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课本习题是经过编者精心筛选的题目之精华,充分发挥好课本习题的作用.把学生从题海中解脱出来,也是开发学生智力.培养学生能力的重要途径.高一代数课本上有一道练习题: 证明 tgθ-ctgθ=-2ctg2θ.(P 195习题十一) 这道题的证明比较简单.如果一旦解出.就以为大功告成.又去找别的题目做,争取体会到下一次成功的喜悦,殊不知,这种做完一道题就放在一边的态度,恰恰错过了提高的宝贵机会.下面对该题进行变形推广。显然有:
Textbook exercises are the essence of the subjects carefully selected by the editors and give full play to the role of textbook exercises. Relieving students from the sea of questions is also an important way to develop students’ intelligence and cultivate their abilities. There is a practice problem in the textbook of the higher generation number: Proof tgθ-ctgθ=-2ctg2θ. (P 195 Problem XI) The proof of this question is relatively simple. If once solved, think that you’re done. Go to other topics and try to understand the joy of the next success. This attitude of putting aside a question on one side just missed the valuable opportunity for improvement. The following topic is a variant of the promotion. Obviously there are: