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Giải bài tập 16 trang 58 SGK Toán 9 tập 1 - Chân trời sáng tạo

Một trục số được vẽ trên lưới ô vuông như Hình 1. a) Đường tròn tâm O bán kính OA cắt trục số tại hai điểm M và N. Hai điểm M và N biểu diễn hai số thực nào? b) Đường tròn tâm B bán kính BC cắt trục số tại hai điểm P và Q. Hai điểm P và Q biểu diễn hai số thực nào?

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

Toán - Văn - Anh
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Đề bài

Một trục số được vẽ trên lưới ô vuông như Hình 1.

💯a) Đường tròn tâm O bán kính OA cắt trục số tại hai điểm M và N. Hai điểm M và N biểu diễn hai số thực nào?

﷽b) Đường tròn tâm B bán kính BC cắt trục số tại hai điểm P và Q. Hai điểm P và Q biểu diễn hai số thực nào?

Video hướng dẫn giải

Phương pháp giải - Xem chi tiết

Tính bán kính mỗi đường tròn rồi suy ra các số thực mà các điểm biểu diễn.

Lời giải chi tiết

a) Ta có OM = OA = \(\sqrt {{1^2} + {3^2}}  = \sqrt {10} \) (Áp dụng định lý Pythagore vào tam giác vuông) Vậy điểm M và N biểu diễn hai số thực lần lượt là - \(\sqrt {10} \) và \(\sqrt {10} \). b) Ta có BP = BC = \(\sqrt {{1^2} + {1^2}}  = \sqrt 2 \) (Áp dụng định lý Pythagore vào tam giác vuông) Vậy điểm Q và P biểu diễn hai số thực lần lượt là  \(6 -\sqrt 2 \) và \(6 + \sqrt 2 \).

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