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Giải bài 3 trang 10 Chuyên đề học tập Toán 11 Chân trời sáng tạo

Cho phép dời hình f biến hình vuông ℋ có cạnh bằng 2 cm thành hình vuông ℋ ’. Tìm diện tích của ℋ ’.

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

Ch🌄o phép dời hình f biến hình vuông ℋ có cạnh bằng 2 cm thành hình vuông ℋ ’. Tìm diện tích của ℋ ’.

Phương pháp giải - Xem chi tiết

Phép dời hình bảo toàn: - Tính thẳng hàng của 3 điểm và thứ tự của ba điểm thẳng hàng. - Tính song song của hai đường thẳng. - Độ lớn của một góc.

Lời giải chi tiết

Giả sử ABCD là hình vuông ℋ.Khi đó ta gọi A’B’C’D’ là hình vuông ℋ ’.Theo hệ quả của phép dời hình, ta có phép dời hình f biến \(\Delta ABC\) thành  thỏa mãn .Tương tự như vậy, ta có \(\Delta ADC{\rm{ }} = {\rm{ }}\Delta A'D'C'.\)Ta có \({S_{H'}}\; = {\rm{ }}{S_{\Delta A'B'C'}}\; + {\rm{ }}{S_{\Delta A'D'C'}}\; = {\rm{ }}{S_{\Delta ABC}}\; + {\rm{ }}{S_{\Delta ADC}}\; = {\rm{ }}{S_H}\; = {\rm{ }}{2^2}\; = {\rm{ }}4{\rm{ }}(c{m^2}).\)

Vậy diện tích của ℋ ’ bằng 4 cm2.

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

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