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Giải bài 4 trang 99 sách bài tập toán 9 - Chân trời sáng tạo tập 1

Cho biết DE là tiếp tuyến của đường tròn trong Hình 4. Số đo (theta ) của góc (widehat {BAD}) trong hình là A. 28o B. 52o C. 56o D. 26o

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

Toán - Văn - Anh
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Đề bài

๊Cho biết DE là tiếp tuyến của đường tròn trong Hình 4. Số đo \(\theta \) của góc \(\widehat {BAD}\) trong hình là

A. 28o

B. 52o

C. 56o

D. 26o

 

Phương pháp giải - Xem chi tiết

Dựa vào: Góc nội tiếp chắn nửa đường tròn là góc vuông. Một đường thẳng là tiếp tuyến của đường tròn khi nó đi qua một điểm của đường tròn và vuông góc với bán kính đi qua điểm đó.

Lời giải chi tiết

Ta có \(\widehat {ABC} = {90^o}\) (góc nội tiếp chắn nửa đường tròn). suy ra \(\widehat {BAC} = {90^o} - \widehat {BCA} = {90^o} - {52^o} = {38^o}\) Do DE là tiếp tuyến của đường tròn tại A nên \(\widehat {DAO} = {90^o}\). Suy ra \(\widehat {BAD} = {90^o} - \widehat {BAC} = {90^o} - {38^o} = {52^o}\). Chọn đáp án B.

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

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