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证明三角恒等式是三角教学的一个重点,也是难点.难点在于:怎样才能寻到解题的思路,从而采取合理的变形方法,达到证明的目的.我在教学中体会到:为突破这个难点,须要教会学生掌握证明三角恒等式的一般思维规律,并把“据果变形”作为恒等变换的指导思想.所谓“据果变形”,就是从问题的条件出发,细心观察问题的结果,抓住条件与结论间的联系进行分析,从而确定解题方案.下面举例加以说明:
It is a key and difficult point to prove that the triangle identity is a triangulation teaching. The difficulty lies in: how can we find a solution to the problem, so as to adopt a reasonable deformation method to achieve the purpose of the proof. I learned in teaching: in order to break this difficult point, need to The students are taught to master the general rules of thinking that prove trigonometric identity, and to use “deformation according to fruit” as the guiding ideology of constant transformation. The so-called “deformation according to fruit” is to start from the conditions of the problem, observe the result of the problem carefully, grasp the conditions and The links between the conclusions are analyzed to determine the solution to the problem. The following examples illustrate: