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一切事物都是一个由各个局部构成的有机联系的整体,局部离不开整体,整体也离不开局部.任何一个综合数学问题都是由若干个局部数学问题所组成,解决这类问题经常用到整体思维和局部思维.所谓局部思维就是对局部问题进行研究,得到局部结论;所谓整体思维就是对局部思维所得到的结论进行概括和总结,得出综合问题的最后结果.局部思维是整体思维的前提,没有局部思维则整体思维将缺少基础而无法进行,只有局部思维而没有整体思维,则综合问题将不能得到最后结果.
Everything is an organic whole made up of individual parts. The whole cannot be separated from the whole, and the whole can not be separated from the part. Any comprehensive mathematics problem is composed of several local mathematical problems. It is often used to solve such problems. To the overall thinking and local thinking. The so-called local thinking is to study the local issues, to get local conclusions; the so-called overall thinking is to summarize the conclusions of the local thinking and sum up the final results of the comprehensive problem. Partial thinking is the overall thinking The premise is that if there is no local thinking, then the overall thinking will lack a foundation and cannot be carried out. If there is only a partial thinking and no overall thinking, then the comprehensive problem will not be able to get the final result.