1 . 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
|
360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
2 . 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)
您最近一年使用:0次
2022-11-04更新
|
106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
3 . 物线与
轴交于
两点,其中点
的坐标为
,与
轴交于点
,点
为抛物线的顶点,且点
的横坐标为
.
![](https://img.xkw.com/dksih/QBM/editorImg/2022/11/7/de7ced19-1905-4b08-9116-4a45e8136964.png?resizew=186)
(1)求此抛物线的函数表达式;
(2)求
的面积;
(3)若点
是
轴下方拋物线上任意一点,已知
的半径为2,当
与坐标轴相切时,圆心
的坐标是_____________.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/81dea63b8ce3e51adf66cf7b9982a248.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e52586ca2a3b783bc8092415e2d4bf6d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7f9e8449aad35c5d840a3395ea86df6d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dcbcd0aebdd8bd688d108834747009f5.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d053b14c8588eee2acbbe44fc37a6886.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ae140e4db2c5563e5f902fcbebaac262.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8455657dde27aabe6adb7b188e031c11.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8455657dde27aabe6adb7b188e031c11.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/acbc6a613224461ade69362d46550474.png)
![](https://img.xkw.com/dksih/QBM/editorImg/2022/11/7/de7ced19-1905-4b08-9116-4a45e8136964.png?resizew=186)
(1)求此抛物线的函数表达式;
(2)求
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/661ff55b5ebbadfb600989af3cfce2fd.png)
(3)若点
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dad2a36927223bd70f426ba06aea4b45.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/81dea63b8ce3e51adf66cf7b9982a248.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2d1d9218917d85a1dc19e60f076b8bfa.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2d1d9218917d85a1dc19e60f076b8bfa.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dad2a36927223bd70f426ba06aea4b45.png)
您最近一年使用:0次
2022-11-04更新
|
329次组卷
|
4卷引用:第5章 二次函数(B卷·能力提升练)-【单元测试】2022-2023学年九年级数学下册分层训练AB卷(苏科版)
(已下线)第5章 二次函数(B卷·能力提升练)-【单元测试】2022-2023学年九年级数学下册分层训练AB卷(苏科版)江苏省徐州市沛县2022-2023学年九年级上学期期中数学试题江苏省徐州市市区2022-2023学年九年级上学期期中数学试题(已下线)2023江苏省苏州市中考数学变式题22-27题
22-23九年级上·全国·单元测试
4 . 如图,⊙O的直径
cm,D为⊙O上一点,
,过点D的切线交
的延长线于点C.则
的度数是_____ ;
的长是_____ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/305a88d4e0249bd16d48eda01331d2d4.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7e4dbea6a5faecdd8f6c06cf9fd43a90.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f52a58fbaf4fea03567e88a9f0f6e37e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3981e7286d41960daf4e110c1c84e03a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/60ef95894ceebaf236170e8832dcf7e3.png)
![](https://img.xkw.com/dksih/QBM/2022/10/6/3081681732321280/3101682953928704/STEM/5e835b71bafc454088ce79c58c574067.png?resizew=180)
您最近一年使用:0次
5 . 如图,等边三角形
的边长为4,
的半径为
,
为
边上一动点,过点
作
的切线
,切点为
,则
的最小值为( )
![](https://img.xkw.com/dksih/QBM/editorImg/2022/10/30/422f6ea9-6537-4a53-a896-1805bcb4477e.png?resizew=135)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7bef5239ddbb0972700ce01daf9ee7cf.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/923c80b5fd640edf1f80ea280be8ab1b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/cef812f839622326a7d7027cc806aaeb.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0fc5c19ac440746be97d8b46af5d288a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f52a58fbaf4fea03567e88a9f0f6e37e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0fc5c19ac440746be97d8b46af5d288a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/923c80b5fd640edf1f80ea280be8ab1b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7a5f1641947153c80b987320885a2b57.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2eacd9c1ce5e65fec29c32f40d86b73d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7a5f1641947153c80b987320885a2b57.png)
![](https://img.xkw.com/dksih/QBM/editorImg/2022/10/30/422f6ea9-6537-4a53-a896-1805bcb4477e.png?resizew=135)
A.![]() | B.![]() | C.3 | D.![]() |
您最近一年使用:0次
6 . 在平面直角坐标系中,已知点A的坐标为
,若
与坐标轴有三个公共点,则
的半径为 _____ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/fad20e2bc6576fc461419f8f138d26e7.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3c20d0b44025a639ce3a92d639dae587.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3c20d0b44025a639ce3a92d639dae587.png)
您最近一年使用:0次
2022-10-24更新
|
225次组卷
|
5卷引用:第三章 圆(B卷·能力提升练)-【单元测试】2022-2023学年九年级数学下册分层训练AB卷(北师大版)
(已下线)第三章 圆(B卷·能力提升练)-【单元测试】2022-2023学年九年级数学下册分层训练AB卷(北师大版)江苏省无锡市江阴市华士实验中学2022-2023学年九年级上学期10月月考数学试题云南省曲靖市会泽县以礼中学校2022-2023学年九年级上学期11月月考数学试题江苏省宿迁市宿城区2022-2023学年九年级上学期期中数学试题(已下线)专题04 点和圆、直线和圆的位置关系(经典基础题8种题型+优选提升题)-【好题汇编】备战2023-2024学年九年级数学上学期期中真题分类汇编(苏科版)
7 . 如图,在
中,∠C=90°,AC=3,BC=4,半径为2的⊙O与AC,BC分别相切于点D,E,将线段AB沿着射线CA的方向平移得到线段
,若
与⊙O相切于点F,连接EF,则EF的值为___________ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7281b641656a5992abaafb4190ca9afc.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7bb0628cecbfc98d390e5447d52414e8.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7bb0628cecbfc98d390e5447d52414e8.png)
![](https://img.xkw.com/dksih/QBM/2022/10/12/3085992348991488/3090277407252480/STEM/b55d2da8700b4bffbd4814f8a72a10ca.png?resizew=179)
您最近一年使用:0次
8 . 在△ABC中,∠ACB=90°,CA=CB=4,点D在BC上,且BD=2,以B为圆心,将BD顺时针旋转270°,形成优弧DF,P为优弧DF上一点,线段CP绕着点C顺时针旋转90°,得到线段CE,连接PB,AE.
