如图,在正方形
中,
,E是
的中点,F是
延长线上的点,将
沿
折叠得到
.连接
并延长分别交
、
于O、H两点,若
,则
的长度为( )
![](https://img.xkw.com/dksih/QBM/editorImg/2023/2/18/6671b3da-8a60-4888-8d96-a659d2d323ee.png?resizew=170)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/411b38a18046fea8e9fab1f9f9b80a5f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/54275b7e571660d0a9e0370fbfe5050b.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/5f2ea13010e2399194be2a681310543e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/49b50357a6545cae8348e3059312f520.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3e37c2eab3fa989d8e986b7356eeb4a4.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/06e322e0c87479bba874db9ae9ba36b5.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/49b50357a6545cae8348e3059312f520.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/03902478df1a55bc99703210bccab910.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/53c106b42242f6e6a72150b816cfc56e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/274cf35acb4a1748d15c39d15a9bea7b.png)
![](https://img.xkw.com/dksih/QBM/editorImg/2023/2/18/6671b3da-8a60-4888-8d96-a659d2d323ee.png?resizew=170)
A.![]() | B.![]() | C.![]() | D.![]() |
22-23九年级下·重庆九龙坡·开学考试 查看更多[9]
重庆实验外国语学校2022-2023学年九年级下学期数学开学试题2023年安徽省蚌埠市中考模拟数学试卷2023年安徽省马鞍山市和县中考二模数学试题(已下线)专题15 图形的对称与平移(真题4个考点模拟9个考点)-学易金卷:5年(2019-2023)中考1年模拟数学真题分项汇编(安徽专用)2023年安徽省蚌埠市中考一模数学试题(已下线)专题4.50 相似三角形折叠问题(分层练习)(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(北师大版)安徽省淮南市西部地区2023-2024学年九年级上学期第四次联考数学试题安徽省淮南市西部地区2023-2024学年九年级上学期第四次联考数学试题 安徽省淮南市谢家集区等3地2023-2024学年九年级上学期期末数学试题
更新时间:2023-02-10 13:21:52
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单选题
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【推荐1】如图,将
绕点
逆时针旋转60°得到
,连接
.若
,
,则四边形
面积的最小值是( )
![](https://img.xkw.com/dksih/QBM/2020/10/7/2566067755663360/2566788277510144/STEM/968f71eb-a2f0-4860-98d2-e4b404e44c08.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/15c0dbe3c080c4c4636c64803e5c1f76.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5963abe8f421bd99a2aaa94831a951e9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a25c28359f8d8da9eaf4672a6cf8ae4f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9d78abbad68bbbf12af10cd40ef4c353.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d99d4033dc3d5ce3cf75d26f8f445638.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/267ace52b64e1e7dfc5211e033255b7d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8a664d2a52ef5264f65fc52103234eb7.png)
![](https://img.xkw.com/dksih/QBM/2020/10/7/2566067755663360/2566788277510144/STEM/968f71eb-a2f0-4860-98d2-e4b404e44c08.png)
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解题方法
【推荐2】如图,在Rt△ABC中,∠ABC=90°,∠ACB=30°,BC=2
,△ADC与△ABC关于AC对称,点E、F分别是边DC、BC上的任意一点,且DE=CF,BE、DF相交于点P,则CP的最小值为( )
![](https://img.xkw.com/dksih/QBM/2018/4/26/1932479434366976/1934022699679744/STEM/ea7da9be870e4ff6a6f779702463bc72.png?resizew=151)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a7ffe8515ff6183c1c7775dc6f94bdb8.png)
![](https://img.xkw.com/dksih/QBM/2018/4/26/1932479434366976/1934022699679744/STEM/ea7da9be870e4ff6a6f779702463bc72.png?resizew=151)
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【推荐1】如图,在矩形纸片
中,
,
,点
在
上,将
沿
折叠,点
恰落在边
上的点
处;点
在
上,将
沿
折叠,点
恰落在线段
上的点
处.下列结论:①
;②
;③
;④
.正确的是( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/411b38a18046fea8e9fab1f9f9b80a5f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/305a88d4e0249bd16d48eda01331d2d4.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/57ebb33adb2310a6e03918761e68204a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2a30f3a8b673cc28bd90c50cf1a35281.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9d78abbad68bbbf12af10cd40ef4c353.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/bbfa1a2af7e38d33634c462300df381f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/85c4bdfb0db1e31e8459df1d15f9ab55.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c5db41a1f31d6baee7c69990811edb9f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/03902478df1a55bc99703210bccab910.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a0ed1ec316bc54c37c4286c208f55667.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/895dc3dc3a6606ff487a4c4863e18509.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6aa2b5e09f8ec785c59900a529390a02.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1bc727c642cbc2181476b7dd8eca471e.png)
