1 . 如图,在矩形
中,点M是
上一动点,点E是
的中点,
绕点E逆时针旋转
得到
,连接
(点F在
下方),则![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1a77f80a4c67da383d9ccd0d17bc8ee1.png)
________ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/411b38a18046fea8e9fab1f9f9b80a5f.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/e6e490f703eb6c9bb1278c78ebc2d661.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1b5772c570ea706d2c74825aeb7c3da8.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/49b50357a6545cae8348e3059312f520.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6aa2b5e09f8ec785c59900a529390a02.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/03902478df1a55bc99703210bccab910.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1a77f80a4c67da383d9ccd0d17bc8ee1.png)
![](https://img.xkw.com/dksih/QBM/editorImg/2023/11/25/d8afae62-4199-4e69-882c-9cd5fd93b12d.png?resizew=140)
您最近一年使用:0次
2 . 如图,在
中,
,
,点P是直角边
上一动点(点P不与B,C重合),连接
,将线段
绕点A顺时针旋转
得线段
,连接
,则线段
的最小值是 ________ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/15c0dbe3c080c4c4636c64803e5c1f76.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e9ee2ac22448e4a96035a361126be882.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b83cb6327dcbc8a998e6586bcfa7a3b9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0dc5c9827dfd0be5a9c85962d6ccbfb1.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/be6a6301878fed2a01413020b27310a5.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/03902478df1a55bc99703210bccab910.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9d78abbad68bbbf12af10cd40ef4c353.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9d78abbad68bbbf12af10cd40ef4c353.png)
![](https://img.xkw.com/dksih/QBM/editorImg/2023/11/27/39aa383e-b8ba-46a4-b6ba-623630c2b4e6.png?resizew=145)
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2023-11-17更新
|
62次组卷
|
2卷引用:贵州省遵义市绥阳县2023-2024学年九年级上学期期中数学试题
3 . 数学实践活动是一种非常有效的学习方式,通过活动可以激发学习兴趣,提高动手动脑能力,拓展思维,改进学习方法,提高学习效率.
![](https://img.xkw.com/dksih/QBM/editorImg/2023/11/13/b6c81236-accc-4a27-a692-0f0754cb9fb2.png?resizew=352)
(1)发现解决:将正方形纸片
折叠,使边
都落在对角线
上,展开得到折痕
如图①,则
_________;线段
之间的数量关系为________;
(2)类比引申:如图②,在矩形
中,连接对角线
,E是
上的一点,四边形
是正方形,如果
,则矩形
的面积是多少?
(3)拓展应用:如果图①中正方形纸片
的边长为4,沿
剪开,再进行折叠,使
的边
重合,折痕为
.点P,点Q在边
上,
,连接
,如图③,则
的周长是多少?
![](https://img.xkw.com/dksih/QBM/editorImg/2023/11/13/b6c81236-accc-4a27-a692-0f0754cb9fb2.png?resizew=352)
(1)发现解决:将正方形纸片
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/411b38a18046fea8e9fab1f9f9b80a5f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/210830766989a07c24b05589007aebbd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/60ef95894ceebaf236170e8832dcf7e3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/968b2adc9dd770e5994569a459a2d659.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e569f82eb96d237501ed0fba536e9ac4.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2a45bb0e736a231e0179772a5c036124.png)
(2)类比引申:如图②,在矩形
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/411b38a18046fea8e9fab1f9f9b80a5f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d40b319212a7e7528b053e1c7097e966.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d40b319212a7e7528b053e1c7097e966.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d819c261ee68e705e0d71815a050b7aa.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/fd25db1459848a1c1f799b29ac6d6bdc.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/411b38a18046fea8e9fab1f9f9b80a5f.png)
(3)拓展应用:如果图①中正方形纸片
