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脑力小体操 新年第一期之口算图中阴影面积

 2 years ago
source link: http://jandan.net/p/110252
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  1. 5155533

    设各个线段顶点交点从上到下,从左到右分别为第一行ABCD,第二行EFGH,第三行IJKL,第四行MNOP,FJ中间的交点为Q。
    阴影面积为(扇形AMD)-(扇形BJD)+图形QJG-(正方形EGOM-扇形OMG)+图形FQG-正方形ABFE
    图形QJG+图形FQG=正方形FGKJ-扇形KJG
    则阴影面积为(扇形AMD)-(扇形BJD)-(正方形EGOM-扇形OMG)-正方形ABFE+正方形FGKJ-扇形KJG
    结果为32π-64

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