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1引言《普通高中数学课程标准(实验)》指出,应注重提高学生的数学思维能力,重视数学能力的培养,让学生逐步学会分析、综合、归纳、类比等重要的思想方法.在各种数学思想方法中,类比推理是一种富于创造的方法.类比推理的实质就是根据两类不同事物间具有某些相似(或一致)性质,推测其中一类事物具有与另一类事物相似(或相同)的性质的推理.在高中的学习中,类比推理可以体现在由一维到二维,由二维
1 Introduction Ordinary high school mathematics curriculum standard (experiment) pointed out that should pay attention to improve students’ ability of thinking in mathematics, emphasis on mathematics ability training, let students gradually learn analysis, synthesis, induction, analogy and other important ways of thinking in a variety of mathematics Analogical reasoning is a creative method in thought method, and the essence of analogical reasoning is that according to some similar (or consistent) properties between two kinds of different things, it is presumed that one of them has something similar to another (or The same) the nature of reasoning in high school learning, analogical reasoning can be reflected in the one-dimensional to two-dimensional, two-dimensional