1 . 如图1,四边形
是矩形,
是矩形
的一条对称轴,点E、F分别在边
和
上,过点B折叠矩形,折痕为
,使点A落在
的点N处,
![](https://img.xkw.com/dksih/QBM/editorImg/2023/6/10/61be3810-6cdc-40e5-8068-0340ca03cc56.png?resizew=654)
(1)求
的度数
(2)如图2,将
延长交
于点G,将
沿
折叠,点B刚好落在
边上点H处,连接
,得到四边形
,求证:四边形
是菱形
(3)如图3,点Q在线段
上移动,做等边三角形
,P、Q在
的同侧,请你连接
得到
,
的度数是否发生改变?请说明理由
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/411b38a18046fea8e9fab1f9f9b80a5f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/49b50357a6545cae8348e3059312f520.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/9d78abbad68bbbf12af10cd40ef4c353.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e69d2b798744645af88a4fa411344a83.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/49b50357a6545cae8348e3059312f520.png)
![](https://img.xkw.com/dksih/QBM/editorImg/2023/6/10/61be3810-6cdc-40e5-8068-0340ca03cc56.png?resizew=654)
(1)求
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2eefb9a7a779b6c8d21187ee751c420a.png)
(2)如图2,将
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/411461db15ee8086332c531e086c40c7.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0dc5c9827dfd0be5a9c85962d6ccbfb1.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/234cdeeee94033501fca6596894f7b4f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/67c015d99f2677951bdcd0447240ef93.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/03902478df1a55bc99703210bccab910.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e42887d9bf31c1dd99f13c39e63c9ab9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/92194db2453304cea445021d04283065.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/92194db2453304cea445021d04283065.png)
(3)如图3,点Q在线段
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/be2e2c0d4ac2bd79f6cea7a9b1a50662.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/46c6b1e9e2a44f8330300e5e6480b34a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/49b50357a6545cae8348e3059312f520.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2cdba1337ec85fa9722cb4b320a82ae6.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/78cb7e03fbf8d653360a69496b956340.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/78cb7e03fbf8d653360a69496b956340.png)
您最近一年使用:0次
名校
2 . 如图,正方形
中,
,连接
,
的平分线交
于点
,在
上截取
,连接
,分别交
,
于点
,
,点
是线段
上的动点,
于点
,连接
.下列结论:
![](https://img.xkw.com/dksih/QBM/editorImg/2023/4/27/aa167f24-a40b-4b89-a2ce-50a733c07ce2.png?resizew=155)
①
;②
;③
;④
的最小值是
,其中所有正确结论的序号是______ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/411b38a18046fea8e9fab1f9f9b80a5f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ced06b71073e1bb777f326f06016ce17.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/60ef95894ceebaf236170e8832dcf7e3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/bdb8eca20ce2c918ea4034ea15210c7f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/03902478df1a55bc99703210bccab910.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2a30f3a8b673cc28bd90c50cf1a35281.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f52a58fbaf4fea03567e88a9f0f6e37e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a0a3600b1760a63a10c9a0429b439dc1.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d004d2d115b477ade6af7ddb93db0df8.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4eedae8d316c76e3d0b451256de03fb9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9abaeba15f3abdd877bc701af52c5cd9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/895dc3dc3a6606ff487a4c4863e18509.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/73465a1f9aa03481295bf6bd3c6903ac.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dad2a36927223bd70f426ba06aea4b45.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f8e5f736b1195fef1d2d300168a795f1.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/92b154270249b0ef54ddb26137b2681a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/acc290b44635265137fdf13146b6a6d9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/35d58f9019097bd05037aefd5c322916.png)
![](https://img.xkw.com/dksih/QBM/editorImg/2023/4/27/aa167f24-a40b-4b89-a2ce-50a733c07ce2.png?resizew=155)
①
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/783b84ed8d927b77491092f7d2ee2989.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/81862e1f06c9568a2a799e1a4c875062.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/daad4b149611c968d5e817ff52da9c94.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/748455faa3a3d449479601f605f14025.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8d5989c84e320b504511f23eeb6e7357.png)
您最近一年使用:0次
2023-04-20更新
|
200次组卷
|
2卷引用:2023年广西壮族自治区玉林市玉州区中考一模数学试题
2011·北京·一模
名校
3 . 如图甲,在
中,
为锐角,点
为射线
上一动点,连接
,以
为一边且在
的右侧作正方形
.解答下列问题:
,
,
①当点
在线段
上时(与点
不重合),如图乙,线段
、
之间的位置关系为______,数量关系为______.
②当点
在线段
的延长线上时,如图丙,①中的结论是否仍然成立,为什么?
