df08bef7.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f52a58fbaf4fea03567e88a9f0f6e37e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6aa2b5e09f8ec785c59900a529390a02.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/03902478df1a55bc99703210bccab910.png)
![](https://img.xkw.com/dksih/QBM/editorImg/2023/4/28/b3c607d6-3a20-4065-8fdf-0a1ddd391d7a.png?resizew=163)
(1)求证:
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/03902478df1a55bc99703210bccab910.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7cbce11aa19b8bd2bf6ee5a834e005de.png)
(2)已知
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3d97cdc586744d208b6f69c9813af977.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a299d2b999568e80be8005565ba209a4.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3e94633285fd100c13a7cd4d13fad631.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/68a83fdd2ba72a2dba0b6b10bb3e06b9.png)
您最近一年使用:0次
2023-04-22更新
|
171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
22-23九年级下·浙江杭州·阶段练习
2 . 如图,
是
的直径,C是
上的一个动点,延长
至
,使
,
垂直于弦
,垂足为点
,点
在
上.
![](https://img.xkw.com/dksih/QBM/editorImg/2023/4/14/467b9ff8-c85e-4f94-a6bc-e0214962b055.png?resizew=239)
(1)当
与
相切时,求
的度数;
(2)芳芳观察后发现,
的值为
,点点说
的值随动点
的变化而变化,你为谁的结论是正确的,请给予证明;
(3)设
,求
与
之间的函数关系式.
![](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/3d97cdc586744d208b6f69c9813af977.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f52a58fbaf4fea03567e88a9f0f6e37e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dad2a36927223bd70f426ba06aea4b45.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7fc1fc39fa72c334a321129d893899a6.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d40b319212a7e7528b053e1c7097e966.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0dc5c9827dfd0be5a9c85962d6ccbfb1.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7f9e8449aad35c5d840a3395ea86df6d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8455657dde27aabe6adb7b188e031c11.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/48f3c9abbd78e9a6840ee5f30381daac.png)
![](https://img.xkw.com/dksih/QBM/editorImg/2023/4/14/467b9ff8-c85e-4f94-a6bc-e0214962b055.png?resizew=239)
(1)当
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/48f3c9abbd78e9a6840ee5f30381daac.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3d97cdc586744d208b6f69c9813af977.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3df0ba997bb8f5b2f2a2b677391ebc22.png)
(2)芳芳观察后发现,
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6ca91716d4c4b47185a7ddf88b435b3e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f89eef3148f2d4d09379767b4af69132.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6ca91716d4c4b47185a7ddf88b435b3e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c5db41a1f31d6baee7c69990811edb9f.png)
(3)设
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ccfe7bd500e01042eed9b25676264471.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d053b14c8588eee2acbbe44fc37a6886.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/81dea63b8ce3e51adf66cf7b9982a248.png)
您最近一年使用:0次
2023-04-11更新
|
209次组卷
|
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
名校
3 . 如图,
为
的切线,A,B分别为切点,
,点P到圆心O的距离
,则
的半径为( )
