Bộ đề minh họa môn Toán THPT Quốc gia năm 2022 (35 đề) !!

A.\[10\].

B. \[8\].

C.\[80\].

D.\[18\].

A.\[54\].

B. \[6\].

C.\[18\].

D.\[12\].

A.\[\frac{3}{4}\pi {l^2}\].

B.\[2\pi r{l^2}\].

C.\[4\pi {r^2}\].

D.\[\frac{3}{4}{\pi ^2}l\].

A.\(\left( { - 2;\,2} \right)\).

B.\(\left( {0;\,2} \right)\).

C.\(\left( {3;\, + \infty } \right)\).

D.\(\left( { - \infty ;\,1} \right)\).

A. 9.

B. 27.

C. 3.

D. 81.

A. \[x = 4\].

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

C. \[x = 2\].

A.\[f\left( 1 \right) = - 2.\]

B. \[f\left( 1 \right) = 10.\]

C. \[f\left( 1 \right) = - 10.\]

D. \[f\left( 1 \right) = 2.\]

A.\(x = - 2\).

B.\(x = - 1\).

C. \(x = - 4\).

D. \(x = 1\).

A.\(4\).

B.\({\log _a}b\).

C.\(1\).

D.\(4{\log _a}b\).

A. \({e^x} - \frac{2}{x} + C\).

B. \({e^x} - 2\ln {x^2} + C\).

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

D. \({e^x} + \frac{1}{x} + C\).

A. \(1\).

B. \(\sqrt 3 \).

C. \(\sqrt 5 \).

D. \(3\).

A. \( - 1\).

B. 1.

C. 0.

D. 3.

A. \(\overrightarrow n = \left( { - 3;\, - 6;\, - 2} \right)\).

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

C.\(\overrightarrow n = \left( {3;\,6;\, - 2} \right)\).

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

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

B. \(P\left( {5; - 2; - 1} \right)\).

C. \(Q\left( { - 1;0; - 5} \right)\).

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

A. 45$°$

B. 60$°$

C. 30$°$

D. 90$°$

A. \(3\).

B. \(0\).

C. \(1\).

D. \(2\)

A. \(\frac{{23}}{2}\).

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

C. \( - 2\).

D. \(16\).

A. \({a^{ - 9}} = {b^8}\).

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

C. \({a^4} = {b^3}\).

D. \(a = {b^3}\).

A. \(\left( { - \infty ;\,\, - 2} \right)\).

B. \(\left( { - \infty ;\,\, - 2} \right) \cup \left( {1;\,\, + \infty } \right)\).

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

D. \(\left( {1;\,\, + \infty } \right)\).

A. \[{S_{xq}} = 2\sqrt 2 \pi .\]

B.\[{S_{xq}} = 4\pi .\]

C.\[{S_{xq}} = \sqrt 2 \pi .\]

D. \[{S_{xq}} = 2\pi .\]

A.\[0\].

B.\[3\].

C.\[1\].

D.\[2\].

A. \[x + 6\ln \left( {x - 2} \right) + C\].

B.\(x + 6\ln \left( {2 - x} \right) + C\).

C.\(x - \frac{6}{{{{\left( {x - 2} \right)}^2}}} + C\).

D. \[x + \frac{6}{{{{\left( {x - 2} \right)}^2}}} + C\].

A. \(7879\) triệu người.

B. \(7680\) triệu người.

C. \(7782\) triệu người.

D. \(7777\) triệu người.

A. 480 cm³

B. 360 cm³.

C. 240 cm³

D. 120 cm³

A.\(1\).

B.\(2\).

C.\(3\).

D. \(4\).

A. \(a < 0,\,c < 0,\,d < 0\).

B. \(a < 0,\,c >0,\,d < 0\).

C. \(a >0,\,c >0,\,d >0\).

D. \(a >0,\,c < 0,\,d >0\).

A. \(2 - 2i\).

B. \(2i\).

C. \(2\).

D. \(2 + 2i\).

A. \(3\).

B.\(2\).

C.\[1\].

D.\(0\).

A. \(0\).

B.\(1\).

C.\[2\].

D.\(3\).

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

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

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

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

A.\(x - y - 4z + 10 = 0\).

