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苏教版《高中数学教学参考书选修2—2》指出:类比可以看成是从已知的相似性,推断未知的相似性的推理.在教学中要引导学生对类比的过程进行分析,弄清在推理中究竟是从哪些已知的“相似性”推出什么样的未知的“相似性”的.在运用类比推理时,首先要找出两类对象之间可以确切表述的相似性(或一致性),然后,再用一类对象的性质去猜测另一类对象的性质,从而得出一个猜想;最后,检验这个猜想.本文试结合一些具体的实例,谈谈这方面的做法,以期提高学生解决
Sujiao version of “high school mathematics teaching reference book elective 2-2” pointed out: analogy can be seen as known from the similarities, infer the similarity of unknown reasoning in the teaching should guide students to analyze the process of analogy, get What kind of unknown “similarity ” is deduced from which known “Similarity ” in reasoning.When analogical reasoning is used, we must first find the exact expression between two kinds of objects Similarity (or consistency), and then use the nature of a class of objects to guess the nature of another class of objects to arrive at a conjecture; Finally, test the conjecture .This article combined with some specific examples to talk about this aspect The practice, with a view to raising students to solve