Cho tam giác ABC vuông tại A. Đường phân giác góc C cắt AB tại E. Kẻ AH vuông góc với BC và AK vuông góc với CE, gọi I là giao điểm của AH và CE. Chứng minh: ​a) Bốn điểm A, K, H, C cùng thuộc một đường tròn. Xác định tâm O của đường tròn đó; ​b) OK vuông góc AH;​ c) Tam giác AEI cân

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