∵1/x+1/y+1/z=2,∴1/x^2+1/y^2+1/z^2+2(1/xy+1/xz+1/yz)=4。又∵1/x^2+1/y^2+1/z^2=1,∴1+2(1/xy+1/xz+1/yz)=4,得:1/xy+1/xz+1/yz=3/2。