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在解决某些数学问题时,学生常常容易出现错误,或过程烦琐,或思路不畅.这时,如果引导学生从基本的知识点出发,回归定义,从定义入手,探本求源,寻找学生的最近发展区,则往往思路清晰,学生也会觉得亲切、自然,数学问题的解决也会变得生动而简单.案例1注重三角函数定义的理解与应用.在平面直角坐标系中,设角α的终边上任意一点P(x,y),它与原点的距离为r=OP=(x2+y2)~(1/2)(r>0).规定:(1)比值y/r叫做角α
In solving some math problems, students are often prone to errors, or cumbersome process, or poor thinking. At this time, if students are guided from the basic point of departure, return to the definition of starting from the definition, explore the source, looking for students Of the recent development zone, the ideas are often clear, students will feel kind, natural, mathematical problems will be solved vivid and simple Case 1 focus on the understanding and application of the definition of trigonometric functions in the Cartesian coordinate system, set the corner (x, y) and its distance from the origin is r = OP = (x2 + y2) ~ (1/2) (r> 0), specifying that: (1) the ratio y / r Called angle α