Đề thi thử THPT QG năm 2021 môn Toán - Trường THPT Trần Văn Giàu lần 2

A. 42

B. 25

C. 17

D. 425

A. \({u_5} =  - 1\)

B. \({u_5} = 48\)

C. \({u_5} =  - 6\)

D. \({u_5} =  - 30\)

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

B. (1;5)

C. (0;2)

D. \(\left( {5;\, + \infty } \right)\)

A. x = 0

B. y = -1

C. x = -1

D. y = 2

A. 1

B. 2

C. 3

D. 4

A. x = 2

B. y = 2

C. \(y = \frac{3}{4}\)

D. \(x = \frac{3}{4}\)

A. \(y = {x^3} + 3{x^2} - 2\)

B. \(y = {x^4} - 4{x^2} + 3\)

C. \(y =  - {x^3} + 2x + 3\)

D. \(y =  - {x^4} + 8{x^2} + 1\)

A. 1

B. 2

C. 3

D. 4

A. \(4044{\log _2}a\)

B. \(2022 + {\log _4}a\)

C. \(1011.{\log _2}a\)

D. \(\frac{1}{{1011}}{\log _2}a\)

A. \(y' = \frac{1}{x}\)

B. \(y' = \frac{1}{{x\ln 5}}\)

C. \(y' = \frac{x}{{\ln 5}}\)

D. \(y' = \frac{1}{{5\ln x}}\)

A. \(N = \sqrt x \)

B. \(N = {x^{\frac{1}{8}}}\)

C. \(N = \sqrt[2]{{{x^3}}}\)

D. \(N = \sqrt[3]{{{x^2}}}\)

A. x = 7

B. \(x = \frac{7}{4}\)

C. \(x = \frac{4}{7}\)

D. x = 4

A. \({x^2} - \cos x + C.\)

B. \(2{x^2} + \cos x + C\)

C. \({x^2} + \cos x + C\)

D. \(2{x^2} - \cos x + C\)

A. \( - \sin \left( {4x + 5} \right) + x\)

B. \(\frac{1}{4}\sin \left( {4x + 5} \right) - 3\)

C. \(\sin \left( {4x + 5} \right) - 1\)

D. \( - \frac{1}{4}\sin \left( {4x + 5} \right) + 3\)

A. \(\int\limits_0^1 {f\left( x \right){\rm{d}}x}  =  - 4\)

B. \(\int\limits_0^1 {f\left( x \right){\rm{d}}x}  = 8\)

C. \(\int\limits_0^1 {f\left( x \right){\rm{d}}x}  =  - 8\)

D. \(\int\limits_0^1 {f\left( x \right){\rm{d}}x}  = 4\)

A. \(\frac{{62}}{5}\)

B. \(\frac{5}{{62}}\)

C. \(\frac{{31}}{5}\)

D. \(\frac{5}{{31}}\)

A. \(\bar z =  - 5 + 3i\)

B. \(\bar z = 5 + 3i\)

C. \(\bar z = 3 + 5i\)

D. \(\bar z = 3 - 5i\)

A. z = 1 - 10i

B. z = 5 - 4i

C. z = 3 - 10i

D. z = 3 + 3i

A. \(M\left( { - 2;3} \right)\)

B. \(Q\left( { - 2; - 3} \right)\)

C. \(N\left( {2; - 3} \right)\)

D. \(P\left( {2;3} \right)\)

A. \(\frac{{{a^3}}}{3}\)

B. \(9{a^3}\)

C. \({a^3}\)

D. \(3{a^3}\)

A. a³

B. 3a

C. a²

D. \(\frac{{{a^3}}}{3}.\)

A. \(S = \pi {r^2}\)

B. \(S = 2\pi {r^2}\)

C. \(S = 4\pi {r^2}\)

D. \(S = 3\pi {r^2}\)

A. \(50\pi \left( {{\rm{c}}{{\rm{m}}^{\rm{2}}}} \right)\)

B. \(100\pi \left( {{\rm{c}}{{\rm{m}}^{\rm{2}}}} \right)\)

C. \(50\left( {{\rm{c}}{{\rm{m}}^{\rm{2}}}} \right)\)

D. \(100\left( {{\rm{c}}{{\rm{m}}^{\rm{2}}}} \right)\)

A. \(N\left( { - 10;4;3} \right)\)

B. \(N\left( { - 2; - 2;6} \right)\)

C. \(N\left( { - 11; - 4;3} \right)\)

D. \(N\left( { - 11;4;3} \right)\)

A. \(\left( { - 2;4; - 6} \right)\)

B. \(\left( {2; - 4;6} \right)\)

C. \(\left( {1; - 2;3} \right)\)

D. \(\left( { - 1;2; - 3} \right)\)

A. m = -1

B. m = 1

C. m = 9

D. m = -9

A. \(\overrightarrow {{u_1}}  = \left( {1;2;1} \right).\)

B. \(\overrightarrow {{u_2}}  = \left( { - 1;2;1} \right).\)

C. \(\overrightarrow {{u_3}}  = \left( {3; - 2; - 3} \right).\)

D. \(\overrightarrow {{u_4}}  = \left( {3;2;3} \right).\)

A. \(\frac{5}{9}\)

B. \(\frac{{25}}{{36}}\)

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

D. \(\frac{{13}}{{18}}\)

A. \(y = {x^4} + 3{x^2}\)

B. \(y = \frac{{x - 2}}{{x + 1}}\)

C. \(y = 3{x^3} + 3x - 2\)

D. \(y = 2{x^3} - 5x + 1\)

A. 2

B. 0

C. 4

D. 1

A. R

B. \(\left( { - \infty \,;\,0} \right)\)

