(1)w=2π/T=2π/π=2 A>0 最低点为M(2π/3,-2) sin(2*2π/3+Ψ)=-1 A=2 0<Ψ<π/2) 2*2π/3+Ψ=3π/2 Ψ=π/6 f(x)=2sin(2x+π/6 )
(2)x∈[0,π/12] 2x+π/6 ∈[π/6,ππ/3] 最小是为f(0)=sin(π/6)=1/2 最大值为f(π/12)=sin(π/3)=根号3/2
(1)w=2π/T=2π/π=2 A>0 最低点为M(2π/3,-2) sin(2*2π/3+Ψ)=-1 A=2 0<Ψ<π/2) 2*2π/3+Ψ=3π/2 Ψ=π/6 f(x)=2sin(2x+π/6 )
(2)x∈[0,π/12] 2x+π/6 ∈[π/6,ππ/3] 最小是为f(0)=sin(π/6)=1/2 最大值为f(π/12)=sin(π/3)=根号3/2