B. \(x + y + 4z - 8 = 0\).

C. \(x - y + 4z - 6 = 0\).

D. \(x + y - 4z + 8 = 0\).

A. \(\overrightarrow u = \left( { - 3;\,0;\,2} \right)\).

B. \(\overrightarrow u = \left( {0;\,3;\,1} \right)\).

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

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

A. \(\frac{4}{{135}}.\)

B. \(\frac{4}{{85}}.\)

C. \(\frac{3}{{20}}.\)

D. \(\frac{5}{{158}}.\)

A. \(\frac{{a\sqrt 5 }}{{10}}\).

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

C. \(\frac{{2a\sqrt 5 }}{5}\).

D. \(\frac{{a\sqrt 5 }}{{15}}\).

A. \(\frac{{52}}{6}\).

B. \( - \frac{{101}}{6}\).

C. \(\frac{{43}}{6}\).

D. \( - \frac{{29}}{6}\).

A. \(m \in {\rm{[}}0; + \infty )\).

B. \(m \in ( - \infty ;0)\).

C. \(m \in (0;1) \cup (1; + \infty )\).

D. \(m \in {\rm{[}}0;1) \cup (1; + \infty )\).

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

B. \(\frac{{16\sqrt {10} \pi }}{3}\).

C. \(\frac{{8\sqrt {10} \pi }}{3}\).

D. \(\frac{{8\sqrt 3 \pi }}{3}\).

A. \(\frac{a}{b} \in \left( {2;3} \right)\).

B. \(\frac{a}{b} \in \left( {3;9} \right)\).

C. \(\frac{a}{b} \in \left( {0;2} \right)\).

D. \(\frac{a}{b} \in \left( {9;16} \right)\).

A. \[ - \frac{1}{3}\].

B. \[2\].

C. \[\frac{2}{3}\].

D. \[\frac{8}{3}\].

A. \[4033\].

B. \[4034\].

C. \[4035\].

D. \[4036\].

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

B. \( - \cos x + \sin x + x + C\).

C. \(\cos x - \sin x - x + C\)

D. \( - \cos x - \sin x - x + C\)

A. 3.

B. 5.

C. 0.

D. 1.

A. \(2041200\).

B. \(2041204\).

C. \(2041195\).

D. \(2041207\).

A. 1.

B. 2.

C. 10.

D. 4.

A.\[ - 2\].

B. \( - 24\).

C.\(8\).

D.\(16\).

A. \(\frac{3}{{2\sqrt {15} }}\).

B. \(\frac{1}{{\sqrt {15} }}\).

C. \(\frac{{\sqrt {14} }}{{\sqrt {15} }}\).

D. \(\frac{{\sqrt {14} }}{{3\sqrt {15} }}\).

A. \(7\)

B. \(6\)

C. \(13\)

D. \(12\)

A.306.

B. 1.

C. 35.

D. 17.

A.4.

B. 3.

C. 9.

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

A. \(\left( {\frac{1}{2};2} \right)\).

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

C.\(\left( { - 1;0} \right)\).

D. \(\left( {3;6} \right)\).

A. \(\left( {1; + \infty } \right)\).

B. \(\left[ {1; + \infty } \right)\).

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

D.\(\left( {3; + \infty } \right)\).

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

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

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

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

A. \[F'\left( x \right) = - f\left( x \right)\], \[\forall x \in K\].

B. \[g'\left( x \right) = G\left( x \right)\], \[\forall x \in K\].

C. \[F'\left( x \right) + G'\left( x \right) = f\left( x \right) - g\left( x \right)\], \[\forall x \in K\].

D. \[F'\left( x \right) + G'\left( x \right) = f\left( x \right) + g\left( x \right)\], \[\forall x \in K\].

A. \(8\).

B. \(24\).

C. \(12\).

D. \(72\).

A.\(R = a\).

B.\(R = a\sqrt 2 \).

C.\(R = a\sqrt 3 \).

D.\(R = 2a\).

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

B. \(V = \frac{4}{3}\pi {R^3}\).

C. \(S = 4\pi {R^2}\).

D. \(3V = S.R\).

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

B. \(\left( { - 1;\,\,1} \right)\).

C. \(\left( { - \infty ;\,\, - 1} \right)\).

D. \[8a + d\].

A.\(y' = \frac{{{7^x}}}{{\ln 7}}\) .

B.\(y' = {7^x}\ln 7\).

C.\(y' = x{.7^{x - 1}}\).

D.\(y' = {7^{x - 1}}\ln 7\).

A. \(2\).

B. \(0\).

C. \(1\).

D. Vô số.

A. \(x = 3\).

B. \(x = 1\).

C. \(x = 2\).

D. \(x = - 1\).

A. \(a >0;d >0\).

B. \(a < 0;d >0\).

C. \(a >0;d < 0\).

D. \(a < 0;d < 0.\)

A. \[y = 1\].

B. \[y = - 2\].

C. \[x = 1\].

D. \[x = - 2\].

A. \[\left[ {4; + \infty } \right)\].

B. \[\left[ {2; + \infty } \right)\].

C. \[\left( {4; + \infty } \right)\].

D. \[\left( { - \infty ;4} \right]\].

A. \(6\).

B. \(5\).

C. \(3\).

D. \(4\).

A. 3.

B. 2.

C. 1.

D. 4.

A. \(\left( {4;3} \right)\).

B. \(\left( { - 4;3} \right)\).

C. \(\left( {4; - 3} \right)\).

D. \(\left( { - 4; - 3} \right)\).

A. \(\overline w = 3 - 7i\).

B. \(\overline w = 7 - 3i\).

C. \(\overline w = 7 + 3i\).

D. \(\overline w = 4 - i\).

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

B. \(N\left( {0\,;\, - 1} \right)\).

C. \(P\left( {1\,;\,0} \right)\).

D. \(Q\left( {0;\,1} \right)\).

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

B. \(\left( {3\,;\, - 1\,;\,0} \right)\).

C. \(\left( {3\,;\,0\,;\,2} \right)\).

D. \(\left( {0\,;\, - 1\,;\,2} \right)\).

A.\(I\left( {1;2;3} \right);R = 3\).

B.\(I\left( { - 1;2; - 3} \right);R = 3\).

C.\(I\left( {1; - 2;3} \right);R = 3\).

D.\(I\left( {1;2; - 3} \right);R = 3\).

A.\(x + 2z = 0\).

B. \(x - 2z = 0\).

C. \(y - z - 2 = 0\).

D.\(y + z = 0\).

