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2 năm trước
Cho tam giác ABC có 3 góc nhọn nội tiếp đường tròn tâm O, kẻ đường phân giác AD của tam giác ABC, AD cắt đường tròn (O) tại M (M khác A). Kẻ MI BC ⊥ ,( ) I BC  ; ME AB ⊥ , ( ) E AB  . Qua D kẻ đường thẳng vuông góc với BC, cắt AI tại G. Qua D kẻ đường thẳng vuông góc với AB tại H a) Chứng Minh 4 điểm B, E, M, I cùng thuộc 1 đường tròn. b) Chứng minh AH AG AE AI = c) Kẻ MF AC ⊥ ,( ) F AC  , chứng minh 3 điểm E, I, F thẳng hàng.
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