![](https://img.xkw.com/dksih/QBM/editorImg/2022/10/16/86dc4da6-83d4-4abc-a1a4-e662e1dcc6de.png?resizew=196)
(1)求证:AE=BP;
(2)若CP与优弧相切,则符合条件的P点有_________个,CP=_________;
(3)当
时,求∠CBP的度数.
![](https://img.xkw.com/dksih/QBM/editorImg/2022/10/16/86dc4da6-83d4-4abc-a1a4-e662e1dcc6de.png?resizew=196)
(1)求证:AE=BP;
(2)若CP与优弧相切,则符合条件的P点有_________个,CP=_________;
(3)当
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/372727cd89ee7d67787d14aa70b1b9a9.png)
您最近一年使用:0次
真题
9 . 如图,
是
的外接圆,
与
相切于点D,
分别交
,
的延长线于点E和F,连接
交
于点N,
的平分线
交
于点M.
![](https://img.xkw.com/dksih/QBM/editorImg/2022/10/2/9666b482-4f73-4918-ba8c-d82e0c197fec.png?resizew=230)
(1)求证:
平分
;
(2)若
,
,求线段
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/49b50357a6545cae8348e3059312f520.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3d97cdc586744d208b6f69c9813af977.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/476b0b8378f4b0f73f3dc5d84d89f616.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/03902478df1a55bc99703210bccab910.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0dc5c9827dfd0be5a9c85962d6ccbfb1.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d39b8d91afc34e4a9b0fdbb6bafb9087.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e69d2b798744645af88a4fa411344a83.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/03902478df1a55bc99703210bccab910.png)
![](https://img.xkw.com/dksih/QBM/editorImg/2022/10/2/9666b482-4f73-4918-ba8c-d82e0c197fec.png?resizew=230)
(1)求证:
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/03902478df1a55bc99703210bccab910.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7cbce11aa19b8bd2bf6ee5a834e005de.png)
(2)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/abe9e810c9dcace5a59f63aea023457c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/da617789f19cad2b506d0b6eb7e6fb7c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/15a424b50eaeafa6f302ffd95476cb86.png)
您最近一年使用:0次
2022-10-01更新
|
1820次组卷
|
7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2022年内蒙古呼伦贝尔市、兴安盟中考数学真题(已下线)专题3.55 圆中的相似问题(巩固篇)(专项练习)-2022-2023学年九年级数学下册基础知识专项讲练(北师大版)2023年浙江省杭州市中考模拟训练卷(已下线)黄金卷1-【赢在中考·黄金8卷】备战2023年中考数学全真模拟卷(沈阳专用)(已下线)专题09 圆的相关计算问题-学易金卷:2023年中考数学一模试题分项汇编(浙江专用)(已下线)湖北省襄阳五中华侨城实验学校2023-2024学年九年级上学期数学周测(16)
22-23九年级·全国·单元测试
10 . 如图,
是
的外接圆,
为直径,
,
于
,
于
,
![](https://img.xkw.com/dksih/QBM/editorImg/2022/10/1/60aa09f1-b35b-44e0-912b-e3ef02498335.png?resizew=204)
(1)判断
的形状;
(2)设
的半径为1,且
,求证:
.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3d97cdc586744d208b6f69c9813af977.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b3d2eae98e1683fbb9533584450dd696.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f52a58fbaf4fea03567e88a9f0f6e37e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2fb01d2b57580731c8b807ac8cffc8ba.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3e07c059cf40ea7392999ef9b66b2335.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c5db41a1f31d6baee7c69990811edb9f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7f8daff96303a07819bd4ee47731e73b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a0ed1ec316bc54c37c4286c208f55667.png)
![](https://img.xkw.com/dksih/QBM/editorImg/2022/10/1/60aa09f1-b35b-44e0-912b-e3ef02498335.png?resizew=204)
(1)判断
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/81b0907dd4ca05c9733b23f552b5226f.png)
(2)设
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3d97cdc586744d208b6f69c9813af977.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/210151fa0553c58334dcd0bbc4cd3e61.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/84e6e8bd97f118900bced60bff8a5d79.png)
您最近一年使用:0次