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ntchien.c3locthanh
2 năm trước
Cho đường tròn tâm O. Điểm A cố định ở ngoài (O). Qua A kẻ một cát tuyến d cắt đường tròn (O)tại hai điểm B và C ( B nằm giữa A và C). Tiếp tuyến AM, AN tiếp xúc với (O) tại M,N. Gọi I là trung điểm của BC. Đường thẳng qua B và song song với MA cắt MN tại E. a) Chứng minh AM = AB.AC b) Chứng minh tứ giác OMAN và IMAN nội tiếp c) Chứng minh IE //MC d) Khi d quay quanh A thì trọng tâm G của AMBC chạy trên đường nào
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