A. Song song.

B. Chéo nhau.

C. Cắt nhau.

D. Trùng nhau.

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

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

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

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

A. \(2\).

B. \(3\).

C. \(1\).

D. \(4\).

A. \[20\].

B. \[13\].

C. \[ - 3\].

D. \[ - 7\].

A. \[a = {b^5}\].

B. \[{a^5} = {b^3}\].

C. \[{a^5}.b = 1\].

D. \[{a^5}.{b^3} = 1\].

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

B. \(y = {x^3} - 6{x^2} + 9x + 2.\)

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

D. \(y = {x^3} - 6{x^2} + 9x - 2.\)

A. \(\left( { - \infty ;\frac{1}{2}} \right] \cup \left[ {16; + \infty } \right)\).

B. \(\left( { - \infty ;\frac{1}{2}} \right) \cup \left( {16; + \infty } \right)\).

C. \(\left( {0;\frac{1}{2}} \right] \cup \left[ {16; + \infty } \right)\).

D. \(\left( {0;\frac{1}{2}} \right) \cup \left( {16; + \infty } \right)\).

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

B. \(\pi {a^2}\sqrt 2 \).

C. \(8\pi {a^2}\).

D. \(4\pi {a^2}\sqrt 2 \).

A. \(I = 4\).

B. \(I = - 4\).

C. \(I = - 2\).

D. \(I = 2\).

A.\(S = \pi \int\limits_0^2 {\left( {2{x^2} - 2} \right){\rm{d}}x} \).

B.\(S = 2\int\limits_0^2 {\left| {{x^2} - 1} \right|{\rm{d}}x} \).

C.\(S = \int\limits_0^2 {\left( {2{x^2} - 2} \right){\rm{d}}x} \).

D.\(S = 2\pi \int\limits_0^2 {\left| {{x^2} - 1} \right|{\rm{d}}x} \).

A. \(M\).

B. \(N\).

C. \[P\].

D. \(Q\).

A. \(6\).

B. \(\sqrt 2 \).

C. \(4\).

D. \(\sqrt 6 \).

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

B. \(6x - 2y - 2z - 1 = 0\).

C. \(3x - y - z + 1 = 0\).

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

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

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

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

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

A. \(\frac{1}{{247}}\) .

B. \(\frac{1}{{481}}\).

C. \(\frac{{18}}{{9139}}\).

D. \(\frac{1}{{5928}}\) .

A. \(\frac{{a\sqrt {210} }}{{70}}\).

B. \(\frac{{2a\sqrt {210} }}{{35}}\).

C. \(\frac{{3a\sqrt {210} }}{{35}}\).

D. \(\frac{{a\sqrt {210} }}{{35}}\).

A. 3.

B. 4.

C. 5

D. 6.

A. \(39\) (ngày).

B. \(40\) (ngày).

C. \(41\) (ngày).

D. \(42\) (ngày).

A. \(1\).

B.\(2\).

C. \(3\).

D. \(4\).

A.\(506\).

B.\(\frac{{1009}}{2}\).

C.\(\frac{{2019}}{2}\).

D.\[505\].

A. \(169\pi {a^3}\).

B. \(52\pi {a^3}\).

C.\(104\pi {a^3}\).

D. \(\frac{{104\pi {a^3}}}{3}\).

A. \(11\).

B. \(12\).

C. \(10\).

D. \(9\).

A. \[\left( {13;15} \right)\].

B. \[\left( { - 15, - 13} \right)\].

C. \[\left( {4;6} \right)\].

D. \[\left( { - 6; - 4} \right)\].

A. \(V = \frac{{9\sqrt 2 {a^3}}}{{320}}\).

B. \(V = \frac{{3\sqrt 2 {a^3}}}{{320}}\).

C. \(V = \frac{{\sqrt 2 {a^3}}}{{96}}\).

D. \(V = \frac{{3\sqrt 2 {a^3}}}{{80}}\).

A. \[2020\].

B. \[P = 2018\].

C. \[P = 2019\].

D. \[P = 2021\].

A. \(2018.\)

B. \(2019.\)

C. \(2020.\)

D. \(2021.\)

A. \(6\).

B. \(4\).

C. \(1\).

D. \(24\).

A. \({S_5} = 30\).

B. \({S_5} = 12\).

C. \({S_5} = 60\).

D. \({S_5} = 24\).

A. \(\left( { - \infty \,;\,15} \right)\).

B. \(\left( {15\,;\, + \infty } \right)\).

C. \(\left( { - \infty \,;\,3} \right)\).

D. \(\left( {3\,;\, + \infty } \right)\).

A. \(12\).

B. \(4\).

C. \(8\).

D. \(6\).

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

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

C. \(\left( { - \infty ; - \frac{1}{2}} \right)\).

D. \(\left( { - \infty ; - \frac{1}{2}} \right]\).

A. \[\int {kf\left( x \right){\rm{d}}x = k\int {f\left( x \right){\rm{d}}x} } \] với \(k \in \mathbb{R}\backslash \left\{ 0 \right\}\).

B. \(\int {\left[ {f\left( x \right)g\left( x \right)} \right]{\rm{d}}x = \int {f\left( x \right){\rm{d}}x.\int {g\left( x \right){\rm{d}}x} } } \).

C. \(\int {\left[ {f\left( x \right) + g\left( x \right)} \right]{\rm{d}}x = \int {f\left( x \right){\rm{d}}x + \int {g\left( x \right){\rm{d}}x} } } \).

