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函数是高中数学知识的主干,常与其它章节综合在一起考查,在历年的高考中占有重要地位,如2004年高考中,函数的部分题目均以选择题、解答题“压轴”的身份出现,一般综合性强,难度大.如果合理的应用函数的思想、巧妙构建辅助函数,借助导数的相关知识及函数的单调性、最值等问题,处理好与函数有关的综合性问题, 使解题思路自然通畅,困难迎刃而解.
Function is the backbone of high school mathematics knowledge, often combined with other chapters to examine, has played an important role in the college entrance examination over the years. For example, in the college entrance examination in 2004, some of the functions of the function appear as multiple-choice questions and answer questions as the finale. Generally speaking, it has strong comprehensiveness and great difficulty. If the idea of a reasonable application function is used to skillfully construct an auxiliary function, with the help of the relevant knowledge of the derivative and the monotonicity and the maximum value of the function, the comprehensive problems related to the function are handled well and the problem is solved. The idea is natural and smooth, and the difficulty is easily solved.