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不定方程作为以前的数学竞赛内容之一,而今被引入到部分省市的中考题当中,通常是求方程或方程组的整数解,解答此类题目的关键是运用不定方程的原理来迅速找到解题的突破口,达到求解之目的.所谓不定方程,是指未知数的个数多于方程个数,且未知数受到某些限制(如要求是有理数、整数或正整数等等)的方程或方程组.研究不定方程要解决三个问题:1判断何时有解;2有解时决定解的个数;3求出所有的解.本
As one of the former mathematics competitions, the indefinite equation is now introduced into the middle school entrance examination questions in some provinces and cities. It is usually to find the integer solution of equations or equations. The key to solving such problems is to solve the problem by using the principle of indefinite equation So as to solve the problem.The so-called indefinite equation refers to an equation or system of equations whose number of unknowns is more than the number of equations and whose unknowns are subject to certain restrictions (such as rational numbers, integers or positive integers, etc.). To study the indefinite equation to solve three problems: 1 to determine when there is solution; 2 to determine the solution when the number of solutions; 3 to find all the solutions.