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应用题对培养学生的数学思维有其独特的作用,而应用题的方程求解与算术方法求解也各有自己的特点。本文就“线段图”的分析方法对四道例题进行算术求解。在例1、例2中,当线段图画出来后,只需简单说明,不用列式,就已经得出答案。而在例3、例4稍难的应用题中,分析清数量关系再加上线段图,也能正确地用算术方法进行求解。同时,本文对例2、例3、例4也给出了方程求解。
Applied questions to cultivate students’ mathematical thinking has its unique role, but the application of the problem solving equations and arithmetic methods also have their own characteristics. This article on the “line graph ” analysis method for four cases of arithmetic solution. In Example 1, Example 2, when the line drawing is out, only a brief explanation is needed, and no answer has been reached. In the case of Example 3, Example 4 is difficult to use the problem, the analysis of the relationship between the amount of clear line segments, but also the correct use of mathematical methods to solve. In the meantime, the equations 2, 3 and 4 are also given to solve the equations.