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数学世界里存在着大量的矛盾因素,如正与反、特殊与一般、未知与已知、等与不等、分与合、数与形、具体与抽象、函数与方程、或然与必然等.如果在解题中恰当地将这些矛盾相互转化,相互结合,便可以将复杂问题简单化,陌生问题熟悉化,抽象问题具体化,实际问题数学化,使问题迎刃而解.下面就
There are a lot of contradictory factors in the mathematical world, such as positive and negative, special and general, unknown and known, equal and unequal, divided and combined, number and shape, concrete and abstract, functions and equations, and natural and inevitable If these contradictions are properly transformed and integrated in the problem-solving problem, they can simplify the complex problems, familiarize the strange problems, concretize the abstract problems, mathematicalize the actual problems, and solve the problems.