155 câu trắc nghiệm Toán 12 Cánh diều Bài 2: Giá trị lớn nhất và giá trị nhỏ nhất của hàm số có đáp án - Đề 2

A. \[5\].

B. \[ - 4\].

C. \[ - 6\].

D. \[ - 5\].

A. \(\mathop {\min }\limits_{\left[ {2\,;4} \right]} y = - 3\).

B. \(\mathop {\min }\limits_{\left[ {2\,;4} \right]} y = \frac{{19}}{3}\).

C. \(\mathop {\min }\limits_{\left[ {2\,;4} \right]} y = 6\).

D. \(\mathop {\min }\limits_{\left[ {2\,;4} \right]} y = - 2\).

A. \(f\left( b \right)\).

B. \(f\left( {\frac{{a + b}}{2}} \right)\).

C. \(f\left( a \right)\).

D. \(f\left( {\sqrt {ab} } \right)\).

A. \( - 2\).

B. \( - 4\).

C. \( - \frac{{25}}{6}\).

D. \( - 5\).

A. \(\mathop {\max }\limits_{\left[ {\frac{3}{2};\,3} \right]} y = \frac{{10}}{3}\), \(\mathop {\min }\limits_{\left[ {\frac{3}{2};\,3} \right]} y = \frac{{13}}{6}\).

B. \(\mathop {\max }\limits_{\left[ {\frac{3}{2};\,3} \right]} y = \frac{{10}}{3}\), \(\mathop {\min }\limits_{\left[ {\frac{3}{2};\,3} \right]} y = 2\).

C. \(\mathop {\max }\limits_{\left[ {\frac{3}{2};\,3} \right]} y = \frac{{16}}{3}\), \(\mathop {\min }\limits_{\left[ {\frac{3}{2};\,3} \right]} y = 2\).

D. \(\mathop {\max }\limits_{\left[ {\frac{3}{2};\,3} \right]} y = \frac{{10}}{3}\), \(\mathop {\min }\limits_{\left[ {\frac{3}{2};\,3} \right]} y = \frac{5}{2}\).

A. \[2\sqrt 2 .\]

B. \[5.\]

C. \[\frac{{13}}{3}.\]

D. \[4.\]

A. \(m = \frac{{17}}{4}\)

B. \(m = 10\)

C. \(m = 5\)

D. \(m = 3\)

A. \( - 3\).

B. \(\frac{{21}}{2}\).

C. \( - \frac{1}{2}\).

D. \(0\).

A. \( - 6\).

B. \( - 12\).

C. \( - 4\).

D. \(18\).

A. \[T = - \frac{{13}}{2}\].

B. \[T = - 10\].

C. \[T = - \frac{{21}}{2}\].

D. \[T = - 14\].

A. \(T = \left[ {1;{\rm{ 9}}} \right]\).

B. \(T = \left[ {2\sqrt 2 ;{\rm{ 4}}} \right]\).

C. \(T = \left( {1;{\rm{ 9}}} \right)\).

D. \(T = \left[ {0;{\rm{ }}2\sqrt 2 } \right]\).

A. \( - 3\).

B. \( - \frac{5}{3}\).

C. \( - \frac{5}{2}\).

D. \(1\).

A. \( - \frac{7}{2}\).

B. \( - \frac{{13}}{3}\).

C. \(1\).

D. \( - 3\).

A. \(\mathop {\min }\limits_{\left[ {2;4} \right]} y = 6\).

B. \(\mathop {\min }\limits_{\left[ {2;4} \right]} y = \frac{{25}}{4}\).

C. \(\mathop {\min }\limits_{\left[ {2;4} \right]} y = - 6\).

D. \(\mathop {\min }\limits_{\left[ {2;4} \right]} y = \frac{{13}}{2}\).

A. \(\frac{{52}}{3}\).

B. \(20\).

C. \(6\).

D. \(\frac{{65}}{3}\).

A. \(\mathop {\min }\limits_{\left[ {2;\;4} \right]} y = 3\).

B. \(\mathop {\min }\limits_{\left[ {2;\;4} \right]} y = 7\).

C. \[\mathop {\min }\limits_{\left[ {2;{\rm{ }}4} \right]} y = 5.\]

D. \[\mathop {\min }\limits_{\left[ {2;{\rm{ }}4} \right]} y = 0.\]

A. \(\mathop {\min }\limits_{x \in \left[ { - 1\,;\,2} \right]} {\mkern 1mu} y = 3\).

B. \(\mathop {\min }\limits_{x \in \left[ { - 1\,;\,2} \right]} {\mkern 1mu} y = - 3\).

C. \(\mathop {\min }\limits_{x \in \left[ { - 1\,;\,2} \right]} {\mkern 1mu} y = 0\).

D. \(\mathop {\min }\limits_{x \in \left[ { - 1\,;\,2} \right]} {\mkern 1mu} y = - 4\).

A. \(m = - 4\).

B. \(m = 0\).

C. \(m = - 2\).

D. \(m = - 5\).

A. 8.

B. 5.

C. 4.

D. 6.

A. \(\sqrt 2 ;1\).

B. \(\sqrt 2 ;1\).

C. \(\sqrt 2 ; - 1\).

D. \(\sqrt 2 ;1\).