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Giải mục 1 trang 15 Chuyên đề học tập Toán 11 - Chân trời sáng tạo

Cho đường thẳng d. Gọi f là quy tắc xác định như sau:

𝓰Tổng 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 đường thẳng d. Gọi f là quy tắc xác định như sau:

🧸a) Với điểm M không thuộc d, xác định điểm M’ sao cho d là đường trung trực của MM’ (Hình 1).

🦄b) Với điểm M thuộc d thì f biến điểm M thành chính nó.

Hỏi f có phải là phép biến hình hay không?

 

Phương pháp giải - Xem chi tiết

Phép biến hình f trong mặt phẳng là một quy tắc cho tương ứng với mỗi điểm M với duy nhất một điểm M’. Điểm M’ được gọi là ảnh của điểm M qua phép biến hình f, kí hiệu \(M' = f(M)\).

Lời giải chi tiết

Theo đề, ta có f(M) = M’.

𝓡Ta thấy f là quy tắc sao cho ứng với mỗi điểm M, ta đều xác định được duy nhất một điểm M’.

Vậy f là một phép biến hình.

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

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