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Hai đường tròn có các vị trí tương đối nào? Cách xác định vị trí tương đối của hai đường tròn - Toán 9

1. Vị trí tương đối của hai đường tròn

Hai đường trong có thể cắt nhau, tiếp xúc nhau (tiếp xúc trong, tiếp xúc ngoài), không giao nhau (ở ngoài nhau, đựng nhau, đồng tâm)

2. Bảng tổng kết vị trí tương đối của hai đường tròn

Chú ý:
• Đường nối tâm (đường thẳng đi qua tâm 2 đường tròn) là trục đối xứng của hình tạo bởi hai đường tròn.
• Nếu hai đường tròn tiếp xúc nhau thì tiếp điểm nằm trên đường nối tâm.
• Nếu hai đường tròn cắt nhau thì đường nối tâm là đường trung trực của dây chung.

3. Cách xác định vị trí tương đối của hai đường tròn

Để xác định vị trí tương đối của hai đường tròn \(\left( {O;R} \right)\) và \(\left( {O';R'} \right)\) \(\left( {R \ge R'} \right)\), ta dựa vào số điểm chung hoặc hệ thức giữa OO’ với R và R’.

4. Bài tập vận dụng

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