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含参量函数,顾名思义即是函数解析式中含有参数,对于此类函数单调区间的确定既是教学的薄弱点、学生学习的难点,同时又是高考命题的热点.学生在求解此类问题时,往往无从下手。为此,本文通过几个例子的解析旨在给学生以方法上的启迪,先从一道题谈起. 已知f(x)=x3-3x, (1)确定函数f(x)的单调区间,以及在每一区间上该函数是单调增函数还是单调减函数.
Parametric functions, as the name suggests, are the parameters in the function analytical formula. The determination of the monotonic interval of such functions is not only the weak point of teaching, but also the difficulty of student learning. At the same time, it is the hot spot of the college entrance examination proposition. Students often solve such problems, often No way to start. For this reason, the analysis in this paper through several examples is intended to give students a methodological inspiration, starting with a question. Knowing f(x)=x3-3x, (1) Determine the monotonic interval of the function f(x). , and whether the function is a monotonically increasing function or a monotonically decreasing function in each interval.