Đề thi thử THPT QG năm 2021 môn Toán - Trường THPT Tô Hiến Thành lần 3

A. \(20\).

B. \(10\).

C. \(5\).

D. \(120\).

A. \(185\).

B. \(255\).

C. \(480\).

D. \(250\).

A. \(\left( 2;+\infty  \right)\).

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

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

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

A. \(x=-1\).

B. \(x=1\).

C. \(x=2\).

D. \(x=-2\).

A. 1

B. 2

C. 3

D. 4

A. \(y=1\).

B. \(y=-1\).

C. \(y=3\).

D. \(y=-3\).

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

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

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

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

A. 0

B. \(-1\).

C. 2

D. \(-2\).

A. \(P=\frac{{{x}^{3}}}{{{y}^{5}}}\).

B. \(P={{x}^{3}}-{{y}^{5}}\).

C. \(P=15xy\).

D. \(P=3x-5y\).

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

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

C. \({y}'=\frac{{{a}^{x}}}{\ln a}\).

D. \({y}'=x.{{a}^{x-1}}\).

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

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

C. \({{a}^{6}}\).

D. \({{a}^{\frac{1}{6}}}\).

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

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

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

D. \(x=-\frac{3}{2}\).

A. \(x=\frac{27}{2}\).

B. \(x=\frac{81}{2}\).

C. \(x=32\).

D. \(x=3\).

A. \(\int{f\left( x \right)dx=\frac{2}{3}{{x}^{3}}-3x+C}\).

B. \(\int{f\left( x \right)dx=\frac{2}{3}{{x}^{3}}-3+C}\)

C. \(\int{f\left( x \right)dx=\frac{2}{3}{{x}^{3}}+3x+C}\).

D. \(\int{f\left( x \right)dx=\frac{2}{3}{{x}^{3}}+C}\).

A. \(\int{f\left( x \right)dx=3\cos 3x+C}\).

B. \(\int{f\left( x \right)dx=\frac{1}{3}\cos 3x+C}\).

C. \(\int{f\left( x \right)dx=-\frac{1}{3}\cos 3x+C}\).

D. \(\int{f\left( x \right)dx=-3\cos 3x+C}\).

A. 14

B. - 4

C. 8

D. 2

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

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

C. \(-\frac{\sqrt{2}}{2}\).

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

A. 5

B. 25

C. 7

D. 1

A. 2

B. 2i

C. -2i

D. -2

A. \({{z}_{3}}=3+2i\).

B. \({{z}_{3}}=\frac{3}{2}+i\).

C. \({{z}_{3}}=-\frac{3}{2}+2i\).

D. \({{z}_{3}}=-3+2i\).

A. \(16\pi \)(đvtt).

B. \(\dfrac{16}{3}\) (đvtt).

C. \(\frac{16}{3}\pi \) (đvtt).

D. \(8\pi \) (đvtt).

A. 27

B. 9

C. 6

D. 16

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

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

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

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

A. \(20\pi \,\text{c}{{\text{m}}^{2}}\).

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

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

D. \(10\pi \,\text{c}{{\text{m}}^{2}}\).

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

B. \(G\left( 0\,;\,-1\,;\,-1 \right)\).

C. \(G\left( 6\,;\,-3\,;\,-3 \right)\).

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

A. \(I\left( 2\,;\,-4\,;\,6 \right)\).

B. \(I\left( -2\,;\,4\,;\,-6 \right)\).

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

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

