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Giải bài 1 trang 70 vở thực hành Toán 8

Tìm độ dài x, y trong Hình 4.4 (làm tròn kết quả đến chữ số thập phân thứ nhất).

൲Tổng 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

Tìm độ dài x, y trong Hình 4.4 (làm tròn kết quả đến chữ số thập phân thứ nhất).

Phương pháp giải - Xem chi tiết

Áp dụng định lí Thalès: Nếu một đường thẳng song song với một cạnh của tam giác và cắt hai cạnh cong lại thì nó định ra trên hai cạnh đó những đoạn thẳng tương ứng tỉ lệ.

Lời giải chi tiết

𒉰a) Ta có HK // QE nên theo định lí Thales ta có: \(\frac{{PH}}{{HQ}} = \frac{{PK}}{{KE}}\) nên \(\frac{6}{4} = \frac{8}{x},\)

suy ra \(6.x\; = 4.8\)

          \(x \approx \;5,3.\)

♍b) Ta có \(\widehat {AMN} = \widehat {ABC},\) mà hai góc này ở vị trí đồng vị nên MN // BC.

ꦦTheo định lí Thales ta có: \(\frac{{AM}}{{MB}} = \frac{{AN}}{{NC}}\) nên \(\frac{y}{{6,5}} = \frac{8}{3},\)

suy ra \(y.3 = 8.6,5\)

          \(y \approx \;17,3.\)

 

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

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