探索解题中的“自然解法”

来源 :初中数学教与学 | 被引量 : 0次 | 上传用户:lgxbyc1
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我们解题追求的目标一般是简洁和流畅,但是自然的解法有时未必是简洁的.什么是自然解法?适合解题者认知的解法,才是最自然的解法.这与解题者建构的数学模型、积累的解题经验密切相关.下面以一道试题为例,谈谈如何寻找自然的解法.问题甲乙两人举行乒乓球比赛,赢者获得1000元人民币的奖励,规则是比赛5场,谁先赢3场,便算胜利.在每场比赛中,两人的胜率各占50%,前两场比赛,甲都胜了,因突发事件,不得不中断比赛,但这1000元的奖金 The objective of our problem solving is generally simple and fluid, but the natural solution is not always concise. What is a natural solution? The solution to the problem-solver’s cognition is the most natural solution. Mathematics model, accumulated problem solving experience is closely related to the following test questions, for example, to talk about how to find a natural solution to the problem A two people held a table tennis match, the winner received 1000 yuan reward, the rules of the game is 5 games, In each game, the two win each 50%, the first two games, A victory, due to unexpected events, had to interrupt the competition, but this 1,000 yuan bonus
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