众所周知,在数学问题的解答中,应当注意一般性和特殊性的关系.在论证一般性命题时。一定不能以验证某些特例来代替对问题的论证.例1 证明:有3个数位上是1,其余数化上都是O的十进制正整数都不是完全平方数.我们知道,这样的正整数是很多的,例如111,101010,1100001.10000011,…等等.如果逐一验证它们,可以发现它们都确 As we all know, in the solution of mathematical problems, we should pay attention to the relationship between generality and particularity. When we demonstrate general propositions. It must not be used to verify certain special cases to replace the arguments of the problem. Example 1 Prove that there are 3 digits that are 1 and that the remainder of the digitized positive integers are all zero squares. We know that such positive integers There are many, for example, 111,101010,1100001.10000011,...etc. If you verify them one by one, you can see that they are correct.