![](https://img.xkw.com/dksih/QBM/editorImg/2023/4/11/7c4864cc-03ed-4bb2-9348-d95715f44d65.png?resizew=160)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7a1dd47d59b9755e1815f18f3e22ef81.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3d97cdc586744d208b6f69c9813af977.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1b15b82151bff7cc0238d2034a6129f0.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/07445aa3909818a3ef93bb01182f545f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3d97cdc586744d208b6f69c9813af977.png)
![](https://img.xkw.com/dksih/QBM/editorImg/2023/4/11/7c4864cc-03ed-4bb2-9348-d95715f44d65.png?resizew=160)
A.![]() | B.1 | C.![]() | D.2 |
您最近一年使用:0次
2023-04-08更新
|
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|
2卷引用:第31章 圆 单元测试卷 人教版(五四制)九年级数学上册
4 . 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
|
284次组卷
|
9卷引用:京改版九年级数学上册第22章 圆(下) 单元测试卷
5 . 我们把半径之比等于黄金比的两个同心圆称为黄金同心圆.如图黄金同心圆中,
为大圆直径,
为大圆中的一条弦,且与小圆相切,小圆半径为1,设弦
的长为
,则![](https://staticzujuan.xkw.com/quesimg/Upload/formula/089f8ede46835a0d5ec4096e64f5db97.png)
_____ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f52a58fbaf4fea03567e88a9f0f6e37e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/60ef95894ceebaf236170e8832dcf7e3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/60ef95894ceebaf236170e8832dcf7e3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/294f5ba74cdf695fc9a8a8e52f421328.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/089f8ede46835a0d5ec4096e64f5db97.png)
![](https://img.xkw.com/dksih/QBM/editorImg/2023/4/4/c86b3207-2406-44a3-9c64-17367d179fd0.png?resizew=156)
您最近一年使用:0次
2023-04-01更新
|
112次组卷
|
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
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江省杭州市上城区杭州绿城育华学校2022-2023学年九年级下学期3月月考数学试题(已下线)【浙江新东方】 2023年九年级下学期月考305数学试题
名校
6 . 如图,
中,
,点
是
边上的一点,
与
、
分别相切于点
、
,点
为
上一点,连
,若四边形
是菱形,则图中阴影部分面积是( )
![](https://img.xkw.com/dksih/QBM/editorImg/2023/2/24/724642b2-6e90-47ad-a17f-e1b92fbee474.png?resizew=155)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/15c0dbe3c080c4c4636c64803e5c1f76.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/10c013bbe1fb6e9acf461548b5cf6cd2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1dde8112e8eb968fd042418dd632759e.png)
![](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/60ef95894ceebaf236170e8832dcf7e3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0dc5c9827dfd0be5a9c85962d6ccbfb1.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5963abe8f421bd99a2aaa94831a951e9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2a30f3a8b673cc28bd90c50cf1a35281.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a0ed1ec316bc54c37c4286c208f55667.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3d97cdc586744d208b6f69c9813af977.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6aa2b5e09f8ec785c59900a529390a02.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/fd4b93d7abcfc4c3df48f03aa969c17f.png)
![](https://img.xkw.com/dksih/QBM/editorImg/2023/2/24/724642b2-6e90-47ad-a17f-e1b92fbee474.png?resizew=155)
A.![]() | B.![]() | C.![]() | D.![]() |
您最近一年使用:0次
2023-02-22更新
|
559次组卷
|
11卷引用:第二十八章圆(A卷-中档卷)-【单元测试】2022-2023学年九年级数学分层训练AB卷【冀教版】
(已下线)第二十八章圆(A卷-中档卷)-【单元测试】2022-2023学年九年级数学分层训练AB卷【冀教版】 湖北省武汉市一初慧泉中学2020—2021学年九年级下学期5月月考数学试卷2022年湖南省长沙市开福区长沙市北雅中学中考数学冲刺最后一卷2023年江西省抚州市中考一模数学试卷(已下线)2023年湖北省天门市仙北中学九年级数学中考复习第一次模拟测试题(已下线)专题31 与圆有关的计算-备战2023年中考数学一轮复习之必考点题型全归纳与分层精练(全国通用)2023年江苏省锡山高级中学实验学校九年级下学期第一次适应性练习数学试题(已下线)数学(山西卷)-学易金卷:2023年中考第一次模拟考试卷(已下线)2023年广东省深圳市南山区中考二模数学试卷变式题6-10题湖南省永州市冷水滩区李达中学2022-2023学年九年级下学期第二次月考数学试题湖北省武汉市六中位育中学2021-2022学年九年级下学期月考数学试题
名校
7 . 如图,在
中,
,点D是
边上一点,以
为直径的⊙O与边
相切于点E,与边
交于点F,过点E作
于点H,连接
.
