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巧用函数与方程的思维联系解题
引用本文:徐杰.巧用函数与方程的思维联系解题[J].贵阳金筑大学学报,2008(4).
作者姓名:徐杰
作者单位:遵义市第八中学
摘    要:函数思想,是指用函数的概念和性质去分析问题、转化问题和解决问题。方程思想,是从问题的数量关系入手,运用数学语言将问题中的条件转化为数学模型(方程、不等式、或方程与不等式的混合组),然后通过解方程(组)或不等式(组)来使问题获解。有时,还实现函数与方程的互相转化、接轨,达到解决问题的目的。

关 键 词:函数思想  方程思想  笛卡尔的方程思想  数学特征  数学模型  构造函数关系

Problem Solving by the Thinking Link of Function and Equation
XU Jie.Problem Solving by the Thinking Link of Function and Equation[J].Journal of Jinzhu University of Guiyang,2008(4).
Authors:XU Jie
Institution:XU Jie(No.8 Middle School; Zuiyi Guizhou 563002; China);
Abstract:The function idea states that the concept and quality are employed to analyze,transform and solve the problem.The equation idea states that beginning with the the quantitative relationship of the problem,math language be used to transform the conditions of the problem into the math model(equation,inequality or the mixed group of equation and inequality),and then solve the problem through equation(group) or inequality(group).Sometimes the function and equation transform and join mutually,arriving at the purpose of solving the problem.
Keywords:function idea  equation idea  joint  arriving at the purpose of solving the problem
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