小学教育网 发表于 2018-10-30 22:15:19

数学智力题:整数长方形

数学智力题:整数长方形
          整数长方形
       
          如图所示,一个大长方形被分成很多个小长方形。每个小长方形或者高是整数,或者宽是整数。绿色的小长方形宽为整数,高不是整数。橘红色的长方形高是整数,宽不是整数。
       
          那么这个大长方形的高和宽都是整数吗?还是都不是整数?
       
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
       
          答案:这种结构的大长方形,要么宽是整数,要么高是整数,或者两者都是整数。这一证明是由数学家斯坦·威根完成的。后来,彼得·温克勒在他的著作《数学智力游戏:极品珍藏》中又给出了一种天才的证明方法。
       
          将大长方形里所有宽为整数的绿色小长方形的上下边线用橘色勾勒并加粗。将剩下的橘色小长方形的左右边线用绿色勾勒并加粗。这样处理之后,最后在这个大长方形中至少会出现一条连接两对边的路线——要么是从大长方形的左边到右边的绿色路线,要么是从上边到下边的橘色路线(2种不同颜色的相接处看作其中任意一种颜色,因此最终可能会出现2条相交的路线)。从图中可以看出,这个大长方形只有宽为整数。
       
          用这种方法在你自己设计的长方形里试试!
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查看完整版本: 数学智力题:整数长方形