1 . 如图是由“赵爽弦图”变化得到的,它由八个全等的直角三角形拼接而成,记图中正方形
,正方形
,正方形
的面积分别为
,
,
.若
,则
的值是( )
![](https://img.xkw.com/dksih/QBM/editorImg/2023/7/14/e0a743fe-f252-4528-bbad-480ad3c48192.png?resizew=126)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/411b38a18046fea8e9fab1f9f9b80a5f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/611f100dcfa7803db6eb233e2e7f2dab.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/389bc3f29c058067e06e0d0d2be399da.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e097c8d4c948de063796bd19f85b3a9a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1e0bd63f55069a3bc870915010b39225.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6899bf9cadae2ccdb14cbc87d4f280ee.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/be356719736acd9d345e34f463a22df1.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1e0bd63f55069a3bc870915010b39225.png)
![](https://img.xkw.com/dksih/QBM/editorImg/2023/7/14/e0a743fe-f252-4528-bbad-480ad3c48192.png?resizew=126)
A.20 | B.24 | C.30 | D.36 |
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2 . 如图,有三个正方形
,
,
,点
,
,
,
,
都在同一直线
上,若正方形
,
的面积分别为
和
,则正方形
的面积为( )
![](https://img.xkw.com/dksih/QBM/editorImg/2023/12/1/1d3bc2b2-3de6-4dce-8935-f4ee1cd1bfbf.png?resizew=243)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/411b38a18046fea8e9fab1f9f9b80a5f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b2257da1e2425f2ea9ac7440f52659ff.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7567b6373c91797dc0a881168786e43e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7f9e8449aad35c5d840a3395ea86df6d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c5db41a1f31d6baee7c69990811edb9f.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/ac047e91852b91af639feec23a9598b2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0f85fca60a11e1af2bf50138d0e3fe62.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/411b38a18046fea8e9fab1f9f9b80a5f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b2257da1e2425f2ea9ac7440f52659ff.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5ca7d1107389675d32b56ec097464c14.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/cd3304e23f3b0f9569c4140ca89b6498.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7567b6373c91797dc0a881168786e43e.png)
![](https://img.xkw.com/dksih/QBM/editorImg/2023/12/1/1d3bc2b2-3de6-4dce-8935-f4ee1cd1bfbf.png?resizew=243)
A.4 | B.5 | C.6 | D.11 |
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23-24八年级上·福建宁德·期中
名校
3 . 如图是用三块正方形纸片设计的“毕达哥拉斯”图案,其中三块正方形围成的三角形是直角三角形.现有若干块正方形纸片,面积分别是2,3,4,5,6,选取其中三块(可重复选取)按如图所示的方式组成图案,则下列选取中,围成的直角三角形面积最大的是( )
![](https://img.xkw.com/dksih/QBM/2023/11/20/3371885019348992/3376237314056192/STEM/2c0e274c83e7415b8970d563b26bbdf8.png?resizew=122)
![](https://img.xkw.com/dksih/QBM/2023/11/20/3371885019348992/3376237314056192/STEM/2c0e274c83e7415b8970d563b26bbdf8.png?resizew=122)
A.2,4,6 | B.2,3,5 | C.2,2,4 | D.3,3,6 |
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4 . 如图,所有阴影部分四边形都是正方形,所有三角形都是直角三角形,若正方形A、C、D的面积依次为3、7、19,则正方形B的面积为________ .
![](https://img.xkw.com/dksih/QBM/editorImg/2023/11/27/14aded76-cd3e-43d1-b9c8-6cc35d46025a.png?resizew=180)
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5 . 如图,以
的三边为直角边分别向外作等腰直角三角形.若
,则图中阴影部分的面积为( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dd967903ed5a6f640a5b801ec8be0070.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9f08273d339dc5ddbb89aa67bb8205e6.png)
A.![]() | B.![]() | C.![]() | D.![]() |
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6 . 如图,在
中,
,以
为边的正方形的面积分别为
,若
则
的长为__________ .
