Bộ đề minh họa môn Toán THPT Quốc gia năm 2022 (đề 6)

A.\[ - \frac{1}{3}\sin 3x + C.\]

B.\[\frac{1}{3}\sin 3x + C.\]

C.\[ - 3\sin 3x + C.\]

D.\[3\sin 3x + C.\]

A.\[\vec n = \left( {0; - 4;3} \right).\]

B.\[\vec n = \left( {1{\mkern 1mu} ;{\mkern 1mu} 4{\mkern 1mu} ;{\mkern 1mu} 3} \right).\]

C.\[\vec n = \left( { - 1;4; - 3} \right).\]

D.\[\vec n = \left( { - 4;3; - 2} \right).\]

A.\[\left( { - \infty ;1} \right).\]

B.\[\left( {3; + \infty } \right).\]

C.\[\left( {0;4} \right).\]

D.\[\left( {1;3} \right).\]

A.4.

B.0.

C.1.

D.5.

A.\[y' = \frac{2}{{2x + 3}}.\]

B.\[y' = \frac{1}{{2x + 3}}.\]

C.\[y' = \frac{2}{{\left( {2x + 3} \right)\ln 2}}.\]

D.\[y' = \frac{1}{{\left( {2x + 3} \right)\ln 2}}.\]

A.\[ + \infty .\]

B.0.

C.\[\frac{1}{{2019}}.\]

A.

B.\[y = - {x^3} + 3x + 2.\]

C.\[y = {x^3} - 3{x^2} + 2.\]

D.\[y = - {x^3} - 3{x^2} + 2.\]

A.1.

B.\[ - 1.\]

C.\[ - i.\]

D.3.

A.\[\frac{1}{2}\ln 3.\]

B.\[2\ln 3.\]

C.\[ - \frac{1}{2}\ln 3.\]

D.\[\ln 3.\]

A.1.

B.2.

C.3.

D.0.

A.\[m = - 6.\]

B.\[m = 4.\]

C.\[m = - 2\]

D.\[m = - 4.\]

A.\[{\log _2}\left( {\frac{{2{a^2}}}{b}} \right) = 1 + \frac{1}{2}{\log _2} + {\log _2}b.\]

B.\[{\log _2}\left( {\frac{{2{a^2}}}{b}} \right) = 1 + 2{\log _2} + {\log _2}b.\]

C.\[{\log _2}\left( {\frac{{2{a^2}}}{b}} \right) = 1 + \frac{1}{2}{\log _2} - {\log _2}b.\]

D.\[{\log _2}\left( {\frac{{2{a^2}}}{b}} \right) = 1 + 2{\log _2} - {\log _2}b.\]

A.\[V = 12\pi .\]

B.\[V = 36\pi .\]

C.\[V = 15\pi .\]

D.\[V = 45\pi .\]

A.135.

B.22.

C.32.

D.72.

A.\[S = 7.\]

B.\[S = - 1.\]

C.\[S = 3.\]

D.\[S = - 3.\]

A.

\[S = - \int\limits_{ - 3}^0 {f\left( x \right)dx} .\]

B.\[S = - \int\limits_{ - 3}^{ - 2} {f\left( x \right)dx} + \int\limits_{ - 2}^0 {f\left( x \right)dx} .\]

C.\[S = \int\limits_{ - 3}^0 {f\left( x \right)dx} .\]

D.\[S = \int\limits_{ - 3}^{ - 2} {f\left( x \right)dx} - \int\limits_{ - 2}^0 {f\left( x \right)dx} .\]

A.\[\mathop {\min }\limits_{\left[ {1;4} \right]} {\mkern 1mu} y = 17.\]

B.\[\mathop {\min }\limits_{\left[ {1;4} \right]} {\mkern 1mu} y = 12.\]

C.\[\mathop {\min }\limits_{\left[ {1;4} \right]} {\mkern 1mu} y = 20.\]

D.\[\mathop {\min }\limits_{\left[ {1;4} \right]} {\mkern 1mu} y = 10.\]

A.\[m = 2.\]

B.\[m = - \frac{5}{4}.\]

C.\[m = 3.\]

D.\[m = - 2.\]

A.\[1 + 2i.\]

B.\[1 - 2i.\]

C.\[2 - i.\]

D.\[ - 2 + i.\]

A.3.

B.2.

C.1.

D.4.