三角函数作为高中数学的重要内容之一因其内涵深刻、题型丰富,加之覆盖面广、方法灵活,它不仅是初、高等数学的重要衔接点,更是考查学生逻辑思维能力和推理运算能力的重要考点.在解决相关的三角函数问题中,若能恰当地构造与之匹配的函数、不等式及方程等,进而利用函数、不等式的性质以及方程的思想求解,将会起到出奇制胜的功效.本文旨 As one of the important contents of high school mathematics, trigonometric function is not only an important convergence point of elementary and advanced mathematics, but also has a wide range of topics, abundant types of questions, extensive coverage and flexible methods. It also examines students’ ability of logical thinking and inference computing Important test points in solving the related trigonometric function problems, if we can properly construct the matching functions, inequalities and equations, and then use the function, the nature of inequalities and equations to solve the idea, will play a surprising success. Purpose