摘要
本文首先讨论了函数、图形与性质之间的关系,认为它们是三位一体且互相等价的,因此,研究函数的性质就是为了研究函数和图象;其次讨论了函数的各类性质,并指出这些性质虽然是反映函数图象的几何特征的,却都是利用代数形式定义并用代数方法推导的;因此,从认知学的角度提出了在高等数学的教学中要重视代数形式的演绎推导的观点。
This paper firstly discusses the relationship of functions, images and properties and thinks they are three-inone and mutually equivalent. Therefore, the study of the property of functions is to study functions and images; secondly, it discusses various properties of functions and points out that although these properties are to reflect the geometric features of function images, they use algebraic forms to define and use algebraic methods to deduce. Therefore, the paper puts forward the opinion of valuing algebraic deduction in the teaching of advanced mathematics from the perspective of cognition.
出处
《科教导刊》
2013年第17期70-71,共2页
The Guide Of Science & Education
关键词
函数
图象
几何特征
代数方法
function
geometric features
algebraic methods
