如图,AE是圆O的直径,AD是△ABC的高,求证: - 知识问答

如图,AE是圆O的直径,AD是△ABC的高,求证:∠BAD=∠EAC

3个回答

连结EC
∴∠BAE = ∠BCE
∵AE是直径
∴∠ACE = 90°
∴∠ACB + ∠BCE = 90°
∵AD⊥BC
∴∠DAC+ ∠ACB = 90°
∴∠BCE = ∠DAC
∴∠BAE = ∠DAC
∴∠BAE + ∠EAD = ∠DAC+∠EAD
∴∠BAD = ∠CAE

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