函数的极(最)值与参数讨论

Discussion about the extremum (ultimate) and parameter of function

函数的极值和最值广泛应用于数学、经济学、管理学、计算机应用、自动化技术、建筑科学等诸多领域,有关函数极值和最值的问题被人们广泛关注,有很多学者探究极值和最值的求解方法。通过举例说明利用参数求函数的极值和最值,介绍零点与极值的等价性,不等式与最值的等价性,绝对不等式与最值的等价性,多元函数及实际问题的最值,两个函数图象的"边界"问题与最值的关系。

The extremum and ultimate of function are widely involved such fields as maths, economics, management, computer application, automation techniques and building science. People pay close attention to problems about the extremum and ultimate of function. Many scholars explore the solution to extremum and ultimate. This article illustrates and presents the following points： the equivalence of zero and extremum, the equivalence of inequation and ultimate, the equivalence of absolute inequation and ultimate, the ultimate of multifunction and practical problems as well as the relation between the ＂boundary＂ problems of two function images and ultimate.