Cho đường tròn (O),A,B là hai điểm trên (O),I là trung điểm của một cung AB. Hai dây IC,ID của (O) cắt AB lần lượt tại MN. Chứng minh:
a) IA tiếp xúc với đường tròn (AMC),IB tiếp xúc với đường tròn (BND).
b) Chứng minh tứ giác CMND nội tiếp đường tròn.
Cần giải chi tiết.
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