函数单调性是函数知识中的重要概念.为便于学生掌握,本文试从几个侧面阐述对函数单调性的理解及应用.为方便叙述,文中涉及的相关问题均在函数f(x)的定义域内某个区间D上.一、图象理解上升则增,下降则减,陡快坡慢.例1已知函数y=f(x)的图象如图1所示,试作出y=f′(x)的草图.分析函 Function monotony is an important concept in function knowledge. In order to facilitate students’ mastery, this paper tries to elaborate the understanding and application of monotonicity of function from several aspects. For the convenience of narrative, the related problems involved in the paper are defined in the function f(x). Within a certain interval D in the domain, first, the image understanding rises, then decreases, then decreases, and steep steep slopes are slow. Example 1 The image of the known function y=f(x) is shown in Fig. 1, and try to make y=f Sketches of ’(x). Analysis Letters