设公比为q
a1,0.5a3,2a2成等差数列
则q^2=1+2q
q^2-2q-1=0
q=1±√2
(a9+a10)÷(a7+a8)=(a1q^8+a1q^9)/(a1q^6+a1q^7)=q^2=3±2√2