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数学猜想是对研究的对象或问题进行观察、实验、分析、比较、类比、联想、归纳等,依据已有的材料和知识作出符合一定的经验与事实的推测性想象,是一种非逻辑性方法。学生在猜想过程中,新旧知识的碰撞会激发智慧的火花,思维会有很大的跳跃性,提高数感,发展推理能力,锻炼数学思维。纵观数学发展历史,很多著名的数学结论都是从猜想开始的。
Mathematical conjecture is to observe, experiment, analyze, compare, analogy, associate and summarize the object or problem of the study. It is an illogical reason to make a conjectural imagination that conforms to certain experience and fact based on the existing materials and knowledge method. Students in the conjecture process, the collision of old and new knowledge will spark the wisdom of thinking will be a great jump, improve the number of flu, the development of reasoning skills, exercise mathematical thinking. Throughout the history of mathematical development, many well-known mathematical conclusions are from the guess.