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数学建模是针对某一实际问题,通过数学化手段如抽象并明确变量和参数,根据某种定律或规律,提炼并建立变量与参数间明确的数学关系(简化数学模型),用以解答该实际(数学)问题,最后解释、验证此数学模型的正确性并投入使用的过程。笔者以“积木累加”、“水槽设计”、“变量交换”为例来阐述数学建模活动的开展。一、“积木累加”问题的数学建模模型问题:以一块积木作为基础,于其上不断叠放其他积木,问上下积木间“向右延伸”可达多少?
Mathematical modeling is a practical problem, through mathematical means such as abstract and clear variables and parameters, according to a certain law or law, refined and established variables and parameters between the mathematical relationship (simplified mathematical model), to answer the Actual (mathematical) problems, and finally explain and verify the correctness of the mathematical model and put it into use. The author expounds the development of mathematical modeling activities with the example of accumulation of building blocks, sink design, variable exchange. First, the “building blocks accumulated” problem mathematical modeling model Problem: a block as a foundation, on which continue to stack other building blocks, ask up and down between the blocks “extend to the right ” up to how much?