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Giải bài 4 trang 50 SGK Toán 8 tập 2– Chân trời sáng tạo

Quan sát Hình 22, chứng minh rằng

🅘Tổng hợp đề thi học kì 2 lớp 8 tất cả các môn - Chân trời sáng tạo

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

Quan sát Hình 22, chứng minh rằng \(MN//BC\).

Video hướng dẫn giải

Phương pháp giải - Xem chi tiết

Định lí Thales đảo Nếu một đường thẳng cắt hai cạnh của một tam giác và định ra trên hai cạnh này những đoạn thẳng tương ứng tỉ lệ thì đường thẳng đó song song với cạnh còn lại của tam giác.

Lời giải chi tiết

Ta có: \(\frac{{AM}}{{MB}} = \frac{{3,6}}{{2,4}} = \frac{3}{2}\);\(\frac{{AN}}{{NC}} = \frac{{4,5}}{3} = \frac{3}{2}\). Vì \(\frac{{AM}}{{MB}} = \frac{{AN}}{{NC}} = \frac{3}{2}\) Theo định lí Thales đảo trong \(\Delta ABC\), ta có \(MN//BC\) (điều phải chứng minh).

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