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1问题提出题目:把两个两位数分别平方,放在首尾,再把这两个两位数乘积的两倍放中间,组成一个新数,这个数是一个完全平方数。如37和13,37~2=1369,13~2=169,2×37×13=962。组成新数1 369 962 169=37 013~2。初看题目,笔者尝试了几组两位数,认为这个结论应该是无条件成立的,然而一组两位数51和30的出现,改变了笔者的想法,按照上述方法它们组成的
1 Question Ask the question: Place two two-digit numbers squared, first and last, and then put the two double-digit products in the middle to form a new number. This number is a complete square number. Such as 37 and 13, 37~2=1369,13~2=169,2×37×13=962. The new number is composed of 1 369 962 169=37 013~2. At first glance, the author tried several groups of double digits and considered this conclusion to be unconditional. However, the emergence of a group of double digit numbers 51 and 30 changed the author's ideas. They were composed according to the above method.