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theminh2k5
2 năm trước
cho tam giác abc có ab<ac<bc, nội tiếp (o) và đường ao ah. m là trung điểm ac. p thay đổi trên đoạn mh. Gọi q là giao điểm của đường tròn ngoại tiếp (amp) và (bhp) a, chứng minh bqp=acb b, chứng minh các đường tròn (o), (amp) và (bhp) đồng quy c, chứng minh pq luôn đi qua một điểm cố định
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