Đề thi thử THPT QG năm 2021 môn Toán - Trường THPT Nguyễn Khuyến lần 3

A. \(9\pi \)

B. \(36\pi \)

C. \(18\pi \)

D. \(16\pi \)

A. 3

B. \(3\sqrt{3}\).

C. 27

D. 2

A. x = -3

B. x = 1

C. x = 3

D. x = 8

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

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

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

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

A. \(y=-9x-26\)

B. \(y=-9x-3\)

C. \(y=9x-2\)

D. \(y=9x-26\)

A. 250

B. 17

C. 22

D. 12

A. \(\left( -1;0 \right)\).

B. \(\left( -1;1 \right)\).

C. \(\left( -1;+\infty  \right)\).

D. \(\left( 0;1 \right)\).

A. \(\frac{7!}{3!}\)

B. 21

C. \(A_{7}^{3}\)

D. \(C_{7}^{3}\)

A. \(F\left( x \right)=\tan x+C\).

B. \(F\left( x \right)=\text{cos}\,x+C\).

C. \(F\left( x \right)=-\text{cot}x+C\).

D. \(F\left( x \right)=-\text{cos}\,x+C\).

A. 1

B. 5

C. -5

D. -1

A. \(\pi \int\limits_{1}^{2}{\sqrt{6}x\text{d}x}\).

B. \(\pi \int\limits_{1}^{2}{6{{x}^{2}}\text{d}x}\).

C. \(\pi \int\limits_{0}^{2}{6{{x}^{2}}\text{d}x}\).

D. \(\pi \int\limits_{0}^{1}{6{{x}^{2}}\text{d}x}\).

A. \(I=-4.\)

B. \(I=-6.\)

C. \(I=4.\)

D. \(I=6.\)

A. \(\overline{z}=3+5i.\)

B. \(\overline{z}=-5+3i.\)

C. \(\overline{z}=5+3i.\)

D. \(\overline{z}=3-5i.\)

A. \(\left( 3;-1;-2 \right)\)

B. \(\left( 3;-1;2 \right)\)

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

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

A. \(V=\frac{{{a}^{3}}\sqrt{6}}{4}\)

B. \(V={{a}^{3}}\sqrt{6}\)

C. \(V=\frac{{{a}^{3}}\sqrt{6}}{2}\)

D. \(V=\frac{{{a}^{3}}\sqrt{6}}{12}\)

A. 1

B. 3

C. 4

D. 2

A. -2

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

C. 2

D. 3

A. \(S=4\pi {{a}^{2}}.\)

B. \(S=8\pi {{a}^{2}}.\)

C. \(S=24\pi {{a}^{2}}.\)

D. \(S=16\pi {{a}^{2}}.\)

A. \(S=\left( 1;+\infty  \right).\)

B. \(S=\left( -\infty ;1 \right).\)

C. \(S=(-\infty ;1].\)

D. \(S=\text{ }\!\![\!\!\text{ }1;+\infty ).\)

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

B. \(\left\{ \begin{align} & x=2+2t \\ & y=-3 \\ & z=1-t \\ \end{align} \right. \)

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

D. \(\left\{ \begin{align} & x=2+2t \\ & y=-3t \\ & z=-1+t \\ \end{align} \right. \)

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

B. 10

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

D. 4

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

B. \({{\left( x+2 \right)}^{2}}+{{\left( y+3 \right)}^{2}}+{{\left( z+4 \right)}^{2}}=9\)

C. \({{\left( x-2 \right)}^{2}}+{{\left( y-3 \right)}^{2}}+{{\left( z-4 \right)}^{2}}=45\)

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

A. \({{60}^{0}}\).

B. \({{45}^{0}}\).

C. \({{90}^{0}}\).

D. \({{30}^{0}}\).

A. \(\forall x\in \mathbb{R}\).

B. \(x<1\).

C. \(x>-1\).

D. \(x<-1\).

A. \(x+2y-z-3=0.\)

B. \(x+2y-z-1=0.\)

C. \(x+2y-z+1=0.\)

D. \(x+2y+z+1=0.\)

A. 1

B. 4

C. 2

D. 3

A. 2

B. 16

C. 3

D. 4

A. P = 6

B. \(P=-\frac{1}{6}.\)

C. P = - 6

D. \(P=\frac{1}{6}.\)

A. 1

B. 2

C. 0

D. 3

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

B. \(\sqrt{3}\).

C. 2

D. \(\sqrt[3]{2}\).

A. \(\left( 1;2;1 \right)\)

B. \(\left( 2;2;2 \right)\)

C. \(\left( 1;1;-1 \right)\)

D. \(\left( 1;2;-1 \right)\)

A. \(\frac{a\sqrt{3}}{6}\)

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

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

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

A. m = 3

B. m = 2

C. m = 1

D. m = 4

A. m = -1

B. m = 5

C. m = 1

D. m = -7

A. 1014m

B. 1200m

C. 36m

D. 966m

A. \(\frac{7}{2}\).

B. \(\frac{5-\operatorname{e}}{2}\).

C. \(\frac{7-\operatorname{e}}{2}\).

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

A. \(m\in \varnothing \)

B. m < 0

C. m = 0

D. m > 0

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

B. \(\left| z \right|=4\sqrt{2}\)

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

D. \(\left| z \right|=4\)

A. \(\left( -3;0 \right)\)

B. \(\left( 0;3 \right)\)

C. \(\left( -\infty ;-3 \right)\)

D. \(\left( 3;+\infty  \right)\)

A. m>0

B. \(m\ge -\frac{3}{2}\).

C. m>-2

D. \(m>-\frac{3}{2}\).

A. \(\frac{46}{5}\sqrt{3}\pi \) (dm³).

B. \(18\sqrt{3}\pi \) (dm³).

C. \(\frac{46}{3}\sqrt{3}\pi \) (dm³).

D. \(18\pi \) (dm³).

A. \(z=2-i.\)

B. \(z=1-2i.\)

C. \(z=1+2i.\)

D. \(z=-1-2i.\)

A. -2

B. 4

C. 2

D. 0

A. \(f\left( 0 \right)>0\)

B. \(f\left( 0 \right)<0<f\left( m \right)\).

C. \(f\left( m \right)<0<f\left( n \right)\).

D. \(f\left( 0 \right)<0<f\left( n \right)\).

A. \(\frac{27}{34}\)

B. \(\frac{23}{68}\)

C. \(\frac{9}{34}\)

D. \(\frac{9}{17}\)

A. 5

B. 6

C. 7

D. 9

A. \(\frac{{{a}^{3}}\sqrt{6}}{32}\).

B. \(\frac{{{a}^{3}}}{6}\).

C. \(\frac{{{a}^{3}}\sqrt{3}}{16}\).

D. \(\frac{{{a}^{3}}\sqrt{2}}{12}\).

A. 23

B. 19

C. 21

D. 20

A. \(\left( 6;7 \right)\)

B. \(\left( -1;2 \right)\)

C. \(\left( -2;3 \right)\)

D. \(\left( 5;7 \right)\).