D. \(\int {f'\left( x \right){\rm{d}}x = f\left( x \right) + C} \) với \[C \in \mathbb{R}\].

A. \(V = 12\).

B. \(V = 8\).

C. \(V = 16\).

D. \(V = 4\).

A. \(2\sqrt 2 a\).

B. \(\sqrt 2 a\) .

C. \(2a\).

D. \(a\).

A. 9

B. 10

C. 18

D. 27

A. \(\left( { - \infty ;1} \right)\).

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

C. \(\left( {7; + \infty } \right)\).

D. \(\left( { - 1; + \infty } \right)\).

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

B. \(3\).

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

D. \(3a\) .

A. \(45\pi {\rm{ c}}{{\rm{m}}^2}\).

B. \(90\pi {\rm{ c}}{{\rm{m}}^2}\).

C. \(30\pi {\rm{ c}}{{\rm{m}}^2}\).

D. \(15\pi {\rm{ c}}{{\rm{m}}^2}\).

A. \(x = 0\).

B. \(x = 2\).

C. \(y = 1\).

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

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

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

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

D. \(y = - 4{x^3} + 1\).

A. \(x = 3\).

B. \(x = - \frac{5}{3}\).

C. \(y = - \frac{5}{3}\).

D.\(y = 3\).

A.\(x \le \frac{4}{3}\).

B. \(x \ge \frac{{11}}{3}\).

C.\(x \le \frac{{11}}{3}\).

D.\(x \ge \frac{4}{3}\).

A. \[y\, = \, - \,{x^3}\, + \,3x\, + \,2\].

B. \[y\, = \, - \,{x^3}\, + \,3{x^2}\, - \,2\].

C. \[y\, = {x^3}\, - \,3x\, + \,2\].

A. \(I = \frac{9}{4}\).

B. \(I = 36\).

C. \(I = 13\).

D. \(I = 5\).

A. \(M\left( { - 2;3} \right)\).

B. \(M\left( {2; - 3} \right)\).

C. \(M\left( { - 3; - 2} \right)\).

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

A. \({z_1}.{z_2} = - 3 - 7i\).

B. \({z_1}.{z_2} = 9 - 7i\).

C. \({z_1}.{z_2} = 9 + 7i\).

D. \({z_1}.{z_2} = 7 - 9i\).

A. \(\frac{{43}}{3}\).

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

C. \(7\).

D. \(3\).

A. \(30\pi \,\left( {{\rm{c}}{{\rm{m}}^2}} \right)\).

B. \(28\pi \,\left( {{\rm{c}}{{\rm{m}}^2}} \right)\).

C. \(24\pi \,\left( {{\rm{c}}{{\rm{m}}^2}} \right)\).

D. \(26\pi \,\left( {{\rm{c}}{{\rm{m}}^2}} \right)\).

A. \[{(x - 2)^2} + {(y - 2)^2} + {z^2} = 4\].

B. \[{(x + 2)^2} + {(y + 2)^2} + {z^2} = 5\].

C. \[{(x - 2)^2} + {(y - 2)^2} + {z^2} = \sqrt 5 \].

D. \({(x - 2)^2} + {(y - 2)^2} + {z^2} = 5\).

A. \[\overrightarrow {{n_4}} \left( {4;2; - 2} \right)\].

B. \[\overrightarrow {{n_2}} \left( { - 2; - 1;1} \right)\].

C. \[\overrightarrow {{n_3}} \left( {2;1;1} \right)\].

D. \[\overrightarrow {{n_1}} \left( {2;1; - 1} \right)\].

A. \(\frac{x}{3} = \frac{y}{{ - 3}} = \frac{z}{{ - 5}}\).

B. \(\frac{x}{1} = \frac{y}{3} = \frac{z}{{ - 5}}\).

C. \(\frac{{x + 1}}{{ - 1}} = \frac{y}{3} = \frac{{z + 2}}{5}\).

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

A. \(a\sqrt 2 \).

B. \(a\).

C. \(2a\sqrt 2 \).

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

A. \(2\sqrt 3 \).

B. \(5\sqrt 2 \).

C. \(20\).

D. \(2\sqrt 5 \).

A. \(\frac{5}{{12}}\).

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

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

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

A. \(2019\).

B. \(2021\).

C. \(2020\).

D. \(2022\).

A. \[\left( { - 4;1} \right) \cup \left\{ 3 \right\}\].

B. \[\left( { - 4;1} \right] \cup \left\{ 3 \right\}\].

C. \[\left( { - \infty ;1} \right]\].

D. \[\left( { - 4;1} \right)\].

A. \(31\).

B. \(32\).

C. \(5\).

D. \(6\).

A. \[\frac{{3\pi {a^3}}}{4}\].

B. \(\frac{{7\pi {a^3}}}{3}\).

C. \(\frac{{4\pi {a^3}}}{3}\).

D. \(3\pi {a^3}\).

A. \(2\int\limits_{\sqrt 3 }^2 {{t^2}{\rm{d}}t} \).

B. \( - 2\int\limits_{\sqrt 3 }^2 {{t^2}{\rm{d}}t} \).

C. \(2\int\limits_{\sqrt 3 }^2 {t\sqrt {{t^2} - 3} {\rm{d}}t} \).

D. \[ - 2\int\limits_{\sqrt 3 }^2 {t\sqrt {{t^2} - 3} {\rm{d}}t} \].

A. \(S = \int\limits_{ - 1}^1 {\left( {{x^2} + x} \right)} {\rm{d}}x\).

B. \(S = \int\limits_1^{ - 1} {\left( {{x^2} + x} \right)} {\rm{d}}x\).

C. \(S = \int\limits_0^3 {\left( {{x^2} - 3x} \right)} {\rm{d}}x\).

D. \(S = \int\limits_0^3 {\left( {3x - {x^2}} \right)} {\rm{d}}x\).

A. Độ dài của véc tơ \(\overrightarrow {OM} \) được gọi là mô đun của số phức \[z\].

B. Độ dài của đoạn thẳng \(MM'\) bằng mô đun của số phức \(z - z'\).

C. Số phức \(z\) được gọi là số phức liên hợp của số phức \(z'\) khi và chỉ khi điểm \(M\) đối xứng với điểm \(M'\) qua trục \(Oy\).

