f(x)＝2sin2x＋2√3 cos2x＋1＝4(1/2sin2x＋√3/2cos2x)＋1＝4sin(2x＋π/3)＋1(1)f(π/3)＝4sin(2π/3＋π/3)＋1＝1(2)当2x＋π/3＝2kπ＋π/2即x＝kπ＋π/12时,f(x)取得最大值5当2x＋π/3＝2kπ－π/2即x＝kπ－5...