![](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/9ae1210a744ae636419de68a525faf28.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/68d17ad2cb54374d57b9288a38b0c630.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d0f1e9bf9300cf6e0ff3deb40e7504b1.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0dc5c9827dfd0be5a9c85962d6ccbfb1.png)
![](https://img.xkw.com/dksih/QBM/editorImg/2023/12/1/4fbc78ee-6d14-4cf2-9027-3130eca6fc25.png?resizew=136)
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2023-11-26更新
|
90次组卷
|
2卷引用:江苏省南京市鼓楼区2023-2024学年八年级上学期期中数学试题
7 . 如图,在四边形
中,
,分别以四边形
的四条边为边长,向外作四个正方形,面积分别为
,
,
,
.若
,
,
,则
的值为 _______ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/411b38a18046fea8e9fab1f9f9b80a5f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4641bd4d4d8d007f40c98e818decd417.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/411b38a18046fea8e9fab1f9f9b80a5f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e097c8d4c948de063796bd19f85b3a9a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1e0bd63f55069a3bc870915010b39225.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6899bf9cadae2ccdb14cbc87d4f280ee.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0f30f56664446f32dbbc2c5f12a99374.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3b87f29eb9f50eb069e9d14316dbaff3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d925d79d473bed249fd2755699995a10.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b1dfe5b322577f02fd19caab8cf20170.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0f30f56664446f32dbbc2c5f12a99374.png)
![](https://img.xkw.com/dksih/QBM/editorImg/2023/12/31/7a510f3c-b97d-45df-bf30-5459fa8f3c7d.png?resizew=128)
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|
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5卷引用:山东省青岛市黄岛区2023-2024学年八年级上学期期中数学试题
山东省青岛市黄岛区2023-2024学年八年级上学期期中数学试题山东省青岛市西海岸新区2023-2024学年八年级上学期期中数学试题山东省青岛市李沧区2023-2024学年八年级上学期期中数学试题江苏省泰州市海陵区民兴中英文学校2023-2024年八年级上学期第二次月度独立作业数学试题(已下线)第04讲 勾股定理-【寒假自学课】2024年八年级数学寒假提升学与练(人教版)
8 . 如图,阴影部分表示以
的各边为直径的三个半圆所组成的两个新月形,面积分别记作
和
.若
,
,则阴影部分面积
是( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dd967903ed5a6f640a5b801ec8be0070.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e097c8d4c948de063796bd19f85b3a9a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1e0bd63f55069a3bc870915010b39225.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/f4c21cbb1c2bcbcb8391ac5a879f2ae0.png)
A.![]() | B.![]() | C.14 | D.24 |
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|
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5卷引用:广东省深圳市坪山区2023-2024学年八年级上学期期中数学试题
广东省深圳市坪山区2023-2024学年八年级上学期期中数学试题广东省深圳市罗湖区2023-2024学年八年级上数学期中考试试题(已下线)猜题03 勾股定理(拔尖必刷45题9种题型专项训练)-2023-2024学年八年级数学上学期期末考点大串讲(苏科版)(已下线)专题01 勾股定理重难点复习-【寒假自学课】2024年八年级数学寒假提升学与练(北师大版)(已下线)专题02 勾股定理五大题型梳理-【好题汇编】2023-2024学年八年级数学下学期期中真题分类汇编(广东专用)
9 . 如图,在
中,
,
,分别以
为边作正方形,面积分别记为
,则![](https://staticzujuan.xkw.com/quesimg/Upload/formula/22d0c1821ee87131a79831e234b6f3a6.png)
______
.
![](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/7cee49e97546d466ba3ee630e08cdc3c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e675a92cad72c65aa4071b9d9e226090.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d3637753af5ce86be9c23a9beb6b5067.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/22d0c1821ee87131a79831e234b6f3a6.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/88ce13774b09ff2edddaf21a072cf60a.png)
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|
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2卷引用:广东省深圳市龙岗区2023-2024学年八年级上学期期中数学试题
10 . 如图,是一株美丽的勾股树,其中所有的四边形都是正方形,所有的三角形都是直角三角形,若正方形A、B、C、D的边长分别是3、1、3、5,则最大的正方形E的边长是______ .
![](https://img.xkw.com/dksih/QBM/editorImg/2023/11/24/957fd1e4-7724-43d9-a165-57625ad2eb79.png?resizew=141)
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