求答案和解析(2问图也要)
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求答案和解析(2问图也要)
求答案和解析(2问图也要)
求答案和解析(2问图也要)
f(x)=sinx+√3cosx
=2(1/2*sinx+√3/2*cosx)
=2(sinxcosπ/3+cosxsinπ/3)
2sin(x+π/3)
(1)
周期是k*2π=2kπ,k∈Z,此问是周期不是最小正周期
振幅=2
(2)
令x+π/3=0,π/2,π,3π/2,2π
x=-π/3,π/6,2π/3,7π/6,5π/3
画出点(-π/3,0),(π/6,2),(2π/3,0),(7π/6,-2),(5π/3,0)
如图
(3)
∵sinX的减区间是【π/2+2kπ,3π/2+2kπ】,k∈Z
∴令π/2+2kπ<=x+π/3<=3π/2+2kπ,k∈Z
π/6+2kπ<=x<=7π/6+2kπ,k∈Z
f(x)减区间是[π/6+2kπ,7π/6+2kπ],k∈Z
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