Triangle ABC and triangle DEB are equilateral triangles, e, B, C, on a straight line, CD, AE intersect o, connect Bo, 1) Verification of Bo bisector angle EOC 2) Explore the relationship between Ao, Co, Bo and prove it Sorry, there's no picture. The triangle BDE is small and ABC is large Triangle EBD on the left, ABC on the right

Triangle ABC and triangle DEB are equilateral triangles, e, B, C, on a straight line, CD, AE intersect o, connect Bo, 1) Verification of Bo bisector angle EOC 2) Explore the relationship between Ao, Co, Bo and prove it Sorry, there's no picture. The triangle BDE is small and ABC is large Triangle EBD on the left, ABC on the right

If the triangle is on the same side of EBC, B is between EC
1) Using the known conditions, it can be proved that △ EBA ≌ △ DBC
The distance from point B to EA = the distance from point B to DC
The angle bisector of ∠ EOC is B
2）AO+BO=OC
Extend OA to f to make AF = ob
∵∠ABC+∠OCB=∠AOC+∠OAB ∠ABC=60°
∴∠AOC=60°
∵ ob bisection ∠ EOC
∴∠EOB=∠BOC=60°
And ∵ ∠ fac = ∠ AOC + ∠ ACO = 60 + ∠ ACO
∠OBC=∠ABC+∠OBA=60+∠OBA
∠ACO+BAC=∠ABO+∠BOC
∴∠ACO+60=∠ABO+60
∴∠ACO=∠ABO
∴∠FAC=∠OBC
△OBC≌△FAC
∴OC=FC=OF
OF=OA+AF
OC=OA+OB