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1.问题的提出与呈现近几年,笔者在高三的数学教学中发现,学生对分类与整合的数学思想方法虽比较熟悉,通常也能找到解决问题的突破口,但“会而不对、对而不全”的现象较为严重.究其原因,主要是他们难以整体把握分类的“标准”.纵观近几年高考试题,通常是由参数的变化及变化过程需要一些条件的限制而引起的分类讨论.下面笔者结合一道高考数学改编题的教学,谈谈如何运用分类思想解决有关含参变量的分段函数
1. Problems raised and presented In recent years, I found in the third year of mathematics teaching, students in the classification and integration of mathematical thinking methods are more familiar with, and usually can find a breakthrough to solve the problem, but “right or wrong, right The main reason is that it is difficult for them to grasp the classification ”standard " .Over the recent years college entrance examination examination questions, usually by the parameters of the change and the change process requires some conditions and restrictions Caused by the classification discussion below the author combines a college entrance math math title teaching, talk about how to use the classification of ideas to solve the variable parameters with the piecewise function