Đề thi thử THPT QG năm 2021 môn Toán - Trường THPT Phú Nhuận lần 2

A. 210

B. 35

C. 3!

D. 7³

A. 6

B. 10

C. 4

D. 8

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

B. \(\left( {4; + \infty } \right)\)

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

D. (1;3)

A. x = -2

B. x = 1

C. x = 2

D. x = 0

A. 4

B. 5

C. 3

D. 6

A. x = -2

B. x = 2

C. x = -1

D. \(x = \frac{1}{2}\)

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

B. \(y =  - {x^4} + 2{x^2} + 3\)

C. \(y =  - {x^3} + 3{x^2} + 3\)

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

A. 2

B. -2

C. -3

D. 0

A. \({\left( {{{\log }_4}a} \right)^2}\)

B. \(\frac{1}{2} + {\log _4}a\)

C. \(2{\log _4}a\)

D. \(2 + {\log _4}a\)

A. \(y' = {4^x}\)

B. \(y' = {4^x}\ln 4\)

C. \(y' = x{.4^{x - 1}}\)

D. \(y' = \frac{{{4^x}}}{{\ln 4}}\)

A. \({a^{\frac{1}{3}}}\)

B. a²

C. a³

D. a²⁷

A. x = 4

B. x = 8

C. x = 6

D. x = 2

A. x = 4

B. x = 8

C. x = 16

D. x = 2

A. \(\int f \left( x \right){\rm{d}}x = 4{x^4} + x + C\)

B. \(\int f \left( x \right){\rm{d}}x = {x^5} + x + C\)

C. \(\int f \left( x \right){\rm{d}}x = \frac{1}{5}{x^5} + x + C\)

D. \(\int f \left( x \right){\rm{d}}x = 20{x^3} + C\)

A. \(\int f \left( x \right){\rm{d}}x = \frac{1}{3}\sin 3x + C\)

B. \(\int f \left( x \right){\rm{d}}x =  - \frac{1}{3}\sin 3x + C\)

C. \(\int f \left( x \right){\rm{d}}x = 3\sin 3x + C\)

D. \(\int f \left( x \right){\rm{d}}x =  - 3\sin 3x + C\)

A. -1

B. -5

C. 5

D. -6

A. \(\frac{{32}}{3}\)

B. 64

C. 32

D. \(\frac{{32}}{6}\)

A. \(\overline z  =  - 6 + 7i\)

B. \(\overline z  = 6 + 7i\)

C. \(\overline z  =  - 6 - 7i\)

D. \(\overline z  = 6 + 7i\)

A. 1 + i

B. - 1 - i

C. 5 + 3i

D. 5 - i

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

B. \(\left( { - 4;\sqrt 3 } \right)\)

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

D. \(\left( {4;\sqrt 3 } \right)\)

A. 72

B. 216

C. 108

D. 54

A. 120

B. 240

C. 80

D. 60

A. \(V = \pi rh.\)

B. \(V = \frac{1}{3}\pi {r^2}h.\)

C. \(V = \frac{1}{3}\pi rh.\)

D. \(V = \pi {r^2}h.\)

A. \(160\pi c{m^2}.\)

B. \(40\pi c{m^2}.\)

C. \(80\pi c{m^2}.\)

D. \(20\pi c{m^2}.\)

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

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

C. \(\left( {3;0; - 2} \right).\)

D. \(\left( {1;0; - 1} \right).\)

A. 8

B. 4

C. 256

D. 16

A. \(\left( {{P_1}} \right):x + 3y + z = 0.\)

B. \(\left( {{P_2}} \right):x + y + z = 0.\)

C. \(\left( {{P_3}} \right):3x - y + z = 0.\)

D. \(\left( {{P_4}} \right):3x - y = 0.\)

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

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

C. \(\overrightarrow {{u_3}}  = \left( {0;1;0} \right).\)

D. \(\overrightarrow {{u_4}}  = \left( {1; - 3; - 2} \right).\)

A. 1

B. \(\frac{{11}}{{21}}.\)

C. \(\frac{{10}}{{21}}.\)

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

