在学习“整式的加减”时,不少同学会出现这样那样的错误.现将这些错误列举如下并作简要的剖析,以供参考. 一、分辨单项式时的错误例1指出代数式x/3、-y、3/x、2x+y中的单项式. 错解:单项式是x/3、-y、3/x. 剖析:判断代数式是不是单项式,关键要看式子中的数与字母或字母与字母间是不是乘积关系,若式中含有加、减、除的关系,则它就不是单项式.这里x/3和3/x,前者看作是1/3·x,故它是 When studying “additional additions and deletions”, many students will experience such mistakes. These errors are listed below and briefly analyzed for reference. I. Errors in distinguishing single items Example 1 Pointing to algebraic expressions x/3 , -y, 3/x, 2x+y in the monomial. The wrong solution: the monomial is x/3, -y, 3/x. Analysis: determine whether the algebraic formula is a monomial, the key to look at the number and letter in the formula The relationship between letters and letters is not a product relationship. If the formula contains a relation of addition, subtraction, and division, it is not a monomial. Here x/3 and 3/x, the former is regarded as 1/3.x, so it is