方程整数根问题牵涉的知识面比较广(方程理论、整除性理论等 )、题型多变 (不定方程型、方程组型、解析几何型以及多项式整除型等 ) ,其处理更以“入口宽、方法巧”见长 ,因而成为各层次初中数学竞赛的重点考察内容 .本文从六个方面中来介绍数学竞赛中方程整数根问题的求解 .一 The integer root problem of the equation involves a wide range of knowledge (equation theory, divisibility theory, etc.), variable types of questions (indefinite equations, equations, analytical geometry, and polynomial integer type, etc.), and its processing is more This method has become known as the method of Qiao, which has become the focus of the junior middle school math competitions at all levels. This paper introduces the solution to the integer root problem of equations in mathematics competition from six aspects.