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Câu 9 trang 96 SGK Hình học 11 Nâng cao

Cho hình chóp S.ABC có SA = SB = SC và. Chứng minh rằng SA ⊥ BC, SB ⊥ AC, SC ⊥ AB.
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Đề bài

Cho hình chóp S.ABC có SA = SB = SC và \(\widehat {ASB} = \widehat {BSC} = \widehat {CSA}\). Chứng minh rằng SA ⊥ BC, SB ⊥ AC, SC ⊥ AB.
 

Phương pháp giải - Xem chi tiết

Thực hiện nhân vô hướng các véc tơ chỉ phương của các đường thẳng. Chú ý: \(SA \bot BC \Leftrightarrow \overrightarrow {SA} .\overrightarrow {BC}  = 0\)
 

Lời giải chi tiết

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