1.定义新运算解决这类问题一定要充分分析、理解新的运算规则,并严格按照新定义的运算规则运算,例1 设 S 是至少含有两个元素的集合,在 S 上定义了一个二元运算“*”(即对任意的 a,b∈S,对于有序元素对(a,b),在 S 中有唯一确定的元素a*b 与之对应),若对任意的 a,b∈S,有a*(b*a)=b,则对任意的 a,b∈S,下列等式中不恒成立的是( ) 1. Defining new operations To solve such problems, we must fully analyze and understand the new operation rules and operate in strict accordance with the newly defined operation rules. Example 1 Let S be a set of at least two elements and define a second one on S. The meta operation “*” (that is, for any a, b ∈ S, for an ordered pair of elements (a,b), there is a unique element a*b in S), for any a ,b∈S, with a*(b*a)=b, then for any a, b∈S, the following equation is not constant is ()