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/411b38a18046fea8e9fab1f9f9b80a5f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/60ef95894ceebaf236170e8832dcf7e3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/15c0dbe3c080c4c4636c64803e5c1f76.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/667f534c3893e5dcfe16be356202971a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/aaf1438142deeac876fc7dc50552e552.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/667f534c3893e5dcfe16be356202971a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/54edadd93c68b0105da2dccc8c3f410c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7a5f1641947153c80b987320885a2b57.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e8dcc9f79fe5f07f25447aa442ee14ad.png)
您最近一年使用:0次
4 . 已知在
中,
,
,
在
延长线上且
,则
的度数( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/15c0dbe3c080c4c4636c64803e5c1f76.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/640e9e7c56e8eeda044fb55396088816.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ab926d89b65f26c12e3da73ef1e5cf68.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9d78abbad68bbbf12af10cd40ef4c353.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0dc5c9827dfd0be5a9c85962d6ccbfb1.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c220eadc312101e2fb89dfe920f7b30d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0c543c3ddc3723fde6bbfca3ea3b921b.png)
![](https://img.xkw.com/dksih/QBM/editorImg/2023/10/23/18e8d7e1-330f-4b80-a6c9-e92b23b23e01.png?resizew=164)
A.![]() | B.![]() | C.![]() | D.![]() |
您最近一年使用:0次
真题
名校
5 . 如图,已知正方形
的边长为3,点
是对角线
上的一点,
于点
,
于点
,连接
,当
时,则
( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/411b38a18046fea8e9fab1f9f9b80a5f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dad2a36927223bd70f426ba06aea4b45.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d40b319212a7e7528b053e1c7097e966.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/13508fdc9e840fe612431360a6d451ee.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a0ed1ec316bc54c37c4286c208f55667.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/04fb30a9d07e410ac92c34b8ad0133db.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2a30f3a8b673cc28bd90c50cf1a35281.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/48f3c9abbd78e9a6840ee5f30381daac.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9b2cf1f58002106aa351b240b59af5f5.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/33e7d551cca653e2d638c8cab4c2fda8.png)
A.![]() | B.2 | C.![]() | D.![]() |
您最近一年使用:0次
2023-10-08更新
|
1484次组卷
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20卷引用:贵州省毕节市金沙县第四中学2023-2024学年九年级上学期期中数学试题
贵州省毕节市金沙县第四中学2023-2024学年九年级上学期期中数学试题2023年四川省攀枝花市中考数学真题安徽省六安市皋城中学2023-2024学年九年级上学期月考数学试题重庆育才中学教育集团2023-2024学年九年级上学期第三次自主作业数学试题江西省九江市永修县2023-2024学年九年级上学期期中数学试题重庆市万州区万州第二高级中学2023-2024学年九年级上学期期中数学试题山东省枣庄市市中区2023-2024学年九年级上学期期中数学试题(已下线)第8讲 正方形2024年山东省枣庄市山亭区九年级中考一模数学模拟试题(已下线)重难点03+平行四边形与特殊平行四边形(8大题型+满分技巧+限时分层检测1)-2024年中考数学【热点·重点·难点】专练(全国通用)(已下线)重难点04+平行四边形与特殊平行四边形(4考点8题型)22024年山东省东营市东营区实验中学中考六模数学试题(已下线)专题9.30 正方形(直通中考)(提升练)-2023-2024学年八年级数学下册基础知识专项突破讲与练(苏科版)(已下线)专题9.44 中心对称图形——平行四边形(直通中考)(培优练)-2023-2024学年八年级数学下册基础知识专项突破讲与练(苏科版)(已下线)专题18.26 正方形(直通中考)(提升练)-2023-2024学年八年级数学下册基础知识专项突破讲与练(人教版)(已下线)专题18.32 平行四边形(直通中考)(提升练)-2023-2024学年八年级数学下册基础知识专项突破讲与练(人教版)广东省东莞市成才实验学校2023-2024学年八年级下学期期中数学试题河南省驻马店市汝南县2023-2024学年八年级下学期4月期中数学试题河北省廊坊市三河市燕达实验学校2023-2024学年八年级下学期期中数学试题(已下线)暑假作业06 正方形性质与判断(5大题型巩固提升练+拓展能力练+仿真考场练)-【暑假分层作业】2024年八年级数学暑假培优练(人教版)
真题
6 . 如图,正方形
中,点
,
分别在
,
上,且
,
与
相交于点
.
