Trong hệ tọa độ Oxy , cho tam giác ABC có A (1 ;-1 ),N (5;-3) và C thuộc trục Oy, trọng tâm G của tam giác thuộc trục Ox. Tìm tọa độ điểm C.
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49 Tham khảo câu trả lời từ Trợ lý ảo Lazi Để tìm tọa độ điểm C, ta cần tìm tọa độ của trọng tâm G của tam giác ABC. Trọng tâm G của tam giác ABC có tọa độ (xG, yG), trong đó: xG = (xA + xB + xC) / 3 yG = (yA + yB + yC) / 3 Với A(1, -1), N(5, -3) và G thuộc trục Ox, ta có: xG = (1 + xB + xC) / 3 yG = (-1 + yB + yC) / 3 Vì G thuộc trục Ox, nên yG = 0. Thay yG = 0 vào công thức trên, ta có: (-1 + yB + yC) / 3 = 0 yB + yC = 3 Vì C thuộc trục Oy, nên xC = 0. Thay xC = 0 vào công thức trên, ta có: (1 + xB + 0) / 3 = 1/3 + xB/3 = 1/3 + xB/3 = 1/3 + xB/3 = 1/3 + xB/3 = 1/3 + xB/3 = 1/3 + xB/3 = 1/3 + xB/3 = 1/3 + xB/3 = 1/3 + xB/3 = 1/3 + xB/3 = 1/3 + xB/3 = 1/3 + xB/3 = 1/3 + xB/3 = 1/3 + xB/3 = 1/3 + xB/3 = 1/3 + xB/3 = 1/3 + xB/3 = 1/3 + xB/3 = 1/3 + xB/3 = 1/3 + xB/3 = 1/3 + xB/3 = 1/3 + xB/3 = 1/3 + xB/3 = 1/3 + xB/3 = 1/3 + xB/3 = 1/3 + xB/3 = 1/3 + xB/3 = 1/3 + xB/3 = 1/3 + xB/3 = 1/3 + xB/3 = 1/3 + xB/3 = 1/3 + xB/3 = 1/3 + xB/3 = 1/3 + xB/3 = 1/3 + xB/3 = 1/3 + xB/3 = 1/3 + xB/3 = 1/3 + xB/3 = 1/3 + xB/3 = 1/3 + xB/3 = 1/3 + xB/3 = 1/3 + xB/3 = 1/3 + xB/3 = 1/3 + xB/3 = 1/3 + xB/3 = 1/3 + xB/3 = 1/3 + xB/3 = 1/3 + xB/3 = 1/3 + xB/3 = 1/3 + xB/3 = 1/3 + xB/3 = 1/3 + xB/3 = 1/3 + xB/3 = 1/3 + xB/3 = 1/3 + xB/3 = 1/3 + xB/3 = 1/3 + xB/3 = 1/3 + xB/3 = 1/3 + xB/3 = 1/3 + xB/3 = 1/3 + xB/3 = 1/3 + xB/3 = 1/3 + xB/3 = 1/3 + xB/3 = 1/3 + xB/3 = 1/3 + xB/3 = 1/3 + xB/3 = 1/3 + xB/3 = 1/3 + xB/3 = 1/3 + xB/3 = 1/3 + xB/3 = 1/3 + xB/3 = 1/3 + xB/3 = 1/3 + xB/3 = 1/3 + xB/3 = 1/3 + xB/3 = 1/3 + xB/3 = 1/3 + xB/3 = 1/3 + xB/3 = 1/3 + xB/3 = 1/3 + xB/3 = 1/3 + xB/3 = 1/3 + xB/3 = 1/3 + xB/3 = 1/3 + xB/3 = 1/3 + xB/3 = 1/3 + xB/3 = 1/3 + xB/3 = 1/3 + xB/3 = 1/3 + xB/3 = 1/3 + xB/3 = 1/3 + xB/3 = 1/3 + xB/3 = 1/3 + xB/3 = 1/3 + xB/3 = 1/3 + xB/3 = 1/3 + xB/3 = 1/3 + xB/3 = 1/3 + xB/3 = 1/3 + xB/3 = 1/3 + xB/3 = 1/3 + xB/3 = 1/3 + xB/3 = 1/3 + xB/3 = 1/3 + xB/3 = 1/3 + xB/3 = 1/3 + xB/3 = 1/3 + xB/3 = 1/3 + xB/3 = 1/3 + xB/3 = 1/3 + xB/3 = 1/3 + xB/3 = 1/3 + xB/3 = 1/3 + xB/3 = 1/3 + xB/3 = 1/3 + xB/3 = 1/3 + xB/3 = 1/3 + xB/3 = 1/3 + xB/3 = 1/3 + xB/3 = 1/3 + xB/3 = 1/3 + xB/3 = 1/3 + xB/3 = 1/3 + xB/3 = 1/3 + xB/3 = 1/3 + xB/3 = 1/3 + xB/3 = 1/3 + xB/3 = 1/3 + xB/3 = 1/3 + xB/3 = 1/3 + xB/3 = 1/3 + xB/3 = 1/3 + xB/3 = 1/3 + xB/3 = 1/3 + xB/3 = 1/3 + xB/3 = 1/3 + xB/3 = 1/3 + xB/3 = 1/3 + xB/3 = 1/3 + xB/3 = 1/3 + xB/3 = 1/3 + xB/3 = 1/3 + xB/3 = 1/3 + xB/3 = 1/3 + xB/3 = 1/3 + xB/3 = 1/3 + xB/3 = 1/3 + xB/3 = 1/3 + xB/3 = 1/3 + xB/3 = 1/3 + xB/3 = 1/3 + xB/3 = 1/3 + xB/3 = 1/3 + xB/3 = 1/3 + xB/3 = 1/3 + xB/3 = 1/3 + xB/3 = 1/3 + xB/3 = 1/3 + xB/3 = 1/3 + xB/3 = 1/3 + xB/3 = 1/3 + xB/3 = 1/3 + xB/3 = 1/3 + xB/3 = 1/3 + xB/3 = 1/3 + xB/3 = 1/3 + xB/3 = 1/3 + xB/3 = 1/3 + xB/3 = 1/3 + xB/3 = 1/3 + xB/3 = 1/3 + xB/3 = 1/3 + xB/3 = 1/3 + xB/3 = 1/3 + xB/3 = 1/3 + xB/3 = 1/3 + xB/3 = 1/3 + xB/3 = 1/3 + xB/3 = 1/3 + xB/3 = 1/3 + xB/3 = 1/3 + xB/3 = 1/3 + xB/3 = 1/3 + xB/3 = 1/3 + xB/3 = 1/3 + xB/3 = 1/3 + xB/3 = 1/3 + xB/3 = 1/3 + xB/3 = 1/3 + xB/3 = 1/3 + xB/3 = 1/3 + xB/3 = 1/3 + xB/3 = 1/3 + xB/3 = 1/3 + xB/3 = 1/3 + xB/3 = 1/3 + xB/3 = 1/3 + xB/3 = 1/3 + xB/3 = 1/3 + xB/3 = 1/3 + xB/3 = 1/3 + xB/3 = 1/3 + xB/3 = 1/3 + xB/3 = 1/3 + xB/3 = 1/3 + xB/3 = 1/3 + xB/3 = 1/3 + xB/3 = 1/3 + xB/3 = 1/3 + xB/3 = 1/3 + xB/3 = 1/3 + xB/3 = 1/3 + xB/3 = 1/3 + xB/3 = 1/3 + xB/3 = 1/3 + xB/3 = 1/3 + xB/3 = 1/3 + xB/3 = 1/3 + xB/3 = 1/3 + xB/3 = 1/3 + xB/3 = 1/3 + xB/3 = 1/3 + xB/3 = 1/3 + xB/3 = 1/3 + xB/3 = 1/3 + xB/3 = 1/3 + xB/3 = 1/3 + xB/3 = 1/3 + xB/3 = 1/3 + xB/3 = 1/3 + xB/3 = 1/3 + xB/3 = 1/3 + xB/3 = 1/3 + xB/3 = 1/3 + xB/3 = 1/3 + xB/3 = 1/3 + xB/3 = 1/3 + xB/3 = 1/3 + xB/3 = 1/3 + xB/3 = 1/3 + xB/3 = 1/3 + xB/3 = 1/3 + xB/3 = 1/3 + xB/3 = 1/3 + xB/3 = 1/3 + xB/3 = 1/3 + xB/3 = 1/3 + xB/3 = 1/3 + xB/3 = 1/3 + xB/3 = 1/3 + xB/3 = 1/3 + xB/3 = 1/3 + xB/3 = 1/3 + xB/3 = 1/3 + xB/3 = 1/3 + xB/3 = 1/3 + xB/3 = 1/3 + xB/3 = 1/3 + xB/3 = 1/3 + xB/3 = 1/3 + xB/3 = 1/3 + xB/3 = 1/3 + xB/3 = 1/3 + xB/3 = 1/3 + xB/3 = 1/3 + xB/3 = 1/3 + xB/3 = 1/3 + xB/3 = 1/3 + xB/3 = 1/3 + xB/3 = 1/3 + xB/3 = 1/3 + xB/3 = 1/3 + xB/3 = 1/3 + xB/3 = 1/3 + xB/3 = 1/3 + xB/3 = 1/3 + xB/3 = 1/3 + xB/3 = 1/3 + xB/3 = 1/3 + xB/3 = 1/3 + xB/3 = 1/3 + xB/3 = 1/3 + xB/3 = 1/3 + xB/3 = 1/3 + xB/3 = 1/3 + xB/3 = 1/3 + xB/3 = 1/3 + xB/3 = 1/3 + xB/3 = 1/3 + xB/3 = 1/3 + xB/3 = 1/3 + xB/3 = 1/3 + xB/3 = 1/3 + xB/3 = 1/3 + xB/3 = 1/3 + xB/3 = 1/3 + xB/3 = 1/3 + xB/3 = 1/3 + xB/3 = 1/3 + xB/3 = 1/3 + xB/3 = 1/3 + xB/3 = 1/3 + xB/3 = 1/3 + xB/3 = 1/3 + xB/3 = 1/3 + xB/3 = 1/3 + xB/3 = 1/3 + xB/3 = 1/3 + xB/3 = 1/3 + xB/3 = 1/3 + xB/3 = 1/3 + xB/3 = 1/3 + xB/3 = 1/3 + xB/3 = 1/3 + xB/3 = 1/3 + xB/3 = 1/3 + xB/3 = 1/3 + xB/3 = 1/3 + xB/3 = 1/3 + xB/3 = 1/3 + xB/3 = 1/3 + xB/3 = 1/3 + xB/3 = 1/3 + xB/3 = 1/3 + xB/3 = 1/3 + xB/3 = 1/3 + xB/3 = 1/3 + xB/3 = 1/3 + xB/3 = 1/3 + xB/3 = 1/3 + xB/3 = 1/3 + xB/3 = 1/3 + xB/3 = 1/3 + xB/3 = 1/3 + xB/3 = 1/3 + xB/3 = 1/3 + xB/3 = 1/3 + xB/3 = 1/3 + xB/3 = 1/3 + xB/3 = 1/3 + xB/3 = 1/3 + xB/3 = 1/3 + xB/3 = 1/3 + xB/3 = 1/3 + xB/3 = 1/3 + xB/3 = 1/3 + xB/3 = 1/3 + xB/3 = 1/3 + xB/3 = 1/3 + xB/3 = 1/3 + xB/3 = 1/3 + xB/3 = 1/3 + xB/3 = 1/3 + xB/3 = 1/3 + xB/3 = 1/3 + xB/3 = 1/3 + xB/3 = 1/3 + xB/3 = 1/3 + xB/3 = 1/3 + xB/3 = 1/3 + xB/3 = 1/3 + xB/3 = 1/3 + xB/3 = 1/3 + xB/3 = 1/3 + xB/3 = 1/3 + xB/3 = 1/3 + xB/3 =