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在求解数学问题的过程中,如果能够开动脑筋、开拓思路,活化思维途径,常常可以大大地简化解题过程,从而快速简捷获解,同时,对培养同学们的创造才能、提高思维品质、形成良好的认知结构都具有重要的作用.一、巧用类比猜想根据数学对象的已知性质,通过巧妙的类比猜想,常常可以推出另一个数学对象的相应结果.类比猜想不仅是数学发现和发展的重要手段,并
In the process of solving mathematical problems, if we can use our brains, develop ideas, ways to activate thinking, often can greatly simplify the process of solving problems, so quick and easy solution, at the same time, to train students’ ability to create, improve the quality of thinking, the formation of Good cognitive structure has an important role.First, the use of analogy guess According to the known nature of mathematical objects, through clever analogy, often can be derived from the corresponding results of another mathematical object.Similarity conjecture is not only mathematical discovery and development The important means, and