Cho Hình Chóp S. ABCD Có đáy Là Hình Vuông Cạnh Bằng 2a . Mặt ...

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Câu hỏi Toán học

Cho hình chóp S. ABCD có đáy là hình vuông cạnh bằng 2a . Mặt bên SAB là tam giác đều và nằm trong mặt phẳng vuông góc với mặt phẳng ABC​D . Thể tích của khối chóp S. ABCD là A.4a33 . B.a332 . C.a334 . D.4a333 . Đáp án và lời giải Đáp án:D Lời giải:Lời giải Chọn D Gọi H là trung điểm của AB , ta có SH⊥AB . Mà SAB⊥ABC​D theo giao tuyến là đường thẳng AB nên SH⊥ABCD . Thể tích khối chóp S. ABCD bằng V=13SABCD. SH=13. 2a2. 2a32=4a333 .

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Bài tập trắc nghiệm 15 phút Thể tích khối chóp liên quan một mặt bên vuông góc đáy. - Toán Học 12 - Đề số 3

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Một số câu hỏi khác cùng bài thi.

• 1.Cho hình chóp có đáy là tam giác đều cạnh , tam giác vuông tại , tam giác vuông tại . Biết góc giữa hai mặt phẳng và bằng . Tính thể tích khối chóp theo .
• Cho hình chóp S. ABCD có đáy ABCD là hình chữ nhật, mặt bên SAD là tam giác đều cạnh 2a và nằm trong mặt phẳng vuông góc với mặt phẳng (ABCD) . Góc giữa mặt phẳng (SBC) và mặt phẳng (ABCD) là 30° . Thể tích của khối chóp S. ABCD là:
• [2H1-3. 2-2] Cho hình chóp tứ giác S. ABCD có đáy ABCD là hình vuông cạnh a , mặt bên SAB là một tam giác đều và nằm trong mặt phẳng vuông góc với đáy ABCD . Tính thể tích khối chóp S. ABCD .
• Cho khối chóp S. ABC có đáy là tam giác vuông cân tại A, SA vuông góc với đáy và SA=BC=a3 . Tính thể tích khối chóp S. ABC.
• 4. Cho khối chóp có đáy là hình vuông cạnh . Tam giác cân tại và nằm trong mặt phẳng vuông góc với đáy. Tính thể tích khối chóp biết góc giữa đường thẳng và mặt phẳng bằng .
• Cho khối chóp O. ABC có ba cạnh OA , OB , OC đôi một vuông góc với nhau. Biết OA=1 , OB=2 và thể tích của khối chóp O. ABC bằng 3 . Độ dài OC bằng
• Cho hình chóp có đáy ABCD là hình chữ nhật, AB=a , AD=2a , SA vuông góc với đáy, SA=a3 . Thể tích của khối chóp S. ABCD
• Cho hình chóp S. ABCD có đáy là hình vuông cạnh a , cạnh bên SA vuông góc với mặt phẳng đáy và SA=a6 . Tính thể tích V của khối chóp S. ABCD .
• Cho hình chóp S. ABCD có đáy là hình vuông cạnh bằng 2a . Mặt bên SAB là tam giác đều và nằm trong mặt phẳng vuông góc với mặt phẳng ABC​D . Thể tích của khối chóp S. ABCD là
• Cho hình chóp tứ giác S. ABCD có đáy ABCD là hình vuông cạnh 6 , mặt bên SAB là một tam giác đều và nằm trong mặt phẳng vuông góc với đáy ABCD . Tính thể tích khối chóp 7

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