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Giải mục 1 trang 59 SGK Toán 8 – Cánh diều

Bạn Loan đặt một cái que lên bàn cờ vua như ở Hình 20. Bạn ấy nói rằng:

💙Tổng hợp đề thi học kì 2 lớp 8 tất cả các môn - Cánh diều

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

Bạn Loan đặt một cái que lên bàn cờ vua như ở Hình 20🉐. Bạn ấy nói rằng: Không sử dụng thước đo, có thể chia cái que đó thành ba phần bằng nhau. Em hãy giải thích tại sao?

 

Video hướng dẫn giải

Phương pháp giải - Xem chi tiết

♚Lấy thêm điểm và sử dụng định lý Thales để chia đoạn thẳng thành ba phần bằng nhau.

Lời giải chi tiết

Đoạn thẳng AB biểu diễn cho cái que. Trên bàn cờ lấy một điểm P nằm ngoài đoạn thẳng AB sao cho AP có độ dài 6 ô vuông. Nối AP, BP. Trên đoạn thẳng AP lấy hai điểm M và N sao cho AM = MN = NP = 2 ô vuông. Tại M, N kẻ các đường thẳng vuông góc với AP và cắt AB lần lượt tại C và D. => MC // ND // PB Áp dụng định lý Thales trong tam giác APB thì \(\frac{AM}{AP} = \frac{AC}{AB} = \frac{1}{3} \Rightarrow AC = \frac{1}{3}AB\) và \(\frac{AN}{AP} = \frac{AD}{AB} = \frac{2}{3}\Rightarrow AD = \frac{2}{3}AB\). Khi đó AC = CD = DB = \(\frac{1}{3}\)AB. Vậy ta đã chia cái que thành 3 phần bằng nhau mà không cần dùng thước đo.

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Tham Gia Group Dành Cho Lớp 8 Chia Sẻ, Trao Đổi Tài Liệu Miễn Phí

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