Cho hình chóp tứ giác \(S.ABCD\), \(AC\) và \(BD\) cắt nhau tại \(O\). Giao tuyến của hai mặt phẳng \(\left( SAC \right)\) và \(\left( SBD \right)\) là đường thẳng?
qua \(S\) và song song với \(AB\).
\(AC\).
qua \(S\) và song song với \(AB\).
\(SO\).
Hãy suy nghĩ và trả lời câu hỏi trước khi xem đáp án
Ta có:\(S\in \left( SAC \right)\cap \left( SBD \right)\).
Trong \(\left( ABCD \right)\), gọi\(O=AC\cap BD\) thì
\(\left\{ \begin{align} & O\in AC\subset \left( SAC \right)\Rightarrow O\in \left( SAC \right) \\ & O\in BD\subset \left( SBD \right)\Rightarrow O\in \left( SBD \right) \\ \end{align} \right.\)
Vậy\(SO=\left( SAC \right)\cap \left( SBD \right)\).
Chọn đáp án D.
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https://tvsthpt.dlib.vn/app/doc-sach-ebook/d00b996754ec
Và trả lời câu hỏi sau:
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