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Giải bài 4 trang 74 vở thực hành Toán 9

Cho hình chữ nhật có chiều dài và chiều rộng lần lượt là 3 và (sqrt 3 ). Tính góc giữa đường chéo và cạnh ngắn hơn của hình chữ nhật (sử dụng bảng giá trị lượng giác của các góc đặc biệt).

Tổng hợp Đề thi vào 10 có đáp án và lời giải

Toán - Văn - Anh
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Đề bài

Cho hình chữ nhật có chiều dài và chiều rộng lần lượt là 3 và \(\sqrt 3 \). Tính góc giữa đường chéo và cạnh ngắn hơn của hình chữ nhật (sử dụng bảng giá trị lượng giác của các góc đặc biệt).

Phương pháp giải - Xem chi tiết

Xét tam giác ABC vuông tại A có góc nhọn B bằng \(\alpha \). Ta có tỉ số giữa cạnh đối và cạnh kề gọi là tan của \(\alpha \).

Lời giải chi tiết

(H.4.8)

Hình chữ nhật ABCD có \(AD = \sqrt 3 ,DC = 3\). Ta cần tính góc ADB. Ta có \(\tan \widehat {ADB} = \frac{{AB}}{{AD}} = \frac{3}{{\sqrt 3 }} = \sqrt 3 \)

Theo bảng giá trị lượng giác của các góc đặc biệt, ta có \(\widehat {ADB} = {60^o}\).

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Tham Gia Group Dành Cho Lớp 9 - Ôn Thi Vào Lớp 10 Miễn Phí

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