小学教育网 发表于 2018-11-19 23:42:05

数学智力题:九宫图推数

数学智力题:九宫图推数
          将编号从1~9的棋子按一定的方式填入下图中的9个小格中,使得每一行、每一列以及每条对角线上的和都分别相等。
       
       
http://www.aoshu.com/e/20181118/data:image/png;base64,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
       
       
          答案:九宫图中的9个数字相加之和为45。因为方块中的3行(或列)都分别包括数字1~9当中的1个,将这9个数字相加之和除以3便得到“魔数”——15。总的来说,任何n阶魔方的“魔数”都可以很容易用这个公式求出:和为15的三数组合有8种可能性:9+5+1;9+4+2;8+6+1;8+5+2;8+4+3;7+6+2;7+5+3;6+5+4。方块中心的数字必须出现在这些可能组合中的4组。5是唯一在4组三数组合中都出现的。因此它必然是中心数字。
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查看完整版本: 数学智力题:九宫图推数