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Giải bài 3 trang 86 sách bài tập toán 9 - Chân trời sáng tạo tập 2

Dựa trên gợi ý của hình ngũ giác đều (Hình 11a), tìm phép quay biến hình con sao biển thành chính nó (Hình 11b).

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

Toán - Văn - Anh
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Đề bài

𒁏Dựa trên gợi ý của hình ngũ giác đều (Hình 11a), tìm phép quay biến hình con sao biển thành chính nó (Hình 11b).

Phương pháp giải - Xem chi tiết

Phép quay thuận chiều \({\alpha ^o}\)(0o < \({\alpha ^o}\)< 360oꦗ) tâm O giữ nguyên điểm O, biến điểm M khác điểm O thành điểm M’ thuộc đường tròn (O; OM) sao cho tia OM quay thuận chiều kim đồng hồ đến tia OM’ thì điểm M tạo nên cung MM’ có số đo \({\alpha ^o}\).

Tương tự cho phép quay ngược chiều \({\alpha ^o}\) tâm O.

Lời giải chi tiết

♏Ta thấy hình con sao biển là hình phẳng đều tương tự ngũ giác đều tâm O.

Các phép quay biến hình con sao biển thành chính nó là phép quay 72o, 144o, 216o hoặc 360o tâm O cùng chiều hoặc ngược chiều kim đồng hồ.

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Tham Gia Group Dành Cho Lớp 9 - Ôn Thi Vào Lớp 10 Miễn Phí

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