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已知函数f(x)=Asin(ωx+φ)在一个周期的图像,求A,ω,φ的值,是高考的热点问题,能充分考查学生的数形结合思想和转化与化归思想.此种题型大部分是由课本习题改编而来.最近,在复习课时,一道课本习题的解答,在学生中产生了很大的争议,看似十分合理的解法,但结果错了,而且不知错在哪里?本文展示出来,以期引起重视!题目(北师大版教材必修4第55页第一章习题1—8 B组第1题)函数f(x)=Asin(ωx+
Known function f (x) = Asin (ωx + φ) in a cycle of image, find the value of A, ω, φ, is a hot issue in the college entrance examination, students can fully examine the combination of number and shape and transformation and conversion of thought Most of this type of questions is adapted from textbook exercises.Recently, in the reviewing class, a solution to a textbook exercise has created a lot of controversy among students, and seems a very reasonable solution, but the result is wrong, and I do not know where is wrong? This article is displayed, with a view to attracting attention! Title (Beijing Normal University edition of compulsory education 4 Page 55 Chapter I Exercise 1-8 Group B first question) Function f (x) = Asin (ωx +