已知:
的半径
,过点A作
,在
上截取
,连结
,
的外接圆
,交
于点C,连
.
(1)请在图中作出线段
并求
的半径,(要求用尺规作图,保留作图痕迹,不要求写作法和证明).
(2)求证:
垂直平分线段
.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3d97cdc586744d208b6f69c9813af977.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/52705567101a48893de582656ef41527.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6d77412dbb9c572add4d1033b9d2b76f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/20a541b81584a032f571159ea152c85a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/fcd0ced286a0fbc7e4862f8147264277.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b90e0f35eda1a729fed485f83da5ea9d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/866b81a8384cce4f24867baca2e6820c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3fef27cb7cb1b666c1734c65a7aa9aa4.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3d97cdc586744d208b6f69c9813af977.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/60ef95894ceebaf236170e8832dcf7e3.png)
![](https://img.xkw.com/dksih/QBM/editorImg/2023/8/5/0529419e-9704-4645-88c3-f71187e15ac4.png?resizew=92)
(1)请在图中作出线段
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/60ef95894ceebaf236170e8832dcf7e3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3fef27cb7cb1b666c1734c65a7aa9aa4.png)
(2)求证:
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b90e0f35eda1a729fed485f83da5ea9d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/60ef95894ceebaf236170e8832dcf7e3.png)
20-21九年级下·广东广州·期中 查看更多[4]
广东广州萝岗区华南师范大学附属外国语学校2020-2021学年九年级下学期期中数学试题(已下线)专题2.49 圆(全章知识梳理与考点分类讲解)-2023-2024学年九年级数学上册基础知识专项突破讲与练(苏科版)(已下线)第01讲 圆(10类题型)-【帮课堂】2023-2024学年九年级数学上册同步学与练(浙教版)(已下线)专题24.38 圆(全章知识梳理与考点分类讲解)-2023-2024学年九年级数学上册基础知识专项突破讲与练(人教版)
更新时间:2023-08-04 16:55:06
|
相似题推荐
解答题-问答题
|
较易
(0.85)
【推荐1】如图,已知
是
的外接圆,
.
(1)求
的正弦值;
(2)求弦
的长.
![](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/fd027453ecf64f9a0d7cc51dee000413.png)
![](https://img.xkw.com/dksih/QBM/editorImg/2023/7/19/0e3030c3-a703-4045-9daa-53b65eed7291.png?resizew=144)
(1)求
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a457b899731577bfe61dda594ae4eec4.png)
(2)求弦
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0dc5c9827dfd0be5a9c85962d6ccbfb1.png)
您最近一年使用:0次
解答题-证明题
|
较易
(0.85)
名校
【推荐2】如图,AD是△ABC的中线,DE⊥AC于点E,DF是△ABD的中线,且CE=2,DE=4,AE=8.
;
(2)求DF的长.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4795ee1f96b430529934e2231b38885d.png)
(2)求DF的长.
您最近一年使用:0次
解答题-作图题
|
较易
(0.85)
【推荐1】已知△ABC中,AB=AC,周长为54cm,(1)作出AC边上的中线BD;(2)若BD把△ABC分成周长差为6cm的两个三角形,求△ABC各边长.
![](https://img.xkw.com/dksih/QBM/2020/12/6/2608241377533952/2609937728716800/STEM/9e140378-cedc-4dc9-b949-5824f8843130.png)
您最近一年使用:0次
解答题-作图题
|
较易
(0.85)
【推荐2】利用网格线作图:
![](https://img.xkw.com/dksih/QBM/editorImg/2022/11/24/c167fd72-58cf-436c-b821-c241b9b44c6a.png?resizew=187)
(1)在
上找一点
,使点
到
和
的距离相等;
(2)在射线
上找一点
,使
.
