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Giải bài 6 trang 104 sách bài tập Toán 6 – Chân trời sáng tạo Tập 2

Cho ba điểm A, B, C thẳng hàng, B nằm giữa A và C. Gọi I là trung điểm của đoạn thẳng AB, M là trung điểm của đoạn thẳng BC. Biết AC = 12 cm. Tính độ dài IM.

🃏Tổng hợp đề thi học kì 2 lớp 6 tất cả các môn - Chân trời sáng tạo

Toán - Văn - Anh - Khoa học tự nhiên...
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Đề bài

Cho ba điểm A, B, C thẳng hàng, B nằm giữa A và C. Gọi I là trung điểm của đoạn thẳng AB, M là trung điểm của đoạn thẳng BC. Biết AC = 12 cm. Tính độ dài IM.

Phương pháp giải - Xem chi tiết

Nếu I là trung điểm của đoạn thẳng AB thì IA = IB Nếu B nằm giữa A và C thì AB + BC = AC.

Lời giải chi tiết

Vì B nằm giữa A và C, I, M lần lượt là trung điểm của AB và BCDo đó B nằm giữa I và M.Vậy IM = IB + BM.Mà: IB = IB = AB : 2, BM = BC = BC :2Vậy IM = AB : 2 + BC : 2 = (AB + BC) : 2 = AC : 2 = 12 : 2 = 6 (cm)

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