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探索性问题是一种具有开放性和发散性的问题,此类题目的条件或结论不完备.要求解答者自己去探索,结合已有条件,进行观察、分析、比较和概括.它对学生的数学思想、数学意识及综合运用数学方法的能力提出了较高的要求.它有利于培养学生探索、分析、归纳、判断、讨论与证明等方面的能力,使学生经历一个发现问题、研究问题、解决问题的全过程.
The exploratory problem is an open and divergence problem. The conditions or conclusions of such a topic are incomplete. It requires the solver to explore on his own, combine the existing conditions, observe, analyze, compare and summarize. It is for students. Mathematical thinking, mathematics awareness, and ability to use mathematics methods in a comprehensive way raise high demands. It is beneficial to develop students' ability to explore, analyze, summarize, judge, discuss, and prove, and enables students to experience problems of discovery, research, and The whole process of solving the problem.