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Giải bài 4.22 trang 63 sách bài tập toán 11 - Kết nối tri thức với cuộc sống

Cho hai hình bình hành ABCD và ABEF không cùng nằm trong một mặt phẳng. Chứng minh rằng

༒Tổng 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

Cho hai hình bình hành ABCD và ABEF không cùng nằm trong một mặt phẳng. Chứng minh rằng a) CD//(ABEF)               b) EF//(ABCD)              c) CE//(ADF) (Gợi ý: Theo SGK Bài 11, Luyện tập 3, ta đã biết CEFD là hình bình hành)

Phương pháp giải - Xem chi tiết

Nếu đường thẳng a không nằm trong mặt phẳng (P) và a song song với một đường thẳng nằm trong mặt phẳng (P) thì a song song với (P)

Lời giải chi tiết

a) Vì ABCD là hình bình hành nên AB//CD, mà \(AB \subset \left( {ABEF} \right)\) nên CD//(ABEF)b) Vì ABEF là hình bình hành nên EF//AB, mà \(AB \subset \left( {ABCD} \right)\) nên EF//(ABCD)

ꦑc) Vì CEFD là hình bình hành nên CE//DF, mà \(DF \subset \left( {ADF} \right)\) nên CE//(ADF)

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

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