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引例对于x∈R,求函数f(x)=sinx+cosx+sinxcosx的最大值.此题的常规方法是:注意到f(x)=sinx+cosx+sinxcosx=sinx+cosx+1/2[(sinx+cosx)~2-1],令t=sinx+cosx,则t∈
Example For x∈R, find the maximum value of the function f (x) = sinx + cosx + sinxcosx. The general way to do this is to note that f (x) = sinx + cosx + sinxcosx = sinx + cosx + (sinx + cosx) ~ 2-1], let t = sinx + cosx, then t∈