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Giải bài 12 trang 100 sách bài tập toán 9 - Chân trời sáng tạo tập 1

Cho AB và AC là hai tiếp tuyến tiếp xúc với đường tròn (O; R) lần lượt tại hai tiếp điểm B và C (Hình 8). a) AB = AO. b) Tia AO là tia phân giác của (widehat {BAC}). c) Tia OA là tai phân giác của (widehat {BOC}) d) OA = OB = R.

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

Toán - Văn - Anh
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Đề bài

Chọn đúng hoặc sai cho mỗi ý a), b), c), d).

꧙Cho AB và AC là hai tiếp tuyến tiếp xúc với đường tròn (O; R) lần lượt tại hai tiếp điểm B và C (Hình 8).

a) AB = AO.

💖b) Tia AO là tia phân giác của \(\widehat {BAC}\).

c) Tia OA là tai phân giác của \(\widehat {BOC}\)

d) OA = OB = R.

 

Phương pháp giải - Xem chi tiết

Dựa vào: Nếu hai tiếp tuyến của một đường tròn cắt nhau tại một điểm thì *Điểm đó cách đều hai tiếp điểm *Tia kẻ từ điểm đó đi qua tâm là tia phân giác của góc tạo bởi hai tiếp tuyến. * Tia kẻ từ tâm đi qua điểm đó là tia phân giác của góc tạo bởi hai bán kính đi qua các tiếp điểm. Đường tròn tâm O bán kính R (R > 0) là hình gồm tất cả các điểm cách điểm O một khoảng bằng R.

Lời giải chi tiết

a) Sai. b) Đúng vì AB và AC là hai tiếp tuyến cắt nhau tại A và tia AO đi qua tâm O. c) Đúng vì tia kẻ từ tâm O đi qua điểm A là giao điểm của hai tiếp tuyến AB và AC. d) Sai.

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

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