论文部分内容阅读
数学探究能激发学生的学习兴趣,开发他们的创新潜能,帮助他们养成独立思考的习惯.教材中有许多材料可以开发为探究素材.下面是笔者在教学过程中通过挖掘教材中的习题,引导学生进行探究的过程.题目(高中数学人教A版必修4教材中习题3.2B组第5题)设f(α)=sinxα+cosxα,x∈{n|n=2k,k∈N+}.利用三角变换,估计f(α)在x=2,4,6时的取值情况,进而对x取一般值时f(α)
Mathematical inquiry can stimulate students’ interest in learning and develop their innovative potential to help them develop the habit of independent thinking .There are many materials in the textbook can be developed to explore the material.The following is the author in the teaching process by mining textbooks in the exercises, guide Students explore the process. Subject (high school mathematics teaching A compulsory 4 textbook exercise 3.2B Group 5) Let f (α) = sinxα + cosxα, x∈ {n | n = 2k, k∈N +}. Using trigonometric transformation, we estimate the value of f (α) at x = 2, 4 and 6, and then f (α)