Đề thi thử THPT QG năm 2021 môn Toán - Trường THPT Hai Bà Trưng

A. 5!2!

B. 7!

C. 5! - 2!

D. 5! + 2!

A. 3

B. 27

C. 9

D. -3

A. (1;3)

B. (-1;1)

C. (-2;-1)

D. (3;4)

A. x = -1

B. x = 1

C. x = 3

D. x = 0

A. 4

B. 1

C. 2

D. 3

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

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

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

D. y = 5

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

B. \(y =  - {x^3} + 3{x^2} + 1\)

C. \(y =  - {x^4} + 2{x^2} + 1\)

D. \(y = {x^4} - 2{x^2} + 1\)

A. 0

B. 1

C. 2

D. 3

A. \(5 + 2{\log _2}a\)

B. \(5{\left( {{{\log }_2}a} \right)^2}\)

C. \(5 + {\log _2}a\)

D. \(5 - 2{\log _2}a\)

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

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

C. \(2.\ln 2x\)

D. \(\ln 2x\)

A. a⁵

B. a⁶

C. a⁸

D. a⁹

A. x = 2

B. x = 2;x = 3

C. x = 3

D. x =  - 2;x =  - 3

A. x = 2

B. x = 7

C. \(x = \frac{{11}}{2}\)

D. \(x = \frac{{35}}{4}\)

A. \(\int {f\left( x \right)} {\rm{d}}x = {x^5} + 2{x^2} - 4x + C\)

B. \(\int {f\left( x \right)} {\rm{d}}x = \frac{1}{5}{x^5} - {x^2} - 4x + C\)

C. \(\int {f\left( x \right)} {\rm{d}}x = \frac{1}{5}{x^5} + {x^2} - 4x + C\)

D. \(\int {f\left( x \right)} {\rm{d}}x = 4{x^3} + C\)

A. \(\int {f\left( x \right){\rm{d}}x}  = \frac{1}{4}\tan 4x + C\)

B. \(\int {f\left( x \right){\rm{d}}x}  =  - \frac{1}{4}\tan 4x + C\)

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

D. \(\int {f\left( x \right){\rm{d}}x}  =  - 4\tan 4x + C\)

A. 11

B. 3

C. -3

D. -11

A. 8

B. \(\frac{{26}}{3}\)

C. 24

D. 26

A. 1 + 5i

B. 1 - 5i

C. - 5 + 5i

D. - 5 - i

A. (5;-7)

B. (-5;7)

C. (-5;-7)

D. (7;-5)

A. 10

B. 30

C. 90

D. 15

A. 30

B. 150

C. 100

D. 10

A. \(V = 3\pi {r^2}h\)

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

C. \(V = \pi rh\)

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

A. \(144\pi {\rm{ c}}{{\rm{m}}^2}\)

B. \(54\pi {\rm{ c}}{{\rm{m}}^2}\)

C. \(36\pi {\rm{ c}}{{\rm{m}}^2}\)

D. \(27\pi {\rm{ c}}{{\rm{m}}^2}\)

A. \(\left( { - 7; - 1;1} \right)\)

B. \(\left( {7;1;\, - 1} \right)\)

C. \(\left( {3;3;9} \right)\)

D. (1;1;3)

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

B. \(I\left( {2;\, - 1;\,1} \right)\)

C. \(I\left( { - 2;\,1;\,0} \right)\)

D. \(I\left( {2;\, - 1;\,0} \right)\)

A. \(M\left( { - 1;\, - 2;\,0} \right)\)

B. \(N\left( {2;\, - 1;\, - 3} \right)\)

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

D. \(Q\left( {3;\,2;\,4} \right)\)

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

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

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

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

A. \(C_{10}^5 + C_5^3 + C_2^2\)

B. \(C_{10}^2 + C_{10}^3 + C_{10}^5\)

C. \(C_{10}^2.C_8^3.C_5^5\)

D. \(C_{10}^2 + C_8^3 + C_5^5\)

A. \(h\left( x \right) = {x^3} + x - \sin x\)

B. \(k\left( x \right) = 2x + 1\)

C. \(g\left( x \right) = {x^3} - 6{x^2} + 15x + 3\)

D. \(f\left( x \right) = \frac{{ - {x^2} - 2x + 5}}{{x + 1}}\)

A. \(\mathop {\max }\limits_{\left[ {1;4} \right]} f\left( x \right) = \frac{1}{3}\)

