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一先从两个数学游戏谈起 [Ⅰ] 老师向学生说:“请你们每一个人任意想一个数,从中减去构成它的单个数字的和,然後将所得的差数,任意留下一个数字不告诉我,其他的都告诉我,我马上就可以猜出你留下的是甚麽数字。”于是每人都躲着写一个数,其中有一个学生写了一个2456,把各位数字加起来2+4+5+6=17。从2456-17=2439,他告诉老师2、4、9、三个字,老师接着就说:“你还有一个‘3’字,是不是?”那个学生很惊异的说:“是”。另一个学生又对老师说:“3、4、7”,老师又很快的答覆,还有一个‘4’字。大家都很惊异。
One begins with two mathematics games. [I] The teacher said to the students, “Please ask each of you to think of a number, subtract the sum of the single digits that make up it, and then leave the resulting difference, The numbers don’t tell me. The others tell me that I can guess right away what number you left behind.“ So each one avoids writing a number, and one student writes a 2456, adding up the numbers. 2+4+5+6=17. From 2456-17=2439, he told the teacher 2, 4, 9 and three words. The teacher then said, “You still have a ‘3’ character, aren’t you?” The student said with surprise: “Yes”. Another student said to the teacher: ”3, 4, 7," the teacher answered quickly and there was a ‘4’ character. Everyone is surprised.