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Giải bài 1.15 trang 20 Chuyên đề học tập Toán 11 Kết nối tri thức

Bằng quan sát Hình 1.32, hãy chỉ ra một cách cắt hình đó thành ba phần giống nhau.

🎃Tổng hợp đề thi học kì 2 lớp 11 tất cả các môn - Kết nối tri thức

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

Bằng quan sát Hình 1.32, hãy chỉ ra một cách cắt hình đó thành ba phần giống nhau.

 

Phương pháp giải - Xem chi tiết

Trong mặt phẳng, cho điểm O cố định và góc lượng giác \(\varphi \) không đổi. Phép biến hình biến điểm O thành điểm O và biến mỗi điểm M khác O thành M’ sao cho \(OM = OM'\) và góc lượng giác \(\left( {OM,OM'} \right) = \varphi \) được gọi là phép quay tâm O với góc quay \(\varphi \), kí hiệu \({Q_{\left( {O,\varphi } \right)}}\). O gọi là tâm quay, \(\varphi \) gọi là góc quay.

Lời giải chi tiết

Ta có thể chia Hình 1.32 thành ba phần giống nhau bằng cách cắt theo đường màu đỏ như hình vẽ trên ( \(\widehat {AOB} = \widehat {BOC} = \widehat {COA} = {120^o}\)).Sử dụng phép quay \({Q_{\left( {O,{\rm{ }}120^\circ } \right)}}\;\)để thấy rõ các phần giống nhau của hình.

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