1 . 如图,在
中,
,
,
,分别以
的三边为边,向部作正方形
,
,
,直线
与
相交于点J,过G作
的平行线与线
相交于点M,过F作
的平行线与直线
相交于点K,直线
与
相交于L,则四边形
的面积是 _____ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/15c0dbe3c080c4c4636c64803e5c1f76.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9c06154cae3bf7a8ce5a1e97a7380875.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/efc6e4b936d7a800e839a30c3839574d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a8a7b5adfcac0f46a4cd19da4ebb4a2b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/15c0dbe3c080c4c4636c64803e5c1f76.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e1d70676406f26d339465fe3473c0c05.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0c35e7a990d8ff3e55945fd4718a9740.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/616b46476c1f1d22e3a21d6fa33a3400.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e6e490f703eb6c9bb1278c78ebc2d661.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2cc29330979e64e99678423e58759779.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e6e490f703eb6c9bb1278c78ebc2d661.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2cc29330979e64e99678423e58759779.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2cc29330979e64e99678423e58759779.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e6e490f703eb6c9bb1278c78ebc2d661.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/88ac28c7adade476df476c2bf90a8416.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/67c015d99f2677951bdcd0447240ef93.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0e34b67501fa4b2d2321d99aa09388e1.png)
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2024-03-25更新
|
148次组卷
|
3卷引用:山东省淄博市周村区2022-2023学年八年级下学期期中数学试题
山东省淄博市周村区2022-2023学年八年级下学期期中数学试题(已下线)专题02勾股定理 全章热门考点专练(考点清单,2个概念2个定理3种方法2个应用专练)-2023-2024学年八年级数学下学期期中考点大串讲(人教版)2024年四川省德阳市广汉市中考二模数学试题
2 . 如图,直线l上有三个正方形A,B,C.若正方形A,C的面积分别为4和3,则正方形B的面积为( )
A.6 | B.7 | C.10 | D.25 |
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3 . 如图,所有的四边形都是正方形,所有的三角形都是直角三角形,其中最大的正方形的边长为
,则正方形A、B、C、D、E、F的面积之和为______
.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9d1b7aa6e3693af226ef7324c37534c1.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5eaeb63ca14dc3e56ed9ccf0e948e431.png)
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4 . 分别以
的三条边向外作三个正方形,连接
,
,若设
,
,
,则
,
,
之间的关系为( )
![](https://img.xkw.com/dksih/QBM/editorImg/2024/3/14/69ab1519-326d-406d-92cf-1195f66d9a21.jpg?resizew=149)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dd967903ed5a6f640a5b801ec8be0070.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9171484a68c84cad91e4f2233392f600.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/999a995a6d07c561ce64e8952994160a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5ce54d509f16eea722b1209265111b3c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d9ceeee8b98603cfe7b0835e2ab238cf.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9f591925f84ade7a3d5bc9a7e73daad2.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://img.xkw.com/dksih/QBM/editorImg/2024/3/14/69ab1519-326d-406d-92cf-1195f66d9a21.jpg?resizew=149)
A.![]() | B.![]() |
C.![]() | D.![]() |
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5 . 如图,在边长为6的正方形中有两个小正方形,若两个小正方形的面积分别记为
,
,则
的值为( )
![](https://img.xkw.com/dksih/QBM/editorImg/2024/3/13/469b3ddb-94a4-4967-91d5-362016535966.jpg?resizew=107)
![](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)
![](https://img.xkw.com/dksih/QBM/editorImg/2024/3/13/469b3ddb-94a4-4967-91d5-362016535966.jpg?resizew=107)
A.6 | B.12 | C.16 | D.17 |
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6 . 如图,直线l上有三个正方形a,b,c,若a,c的面积分别为4和9,则b的面积为_____________ .
