(本讲适合高中) 涉及整数的问题,既形式简单又意义明确,虽所用知识不多但却富于技巧性,因而在数学竞赛中备受青睐。求解此类问题的一个关键即为选用整数的适当表示方法。本文以整数的表示方法为主线和工具,结合一些典型例题的分析,介绍数学竞赛中整数问题的 (This lecture is suitable for high school.) Problems involving integers are not only simple in form, but also clear in meaning. Although not much knowledge is used, they are very skillful. Therefore, they are favored in the math competition. A key to solving such problems is to use an appropriate representation of integers. In this paper, the integer representation method is used as the main line and tool. Combined with the analysis of some typical examples, this paper introduces the integer problem in the math contest.