类比推理是理解新问题、拓展新领域的重要手段.波利亚曾说:“如果没有相似推理,那么无论是在初等数学还是高等数学中,甚至在其他任何领域中,本来可以发现的东西,也可能无从发现.”开普勒也说:“我珍惜类比胜于任何别的东西,它是我最可依赖的老师,它能揭示自然界的秘密,在几何学中尤其不能忽视它.”以下是类比推理的应用举例.类比推理具有探索真理,发现真理的作用,是科学创造中的一个重要思想方法.在数学学习中若注意自觉运用类比推理 Analogical reasoning is an important way to understand new problems and expand new fields. “Polia once said:” If there is no similar reasoning, then things can be found either in elementary or advanced mathematics or even in any other field May not be discovered. “” Kepler also said: “I treasure the analogy over anything else, it is my most dependent teacher, it can reveal the secrets of nature, especially in geometry can not ignore it . ”The following is an example of the application of analogical reasoning: analogical reasoning has the function of exploring truth and discovering truth, which is an important way of thinking in scientific creation.If we pay attention to using analogical reasoning