函数图像是对函数性态的直观描述.函数表达式与函数图像间的关系是数形结合思想的完美体现.中学数学中为了考查学生的抽象思维能力,编制了许多复杂的与函数有关的问题.解这类问题时如果能巧妙借助函数图像,则会极大地减轻学生的思维负担.运用函数图像解释、“翻译”、处理函数类问题还有助于学生加深对函数概念的理解,提高对函数本质的认识,进而提高解决其他数学问题的能力.1.运用函数图像间的关系描述方程的根方程与函数之间的关系是十分密切的.一切求方程根的问题皆可视作求相应函数值为零时自变量 Function image is an intuitive description of the function of the state.Functional expression and function of the relationship between the image is a perfect combination of mathematical combination of numbers to learn high school mathematics in order to examine the ability of students’ abstract thinking, the preparation of a number of complex and function-related issues When solving such problems, if we can skillfully use the function images, it will greatly reduce the students’ thinking burden.Using the function image interpretation, “translation ”, dealing with the function class problems will help students to deepen the understanding of the function concept, Improve the understanding of the nature of the function, and thus improve the ability to solve other mathematical problems.Using the relationship between the function and the image to describe the relationship between the root equation and the function of the equation is very close.Everything to ask the root of the equation can be regarded as Find the corresponding function value is zero when the independent variable