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Giải bài 3 trang 23 Chuyên đề học tập Toán 11 Cánh diều

Cho hai đường thẳng d và d' song song với nhau.

𝓡Tổng hợp đề thi học kì 2 lớp 11 tất cả các môn - Cánh diều

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

Cho hai đường thẳng d và d' song song với nhau. a) Chỉ ra một phép tịnh tiến biến d thành d'. b) Có bao nhiêu phép tịnh tiến biến d thành d'.

Phương pháp giải - Xem chi tiết

Sự dụng định nghĩa:  Cho vectơ \(\overrightarrow u \), phép tịnh tiến theo vectơ \(\overrightarrow u \) là phép biến hình biến điểm M thành  điểm M’ sao cho \(\overrightarrow {MM'}  = \overrightarrow u \).

Lời giải chi tiết

a) Lấy hai điểm A và B bất kì theo thứ tự thuộc d và d'. Khi đó phép tịnh tiến theo vectơ \(\overrightarrow {AB} \) sẽ biến d thành d'.

 

b) Vì có vô số cách chọn \(\;A\; \in \;d,B\; \in \;d'\;\) nên có vô số phép tịnh tiến biến d thành d'.

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

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