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函数是高中数学学习的核心内容,在解决很多数学问题上都需要用到函数的相关知识.在函数教学中,应注意启发学生的数学思维,并引导学生在生活中运用数学建模的思想解决问题.一、初学者应把握的函数概念教师一定要让学生充分把握函数的基本概念,从基本入手,逐渐深入,充分体会理解函数的定义.1.函数的解析式与定义域函数的三要素———定义域、对应法则、值域.三者之间并不是独立无关的,而是相互关联和依存的.定义域是指自变量的取值范围,值域是定义域在对应法则下的象的集合,对应法则则是以解析式的形式表现,有时候也可函数用图象和简单列表表示.当两个函数的解析式和定义域完全一
Function is the core content of high school mathematics learning, in solving many mathematical problems need to use the function of the relevant knowledge.In the function of teaching, should pay attention to inspire students’ mathematical thinking, and guide students to use mathematical modeling in life thinking First, the concept of function for beginners should grasp the basic knowledge of the students must make full use of the basic concepts, from the basic start, and gradually understand the full understanding of the definition of the function.Functional analytic and domain functions of the three elements --- Domain, the corresponding law, the value of the domain. The three are not independent of each other, but interrelated and dependent. Domain is the range of independent variables, the domain is the domain under the corresponding law The collection of images, the corresponding law is expressed in the form of analytic, and sometimes the function can also be used to represent the image and a simple list. When the two functions of the analytic type and the domain is completely