A. \(N\left( 4\,;\,-1\,;\,1 \right)\).

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

C. \(P\left( 0\,;\,-5\,;\,-1 \right)\).

D. \(Q\left( -2\,;\,3\,;\,11 \right)\).

A. \(\overrightarrow{{{u}_{1}}}=\left( 1;-4;0 \right)\).

B. \(\overrightarrow{{{u}_{2}}}=\left( -4;-2;1 \right)\).

C. \(\overrightarrow{{{u}_{3}}}=\left( 2;2;1 \right)\).

D. \(\overrightarrow{{{u}_{4}}}=\left( 1;4;0 \right)\).

A. \(\frac{7}{18}\).

B. \(\frac{5}{18}\).

C. \(\frac{5}{9}\).

D. \(\frac{7}{9}\).

A. \(-2\).

B. \(-1\).

C. 1

D. 2

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

B. \(y=-{{x}^{3}}-3x+2021\ \).

C. \(y={{x}^{3}}-2{{x}^{2}}+x+2021\).

D. \(y=-2{{x}^{4}}+4{{x}^{2}}-2021\).

A. \(3\sqrt{2}-3\).

B. \(2\sqrt{2}-5\).

C. \(3\sqrt{3}-5\).

D. \(3\sqrt{3}-3\).

A. \(T=\left( -\infty ;\ -\frac{7}{2} \right)\cup \left[ 1;\ +\infty  \right)\)

B. \(T=\left( -\infty ;\ -\frac{9}{2} \right)\cup \left( 1;\ +\infty  \right)\)

C. \(T=\left[ -\frac{9}{2};\ 1 \right]\).

D. \(T=\left( -\frac{9}{2};\ 1 \right)\).

A. i

B. 1

C. -1

D. 4

A. \(\sqrt{3}\) 

B. \(\frac{\sqrt{15}}{5}\).

C. \(\sqrt{2}\).

D. 1

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

B. a

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

D. 2a

A. \({{x}^{2}}+{{y}^{2}}+{{z}^{2}}+4x-6y+2z-22=0\).

B. \({{x}^{2}}+{{y}^{2}}+{{z}^{2}}-4x+6y-2z-22=0\).

C. \({{x}^{2}}+{{y}^{2}}+{{z}^{2}}+12x+2y+6z-10=0\).

D. \({{x}^{2}}+{{y}^{2}}+{{z}^{2}}-12x-2y-6z-10=0\).

A. \(\left\{ {\begin{array}{*{20}{l}} {x = - 1 + 6t}\\ {y = 1 + 3t}\\ {z = 3 - 2t} \end{array}} \right.\)

B. \(\left\{ {\begin{array}{*{20}{l}} {x = 1 + 6t}\\ {y = - 1 + 3t}\\ {z = - 3 - 2t} \end{array}} \right.\)

C. \(\left\{ {\begin{array}{*{20}{l}} {x = 6 - t}\\ {y = 3 + t}\\ {z = - 2 + 3t} \end{array}} \right.\)

D. \(\left\{ {\begin{array}{*{20}{l}} {x = - 6 - t}\\ {y = - 3 + t}\\ {z = 2 + 3t} \end{array}} \right.\)

A. \(f\left( 0 \right)\) và \(f\left( 4 \right)-8\).

B. \(f\left( 0 \right)\) và \(f\left( -1 \right)-2\).

C. \(f\left( 4 \right)-8\) và \(f\left( 1 \right)-2\).

D. \(f\left( 16 \right)-32\) và \(f\left( -1 \right)-2\).

A. \(m={{3}^{10}}-2\)

B. \(m={{3}^{5}}-2\).

C. \(m={{3}^{15}}-2\)

D. \(m={{3}^{20}}-2\).

A. \(15+\frac{1}{2}\ln 6\).

B. \(15-\frac{1}{5}\ln 6\).

C. \(15+\frac{1}{5}\ln 6\).

D. \(15-\frac{1}{2}\ln 6\).

A. 1

B. 0

C. 2

D. 4

A. \(\frac{8{{a}^{3}}}{9}\).

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

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

D. \(\frac{4{{a}^{3}}}{9}\).

A. \(7,568,000\).

B. \(10,405,000\).

C. \(9,977,000\).

D. \(8,124,000\).

A. \(\left\{ \begin{array}{l} x = 1 + 18t\\ y = 2 - 3t\\ z = - 1 + t \end{array} \right.\)

B. \(\left\{ \begin{array}{l} x = - 17 + 18t\\ y = 5 + 3t\\ z = t \end{array} \right.\)

C. \(\left\{ \begin{array}{l} x = 1 - 18t\\ y = 2 - 3t\\ z = - 1 + t \end{array} \right.\)

D. \(\left\{ \begin{array}{l} x = - 17 + 18t\\ y = 5 - 3t\\ z = - \,t \end{array} \right.\)

A. 3

B. 5

C. 7

D. 6

A. 12

B. 6

C. 7

D. 8

A. -1

B. -2

C. -3

D. -4

A. 6

B. 10

C. 18

D. 34

A. \(\left( \sqrt{3};0;0 \right)\).

B. \(\left( \sqrt{3};\sqrt{3};0 \right)\).

C. \(\left( \sqrt{3};2;1 \right)\).

D. \(\left( \sqrt{3};\sqrt{2};\sqrt{3} \right)\).