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在解一元一次方程时,有些同学由于对概念理解不清,对法则理解不透,对方法应用不熟,常常出现这样或那样的错误.一、方程出现连等例1解方程:x-1=(x+1)/2.错解:x—1=(x+1)/2=2x-2=x+1=2x-x=1+2=x=3.剖析:检验可知,x=3是原方程的解,所以方程的解是正确的,那么错在哪里呢?错在混淆了代数式的变形与方程变形的区别,由于受代数式恒等变形等号连写的影响,出现了方程连等到底的错误.如果分解来看,这个连等式中有许多方程,如x-1=3,x+1=3,2x-2=
When solving a one-time equation, some students often fail to do so because of their unclear concepts, incomprehensible understanding of the law, and unfamiliar applications of the method. = (x + 1) / 2. Misinterpretation: x-1 = (x + 1) / 2 = 2x-2 = x + 1 = 2x-x = 1 + 2 = x = = 3 is the solution of the original equation, so the solution of the equation is correct, then what is wrong? Error in the algebraic distortion and the difference between the equation deformation, due to algebraic equal deformation equal sign continuous impact, the equation Even if the error in the end, etc. If the decomposition point of view, there are many equations in this even equation, such as x-1 = 3, x +1 = 3,2x-2 =