D. Số phức \(z\) được gọi là số phức đối của số phức \(z'\) khi và chỉ khi điểm \(M\) đối xứng với điểm \(M'\) qua gốc tạo độ \(O\).

A. \(P\left( {3;\,\,2} \right)\).

B. \(N\left( {1;\,\, - 2} \right)\).

C. \(Q\left( {3; - 2} \right)\).

D. \(M\left( {1;\,\,2} \right)\).

A. \(\left( d \right):\left\{ \begin{array}{l}x = 3 - 2t\\y = 2 - 5t\\z = 1\end{array} \right.\).

B. \(\left( d \right):\left\{ \begin{array}{l}x = 3 + 2t\\y = 2 + 5t\\z = 1\end{array} \right.\).

C. \(\left( d \right):\left\{ \begin{array}{l}x = 3 + 2t\\y = 2 - 5t\\z = t\end{array} \right.\).

D. \(\left( d \right):\left\{ \begin{array}{l}x = 3 + 2t\\y = 2 - 5t\\z = 1\end{array} \right.\)

A. \[x = 0\].

B. \[x + y + z = 0\].

C. \[y = 0\].

D. \[z = 0\].

A. \(\frac{1}{{24}}\).

B. \(\frac{1}{{36}}\).

C. \(\frac{1}{{12}}\).

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

A. \[\frac{{a\sqrt 6 }}{4}\].

B. \[\frac{{a\sqrt 2 }}{4}\].

C. \[\frac{{2a\sqrt 6 }}{3}\].

D. \[\frac{{3a\sqrt 2 }}{4}\]

A. \(29\).

B. \(28\).

C. \(30\).

D. \(27\).

A. \[{e^{34}}\] lần.

B. \({e^{35}}\) lần.

C. \({e^{ - 35}}\) lần.

D. \[{e^{ - 34}}\] lần.

A. 3

B. 4.

C. 5.

D. 6.

A. \[S = 576\pi (c{m^2})\].

B. \[S = 567\pi (c{m^2})\].

C. \[S = 675\pi (c{m^2})\].

D. \[S = 2304\pi (c{m^2})\]

A. \[\frac{{7\pi }}{{60}}\].

B. \[\frac{{7\pi }}{{50}}\].

C. \[\frac{\pi }{{10}}\].

D. \[\frac{{7\pi }}{{30}}\].

A.\(\left[ \begin{array}{l}m = 10\\m = - 2\end{array} \right.\).

B. \(m = 10\).

C. \(m = - 2\).

D. \(m \in \left( { - 2;10} \right)\).

A. \(M = 3\).

B. \[M = 6\].

C. \[M = 0\].

D. \(M = 1\).

A. \[ - 8\].

B. \[ - 4\].

C. \[4\].

D. \[8\].

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

B. \(\frac{{11}}{{18}}\).

C. \(\frac{{13}}{{18}}\).

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

A. \(\sqrt {13} - 3\) và \(\sqrt {13} - 3\).

B. \(\sqrt {13} - 3\).

C. \({\left( {\sqrt {13} - 3} \right)^2}\).

D. \({\left( {\sqrt {13} - 3} \right)^2}\) và \({\left( {\sqrt {13} + 3} \right)^2}\).

A. \(C_6^1.C_6^2.C_6^3\).

B. \(A_6^1.A_6^2.A_6^3\).

C. \(A_6^1.A_5^2.1\).

D. \(C_6^1.C_5^2.1\).

A. \({u_{10}} = - 31\).

B. \({u_{10}} = - 23\).

C. \({u_{10}} = - 20\).

D. \({u_{10}} = 15\).

A. \(S = \left\{ 0 \right\}\).

B. \(S = \left\{ 5 \right\}\).

C. \(S = \left\{ 4 \right\}\).

D.\(S = \left\{ {0\,;\,5} \right\}\).

A. \(\frac{1}{3}{a^3}\sqrt 2 \).

B. \(\frac{1}{3}{a^3}\sqrt 3 \).

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

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

A. \[D = ( - \infty ; - 1)\].

B. \[D = (0; + \infty )\].

C. \[D = \mathbb{R}\].

D. \[D = ( - \infty ; - 1) \cup (1; + \infty )\].

A. \(I = 2\int\limits_0^3 {\sqrt u } du\).

B. \(I = \int\limits_1^2 {\sqrt u } du\).

C. \(I = 2\int\limits_1^2 {\sqrt u } du\).

D. \(I = \int\limits_0^3 {\sqrt u } du\).

A. 5.

B. 10.

C. 15.

D. 30.

A. \[36\pi \].

B. \[12\pi \].

C. \[15\pi \].

D. \[45\pi \].

A. \[36\pi \].

B. \[18\pi \].

C. \[9\pi \].

D. \[72\pi \].

A. \((\frac{1}{2};\,1)\).

B. \((0;\,\frac{1}{2})\).

C. \(( - \infty ;\,0)\).

D. \((1;\, + \infty )\).

A. \(\frac{3}{2}{\log _2}a\).

B. \(\frac{1}{3}{\log _2}a\).

C. \(3 + 3{\log _2}a\).

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

A. \(6\pi l\)\(({m^2})\).

B. \(6l\)\(({m^2})\).

C. \(3l\)\(({m^2})\).

D. \(3\pi l\)\(({m^2})\).

A.\( - \frac{{25}}{4}\).

