1 . 如图,在
中,
,分别以
的三边为边向外作正方形
,正方形
,正方形
,连接
并延长交
于
,过
作
交
于
,若
,则正方形
的面积等于________ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dd967903ed5a6f640a5b801ec8be0070.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7e3262fc038bbec5e7c8cc47df08bef7.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/15c0dbe3c080c4c4636c64803e5c1f76.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4b9d54cbbf601f4583659771eb534997.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/468b128ad3053f6cbd67ee98f20ce068.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dbdb6dc0b2937eaef3da354096f82ba5.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2319a01218514917e446dfc807a625ff.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/892e37a8f937098ad3a2b8e60d59b14d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/54a5d7d3b6b63fe5c24c3907b7a8eaa3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c5db41a1f31d6baee7c69990811edb9f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/182edaac16cd69986020e490c7b2070e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/892e37a8f937098ad3a2b8e60d59b14d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ac047e91852b91af639feec23a9598b2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/79d7f7ba0640c23db42c77603526867a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4b9d54cbbf601f4583659771eb534997.png)
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2 . 如图,所有阴影四边形都是正方形,所有三角形都是直角三角形,已知正方形A, B, C的面积依次为2, 4, 3, 则正方形D的面积为( )
A.9 | B.27 | C.29 | D.45 |
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3 . 如图,某数学兴趣小组在课后一起复习数学知识,首先他们在纸上画出
,然后分别以这个三角形的三边为直角边画出三个等腰直角三角形,最后把这个图形剪下来,并折成下图的样子,
分别与
交于G、H,若
的面积分别为4,9,16,则![](https://staticzujuan.xkw.com/quesimg/Upload/formula/42acd3ee01d9f843a8579ffb0b7d9d82.png)
__________ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dd967903ed5a6f640a5b801ec8be0070.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d004d2d115b477ade6af7ddb93db0df8.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d534c787a17b94738bdd125f39e121eb.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/fb0a9d76ce5aea5211bfcf3bbcefc665.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/42acd3ee01d9f843a8579ffb0b7d9d82.png)
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2024-04-28更新
|
59次组卷
|
2卷引用:广东省韶关市翁源县2023-2024学年八年级下学期期中数学试题
名校
4 . 如图,点A,B,C在同一条直线上,点B在点A,C之间,点D,E在直线AC同侧,
,
,
,连接DE,设
,
,
,给出下面三个结论:
①
;
②
;
③
.
上述结论中,所有正确结论的序号是( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d09a9a6f020159406608000cf93d4fa9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/853e81b1b9606ad25244ff82c8292df6.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/23f925f45b71f457f3fa19203360a287.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6d42e97eee705d164e6ac6de9ecd6d1f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a4a88b719166fcc1431f876bc8c5656c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2fd764314ae7afde76f32918f79ccc84.png)
①
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9b8071e5c19f30589b7fbf6639835472.png)
②
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/df337f2eff7f81da8cf7d52ba803d006.png)
③
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/849acfa7c48106a952b00f0e38d2572d.png)
上述结论中,所有正确结论的序号是( )
A.① | B.①③ | C.②③ | D.①②③ |
您最近一年使用:0次
名校
5 . 如图,在
中,
,当
,
时,则阴影部分的面积为______ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dd967903ed5a6f640a5b801ec8be0070.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7e3262fc038bbec5e7c8cc47df08bef7.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a8a7b5adfcac0f46a4cd19da4ebb4a2b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ef0402dd5ae3db10281f9f1e11738bcb.png)
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6 . 下列各图是以直角三角形各边为边,在三角形外部画正方形得到的,每个正方形中的数及字母S表示所在正方形的面积.其中S的值恰好等于10的是( )
A.![]() | B.![]() | C.![]() | D.![]() |
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7 . 如图,以
两条直角边为边向外作正方形,以斜边为直径向外作半圆,已知两个正方形面积和为
.
的长;
(2)求半圆面积(结果保留
).
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dd967903ed5a6f640a5b801ec8be0070.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ce019005b5243d67ed1a996d4e752a31.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f52a58fbaf4fea03567e88a9f0f6e37e.png)
(2)求半圆面积(结果保留
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/70f5389990c3a0c5373f3bd9fb2454c9.png)
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8 . 如图,
,
与
按如图方式拼接在一起,
,
,
,则
的值为______ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/681a4c0e1bba3332b0dde5ce55d30e2e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/86ba4917a177be27018540187a1cfbca.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dd967903ed5a6f640a5b801ec8be0070.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7fb0c658231f83910d74dd2928a0ec9f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/045088fba9b67de0a9dfa643b4d36cc1.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a83f20731eaef25dc28b41d10e52e2b7.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f52a58fbaf4fea03567e88a9f0f6e37e.png)
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名校
9 . 如图,已知在
中,
是
上的一点,
,点P从B点出发沿射线
方向以每秒2个单位的速度向右运动,设点P的运动时间为t,连接
.
秒时,求
的面积;
(2)若
平分
,求t的值;
(3)过点D作
于点E.在点P的运动过程中,当t为何值时,能使
?
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dd967903ed5a6f640a5b801ec8be0070.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/de1fcfe4c877cdabda80771b9aa0cc32.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/60ef95894ceebaf236170e8832dcf7e3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/55c24a968c73e960698a572ab01e3698.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0dc5c9827dfd0be5a9c85962d6ccbfb1.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/20a541b81584a032f571159ea152c85a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f66884efff7400f92b530d69d029778d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e08b395fcd6ac97b243d81ffa189fac3.png)
(2)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/20a541b81584a032f571159ea152c85a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/21b28f28ced0531d1df34fcf04c6c67f.png)
(3)过点D作
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/35eed9fb23f80002cc31dd57109e102a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d0fa1aa5a7a5bb172ed4603f17c8b2c6.png)
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名校
10 . 如图,在
中,
于点D.分别以
为边向外作正方形,得到较大的三个正方形的面积分别为
,那么最小的正方形面积为_______ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/15c0dbe3c080c4c4636c64803e5c1f76.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8b757f0c42ae5c9a2d6a4b19e5877b27.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d5632257c8a02f4cd0989df545fdaa41.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/148ebc1e587c6afc551bad2a7f2d44fb.png)
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