(2)如果
,
,点
在线段
上运动.试探究:当
满足一个什么条件时,
(点
、
重合除外)?并说明理由.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/15c0dbe3c080c4c4636c64803e5c1f76.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8fabb884dc5f9609de491245463bbe9a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8455657dde27aabe6adb7b188e031c11.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0dc5c9827dfd0be5a9c85962d6ccbfb1.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/03902478df1a55bc99703210bccab910.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/03902478df1a55bc99703210bccab910.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/03902478df1a55bc99703210bccab910.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3ecc1cb55a57dde481f8dd07ab150676.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/047dc9795efa99b6fb9fdf9778085dab.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9c06154cae3bf7a8ce5a1e97a7380875.png)
①当点
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8455657dde27aabe6adb7b188e031c11.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/4cae70b8a9d2d2e96dea62c00ced04b9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d40b319212a7e7528b053e1c7097e966.png)
②当点
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8455657dde27aabe6adb7b188e031c11.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0dc5c9827dfd0be5a9c85962d6ccbfb1.png)
(2)如果
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d6eab933fd3ed8a3a412a6f268d4cef4.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5306ee783ec381da6c03d4fb7ecb4395.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8455657dde27aabe6adb7b188e031c11.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0dc5c9827dfd0be5a9c85962d6ccbfb1.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/15c0dbe3c080c4c4636c64803e5c1f76.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1cda3d82614321b58cde7bbde4ad13eb.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c5db41a1f31d6baee7c69990811edb9f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a0ed1ec316bc54c37c4286c208f55667.png)
您最近一年使用:0次
2023-04-15更新
|
343次组卷
|
46卷引用:2016-2017学年广西贵港市港南区九年级上期中数学试卷
2016-2017学年广西贵港市港南区九年级上期中数学试卷(已下线)北京四中2011年中考数学全真模拟试题44(已下线)2012届北京顺义区中考模拟数学卷(已下线)2011-2012学年河北省石家庄市42中学九年级第一次模拟考试数学卷2013届江苏省无锡市新区第一实验学校九年级下学期期中考试数学试卷2017届辽宁营口大石桥市水源中学九年级上期中数学卷2017届辽宁营口大石桥水源中学九年级上期中数学试卷人教版九年级数学上册第23章旋转章末测试题人教版九年级数学上学期第23章旋转单元检测题【市级联考】辽宁省大连市2019届九年级上期第一次月考数学试卷山东省德州市陵城区2019-2020学年九年级上学期期末数学试题2020年河北省初中毕业生升学文化课考试数学模拟卷(已下线)第06课 特殊平行四边形 解答题(难点1-动态几何)-2022-2023学年九年级数学上册课后培优分级练(北师大版)福建省莆田市秀山中学2021-2022学年九年级上学期期中考试数学试卷江西省赣州市南康区第五中学2022-2023学年九年级上学期期末线上测试数学试题2024年河南省平顶山市宝丰县一模数学试题2024年山东省菏泽市单县湖西学校中考一模考试数学模拟试题2014-2015学年江苏江都区郭村一中八年级上学期第一次月考数学试卷江苏省无锡市前洲中学2016-2017学年八年级10月月考数学试题江苏省盐城市龙冈共同体2017-2018学年八年级上学期第一次月考数学试题人教版数学八年级上册第12章全等三角形 检测卷陕西省西安高新一中2018年七年级下学期大练习数学试题沪教版(上海)八年级上19.2第4课时证明举例(4)山东省济南市历下区2019-2020学年七年级下学期期末数学试题陕西省咸阳天王学校2020-2021学年八年级上学期开学考试数学试题江苏省丰县欢口镇欢口初级中学2020-2021学年八年级上学期第一次月考数学试题(已下线)第12章 全等三角形单元检测-2020-2021学年八年级数学上册专项易错混淆真题选(人教版)福建省龙岩市长汀县部分学校2021-2022学年八年级上学期10月月考数学试题湖南省衡阳市田家炳实验中学2021-2022学年八年级上学期期中数学试题湖北省孝感市云梦县实验外国语中学2021-2022学年八年级上学期期末考试数学试题四川省眉山市仁寿县2021-2022学年八年级上学期期末数学试题(已下线)第22章 四边形(压轴30题专练)-2021-2022学年八年级数学下学期考试满分全攻略(沪教版)(已下线)专题12.40 《全等三角形》全章复习与巩固(巩固篇)(专项练习)-2022-2023学年八年级数学上册基础知识专项讲练(人教版)湖北省十堰市房县2021-2022学年八年级下学期期末数学试题山东省淄博市高青县2021-2022学年七年级下学期期末数学试题福建省泉州市安溪县第一中学2021—2022学年上学期八年级期中质量检测数学试卷(已下线)第12章 全等三角形(基础、常考、易错、压轴)分类专项训练-2022-2023学年八年级数学考试满分全攻略(人教版)河南省郸城县实验2022-2023学年八年级上学期第二次线上考试数学试题四川省资阳市安岳县2022-2023学年八年级上学期期末数学试题(已下线)第十二章 全等三角形 单元过关检测01-2022-2023学年八年级数学上册同步考点知识清单+例题讲解+课后练习(人教版)四川省成都市武侯区北京第二外国语学院成都附属中学2020-2021学年七年级下学期期中数学试题(已下线)专题4.30 三角形全等作辅助线(过点作垂线)(专项练习)-2022-2023学年七年级数学下册基础知识专项讲练(北师大版)(已下线)专题4.31 三角形全等作辅助线(延长相交)(专项练习)-2022-2023学年七年级数学下册基础知识专项讲练(北师大版)(已下线)期中测试卷02(考察内容:第十六、十七、十八章)-2022-2023学年八年级数学下册同步考点知识清单+例题讲解+课后练习(人教版)广东省揭阳市惠来县2021-2022学年七年级下学期期末数学试题广东省江门市尚雅中学2022-2023学年七年级下学期6月月考数学试题
