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笔者发现2013年中考武汉卷第24题的解法中呈现出通法与巧法相互辉映,彰显通法的适用性和巧法的灵动性,同时类比转化的数学思想方法大放光彩.从特殊到一般的问题设计使学生积累了解题经验,又不是简单的思路重复,让学生在发现不同时去发现问题的本质,提高了思维的深度.笔者从题目的解法入手,使读者体会特殊与一般、巧法与通法辩证关系.
The author finds that in the solution of the 24th exam of the Wuhan Examination of the Wuhan University Entrance Examination in 2013, the common method and the fine method are reflected in each other, which shows the applicability and ingenuity of the general method and the mathematical method of analogy conversion. The general problem design makes the students accumulate the problem-solving experience, but not the simple repetition of thinking, so that students find the essence of the problem at different times and improve the depth of thinking.The author starts with the solution to the problem so that the reader can understand the special and general The Dialectical Relationship between Qiao Fa and Tong Tong.