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一般化是指从某类对象的研究转向对包含了该类的更广泛的一类对象的研究,它是从特殊到普遍的一种思维方法.类比是指根据两个对象之间的相似,把信息从一个对象转移给另一个对象,它是从一个具体对象到另一个具体对象的推理.[1]一般化或类比是获得发现的伟大源泉,也是产生数学猜想的重要手段,而二者有意识地结合,则可以把数学猜想引向深入,进而揭示某类数学问题更一般的规律.
Generalization refers to the research from a certain type of object to a broader category of objects that contains this class, which is a special to universal thinking method.Analogy refers to the similarity between two objects, Transferring information from one object to another is the reasoning from one concrete object to another.1 Generalization or analogy is a great source of discovery and an important means of generating mathematical conjectures, Consciously combined, you can lead the mathematical speculation in-depth, and then revealed a more general law of certain mathematical problems.