整数解问题是初中数学竞赛的一块重要内容 ,在各级各类竞赛中每年都有大量的涉及整数解的试题出现 .它们将传统的初中数学知识相综合 ,涉及面宽、范围广 ,往往需要灵活地运用相关概念、性质、方法和技巧 .下面以 2 0 0 3年全国举行的数学竞赛试题为例 ,综述求解这类问题的方法 The integer solution problem is an important part of the junior high school math competition. There are a large number of test questions involving integer solutions each year in various types of competitions at various levels. They integrate the traditional knowledge of junior high school mathematics, covering a wide range, a wide range, often require Flexible use of related concepts, nature, methods and techniques. The following is an example of a math contest held in 2003.