类比法在中学数学中的应用 摘要：类 比法是数 学发 现中最常 用、最有 效的方 法之一，同时也是数 学解 题中非常实 用的一种方 法.类 比法也称 做“类 比推 理法”，是一种合 情推 理的思维方法.当遇到相对复杂的题目，我们可以先考虑与之相类似的简单的题目，从而寻找到适合的方法或规律解决复杂的问题.类比法无论是在知识的探究还是解决实际问题，都具有启发思路、提供线索、举一反三、触类旁通的作用.在中学数学中，应用到类比法的知识多种多样，而我着重写的是在解题方面，一些常常出现的、常见的类比，如一般与特别的类比、高维与低维的类比平面与空间的类比、方法的推广类比以及类比的局限性等.Analogism in middle school mathematics application Abstract: The analogism is in mathematics discovery is most commonly used, one of most effective methods, simultaneously also is in mathematics problem solving the extremely practical one method. The analogism also name makes “the analogy line or method of reasoning”, is one kind gathers the sentiment inference the thought method. When meets the relatively complex topic, we may consider first with it similar simple topic, thus seeks to the suitable method or the rule solution complex question. Regardless of the analogism is solves the actual problem in the knowledge exploration, all has the inspiration mentality, provides the function which the clue, extrapolates, understands by analogy. In the middle school mathematics, applies the analogism the knowledge many and varied, but I write am emphatically in the problem solving aspect, some appear, the common analogy frequently, like general and the special analogy, high dimension and low dimensional analogy, the plane and the spatial analogy, the method promotion analogies as well as analogies limitedly and so on. Keywords: Analogism;Gathers the sentiment inference; Mathematics; Application类比法在中学数学中的应用 据说“锯子”...
