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进入九年级的学习,“二次根式”一章中涉及到了一些最为基本的数学思想,如转化思想、整体思想、类比思想、分类讨论思想、数形结合思想等,教学中要注重数学思想的灵活运用,这对于二次根式的性质探究、二次根式的化简、计算、求值都具有重要意义.为此,笔者就二次根式中数学思想的体现与渗透做些分析,愿与大家共勉.一、转化思想所谓转化思想,就是指将需要解决的问题,归结为另一个比较容易解决的问题,从而达到化未知为己知的目的.二次根式内容中的转化思想主要体现在两
Into the ninth grade learning, “second root ” chapter involves some of the most basic mathematical thinking, such as transformation of thinking, the overall thinking, analogy, classification of thinking, combination of ideas with numbers, teaching should pay attention to mathematics The flexible use of ideas is of great significance for exploring the nature of quadratic roots, simplifying, calculating and evaluating quadratic roots, and for this reason, the author analyzes the embodiment and infiltration of mathematical ideas in the second radical And encourage each other.A transformation thinking The so-called transformation thinking, refers to the problem to be solved, boiled down to another easier problem, so as to achieve the purpose of the unknown.Graphic content in the transformation of the main ideas In two