wolaiye2010
幼苗
共回答了22个问题采纳率:95.5% 举报
1.
f(x)=2cosx*sin(x+π/3)-√3﹙sinx﹚^2+sinx*cosx
=2cosx*﹙sinxcosπ/3+cosxsinπ/3﹚-√3﹙sinx﹚^2+sinx*cosx
=cosxsinx+√3﹙cosx﹚^2-√3﹙sinx﹚^2+sinx*cosx
=sin2x+√3cos2x
=2sin﹙2x+π/3﹚
∴函数f(x)的最小正周期T=2π/ω=π
2.
令2X+π/3=2Kπ-π/2 (K∈Z)
得X=Kπ-5π/12 时f(x)的最小值为-2
附:平方用搜狗输入法打pingfang ,选5即可
1年前
8