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1引言所谓数学实验,通常是指为了获得某种数学理论、探求或验证某个数学猜想、解决某类数学问题,运用一定的物质工具或技术手段,经由数学思维活动的参与,在典型的环境中或特定的条件下进行的一种数学实践活动.数学实验的通常步骤是:(1)提出某种理论或某个猜想;(2)开展数学实验进行验证,并根据实验结果不断调整猜想内涵,直到肯定或否定猜想;(3)理论证明猜想的正确性;(4)探究能否推广到更一般的情形、能否类比到其他模型中.
1 Introduction The so-called mathematical experiments, usually refers to the mathematical model in order to obtain some kind of exploration or verification of a mathematical guess, to solve certain mathematical problems, the use of certain material tools or technical means, through the participation of mathematical thinking activities in a typical environment (1) propose a theory or a conjecture; (2) carry out the verification of mathematical experiments and adjust the connotation of the conjecture based on the experimental results , Until the affirmation or negative conjecture; (3) the proof of the theory of the correctness of the conjecture; (4) to explore whether the generalization can be extended to more general analogy to other models.