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Giải bài tập 5.7 trang 106 SGK Toán 9 tập 1 - Cùng khám phá

Sử dụng compa và thước đo độ dài, hãy vẽ hai đường tròn bán kính lần lượt 5cm và 4cm tiếp xúc nhau.

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

Toán - Văn - Anh
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Đề bài

Sử dụng compa và thước đo độ dài, hãy vẽ hai đường tròn bán kính lần lượt 5cm và 4cm tiếp xúc nhau.

Phương pháp giải - Xem chi tiết

Cho hai đường tròn phân biệt (O; R) và (O’; r) và \(d = OO'\). Vị trí tương đối giữa hai đường tròn (O; R) và (O’; r) có thể xác định dựa vào hệ thức liên hệ giữa R, r và d như sau: + Nếu \(d = R + r\) thì hai đường tròn tiếp xúc ngoài. + Nếu \(d = R - r\) thì hai đường tròn tiếp xúc trong.

Lời giải chi tiết

Gọi đường tròn (O) có bán kính 5cm và đường tròn (I) có bán kính 4cm. Trường hợp 1: Hai đường tròn (O; 5cm) và (I; 4cm) tiếp xúc ngoài. + Vẽ đoạn thẳng \(OI = 9cm\). + Vẽ đường tròn (O; 5cm) và đường tròn (I; 4cm). Khi đó, ta được (O; 5cm) và đường tròn (I; 4cm) tiếp xúc ngoài.

Trường hợp 2: Hai đường tròn (O; 5cm) và (I; 4cm) tiếp xúc trong. + Vẽ đoạn thẳng \(OI = 1cm\). + Vẽ đường tròn (O; 5cm) và đường tròn (I; 4cm). Khi đó, ta được (O; 5cm) và đường tròn (I; 4cm) tiếp xúc trong.

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