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代数 初中代数知识包括数、式、方程(不等式)和函数,数、式是构成方程和函数的基础。 代数综合题大部分是围绕着方程和函数展开的。解代数综合题,一要系统地掌握代数基础知识,要特别注意理解方程、不等式及函数之间的区别和联系;二要会运用数学思想和方法。数学思想主要有:数形结合的思想,分类讨论的思想,布列方程的思想,恒等变换的思想,函数思想等。数学方法主要有:换元法,配方法,待定系数法,消元降次法等。这些数学思想和方法,对解决代数综合题起着重要作用,同时,对于提高我们的数学素质也有重大意义。
Algebra Algebra algebra knowledge includes numbers, equations, equations (inequalities) and functions, numbers, and equations that form the basis of equations and functions. The majority of algebraic synthesis questions are developed around equations and functions. To solve the algebraic synthesis problem, one must systematically master the basic knowledge of algebra, pay special attention to understand the differences and relations between equations, inequalities and functions; Second, we will use mathematical ideas and methods. Mathematical thinking mainly includes: the idea of combination of numbers and shapes, the idea of classification and discussion, the idea of the equations of the array, the idea of constant transformation, the idea of functions, and so on. The mathematics methods include: substitution method, matching method, undetermined coefficient method, elimination method, etc. These mathematical ideas and methods play an important role in solving algebraic synthesis problems. At the same time, they also have great significance for improving our mathematics quality.