Ôn tập chương 8
Hướng dẫn giải Bài 3 (Trang 98 SGK Toán 6, Bộ Chân Trời Sáng Tạo, Tập 2)
<p><strong>B&agrave;i 3 (Trang 98 SGK To&aacute;n lớp 6 - Bộ Ch&acirc;n trời s&aacute;ng tạo, Tập 2):</strong></p> <p>Trong h&igrave;nh vẽ dưới đ&acirc;y, h&atilde;y kể t&ecirc;n tất cả c&aacute;c g&oacute;c. D&ugrave;ng thước đo v&agrave; sắp xếp số đo của ch&uacute;ng theo thứ tự giảm dần.</p> <p><img class="wscnph" style="max-width: 100%;" src="https://static.colearn.vn:8413/v1.0/upload/library/12032022/b2-HiLAhp.png" /></p> <p><em><strong>Hướng dẫn giải:</strong></em></p> <p>Tất cả c&aacute;c g&oacute;c trong h&igrave;nh tr&ecirc;n v&agrave; số đo c&aacute;c g&oacute;c đ&oacute; như sau:</p> <ul> <li>Đỉnh A: <ul> <li>Tia AB, AC, AD.</li> <li>G&oacute;c tạo th&agrave;nh: BAD, CAD, BAC.</li> <li>Số đo c&aacute;c g&oacute;c tạo th&agrave;nh:&nbsp;<math xmlns="http://www.w3.org/1998/Math/MathML"><mover><mrow><mi>B</mi><mi>A</mi><mi>D</mi></mrow><mo>^</mo></mover><mo>=</mo><mn>72</mn><mo>&#176;</mo><mo>;</mo><mo>&#160;</mo><mover><mrow><mi>C</mi><mi>A</mi><mi>D</mi></mrow><mo>^</mo></mover><mo>=</mo><mn>22</mn><mo>&#176;</mo><mo>;</mo><mo>&#160;</mo><mover><mrow><mi>B</mi><mi>A</mi><mi>C</mi></mrow><mo>^</mo></mover><mo>=</mo><mn>94</mn><mo>&#176;</mo></math>.</li> </ul> </li> <li>Đỉnh B: <ul> <li>Tia BA, BC (tia BC tr&ugrave;ng với tia BD).</li> <li>G&oacute;c tạo th&agrave;nh: ABC.</li> <li>Số đo c&aacute;c g&oacute;c tạo th&agrave;nh:&nbsp;<math xmlns="http://www.w3.org/1998/Math/MathML"><mover><mrow><mi>A</mi><mi>B</mi><mi>C</mi></mrow><mo>^</mo></mover><mo>=</mo><mn>55</mn><mo>&#176;</mo></math>.</li> </ul> </li> <li>Đỉnh C:&nbsp; <ul> <li>Tia CA, CB (tia CB tr&ugrave;ng với tia CD)</li> <li>G&oacute;c tạo th&agrave;nh: ACB.</li> <li>Số đo c&aacute;c g&oacute;c tạo th&agrave;nh:&nbsp;<math xmlns="http://www.w3.org/1998/Math/MathML"><mover><mrow><mi>A</mi><mi>C</mi><mi>B</mi></mrow><mo>^</mo></mover><mo>=</mo><mn>55</mn><mo>&#176;</mo></math>.</li> </ul> </li> <li>Đỉnh D: <ul> <li>Tia DA, DB, DC.</li> <li>G&oacute;c tạo th&agrave;nh: ADB, ADC, BDC.</li> <li>Số đo c&aacute;c g&oacute;c tạo th&agrave;nh:&nbsp;<math xmlns="http://www.w3.org/1998/Math/MathML"><mover><mrow><mi>A</mi><mi>D</mi><mi>B</mi></mrow><mo>^</mo></mover><mo>=</mo><mn>53</mn><mo>&#176;</mo><mo>;</mo><mo>&#160;</mo><mover><mrow><mi>A</mi><mi>D</mi><mi>C</mi></mrow><mo>^</mo></mover><mo>=</mo><mn>127</mn><mo>&#176;</mo><mo>;</mo><mo>&#160;</mo><mover><mrow><mi>B</mi><mi>D</mi><mi>C</mi></mrow><mo>^</mo></mover><mo>=</mo><mn>180</mn><mo>&#176;</mo><mo>.