已知a> 0,函数f(x)=-2asin(2x+ π/6)+2a+b,当x∈[0,π/2]时,-5≤ f(x)≤ 1.求f(x)的单调区间?

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已知a>0,函数f(x)=-2asin(2x+π/6)+2a+b,当x∈[0,π/2]时,-5≤f(x)≤1.求f(x)的单调区间?已知a>0,函数f(x)=-2asin(2x+π/6)+2a+b,当

已知a> 0,函数f(x)=-2asin(2x+ π/6)+2a+b,当x∈[0,π/2]时,-5≤ f(x)≤ 1.求f(x)的单调区间?
已知a> 0,函数f(x)=-2asin(2x+ π/6)+2a+b,当x∈[0,π/2]时,-5≤ f(x)≤ 1.求f(x)的单调区间?

已知a> 0,函数f(x)=-2asin(2x+ π/6)+2a+b,当x∈[0,π/2]时,-5≤ f(x)≤ 1.求f(x)的单调区间?
sin(2x+ π/6)的单调区间是在x∈[0, π/6]为增,在x∈[π/6, π/2]为减,
因为系数-2a小于零,所以f(x)在x∈[0, π/6]为减,在x∈[π/6, π/2]为增