Hướng dẫn Giải Bài 5 (Trang 61, SGK Toán Giải tích 12)

Hướng dẫn giải Bài 5 (Trang 61 SGK Toán Giải Tích 12)

Bài 5 (Trang 61 SGK Toán Giải Tích 12): Hãy so sánh các cặp số sau: a) <math xmlns="http://www.w3.org/1998/Math/MathML"><msup><mfenced><mrow><mn>3</mn><mo>,</mo><mn>1</mn></mrow></mfenced><mrow><mn>7</mn><mo>,</mo><mn>2</mn></mrow></msup><mo> </mo><mi>và</mi><mo> </mo><msup><mfenced><mrow><mn>4</mn><mo>,</mo><mn>3</mn></mrow></mfenced><mrow><mn>7</mn><mo>,</mo><mn>2</mn></mrow></msup></math>; b) <math xmlns="http://www.w3.org/1998/Math/MathML"><msup><mfenced><mfrac><mn>10</mn><mn>11</mn></mfrac></mfenced><mrow><mn>2</mn><mo>,</mo><mn>3</mn></mrow></msup><mo> </mo><mi>và</mi><mo> </mo><msup><mfenced><mfrac><mn>12</mn><mn>11</mn></mfrac></mfenced><mrow><mn>2</mn><mo>,</mo><mn>3</mn></mrow></msup></math>; c) <math xmlns="http://www.w3.org/1998/Math/MathML"><msup><mfenced><mrow><mn>0</mn><mo>,</mo><mn>3</mn></mrow></mfenced><mrow><mn>0</mn><mo>,</mo><mn>3</mn></mrow></msup><mo> </mo><mi>và</mi><mo> </mo><msup><mfenced><mrow><mn>0</mn><mo>,</mo><mn>2</mn></mrow></mfenced><mrow><mn>0</mn><mo>,</mo><mn>3</mn></mrow></msup></math>; Hướng dẫn giải: a) Vì <math xmlns="http://www.w3.org/1998/Math/MathML"><mn>3</mn><mo>,</mo><mn>1</mn><mo><</mo><mn>4</mn><mo>,</mo><mn>3</mn></math> nên <math xmlns="http://www.w3.org/1998/Math/MathML"><mn>3</mn><mo>,</mo><msup><mn>1</mn><mrow><mn>7</mn><mo>,</mo><mn>2</mn></mrow></msup><mo> </mo><mo><</mo><mo> </mo><mn>4</mn><mo>,</mo><msup><mn>3</mn><mrow><mn>7</mn><mo>,</mo><mn>2</mn></mrow></msup></math> b) <math xmlns="http://www.w3.org/1998/Math/MathML"><mfrac><mn>10</mn><mn>11</mn></mfrac><mo><</mo><mfrac><mn>12</mn><mn>11</mn></mfrac></math> nên <math xmlns="http://www.w3.org/1998/Math/MathML"><msup><mfenced><mfrac><mn>10</mn><mn>11</mn></mfrac></mfenced><mrow><mn>2</mn><mo>,</mo><mn>3</mn></mrow></msup><mo><</mo><msup><mfenced><mfrac><mn>12</mn><mn>11</mn></mfrac></mfenced><mrow><mn>2</mn><mo>,</mo><mn>3</mn></mrow></msup></math> c) <math xmlns="http://www.w3.org/1998/Math/MathML"><mn>0</mn><mo>,</mo><mn>3</mn><mo>></mo><mn>0</mn><mo>,</mo><mn>2</mn></math> nên <math xmlns="http://www.w3.org/1998/Math/MathML"><msup><mrow><mo>(</mo><mn>0</mn><mo>,</mo><mn>3</mn><mo>)</mo></mrow><mrow><mn>0</mn><mo>,</mo><mn>3</mn></mrow></msup><mo> </mo><mo>></mo><mo> </mo><msup><mrow><mo>(</mo><mn>0</mn><mo>,</mo><mn>2</mn><mo>)</mo></mrow><mrow><mn>0</mn><mo>,</mo><mn>3</mn></mrow></msup></math>