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六年制重点中学高中数学课本《代数》第一册82页有这样一题:方程3~(2x~2)=3~(5x+7)与方程2x~2=5x+7的解集是否相同?为什么?言下之意是在告诉学生若两个方程解集相同,则此两个方程就是同解方程了.(符合现行初中教材中对同解方程所下的定义:如两个方程相同,那么这两个方程叫做同解方程.初中代数第一册.)
There is such a question in the first volume of the mathematics textbook “Algebra” of the six-year key middle school high school mathbook as the first book: Is the solution set of Equation 3~(2x~2)=3~(5x+7) and Equation 2x~2=5x+7? The same? Why? The implication is to tell students that if the two equation sets are the same, then the two equations are the same solution equations. (Consistent with the definition of the equation for the same solution in current junior high school textbooks: as two equations The same, then these two equations are called the solution equations. The junior middle school algebra is the first book.)