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Trang chủ / Giải bài tập / Lớp 8 / Toán học / Bài 2: Phương Trình Bậc Nhất Một Ẩn Và Cách Giải
Bài 2: Phương Trình Bậc Nhất Một Ẩn Và Cách Giải
Hướng dẫn giải Bài 6 (Trang 9 SGK Toán Đại số 8, Tập 2)
<p>Tính di&ecirc;̣n tích S của hình thang ABCD (hình dưới) theo x bằng hai cách:</p> <p>a) Theo c&ocirc;ng thức&nbsp;<math xmlns="http://www.w3.org/1998/Math/MathML"><mi>S</mi><mo>=</mo><mi>B</mi><mi>H</mi><mo>&#160;</mo><mi>x</mi><mo>&#160;</mo><mo>(</mo><mi>B</mi><mi>C</mi><mo>+</mo><mi>D</mi><mi>A</mi><mo>)</mo><mo>:</mo><mn>2</mn></math></p> <p>b)&nbsp;<math xmlns="http://www.w3.org/1998/Math/MathML"><mi>S</mi><mo>=</mo><msub><mi>S</mi><mrow><mi>A</mi><mi>B</mi><mi>H</mi></mrow></msub><mo>+</mo><msub><mi>S</mi><mrow><mi>B</mi><mi>C</mi><mi>K</mi><mi>H</mi></mrow></msub><mo>+</mo><msub><mi>S</mi><mrow><mi>C</mi><mi>K</mi><mi>D</mi></mrow></msub></math></p> <p><img class="wscnph" src="https://static.colearn.vn:8413/v1.0/upload/library/25022022/d9e1d848-f65b-4ef4-8f29-4a2fb5819594.PNG" /></p> <p>Sau đó sử dụng giả thi&ecirc;́t S = 20 đ&ecirc;̉ thu được hai phương trình tương đương với nhau. Trong hai phương trình &acirc;́y,</p> <p>có phương trình nào là phương trình b&acirc;̣c nh&acirc;́t kh&ocirc;ng?</p> <p><strong>Giải</strong></p> <p>Theo cách thứ nh&acirc;́t, di&ecirc;̣n tích hình thang là: x(x + x +11) : 2 = 20</p> <p>Theo cách tính thứ hai:&nbsp;<math xmlns="http://www.w3.org/1998/Math/MathML"><mfrac><mn>1</mn><mn>2</mn></mfrac><mo>.</mo><mn>7</mn><mi>x</mi><mo>+</mo><msup><mi>x</mi><mn>2</mn></msup><mo>+</mo><mfrac><mn>1</mn><mn>2</mn></mfrac><mo>.</mo><mn>4</mn><mi>x</mi><mo>=</mo><mn>20</mn></math></p> <p>Ta có&nbsp;<math xmlns="http://www.w3.org/1998/Math/MathML"><mi>x</mi><mo>(</mo><mi>x</mi><mo>&#160;</mo><mo>+</mo><mo>&#160;</mo><mi>x</mi><mo>&#160;</mo><mo>+</mo><mo>&#160;</mo><mn>11</mn><mo>)</mo><mo>&#160;</mo><mo>:</mo><mo>&#160;</mo><mn>2</mn><mo>&#160;</mo><mo>=</mo><mo>&#160;</mo><mn>20</mn><mspace linebreak="newline"/><mo>&#8660;</mo><mfrac><mn>7</mn><mn>2</mn></mfrac><mi>x</mi><mo>&#160;</mo><mo>+</mo><mo>&#160;</mo><msup><mi>x</mi><mn>2</mn></msup><mo>&#160;</mo><mo>+</mo><mo>&#160;</mo><mn>2</mn><mi>x</mi><mo>&#160;</mo><mo>=</mo><mo>&#160;</mo><mn>20</mn></math></p> <p>Cả hai phương trình thu được, kh&ocirc;ng có phương trình nào đưa được v&ecirc;̀ dạng ax + b = 0 với a, b là hai hằng s&ocirc;́ và&nbsp;<math xmlns="http://www.w3.org/1998/Math/MathML"><mi>a</mi><mo>&#8800;</mo><mn>0</mn></math>.</p> <p>V&acirc;̣y trong hai phương trình kh&ocirc;ng có phương trình nào là b&acirc;̣c nh&acirc;́t</p>
Hướng dẫn Giải Bài 6 (Trang 9, SGK Toán 8, Tập 2, Phần Đại Số)
GV: GV colearn
Xem lời giải bài tập khác cùng bài
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class="n-content-exercise"> <div class="n-content-exercise"> <div class="n-content-exercise"> <div class="n-content-exercise"> <div class="n-content-exercise"> <div class="n-content-exercise"> <div class="n-content-exercise"> <div class="n-content-exercise"> <div class="n-content-exercise"> <div class="n-content-exercise"> <div class="n-content-exercise"> <div class="n-content-exercise"> <div class="n-content-exercise"> <div class="n-content-exercise"> <div class="n-content-exercise"> <div class="n-content-exercise"> <div class="n-content-exercise"> <div class="n-content-exercise"> <div class="n-content-exercise"> <div class="n-content-exercise"> <div class="n-content-exercise"> <div class="n-content-exercise"> <div class="n-content-exercise"> <div class="n-content-exercise"> <div class="n-content-exercise"> <div class="n-content-exercise"> <div class="n-content-exercise"> <div class="n-content-exercise"> <div class="n-content-exercise"> <div class="n-content-exercise"> <div class="n-content-exercise"> <div class="n-content-exercise"> <div class="n-content-exercise"> <div class="n-content-exercise"> <div class="n-content-exercise"> <div class="n-content-exercise"> <div class="n-content-exercise"> <div class="n-content-exercise"> <div class="n-content-exercise"> <div class="n-content-exercise"> <div class="n-content-exercise"> <div class="n-content-exercise"> <div class="n-content-exercise"> <div class="n-content-exercise"> <div class="n-content-exercise"> <div class="n-content-exercise"> <div class="n-content-exercise">Hướng dẫn giải Bài 7 (Trang 10 SGK Toán Đại số 8, Tập 2)</div> </div> </div> </div> </div> </div> </div> </div> </div> </div> </div> </div> </div> </div> </div> </div> </div> </div> </div> </div> </div> </div> </div> </div> </div> </div> </div> </div> </div> </div> </div> </div> </div> </div> </div> </div> </div> </div> </div> </div> </div> </div> </div> </div> </div> </div> </div> </div> </div> </div> </div> </div> </div> </div> </div> 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Xem lời giải
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class="n-content-exercise"> <div class="n-content-exercise"> <div class="n-content-exercise"> <div class="n-content-exercise">Hướng dẫn giải Bài 8 (Trang 10 SGK Toán Đại số 8, Tập 2)</div> </div> </div> </div> </div> </div> </div> </div> </div> </div> </div> </div> </div> </div> </div> </div> </div> </div> </div> </div> </div> </div> </div> </div> </div> </div> </div> </div> </div> </div> </div> </div> </div> </div> </div> </div> </div> </div> </div> </div> </div> </div> </div> </div> </div> </div> </div> </div> </div> </div> </div> </div> </div> </div> </div> </div> </div> </div> </div> </div> </div> </div> </div> </div> </div> </div> </div> </div> </div> </div> </div> </div> </div> </div> </div> </div> </div> </div> </div> </div> </div> </div> </div> </div> </div> </div> </div> </div> </div> </div> </div> </div> </div> </div> </div> </div> </div> </div> </div> </div> </div> </div> </div> </div> </div> </div> </div> </div> </div> </div> </div> </div> </div> </div> </div> </div> </div> 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