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2011版《数学课程标准》解读中指出:在通过实际情境引入方程、一元一次方程、方程的解等系列概念的基础上,通过观察与归纳导入等式的两条基本性质,既可以直接利用等式的基本性质讨论一些简单的一元一次方程的解法,又可进一步讨论较复杂的一元一次方程的解法,这一过程充分体现出推理是研究数学的基本思想和方法。二元一次方程组强调“消元”的思想和方法。通过消元将二元一次方程组转化为一元一次方程,实现求解的目的,体现了化繁为简,以简驭繁的基本策略,对促进理性思维的发展具有重要的意义。
In the interpretation of the 2011 edition of “Mathematical Curriculum Standards”, it is pointed out that based on the introduction of series of concepts such as equations, unary equations and equation solutions through the actual situation, we can observe and conclude two basic properties of the import equation directly The basic nature of the equation discusses the solution of some simple one-degree-one-order equations and further discusses the solution of the more complex one-degree-one-degree equations. This process fully demonstrates that reasoning is the basic idea and method for studying mathematics. The Binary Equations Emphasize the Idea and Method of Eliminating Yuan. Through the elimination of binary linear equations into a linear equation, to achieve the purpose of solving, embodies the complexity of the simplified, simple and easy to simplify the basic strategy, to promote the development of rational thinking is of great significance.