1）由已知 a+|b|=3/2 ,a-|b|=-1/2 ,解得 a=1/2 ,b=1 或 -1 .2）g(x)=-2sin(±x-π/3) ,因此最小值为 -2 .若 g(x)=-2sin(x-π/3) ,则当 x-π/3=π/2+2kπ 即 x=5π/6+2kπ 时,取最小；若 g(x)=-2sin(-x-π/3) ,则当 -...