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函数在整个高中数学中占有举足轻重的地位,函数是高中数学的入门知识,是初中数学与高中数学的一个转折点,是贯穿高中数学的主线之一。函数观点和方法贯穿于整个数学教学过程,函数思想也是高中数学中重要的思维方式。高中阶段主要研究的基本函数为:一次函数、二次函数、反比例函数、指数函数、对数函数、三角函数。在多年的教学中发现研究这些函数的过程都是一样的:一、研究函数解析式;二、有函数解析式研究其函数图象;三、将函数解析式和图象结合起来研究函数的性质(定义域、值域、单调性、奇偶性、周期性、本身的特征性质),并应用性质解题。
The function occupies the pivotal position in the whole high school mathematics. The function is the introductory knowledge of high school mathematics. It is a turning point of mathematics in middle school and high school. It is one of the main lines of mathematics in high school. Function point of view and methods throughout the entire process of teaching mathematics, functional thinking is also an important way of thinking in high school mathematics. The main functions of high school are: primary function, quadratic function, inverse proportion function, exponential function, logarithmic function and trigonometric function. In many years of teaching found that the process of studying these functions are the same: First, the study of analytical functions; Second, there is a function of analytical function of the image; Third, the function analytic and image combine to study the nature of the function (Domain, range, monotonicity, parity, periodicity, characteristic of their own nature), and the nature of the problem.