4 . 如图,等边
,点E,F分别在AC,BC边上,
,连接AF,BE,相交于点P.
的度数;
(2)求证:
.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/15c0dbe3c080c4c4636c64803e5c1f76.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d8ce1475f537b4ad21775bfaa16daa0c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f9c0c4e8cd3f3b7939d3010d76564fe8.png)
(2)求证:
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b1b245f1ca3da106d09b4a999d2b8a6b.png)
您最近一年使用:0次
2023-04-15更新
|
231次组卷
|
5卷引用:2024年广西壮族自治区中考数学模拟考试试题
5 . 综合与实践:
在数学活动课上,老师给出了一个等腰直角
,
,
是
边上一点,连接
,如图1所示.请同学们根据自己的兴趣变化图形,并提出一个数学问题.
(1)智慧小组的同学经过一翻讨论后,提出:把
绕点
顺时针旋转
得到
,连接
,
,如图2,请猜想
和
的数量关系,并加以证明;
【拓展应用】
(2)创新小组的同学受智慧小组同学的启发,发现可以把
绕点
顺时针旋转
得
,过点
作
于点
,连接
,如图3所示,请猜想
与
的数量关系,并加以证明;
【兴趣延伸】
(3)辨析小组的同学对智慧小组同学图2中
和
重叠部分的面积很感兴趣,提出:当
,
时,请直接写出 重叠部分的面积.
在数学活动课上,老师给出了一个等腰直角
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/15c0dbe3c080c4c4636c64803e5c1f76.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ed10df4140819d5451773a45de66201b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8455657dde27aabe6adb7b188e031c11.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f52a58fbaf4fea03567e88a9f0f6e37e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9d78abbad68bbbf12af10cd40ef4c353.png)
![](https://img.xkw.com/dksih/QBM/editorImg/2023/8/7/9c51eb24-21b0-4418-847f-a392fade9039.png?resizew=492)
(1)智慧小组的同学经过一翻讨论后,提出:把
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9d78abbad68bbbf12af10cd40ef4c353.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c5db41a1f31d6baee7c69990811edb9f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c02b54dc6b3e1bb6544f47d4c8743fcf.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4eedae8d316c76e3d0b451256de03fb9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e6e490f703eb6c9bb1278c78ebc2d661.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/85c4bdfb0db1e31e8459df1d15f9ab55.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/03902478df1a55bc99703210bccab910.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/85c4bdfb0db1e31e8459df1d15f9ab55.png)
【拓展应用】
(2)创新小组的同学受智慧小组同学的启发,发现可以把
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9d78abbad68bbbf12af10cd40ef4c353.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c5db41a1f31d6baee7c69990811edb9f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/79a97bb4dcfab4ec7539bc783d563c49.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/db54223bb3fc2fe2497213a4d1f94827.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8455657dde27aabe6adb7b188e031c11.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b2b82a30caedf47febbc2ce3cf76f2b0.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/73465a1f9aa03481295bf6bd3c6903ac.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/bcdae78f4d3b8d8213ac3ac9a9567eb5.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/bcdae78f4d3b8d8213ac3ac9a9567eb5.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a6655e2fa64a32cd12fe0279afd65d73.png)
【兴趣延伸】
(3)辨析小组的同学对智慧小组同学图2中
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3a0acc93490a6a784eb62201d93dd93d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/90b40c2b0ab8e1cfe5112d428b4b829f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/04ee826937d2add7a93aaa1422f8b736.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/454328a8e75953fdb0835ce80d9566e3.png)
您最近一年使用:0次
6 . 综合与探究
问题提出:某兴趣小组在综合与实践活动中提出这样一个问题:在等腰直角三角板
中,
,D为
的中点,用两根小木棒构建角,将顶点放置于点D上,得到
,将
绕点D旋转,射线
,
分别与边
交于E,F两点,如图1所示.
