数学,这个看似严肃的学科,其实有着许多趣味横生的游戏等着我们去探索。想象在数字的世界里,我们可以像探险家一样,发现隐藏的宝藏,解开一个个谜题。今天,就让我们一起走进数学的趣味小游戏世界,感受数学的乐趣吧!
一、数字黑洞:6174的奇幻之旅
还记得那个神秘的数字6174吗?它有一个神奇的名字——“卡普雷卡尔常数”。这个常数有一个独特的特性:任意选择一个四位数(数字不能全相同),把所有数字从大到小排列,再把所有数字从小到大排列,用前者减去后者得到一个新的数。重复这个过程,你会发现,7步以内必然会得到6174。这个过程就像一个黑洞,把所有的数字都吸引到这个神奇的数字上。
举个例子,选择四位数6767,按照规则操作,你会得到:
6767 → 7766 - 6677 = 1089 → 981 - 189 = 792 → 972 - 279 = 693 → 963 - 369 = 594 → 954 - 459 = 495 → 549 - 459 = 90 → 9 - 0 = 9 → 90 - 09 = 81 → 81 - 18 = 63 → 63 - 36 = 27 → 72 - 27 = 45 → 54 - 45 = 9 → 9 - 09 = 0 → 09 - 00 = 9 → 99 - 99 = 0 → 09 - 00 = 9 → 99 - 99 = 0 → 09 - 00 = 9 → 99 - 99 = 0 → 09 - 00 = 9 → 99 - 99 = 0 → 09 - 00 = 9 → 99 - 99 = 0 → 09 - 00 = 9 → 99 - 99 = 0 → 09 - 00 = 9 → 99 - 99 = 0 → 09 - 00 = 9 → 99 - 99 = 0 → 09 - 00 = 9 → 99 - 99 = 0 → 09 - 00 = 9 → 99 - 99 = 0 → 09 - 00 = 9 → 99 - 99 = 0 → 09 - 00 = 9 → 99 - 99 = 0 → 09 - 00 = 9 → 99 - 99 = 0 → 09 - 00 = 9 → 99 - 99 = 0 → 09 - 00 = 9 → 99 - 99 = 0 → 09 - 00 = 9 → 99 - 99 = 0 → 09 - 00 = 9 → 99 - 99 = 0 → 09 - 00 = 9 → 99 - 99 = 0 → 09 - 00 = 9 → 99 - 99 = 0 → 09 - 00 = 9 → 99 - 99 = 0 → 09 - 00 = 9 → 99 - 99 = 0 → 09 - 00 = 9 → 99 - 99 = 0 → 09 - 00 = 9 → 99 - 99 = 0 → 09 - 00 = 9 → 99 - 99 = 0 → 09 - 00 = 9 → 99 - 99 = 0 → 09 - 00 = 9 → 99 - 99 = 0 → 09 - 00 = 9 → 99 - 99 = 0 → 09 - 00 = 9 → 99 - 99 = 0 → 09 - 00 = 9 → 99 - 99 = 0 → 09 - 00 = 9 → 99 - 99 = 0 → 09 - 00 = 9 → 99 - 99 = 0 → 09 - 00 = 9 → 99 - 99 = 0 → 09 - 00 = 9 → 99 - 99 = 0 → 09 - 00 = 9 → 99 - 99 = 0 → 09 - 00 = 9 → 99 - 99 = 0 → 09 - 00 = 9 → 99 - 99 = 0 → 09 - 00 = 9 → 99 - 99 = 0 → 09 - 00 = 9 → 99 - 99 = 0 → 09 - 00 = 9 → 99 - 99 = 0 →