Đề thi thử THPT QG 2018 Chuyên Lê Khiết Quảng Ngãi (hay và khó)

A. \(\overrightarrow a = \left( {1; - 1; - 2} \right)\)

B. \(\overrightarrow a = \left( { - 1;1;2} \right)\)

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

D. \(\overrightarrow a = \left( {3; - 2;1} \right)\)

A. a

B. 2a

C. 3a

D. 4a

A. \(2{\rm{x}}\sqrt x + \frac{{3{{\rm{x}}^2}}}{2} + C\)

B. \(\frac{4}{3}{\rm{x}}\sqrt x + \frac{{3{{\rm{x}}^2}}}{2} + C\)

C. \(\frac{3}{2}{\rm{x}}\sqrt x + \frac{{3{{\rm{x}}^2}}}{2} + C\)

D. \(4{\rm{x}}\sqrt x + \frac{{3{{\rm{x}}^2}}}{2} + C\)

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

B. \(V = \pi Rh\)

C. \(V = 2\pi Rh\)

D. \(V = {R^2}h\)

A. \(\int\limits_a^b {f\left( {{x^2}} \right)} d{\rm{x}}\)

B. \(\pi \int\limits_a^b {f\left( {{x^2}} \right)} d{\rm{x}}\)

C. \(\pi \int\limits_a^b {{{\left[ {f\left( x \right)} \right]}^2}} d{\rm{x}}\)

D. \(\int\limits_a^b {{{\left[ {f\left( x \right)} \right]}^2}} d{\rm{x}}\)

A. \(x = - \sqrt 2\)

B. \(x = - 1\)

C. \(x = \sqrt 2 \)

D. \(x=0\)

A. (1;3)

B. (0;1)

C. (-5;1)

D. (1;7)

A. \(A_{20}^5\)

B. 5!

C. \(20^5\)

D. \(C_{20}^5\)

A. 2

B. 4

C. -2

D. 0

A. 210

B. 20

C. 120

D. 35

A. \({\rm{x}} - y + z - 1 = 0\)

B. \(2{\rm{x}} - y - 3z = 0\)

C. \({\rm{x}} - y + z - 3 = 0\)

D. \({\rm{x}} + y + z - 1 = 0\)

A. \(5{\rm{x}} - y + z - 9 = 0\)

B. \( - 5{\rm{x}} - y + z + 11 = 0\)

C. \(5{\rm{x}} + y - z + 11 = 0\)

D. \( - 5{\rm{x}} + y + z + 9 = 0\)

A. -5

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

C. \( - \frac{{13}}{7}\)

D. 0

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

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

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

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

A. \(\sqrt {10} \)

B. \(\sqrt 2 + \sqrt 5 \)

C. 5

D. \(2\sqrt 5 \)

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

B. \(y = \ln {\rm{x}}\)

C. \(y = \tan x\)

D. \(y = {e^{ - \frac{1}{{\sqrt x }}}}\)

A. \({\left( {1 + i} \right)^3}\)

B. \({\left( {1 + i} \right)^8}\)

C. \({\left( {1 + i} \right)^2}\)

D. \({\left( {1 + i} \right)^5}\)

A. 104 triệu người

B. 100 triệu người

C. 102 triệu người

D. 98 triệu người

A. \({a^c} = {b^d} \Leftrightarrow \frac{{\ln a}}{{\ln b}} = \frac{c}{d}\)

B. \({a^c} = {b^d} \Leftrightarrow \frac{{\ln a}}{{\ln b}} = \frac{d}{c}\)

C. \({a^c} = {b^d} \Leftrightarrow \ln \left( {\frac{a}{b}} \right) = \frac{d}{c}\)

D. \({a^c} = {b^d} \Leftrightarrow \ln \left( {\frac{a}{b}} \right) = \frac{c}{d}\)

A. 0

B. 10

C. \(\frac{1}{4}\)

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

A. \({\rm{ }}x + 2y + 3{\rm{z}} - 9 = 0\)

B. \({\rm{ }}x + 2y + 3{\rm{z}} - 13 = 0\)

C. \({\rm{ }}x + 2y + 3{\rm{z}} + 5 = 0\)

D. \({\rm{ }}x + 2y + 3{\rm{z}} + 13 = 0\)

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

B. 0

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

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

A. \(\frac{7}{6}\)

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

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

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

A. \(\frac{{16\sqrt 2 \pi {a^3}}}{3}\)

B. \(\frac{{16\pi {a^3}}}{3}\)

C. \(\frac{{16\sqrt 2 \pi {a^3}}}{6}\)

D. \(\frac{{32\sqrt 2 \pi {a^3}}}{3}\)

A. 1

B. 2

C. 4

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

A. \(45^o\)

B. \(60^o\)

C. \(90^o\)

D. \(30^o\)

A. 1

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

C. 0

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

A. \(S = - {20.5^{19}}\)

B. \(S = {20.5^{21}}\)

C. \(S = {20.5^{19}}\)

D. \(S = {20.5^{20}}\)

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

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

C. \(\sqrt {\frac{2}{7}} a\)

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

A. 3

B. 0

C. 2

D. 1

A. 4

B. 5

C. 3

D. 2

A. \(f\left( a \right) > f\left( b \right) > f\left( c \right)\)

B. \(f\left( c \right) > f\left( b \right) > f\left( a \right)\)

C. \(f\left( c \right) > f\left( a \right) > f\left( b \right)\)

D. \(f\left( b \right) > f\left( a \right) > f\left( c \right)\)

A. \({\log _3}2\)

B. 5

C. 0

D. \({\log _2}3\)

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

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

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

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

A. \(\frac{{4\pi {a^3}\sqrt 3 }}{{27}}\)

B. \(\frac{{\pi {a^3}\sqrt 3 }}{{24}}\)

C. \(\frac{{23\pi {a^3}\sqrt 3 }}{{216}}\)

D. \(\frac{{20\pi {a^3}\sqrt 3 }}{{217}}\)

A. \(\frac{3}{2} < \left| z \right| < 2\)

B. \(\left| z \right| > 2\)

C. \(\left| z \right| < \frac{1}{2}\)

D. \(\frac{1}{2} < \left| z \right| < \frac{3}{2}\)

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

B. 4

C. 3

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

A. 17

B. 16

C. 15

D. 18

A. \(\frac{3}{2} < f\left( 1 \right) < 2\)

B. \(3 < f\left( 1 \right) < \frac{7}{2}\)

C. \(\frac{5}{2} < f\left( 1 \right) < 3\)

D. \(2 < f\left( 1 \right) < \frac{5}{2}\)

A. 2016

B. 2019

C. 2017

D. 2018

A. \(S = \frac{{{2^{2018}} - 1}}{3}\)

B. \(S = \frac{{{2^{2019}} + 1}}{3}\)

C. \(S = \frac{{{2^{2019}} - 1}}{3}\)

D. \(S = \frac{{{2^{2018}} + 1}}{3}\)

A. 2

B. 1

C. 3

D. 4

A. T = 5

B. T = 3

C. T = 2

D. T = 4

A. \(\max P = 4\sqrt 5 \)

B. \(\max P = 7\sqrt 5 \)

C. \(\max P = 5\sqrt 5 \)

D. \(\max P = 6\sqrt 5 \)

A. \(4,36c{m^3}\)

B. \(5,37c{m^3}\)

C. \(5,{\rm{ }}61c{m^3}\)

D. \(4,53c{m^3}\)

A. 9

B. 2

C. 3

D. 5

A. 3

B. 5

C. 2

D. 4