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Cho đường tròn ( O ; OA ) . Trên bán kính OA lấy điểm I sao cho OI =1/3 OA. Vẽ dây BC vuông góc với OA tại điểm I và vẽ đường kính BD . Gọi E là giao điểm của AD và BC . a ) Chứng minh DA là tia phân giác của BDC . b ) Chứng minh OE vuông góc với AD . c ) Lấy điểm M trên đoạn IB ( M khác I và B ) . Tia AM cắt đường tròn ( O ) tại điểm N. Tứ giác MNDE có phải là một tứ giác nội tiếp hay không ? Vì sao ?
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