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2024-05-16 16:42:36
Bài làm.
Ta có: M là trung điểm AB => M nằm giữa A và B => MA = MB
=> AM + MB = AB => MB + MB = AB => 2MB = AB => MB = AB/2 (1)
Lại có: C là tia đối của BM => B nằm giữa C và M
=> MB + BC = MC => BC = MC - BM (2)
Ta lấy (1) + (2) => MB + BC = AB/2 + (MC - BM)
=> MC = AB/2 + BC
=> MC = AB/2 + 2*BC/2
=> MC = (AB + 2BC)/2 = (AB + BC + BC)/2 = [(AB + BC) + BC]/2 = (AC + BC)/2
Vậy MC = (AC + BC)/2 (đpcm)
2024-05-16 16:30:13