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近年来,围绕“任意角三角函数定义”教学的热议不绝于耳.有的教师对传统教材中“终边定义法”难以割舍,直接给出三角函数定义,对“单位圆定义法”心理抵触,忽略了数学模型的建立与数形结合思想的培养;有的老师从锐角三角函数出发,通过“特殊与一般的关系”获得任意角的三角函数的概念.在研读教材中发现,任意角的三角函数的定义刻画了圆周运动中动点P的位置变化与相应角的关系,以及坐标与角的度数之间
In recent years, there are many hot topics around the teaching of “definition of arbitrary angle trigonometric function.” Some teachers find it hard to give up the definitions of trigonometric functions and define the unit circle Law “psychological conflict, ignoring the establishment of mathematical models and the combination of numerical combination of thinking; some teachers from the acute trigonometric functions, through the” special and general relationship "to obtain the concept of trigonometric functions at any angle. The textbook found that the definition of a trigonometric function of an arbitrary angle characterizes the relationship between the position change of the moving point P and the corresponding angle in the circular motion and the relation between the coordinate and the angle degree