≌
;
(2)求
的大小.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/411b38a18046fea8e9fab1f9f9b80a5f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ac047e91852b91af639feec23a9598b2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/54a5d7d3b6b63fe5c24c3907b7a8eaa3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f52a58fbaf4fea03567e88a9f0f6e37e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0dc5c9827dfd0be5a9c85962d6ccbfb1.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2cdc9f4a99b567a6ee4be3943beeddca.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f50b3ae183997b707d16eb4e7f6712fa.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/15a424b50eaeafa6f302ffd95476cb86.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dad2a36927223bd70f426ba06aea4b45.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ae49790c28719f3573da5d23914d325f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3c434dd2ea796b34464d513a8ae7a848.png)
(2)求
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6b14ee179b2f15c7c7ba0a82cdd67234.png)
您最近一年使用:0次
2023-09-15更新
|
856次组卷
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11卷引用:贵州省六盘水市兴艺高级中学有限公司2023-2024学年九年级上学期期中数学试题
贵州省六盘水市兴艺高级中学有限公司2023-2024学年九年级上学期期中数学试题2023年湖北省黄石市中考数学真题广东省惠州市惠阳区中国工农红军惠阳叶挺红军中学2023- 2024学年九年级上学期第一次月考数学试题甘肃省定西市通渭县2023-2024学年九年级上学期学情调研测试(一)数学试题甘肃省张掖市甘州中学2023-2024学年九年级上学期第一次月考数学试题(已下线)专题01 特殊平行四边形(考点清单,20个考点)-2023-2024学年九年级数学上学期期末考点大串讲(北师大版)(已下线)重难点03+平行四边形与特殊平行四边形(8大题型+满分技巧+限时分层检测1)-2024年中考数学【热点·重点·难点】专练(全国通用)(已下线)寒假作业13 全等三角形的基本模型(14道经典题型+4道中考真题)-【寒假分层作业】2024年八年级数学寒假培优练(人教版)(已下线)专题9.30 正方形(直通中考)(提升练)-2023-2024学年八年级数学下册基础知识专项突破讲与练(苏科版)(已下线)专题18.26 正方形(直通中考)(提升练)-2023-2024学年八年级数学下册基础知识专项突破讲与练(人教版)辽宁省营口市盖州市2023-2024学年八年级下学期期中数学试题
名校
7 . 如图所示,在等腰三角形
中,
,点
在线段
上,点
在线段
上,且
,
.求证:
(1)
;
(2)
.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7bef5239ddbb0972700ce01daf9ee7cf.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/047dc9795efa99b6fb9fdf9778085dab.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6a373959bb9026f8a09845c0b828bf82.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0dc5c9827dfd0be5a9c85962d6ccbfb1.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/acc290b44635265137fdf13146b6a6d9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f52a58fbaf4fea03567e88a9f0f6e37e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a2a893fc8b2e9d55c9cdf8aceb3827a0.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/199cfd9fd800d6a9ed2758a847a5f08d.png)
![](https://img.xkw.com/dksih/QBM/editorImg/2023/9/20/4093be27-b7ec-418d-beff-4ca3012ad99c.jpg?resizew=190)
(1)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/15a23fa5b9f3edf840951a565ecb7420.png)
(2)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/cc036fe61db701ee6f0119a25b991f2f.png)
您最近一年使用:0次
2023-09-11更新
|
145次组卷
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4卷引用:贵州省铜仁市碧江区第五中学2023-2024学年九年级上学期期中数学试题
贵州省铜仁市碧江区第五中学2023-2024学年九年级上学期期中数学试题广东省深圳市深圳实验学校初中部2023-2024学年九年级上学期开学考试数学试题(已下线)第4章 图形的相似全章复习攻略与检测卷(3个概念2个性质1个判定1个作图1个应用2种思想)-【帮课堂】2023-2024学年九年级数学上册同步学与练(北师大版)(已下线)专题4.53 相似三角形的性质与判定综合专题(分层练习)(综合练)-2023-2024学年九年级数学上册基础知识专项突破讲与练(北师大版)
12-13九年级上·江苏扬州·期末
8 . 已知:正方形
中,
,
绕点
顺时针旋转,它的两边分别交
,
(或它们的延长线)于点
,
.
(1)当
绕点
旋转到
时(如图
),证明
.
(2)当
绕点
旋转到
时(如图
),线段
,
和
之间有怎样的数量关系?写出猜想,并加以证明.
