浅谈代数问题中的数形结合

Discussion on Number Shape Combination in Algebra Problems

对数与形的结合在代数解题中的广泛应用作了一些归纳和扩充,主要概括了它在求函数值域与极值(最值)、解不等式(不等式组)、解方程(方程组)三个方面的应用.通过一些典型例题,提出了相应的方法与常用的技巧,因此,数与形不再是分离的主体,而是紧密地结合在一起,并渐渐形成了许多新型数学分支.

In this article, number shape combination in algebra was induced and expended in solving problems. Three respect of summarizing were asking function value region to untie equation with extreme value, solving inequality （inequality group most） and setting equations. Corresponding methods and artifice in common uses were proposed through a few examples. Therefore, number and shape is not an isolated body, but a close combination. Many mathematic branch of new types are formed as a consequence. 8tabs. ,4refs.