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![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b3da8735cc97b9a48552afd76b7d59d0.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/515ba1f3d6b149bb9fa0f5cfeb19505a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/95be27c86dad84cfb493305f140bc1c0.png)
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A.①②③ | B.①②④ | C.①③④ | D.②③④ |
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【推荐2】如图,在边长为4的正方形
中,P是
上一动点(不含B,C两点),将
沿直线
翻折,点B落在点E处;在
上有一点M.使得将
沿直线
翻折后,点C落在直线
上的点F处,直线
交
于点N,连接
.则以下结论中正确的是( )
长度的最小值为5;
②四边形
的面积最大值为
;
③当
时,
;
④当P为
中点时,
是线段
的垂直平分线.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/411b38a18046fea8e9fab1f9f9b80a5f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0dc5c9827dfd0be5a9c85962d6ccbfb1.png)
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![](https://staticzujuan.xkw.com/quesimg/Upload/formula/20a541b81584a032f571159ea152c85a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9d78abbad68bbbf12af10cd40ef4c353.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/17ae7d7f5a3bba2a5fe4f84a3b96bde7.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/438f34bc8b04e8c494b91306ac6fe352.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/fc5adb5eb60ae4435a12d93854066298.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/fc5adb5eb60ae4435a12d93854066298.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9d78abbad68bbbf12af10cd40ef4c353.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6f3747459355b4a36ba21297ee775e06.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d50703c46b6153945d718b198f03b4b5.png)
②四边形
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/505578b3f5567424b7d8890514fa7d72.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d07ae0b4264da6a8812454ffd2f20d94.png)
③当
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/613fa4c3b0581a137c0cd01fe42fd003.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/541cc66b3666addd888d8879d09b6a83.png)
④当P为
![](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/5845ffc7d1af9053b027cf9e726f5367.png)
A.①②③ | B.①②④ | C.①③④ | D.②③④ |
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【推荐1】如图,在矩形
中,
,E,F分别是
,
的中点.若
,则
( )
![](https://img.xkw.com/dksih/QBM/editorImg/2024/6/12/4210b7a6-8a95-4ab5-8028-583ab68483af.png?resizew=172)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/411b38a18046fea8e9fab1f9f9b80a5f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/fcd0ced286a0fbc7e4862f8147264277.png)
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![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9f79997547fb75e88ad1e2c66989a4a0.png)
![](https://img.xkw.com/dksih/QBM/editorImg/2024/6/12/4210b7a6-8a95-4ab5-8028-583ab68483af.png?resizew=172)
A.![]() | B.![]() | C.![]() | D.3 |
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【推荐2】在四边形
中,
,
,
,点
为
边上一点,
,且
.连接
交对角线
于H,连接
.下列结论中:①
;②
;③
;④
;⑤
.其中正确的个数是( )
![](https://img.xkw.com/dksih/QBM/editorImg/2024/1/11/f1381d53-e68f-4914-a204-de6d688745bf.png?resizew=101)
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![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0b757706eee506a078fc25e3f33a70cb.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0c08d0f46f1ea860b45ff30a52875995.png)
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![](https://staticzujuan.xkw.com/quesimg/Upload/formula/56b12b02a02a0a373cf442b899ffd66f.png)
![](https://img.xkw.com/dksih/QBM/editorImg/2024/1/11/f1381d53-e68f-4914-a204-de6d688745bf.png?resizew=101)
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