S⊿AOC=S⊿AGO/3=S(AOHG)/6

S⊿BOC=S⊿BOG/3=S(AOHG)/ 12

S⊿AOB=S(AOHG)/4

∴s⊿abc=( 1/6+ 1/ 12+ 1/4)s(aohg)=s(aohg)/2

∴s⊿aec=s⊿abc/2=s(aohg)/4=6s⊿aoc/4=(3/2)s⊿aoc.

Select C:3/2.

[essentials: ① drawing. ② Find the "transition zone", which is S(AOHG) and S⊿ABC]