首先,你的题目可能错了,中间应有一个系数是2.最后一项的系数也应有个2;
(1)f (x)=√3cos2ωx+2sinωxcosωx+2a=2sin(2ωx+π/3)+2a
f (x)的图象在y轴右侧的第一个最高点的横坐标为π/6,得2ωxπ/6+π/3=π/2得ω=1/2
(2)f (x)=2sin(2ωx+π/3)+2a得f (x)=2sin(x+π/3)+2a
在区间[-π/3,5π/6]得x+π/3在区间[0,7π/6]得f (x)的最小值=2sin(7π/6)+2a=√3得 a=√3+1)/2