༺ཌༀaaaaaༀད༻Giải toán 9 bài 30 trang 84, 85, 86 Kết nối tri thức

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🐷Toán 9 kết nối tri thức | Giải toán lớp 9 kết nối tri thức | Bài 30. Đa giác đều - Toán 9 Kết nối tri thức

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Lý thuyết Đa giác đều
1. Đa giác đều Đa giác Những hình như dưới đây được gọi chung là các đa giác. 🍒 Xem chi tiết
Mục 1 trang 84, 85, 86
Ta đã biết các tam giác đều và hình vuông có các đỉnh nằm trên một đường tròn. Ta dựng một đa giác lồi 5 cạnh có các đỉnh nằm trên một đường tròn như sau: - Vẽ đường tròn tâm O bán kính R. - Lần lượt lấy các điểm A, B, C, D, E trên đường tròn theo thứ tự ngược chiều kim đồng hồ (hoặc theo chiều kim đồng hồ) sao cho: (widehat {AOB} = widehat {BOC} = widehat {COD} = widehat {DOE} = widehat {EOA} = frac{{{{360}^o}}}{5} = {72^o}). Em hãy giải thích vì sao các cạnh và các góc của đa giác 🍨 Xem chi tiết

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Mục 2 trang 87, 88, 89
Để bày bàn ăn cho nhiều người, các nhà hàng thường sử dụng bàn xoay có hình tròn và quay được quanh tâm của hình tròn. Đặt một chiếc cốc nhỏ ở vị trí điểm A trên bàn xoay hình tròn với tâm O sao cho điểm A khác điểm O. Khi quay bàn xoay thuận chiều kim đồng hồ (H.9.46) thì chiếc cốc di chuyển đến một vị trí mới là điểm B. Em hãy so sánh khoảng cách từ hai điểm A và B đến điểm O. Hai điểm A, B có cùng nằm trên một đường tròn tâm O hay không? ☂ Xem chi tiết
Bài 9.24 trang 89
Trong các hình phẳng sau (H.9.52), hình nào là hình phẳng có dạng đa giác đều? 🐈 Xem chi tiết
Bài 9.25 trang 89
Trong các hình dưới đây (H.9.53), hình nào vẽ hai điểm M và N thỏa mãn phép quay thuận chiều ({60^o}) tâm O biến điểm M thành điểm N? 🔥 Xem chi tiết
Bài 9.26 trang 89
Cho tam giác đều ABC nội tiếp đường tròn (O) bán kính 2cm. Tính độ dài các cạnh của tam giác ABC. 𓆉 Xem chi tiết
Bài 9.27 trang 89
Cho hình thoi ABCD có (widehat A = {60^o}). Gọi M, N, P, Q lần lượt là trung điểm của AB, BC, CD, DA. Chứng minh rằng MBNPDQ là lục giác đều. ⛦ Xem chi tiết
Bài 9.28 trang 89
Cho tam giác đều ABC nội tiếp đường tròn (O) như Hình 9.54. Phép quay ngược chiều ({60^o}) tâm O biến các điểm A, B, C lần lượt thành các điểm D, E, F. Chứng minh rằng ADBECF là một lục giác đều. 🎃 Xem chi tiết
Bài 9.29 trang 89
Liệt kê năm phép quay giữ nguyên một ngũ giác đều nội tiếp một đường tròn tâm O. 🔥 Xem chi tiết
Bài 9.30 trang 89
Cho vòng quay mặt trời gồm tám cabin như Hình 9.55. Hỏi để cabin A di chuyển đến vị trí cao nhất thì vòng quay phải quay thuận chiều kim đồng hồ quanh tâm bao nhiêu độ? ๊ Xem chi tiết

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