真题
1 . 如图是我国汉代赵爽在注解《周髀算经》时给出的,人们称它为“赵爽弦图”,它是由四个全等的直角三角形和一个小正方形组成.在正方形
中,
.下列三个结论:①若
,则
;②若
的面积是正方形
面积的3倍,则点F是
的三等分点;③将
绕点A逆时针旋转
得到
,则
的最大值为
.其中正确的结论是( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5cb3f9a5da641be35117fd35ba07a6aa.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/fc34db5860990e51ba31edc8cdd077c2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4d5c4589a6d09a80b89cc085011b010d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/aeedb5f361a1baff6338436fff6c471d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/368db4af7796defbddf91ce762c7afe8.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/611f100dcfa7803db6eb233e2e7f2dab.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/77a7e4a6765ce78b05ee97764771e01f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1bc727c642cbc2181476b7dd8eca471e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c02b54dc6b3e1bb6544f47d4c8743fcf.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ba8180c6da3052be79fbbb5eaf571486.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/98942be2b43f4ce8c804002f9cdc5719.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c035445c92bcaa2ed325ce37d12359c4.png)
A.①② | B.①③ | C.②③ | D.①②③ |
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2 . 如图,抛物线
与x轴交于A,B两点(点A在点B的左侧),与y轴交于点C.若点D为抛物线上一点且横坐标为
,点E为y轴上一点,点F在以点A为圆心,2为半径的圆上,则
的最小值 __________________ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d6fa2c188968df2f9b53ae0888bc690b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6dbf80cb71406fd14621139149f7ed9e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c8a18d67074edfc48a7ed069e0fc9129.png)
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真题
3 . 如图,
是等腰直角三角形,
,
,点
,
分别在
,
边上运动,连结
,
交于点
,且始终满足
,则下列结论:①
;②
;③
面积的最大值是
;④
的最小值是
.其中正确的是( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/15c0dbe3c080c4c4636c64803e5c1f76.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/45acdbac251ca6b76a166c1242e71df9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3d2c15801fee2405573677484f5dcfa4.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/60ef95894ceebaf236170e8832dcf7e3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0dc5c9827dfd0be5a9c85962d6ccbfb1.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/68a83fdd2ba72a2dba0b6b10bb3e06b9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d40b319212a7e7528b053e1c7097e966.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a0ed1ec316bc54c37c4286c208f55667.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9555c33c74280dcf9be3958e12a2109f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/339b2711bee0b6bf5a04a48226786c20.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f2d49bc5b38319e3c2c48889e6b1fcff.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/004104bafb5f30338123d4ea2b7fedde.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b61b7416bc7deb40caca231375213b08.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4cae70b8a9d2d2e96dea62c00ced04b9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/36852ef951ef72606e4032f4e4881f48.png)
A.①③ | B.①②④ | C.②③④ | D.①②③④ |
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名校
4 . 如图,半圆
的半径为
于
于
,且
是半圆上任意一点,则封闭图形
面积的最大值是______ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1dde8112e8eb968fd042418dd632759e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5cd535638591417cde63607484d85935.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c82febef170dacdd46c0c825d158fda4.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7f9e8449aad35c5d840a3395ea86df6d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f2c5eb66fb0ac5407f191345c739320e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6df2bfdedf2cecdb8d92eb4cfd678b6a.png)
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2024-05-06更新
|
191次组卷
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3卷引用:2024年江苏省常州市第二十四中学、教科院、市实验中学联考中考一模数学试题
24-25九年级上·全国·课后作业
5 . 如图,在平面直角坐标系中,点C是以点
为圆心,1个单位长度为半径的圆上一点,点B的坐标为
,连接
,D是
的中点,连接
,求
的最大值.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e6d9a25d20b86c2583f6c071091e8e3a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/cb442fb1fe1a5d9768cf11c3e1b7ec5b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0dc5c9827dfd0be5a9c85962d6ccbfb1.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0dc5c9827dfd0be5a9c85962d6ccbfb1.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/683c590673eece14fea3319c4fd5eb55.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/683c590673eece14fea3319c4fd5eb55.png)
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6 . 如图,正方形
的边长为
,线段
绕着点
逆时针方向旋转,且
,连接
,以
为边作正方形
,
为
边上的点,且
,当线段
的长最小时,![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a51bf963ebbb155d396d7e750f23020a.png)
______ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5cb3f9a5da641be35117fd35ba07a6aa.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e78c013cb4fc61193b651072d5e15de4.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a6b41d4070854edfaa24071137b314cb.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c5db41a1f31d6baee7c69990811edb9f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/65ff13b4da65c7da3d898ba58e967b24.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d0213c5787a5a6b38d11bceca5567f67.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d0213c5787a5a6b38d11bceca5567f67.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8066012445d9a1cb6466d3d131d86d8f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ac047e91852b91af639feec23a9598b2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b79dd200766db27fb90d6bd1992cf658.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ede3182b35d7440d5803dc531ba35efa.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0234cd0cb930b3179609d289c90e22cf.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a51bf963ebbb155d396d7e750f23020a.png)
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名校
7 . 如图,正方形边长为a,点E是正方形
内一点,满足
,连接
.给出下面四个结论:①
;②
;③
的度数最大值为
;④当
时,
.上述结论中,所有正确结论的序号为( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/411b38a18046fea8e9fab1f9f9b80a5f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f1070d38d2fea1dc88c6eb31d320b763.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4eedae8d316c76e3d0b451256de03fb9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2c7e63f2befe22c5e2ed3c3c357df28e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e3b5a2b1bf3cb49db39546e9163d3e4d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/db866ecc0c098bfc32ec8a43b65bdd58.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/be6a6301878fed2a01413020b27310a5.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2c6544495cdd913adfa727bda882a943.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9f8ba7fee32e9bbed7c7dd4488cf95c2.png)
A.①② | B.①③ | C.①④ | D.①③④ |
您最近一年使用:0次
2024-03-26更新
|
599次组卷
|
6卷引用:2024年北京市中国人民大学附属中学朝阳学校中考一模数学试题
8 . 如图,线段
为
的直径,点
在
的延长线上,
,
,点
是
上一动点,连接
,以
为斜边在
的上方作
,且使
,连接
,则
长的最大值为( )
![](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/f52a58fbaf4fea03567e88a9f0f6e37e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3d2c15801fee2405573677484f5dcfa4.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ef0402dd5ae3db10281f9f1e11738bcb.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/63a253c7fdf589ee3dece13d5b5b5732.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/63a253c7fdf589ee3dece13d5b5b5732.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/48f3c9abbd78e9a6840ee5f30381daac.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/26419b6d59d09118c165d2c62274a81f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/256bff0a3fa0630ac64fed2fba20e559.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/683c590673eece14fea3319c4fd5eb55.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/683c590673eece14fea3319c4fd5eb55.png)
A.![]() | B.![]() | C.![]() | D.![]() |
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2023-12-26更新
|
172次组卷
|
2卷引用:江苏省无锡市江阴市祝塘第二中学2023-2024学年九年级上学期12月月考数学试题
9 . 如图,已知空间站A与星球B距离为a,信号飞船C在星球B附近沿圆形轨道行驶,B,C之间的距离为b.数据S表示飞船C与空间站A的实时距离,那么S的最小值是( )
A.a | B.![]() | C.![]() | D.b |
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2024-03-14更新
|
99次组卷
|
16卷引用:河北省唐山市迁安市2021-2022学年九年级上学期期末考试数学试题
河北省唐山市迁安市2021-2022学年九年级上学期期末考试数学试题(已下线)第05讲 圆-【帮课堂】2022-2023学年九年级数学上册同步精品讲义(苏科版)(已下线)专题20 点到圆的距离最值问题-【微专题】2022-2023学年九年级数学上册常考点微专题提分精练(人教版)(已下线)第11讲 圆-【帮课堂】2022-2023学年九年级数学下册同步精品讲义(北师大版)2023年吉林省长春市南关区五校中考一模数学试题(已下线)第01讲 圆的基本概念和性质(知识解读+真题演练+课后巩固)-2023-2024学年九年级数学上册《知识解读·题型专练》(苏科版)(已下线)第01讲 圆的基本概念和性质(知识解读+真题演练+课后巩固)-2023-2024学年九年级数学上册《知识解读·题型专练》(浙教版)河北省秦皇岛市青龙县2022-2023学年九年级下学期开学考试数学试题(已下线)第01讲 圆的基本概念和性质(知识解读+真题演练+课后巩固)-2023-2024学年九年级数学上册《知识解读·题型专练》(人教版)河北省保定市定兴县天宫寺中学2022-2023学年九年级上学期期末数学试题河北省廊坊市育人学校2023-2024学年九年级上学期第二次月考数学试题河北省石家庄市第八十九中学2023-2024学年九年级上学期月考数学试题河北省秦皇岛市青龙满族自治县2023-2024学年九年级上学期期末数学试题(已下线)第01讲 圆的基本概念和性质(知识解读+题型精讲+随堂检测)-2023-2024学年九年级数学下册《知识解读·题型专练》(北师大版) 河北省保定市竞秀区2023-2024学年九年级下学期开学考试数学试题2024年河北省邯郸市广平县中考一模数学试题
真题
名校
10 . 如图,在四边形
中,
,点E在线段
上运动,点F在线段
上,
,则线段
的最小值为__________ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/411b38a18046fea8e9fab1f9f9b80a5f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2a1ddc09a6c56e74a750cbfea6de0085.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0dc5c9827dfd0be5a9c85962d6ccbfb1.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/68a83fdd2ba72a2dba0b6b10bb3e06b9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/95020f773f8a4af2eee7912638284140.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/274cf35acb4a1748d15c39d15a9bea7b.png)
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2023-06-27更新
|
2012次组卷
|
14卷引用:2023年山东省菏泽市中考数学真题
2023年山东省菏泽市中考数学真题(已下线)专题28 动点综合问题(共32题)-学易金卷:2023年中考数学真题分项汇编(全国通用)(已下线)专题24直角三角形与勾股定理(优选真题60道)-学易金卷:三年(2021-2023)中考数学真题分项汇编【全国通用】(已下线)专题2.18 圆周角(直通中考)(培优练)-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)专题2.54 圆(全章直通中考)(提升练)-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)专题12三角形(精选37题)-学易金卷:三年(2021-2023)中考数学真题分项汇编【山东专用】(已下线)专题24.14 圆周角(直通中考)(培优练)-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)天津市和平区2023-2024学年九年级上学期期中数学试题(已下线)专题24.43 圆(全章直通中考)(提升练)-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)(已下线)专题 2 填空题题型广东省广州市天河区广州市第一一三中学2023-2024学年九年级下学期月考数学试题山东省枣庄市滕州市洪绪镇洪绪中学2023-2024学年九年级4月数学模拟预测题(已下线)重难点02+三角形与特殊三角形22024年河南省周口市沈丘县2校中考二模联考数学试题