已知函数fx＝Αsin(ωx＋φ)(Α＞0,ω＞0,｜φ｜＜π／2)的图像与y轴交于点(0,
1个回答

(1)

A=2

f(x)=2sin(ωx+φ)

图象过(0,√3)

sinφ=√3/2

φ=π/3

f(x)=2sin(ωx+π/3)

图象过(π/12,2)

sin(πω/12+π/3)=1

πω/12+π/3=π/2

ω=2

f(x)=2sin(2x+π/3)

(2)

g(x)=2sin[2(x+π/4)+π/3]=2sin[(π/2)+(2x+π/3)]=2cos(2x+π/3)

对称轴：

2x+π/3=kπ

x= - π/6+(kπ/2)

设对称中心为P(x,0)

2x+π/3=(π/2)+kπ

x=π/12+(kπ/2)

所以对称中心为：

( π/12+(kπ/2) ,0 )

相关问题