Đề thi thử THPT QG năm 2021 môn Toán - Trường THPT Sơn Mỹ

A. 4

B. 24

C. 4⁴

D. 16

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

B. \( - \frac{3}{8}\)

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

D. 2

A. 505

B. 2017

C. 2020

D. 1010

A. 3b

B. b²

C. b³

D. 3a²

A. \(y' = \frac{1}{{\left( {4x + 1} \right)\ln 3}}.\)

B. \(y' = \frac{4}{{\left( {4x + 1} \right)\ln 3}}.\)

C. \(y' = \frac{{\ln 3}}{{4x + 1}}.\)

D. \(y' = \frac{{4\ln 3}}{{4x + 1}}.\)

A. \(\int\limits_{}^{} {\left[ {f\left( x \right) + g\left( x \right)} \right]{\rm{d}}x} = \int\limits_{}^{} {f\left( x \right){\rm{d}}x} + \int\limits_{}^{} {g\left( x \right){\rm{d}}x} \)

B. \(\int\limits_{}^{} {kf\left( x \right){\rm{d}}x} = k\int\limits_{}^{} {f\left( x \right){\rm{d}}x} \)

C. \(\int\limits_{}^{} {f\left( x \right)g\left( x \right){\rm{d}}x} = \int\limits_{}^{} {f\left( x \right){\rm{d}}x} .\int\limits_{}^{} {g\left( x \right){\rm{d}}x} \)

