【解】函数f(x) 和φ(x) 的最小正周期之和是3π/2,则2π/k+π/k=3π/2,k=2.由f(π/2)=φ(π/2)可得,asin(π+π/3) =btan(π-π/3),-√3a/2=-√3b,a/2= b.由f(π/4)=-√3φ(π/4)+1可得,asin(π/2+π/3) =-√3btan(π...