![](https://img.xkw.com/dksih/QBM/editorImg/2023/3/31/567fd397-b070-43de-a4cb-b4bc012fe5cf.png?resizew=407)
(1)操作发现:如图2,当E,F分别是
的中点时,试猜想线段
与
的数量关系是 ;
(2)类比探究:如图3,当E,F不是
的中点,但满足
时,求证
;
(3)拓展应用:如图4,将两根小木棒构建的角,放置于边长为4的正方形纸板上,顶点和正方形对角线
的中点O重合,射线
分别与
交于E,F两点,且满足
,请求出四边形
的面积.
问题提出:某兴趣小组在综合与实践活动中提出这样一个问题:在等腰直角三角板
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7bef5239ddbb0972700ce01daf9ee7cf.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/40975f7553d8cfa57951b568bae9c464.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0dc5c9827dfd0be5a9c85962d6ccbfb1.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3a54e7b35c73ee578c4d01479ddb74cc.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3a54e7b35c73ee578c4d01479ddb74cc.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/15a424b50eaeafa6f302ffd95476cb86.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b3533837e3d08c461dea031a44e5424d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7dec2ca6438c82b43f746057d8129885.png)
![](https://img.xkw.com/dksih/QBM/editorImg/2023/3/31/567fd397-b070-43de-a4cb-b4bc012fe5cf.png?resizew=407)
(1)操作发现:如图2,当E,F分别是
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7dec2ca6438c82b43f746057d8129885.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e6e490f703eb6c9bb1278c78ebc2d661.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d004d2d115b477ade6af7ddb93db0df8.png)
(2)类比探究:如图3,当E,F不是
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7dec2ca6438c82b43f746057d8129885.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/97075fe3c2a105f5d2d0a27a9f2b3410.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/da27b5c05775a6efa580420618437391.png)
(3)拓展应用:如图4,将两根小木棒构建的角,放置于边长为4的正方形纸板上,顶点和正方形对角线
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/60ef95894ceebaf236170e8832dcf7e3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/80f65dbed884e2248ec075655c684aa7.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4ced9844fe2e052c70486af0740afa63.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b1db2c0955e5a5be47faf855bca738a4.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e227fce3f8f4165369d0250551ca606a.png)
您最近一年使用:0次
2023-03-29更新
|
421次组卷
|
4卷引用:2023年广西壮族自治区宾阳县年九年级下学期第一次模拟考试数学试题
2023年广西壮族自治区宾阳县年九年级下学期第一次模拟考试数学试题2023年广西南宁市宾阳县中考一模数学试题(已下线)专题20 拓展探究问题-学易金卷:2023年中考数学一模试题分项汇编(全国通用)2023年山东省淄博市高青县中考二模数学试题
7 . 如图,在
中,
,
,D是
边上的一点,连接
,将线段
绕点A按顺时针方向旋转
得到线段
,分别连接
.
![](https://img.xkw.com/dksih/QBM/editorImg/2023/3/24/b675790b-97c5-4ef4-8462-354dcc7950e7.png?resizew=187)
(1)求证:
;
(2)当
,
时,直接写出
的长.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dd967903ed5a6f640a5b801ec8be0070.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9c06154cae3bf7a8ce5a1e97a7380875.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/047dc9795efa99b6fb9fdf9778085dab.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0dc5c9827dfd0be5a9c85962d6ccbfb1.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/03902478df1a55bc99703210bccab910.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/03902478df1a55bc99703210bccab910.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c02b54dc6b3e1bb6544f47d4c8743fcf.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/68a83fdd2ba72a2dba0b6b10bb3e06b9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e9509a3bb3a415f4a2d56796b0d2f418.png)
![](https://img.xkw.com/dksih/QBM/editorImg/2023/3/24/b675790b-97c5-4ef4-8462-354dcc7950e7.png?resizew=187)
(1)求证:
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c45cadfec8bd192111ad163a231314c1.png)
(2)当
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e65a3e478bb87d094e3a0af30dd10ae8.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/32f01c4faacedfe56f5127d6c0cc63cf.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/21037e170bdbb322558e79c40c00b454.png)
您最近一年使用:0次
2023-03-19更新
|
126次组卷
|
2卷引用:广西壮族自治区河池市2022-2023学年九年级上学期期末数学试题
名校
8 . 如图1,已知在
中,
,以
为直径的
交斜边
于点
.
