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在讲授了和角与差角的正弦、余弦、正切公式后,我组织了一堂练习课。其目的在于:第一,巩固上述六个公式;第二,使学生掌握由已知几个单角的三角函数值,确定这些角之间的关系这一类问题的解法。教学过程分为四步。一、通过教材P180例1(1)(已知tgα=1/3,tgβ=-2,求ctg(α-β)复习公式Tα-β, 二、通过教材P180例1(2)(已知tgα=1/3,tgβ=-2,且α∈(0,π/2),β∈(π/2,π),求α+β)提出问题,阐述解题规律。
After teaching the sine, cosine and tangent formulas for the angles and angles, I organized a practice class. Its purpose is to: First, consolidate the above six formulas; Second, to enable students to grasp the solution to the problem of the relationship between these corners by knowing the value of several single-angle trigonometric functions. The teaching process is divided into four steps. First, through the textbook P180 Case 1 (1) (known tgα = 1/3, tgβ = -2, seeking ctg (α-β) review formula Tα-β, two, through the teaching material P180 Case 1 (2) (known Tgα=1/3, tgβ=-2, and α∈(0,π/2),β∈(π/2,π), find α+β) Ask a question and explain the law of problem solving.