Cho đường tròn tâm O, đường kính AB. Trên tiếp tuyến của đường tròn (O) tại A lấy điểm C (C khác A). Từ C vẽ tiếp tuyến thứ hai CD với đường tròn (O) (D là tiếp điểm). Kẻ DK vuông góc với AB (K thuộc AB), CB cắt đường tròn (O) tại điểm thứ hai là M và cắt DK tại N. Chứng minh rằng: a) Tứ giác AMNK nội tiếp đường tròn. b) AC^2 = CM.CB. c) MAD = OCB. d) N là trung điểm của DK. Cần lắm câu d) ạ mấy câu kia khỏi cũng được ;(((

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