Đề thi thử THPT QG năm 2021 môn Toán - Trường THPT Hoàng Hoa Thám lần 3

A. \(A_{30}^{4}\)

B. \({{30}^{5}}\)

C. \({{30}^{5}}\)

D. \(C_{30}^{5}\)

A. \(d=-9.\)

B. \(d=7.\)

C. \(d=-7.\)

D. \(d=9.\)

A. \(\left( -\infty \,;\,-3 \right)\)

B. \(\left( -3;5 \right)\)

C. \(\left( 3;4 \right)\)

D. \(\left( 5;+\infty  \right)\)

A. y = 1

B. x = 0

C. y = 0

D. x = 1

A. 3

B. 0

C. 2

D. 1

A. y = 2

B. x = 2

C. y = -5

D. x = -5

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

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

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

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

A. 2

B. 3

C. 0

D. 1

A. \(-{{\log }_{a}}b\)

B. \(\frac{1}{{{\log }_{a}}b}\)

C. \(\log a-\log b\)

D. \({{\log }_{a}}b\) 

A. \(y'=\frac{\ln 2018}{x}\)

B. \(y'=\frac{2018}{x.\ln 2018}\)

C. \(y'=\frac{1}{x.\ln 2018}\)

D. \(y'=\frac{1}{x.\log 2018}\)

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

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

C. \({{a}^{\frac{7}{3}}}\).

D. \({{a}^{\frac{5}{3}}}\).

A. \(\left\{ 0;1 \right\}\)

B. \(\varnothing \)

C. \(\left\{ 2;4 \right\}\)

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

A. 0

B. 1

C. 2

D. 3

A. \(\int{\frac{1}{{{\cos }^{2}}x}}dx=\tan x+C\)

B. \(\int{{{e}^{x}}}dx={{e}^{x}}+C\)

C. \(\int{\ln }xdx=\frac{1}{x}+c\)

D. \(\int{\sin }xdx=-\cos x+C\)

A. \(F(x)=\frac{1}{2}\ln \left| 2x+1 \right|+C\)

B. \(F(x)=2\ln \left| 2x+1 \right|+C\)

C. \(F(x)=\ln \left| 2x+1 \right|+C\)

D. \(F(x)=\frac{1}{2}\ln (2x+1)+C\)

A. I = 11

B. I = 7

C. I = 2

D. I = 18

A. \(\ln 2-1\).

B. \(-\ln 2\).

C. \(\ln 2\).

D. \(1-\ln 2\).

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

B. z = 3i

C. z=-2+3i

D. z = -2

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

B. \(z=\frac{1}{10}+\frac{7}{10}i\).

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

D. \(z=-\frac{1}{10}+\frac{7}{10}i\).

A. z=1-2i

B. z=2+i

C. z=1+2i

D. z=-2+i

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

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

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

D. \(6{{a}^{2}}\)

A. V = 10

B. V = 20

C. V = 30

D. V = 60

A. \(16\pi \)

B. \(48\pi \)

C. \(12\pi \)

D. \(36\pi \)

A. \(\frac{2\pi {{R}^{3}}}{3}\)

B. \(\pi {{R}^{3}}\)

C. \(\frac{\pi {{R}^{3}}}{3}\)

D. \(2\pi {{R}^{3}}\)

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

B. \(\left( 2;2;0 \right)\)

C. \(\left( -2;-4;2 \right)\)

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

A. \(R=\sqrt{3}\)

B. \(R=3\)

C. \(R=9\)

D. \(R=3\sqrt{3}\)

A. \(m=-5\).

B. \(m=1\).

C. \(m=3\).

D. \(m=-1\).

A. \(\overrightarrow{u}=\left( 1;\,-2;\,0 \right)\)

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

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

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

A. \(\frac{1}{18}\)

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

C. \(\frac{1}{8}\)

D. \(\frac{2}{25}\)

A. \(y\,=\,-{{x}^{4}}-6{{x}^{2}}\).

B. \(y\,=\,-{{x}^{3}}+3{{x}^{2}}-9x+1\).

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

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

A. 46

B. -23

C. -2

D. 13

A. \(\left( 4;+\infty  \right)\)

B. \(\left( 2;4 \right]\)

C. \(\left[ 4;+\infty  \right)\)

D. \(\left( -\infty ;4 \right]\)

A. -3

B. -8

C. 12

D. 1

A. 12

B. 10

C. 13

D. 15

A. \(30{}^\circ \)

B. \(75{}^\circ \)

C. \(60{}^\circ \)

D. \(45{}^\circ \)

A. 3a

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

C. \(\frac{a\sqrt{10}}{2}\)

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

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

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

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

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

A. \(\left\{ \begin{align} & x=4+3t \\ & y=5-t \\ & z=-7+2t \\ \end{align} \right.\)

B. \(\left\{ \begin{align} & x=-4+3t \\ & y=-5-t \\ & z=7+2t \\ \end{align} \right.\)

C. \(\left\{ \begin{align} & x=3+4t \\ & y=-1+5t \\ & z=2-7t \\ \end{align} \right.\)

D. \(\left\{ \begin{align} & x=-3+4t \\ & y=1+5t \\ & z=-2-7t \\ \end{align} \right.\)

A. 4

B. 2

C. 3

D. 1

A. \(m\ge f\left( 2 \right)+\frac{1}{{{e}^{2}}}\)

B. \(m>f\left( -2 \right)+{{e}^{2}}\)

C. \(m>f\left( 2 \right)+\frac{1}{{{e}^{2}}}\)

D. \(m\ge f\left( -2 \right)+{{e}^{2}}\)

A. \(\frac{21869}{5}\)

B. \(\frac{39364}{9}\)

C. 4374

D. \(-\frac{40}{3}\)

A. 24

B. 26

C. 25

D. 50

A. \(V=\frac{{{a}^{3}}\sqrt{6}}{24}\)

B. \(V=\frac{{{a}^{3}}\sqrt{6}}{8}\)

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

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

A. \(1000\text{ m}.\)

B. \(500\text{ m}\text{.}\)

C. \(1500\text{ m}\text{.}\)

D. \(2000\text{ m}\text{.}\)

A. \(\frac{x+8}{2}=\frac{y+1}{5}=\frac{z-7}{11}\)

B. \(\frac{x+4}{2}=\frac{y+1}{1}=\frac{z+5}{-1}\) 

C. \(\frac{x-8}{2}=\frac{y-1}{5}=\frac{z+7}{11}\)

D. \(\frac{x-4}{2}=\frac{y-3}{5}=\frac{z-3}{11}\)

A. 1

B. 2

C. 3

D. 4

A. 3

B. 2

C. 1

D. 0

A. m = -4; n = 3

B. m = 4; n = 3

C. m = -4; n = 4

D. m = 4; n = -4

A. S = 12

B. \(S=\frac{14}{5}\).

C. \(S=\frac{12}{5}\).

D. S = 0