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Giải bài 6 trang 49 Chuyên đề học tập Toán 11 Chân trời sáng tạo

Cho tập hợp số V = {2; 3; 4; 5; 6; 7; 11; 12}.

🅰Tổng hợp đề thi học kì 2 lớp 11 tất cả các môn - Chân trời sáng tạo

Toán - Văn - Anh - Lí - Hóa - Sinh
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Đề bài

Cho tập hợp số V = {2; 3; 4; 5; 6; 7; 11; 12}. Hãy vẽ đồ thị có các đỉnh biểu diễn các phần tử của V, hai đỉnh kề nhau nếu hai số mà chúng biểu diễn nguyên tố cùng nhau (tức có ước chung lớn nhất bằng 1).

Phương pháp giải - Xem chi tiết

Đồ thị G là hình bao gồm: - Tập hợp hữu hạn các điểm, mỗi điểm gọi là một đỉnh của đồ thị. - Tập hợp các đoạn (cong hoặc thẳng), mỗi đoạn nối 2 đỉnh gọi là cạnh của đồ thị.

Lời giải chi tiết

Trong tập hợp số V, ta có các cặp số sau nguyên tố cùng nhau:• (2 và 3); (2 và 5); (2 và 7); (2 và 11);• (3 và 4); (3 và 5); (3 và 7); (3 và 11);• (4 và 5); (4 và 7); (4 và 11);• (5 và 6); (5 và 7); (5 và 11); (5 và 12);• (6 và 7); (6 và 11);• (7 và 11); (7 và 12);• (11 và 12).

Ta vẽ đồ thị G có 8 đỉnh A2, A3, A4, A5, A6, A7, A11, A12✤ lần lượt biểu diễn tám số 2; 3; 4; 5; 6; 7; 11; 12 trong tập hợp số V.

Hai đỉnh được nối bằng một cạnh nếu hai số mà chúng biểu diễn nguyên tố cùng nhau.Ta có đồ thị G như sau:

 

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Tham Gia Group Dành Cho Lớp 11 Chia Sẻ, Trao Đổi Tài Liệu Miễn Phí

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