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Câu hỏi

Cho hình chóp có đáy là tam giác vuông cân tại với biết vuông góc với mặt phẳng và hợp với một góc . Thể tích của khối chóp bằng

Cho hình chóp  có đáy  là tam giác vuông cân tại  với biết vuông góc với mặt phẳng  và  hợp với  một góc . Thể tích của khối chóp bằng

 

T. ThuỳTrangNguyễn

Giáo viên

Xác nhận câu trả lời

Giải thích

vuông cân tại có Mà vuông tại có S B A ^ = 60 ° " src="data:image/jpeg;charset=utf-8;base64,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" style="width: 68.00px; height: 16.00px; margin-left: 0.00px; margin-top: 0.00px; transform: rotate(0.00rad) translateZ(0px); -webkit-transform: rotate(0.00rad) translateZ(0px);" title="stack S B A with hat on top equals 60 degree">

 

vuông cân tại  có

vuông tại  có <math xmlns="http://www.w3.org/1998/Math/MathML"><mover><mrow><mi>S</mi><mi>B</mi><mi>A</mi></mrow><mo>^</mo></mover><mo>=</mo><mn>60</mn><mo>&#xB0;</mo></math>

1

Câu hỏi tương tự

Cho hình hộp ABCD.A’B’C’D’ có đáy ABCD là hình thoi cạnh a, và . Hình chiếu vuông góc của A’ lên mặt phẳng ABCD trùng với giao điểm của AC và BD. Tính theo a thể tích khối hộp ABCD.A’B’C’D’.

0

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