数形结合在解题中的应用  

NUMBER SHAPE UNION USAGE IN SOLVING PROBLEMS

作　　者：朱智和[1] 

机构地区：[1]绍兴文理学院招生与就业指导处,浙江绍兴312000

出　　处：《绍兴文理学院学报（教育教学版）》2006年第2期150-154,共5页Journal of Shaoxing College of Arts and Sciences

摘　　要：本文就数形结合思想在解题中的应用问题，从由形化数和由数化形两个方面进行研究。在由形化数一块内容中主要用解析法、判别式法、复数法、面积（体积）法、代数三角法五方面通过代数方法解决某些几何问题；在由数化形一块内容中主要论述运用构造法和函数图像法解决一些代数问题。This article, mainly form the two aspects of changing into the algebra form the geometry and changing into the geometry form the algebra,makes research,at the base of the number shape union usage in solving problems. In the first content, it can solve the geometry problems with the algebra--Aralysis, Discfiminant, Symbolic, Area（Volumetric）, Trigonometry method ; In the second content, it can solve the algebra problems with the geometry--Structure, Function image method.

关 键 词：数形结合 直角坐标系 构造法 解题方法 中学 数学 

分 类 号：G633.6[文化科学—教育学]