1 . 如图,在
中,
,
,分别以
,
为一边向外作正方形,记这两个正方形的面积分别为
,
,则
的值为( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/15c0dbe3c080c4c4636c64803e5c1f76.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7e3262fc038bbec5e7c8cc47df08bef7.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/efc6e4b936d7a800e839a30c3839574d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/60ef95894ceebaf236170e8832dcf7e3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0dc5c9827dfd0be5a9c85962d6ccbfb1.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/f4c21cbb1c2bcbcb8391ac5a879f2ae0.png)
A.6 | B.7 | C.8 | D.9 |
您最近一年使用:0次
2024-02-29更新
|
64次组卷
|
2卷引用:陕西省西安市第九十九中学2023-2024学年八年级上学期期末数学试题
2 . 小明用
张正方形纸片摆成了如图所示的图形,图中空白处的三角形均为直角三角形,若正方形
,
,
的面积依次为
,
,
,则正方形
的面积为( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d91e07104b699c4012be2d26160976a2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5963abe8f421bd99a2aaa94831a951e9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c5db41a1f31d6baee7c69990811edb9f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8455657dde27aabe6adb7b188e031c11.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/492b6d3883713fcaa8a4fdd87b87b480.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/332e71982612ea86c28b9f2054b1045c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/459cc36d02d31815ba9f2d05e130e0cd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7f9e8449aad35c5d840a3395ea86df6d.png)
A.![]() | B.![]() | C.![]() | D.![]() |
您最近一年使用:0次
2024-02-28更新
|
231次组卷
|
4卷引用:河南省郑州市金水区2023-2024学年八年级上学期期末数学试题
3 . 如图,
是
的高,分别以线段
为边向外作正方形,其中3个正方形的面积如图所示,则第四个正方形的面积为__________ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/03902478df1a55bc99703210bccab910.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/15c0dbe3c080c4c4636c64803e5c1f76.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b1e1e31646126c42c74c62ec95eb15d0.png)
您最近一年使用:0次
2024-02-28更新
|
92次组卷
|
2卷引用:江苏省南通市崇川区2023-2024学年八年级上学期期末数学试题
4 . 如图,在
中,
.分别以
为直径作半圆,面积分别记为
,
,则
的值等于( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dd967903ed5a6f640a5b801ec8be0070.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e54b9d1a9eca6b1d7e725f89989ce821.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e675a92cad72c65aa4071b9d9e226090.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/f4c21cbb1c2bcbcb8391ac5a879f2ae0.png)
A.![]() | B.![]() | C.![]() | D.![]() |
您最近一年使用:0次
5 . 勾股定理是人类最伟大的科学发明之一.如图1,以直角三角形
的各边为边分别向外作正方形,再把较小的两张正方形纸片按图2的方式放置在最大的正方形内,三个阴影部分面积分别记为
,
,
,若已知
,
,
,则两个较小正方形纸片的重叠部分(四边形
)的面积为( )
![](https://img.xkw.com/dksih/QBM/2024/2/1/3423784433950720/3441496835047424/STEM/c712d7f40b83413e83ae2aef0dd2cd18.png?resizew=291)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7bef5239ddbb0972700ce01daf9ee7cf.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/f9c752ebe8516e7d3327f3410473d9a6.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c0863cf59114f905e9ad3debc5572792.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4ccdc17b603871d20843ffccca2df0ae.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b2257da1e2425f2ea9ac7440f52659ff.png)
![](https://img.xkw.com/dksih/QBM/2024/2/1/3423784433950720/3441496835047424/STEM/c712d7f40b83413e83ae2aef0dd2cd18.png?resizew=291)
A.7 | B.10 | C.11 | D.13 |
您最近一年使用:0次
6 . 如图,
中,
,AB为边向外作正方形,面积分别为
,
,若
,
,则BC=________________ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7281b641656a5992abaafb4190ca9afc.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/daadcd54ede70b183d92857bc85cebf2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/389abe04a965f4f8c9c7a692b1db77f5.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c0097f257192599e184a30646921cc8d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d7866e230ead335b6f8c3f0226fc60f7.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/088757f22ff12d3f817d86d8be416b98.png)
![](https://img.xkw.com/dksih/QBM/editorImg/2024/2/24/eda33899-dbf9-48fd-ad59-c72d1c074ba1.png?resizew=172)
您最近一年使用:0次
7 . 有一个面积为1的正方形,经过一次“生长”后,在它的左右肩上生出两个小正方形(如图1),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,生出了
个正方形(如图2),如果按此规律继续“生长”下去,那么它将变得“枝繁叶茂”.在“生长”了
次后形成的图形中所有正方形的面积和是__________ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b8860d9787671b53b1ab68b3d526f5ca.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0875d9cad7f9332984f2040a3dea6c60.png)
![](https://img.xkw.com/dksih/QBM/editorImg/2024/2/24/17c874d7-118d-4df2-8b54-2d359d43e3c4.png?resizew=239)
您最近一年使用:0次
名校
8 . 如图,
,以
的三边为直角边分别向外作等腰直角三角形,则图中阴影部分的面积为_________ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/29ad2cde2df53a62ea97ad6a107e90ac.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dd967903ed5a6f640a5b801ec8be0070.png)
您最近一年使用:0次
2024-02-20更新
|
163次组卷
|
5卷引用:河南省南阳市西峡县2023-2024学年八年级上学期期末数学试题
河南省南阳市西峡县2023-2024学年八年级上学期期末数学试题湖南省娄底市2023-2024学年八年级下学期月考数学试题(已下线)第十七章 勾股定理 单元能力提升测试卷-2023-2024学年八年级数学下册《知识解读·题型专练》(人教版)广东省江门市江海区礼乐中学2023-2024学年八年级下学期第一次月考数学试题吉林省松原市前郭县北部学区2023-2024学年八年级下学期期中数学试题
9 . 如图,在
中,
,以直角三角形的两边为边向外作正方形,其面积分别为5和9,则
的长为( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dd967903ed5a6f640a5b801ec8be0070.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/45acdbac251ca6b76a166c1242e71df9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0dc5c9827dfd0be5a9c85962d6ccbfb1.png)
A.14 | B.4 | C.3 | D.2 |
您最近一年使用:0次
2024-02-19更新
|
88次组卷
|
4卷引用:河南省南阳市镇平县2023-2024学年八年级上学期期末数学试题
名校
10 . 如图,在
中,
,分别以
为边长向外作正方形,且它们的面积分别为9和25,则
的长为____ .
![](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/86cae7cc6665dc8edfb9060075b3afb9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0dc5c9827dfd0be5a9c85962d6ccbfb1.png)
您最近一年使用:0次
2024-02-18更新
|
176次组卷
|
4卷引用:江苏省镇江市句容市2023-2024学年八年级上学期期末数学试题