f(-x)=f(2-(x+2))因为f(x+2)=f(2-x)所以f(-x)=f(2-(x+2))=f((x+2)+2)=f(x+4)所以f(-x)=f(x+4)=f((x+3)+1)=-f(x+3)=f(x+2)=-f(x+1)=f(x)即f(-x)=f(x)所以f(x)为偶函数因为f(x+2)=f(x+1+1)=-f(x+1)=-(-f(x))=f(x)即f(x...