![](https://img.xkw.com/dksih/QBM/editorImg/2023/3/17/ea049925-27b9-4a68-a9d4-44dc4101f7a5.png?resizew=624)
(1)若点
为
中点,连接
,求证:
是
的切线;
(2)如图2,
,垂足为
,若
,
,求
H的长:
(3)如图3,
,在
上取一点
,使
,连接
,
,试探究
、
、
之间的数量关系,并说明理由.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dd967903ed5a6f640a5b801ec8be0070.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ed10df4140819d5451773a45de66201b.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/f52a58fbaf4fea03567e88a9f0f6e37e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2a30f3a8b673cc28bd90c50cf1a35281.png)
![](https://img.xkw.com/dksih/QBM/editorImg/2023/3/17/ea049925-27b9-4a68-a9d4-44dc4101f7a5.png?resizew=624)
(1)若点
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8455657dde27aabe6adb7b188e031c11.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0dc5c9827dfd0be5a9c85962d6ccbfb1.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e6e490f703eb6c9bb1278c78ebc2d661.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e6e490f703eb6c9bb1278c78ebc2d661.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3d97cdc586744d208b6f69c9813af977.png)
(2)如图2,
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/790db8e233280bec605fb7b6c3dfb873.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/73465a1f9aa03481295bf6bd3c6903ac.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/2a30f3a8b673cc28bd90c50cf1a35281.png)
(3)如图3,
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/790db8e233280bec605fb7b6c3dfb873.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/5d14733aa8ee1b11bc861cd581156ea4.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/fc5adb5eb60ae4435a12d93854066298.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/20a541b81584a032f571159ea152c85a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/20a541b81584a032f571159ea152c85a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/826c728050e3378921442ace20269ef6.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8e0ae50d5993a332b5cddb022eaa6f1e.png)
您最近一年使用:0次
名校
9 . 定义:有一组对边相等且这一组对边所在直线互相垂直的凸四边形叫做“等垂四边形”.
![](https://img.xkw.com/dksih/QBM/editorImg/2023/3/16/47fdfc13-08d9-40f9-83d5-ea5990664654.png?resizew=326)
如图①,四边形ABCD与四边形AEFG都是正方形,
,则图中的“等垂四边形”是______ ;
如图②,四边形ABCD是“等垂四边形”,
,
,则边AB长的最小值为______ .
![](https://img.xkw.com/dksih/QBM/editorImg/2023/3/16/47fdfc13-08d9-40f9-83d5-ea5990664654.png?resizew=326)
如图①,四边形ABCD与四边形AEFG都是正方形,
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/41c6940b1a9af59fa3042f8171f6aceb.png)
如图②,四边形ABCD是“等垂四边形”,
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/fc11331a7b2d2619b40ee6d34c3bd620.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/57ebb33adb2310a6e03918761e68204a.png)
您最近一年使用:0次
2023-03-15更新
|
592次组卷
|
4卷引用:2023年广西中考数学真题变式题13-18题
(已下线)2023年广西中考数学真题变式题13-18题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江苏省无锡市江阴市周庄中学2023-2024学年九年级上学期12月月考数学试题(已下线)期中测试卷01(考察内容:第十六、十七、十八章)-2022-2023学年八年级数学下册同步考点知识清单+例题讲解+课后练习(人教版)
10 . 如图,在等腰直角三角形和
中,
,点E在边
上,
与
交于点F,连接
.
(1)求证:
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a269e74c7166d24dba45ff63fd0bbd14.png)
(2)求证:
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1134c8e3440abb6cd385af2c169037fe.png)
您最近一年使用:0次
2023-03-13更新
|
272次组卷
|
4卷引用:2023年广西壮族自治区河池市都安瑶族自治县保安乡保安中学九年级数学第一次模拟试题
2023年广西壮族自治区河池市都安瑶族自治县保安乡保安中学九年级数学第一次模拟试题2015届辽宁省锦州市实验学校九年级下学期抽测数学试卷(已下线)专题06 与全等三角形有关的证明计算-学易金卷:2023年中考数学一模试题分项汇编(全国通用)2023年贵州省铜仁市中考三模数学模拟试题