B. \(\mathop {\max }\limits_{\left[ {1;4} \right]} f\left( x \right) = \frac{2}{3}\)

C. \(\mathop {\max }\limits_{\left[ {1;4} \right]} f\left( x \right) = 1\)

D. Không tồn tại.

A. \(S = \left( {0;\frac{3}{2}} \right)\)

B. \(S = \left( { - 1;\frac{3}{2}} \right)\)

C. \(S = \left( { - \infty ;0} \right) \cup \left( {\frac{1}{2}; + \infty } \right)\)

D. \(S = \left( { - \infty ;1} \right) \cup \left( {\frac{3}{2}; + \infty } \right)\)

A. K = -2

B. K = 2

C. K = 1

D. K = -1

A. Q(-3;1)

B. N(3;1)

C. M(3;-1)

D. P(-1;3)

A. \(\cos \alpha  = \frac{1}{{2\sqrt 3 }}\)

B. \(\cos \alpha  = \frac{1}{{\sqrt 3 }}\)

C. \(\cos \alpha  = \frac{1}{{\sqrt 2 }}\)

D. \(\cos \alpha  = \frac{1}{{3\sqrt 2 }}\)

A. \(2a\sqrt 3 \)

B. \(a\sqrt 6 \)

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

D. \(a\sqrt 3 \)

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

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

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

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

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

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

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

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

A. \(\mathop {\min }\limits_{\left[ { - 2;2} \right]} g\left( {\left| {x + 3} \right| - 4} \right) = g\left( { - 3} \right)\)

B. \(\mathop {\min }\limits_{\left[ { - 2;2} \right]} g\left( {\left| {x + 3} \right| - 4} \right) = \frac{{g\left( { - 3} \right) + g\left( 1 \right)}}{2}\)

C. \(\mathop {\min }\limits_{\left[ { - 2;2} \right]} g\left( {\left| {x + 3} \right| - 4} \right) = g\left( { - 1} \right)\)

D. \(\mathop {\min }\limits_{\left[ { - 2;2} \right]} g\left( {\left| {x + 3} \right| - 4} \right) = g\left( 1 \right)\)

A. 2019

B. 2021

C. 2020

D. 2022

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

B. \(\frac{9}{2}\)

C. \(\frac{{11}}{2}\)

D. \(\frac{{13}}{2}\)

A. 0

B. 1

C. 2

D. 4

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

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

C. \({a^3}\)

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

A. \(9\,{{\rm{m}}^2}\)

B. \(8,5{\rm{ }}{{\rm{m}}^2}\)

C. \(8,6{\rm{ }}{{\rm{m}}^2}\)

D. \(9,2{\rm{ }}{{\rm{m}}^2}\)

A. \(d:\left\{ \begin{array}{l} x = 1 - 3t\\ y = 5t\\ z = - 1 - 8t \end{array} \right.\left( {t \in R} \right)\)

B. \(d:\left\{ \begin{array}{l} x = 1 + 3t\\ y = - 5t\\ z = - 1 + 8t \end{array} \right.\left( {t \in R} \right)\)

C. \(d:\left\{ \begin{array}{l} x = 1 + 12t\\ y = - 5t\\ z = - 1 + 32t \end{array} \right.\left( {t \in R} \right)\)

D. \(\left\{ \begin{array}{l} x = 1 + 3t\\ y = 5t\\ z = - 1 + 8t \end{array} \right.\left( {t \in R} \right)\)

A. 4

B. 1

C. 2

D. 3

A. 4

B. 1

C. 2

D. Vô số

A. \(k = \sqrt[3]{4}\)

B. \(k = \sqrt[3]{2} - 1\)

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

D. \(k = \sqrt[3]{4} - 1.\)

A. 1

B. 0

C. \(2\sqrt 3 \)

D. 3

A. \(V = \pi \int\limits_a^b {|f(y)|\,dy} \).

B. \(V = \int\limits_a^b {|f(x)|\,dx} \).

C. \(V = {\pi ^2}\int\limits_a^b {{f^2}(x)\,dx} \).

D. \(V = \pi \int\limits_a^b {{f^2}(y)\,} dy\)