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Hỏi gia sư
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Giải bài tập
/ Lớp 12 / Toán học /
Bài 1: Khái niệm về mặt tròn xoay
Bài 1: Khái niệm về mặt tròn xoay
Hướng dẫn giải Hoạt động 3 (Trang 38 SGK Toán Hình học 12)
<p><strong class="content_question">Đề bài</strong></p> <p>Cho hình lập phương <math xmlns="http://www.w3.org/1998/Math/MathML"><mi>A</mi><mi>B</mi><mi>C</mi><mi>D</mi><mo>.</mo><mi>A</mi><mo>'</mo><mi>B</mi><mo>'</mo><mi>C</mi><mo>'</mo><mi>D</mi><mo>'</mo></math> cạnh <em>a</em> . Tính diện tích xung quanh của hình trụ và thể tích của khối trụ</p> <p>có hai đáy là hai hình tròn ngoại tiếp hai hình vuông <math xmlns="http://www.w3.org/1998/Math/MathML"><mi>A</mi><mi>B</mi><mi>C</mi><mi>D</mi></math> và <math xmlns="http://www.w3.org/1998/Math/MathML"><mi>A</mi><mo>'</mo><mi>B</mi><mo>'</mo><mi>C</mi><mo>'</mo><mi>D</mi><mo>'</mo></math> .</p> <p><strong class="content_detail">Lời giải chi tiết</strong></p> <p><img src="data:image/png;base64,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" alt="" width="229" height="203" /><img src="https://img.loigiaihay.com/picture/2018/0909/bai-3-trang-38.PNG" alt="" width="207" height="198" /></p> <p>Biểu diễn đường tròn ngoại tiếp hình vuông <math xmlns="http://www.w3.org/1998/Math/MathML"><mi>A</mi><mi>B</mi><mi>C</mi><mi>D</mi></math> cạnh<em> a</em> như hình vẽ</p> <p>Khi đó: Tâm đường tròn là giao điểm 2 đường chéo.</p> <p>Bán kính đường tròn <math xmlns="http://www.w3.org/1998/Math/MathML"><mo>=</mo><mi>r</mi><mo>=</mo><mi>I</mi><mi>A</mi><mo>=</mo><mfrac><mrow><mi>a</mi><msqrt><mn>2</mn></msqrt></mrow><mn>2</mn></mfrac></math></p> <p>Diện tích đường tròn là: <math xmlns="http://www.w3.org/1998/Math/MathML"><mi>π</mi><msup><mi>r</mi><mn>2</mn></msup><mo>=</mo><mfrac><mrow><mi>π</mi><msup><mi>a</mi><mn>2</mn></msup></mrow><mn>2</mn></mfrac></math></p> <p><span id="MathJax-Element-9-Frame" class="mjx-chtml MathJax_CHTML" style="margin: 0px; padding: 1px 0px; display: inline-block; line-height: 0; text-indent: 0px; text-align: left; text-transform: none; font-style: normal; font-weight: normal; font-size: 21.78px; letter-spacing: normal; overflow-wrap: normal; word-spacing: normal; white-space: nowrap; float: none; direction: ltr; max-width: none; max-height: none; min-width: 0px; min-height: 0px; border: 0px; position: relative;" tabindex="0" role="presentation" data-mathml="<math xmlns="http://www.w3.org/1998/Math/MathML"><mo stretchy="false">&#x21D2;</mo></math>"><span id="MJXc-Node-91" class="mjx-math" aria-hidden="true"><span id="MJXc-Node-92" class="mjx-mrow"><span id="MJXc-Node-93" class="mjx-mo"><span class="mjx-char MJXc-TeX-main-R">⇒</span></span></span></span></span> Diện tích xung quanh của hình trụ thỏa mãn đề bài <math xmlns="http://www.w3.org/1998/Math/MathML"><mfenced><mrow><mi>l</mi><mo>=</mo><mi>a</mi></mrow></mfenced></math> là:</p> <p><math xmlns="http://www.w3.org/1998/Math/MathML"><msub><mo largeop="true">S</mo><mrow><mi>x</mi><mi>q</mi></mrow></msub><mo>=</mo><mn>2</mn><mi>π</mi><mi>r</mi><mi>l</mi><mo>=</mo><mn>2</mn><mi>π</mi><mi>a</mi><mfrac><msqrt><mn>2</mn></msqrt><mn>2</mn></mfrac><mi>a</mi><mo>=</mo><mi>π</mi><msup><mi>a</mi><mn>2</mn></msup><msqrt><mn>2</mn></msqrt></math></p> <p>Diện tích khối trụ thỏa mãn đề bài <math xmlns="http://www.w3.org/1998/Math/MathML"><mfenced><mrow><mi>h</mi><mo>=</mo><mi>a</mi></mrow></mfenced></math> là:</p> <p><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>V</mi><mo>=</mo><mi>B</mi><mo>.</mo><mi>h</mi><mo>=</mo><mfrac><mrow><mi mathvariant="normal">π</mi><msup><mi>a</mi><mn>2</mn></msup></mrow><mn>2</mn></mfrac><mi>a</mi><mo>=</mo><mfrac><mrow><mi mathvariant="normal">π</mi><msup><mi>a</mi><mn>3</mn></msup></mrow><mn>2</mn></mfrac></math></p> <p> </p>
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Hướng dẫn giải Bài 6 (Trang 39 SGK Toán Hình học 12)
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Hướng dẫn giải Bài 7 (Trang 39 SGK Toán Hình học 12)
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Hướng dẫn giải Bài 8 (Trang 40 SGK Toán Hình học 12)
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Hướng dẫn giải Bài 9 (Trang 40 SGK Toán Hình học 12)
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Hướng dẫn giải Bài 10 (Trang 40 SGK Toán Hình học 12)
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