C. \(\left( {0\,;\, + \infty } \right)\)

D. \(\left[ {0\,;\, + \infty } \right)\)

A. \({a^4}{b^6}\)

B. \({a^6}{b^{12}}\)

C. \({a^2}{b^{14}}\)  

D. \({a^8}{b^{14}}\)

A. \(\left| z \right| = 5\sqrt 2 \)

B. \(\left| z \right| = \sqrt 2 \)

C. \(\left| z \right| = 25\sqrt 2 \)

D. \(\left| z \right| = 7\sqrt 2 \)

A. 45^o

B. 30^o

C. 60^o

D. 90^o

A. \(\sqrt 2 a\)

B. \(\frac{{\sqrt 2 a}}{2}\)

C. \(\frac{a}{2}\)

D. \(\frac{{\sqrt 3 a}}{2}\)

A. \({\left( {x - 1} \right)^2} + {\left( {y - 4} \right)^2} + {\left( {z - 3} \right)^2} = 18\)

B. \({\left( {x - 1} \right)^2} + {\left( {y - 4} \right)^2} + {\left( {z - 3} \right)^2} = 16\)

C. \({\left( {x - 1} \right)^2} + {\left( {y + 4} \right)^2} + {\left( {z - 3} \right)^2} = 16\)

D. \({\left( {x - 1} \right)^2} + {\left( {y + 4} \right)^2} + {\left( {z - 3} \right)^2} = 18\)

A. \(\left\{ \begin{array}{l} x = 1 + t\\ y = - 1 - 3t\\ z = 8 - 4t \end{array} \right.\)

B. \(\left\{ \begin{array}{l} x = 1 - 4t\\ y = - 3 + 3t\\ z = 4 - t \end{array} \right.\)

C. \(\left\{ \begin{array}{l} x = 3 - 4t\\ y = 1 + 3t\\ z = 2 - t \end{array} \right.\)

D. \(\left\{ \begin{array}{l} x = 1 + 3t\\ y = - 3 + 4t\\ z = 4 - t \end{array} \right.\)

A. \(\mathop {\max h(x)}\limits_{{\rm{[}} - \sqrt 3 ;\sqrt 3 {\rm{]}}}  = 3f\left( 1 \right)\)

B. \(\mathop {\max h(x)}\limits_{{\rm{[}} - \sqrt 3 ;\sqrt 3 {\rm{]}}}  = 3f\left( { - \sqrt 3 } \right)\)

C. \(\mathop {\max h(x)}\limits_{{\rm{[}} - \sqrt 3 ;\sqrt 3 {\rm{]}}}  = 3f\left( {\sqrt 3 } \right)\)

D. \(\mathop {\max h(x)}\limits_{{\rm{[}} - \sqrt 3 ;\sqrt 3 {\rm{]}}}  = 3f\left( 0 \right)\)

A. 2

B. 3

C. 4

D. 5

A. \(P = \frac{{13}}{3}\)

B. \(P = \frac{{15}}{3}\)

C. \(P = \frac{{10}}{3}\)

D. \(P = \frac{{11}}{3}\)

A. 1

B. 0

C. 2

D. 3

A. \(\frac{{\sqrt 2 }}{2}\)

B. 1

C. \(\sqrt 3 \)

D. \(2\sqrt 2 \)

A. \({\left( {{1 \over 3}} \right)^\pi },\,\,{\left( {{1 \over 3}} \right)^{\sqrt 2 }},\,{\left( {{1 \over 3}} \right)^0},\,\,{\left( {{1 \over 3}} \right)^{ - 1}}\)

B. \({\left( {{1 \over 3}} \right)^{ - 1}},\,\,{\left( {{1 \over 3}} \right)^0},\,{\left( {{1 \over 3}} \right)^{\sqrt 2 }},\,\,{\left( {{1 \over 3}} \right)^\pi }\).

C. \({\left( {{1 \over 3}} \right)^{ - 1}},\,\,{\left( {{1 \over 3}} \right)^0},\,{\left( {{1 \over 3}} \right)^\pi },\,\,{\left( {{1 \over 3}} \right)^{\sqrt 2 }}\)

D. \({\left( {{1 \over 3}} \right)^0},\,\,{\left( {{1 \over 3}} \right)^{ - 1}},\,{\left( {{1 \over 3}} \right)^{\sqrt 2 }},\,\,{\left( {{1 \over 3}} \right)^\pi }\).

A. \(\overrightarrow u  = \left( {1\,;\,2\,;\,3} \right)\)

B. \(\overrightarrow u  = \left( {0\,;\,0\,;\, - 1} \right)\)

C. \(\overrightarrow u  = \left( {1\,;\,0\,;\,0} \right)\)

D. \(\overrightarrow u  = \left( {1\,;\, - 2\,;\, - 3} \right)\)

A. 14

B. 15

C. 9

D. 11

A. \(\left( {3.4;3.5} \right)\)

B. \(\left( {3.6;3.7} \right)\)

C. \(\left( {3.7;3.8} \right)\)

D. \(\left( {3.9;4} \right)\)

A. \(\frac{1}{6}\)

B. \(\frac{1}{3}\)

C. \(\frac{{125}}{{768}}\)

D. \(\frac{{125}}{{128}}\)

A. \(\frac{{\sqrt 3  + 2}}{2}\)

B. 2

C. \(\frac{{\sqrt 3  + 3}}{2}\)

D. 3

A. \(m \in \left( {0;2} \right)\)

B. \(m \in \left( {2;4} \right)\)

C. \(m \in \left( {4;5} \right)\)

D. \(m \in \left( {5;7} \right)\)