f(x)=2sin(wx-π/3),w>0,w>0,x∈(-∞,+∞)(1)f(0)=2sin(-π/3）=-√3(2)T=2π/|w|=π,w>0∴w=2,f(x)=2sin(2x-π/3)(3)f（α/2 - π/12）=2sin(2×（α/2 - π/12）-π/3)=2sin(α-π/2)=-2cosα=8/5;cosα=-4/5,sinα=±3/5(3)当x∈[0，π/2]时,2x-π/3∈[-π/3,2π/3],f(x)=2sin(2x-π/3),2x-π/3=-π/3时，f(x)最小=-√3;2x-π/3=π/2时，f(x)最大=2（4）2kπ-π/2≤2x-π/3≤2kπ+π/2,2kπ-π/6≤2x...
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