It is known that: as shown in the figure, in the equilateral triangle ABC, points D and E are on AB and AC respectively, and DB = AE, CD intersects be at points o, DF ⊥ be, and point F is perpendicular, 1) prove: ∠ Abe = ∠ BCD:2 ）Verification: od = 2of

It is known that: as shown in the figure, in the equilateral triangle ABC, points D and E are on AB and AC respectively, and DB = AE, CD intersects be at points o, DF ⊥ be, and point F is perpendicular, 1) prove: ∠ Abe = ∠ BCD:2 ）Verification: od = 2of

1) Prove: in equilateral △ ABC, ab = BC ∠ a = DBC = 60 ° and ∵ AE = BD ∵ Abe ≡ BCD, so ∵ Abe = bcd2) prove: in equilateral △ ABC, a = BCE = 60 ° AC = BC, and ∵ BD = AE ∵ ac-ae = ab-bd, that is, ad = CE and ∵ a = BCE = 60 ° AC = BC ≌ ADC ≌ EBC, ≌

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