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本文就现行中学数学教材中关于等价方程(组)与等价不等式(组)的内容处理谈些个人看法,请批评指正。一、同解方程(组)与同解不等式(组) 同解方程(组)、不等式(组)的理论,历来是中学数学教师关心的问题。我国五十年代和六十年代前期的教材,曾经讲述了同解方程(组)、不等式(组)的初步知识。一九七八年开始试用的通用教材,借鉴某些国家的做法,删去了同解方程(组)、不等式(组)的内容,直接利用等式、不等式的性质来解方程(组)、不等式(组)。不少教师对这种处理有意见,主要是: 1、等式的性质和方程的同解定理,在条
This article discusses some personal opinions on the content processing of equivalent equations (groups) and equivalent inequalities (groups) in the current middle school mathematics textbooks. Please criticize and correct me. 1. The theory of solving equations (groups) and solutions of inequalities (groups) The same theory of solving equations (groups) and inequalities (groups) has always been a concern of middle school mathematics teachers. The teaching materials of China in the 1950s and the early 1960s once described the preliminary knowledge of equations (groups) and inequalities (groups) of the same solution. The general textbooks that began trials in 1978 draw lessons from the practices of certain countries and delete the contents of the equations (groups) and inequalities (groups) of the solution, and directly use equations and inequalities to solve equations (groups). Inequality (group). Many teachers have opinions on this kind of processing, mainly: 1. The nature of equations and the same solution theorems of equations.