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本文以2006年上海市的一道初中物理竞赛题为例,从数学角度用一般化与特殊化、类比拓展、解法旁通三个方法进行了比较深入的分析。本问题分析的方法和所得结论,对用数学工具分析和解决相关学科问题有一定的启发意义。
Taking a 2006 junior high school physics competition in Shanghai as an example, this paper analyzes the three methods of generalization and specialization, analogy expansion and solution bypassing from the perspective of mathematics. The method and conclusion of this problem analysis have some enlightenment significance to the mathematical tools to analyze and solve related discipline problems.