![](https://img.xkw.com/dksih/QBM/editorImg/2022/11/24/c167fd72-58cf-436c-b821-c241b9b44c6a.png?resizew=187)
(1)在
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0dc5c9827dfd0be5a9c85962d6ccbfb1.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dad2a36927223bd70f426ba06aea4b45.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dad2a36927223bd70f426ba06aea4b45.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f52a58fbaf4fea03567e88a9f0f6e37e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/60ef95894ceebaf236170e8832dcf7e3.png)
(2)在射线
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/20a541b81584a032f571159ea152c85a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/acc290b44635265137fdf13146b6a6d9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9b12b6d1e4fc6fce56bf1bd6d4e41ae1.png)
您最近一年使用:0次
解答题-作图题
|
较易
(0.85)
【推荐1】如图,在平面直角坐标系中,已知
的三个顶点的坐标分别为
,
,
.
的外接圆的半径为_________.
(2)将
绕点
顺时针旋转
后得到
,请在图中画出
;
(3)在(2)的条件下,求出线段
扫过的区域图形的周长.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/15c0dbe3c080c4c4636c64803e5c1f76.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7941eefc4e262e5144d8dfe74f58fc5b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/28c47f0cc43eaace61a1988d9b1be9b8.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2b18bf8c9cb0542d3fefca36bf4f98e6.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/15c0dbe3c080c4c4636c64803e5c1f76.png)
(2)将
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/15c0dbe3c080c4c4636c64803e5c1f76.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7f9e8449aad35c5d840a3395ea86df6d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c02b54dc6b3e1bb6544f47d4c8743fcf.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7988923407b9abb78ef8ab45829678fa.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7988923407b9abb78ef8ab45829678fa.png)
(3)在(2)的条件下,求出线段
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/60ef95894ceebaf236170e8832dcf7e3.png)
您最近一年使用:0次
解答题-问答题
|
较易
(0.85)
【推荐2】若
、
+1、5为一个直角 三角形的三条边长,回答下列问题:
(1)求
的值;
(2)求此三角形外接圆的半径.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/81dea63b8ce3e51adf66cf7b9982a248.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/81dea63b8ce3e51adf66cf7b9982a248.png)
(1)求
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/81dea63b8ce3e51adf66cf7b9982a248.png)
(2)求此三角形外接圆的半径.
您最近一年使用:0次
解答题-作图题
|
较易
(0.85)
【推荐1】如图,小明家屋前有一块矩形空地,在空地上的点A、B、C处种有三棵树,小明想在矩形的空地上建一个圆形花坛,使这三棵树都在花坛的边上.
(1)请你帮小明把花坛的位置画出来(用直尺和圆规作图,保留作图痕迹);
(2)若
,求小明家花坛的周长(结果保留π)
![](https://img.xkw.com/dksih/QBM/editorImg/2023/10/25/6f13f369-a9e5-400e-a01a-665a1699998c.png?resizew=222)
(1)请你帮小明把花坛的位置画出来(用直尺和圆规作图,保留作图痕迹);
(2)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ddf5613494030055842fe0fd38c4b55c.png)
您最近一年使用:0次
解答题-作图题
|
较易
(0.85)
【推荐2】如图,在
中,
.
![](https://img.xkw.com/dksih/QBM/editorImg/2022/12/11/806bf0ef-65d1-4cea-9e8b-66542270204c.png?resizew=148)
(1)求作
的外接圆
;(要求,尺规作图,不写作法.保留作图痕迹)
(2)在(1)的条件下,
的平分线交
于点
.连接
.若
,
,求
的长.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dd967903ed5a6f640a5b801ec8be0070.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7e3262fc038bbec5e7c8cc47df08bef7.png)
![](https://img.xkw.com/dksih/QBM/editorImg/2022/12/11/806bf0ef-65d1-4cea-9e8b-66542270204c.png?resizew=148)
(1)求作
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/15c0dbe3c080c4c4636c64803e5c1f76.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3d97cdc586744d208b6f69c9813af977.png)
(2)在(1)的条件下,
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8fabb884dc5f9609de491245463bbe9a.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/03902478df1a55bc99703210bccab910.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f1682d306c38087d9e6f7efb9cec596a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/07140f277a35733d8c97577ccdd4e3ab.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/03902478df1a55bc99703210bccab910.png)
您最近一年使用:0次