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

B. \(y = {x^2} - 6x + 5.\)

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

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

A. 9

B. 5

C. 1

D. 7

A. \(\left( { - \infty ; - \frac{1}{3}} \right)\)

B. \(\left( {1; + \infty } \right)\)

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

D. \(\left( { - \infty ; - \frac{1}{3}} \right) \cup \left( {1; + \infty } \right)\)

A. 3

B. 2

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

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

A. 50

B. 10

C. \(5\sqrt 2 .\)

D. \(\sqrt {10} .\)

A. 60^o

B. 90^o

C. 45^o

D. 30^o

A. \(\frac{{a\sqrt 6 }}{2}\)

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

C. \(\frac{{a\sqrt 3 }}{3}\)

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

A. \({\left( {x + 1} \right)^2} + {\left( {y - 2} \right)^2} + {z^2} = 100\)

B. \({\left( {x + 1} \right)^2} + {\left( {y - 2} \right)^2} + {z^2} = 25\)

C. \({\left( {x - 1} \right)^2} + {\left( {y + 2} \right)^2} + {z^2} = 25\)

D. \({\left( {x - 1} \right)^2} + {\left( {y + 2} \right)^2} + {z^2} = 100\)

A. \(\left\{ \begin{array}{l} x = 2 - t\\ y = 3 - t\\ z = - 1 + 5t \end{array} \right.\)

B. \(\,\,\left\{ \begin{array}{l} x = 1 - t\\ y = 2 - t\\ z = 4 - 5t \end{array} \right.\)

C. \(\,\,\left\{ \begin{array}{l} x = 1 + t\\ y = 2 + t\\ z = 4 + 5t \end{array} \right.\)

D. \(\,\,\left\{ \begin{array}{l} x = 2 + t\\ y = 3 + t\\ z = - 1 + 5t \end{array} \right.\)

A. \(\frac{{1573}}{{64}}\)

B. 198

C. \(\frac{{37}}{4}\)

D. \(\frac{{14245}}{{64}}\)

A. 243

B. 242

C. 241

D. 244

A. a = 1

B. \(a = \frac{1}{2}.\)

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

D. \(a = \frac{1}{4}.\)

A. 2

B. 1

C. 3

D. 4

A. \(\frac{{{a^3}}}{9}.\)

B. \(\frac{{{a^3}}}{{32}}.\)

C. \(\frac{{{a^3}}}{{64}}.\)

D. \(\frac{{{a^3}}}{{16}}.\)

A. \(24{\rm{m}} \times 32{\rm{m}}\)

B. \(8{\rm{m}} \times 48{\rm{m}}\)

C. \(12{\rm{m}} \times 32{\rm{m}}\)

D. \(16{\rm{m}} \times 24{\rm{m}}\)

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

B. \(\left\{ \begin{array}{l} x = 3 + 7t\\ y = - 1 - 8t\\ z = 1 - 15t \end{array} \right.\)

C. \(\left\{ \begin{array}{l} x = 3 + t\\ y = - 1 - t\\ z = 1 \end{array} \right.\) hoặc \(\left\{ \begin{array}{l} x = 3 + 7t\\ y = - 1 - 8t\\ z = 1 - 15t \end{array} \right.\)

D. \(\left\{ \begin{array}{l} x = 3 + 7t\\ y = - 1 - 8t\\ z = - 1 - 15t \end{array} \right.\)

A. 4038

B. 6057

C. 6060

D. 4040

A. -14

B. -32

C. 32

D. 28

A. \(M=\sqrt{17}+\sqrt{5},\text{ }m=3\sqrt{2}.\)

B. \(M=\sqrt{26}+2\sqrt{5},\text{ }m=3\sqrt{2}.\)

C. \(M=\sqrt{26}+2\sqrt{5},\text{ }m=\sqrt{2}.\)

D. \(M=\sqrt{17}+\sqrt{5},\text{ }m=\sqrt{2}.\)

A. \(\frac{{9\sqrt 3 }}{2}\)

B. \(3\sqrt 3 \)

C. \(9\sqrt 3 \)

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