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Giải bài 7.1 trang 26 sách bài tập toán 11 - Kết nối tri thức với cuộc sống

Cho hình chóp có đáy là hình bình hành

𝐆Tổng 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 hình chóp S.ABCD có đáy ABCD là hình bình hành, tam giác SAD là tam giác đều và M là trung điểm của cạnh AD. Tính góc giữa hai đường thẳng BC và SA, BC và SM.

Phương pháp giải - Xem chi tiết

Từ \(O\) dựng các đường thẳng \(d_1',d_2'\) lần lượt song song  có thể trùng nếu \(O\) nằm trên một trong hai đường thẳngvới \({d_1}\) và \({d_2}\). Góc giữa hai đường thẳng  \(d_1',d_2'\)chính là góc giữa hai đường thẳng\({d_1},{d_2}\). Sử dụng tính chất của tam giác cân và đều.

Lời giải chi tiết

Vì BC // AD nên\(\left( {BC,SA} \right) = \left( {AD,SA} \right) = \widehat {SAD} = {60^ \circ }\) và \(\left( {BC,SM} \right) = \left( {AD,SM} \right) = {90^ \circ }\).

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