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运用典型例题组织高三数学复习是防治题海战的一个有效措施。而例题的典型性不在于题目的深浅、解题方法的难易,而在于题目结构简明而富于思考、解题方法灵活而不偏不怪,对其它问题又有启发、指导性意义。能达到做一题、通一片、提高一步的目的。据此原则,笔者曾组织一次求三角函数极值的复习课。在简要复习了求三角函数极值的基本概念,基本方法后,就提出了:“求y=2sin~2x+1/2sin~2x的最小值”的问题。同学们利用不等式很快得出了结果y_min=2,在充分肯定他们的解法后又提出了:“求y=sinxcosx
The use of typical sample questions to organize high school mathematics review is an effective measure to combat naval battles. The typicalness of the examples is not the depth of the topics, the difficulty in solving the problems, but rather the conciseness of the topic structure, the richness of thinking, the flexibility of the problem-solving method, and the fact that it is instructive. Can achieve a problem, pass a piece, improve the purpose of one step. Based on this principle, the author once organized a review class for the extremum of trigonometric functions. After briefly reviewing the basic concepts and basic methods for finding the extremum of a trigonometric function, the following question was asked: “Find the minimum value of y=2sin~2x+1/2sin~2x”. The students used the inequality quickly to get the result y_min=2. After fully affirming their solution, they put forward: “Seeking y=sinxcosx