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Bài 4 trang 127 SGK Toán 11 tập 1 - Chân trời sáng tạo

Cho hình chóp \(S.ABCD\) có đáy \(ABCD\) là hình bình hành. Gọi \(I,J,E,F\) lần lượt là trung điểm \(SA,SB,SC,SD\). Trong các đường thẳng sau, đường nào không song song với \(IJ\)?

ꦚTổng 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

Cho hình chóp \(S.ABCD\) có đáy \(ABCD\) là hình bình hành. Gọi  \(I,J,E,F\) lần lượt là trung điểm \(SA,SB,SC,SD\). Trong các đường thẳng sau, đường nào không song song với \(IJ\)?

A. \(EF\). B. \(DC\). C. \(A{\rm{D}}\). D. \(AB\).

Phương pháp giải - Xem chi tiết

Sử dụng tính chất đường trung bình của tam giác.

Lời giải chi tiết

Ta có: \(I\) là trung điểm của \(SA\)\(J\) là trung điểm của \(SB\)\( \Rightarrow IJ\) là đường trung bình của tam giác \(SAB\)\( \Rightarrow IJ\parallel AB\)\(E\) là trung điểm của \(SC\)\(F\) là trung điểm của \(SD\)\( \Rightarrow EF\) là đường trung bình của tam giác \(SC{\rm{D}}\)\( \Rightarrow EF\parallel C{\rm{D}}\)Mà \(AB\parallel C{\rm{D}}\).Vậy \(IJ\parallel EF\parallel AB\parallel C{\rm{D}}\).Vậy \(AD\) không song song với \(IJ\)Chọn C.

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

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