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为了帮助小学数学教师更好地理解和掌握教材,教好数学第八册《简易方程》这一单元,本文打算着重谈谈下面三个问题。一,代数解法的实质在于“以假当真,弄假成真”。在代数解法中,未知数x虽然是人为假设出来的,是“假”的数,但是一经设出之后,我们就可以把它当作“真”的数来使用。这就叫做“以假当真”。这里,“当作‘真’的数来使用”,含有两层意思:一是在列方程时,把所假设的未知数x同已知数一样,作为一个实实在在的量,根据数量关系来统一考虑,统一使用,二是在解方程时,所假设的未知数x同已知数一样,完全适用于四则运算算式中各部分之间的
In order to help primary school mathematics teachers to better understand and master the teaching materials, and to teach the eighth volume of mathematics “Simple Equation”, this article intends to focus on the following three questions. First, the essence of algebraic solution lies in “False conscientious, get a fake come true.” In the algebraic solution, the unknowns x are artificial hypotheses, but they are “false” numbers, but once set, we can treat them as “true” ones. This is called “taking falsehood seriously.” Here, "used as the number of 'true' contains two meanings: first, in the column equation, the assumed unknowns x are the same as the known numbers as a real quantity, and according to the quantitative relationship To unify considerations, unified use, and second, in the solution of equations, the assumed unknowns x with the same known number, fully applicable to the four arithmetic formula among the various parts