数学思想是数学的灵魂,是联系知识与能力的纽带.正确运用数学思想方法是学好数学的关键,只有掌握了数学思想,才会体会数学的奥妙.下面举例说明数学思想方法在解一元一次方程中的妙用.供同学们学习时参考.一、整体思想1.整体去分母例1解方程1/2(x+1)+1/3(x+2)=3-1/4(x+3).分析:本题的结构比较特殊,仔细探究可发现,移项后方程左边未知数x的系数为(1/2+1/3+1/4),方程右边常数项为3-(1/2+2/3+3/4)=(1/2+1/3+1/4).故可采用整体法系数化1. Mathematical thinking is the soul of mathematics, is a link between knowledge and ability.Mathematical thinking is the right way to learn mathematics, and only mastered the mathematical thought, will understand the mystery of mathematics.The following illustrates an example of mathematical method in solving a linear equation In the magical. For students to learn reference. First, the overall idea 1. The overall denominator example 1 solution equation 1/2 (x + 1) +1/3 (x +2) = 3-1 / 4 (x + 3). Analysis: The structure of the problem is rather special. If we look carefully, we can find that the coefficient of the unknown x on the left of the equation is (1/2 + 1/3 + 1/4) 2 + 2/3 + 3/4) = (1/2 + 1/3 + 1/4)