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三次函数的图像及性质在现行的高中《数学》教材中虽未给予介绍,在近几年的全国各省市高考数学试卷中,却频频出现以三次函数为背景的问题,以导数为工具,重点考查了有关三次函数的单调性、极值、在闭区间上的最值、对参数式的取值范围的探究等,凸显“在知识网络交汇点上命题”的理念。下面举例说明,希望对同学们有所帮
Although the image and nature of the cubic function have not been introduced in current high school “mathematics” teaching materials, in recent years, all provinces and municipalities in the college entrance examination mathematics papers, but frequently appear in the background of the cubic function of the problem, the derivative as a tool, the focus Examines the monotonicity, extremum, the most significant value in the closed interval, the exploration of the range of the parametric expression, highlighting the notion of “proposition at the intersection of knowledge networks”. Here’s an example, I hope to help students