D. \(\int\limits_{}^{} {f'\left( x \right){\rm{d}}x} = f\left( x \right) + C\) , \(\left( {C \in R} \right)\)

A. \(\frac{{\sqrt 2 {a^3}}}{3}\)

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

C. \(3\sqrt 2 {a^3}\)

D. \(\frac{{\sqrt 2 {a^3}}}{6}\)

A. \(\frac{{{a^3}\sqrt 3 }}{{12}}\)

B. \(\frac{{{a^3}\sqrt 3 }}{4}\)

C. \(\frac{{{a^3}\sqrt 3 }}{6}\)

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

A. \(2\sqrt[3]{9}\)

B. 3

C. 6

D. \(6\sqrt 2 \)

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

B. (0;2)

C. (3;7)

D. \(( - \infty ;1)\)

A. \(2 + {\log _2}a\)

B. \(3{\log _2}a\)

C. \(18{\log _2}a\)

D. \(2{\log _2}a\)

A. \(80\pi \)

B. \(20\pi \)

C. \(60\pi \)

D. \(68\pi \)

A. x = 0

B. x = -1

C. x = 1

D. x = 4

A. \(a > 0;{\rm{ }}b > 0;{\rm{ }}c > 0;{\rm{ }}d = 0\)

B. \(a > 0;{\rm{ }}b < 0;{\rm{ }}c = 0;{\rm{ }}d = 0\)

C. \(a > 0;{\rm{ }}b > 0;{\rm{ }}c = 0;{\rm{ }}d = 0\)

D. \(a > 0;{\rm{ }}b > 0;{\rm{ }}c < 0;{\rm{ }}d = 0\)

A. 3

B. 0

C. 1

D. 2

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

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

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

D. (0;1]

A. 3

B. 1

C. 0

D. 2

A. 8

B. 4

C. 6

D. 11

A. \(\bar z = \frac{{ - 7}}{5} + \frac{1}{5}i\)

B. \(\bar z = \frac{{ - 7}}{5} - \frac{1}{5}i\)

C. \(\bar z = \frac{{ - 7}}{3} - \frac{1}{5}i\)

D. \(\bar z = \frac{{ - 7}}{3} + \frac{1}{3}i\)

A. -4

B. 2i

C. 4

D. 2

A. \(\sqrt {41} \)

B. 3

C. 1

D. 41

A. (1;0;0)

B. (0;2;-5)

C. (0;0;-5)

D. (1;2;0)

A. \({\left( {x + 1} \right)^2} + {\left( {y - 1} \right)^2} + {z^2} = 9\)

B. \({\left( {x - 1} \right)^2} + {\left( {y + 1} \right)^2} + {z^2} = 9\)

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

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

A. \(\mathop {{n_1}}\limits^ \to  \left( {3\,;\, - 2\,;\, - 3} \right).\)

B. \({\mathop n\limits^ \to  _2}\left( {3\,;\, - 2\,;\,1} \right)\)

C. \(\mathop {{n_3}}\limits^ \to  \left( {3\,;\, - 2\,;\,0} \right)\)

D. \({\mathop n\limits^ \to  _4}\left( {3\,;\,0\,;\, - 2} \right)\)

A. \(M\left( { - 1; - 4;2} \right)\)

B. \(N\left( {5;\,\,4;\, - 2} \right)\)

C. \(P\left( {2;\,\,4;\, - 1} \right)\)

D. \(Q\left( {8;\,8;\, - 1} \right)\)

A. 45^o

B. 60^o

C. 90^o

D. 30^o

A. 3

B. 0

C. 2

D. 1

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

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

C. 9

D. -7

A. \(A = \left( {3 - a} \right)a\)

B. \(A = \frac{{3 + a}}{a}\)

C. \(A = \frac{{3 - a}}{a}\)

D. \(A = \left( {3 + a} \right)a\)

A. 0

B. 1

C. 2

D. 3

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

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

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

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

A. \(4\pi {a^3}\)

B. \(8\pi {a^3}\)

C. \(4\sqrt 3 \pi {a^3}\)

D. \(8\sqrt 3 \pi {a^3}\)

A. \(\int\limits_0^2 {{u^2}du} \)

B. \(\frac{1}{2}\int\limits_0^{\sqrt 2 } {{u^2}du} \)

C. \(\frac{1}{2}\int\limits_0^2 {{u^2}du} \)

D. \(\int\limits_0^{\sqrt 2 } {{u^2}du} \)

A. \(S = \pi \int\limits_1^3 {\left| {{x^3} - 6{x^2} + 11x - 6} \right|} \,{\rm{d}}x\)

B. \(S = \int\limits_1^3 {({x^3} - 6{x^2} + 11x - 6} \,){\rm{d}}x\)

C. \(S = \int\limits_1^3 {\left| {{x^3} - 6{x^2} + 11x - 6} \right|} \,{\rm{d}}x\)

D. \(S = \int\limits_1^3 {(11x - 6 - {x^3} + 6{x^2}} \,){\rm{d}}x\)

A. x = -1; y = 2

B. x = 3; y = 2

C. x = 1; y = 3

D. x = -1; y = 1

A. -1

B. \(\sqrt {13} \)

C. 5

D. 13

A. 3x + 4y + 2z + 1 = 0

B. 3x - 4y + 2z + 17 = 0

C. 3x + 4y + 2z - 1 = 0

D. 3x - 4y + 2z - 17 = 0

A. \(\frac{{x + 3}}{3} = \frac{{y + 1}}{{ - 2}} = \frac{{ - z}}{1}\)

B. \(\frac{{x - 3}}{3} = \frac{{y - 1}}{{ - 2}} = \frac{z}{1}\)

C. \(\frac{{x - 3}}{3} = \frac{{y + 2}}{1} = \frac{z}{1}\)

D. \(\frac{{x + 3}}{3} = \frac{{y - 2}}{1} = \frac{z}{1}\)

A. \(\frac{5}{{42}}\)

B. \(\frac{1}{{10}}\)

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

D. \(\frac{7}{{35}}\)

A. \(\frac{{3a\sqrt 3 }}{4}\)

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

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

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

A. 1

B. 3

C. 2

D. 0

A. 392

B. 398

C. 390

D. 391

A. 2

B. 3

C. 4

D. 5

A. \(40\pi {a^2}\)

B. \(108\pi {a^2}\)

C. \(80\pi {a^2}\)

D. \(54\pi {a^2}\)

A. I = 3

B. \(I = \frac{3}{2}\)

C. I = 2

D. \(I = \frac{5}{2}\)

A. 3

B. 10

C. 8

D. 6

A. (10;15)

B. \(\left[ {\frac{{ - 11}}{2};\,\frac{{13}}{2}} \right)\)

C. [-10;10)

D. [15;20]

A. 2

B. 4

C. 8

D. 16

A. \(\frac{{153}}{2}\)

B. 108

C. \(\frac{{63}}{2}\)

D. 70

A. (3,8;3,9)

B. (3,7;3,8)

C. (3,6;3,7)

D. (3,5;3,6)