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本文介绍高中数学中一些常用的解题思维方式,并通过典型例题的分析和讨论加以具体说明.一、特殊化与一般化由于一般性寓于特殊性之中,对于一个复杂的问题,如果从一般角度解题有困难,那么我们就可以通过考察和研究它的特殊情况,寻求和发现一般规律及方法.这种从特殊入手解决问题的思考方式,通常称为“特殊化法”.特殊化是一种以屈求伸、欲进先退的思维方法.在数学解题和数学研究中经常用到.我国著名数学家华罗庚先生就曾经指出:“善于‘退’,足够地
This article introduces some commonly used problem-solving modes of thinking in high school mathematics and explains them in detail through the analysis and discussion of typical examples. First, specialization and generalization are generally contained in particularity, and for a complex issue, if There are difficulties in solving problems through the angle. Then we can seek out and discover the general laws and methods by examining and studying its special circumstances. This kind of way of thinking to solve problems from a special point of view is often called the “specialization method”. It is a way of thinking that is to bend and stretch, to make progress, and to retreat first. It is often used in mathematics problem solving and mathematics research. The famous Chinese mathematician Mr. Hua Lugeng once pointed out: ”Good to retreat", enough