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Giải mục 1 trang 74, 75 SGK Toán 8 – Cánh diều

Quan sát Hình 56 và so sánh các tỉ số:

🍃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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HĐ1

Video hướng dẫn giải

Quan sát Hình 56ꦉ và so sánh các tỉ số: \(\frac{{A'B'}}{{AB}};\,\,\frac{{A'C'}}{{AC}};\,\,\frac{{B'C'}}{{BC}}\).

Phương pháp giải:

Tính tỉ số giữa các cạnh rồi so sánh.

Lời giải chi tiết:

\(\begin{array}{l}\frac{{A'B'}}{{AB}} = \frac{2}{4} = \frac{1}{2}\\\frac{{A'C'}}{{AC}} = \frac{3}{6} = \frac{1}{2}\\\frac{{B'C'}}{{BC}} = \frac{4}{8} = \frac{1}{2}\end{array}\) Ta thấy \(\frac{{A'B'}}{{AB}} = \frac{{A'C'}}{{AC}} = \frac{{B'C'}}{{BC}}\)

LT1

Video hướng dẫn giải

Cho tam giác ABC có trọng tâm G. Gọi A’, B’, C’ lần lượt là trung điểm của AG, BG, CG. Chứng minh \(\Delta A'B'C' \backsim\Delta ABC\).

Phương pháp giải:

Tính tỉ số giữa các cạnh rồi chứng minh đồng dạng bằng trường hợp đồng dạng thứ nhất.

Lời giải chi tiết:

Vì A’, B’, C’ lần lượt là trung điểm của AG, BG, CG nên A’B’, B’C’, A’C’ lần lượt là đường trung bình của các tam giác AGB, BGC, AGC. Khi đó: \(\frac{{A'B'}}{{AB}} = \frac{{B'C'}}{{BC}} = \frac{{A'C'}}{{AC}} = \frac{1}{2}\) Xét tam giác A’B’C’ và tam giác ABC có: \(\frac{{A'B'}}{{AB}} = \frac{{B'C'}}{{BC}} = \frac{{A'C'}}{{AC}} = \frac{1}{2}\) Vậy \(\Delta A'B'C' \backsim\Delta ABC\) (c-c-c)

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

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