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Giải bài 7 trang 19 Chuyên đề học tập Toán 11 Chân trời sáng tạo

Vận dụng phép đối xứng trục để vẽ nhanh bình hoa theo hướng dẫn trong Hình 14.

🌞Tổng 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

ꦑVận dụng phép đối xứng trục để vẽ nhanh bình hoa theo hướng dẫn trong Hình 14.

– Gấp đôi một tờ giấy trắng A4 theo nếp gấp d.

🅷– Mở tờ giấy ra, ở một phía của nếp gấp d, nhỏ vài giọt màu nước có màu khác nhau làm hoa và một giọt màu đen làm bình hoa.

🐽– Gấp lại tờ giấy theo nếp gấp d, chà nhẹ để màu thấm đều sang hai bên.

– Mở tờ giấy ra, ta có một bình hoa đẹp.

Tìm trục đối xứng của hình vừa vẽ.

 

Phương pháp giải - Xem chi tiết

Có một đường thẳng chia hình thành hai phần bằng nhau mà nếu “gấp” hình theo đường thẳng thì hai phần đó “chồng khít” lên nhau. Được gọi là hình có trục đối xứng và đường thẳng là trục đối xứng của nó.

Lời giải chi tiết

Lấy điểm A nằm trên hình bình hoa vừa vẽ nhưng không nằm trên đường thẳng d.Ta đặt \(A'{\rm{ }} = {\rm{ }}{Đ_d}\left( A \right).\)Khi đó A’ nằm trên hình bình hoa vừa vẽ.Lấy điểm B nằm trên hình bình hoa vừa vẽ và nằm trên đường thẳng d.Ta thấy \(B{\rm{ }} = {\rm{ }}{Đ_d}\left( B \right).\)

Tương tự như vậy, ta chọn các điểm khác bất kì nằm trên hình bình hoa vừa vẽ, ta đều xác định được ảnh của các điểm đó qua Đd trên hình bình hoa vừa vẽ.

Do đó \({Đ_d}\)  biến hình bình hoa vừa vẽ thành chính nó.Vậy đường thẳng d là trục đối xứng của hình bình hoa vừa vẽ.

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