Ôn tập Chương II
Hướng dẫn Giải bài 14 (Trang 51, SGK Toán 10, Tập 1)
<p>Chọn phương &aacute;n đ&uacute;ng:</p> <p><strong>C&acirc;u hỏi: </strong>Parabol&nbsp;<math xmlns="http://www.w3.org/1998/Math/MathML"><mi>y</mi><mo>=</mo><mn>3</mn><msup><mi>x</mi><mn>2</mn></msup><mo>-</mo><mn>2</mn><mi>x</mi><mo>+</mo><mn>1</mn></math> c&oacute; đỉnh l&agrave;:</p> <p><math xmlns="http://www.w3.org/1998/Math/MathML"><mo>(</mo><mi>A</mi><mo>)</mo><mo>&#160;</mo><mi>I</mi><mo>(</mo><mfrac><mrow><mo>-</mo><mn>1</mn></mrow><mn>3</mn></mfrac><mo>;</mo><mfrac><mn>2</mn><mn>3</mn></mfrac><mo>)</mo><mo>&#160;</mo><mo>;</mo><mspace linebreak="newline"/><mo>(</mo><mi>B</mi><mo>)</mo><mo>&#160;</mo><mi>I</mi><mo>(</mo><mfrac><mrow><mo>-</mo><mn>1</mn></mrow><mn>3</mn></mfrac><mo>;</mo><mfrac><mrow><mo>-</mo><mn>2</mn></mrow><mn>3</mn></mfrac><mo>)</mo><mo>&#160;</mo><mo>;</mo><mspace linebreak="newline"/><mo>(</mo><mi>C</mi><mo>)</mo><mo>&#160;</mo><mi>I</mi><mo>(</mo><mfrac><mn>1</mn><mn>3</mn></mfrac><mo>;</mo><mfrac><mrow><mo>-</mo><mn>2</mn></mrow><mn>3</mn></mfrac><mo>)</mo><mo>&#160;</mo><mo>;</mo><mspace linebreak="newline"/><mo>(</mo><mi>D</mi><mo>)</mo><mo>&#160;</mo><mi>I</mi><mo>(</mo><mfrac><mn>1</mn><mn>3</mn></mfrac><mo>;</mo><mfrac><mn>2</mn><mn>3</mn></mfrac><mo>)</mo><mo>&#160;</mo><mo>.</mo></math></p> <p><strong>Hướng dẫn giải:</strong></p> <p>Parabol&nbsp;<math xmlns="http://www.w3.org/1998/Math/MathML"><mi>y</mi><mo>=</mo><mn>3</mn><msup><mi>x</mi><mn>2</mn></msup><mo>-</mo><mn>2</mn><mi>x</mi><mo>+</mo><mn>1</mn></math> c&oacute; a = 3, b = -2 v&agrave; c = 1</p> <p>Ta c&oacute;:&nbsp;<math xmlns="http://www.w3.org/1998/Math/MathML"><mo>&#9651;</mo><mo>=</mo><msup><mi>b</mi><mn>2</mn></msup><mo>-</mo><mn>4</mn><mi>a</mi><mi>c</mi><mo>=</mo><mn>4</mn><mo>-</mo><mn>4</mn><mo>.</mo><mn>3</mn><mo>.</mo><mn>1</mn><mo>=</mo><mo>-</mo><mn>8</mn></math></p> <p>Vậy đỉnh của parabol&nbsp;<math xmlns="http://www.w3.org/1998/Math/MathML"><mi>y</mi><mo>=</mo><mn>3</mn><msup><mi>x</mi><mn>2</mn></msup><mo>-</mo><mn>2</mn><mi>x</mi><mo>+</mo><mn>1</mn></math> l&agrave;&nbsp;<math xmlns="http://www.w3.org/1998/Math/MathML"><mi>I</mi><mo>(</mo><mfrac><mrow><mo>-</mo><mi>b</mi></mrow><mrow><mn>2</mn><mi>a</mi></mrow></mfrac><mo>;</mo><mfrac><mrow><mo>-</mo><mo>&#9651;</mo></mrow><mrow><mn>4</mn><mi>a</mi></mrow></mfrac><mo>)</mo><mo>&#160;</mo><mi>h</mi><mi>a</mi><mi>y</mi><mo>&#160;</mo><mi>I</mi><mo>(</mo><mfrac><mn>1</mn><mn>3</mn></mfrac><mo>;</mo><mfrac><mn>2</mn><mn>3</mn></mfrac><mo>)</mo></math></p> <p>=&gt;<strong> Đ&aacute;p &aacute;n đ&uacute;ng l&agrave; D</strong></p>
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