各级各类数学竞赛中经常出现考察不定方程的解法的试题 ,有的是一些实际应用问题最后化归为讨论不定方程的解的问题 ,有的就是单纯考察解不定方程的问题 .不定方程的类型较多 ,且解法多样化 .有一些整数解问题有普遍性的解法 ,但对一些分式或高次不定方程往往没有常规的方法可 The question of studying the solution to the indefinite equation often appears in various types of mathematics competitions of various levels. Some of the practical application problems are finally categorized as discussing the solution of the indefinite equation, and some are simply the problems of solving the indefinite equation. The types of indefinite equations are relatively Many, and the solution is diversified. There are some integer solution problems with universal solutions, but there are often no conventional methods for some fractional or high order indefinite equations.