设向量b=（cosθ,sinθ);由a·b=√3得√3*cosθ+sinθ=√3则(√3/2)*cosθ+(1/2)sinθ=√3/2即sin(π/3)*cosθ+cos(π/3)*sinθ=sin(π/3)即sin(θ+π/3)=sin(π/3)]即θ+π/3=2kπ+π/2±π/6;即:θ=2kπ 或 θ=2k...