如图,已知等腰直角三角形纸板
中,
.现要从中剪出一个尽可能大的正方形,则能剪出的最大正方形的面积是( )
![](https://img.xkw.com/dksih/QBM/editorImg/2024/3/3/5e69c376-570e-4a37-885c-a5e1650732e9.png?resizew=142)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/15c0dbe3c080c4c4636c64803e5c1f76.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6eeb0c8df3d8c5260768c5e407b3583a.png)
![](https://img.xkw.com/dksih/QBM/editorImg/2024/3/3/5e69c376-570e-4a37-885c-a5e1650732e9.png?resizew=142)
A.![]() | B.![]() | C.25 | D.50 |
23-24八年级上·浙江金华·期末 查看更多[2]
更新时间:2024-03-02 16:28:49
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【推荐1】如图,在
中,
,
,
,
由ABC绕点C顺时针旋转得到,其中点
与点A、点
与点B是对应点,连接
,且A、
、
在同一条直线上,则
的长为( )
![](https://img.xkw.com/dksih/QBM/editorImg/2022/8/11/1d20a4f0-e9e4-444e-afd3-57945af98e9b.png?resizew=135)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dd967903ed5a6f640a5b801ec8be0070.png)
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![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3953cec61ac602ce5eb59b7912352179.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/943712a5e96b16cc15d775cc4687237e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3953cec61ac602ce5eb59b7912352179.png)
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A.3 | B.4 | C.![]() | D.![]() |
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【推荐2】已知直角△ABC中,∠A=45°,则它的三条边之比为( )
A.1∶4∶1 | B.1∶1∶![]() | C.1∶![]() ![]() | D.1∶![]() |
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【推荐1】若干个正方形和等腰直角三角形拼接成如图所示的图形,若最大的正方形的边长是
,则正方形
、
、
、
的面积和是 ( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9d1b7aa6e3693af226ef7324c37534c1.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5963abe8f421bd99a2aaa94831a951e9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7f9e8449aad35c5d840a3395ea86df6d.png)
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A.14cm2 | B.42cm2 | C.49cm2 | D.64cm2 |
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【推荐2】如图,有一个面积为1的正方形,经过一次“生长”后,在他的左右肩上生出两个小正方形,其中,三个正方形围成的三角形是直角三角形,再经过一次“生长”后,就变成了如图所示的形状,若继续“生长”下去,它将变得“枝繁叶茂”,请你算出“生长”了2023次后形成的图形中所有的正方形的面积和是( )
A.2024 | B.2023 | C.2022 | D.1 |
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【推荐1】将面积为
的半圆与两个正方形
和正方形
拼接如图所示,这两个正方形面积的和为( )
![](https://img.xkw.com/dksih/QBM/2021/4/25/2707450751475712/2710712176549888/STEM/3cb1da8a-c1a1-435e-aadf-703620a9cf09.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7e9fdc1f8ed0ae44b54a9a2a3aca2db4.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5963abe8f421bd99a2aaa94831a951e9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7f9e8449aad35c5d840a3395ea86df6d.png)
![](https://img.xkw.com/dksih/QBM/2021/4/25/2707450751475712/2710712176549888/STEM/3cb1da8a-c1a1-435e-aadf-703620a9cf09.png)
A.![]() | B.8 | C.![]() | D.16 |
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【推荐2】如图,菱形
中,
,
,则以AC为边长的正方形
的面积为( )
![](https://img.xkw.com/dksih/QBM/2018/11/5/2069243990966272/2070293545877504/STEM/ef916a63-63e9-4f93-8a4d-00e3441df145.png?resizew=210)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/411b38a18046fea8e9fab1f9f9b80a5f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/32436704a722d5e568ff5c175bf3c662.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9f08273d339dc5ddbb89aa67bb8205e6.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/fd4b93d7abcfc4c3df48f03aa969c17f.png)
![](https://img.xkw.com/dksih/QBM/2018/11/5/2069243990966272/2070293545877504/STEM/ef916a63-63e9-4f93-8a4d-00e3441df145.png?resizew=210)
A.![]() | B.![]() | C.![]() | D.![]() |
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