Cho tam giác ABC vuông tại A, ∠ABC = 60◦, AB = a. a) Xác định tâm O và tính bán kính đường tròn ngoại tiếp tam giác ABC. b) Vẽ đường cao AH. Đường tròn đường kính BH cắt AB tại D và đường tròn đường kính CH cắt AC tại E. Tứ giác ADHE là hình gì? Tính DE. c) Chứng minh rằng AO⊥DE.

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