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Giải bài 9.43 trang 110 SGK Toán 8 tập 2 - Kết nối tri thức

Hai đường trung tuyến BM, CN của tam giác ABC cắt nhau tại điểm G

𝕴Tổng hợp đề thi học kì 2 lớp 8 tất cả các môn - Kết nối tri thức

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

ﷺHai đường trung tuyến BM, CN của tam giác ABC cắt nhau tại điểm G (H.9.75). Chứng minh rằng tam giác GMN đồng dạng với tam giác GBC và tìm tỉ số đồng dạng 

Video hướng dẫn giải

Phương pháp giải - Xem chi tiết

Chứng minh tam giác GMN và tam giác GBC có NM // BC

Lời giải chi tiết

Xét tam giác ABC có: NA = NB, MA = MC nên NM là đường trung bình của tam giác ABC Do đó NM // BC và \(NM = \frac{1}{2}AB\) Xét tam giác GMN và tam giác GBC có NM // BC nên \(\Delta GMN \backsim \Delta GBC\) (định lí hai tam giác đồng dạng) 

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

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