三次函数的几何性质

On the Geometric Properties of Cubic Function

新高中数学课程标准设置导数以后,中学数学报刊论述三次函数代数性质的文章多不胜数,而论述三次函数几何性质的却寥寥无几。为此,文章从几何角度对三次函数进行研究,得到三次函数极值点的一组几何性质,它对解答或编拟三次函数的创新题目具有广泛的应用。

After derivative is introduced in the new curriculum standards for the high school math,a lot of papers arouse which discuss algebraic properties of cubic function,but there are few that discuss the geometric properties of cubic function.Therefore,the paper,from a geometric point of view,studies the cubic function,and obtains a set of extreme points of geometric properties that has wide application for innovating cubic functions test paper.