同学们在学习三角函数时 ,大多比较注重三角函数的图象与性质 ,而对三角函数线重视不够 .其实用三角函数线解题直观、简捷 ,省时省力 .下面通过 6例以展示其解题的奇特功能 .例 1　若 0 α β π2 ,试比较sinα -α与sinβ - β的大小 .此题求解方法繁多 ,今给出利用三角函 When students are learning trigonometric functions, most of them pay more attention to the image and nature of trigonometric functions, but they pay less attention to trigonometric function lines. Their practical trigonometric function lines solve problems intuitively and simply, saving time and effort. The following 6 cases are used to demonstrate the solution. The strange function of the problem. Example 1 If 0 α β π2, try to compare the size of sinα-α and sinβ-β. There are many methods to solve this problem.