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六年制重点中学高中数学课本《代数》(试用本,以下简称新教材)第一册的第一章是“实数集”,分为两大节。第一大节介绍集合的初步知识,与原来的全日制十年制学校高中课本(试用本,以下简称原教材) 《数学》第一册的相应内容基本一致,但适当充实了一些。第二大节介绍实数集,根据复习提高的要求,参考国外教材对这一内容的不同处理以及我国中学数学教学的具体条件,采用介绍到实数集为止的方法,把学生已经学过的自然数集、整数集、有理数集和实数集的基本性质作了系统的归纳。下面就本章教材作一简介。一、关于集合这部分教材是在学生学过初中数学的基础上,引入集合、子集、交集、并集、补集等概念以及一些有关的符号。要求学生理解这些概念,并能正确使用有关符号,能运用它们重新叙述初中学过的一些概念,如方程(组)、不等式(组)的解集,线段、直线、射线和它们的交点,整数分为奇数、偶数,实数分为有理数、无理数等等。通过这部分内容的学习,为以后学习映射概念和各种基本初等函数,学习从自然数集
The first chapter of the first volume of the six-year key middle school high school mathematics textbook “Algebra” (trial version, hereinafter referred to as the new textbook) is the “Real Number Set” and is divided into two major sections. The first section introduces the preliminary knowledge of the collection, which is basically the same as the corresponding contents of the first volume of the original full-time 10-year high school textbook (trial version, hereinafter referred to as the original textbook) “Mathematics”, but it has been enriched. The second section introduces the real number set. According to the requirements for review and improvement, the reference is made to the foreign textbooks for different treatment of this content and the specific conditions for mathematics teaching in middle schools in China. The method introduced to real numbers is used to set the natural number that the students have already learned. The basic properties of the integer set, rational number set, and real number set are systematically summarized. The following is a brief introduction to the textbooks in this chapter. First, on the collection of this part of the teaching material is based on the students learned mathematics junior high school, the introduction of the concept of collection, subset, intersection, union, complement and other related symbols. Students are required to understand these concepts and use the symbols correctly. They can use them to re-state some of the concepts that were learned in the beginning, such as equations (groups), solutions of inequalities (groups), line segments, lines, rays, and their intersections. Is divided into odd, even, real numbers are divided into rational numbers, irrational numbers and so on. Through the study of this part of the content, learn from the natural number set for learning mapping concepts and various elementary elementary functions later.