如图,分别沿长方形纸片
和正方形纸片
的对角线
、
剪开,拼成如图所示的平行四边形
,且中间的四边形
为正方形.在平行四边形
内随机取一点,则此点取自阴影部分的概率是
![](https://img.xkw.com/dksih/QBM/editorImg/2023/1/6/04fae475-fe46-41db-a61b-2d3b434798f3.png?resizew=262)
![](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/60ef95894ceebaf236170e8832dcf7e3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/31e55e398e8520d8a36fb5a625a085b8.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3a5593aaed5bed99df2304bd912621db.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4715bbc80a407c57e74cba6bc3741afc.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3a5593aaed5bed99df2304bd912621db.png)
![](https://img.xkw.com/dksih/QBM/editorImg/2023/1/6/04fae475-fe46-41db-a61b-2d3b434798f3.png?resizew=262)
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更新时间:2019-03-15 21:15:14
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【推荐1】如图,正方形ABNH、DEFM的面积相等,
,向多边形ABCDEFGH内投一点,则该点落在阴影部分内的概率为( )
![](https://img.xkw.com/dksih/QBM/2020/3/10/2416408092803072/2416509189611520/STEM/d94b1f728a094ea5a30111a29ff06d17.png?resizew=171)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/53df47c67adcbf9c7936c3e4fde5d3e4.png)
![](https://img.xkw.com/dksih/QBM/2020/3/10/2416408092803072/2416509189611520/STEM/d94b1f728a094ea5a30111a29ff06d17.png?resizew=171)
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【推荐2】中国古代几何中的勾股容圆,是阐述直角三角形中内切圆问题.此类问题最早见于《九章算术》“勾股”章,该章第
题为:“今有勾八步,股十五步,间勾中容圆,径几何?”意思是“直角三角形的两条直角边分别为
和
,则其内切圆直径是多少?”若向上述直角三角形内随机抛掷
颗米粒(大小忽略不计,取
),落在三角形内切圆内的米粒数大约为( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8c748e40ba21ac5063d3bccaa57ef278.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/cd3304e23f3b0f9569c4140ca89b6498.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/58b184c94e38f1e5dbe750b2168c2a37.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0efba7147f5b9ced8bc4a72f0a9fb8af.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/70e008ad8cda5d8651fb553a1aaf39f4.png)
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