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众所周知,函数的表示方法有解析式、列表和图象三种形式.图象是表示函数的一种重要形式,其最大优点是直观.高考中的图象试题一般以三种形式出现:给出已知条件要求学生识别图象;根据所给的图形要求学生匹配出相应图象、函数表达式和函数性质;没有图象要求学生通过数形结合思想巧妙地利用图象解题.本文以2012年高考试题为载体,对图象试题进行分类选析,旨在探索题型规律,揭示解题方法.1.识图给出函数解析式,要求学生能通过定性分析函数的性质(如单调性,奇偶性等)准确判断函数的图象.
It is well-known that there are three forms of expression of functions, such as analytic form, list form and image form. Image is an important form of function representation, and its biggest advantage is intuitive. The image test questions in college entrance examination generally appear in three forms: Known conditions require the students to recognize the image, and according to the given image, the students are required to match the corresponding image, the function expression and the nature of the function, and no image requires students to skillfully use the image to solve the problem through the combination of the number and shape. Year college entrance examination questions as a carrier, the image test questions classification analysis, aimed at exploring the type of questions to reveal the problem-solving method.1 knowledge map gives the function analytic formula, require students to qualitative analysis of the nature of the function (such as monotonous , Parity, etc.) to accurately determine the function of the image.