答:
f(x)=2sinx(√3cosx-sinx)+1
f(x)=2√3sinxcosx+1-2sin²x
f(x)=√3sin(2x)+cos(2x)
f(x)=2sin(2x+π/6)
f(x)=2sin[2(x+π/6)]
周期T=π,f(x-f)是f(x)向右平移f个单位
则最小的f=π/3
所以:f=kπ+π/3,k∈Z
答:
f(x)=2sinx(√3cosx-sinx)+1
f(x)=2√3sinxcosx+1-2sin²x
f(x)=√3sin(2x)+cos(2x)
f(x)=2sin(2x+π/6)
f(x)=2sin[2(x+π/6)]
周期T=π,f(x-f)是f(x)向右平移f个单位
则最小的f=π/3
所以:f=kπ+π/3,k∈Z