(1)f(x)=根号3sinxcosx+1/2cos2x =根号3/2sin2x+1/2cos2x =cosπ/6sin2x+sinπ/6cos2x =sin(2x+π/6)T=2π/2=π函数的单调减区间π/2+2kπ小于或等于2x+π/6小于或等于3π/2+2kππ/6+kπ小于或等于x小于或等于2π/3+kπ