![](https://img.xkw.com/dksih/QBM/editorImg/2023/2/24/5da6f27b-901a-47fe-9031-9e969b31e85b.png?resizew=164)
(1)求证:
;
(2)若
,求
的长.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/15c0dbe3c080c4c4636c64803e5c1f76.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7e3262fc038bbec5e7c8cc47df08bef7.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f52a58fbaf4fea03567e88a9f0f6e37e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d40b319212a7e7528b053e1c7097e966.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/60ef95894ceebaf236170e8832dcf7e3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0dc5c9827dfd0be5a9c85962d6ccbfb1.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e3bb34308698b377df58ef5441aeec76.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/85c4bdfb0db1e31e8459df1d15f9ab55.png)
![](https://img.xkw.com/dksih/QBM/editorImg/2023/2/24/5da6f27b-901a-47fe-9031-9e969b31e85b.png?resizew=164)
(1)求证:
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c3fee6588b02b0dc7a8f94a2b7993f18.png)
(2)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5c5c584f734abc687a05b740f0e29f5b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/03902478df1a55bc99703210bccab910.png)
您最近一年使用:0次
2023-02-22更新
|
218次组卷
|
11卷引用:北师大版九年级下册 第三章 圆 单元测试卷
北师大版九年级下册 第三章 圆 单元测试卷【全国区级联考】北京市石景山区2018届九年级中考二模数学试题【区级联考】江苏省南通市通州区2019届九年级(上)期末数学试题【全国百强校】陕西省西安市高新一中2019届中考二模数学试题福建省永春县第一中学2019届九年级3月月考数学试题江苏省南通市第一初级中学2018-2019学年九年级上学期期末数学试题2020年北京市海淀区部分学校九年级下学期第二次统测数学试题2020年湖南省张家界市初中学业水平四模数学试题(已下线)福建省泉州市永春县城南中学2021-2022学年九年级下学期数学第一次月考测试题福建省福州市鼓山中学2019-2020学年九年级下学期开学考试数学试题福建省莆田市擢英中学2023-2024学年九年级上学期月考数学试题
名校
8 . 如图,
是
的直径,弦
于点
,在
的切线
上取一点
,使得
.
是
的切线;
(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/8b757f0c42ae5c9a2d6a4b19e5877b27.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2a30f3a8b673cc28bd90c50cf1a35281.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3d97cdc586744d208b6f69c9813af977.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/db54223bb3fc2fe2497213a4d1f94827.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dad2a36927223bd70f426ba06aea4b45.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/db5739567df03f8254035bb9927db01a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d2be49c37e30a3ced0364c3e74d8c687.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3d97cdc586744d208b6f69c9813af977.png)
(2)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f7bae5203f4b4acf23779114b3466e17.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/eca7e1a727ba332984ad857b3d25344d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d2be49c37e30a3ced0364c3e74d8c687.png)
您最近一年使用:0次
2023-02-17更新
|
318次组卷
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10卷引用:京改版九年级数学上册第22章 圆(下) 单元测试卷
京改版九年级数学上册第22章 圆(下) 单元测试卷【区级联考】北京市海淀区2019届九年级中考数学一模(已下线)专题14 图形的性质之解答题(3)《备战2020年中考真题分类汇编》(北京)(已下线)专题07 圆的综合-决胜2020年中考数学压轴题全揭秘精品(北京专用)2020年北京市三帆中学中考基础练习数学试题2020年山东省美加学校数学中考仿真模拟测试题(一)2021学年北京师范大学附属实验中学九年级下学期摸底数学试题北京市第一六一中学2021-2022学年九年级下学期数学第一次月考测试题(已下线)2023年广西中考数学真题变式题23-26题北京市理工大学附属中学分校2023-2024学年九年级下学期开学考试数学试题
9 . 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)
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2023-02-08更新
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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
10 . 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)
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2023-02-08更新
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154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