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ཧ Toán 9 cánh diều | Giải toán lớp 9 cánh diều

Giải bài tập 1 trang 92 SGK Toán 9 tập 1 - Cánh diều

Cho tam giác (ABC) vuông tại (A) có đường cao (AH) và (widehat B = alpha ) (Hình 40). a) Tỉ số (frac{{HA}}{{HB}}) bằng: A. (sin alpha ). B. (cos alpha ). C. (tan alpha ). D. (cot alpha ). b) Tỉ số (frac{{HA}}{{HC}}) bằng: A. (sin alpha ). B. (cos alpha ). C. (tan alpha ). D. (cot alpha ). c) Tỉ số (frac{{HA}}{{AC}}) bằng: A. (sin alpha ). B. (cos alpha ). C. (tan alpha ). D. (cot alpha ).

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

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Đề bài

Cho tam giác \(ABC\) vuông tại \(A\) có đường cao \(AH\) và \(\widehat B = \alpha \) (Hình 40).

a) Tỉ số \(\frac{{HA}}{{HB}}\) bằng:

A. \(\sin \alpha \).

B. \(\cos \alpha \).

C. \(\tan \alpha \).

D. \(\cot \alpha \).

b) Tỉ số \(\frac{{HA}}{{HC}}\) bằng:

A. \(\sin \alpha \).

B. \(\cos \alpha \).

C. \(\tan \alpha \).

D. \(\cot \alpha \).

c) Tỉ số \(\frac{{HA}}{{AC}}\) bằng:

A. \(\sin \alpha \).

B. \(\cos \alpha \).

C. \(\tan \alpha \).

D. \(\cot \alpha \).

Video hướng dẫn giải

Phương pháp giải - Xem chi tiết

Dựa vào tỉ số lượng giác để giải bài toán.

Lời giải chi tiết

a) Chọn đáp án C.

b) Xét tam giác \(AHC\) vuông tại \(H\) có: \(\tan C = \frac{{HA}}{{HC}}\). Do \(\widehat B + \widehat C = 90^\circ \) nên \(\tan C = \cot B\). Vậy \(\cot \alpha = \frac{{HA}}{{HC}}\).

Chọn đáp án D.

c) Xét tam giác \(AHC\) vuông tại \(H\) có: \(\sin C = \frac{{HA}}{{AC}}\). Do \(\widehat B + \widehat C = 90^\circ \) nên \(\sin C = \cos B\). Vậy \(\cos \alpha = \frac{{HA}}{{AC}}\).

Chọn đáp án B.

Chia sẻ

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4 trên 3 phiếu

💧 Giải bài tập 2 trang 92 SGK Toán 9 tập 1 - Cánh diều
Cho hình thoi (ABCD) có (AB = a,widehat {BAD} = 2alpha left( {0^circ < alpha < 90^circ } right)). Chứng minh: a) (BD = 2a.sin alpha ). b) (AC = 2a.cos alpha ).
ဣ Giải bài tập 3 trang 92 SGK Toán 9 tập 1 - Cánh diều Trong trò chơi xích đu ở Hình 41, khi dây căng xích đu (không dãn) (OA = 3m) tạo với phương thẳng đứng một góc là (widehat {AOH} = 43^circ ) thì khoảng cách (AH) từ em bé đến vị trí cân bằng là bao nhiêu mét (làm tròn kết quả đến hàng phần trăm)?
♍ Giải bài tập 4 trang 92 SGK Toán 9 tập 1 - Cánh diều Một người đứng ở vị trí (B) trên bờ sông muốn sử dụng la bàn để ước lượng khoảng cách từ vị trí đó đến một vị trí (A) ở trên một cù lao giữa dòng sông. Người đó đã làm như sau: - Sử dụng la bàn, xác định được phương (BA) lệch với phương Nam – Bắc về hướng Đông (52^circ ). - Người đó di chuyển đến vị trí (C), cách (B) một khoảng là 187m. Sử dụng la bàn, xác định được phương (CA) lệch với phương Nam – Bắc về hướng Tây (27^circ ); (CB) lệch với phương Nam – Bắc về hướng Tây

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Luyện Bài Tập Trắc nghiệm Toán 9 - Cánh diều - Xem ngay

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Giải bài tập 1 trang 92 SGK Toán 9 tập 1 - Cánh diều

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