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近日,笔者在我校的培优课堂中给出了如下问题:题目1数列{an}满足an+1=a3n-3an,且a1=3/2,求数列{an}的通项公式.由次数形式便知该题并非常规题型,以往常用的求通项公式的技巧方法很难找到该题的突破口.因此,笔者投影出试题后,近十余分钟“忍”着未做任何提示,仅在教室中循环走动,仔细观察着“尖子”们的分析与解题思路,感受着“尖子”们此刻的发散思维、静心思考,同时也急切盼望着正确结果的出现.
Recently, the author gave the following questions in our school’s excellent classroom: Topic 1 series {an} to meet an + 1 = a3n-3an, and a1 = 3/2, The number of times that the problem is not a regular question type, the common method used to find the formula is difficult to find a breakthrough in the problem.Therefore, I project the test questions, nearly ten minutes Promptly, we only walk through the classrooms and carefully observe the analysis and problem-solving ideas of the “top-level children” and feel the divergent thinking and thinking meditation of the top-level children at the moment. We are also eagerly looking forward to the emergence of the correct results .