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Giải bài 8 trang 85 sách bài tập toán 9 - Chân trời sáng tạo tập 1

Cho hình vuông ABCD có cạnh bằng 4 cm. a) Vẽ các đường tròn tâm A, B, C, D bán kính 2 cm. b) Nêu nhận xét về vị trí giữa các cặp đường tròn (A; 2 cm) và (B; 2 cm), (A; 2 cm) và (C; 2cm).

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

Toán - Văn - Anh
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Đề bài

Cho hình vuông ABCD có cạnh bằng 4 cm.

ಞa) Vẽ các đường tròn tâm A, B, C, D bán kính 2 cm.

🐎b) Nêu nhận xét về vị trí giữa các cặp đường tròn (A; 2 cm) và (B; 2 cm), (A; 2 cm) và (C; 2cm).

Phương pháp giải - Xem chi tiết

Dựa vào: Dựa vào: Đường tròn tâm O bán kính R (R > 0) là hình gồm tất cả các điểm cách điểm O một khoảng bằng R. Hai đường tròn cắt nhau: R – R’ < OO’ < R + R’ Hai đường tròn tiếp xúc ngoài: OO’ = R + R’ Hai đường tròn tiếp xúc trong: OO’ = R - R’ Hai đường tròn ở ngoài nhau: OO’ > R + R’ Đường tròn (O; R) đựng đường tròn (O’; R’): OO’ < R – R’.

Lời giải chi tiết

a)

b) Ta có AB = 4 = 2 + 2, suy ra (A: 2 cm) và (B; 2 cm) tiếp xúc ngoài, AC = \(4\sqrt 2  > 2 + 2\), suy ra (A: 2 cm) và (C; 2 cm) ở ngoài nhau.

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