一个极值问题推广

The Generalizatio of An Extremal

最值问题在中学阶段和大学阶段的数学学习中,都遍及在代数、三角、解析几何等各科中。同时其在生产实践中也有广泛的应用。本文正是认识到这一点,故首先从一个初中联赛题出发,进行了几何和代数上的一般性推广,给读者一个较为感性的关于极值问题在各种知识之间的融会贯通的认识.然后再从一些高中的联赛题开始,先介绍它的某些特殊解法,通过分析解题的成功经验而逐步学会解题,学会自己应用所掌握的知识,并揣摩别人想法的由来,继而对别人的解法提出自己的新见解,新认识和新推广,从而达到自己在学习上从未有过的新高度.

Extremal question spreads in the algebra, the triangle, the analytic geometry and so on in middle school and in university.At the same time it also has the widespread application in the production practice.As to this point, this article deals with a general promotion of the geometry and the algebra firstly from a competitive question of a secondary school,giving readers more sensitive recognition which concerns extremal question in application proficiency.Then starting from competitive questions of senior school,first introduce some of its special solution,gradually learn to solve the problem by analyzing problems successfully,master the knowledge that we applied,and think over the reason from other＇s idea,and come up with my new idea upon others＇solutions,which reach a high altitude on study.