(3)当
绕点
旋转到如图
的位置时,线段
,
和
之间又有怎样的数量关系?写出猜想,并加以证明.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/411b38a18046fea8e9fab1f9f9b80a5f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b4794cf7c57bdd4825d9e6615e2527a4.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/358c69b4f6c350c35d19d33c69f2a2a8.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5963abe8f421bd99a2aaa94831a951e9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6b1bd1adfe4cc6566218f19970c2fd3b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9e52a8f07834cbbbe4224962672fbbb2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ac047e91852b91af639feec23a9598b2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/54a5d7d3b6b63fe5c24c3907b7a8eaa3.png)
![](https://img.xkw.com/dksih/QBM/editorImg/2023/7/20/8ac52469-94d6-45cf-85f6-c9d36a3aeb7c.png?resizew=402)
(1)当
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/358c69b4f6c350c35d19d33c69f2a2a8.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5963abe8f421bd99a2aaa94831a951e9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/46f3175a979c2f908d6c5665e14894b0.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/bdaa19de263700a15fcf213d64a8cd57.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5d8c24906872c98c181f198ee0ab6e48.png)
(2)当
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/358c69b4f6c350c35d19d33c69f2a2a8.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5963abe8f421bd99a2aaa94831a951e9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/320ceb774d9df2d337221eb7fa55e9b8.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/61128ab996360a038e6e64d82fcba004.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e69d2b798744645af88a4fa411344a83.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b3533837e3d08c461dea031a44e5424d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/411461db15ee8086332c531e086c40c7.png)
(3)当
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/358c69b4f6c350c35d19d33c69f2a2a8.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5963abe8f421bd99a2aaa94831a951e9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5ca7d1107389675d32b56ec097464c14.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e69d2b798744645af88a4fa411344a83.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b3533837e3d08c461dea031a44e5424d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/411461db15ee8086332c531e086c40c7.png)
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2023-07-18更新
|
82次组卷
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13卷引用:贵州省六盘水市2021-2022学年九年级上学期第一次月考数学试题
贵州省六盘水市2021-2022学年九年级上学期第一次月考数学试题(已下线)2011-2012学年江苏省扬州市邗沟中学九年级第一学期期末考试数学卷北师大版九年级上第一章 B拓展区 综合拓展山东省日照市实验中学2019-2020学年九年级上学期开学考试数学试题江西省抚州市乐安县2019-2020学年九年级上学期期中数学试题广东省河源市紫金县紫金县中山中学2022-2023学年九年级下学期开学考试数学试题(已下线)23.2(培优课)半角模型(题型精讲精练)1(原卷版)(已下线)23.2(培优课)半角模型(题型精讲精练)2(原卷版)云南省德宏傣族景颇族自治州芒市民族中学2020-2021学年八年级下学期数学期中试卷山东省东营市河口区2021-2022学年八年级上学期期末数学试题山东省东营市广饶县李鹊镇初级中学2022-2023学年八年级上学期期末数学试题(已下线)专题07 全等三角形证明方法:半角模型【考点串讲+热点题型专训】-2022-2023学年七年级数学下学期期中期末考点大串讲(北师大版)云南省曲靖一中卓立学校2022-2023学年八年级下学期期中数学试题
9 . 在
中,
,D、E分别时
、
边上的点,
.将
绕点A旋转.
(一)发现问题
(1)如图①,
、
、
满足的数量关系为________;
(二)探究问题
(2)如图②,
,
相交于点M,连接
,求证:
平分
;
(三)拓展应用
(3)如图③,在四边形
中,
,
,
,求
的度数.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/15c0dbe3c080c4c4636c64803e5c1f76.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/047dc9795efa99b6fb9fdf9778085dab.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/c436f108fd4921dae15ecff19270237e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a25c28359f8d8da9eaf4672a6cf8ae4f.png)
(一)发现问题
(1)如图①,
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7cbce11aa19b8bd2bf6ee5a834e005de.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2947ca8e0cdbeb4aab80ce9e7b63ba98.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/060705794ef87cc71dac40c57f27b1d2.png)
(二)探究问题
(2)如图②,
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d40b319212a7e7528b053e1c7097e966.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4eedae8d316c76e3d0b451256de03fb9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d50703c46b6153945d718b198f03b4b5.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b66a5b7813e902306477f91f9f4084cd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/df1a67f1ffb62274c4faefc197a4cf82.png)
(三)拓展应用
(3)如图③,在四边形
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/411b38a18046fea8e9fab1f9f9b80a5f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f2ddd49625097d0a78df7170be4f882e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b648f6f2bcc33d4ab0d3925ffb9c5e16.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d0e47acfa0b0bde7dbb8d7f294f98185.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2947ca8e0cdbeb4aab80ce9e7b63ba98.png)
![](https://img.xkw.com/dksih/QBM/editorImg/2023/7/22/3ae937a4-a223-478a-af85-e9395bae7aa1.png?resizew=652)
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10 . 如图,在矩形
中,
,
,E为
上一点,且
,F为
上一个动点,连接
,将
绕点E顺时针旋转
到
位置,连接
和
,则
的最小值为_____ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/411b38a18046fea8e9fab1f9f9b80a5f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/efc6e4b936d7a800e839a30c3839574d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/729f7f33200c581e2b0211a46715797f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0dc5c9827dfd0be5a9c85962d6ccbfb1.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/adc90c2d45477e166b02359525f40aa6.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f52a58fbaf4fea03567e88a9f0f6e37e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/49b50357a6545cae8348e3059312f520.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/49b50357a6545cae8348e3059312f520.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f6b86c22b670a8e9f3896f9e8883fbbb.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/31e55e398e8520d8a36fb5a625a085b8.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c63e36329f5e0979f5ee776ac5d06327.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/abf80148409afb32ced0b4f59f1ba709.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/abf80148409afb32ced0b4f59f1ba709.png)
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