As shown in the figure, points a, B, D and E are on ⊙ o, and the extension lines of strings AE and BD intersect at point C. If AB is the diameter of ⊙ o, D is the midpoint of BC. Try to judge the size relationship between AB and AC, and give the proof

AB = AC. proof 1: connecting ad. ∵ AB is the diameter of ⊙ o, ∵ ad ⊥ BC. ∵ ad is the common edge, BD = DC, ≌ RT △ abd ≌ RT △ ACD (SAS) ≌ AB = AC. proof 2: connecting ad. ∵ AB is the diameter of ⊙ o, ≁ ad ⊥ BC. BD = DC, ≌ ad is the vertical line of line BD. ≌ AB = AC

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