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Giải bài 1.17 trang 23 Chuyên đề học tập Toán 11 Kết nối tri thức

Bằng quuan sát, hãy chỉ ra trong mỗi hình trong Hình 1.37 một phép dời hình biến hình vuông 𝒜 thành hình vuông 𝒜', đồng thời biến hình bình hành ℬ thành hình bình hành ℬ'.

ꦗTổng 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 quuan sát, hãy chỉ ra trong mỗi hình trong Hình 1.37 một phép dời hình biến hình vuông 𝒜 thành hình vuông 𝒜', đồng thời biến hình bình hành ℬ thành hình bình hành ℬ'.

Phương pháp giải - Xem chi tiết

Dựa vào kiến thức đã học về các phép biến hình để trả lời

Lời giải chi tiết

a) Phép tịnh tiến theo vectơ \(2\vec u\) biến hình vuông 𝒜 thành hình vuông 𝒜', đồng thời biến hình vuông ℬ thành hình vuông ℬ'.

b) Phép đối xứng trục ∆ biến hình vuông 𝒜 thành hình vuông 𝒜', đồng thời biến hình vuông ℬ thành hình vuông ℬ'.

c) Phép quay tâm O góc – 90° biến hình vuông 𝒜 thành hình vuông 𝒜', đồng thời biến hình vuông ℬ thành hình vuông ℬ'.

d) Phép dời hình có được bằng cách thực hiện liên tiếp hai phép dời hình  và \({T_{2\vec u}}\) ( trước, \({T_{2\vec u}}\) sau) ta được phép dời hình biến hình vuông 𝒜 thành hình vuông 𝒜', đồng thời biến hình vuông ℬ thành hình vuông ℬ'.

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

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