如图,在矩形纸片
中,
,
,点E,F分别在
,
上,把纸片按如图所示的方式沿
折叠,点A,B的对应点分别为
,
,连接
并延长交边
于点G,当G为线段
中点时,线段
的长为( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/411b38a18046fea8e9fab1f9f9b80a5f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/fc34db5860990e51ba31edc8cdd077c2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1bdf82f2b3ac77ee7b9b35aebe0dd83f.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/49b50357a6545cae8348e3059312f520.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e7c314398e26ffc7164b82946eeb4273.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3953cec61ac602ce5eb59b7912352179.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6024fd4532f5f981deac4582c799a6ef.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9d78abbad68bbbf12af10cd40ef4c353.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9d78abbad68bbbf12af10cd40ef4c353.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/49b50357a6545cae8348e3059312f520.png)
A.![]() | B.11 | C.12 | D.![]() |
2023·辽宁抚顺·三模 查看更多[4]
2023年辽宁省抚顺市新抚区中考三模数学试题(已下线)专题4.49 相似三角形折叠问题(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)(已下线)2024年四川省自贡市中考数学真题变式题7-12题(已下线)2024年四川省德阳市中考数学真题变式题7-12题
更新时间:2023-05-09 14:02:45
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【推荐1】如图是我国汉代数学家赵爽在注解《周髀算经》时给出的“勾股方圆图”(又称赵爽弦图),它是由四个全等的直角三角形(直角边分别为a,b,斜边为c)与中间的一个小正方形拼成的一个大正方形.如果大正方形的面积为11,小正方形的面积为3,则
的值为( )
![](https://img.xkw.com/dksih/QBM/2022/4/22/2968637115146240/2995674803355648/STEM/fb67fd4c-b854-4331-99d9-e9dbc7d1f189.png?resizew=131)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1802bb87610630d1e935fdca0c60d720.png)
![](https://img.xkw.com/dksih/QBM/2022/4/22/2968637115146240/2995674803355648/STEM/fb67fd4c-b854-4331-99d9-e9dbc7d1f189.png?resizew=131)
A.68 | B.89 | C.119 | D.130 |
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【推荐2】如图①,在
中,
,点P从点A 出发,沿着
的边以1个单位/秒的速度匀速运动.设点P运动的路程为x,图②是
的长度y随着x的变化而变化的函数图象,下列判断正确的是( )
![](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/7bef5239ddbb0972700ce01daf9ee7cf.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d4d260c4df7b0dc180af6980d21f3371.png)
A.![]() | B.![]() | C.![]() | D.![]() |
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【推荐1】如图,在矩形纸片
中,
,
,将
沿
折叠到
位置,
交
于点F,则
的值为( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/411b38a18046fea8e9fab1f9f9b80a5f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9f08273d339dc5ddbb89aa67bb8205e6.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3f8eeeea1c9652cacce976f8129cf520.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/661ff55b5ebbadfb600989af3cfce2fd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d40b319212a7e7528b053e1c7097e966.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/07fbad473c16df3ff62c1c6b37de6aa8.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e6e490f703eb6c9bb1278c78ebc2d661.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f52a58fbaf4fea03567e88a9f0f6e37e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d004d2d115b477ade6af7ddb93db0df8.png)
![](https://img.xkw.com/dksih/QBM/editorImg/2023/9/7/d787bd33-dabb-4f2d-927e-eadfb2668eea.png?resizew=142)
A.![]() | B.![]() | C.![]() | D.![]() |
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【推荐2】如图,把长方形纸片
沿对角线折叠,设重叠部分为
,那么,有下列说法:
①
是等腰三角形,
;②折叠后
和
一定相等;③折叠后得到的图形是轴对称图形;④
和
一定是全等三角形.其中正确的是( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/411b38a18046fea8e9fab1f9f9b80a5f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b96715995549e5e48494101570bb3bb8.png)
①
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1f2281cb6df0c3c518ce5ed19a02b57e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1ef9500289a895ad4d69f113a11e7525.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2cfc2771aa0d5b97d2297f8a26a6f6b1.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2f1a13346c7971d064ef14cecd9a9ed5.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e742966e3711cfa53dce04022acf4bcc.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/72cb97395ebc5ee1b212afb7a97b985c.png)
A.①②③ | B.①③④ | C.①②④ | D.①②③④ |
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【推荐1】如图,在△ABC中,D、E分别是边AB、BC上的点,且DE//AC,若S△BDE:S△CDE=1:2,则 S△DOE:S△AOC的值为( )
![](https://img.xkw.com/dksih/QBM/2021/5/18/2723595312111616/2727755414634496/STEM/666ac4b3-1f0a-4b79-a699-f9cc1309df76.png)
![](https://img.xkw.com/dksih/QBM/2021/5/18/2723595312111616/2727755414634496/STEM/666ac4b3-1f0a-4b79-a699-f9cc1309df76.png)
A.![]() | B.![]() | C.![]() | D.![]() |
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【推荐2】如图,AB∥CD,AC、BD交于点O,若DO=3,BO=5,DC=4,则AB长为( )
![](https://img.xkw.com/dksih/QBM/2018/1/12/1858839439187968/1862400213213184/STEM/9534d4b1c860496ab30a370f449fcd6b.png?resizew=169)
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