已知函数f(x)=根号3sin(ax+b)-cos(ax+b)(0

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已知函数f(x)=根号3sin(ax+b)-cos(ax+b)(0

已知函数f(x)=根号3sin(ax+b)-cos(ax+b)(0
已知函数f(x)=根号3sin(ax+b)-cos(ax+b)(0

已知函数f(x)=根号3sin(ax+b)-cos(ax+b)(0
1、
f(x)=2[sin(ax+b)cosπ/6-cos(ax+b)sinπ/6]
=2sin(ax+b-π/6)
两相邻对称轴间距离是T/2=π/2
T=π
所以T=2π/a=π
a=2
过(0,1)
1=2sin(b-π/6)
sin(b-π/6)=1/2=sinπ/6
b-π/6=π/6
b=π/3
f(x)=2sin(2x+π/3)
2、
右移
=2sin[2(x-π/6)+π/3]
=2sin2x
横坐标伸长到原来的4倍
则x系数2÷4=1/2
g(x)=2sin(x/2)
递增
2kπ-π/2