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Giải bài 1 trang 58 SGK Toán 8 tập 2– Chân trời sáng tạo

Cho tam giác

ꩵTổng 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

Cho tam giác \(ABC\), biết \(DE//BC\) và \(AE = 6cm,EC = 3cm,DB = 2cm\) (Hình 1). Độ dài đoạn thẳng \(AD\) là A. 4cm. B. 3 cm.                          C. 5cm. D. 3,5 cm.

Video hướng dẫn giải

Phương pháp giải - Xem chi tiết

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

Lời giải chi tiết

Chọn đáp án A

Xét tam giác \(ABC\) có \(DE//BC\) nên theo định lí Thales ta có: \(\frac{{AD}}{{BD}} = \frac{{AE}}{{EC}} \Rightarrow \frac{x}{2} = \frac{6}{3}\). Do đó, \(x = \frac{{6.2}}{3} = 4\). Vậy \(x = 4\).

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