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Giải bài tập 5.8 trang 106 SGK Toán 9 tập 1 - Cùng khám phá

Xác định vị trí tương đối của hai đường tròn có đường kính lần lượt là 8cm và 12cm, biết khoảng cách giữa hai tâm của hai đường tròn là 10cm.

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

Toán - Văn - Anh
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Đề bài

Xác định vị trí tương đối của hai đường tròn có đường kính lần lượt là 8cm và 12cm, biết khoảng cách giữa hai tâm của hai đường tròn là 10cm.

Phương pháp giải - Xem chi tiết

+ Tìm bán kính của mỗi đường tròn. + Dựa vào hệ thức liên hệ giữa R, r và d để xác định vị trí tương đối của hai đường tròn.

Lời giải chi tiết

Gọi đường tròn tâm I có bán đường kính 8cm và đường tròn tâm K có đường kính 12cm. Khi đó, đường tròn tâm I có bán bán kính \(r = 4cm\) và đường tròn tâm K có bán kính \(R = 6cm\). Vì \(R + r = 10cm\) nên hai đường tròn (I; 4cm) và (K; 6cm) tiếp xúc ngoài.

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