∫△ABC and△△△ def are equilateral triangles, and O is the midpoint of BC and EF.
∴AO⊥BC,DO⊥EF,∠EDO=30, ∠ package =30,
∴OD:OE=OA:OB= √3: 1,
∠∠ Doe +∠EOA =∠ Boya +∠EOA means ∠ Doe =∠EOB,
∴△DOA∽△EOB,
∴OD:OE=OA:OB=AD:BE=√3: 1.
So the value of ad: be is √ 3: 1.