在国内外数学竞赛试题中,常常出现要判断或证明结论为整数的一类试题。此类试题题型广泛,涉及的知识面较宽,是考察参赛者的综合能力和智力的重要试题。正因为如此,解答此类问题常需要灵巧的方法和独到的技巧。但是,也不是无规律可依,无方法可循,下面将常用的解题策略介绍如下,供参考。 In the questions of mathematics competitions at home and abroad, there are often a class of questions that need to be judged or proved to be integers. These types of questions have a wide range of questions and involve a wide range of knowledge. They are important questions for examining the competitor’s comprehensive ability and intelligence. Because of this, answering such questions often requires smart methods and unique skills. However, there is no law to follow, there is no way to follow. The commonly used problem-solving strategies are described below for reference.