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Giải bài tập 1 trang 73 SGK Toán 9 tập 2 - Cánh diều

Trong các hình 15a, 15b, 15c, 15d ở hình nào ta có đường tròn (O) là đường tròn ngoại tiếp tam giác ABC? Ở hình nào ta có đường tròn (O) là đường tròn nội tiếp tam giác ABC? Vì sao?

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

Toán - Văn - Anh
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Đề bài

Trong các hình 15a, 15b, 15c, 15d ở hình nào ta có đường tròn (O) là đường tròn ngoại tiếp tam giác ABC? Ở hình nào ta có đường tròn (O) là đường tròn nội tiếp tam giác ABC? Vì sao?

Video hướng dẫn giải

Phương pháp giải - Xem chi tiết

Dựa vào định nghĩa: - Đường tròn ngoại tiếp tam giác là đường tròn đi qua 3 đỉnh của tam giác. - Đường tròn nội tiếp tam giác là đường tròn tiếp xúc với 3 cạnh của tam giác.

Lời giải chi tiết

- Đường tròn ngoại tiếp tam giác: Hình 15a, 15d vì đường tròn (O) đi qua 3 đỉnh A, B, C của tam giác ABC. - Hình 15b: Đường tròn (O) đi qua 2 đỉnh A, B nhưng không đi qua đỉnh C của tam giác ABC nên (O) không ngoại tiếp tam giác ABC. - Hình 15c: Đường tròn (O) tiếp xúc với cạnh AB, AC nhưng không tiếp xúc với cạnh  BC của tam giác ABC nên (O) không nội tiếp tam giác ABC.

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