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函数是中学数学中重要的基本概念之一,培养学生的函数思想是中学数学教学的一项基本任务,学生在初中学习直线和二次函数已经知道图像的左右平移和上下平移,在现行新编《全日制普通高级中学教科书(试用修订本)数学》第一册《函数》一章中,再次使用图像平移和图像翻折,并且在习题中出现了函数方程。在教科书的第四章增加了y=Asin(wx+)(w≠0,A≠0,,w,A为常数)的图像变换过程中的步骤框图,1987年高考第6题,1999年高考第17题,就考察了学生这方
The function is one of the important basic concepts in middle school mathematics. Training student’s function idea is a basic task of mathematics teaching in middle school. Students learn straight line and quadratic function in junior high school already know the left and right translation of image and up and down translation. In the chapter “Functions” in the book “Full-time Ordinary Senior High School Textbook (Test Revision) Mathematics”, image translation and image reversal were used again, and function equations appeared in the exercises. In the fourth chapter of the textbook, a block diagram of the process of image transformation in which y=Asin(wx+) (w≠0, A≠0,, w, A is a constant) is added. In the 1987 college entrance examination question 6, the 1999 college entrance examination 17 questions, on the student side