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1984年1月号的《数学通报》发表了吴江同志《浅谈数学解题的策略》一文。吴在该文中介绍了解题策略的四个基本原则,即:熟悉化原则、简单化原则、具体化原则与和谐化原则。在解题过程中自觉地遵循这些原则,无疑将使我们更好把握住解题方向,更快打开解题的思路,大大提高解题的效率。略嫌不足的是,以上四个原则似乎尚未全面概括解题策略的规律,无论从宏观还是微观的数学方法论来看,也许还要再加上一条“逆向思维”的原则更为明确和妥当。
The “Medical Bulletin” published in January 1984 published Comrade Wu Jiang’s article “A Strategy for Solving Math Problems”. In this article, Wu introduces the four basic principles for understanding strategies, namely: familiarization principle, simplification principle, concrete principle, and harmony principle. Consciously following these principles during the process of solving problems undoubtedly will enable us to better grasp the direction of problem solving, open the ideas for solving problems faster, and greatly increase the efficiency of problem solving. Slightly inadequate, the above four principles do not seem to have comprehensively summarized the laws of the problem-solving strategy. From the perspective of macro-macro or micro-methodological methodology, it may be necessary to add a “reverse thinking” principle to be more explicit and appropriate.