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全国统编数学教材配备的例题与习题,类型较齐全而且具有一定的典型性。因此,在教学中注意充分发挥例、习题的作用,是一个值得认真探究的问题。下面谈谈对高中《数学》第一册中两个例、习题的探究,以供同志们参考。 1、教材第30页例2“已知函数f(x)是奇函数,而且在(0,+∞)上是增函数,f(x)在(-∞,0)上是增函数还是减函数?”这是一个研究奇偶函数在(-∞,0)和(0,+∞)上增减性的规律问题。这类问
The examples and exercises used in the compilation of mathematics textbooks in the country are relatively complete and typical. Therefore, paying attention to the full play of examples and exercises in teaching is a question worthy of serious investigation. Let’s talk about two examples and exercises in the first volume of mathematics in high school for reference by comrades. 1. Example 2 on page 30 of the textbook “The known function f(x) is an odd function and is an increasing function on (0,+∞), and f(x) is an increase or decrease on (-∞,0). Function?” This is a law of study for the increase and decrease of parity functions on (-∞, 0) and (0, +∞). This kind of question