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

C.\( - 6\).

D.\(0\).

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

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

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

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

A.\[y = - 1\].

B.\[x = 1\].

C.\[x = - 1\].

D.\[x = 1\] và \[x = - 1\].

A. \(\left( {0; + \infty } \right)\).

B. \(\left( {2; + \infty } \right)\) .

C. \(\left( {4; + \infty } \right)\).

D. \(\left( {1; + \infty } \right)\).

A. \[2\].

B. \[1\].

C. \[ - 1\].

D. \[ - 2\].

A. \(1\).

B. \(3\) .

C. \(4\).

D. \(2\).

A. \(Q\left( {2\,;\, - 3} \right)\).

B. \(P\left( {2\,;3} \right)\).

C. \(N\left( {3\,;\, - 2} \right)\).

D. \(M\left( { - 3\,;\,2} \right)\).

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

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

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

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

A. \(Q\left( {1\,;\,2} \right)\).

B. \(P\left( { - 1\,; - \,2} \right)\).

C. \(N\left( {1\,;\, - 2} \right)\).

D. \(M\left( { - 1\,;\,2} \right)\).

A. \(\left( {2;0;0} \right)\).

B. \(\left( {2;0;1} \right)\).

C. \(\left( {0; - 3;1} \right)\).

D. \(\left( {2; - 3;0} \right)\).

A. \(\left( {1; - 2;0} \right)\).

B. \(\left( { - 1;2;0} \right)\).

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

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

A. \(M\left( {1;2;2} \right)\) .

B. \(N\left( {0;2;3} \right)\).

C. \(P\left( { - 1;4;2} \right)\) .

D. \(Q\left( { - 1;2;1} \right)\) .

A. \(\overrightarrow {{n_1}} = \left( {3\,; - 4;\,2} \right)\).

B. \(\overrightarrow {{n_2}} = \left( { - 3;0;4} \right)\).

C. \(\overrightarrow {{n_3}} = \left( {3; - 4;0} \right)\).

D. \(\overrightarrow {{n_4}} = \left( {4\,;0\,; - 3} \right)\).

A. \(60^\circ \).

B. \(90^\circ \).

C. \(30^\circ \).

D. \(45^\circ \).

A. \(4\).

B. \(2\).

C. \(3\).

D. \(1\).

A. -1.

B.11.

C.55.

D.48.

A. \(P = 6{\log _a}b\).

B. \(9{\log _a}b\).

C. \(15{\log _a}b\).

D. \(27{\log _a}b\).

A. 1.

B. 2.

C.3.

D.4.

A.\(2017\).

B.\(2018\).

C.\(2019\).

D.\(2020\).

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

B.\(2\sqrt 2 \pi {a^2}\).

C. \(4\pi {a^2}\).

D.\(4\sqrt 2 \pi {a^2}\).

A. \(\int\limits_{ - 1}^1 {\sqrt {{u^5}} du} \).

B. \(\frac{1}{3}\int\limits_{ - 1}^1 {\sqrt {{u^5}} du} \).

C. \(\int\limits_1^3 {\sqrt {{u^5}} du} \).

D.\(\frac{1}{3}\int\limits_1^3 {\sqrt {{u^5}} du} \).

A. \[S = \pi \int\limits_{ - 1}^3 {{{\left( {{x^3} - 2{x^2} - 3x} \right)}^2}dx} \].

B. \(S = \int\limits_{ - 1}^3 {\left( {{x^3} - 2{x^2} - 3x} \right)dx} \).

C.\(S = \int\limits_{ - 1}^0 {\left( {{x^3} - 2{x^2} - 3x} \right)dx} + \int\limits_0^3 {\left( {2{x^2} + 3x - {x^3}} \right)dx} \).

D. \(S = \int\limits_{ - 1}^0 {\left( {2{x^2} + 3x - {x^3}} \right)dx} + \int\limits_0^3 {\left( {{x^3} - 2{x^2} - 3x} \right)dx} \).

A. \(a = - 1\).

B. \(a = 2\).

C. \(a = \sqrt 3 \).

D. \(a = 0\).

A. \(2\).

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

C. \(\frac{{\sqrt {73} }}{2}\).

D. \(\frac{{\sqrt {73} }}{4}\).

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

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

C. \(x + y + 3z + 7 = 0\).

D.\(x + y + 3z - 7 = 0\).

A.\[\frac{{x - 1}}{{ - 1}} = \frac{{y - 1}}{2} = \frac{{z - 3}}{4}\].

B. \[\frac{{x + 1}}{{ - 1}} = \frac{{y - 2}}{2} = \frac{{z - 2}}{4}\].

C. \(\frac{{x + 1}}{4} = \frac{{y - 2}}{{ - 8}} = \frac{{z - 2}}{5}\).

D.\(\frac{{x - 1}}{4} = \frac{{y - 1}}{{ - 8}} = \frac{{z - 3}}{5}\).

A. \(\frac{{46}}{{125}}\).

B. \(\frac{{121}}{{625}}\).

C. \(\frac{{36}}{{125}}\).

D. \(\frac{{181}}{{625}}\).

A. \[\frac{{3a}}{2}\].

B. \[\frac{{2a}}{3}\].

C. \[\frac{{a\sqrt {15} }}{5}\].

D. \[\frac{{a\sqrt 6 }}{2}\].

A. \(5\).

B. \(4\).

C. \(3\).

D. \(2\).

A. \(160\).

A. \(a{\rm{d}} >0,{\rm{ }}ab < 0\).

B. \(b{\rm{d}} >0,{\rm{ }}a{\rm{d}} >0\).

C. \(b{\rm{d}} >0,{\rm{ }}ab >0\).

D. \(ab < 0,{\rm{ }}a{\rm{d}} < 0\).

A. \(8\pi {a^2}\).

B. \(\left( {4 + \sqrt 2 } \right)\pi {a^2}\).

C. \(8\sqrt 2 \pi {a^2}\).

D. \(\left( {8 + 8\sqrt 2 } \right)\pi {a^2}\).

A. \[\frac{{{e^{\frac{\pi }{2}}} - {e^{ - \frac{\pi }{2}}}}}{2}\].

B. \[\frac{{{e^{\frac{\pi }{2}}} + {e^{ - \frac{\pi }{2}}}}}{2}\].

C. \[0\].

D.\[1\] .

A.

B. \(3.\)

C. \(4\).

D. \(5\).

A.\[34\].

B.\[21\].

C.\[23\].

D.\[10\].

A. \(3\).

B. \(2\).

C. \(1\).

D. \(4\).

A. \(52\).

B. \(88\).

C. \(60\).

D. \(68\).

A. 2.

B. 3.

C. 4.

D. 1.

A. \(24\).

B. \(10\).

C. \(45\).

D. \(50\).

A. \(24\).

B. \(54\).

C. \( - 54\).

D. \( - 24\).

A. \[x = - 1\].

B. \[x = 0\].

C. \[x = 2\].

D. \[x = 1\].

A. \[4\].

B. \[12\].

C. \[8\].

D. \[18\].

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

B. \(D = \left[ { - 2;2} \right]\).

C. \(D = \left( {2; + \infty } \right)\).

D. \(D = \left( {4; + \infty } \right)\).

A. \(\int {{x^\alpha }{\rm{d}}x = \frac{{{x^{\alpha + 1}}}}{{\alpha + 1}} + C\,\,\left( {\alpha \ne - 1} \right)} \).

B. \(\int {\sin x{\rm{d}}x = - \cos x + C} \).

C. \(\int {{a^x}{\rm{d}}x = \frac{{{a^x}}}{{\ln a}} + C\,\,\left( {0

D. \(\int {\frac{1}{x}{\rm{d}}x = \ln x + C\,\,\left( {x \ne 0} \right)} \).

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

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

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

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

A.\(\frac{1}{3}\pi {a^3}\).

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

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

D.\(3\pi {a^3}\).

A.

B. \((1\,,\,3)\).

C.\((2\,,\, + \infty )\).

D. \((3\,,\, + \infty )\).

A.\(3\).

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

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

D. 4.

A. \[{S_{xq}} = 40\pi \].

B. \[{S_{xq}} = 20\pi \].

C. \[{S_{xq}} = 80\pi \].

D. \[{S_{xq}} = 100\pi \].

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

B. \[B\left( {2;5} \right)\].

C. \[x = 1\].

D. \[x = 2\].

A.

