分类讨论思想在解题中的应用（The application of classification discussion in solving problems）.docVIP

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分类讨论思想在解题中的应用（The application of classification discussion in solving problems）.doc

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分类讨论思想在解题中的应用（The application of classification discussion in solving problems）

分类讨论思想在解题中的应用（The application of classification discussion in solving problems） Data worth having From the usual study, accumulation and summary Where there is a problem, there must be some Please also criticize and correct me! The application of classification discussion in solving problems 256500 Shandong Boxing No.1 Middle School Zhao Jing Guo Wei Were working on the problem Often encountered, can not use the same standard Or the same operation Or the same type Or the same theorem formula Or the same way to solve the problem As a result, many situations often occur There are several local problems that need to be solved This is the idea of classification discussion Classification discussion is a logical method Its also a mathematical idea Its essence is to break up the whole into parts Crush one by one principle generally speaking The reasons for classification discussion can be generalized as follows: 1. classification discussion caused by mathematical concepts: some mathematical concepts have very obvious classification characteristics Such as the definition of absolute value Definition of inequality Definition of two function The angle between a line and a plane Slope of a line exponential function Collinearity of vectors and so on Such problems are to be classified by the restrictions imposed by the definition For example 1., the preceding term of the known series is Find the preceding and the Analysis: the relation between item and sum The concept of absolute value should be used to classify and discuss Thus the result is worked out By... at that time at that time Satisfaction formula therefore order be That is also So when time So if you want to divide into two cases, discuss as follows: at that time ; at that time because therefore therefore The preceding paragraph of a sequence and Commentary: as a result of Therefore, there are two kinds of situations in the time division Transformed into a piecewise function Solve the problem 2. a classification result