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2024-03-12更新
|
137次组卷
|
4卷引用:广西壮族自治区桂林市叠彩区宝贤中学2021-2022学年八年级下学期期中数学试题
广西壮族自治区桂林市叠彩区宝贤中学2021-2022学年八年级下学期期中数学试题(已下线)专题06 特殊四边形的性质及判定(十一大题型)-【好题汇编】备战2023-2024学年八年级数学下学期期中真题分类汇编(山东专用)广东省江门市鹤山市2023-2024学年八年级下学期月考数学试题(已下线)专题05 三角形中的证明与计算问题-2024年中考数学二轮热点题型归纳与变式演练(江苏专用)
7 . 如图,在
中,
,以
的各边为边作三个正方形,点
落在
上,若
,空白部分面积为10,则
的长为( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/15c0dbe3c080c4c4636c64803e5c1f76.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9ed8f7d3d7043d4b1eb98fc5c4e2fcd3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/15c0dbe3c080c4c4636c64803e5c1f76.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/895dc3dc3a6606ff487a4c4863e18509.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2cc29330979e64e99678423e58759779.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/89779b35b7e25cc8f6b02153134de444.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f52a58fbaf4fea03567e88a9f0f6e37e.png)
A.![]() | B.![]() | C.![]() | D.![]() |
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2024-03-04更新
|
310次组卷
|
9卷引用:浙江省宁波市鄞州区高桥镇等四校2023-2024学年八年级上学期期末数学试题
浙江省宁波市鄞州区高桥镇等四校2023-2024学年八年级上学期期末数学试题浙江省宁波市鄞州区2023-2024学年八年级上学期期末考试数学试题广东深广州市白云区2023-2024学年八年级下学期开学考试数学试题(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)湖南省花垣县华鑫教育集团2023-2024学年八年级下学期月考数学试题甘肃省武威市凉州区武威第二十一中学2023-2024学年八年级下学期期中数学试题(已下线)专题06+全等三角形和特殊三角形(4大易错点分析)2-备战2024年中考数学考试易错题(浙江专用)2024学年甘肃省武威市凉州区怀安镇九年制学校九年级下学期中考模拟诊断数学模拟预测题(已下线)重难点02+三角形与特殊三角形2
8 . 如图,数字代表所在正方形的面积,则
所代表的正方形的边长为 _____ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5963abe8f421bd99a2aaa94831a951e9.png)
![](https://img.xkw.com/dksih/QBM/editorImg/2024/3/2/948d66fb-668b-4fa1-b775-5492535b691a.png?resizew=100)
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9 . 勾股定理有着悠久的历史,它曾引起很多人的兴趣,1955年希腊发行了以勾股定理为背景的邮票.如图,在
中,
,
,
,分别以
,
,
为边向外作正方形
,正方形
,正方形
,并按如图所示作长方形
,延长
交
于点M,反向延长
交
于点J,则长方形
的面积为_______ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dd967903ed5a6f640a5b801ec8be0070.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9c06154cae3bf7a8ce5a1e97a7380875.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d70dc2c20619a4fc12a0cfda59af5b69.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3d2c15801fee2405573677484f5dcfa4.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f52a58fbaf4fea03567e88a9f0f6e37e.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/dbdb6dc0b2937eaef3da354096f82ba5.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ff7a0bfc593a8a33b6cade6ba213904c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2fa7bbd7831e9ff4f8cffc8889d34f05.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/681e2e9564ffdf76e8a3cb63d17175e8.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0dc5c9827dfd0be5a9c85962d6ccbfb1.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/da701094ca9f9687f4b5af1825773a96.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0dc5c9827dfd0be5a9c85962d6ccbfb1.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/65bb1c5af4c7a9376882867e07690b18.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0e34b67501fa4b2d2321d99aa09388e1.png)
![](https://img.xkw.com/dksih/QBM/editorImg/2024/3/1/f6eaf82b-ce66-4daa-87af-e6cf0f624b76.png?resizew=287)
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10 . 如图是小明爸爸设置的微信手势密码图,己知左右、上下两个相邻密码点间的距离均为1,手指沿
顺序解锁.请利用你所学的数学知识解决下列问题.
![](https://img.xkw.com/dksih/QBM/editorImg/2024/2/29/dd327e92-09b6-421e-8d69-e8b4f187f408.png?resizew=106)
(1)判断
与
的位置关系,并说明理由.
(2)设
,
交于点F,求
的长.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/71bfcae5585e2ef339c503757e7fa58e.png)
![](https://img.xkw.com/dksih/QBM/editorImg/2024/2/29/dd327e92-09b6-421e-8d69-e8b4f187f408.png?resizew=106)
(1)判断
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/68a83fdd2ba72a2dba0b6b10bb3e06b9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0dc5c9827dfd0be5a9c85962d6ccbfb1.png)
(2)设
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/68a83fdd2ba72a2dba0b6b10bb3e06b9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0dc5c9827dfd0be5a9c85962d6ccbfb1.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6aa2b5e09f8ec785c59900a529390a02.png)
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