关于“射影”概念的思考  

Reflections on Concept of “Image”

作　　者：张俊青[1] 牛雨茜 ZHANG Junqing;NIU Yuqian(Department of mathematics,Changzhi University,Changzhi 046011,China)

机构地区：[1]长治学院数学系,山西长治046011

出　　处：《高等数学研究》2018年第4期35-38,共4页Studies in College Mathematics

摘　　要：空间解析几何和高等数学教材中引入的射影概念和高中数学中的射影概念互相冲突甚至矛盾,给初学者带来困惑.实际上,教材中可以不引入射影概念,而利用此概念解决的三个问题也可做变通或替换处理.概念是数学的灵魂,但不能盲目引入,需符合经济性和无矛盾性原则.中学和大学数学教材编写各自为政是造成这种现象的主要原因.The concept of＂Image＂introduced in the Space Analytic Geometry and in most of the Higher Mathematics textbooks are conflicting and even contradicting with the related contents in high school mathematics,which confuses beginners.In fact,the textbook needn＇t introduce the concept,and the use of this concept to solve the three problems can be modified.The concept is the soul of mathematics.It can＇t be blindly introduced unless it is consistent with economic and non-contradictory principles.The lack of communication and cooperation between the writers for the middle school and university mathematics textbooks is the main reason for this phenomenon.

关 键 词：射影 分配率 概念引入 教材编写 

分 类 号：G642.1[文化科学—高等教育学]