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数学思维过程是一个复杂的信息传送、加工和改造的过程。以解决数学问题的思维而言,必须灵活运用数学基础知识和基本技能,在解题中,我们不仅要掌握一般解题规律,还要仔细观察和分析题目的特征,广泛联想,打破常规,寻求简捷和合理的解题途径。一、合理构造简便运算例1 计算(1)125×0.25×64×5×7(2)4/5×2/3+1/5÷3/4分析:本例若按四则运算顺序计算,计算量较大,不足取。仔细审题通过化归构造,(1)可出现特殊值,(2)可为乘法分配律展开式。
Mathematical thinking process is a complex process of information transfer, processing and transformation. In order to solve the thinking of mathematics problems, we must make full use of the basic knowledge and basic skills of mathematics. In solving problems, we should not only master the law of general problem solving, but also carefully observe and analyze the characteristics of the topic, extensively associate, break the routine and seek Simple and reasonable way to solve problems. First, reasonable structure Simple calculation example 1 Calculation (1) 125 × 0.25 × 64 × 5 × 7 (2) 4/5 × 2/3 + 1/5 ÷ 3/4 Analysis: In this case, Calculation of large, less than take. Careful examinations are made by normalizing, (1) special values can appear, and (2) the law can be extended for multiplication.