《九章算术》是我国古代内容极为丰富的数学名著,其中“勾股”章有一题,大意是:已知矩形门的高比宽多6尺,门的对角线长10尺,那么门的高和宽各是多少?如果设门的宽为x尺.根据题意,所列方程为( )
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更新时间:2023-09-24 18:20:58
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【推荐1】如图是一张矩形纸片
,点
分别在边
上,把
沿直线
折叠,使点
落在对角线
上的点
处;把
沿直线
折叠,使点
落在线段
上的点
处,
,则矩形
的面积为( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/411b38a18046fea8e9fab1f9f9b80a5f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/52041559f8fee18bfa3e2e2ac07c3bfa.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/fd6877751384616819a8ddeef96c4133.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3a0acc93490a6a784eb62201d93dd93d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e6e490f703eb6c9bb1278c78ebc2d661.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ce1132157a33c82610c2d5035493d024.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d40b319212a7e7528b053e1c7097e966.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/655b6a742dbacdab5aaa298007663dd4.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6cdbf3defb030baf9dd7116f4a447528.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1e72b2e1ff83e95df048745322982451.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5963abe8f421bd99a2aaa94831a951e9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d004d2d115b477ade6af7ddb93db0df8.png)
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A.420 | B.360 | C.![]() | D.![]() |
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【推荐2】如图,某劳动小组借助一个直角墙角围成一个矩形劳动基地
,墙角两边
和
足够长,用总长
的篱笆围成另外两边
和
.有下列结论:
的长是
时,劳动基地
的面积是
;
②
的长有两个不同的值满足劳动基地
的面积为
;
③点
处有一棵树(树的粗细忽略不计),它到墙
的距离是
,到墙
的距离是
,如果这棵树需在劳动基地内部(包括边界),那么劳动基地面积的最大值是
,最小值是
.
其中,正确结论的个数是( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/411b38a18046fea8e9fab1f9f9b80a5f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9e52a8f07834cbbbe4224962672fbbb2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/67d822262ff00915910e5b87d81ad1ba.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/daf2fc57da7f8399eae9ad9ad22ca836.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f52a58fbaf4fea03567e88a9f0f6e37e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0dc5c9827dfd0be5a9c85962d6ccbfb1.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f52a58fbaf4fea03567e88a9f0f6e37e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/167e6e41ac221847824a72e964f340f1.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/411b38a18046fea8e9fab1f9f9b80a5f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6307c0249ba768c1c0c9a253c31720d2.png)
②
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f52a58fbaf4fea03567e88a9f0f6e37e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/411b38a18046fea8e9fab1f9f9b80a5f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/bdb92c9032804326713c7b4feea53f40.png)
③点
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dad2a36927223bd70f426ba06aea4b45.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9e52a8f07834cbbbe4224962672fbbb2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e978c77cb0d7eff794447241e9829867.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/67d822262ff00915910e5b87d81ad1ba.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/39ea92883fe24b097c9a881ef8c92eb1.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1a796b826cc01a89d10f83be5e29d7e3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f4fb5474bdc74da700b463eabd05bd8e.png)
其中,正确结论的个数是( )
A.0 | B.1 | C.2 | D.3 |
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【推荐1】如图,四边形ABCD是平行四边形,以点A为圆心,AB的长为半径画弧,交AD于点F;分别以点B,F为圆心,大于
的长为半径画弧,两弧相交于点G:连接AG并延长,交BC于点E.连接BF,若
,
,则AB的长为( )
![](https://img.xkw.com/dksih/QBM/editorImg/2022/8/3/ad1f5dff-2bd1-4aa9-9aa4-6725cb2ac40a.png?resizew=174)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/40fe477aea662f3ae9b6d28f1e785147.png)
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A.3 | B.4 | C.5 | D.8 |
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【推荐2】如图,在
中,点
分别为三条高在边
上的垂足,若
,则
的长为( ).
![](https://img.xkw.com/dksih/QBM/editorImg/2024/2/13/6b45590c-43a7-4638-88d9-9b65e87a0e43.png?resizew=128)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/15c0dbe3c080c4c4636c64803e5c1f76.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4c5b88ec996d2d117987e7303cefe4ad.png)
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![](https://img.xkw.com/dksih/QBM/editorImg/2024/2/13/6b45590c-43a7-4638-88d9-9b65e87a0e43.png?resizew=128)
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