Đề thi thử THPT QG năm 2021 môn Toán - Trường THPT Chuyên Hạ Long lần 3

A. \({{S}_{tp}}=16\pi \).

B. \({{S}_{tp}}=20\pi \).

C. \({{S}_{tp}}=24\pi \).

D. \({{S}_{tp}}=12\pi \).

A. \(x=4\).

B. \(x=2\).

C. \(x=3\).

D. \(x=1\).

A. \((1;2)\)

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

C. \((1;+\infty )\)

D. \((-\infty ;5)\)

A. -1

B. 1

C. -3

D. 3

A. \(\frac{\sqrt{5}}{2}\)

B. \(\frac{\sqrt{13}}{2}\)

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

D. \(\frac{\sqrt{17}}{2}\)

A. \(\frac{5}{3}\)

B. \(-\frac{3}{4}\)

C. \(-\frac{1}{5}\)

D. \(\frac{5}{8}\)

A. \(\left[ -1;+\infty  \right)\).

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

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

D. \(\left( -\infty ;-1 \right]\)

A. \(\left\{ \begin{align} & x=-2+4t \\ & y=-6t \\ & z=1+2t \\ \end{align} \right. \)

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

C. \(\left\{ \begin{align} & x=4+2t \\ & y=-6-3t \\ & z=2+t \\ \end{align} \right. \)

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

A. \(-5\cos 5x+C\)

B. \(5\cos 5x+C\)

C. \(-\frac{1}{5}\cos 5x+C\)

D. \(\frac{1}{5}\cos 5x+C\)

A. Đạt cực tiểu tại \(x=1.\)

B. Đạt cực đại tại \(x=-1.\)

C. Đạt cực tiểu tại \(x=2.\)

D. Đạt cực tiểu tại \(x=0.\)

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

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

C. \({{6}^{3}}.\)

D. \(A_{6}^{3}.\)

A. \(\frac{1023}{2}\)

B. 1364

C. \(\frac{341}{2}\)

D. 682

A. \(S=\int\limits_{0}^{4}{f(x)d\text{x}}\)

B. \(S=\int\limits_{0}^{1}{f(x)d\text{x}}-\int\limits_{1}^{4}{f(x)d\text{x}}\)

C. \(S=-\int\limits_{0}^{4}{f(x)d\text{x}}\)

D. \(S=-\int\limits_{0}^{1}{f(x)d\text{x}}+\int\limits_{1}^{4}{f(x)d\text{x}}\)

A. \(2+\sqrt{2}\)

B. \(1+\sqrt{2}\)

C. \(2+\sqrt{5}\)

D. \(1+\sqrt{5}\)

A. \(-\frac{1}{2}+2i\)

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

C. \(-1+2i\)

D. \(-1-2i\)

A. \(y={{x}^{4}}-3{{\text{x}}^{2}}\)

B. \(y=-\frac{1}{4}{{x}^{4}}+3{{\text{x}}^{2}}\)

C. \(y=-{{x}^{4}}-2{{x}^{2}}\)

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

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

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

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

D. \(8{{\text{a}}^{3}}\)

A. \({{e}^{2}}-1.\)

B. \({{e}^{2}}-e.\)

C. \({{e}^{2}}+e.\)

D. \(e-{{e}^{2}}.\)

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

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

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

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

A. 3

B. 2

C. 4

D. 1

A. -1

B. 1

C. -9

D. 9

A. \(90{}^\circ \)

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

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

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

A. m = 1

B. m = 2

C. \(m=\frac{2}{3}\)

D. \(m=\frac{1}{3}\)

A. \({y}'=\frac{1}{x(\ln 3-2\ln 2)}\)

B. \({y}'=\frac{1}{\left| x \right|(\ln 3-2\ln 2)}\)

C. \({y}'=\frac{\ln 3}{2\text{x}\ln 2}\)

D. \({y}'=\frac{\ln 3}{2\left| x \right|\ln 2}\)

A. \(6x-3y-2z+12=0\).

B. \(6x-3y+2z-12=0\).

C. \(6x+3y+2z-12=0\).

D. \(6x-3y-2z-12=0\).

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

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

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

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

A. 3

B. 5

C. 4

D. 6

A. 2

B. 4

C. 3

D. 1

A. 8\(\pi \) dm³.

B. \(\frac{15}{2}\pi \)dm³.

C. \(\frac{14}{3}\pi \)dm³.

D. \(\frac{15}{2}\)dm³.

A. \(1<a<2.\)

B. \(a<-2.\)

C. \(a\ge 3.\)

D. \(0<a\le 1.\)

A. \(V=3\pi {{a}^{3}}\).

B. \(V=9\pi {{a}^{3}}\).

C. \(V=27\pi {{a}^{3}}\).

D. \(V=12\pi {{a}^{3}}\).

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

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

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

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

A. \(a+b=\frac{11}{2}.\)

B. \(a+b=\frac{19}{3}.\)

C. \(a+b=1.\)

D. \(a+b=5.\)

A. \(\Delta :\frac{x-2}{2}=\frac{y}{1}=\frac{z-2}{-1}.\)

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

C. \(\Delta :\frac{x-3}{3}=\frac{y-1}{1}=\frac{z-1}{1}.\)

D. \(\Delta :\frac{x-3}{2}=\frac{y-1}{-5}=\frac{z-1}{-1}.\)

A. \(\sqrt[3]{\frac{3}{4\pi }}\left( dm \right)\)

B. \(\sqrt[3]{\frac{3}{8\pi }}\left( dm \right)\)

C. \(\sqrt[3]{\frac{3}{2\pi }}\left( dm \right)\)

D. \(\sqrt[3]{2\pi }\left( dm \right)\)

A. 3

B. 4

C. 1

D. 2

A. \(2a=b.\)

B. \({{a}^{3}}={{b}^{2}}.\)

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

D. \(3a=2b.\)

A. 8

B. 5

C. 3

D. 2

A. \(\frac{625}{1701}\)

B. \(\frac{1}{9}\)

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

D. \(\frac{1250}{1701}\)

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

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

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

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

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

B. \(\frac{25}{4}.\)

C. \(\frac{27}{4}.\)

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

A. 4

B. 3

C. 2

D. Vô số

A. \(\sqrt{2}<\left| f(1) \right|<2\)

B. \(\left| f(1) \right|\le \sqrt{2}\)

C. \(\left| f(1) \right|\ge 2\sqrt{2}\)

D. \(2\le \left| f(1) \right|>2\sqrt{2}\)

A. 11

B. 10

C. 9

D. 12

A. 1

B. 2

C. 5

D. 3

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

B. \(S=\frac{1}{4}\).

C. \(S=\frac{17}{24}\).

D. \(S=\frac{3}{4}\).

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

B. 3

C. 6

D. \(6\sqrt{2}\)

A. P = 20

B. P = 72

C. P = 125

D. P = 39

A. \({{r}_{1}}=\sqrt{14}\).

B. \({{r}_{1}}=12\).

C. \({{r}_{1}}=2\sqrt{14}\).

D. \({{r}_{1}}=6\).