(1)由图知:T=
?(?11π 12
)=π,于是ω=π 12
=22π T
有:f1(x)=Asin(2x+φ),当x=0时,y=1,当x=
时,y=0,5π 12
∴Asin(φ)=1,Asin(2×
+φ)=0,5π 12
解得:A=2,?=
,π 6
∴f1(x)的解析式f1(x)=2sin(2x+
).π 6
(2)将函数f1(x)的图象向右平移
个单位得到函数f2(x)的图象,π 4
得:f2(x)=2sin[2(x?
)+π 4
]=?2cos(2x+π 6
)π 6
∴y=2sin(2x+
)?2cos(2x+π 6
)=2π 6
sin(2x?
2
)π 12
当 2x?
=2kπ+π 12
,即x=kπ+π 2
,k∈Z时,ymnx=27π 24
2
此时x的取值集合为 {x|x=kπ+
,k∈Z}(13分)7π 24