析题谈愿——读《一道数学题引起的争议》有感

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《江苏教育(小学版)》1992年第一期《一道数学题引起的争议》介绍了一道毕业会考题,这是一道值得研究的数学题。此题的算式不复杂,50+5×[(50-20)÷(20-5)]=60(天),但难度却不低。说它难,是因为:第一,虽说涉及的知识没有超出教材,但其解题思路对考生来说是完全陌生的。解题者要循着如下路子去思考:解题思路中“综合—比较—再综合”的过程,要综合前后两次提供的条件,一一对应地比较,再综合得出甲队30天的工作相当于乙队15天的工作量的结论,这种思维模式不仅教材中没有出现过,而且跨度和跳跃性都很大,即使专门讲授也非全体都能很快掌握。第二,试 “Jiangsu Education (Primary Edition)” 1992 the first issue of “a controversy caused by math problems” introduced a graduation exam questions, which is a mathematical problem worth studying. The formula is not complicated, 50 +5 × [(50-20) ÷ (20-5)] = 60 (days), but the difficulty is not low. It is difficult to say, because: First, although the knowledge involved did not exceed the textbook, but the problem-solving ideas for students is completely unfamiliar. Solvers should follow the following path to think: the problem-solving ideas of “comprehensive - comparison - re-integrated” process, to be integrated before and after the provision of two conditions, one by one to compare, and then come to a team 30 days Work is equivalent to 15 days of team B workload conclusion, this mode of thinking not only did not appear in the textbook, and the span and jumping are great, even if specialized teaching can not all can quickly grasp. Second, try
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