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解一元一次方程的一般步骤是“去分母、去括号、移项、合并同类项、系数化1”.但对于一些特殊形式的一元一次方程,我们若能抓住方程的结构特征,选择恰当的方法,灵活安排求解步骤,就能简化求解过程,提高解题速度,达到事半功倍的效果.下面介绍几种常用的解题方法和技巧,供初一同学学习参考. 一、巧去括号例1 解方程3/2[2/3(1x/4-1)-2]-2=x. 分析:因为中括号外的3/2与中括号内的2/3互为倒数,且3/2·(-2)=-3,所以要由外到内去括号为好.
The general procedure for solving a one-dimensional equation is to “de-denominator, parentheses, transfer term, merger of similar terms, coefficientization 1”. However, for some special forms of univariate equations, if we can grasp the structural features of the equation, select the appropriate ones. The method of flexibly arranging the solution steps can simplify the solution process, improve the speed of problem solving, and achieve a multiplier effect. Here are some commonly used problem-solving methods and techniques for junior students to learn and reference. I. Cleverly bracketed example 1 solution Equation 3/2[2/3(1x/4-1)-2]-2=x. Analysis: Because 3/2 outside square brackets and 2/3 inside square brackets are reciprocal, and 3/2· (-2)=-3, so it is better to use parentheses from outside to inside.