|m|=1,则:
f(x)=m*n+|m|
=cos²wx+2√3sinwxcoswx-sin²wx+1
=√3sin2wx+cos2wx+1
=2sin(2wx+π/6)+1
1、由于|x1-x2|的最小值是π/2,即函数f(x)的周期是π,则:w=1;
2、f(x)=2sin(2x+π/6)+1,则:
f(A)=2sin(2A+π/6)+1=2
sin(2A+π/6)=1/2
A=0°【舍去】或A=60°
S=(1/2)bcsinA=√3/2,得:b=1
a²=b²+c²-2bccosA=b²+c²-bc=3,a=√3