x =(√5+1)/2
设y=(√5-1)/2
则 xy=1
y=1/x
(x³+x²+1)/x²
=y^2*(x³+x²+1)/(x²*y^2)
=x+1+y^2
=(√5+1)/2+1+(6-2√5）/4
=1/2+1+3/2
=3