Solving a problem of mathematical way of thinking has a lot of, such as match method, number shape union, method of undetermined coefficients, the definition method of reduction to absurdity, analysis and synthesis of special and general method, analogy and induction, classification, function and equation of ideas, such as the classification discussed occupies very important position. In order to more thoroughly understand the mathematical thinking method, this paper summarized the classification standards, principles, procedures and methods, discussed at the same time, this article also discuss some typical examples to illustrate by solving the important application.
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