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直接从解析式去研究函数的性质,是研究函数的常用基本方法.尤其是对于那些我们比较熟悉的类型,从解析式得知它的定义域、值域、奇偶性、单调性、周期性等一般性质,似乎谈不上什么研究的策略.本文探讨的问题是:如果已知函数的解析式,并且假设函数是陌生的,我们应采取什么策略去研究这个函数呢?策略一:借助于函数图像来研究函数图像自身是函数的一种表示形式,同时也是函数性质的另一种表达.
Studying the nature of a function directly from the analytic formula is a common basic method for studying functions, especially for those familiar with us, knowing its domain, range, parity, monotonicity, periodicity, etc. from the analytic formula General nature, it seems that there is no strategy to study what this article explores: If we know the analytical function of the function, and assuming that the function is unfamiliar, what strategy should we take to study this function? Strategy One: With the help of the function Image to study the function of the image itself is a representation of the function, but also another expression of the nature of the function.