直线AB:y=√3/3x+p/2代入x²=2py
得3x²-2√3px-3p²=0
设A(x1,y1),B(x2,y2)
∴x1+x2=2√3p/3 ,x1x2=-p²
(x1/x2)+(x2/x1)+10/3=0
则AF/BF=-x1/x2=t
t²-10/3t+1=0
t=3或t=1/3
∴AF/BF=1/3
直线AB:y=√3/3x+p/2代入x²=2py
得3x²-2√3px-3p²=0
设A(x1,y1),B(x2,y2)
∴x1+x2=2√3p/3 ,x1x2=-p²
(x1/x2)+(x2/x1)+10/3=0
则AF/BF=-x1/x2=t
t²-10/3t+1=0
t=3或t=1/3
∴AF/BF=1/3