Cho hình chóp S.ABC có đáy ABC là tam giác vuông cân tại B với AC=2a;SA vuông góc (ABC); góc giữa (SBC)(SAC) bằng 600 .Tính thể tích khối chóp S.ABC theo a?
Goi H là trung điểm AC
tam giác ABC vg cân 
BH vuông góc AC
Mà SA vg goc BH
Nên BH vg (SAC)
BH vg SC
Goi HK vg SC(KϵSC)
SC vg (BHK)
((SAC),(SBC))=(HK,BK)
Mà BH vg (SAC)BH vg HK
Nên BK=HBsin60BK=2a3
BC vg AB,BC vg SA.Nen BC vg(SAB)BC vgSB
 tam giác SBC vg ở B có BK là đường cao
1SB2 =14a2
Suy ra:SA2=SB2 -AB2=2a2bạn tính SA.Từ đó tính V hình chóp nhé

Bạn cần đăng nhập để có thể gửi đáp án

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