</mo></math></li> </ul> </li> </ul> <p>Do đ&oacute;,&nbsp;<math xmlns="http://www.w3.org/1998/Math/MathML"><mover><mrow><mi>B</mi><mi>A</mi><mi>D</mi></mrow><mo>^</mo></mover><mo>=</mo><mn>72</mn><mo>&#176;</mo><mo>;</mo><mo>&#160;</mo><mover><mrow><mi>C</mi><mi>A</mi><mi>D</mi></mrow><mo>^</mo></mover><mo>=</mo><mn>22</mn><mo>&#176;</mo><mo>;</mo><mo>&#160;</mo><mover><mrow><mi>B</mi><mi>A</mi><mi>C</mi></mrow><mo>^</mo></mover><mo>=</mo><mn>94</mn><mo>&#176;</mo><mo>;</mo><mo>&#160;</mo><mover><mrow><mi>A</mi><mi>C</mi><mi>B</mi></mrow><mo>^</mo></mover><mo>=</mo><mn>55</mn><mo>&#176;</mo><mo>;</mo><mo>&#160;</mo><mover><mrow><mi>A</mi><mi>D</mi><mi>B</mi></mrow><mo>^</mo></mover><mo>=</mo><mn>53</mn><mo>&#176;</mo><mo>;</mo><mo>&#160;</mo><mover><mrow><mi>A</mi><mi>D</mi><mi>C</mi></mrow><mo>^</mo></mover><mo>=</mo><mn>127</mn><mo>&#176;</mo><mo>;</mo><mo>&#160;</mo><mover><mrow><mi>B</mi><mi>D</mi><mi>C</mi></mrow><mo>^</mo></mover><mo>=</mo><mn>180</mn><mo>&#176;</mo><mo>.</mo></math></p> <p>V&igrave;&nbsp;<math xmlns="http://www.w3.org/1998/Math/MathML"><mn>180</mn><mo>&#176;</mo><mo>&#62;</mo><mn>127</mn><mo>&#176;</mo><mo>&#62;</mo><mn>94</mn><mo>&#176;</mo><mo>&#62;</mo><mn>72</mn><mo>&#176;</mo><mo>&#62;</mo><mn>55</mn><mo>&#176;</mo><mo>&#62;</mo><mn>53</mn><mo>&#176;</mo><mo>&#62;</mo><mn>31</mn><mo>&#62;</mo><mn>22</mn><mo>&#176;</mo><mo>.</mo></math></p> <p>N&ecirc;n&nbsp;<math xmlns="http://www.w3.org/1998/Math/MathML"><mover><mrow><mi>B</mi><mi>D</mi><mi>C</mi></mrow><mo>^</mo></mover><mo>&#62;</mo><mover><mrow><mi>A</mi><mi>D</mi><mi>C</mi></mrow><mo>^</mo></mover><mo>&#62;</mo><mover><mrow><mi>B</mi><mi>A</mi><mi>C</mi></mrow><mo>^</mo></mover><mo>&#62;</mo><mover><mrow><mi>B</mi><mi>A</mi><mi>D</mi></mrow><mo>^</mo></mover><mo>&#62;</mo><mover><mrow><mi>A</mi><mi>B</mi><mi>C</mi></mrow><mo>^</mo></mover><mo>&#62;</mo><mover><mrow><mi>A</mi><mi>D</mi><mi>B</mi></mrow><mo>^</mo></mover><mo>&#62;</mo><mover><mrow><mi>A</mi><mi>C</mi><mi>B</mi></mrow><mo>^</mo></mover><mo>&#62;</mo><mover><mrow><mi>C</mi><mi>A</mi><mi>D</mi></mrow><mo>^</mo></mover><mo>.</mo></math></p> <p>Vậy c&aacute;c g&oacute;c tạo th&agrave;nh trong h&igrave;nh tr&ecirc;n l&agrave;: <math xmlns="http://www.w3.org/1998/Math/MathML"><mover><mrow><mi>B</mi><mi>D</mi><mi>C</mi></mrow><mo>^</mo></mover><mo>,</mo><mo>&#160;</mo><mover><mrow><mi>A</mi><mi>D</mi><mi>C</mi></mrow><mo>^</mo></mover><mo>,</mo><mo>&#160;</mo><mover><mrow><mi>B</mi><mi>A</mi><mi>C</mi></mrow><mo>^</mo></mover><mo>,</mo><mo>&#160;</mo><mover><mrow><mi>B</mi><mi>A</mi><mi>D</mi></mrow><mo>^</mo></mover><mo>,</mo><mo>&#160;</mo><mover><mrow><mi>A</mi><mi>B</mi><mi>C</mi></mrow><mo>^</mo></mover><mo>,</mo><mo>&#160;</mo><mover><mrow><mi>A</mi><mi>D</mi><mi>B</mi></mrow><mo>^</mo></mover><mo>,</mo><mo>&#160;</mo><mover><mrow><mi>A</mi><mi>C</mi><mi>B</mi></mrow><mo>^</mo></mover><mo>,</mo><mo>&#160;</mo><mover><mrow><mi>C</mi><mi>A</mi><mi>D</mi></mrow><mo>^</mo></mover><mo>.</mo></math></p>
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