2023九年级上·江苏·专题练习
1 . 如图,在
中,
,
是
的内切圆,切点分别为D、E、F.若
,
,则![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7b5e00b7e3ee4b70170f98045b958d35.png)
___________ .
![](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/3d97cdc586744d208b6f69c9813af977.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/15c0dbe3c080c4c4636c64803e5c1f76.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/11c85409e4c685f7dbadae2de3cf9a09.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d0d5a2cd05e4476fc72271e8fdb59a9a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7b5e00b7e3ee4b70170f98045b958d35.png)
![](https://img.xkw.com/dksih/QBM/editorImg/2024/2/19/1ee1e8b0-8be2-4397-b30b-ce08c9f554f7.png?resizew=95)
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2 . 如图,以正方形
的
边为直径作半圆O,过点C作直线切半圆于点F,交
边于点E,若
的周长为24,则四边形
的周长为______ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/411b38a18046fea8e9fab1f9f9b80a5f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f52a58fbaf4fea03567e88a9f0f6e37e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/03902478df1a55bc99703210bccab910.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d631f45bc652539853f236952afa5bbf.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/01ff27eea7545bb06f9472f91290c54e.png)
![](https://img.xkw.com/dksih/QBM/editorImg/2024/2/18/2f8fa596-4e54-4c73-9d1b-7fbab818f40c.png?resizew=112)
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3 . 图1是建筑工地搬砖平板车示意图,图2是平板车停放在水平地面上时侧面示意图,车把手与车板组成线段
,车轮和车板相切于点
,车轮直径为
,车轮和地面接触点为
,求车把手
到地面的距离.(结果精确到
,参考数据:
,
,
,
,
,
)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/620b2e7391bcf303a026de1520805bff.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8455657dde27aabe6adb7b188e031c11.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0efcafdc2745021d7e2faf61fe3d0810.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3f3abfb981203bb1e9b3c343d28bb4fb.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5963abe8f421bd99a2aaa94831a951e9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5dd58f9f2603b2a02db40ca2bf9d17a3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2e1b1bda3c79d96678ea380e0b570eb6.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/458c7c1a9aec5c8800d28a066f48890d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0be031705d9e88960de88641e6a750c9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/235bef0c56e29e65ab4a36f726d23d4b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f40751b005ce302d87312dd2327db7a1.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1f4ca16a2808d161619599176b9c9ee3.png)
![](https://img.xkw.com/dksih/QBM/editorImg/2024/2/18/f75f8ca3-8d6e-479c-a124-cad4355bc71a.png?resizew=407)
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4 . 如图,四边形
为正方形,且边长为4,点E是
边上一点以
为直径的半圆切
于点F,则
的长为______ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/411b38a18046fea8e9fab1f9f9b80a5f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/764509115979e9958101808383672ec0.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b79dd200766db27fb90d6bd1992cf658.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1a6c6e7c025362c46a64a8956761f08e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d0213c5787a5a6b38d11bceca5567f67.png)
![](https://img.xkw.com/dksih/QBM/editorImg/2024/2/18/7d3b461c-e033-4d09-923c-ca5ed51ec389.png?resizew=133)
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5 . 如图,
、
切
于点A、B,
,
切
于点E,交
、
于C、D两点,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/0b80ee363635d73f601654339028daec.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/bd33764ff4efddfe11a98a609753715c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d2be49c37e30a3ced0364c3e74d8c687.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/177678001b2ccde1db8f57fa5e017002.png)
![](https://img.xkw.com/dksih/QBM/editorImg/2024/2/15/5085ee99-fee3-46d5-8d4a-e377d87f8b90.png?resizew=158)
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6 . 如图,某小区打算进行公共设施改造,现有一块边长为
的正方形空地
,点O在
边的中点处,计划在正方形空地内搭建一个以O为圆心,
为直径的半圆形儿童游乐场区域,过点C作半圆的切线交
于点N.以
为正方形的区域分割线,位于分割线右下方的整个区域
作为小区的休闲区,则该休闲区的面积为( )
.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/45c758c27bec97c234d1d818c40f3d3f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/411b38a18046fea8e9fab1f9f9b80a5f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f52a58fbaf4fea03567e88a9f0f6e37e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f52a58fbaf4fea03567e88a9f0f6e37e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/03902478df1a55bc99703210bccab910.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/167d31eb8432b5c0364316e5048c23dd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0cb34a1c3ab87b1a371a17d71cc98049.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/35c901bcdfa58f0c68ad0161b0bab269.png)
A.1000 | B.140 | C.800 | D.![]() |
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7 . 《九章算术》是我国古代数学的瑰宝,其第九卷中有著名的“勾股容圆”问题,原文为:“今有勾八步,股一十五步.问勾中容圆径几何?”意思是“今有直角三角形,较短直角边长8步,较长直角边长15步,问此直角三角形内切圆的直径是多少步?”我们用学过的知识可求该内切圆的直径 是______ 步.
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8 . 如图,
是
的内切圆,
分别与
相切于D,E两点,已知
,
,则
的周长为( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3d97cdc586744d208b6f69c9813af977.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/15c0dbe3c080c4c4636c64803e5c1f76.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/17487118ab7a90fc8c91bf0870f3289e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3d97cdc586744d208b6f69c9813af977.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3f4aca5534bce25acaeb7379deed8f8f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dae8221601c7bd5c51fd520615581fa1.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/15c0dbe3c080c4c4636c64803e5c1f76.png)
A.14 | B.![]() | C.16 | D.18 |
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9 . 在
中,
,则
的外接圆半径R与内切圆半径r的差![](https://staticzujuan.xkw.com/quesimg/Upload/formula/301e67c1b6864ad87d85ca7237827542.png)
___________ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/15c0dbe3c080c4c4636c64803e5c1f76.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/fb01c6fad0ba4fd53c335cf803a2d58a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/15c0dbe3c080c4c4636c64803e5c1f76.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/301e67c1b6864ad87d85ca7237827542.png)
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10 . 如图,
分别切
于A、B,
,C是劣弧
上的点(不与点A、B重合),过点C的切线分别交
于点E、F.则
的周长为_______
.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/60d4a832771ba45d407f31000c8fcf37.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3d97cdc586744d208b6f69c9813af977.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/885052878bb95682f265949df5e5e64c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f52a58fbaf4fea03567e88a9f0f6e37e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/60d4a832771ba45d407f31000c8fcf37.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/91b51d3992644d37dc71c9b5a97d515c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9efa9fbcfb9595e2f031aa691db4564b.png)
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2024-02-06更新
|
150次组卷
|
4卷引用:湖南省长沙市师大附中集团2023-2024学年九年级上学期期末数学试题