Cho đường tròn (O; R). Đường thẳng d không đi qua O và cắt đường tròn tại hai điểm A, B. Từ một điểm C trên d( A nằm giữa B và C ) vẽ tiếp tuyến CN với đường tròn( N là tiếp điểm, N thuộc cung AB lớn). Gọi E là trung điểm của đoạn AB. a/ Chứng minh bốn điểm C, E, O, N cùng nằm trên một đường tròn b/ Chứng minh rằng: 〖CN〗^2=CA .CB c/ Gọi H là hình chiếu của điểm N trên OC. Chứng minh (OAB) ̂=(CHA) ̂ d/ Tia CO cắt đường tròn ( O ) tại hai điểm I và D( I nằm giữa C và D). Chứng minh IC . DH = DC . IH

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