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合与分是一对矛盾,以辩证法的观点来看,有分必有合,能合必能分,正确运用合与分的矛盾来解题,往往能起到事半功倍的作用.以分求合或以合求分是辩证思维的一种重要的思想方法. 合与分的主要表现形式有:综合与单一间的合分;整体与局部间的合分;无限与有限间的合分.如数学解题中的枚举法,迭加法,拆添项法,割补法等都是合分思想的具体运用.
Coupons and divisions are a pair of contradictions. From a dialectical point of view, there are points that must be combined, and they must be able to divide. The correct use of the contradiction of harmony and harmony can solve problems, and can often play a multiplier role. Or, it is an important way of thinking of dialectical thinking. The main manifestations of integration and sharing are: the integration between the synthesis and the single; the integration of the whole and the partial; the combination of the infinite and the finite. The enumeration method, the superposition method, the decomposing item method, and the cut-and-complement method in the mathematics problem-solving problem are all concrete applications of the idea of the unity.