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

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

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

A. \(32\pi {a^3}\).

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

C. \(24\pi {a^3}\).

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

A. \(y = - 1\).

B. \(y = 0\).

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

D. \(x = 2\).

A. \(\left( {10\,;\, + \infty } \right)\).

B. \(\left( {0\,;\, + \infty } \right)\).

C. \(\left[ {0\,;\, + \infty } \right)\).

D. \(\left( { - \infty \,;\,10} \right)\).

A. \(3\).

B. \(2\).

C. \(1\).

D. \(4\).

A. \(42\).

B. \(38\).

C. \(34\).

D. \(32\).

A. \(\bar z = - 1 + 2i\).

B. \(\bar z = 2i + 1\).

C. \(\bar z = - 1 - 2i\).

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

A. \(i\).

B. 1.

C. 3.

D. \( - i\).

A. \(z = 4 - 4i\).

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

C. \(z = 2\).

D. \( - 1 + i\).

A. \(A\left( {0\,;\,8\,;\,0} \right)\).

B. \(A\left( {9\,;\,8\,;\,0} \right)\).

C. \(A\left( {9\,;\,0\,;\,0} \right)\).

D. \(A\left( {0\,;\,8\,;\, - 1} \right)\).

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

B. \(N\left( {0\,;\,1;\, - 3} \right)\).

C. \(P\left( {4\,;\,5;\,5} \right)\).

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

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

B. \(\frac{1}{{\sqrt 3 }}\).

C. \(\sqrt 2 \).

D. \(\sqrt 3 \).

A. \(1\).

B. \(2\).

C. \(3\).

D. \(4\).

A. \(a \in \left( {1;\;4} \right)\).

B. \(a \in \left( {4;\;7} \right)\).

C. \(a \in \left( {7;\;10} \right)\).

D. \(a \in \left( {10;\;13} \right)\).

A. \(\frac{{25}}{9}\).

B. \(\frac{{16}}{9}\).

C. \(\frac{9}{{16}}\).

D. \(2021\).

A. \(1\).

B. \(3\).

C. \(0\).

D. \(2\).

A. \(20\).

B. \(2\sqrt 5 \).

C. \(6\sqrt 5 \).

D. \(\sqrt 5 \)

A. \(\frac{{48\pi }}{3}\).

B. \(\frac{{80\pi }}{3}\).

C. \(\frac{{64\pi }}{3}\).

D. \(\frac{{32\pi }}{3}\).

A. \( - 12\).

B. \( - 15\).

C. \( - 6\).

D. \( - 9\).

A. \(\frac{{19}}{6}\).

B. \(\frac{{25}}{6}\).

C. \(\frac{{23}}{6}\).

D. \(\frac{{13}}{3}\).

A. \(7\sqrt 2 \).

B. \(3\sqrt 2 \).

C. \(\sqrt 2 \).

D. \(5\sqrt 2 \).

A.\[ - 12\].

B.\[ - 14\].

C.\[ - 13\].

D.\[11\].

A. \(2\).

B. \(1\).

C. \(3\).

D. \(4\).

A. \(1\).

B. \(2\).

C. \(3\).

D. \(4\).

A. 31680.

B. 63360.

C.15840.

D.3600.

B.\(\frac{{a\sqrt {609} }}{{29}}\).

C.\(\frac{{a\sqrt {600} }}{{29}}\).

D.\(\frac{{a\sqrt {906} }}{{29}}\).

A. \[m >1 - f\left( { - 1} \right)\].

B. \[m \ge 1 - f\left( { - 1} \right)\].

C. \[m \ge 1 - f\left( 4 \right)\].

D. \[m >1 - f\left( 4 \right)\].

A. 11 ngày.

B. 13 ngày.

C. 12 ngày.

D. 14 ngày.

A.\[\frac{{8\sqrt 5 }}{3}\].

B. \[8\sqrt 5 \].

C. \[16\sqrt 5 \].

D. \[\frac{{16\sqrt 5 }}{3}\].

A. \[0\].

B. \[1\].

C. \[2\].

D. \[ - 1\].

A. \(60.\)

B. \(63.\)

C. \(62.\)

D. \(61.\)

A.\(32.\)

B.\(4.\)

C.\(28.\)

D. \[16.\]

A. \(3\).

B. \(1\).

C.Vô số.

D. \(2\).

A. \(1302\).

B. \(2697\).

C. \(4263\).

D. \(4165\).

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

B. \(\frac{{17}}{7}\).

C. \(\frac{{25}}{7}\).

D. \(\frac{{25}}{{14}}\).

A. \(10\).

B. \(6\).

C. \(7\).

D. \(8\).

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

B. \(I\left( {0;\, - 2;\,1} \right),R = 2\).

C. \(I\left( {0;\,2;\, - 1} \right),R = 4\).

D. \(I\left( {0;\, - 2;\,1} \right),R = 4\).

A. \(\overrightarrow {{n_3}} = \left( {2;\,3;\,1} \right)\).

B. \(\overrightarrow {{n_1}} = \left( {3;\,2;\,1} \right)\).

C.\(\overrightarrow {{n_2}} = \left( {6;\,2;\,4} \right)\).

D.\(\overrightarrow {{n_4}} = \left( { - 2;\, - 3;\,1} \right)\).

A.\[ - \frac{1}{3}\sin 3x + C.\]

B.\[\frac{1}{3}\sin 3x + C.\]

C.\[ - 3\sin 3x + C.\]

D.\[3\sin 3x + C.\]

A.\[\vec n = \left( {0; - 4;3} \right).\]

B.\[\vec n = \left( {1{\mkern 1mu} ;{\mkern 1mu} 4{\mkern 1mu} ;{\mkern 1mu} 3} \right).\]

C.\[\vec n = \left( { - 1;4; - 3} \right).\]

D.\[\vec n = \left( { - 4;3; - 2} \right).\]

A.\[y' = \frac{2}{{2x + 3}}.\]

B.\[y' = \frac{1}{{2x + 3}}.\]

C.\[y' = \frac{2}{{\left( {2x + 3} \right)\ln 2}}.\]

D.\[y' = \frac{1}{{\left( {2x + 3} \right)\ln 2}}.\]

A.\[ + \infty .\]

B.0.

C.\[\frac{1}{{2019}}.\]

A.1.

B.\[ - 1.\]

C.\[ - i.\]

D.3.

A.\[\frac{1}{2}\ln 3.\]

B.\[2\ln 3.\]

C.\[ - \frac{1}{2}\ln 3.\]

D.\[\ln 3.\]

A.1.

B.2.

C.3.

D.0.

A.\[m = - 6.\]

B.\[m = 4.\]

C.\[m = - 2\]

D.\[m = - 4.\]

A.\[{\log _2}\left( {\frac{{2{a^2}}}{b}} \right) = 1 + \frac{1}{2}{\log _2} + {\log _2}b.\]

B.\[{\log _2}\left( {\frac{{2{a^2}}}{b}} \right) = 1 + 2{\log _2} + {\log _2}b.\]

C.\[{\log _2}\left( {\frac{{2{a^2}}}{b}} \right) = 1 + \frac{1}{2}{\log _2} - {\log _2}b.\]

D.\[{\log _2}\left( {\frac{{2{a^2}}}{b}} \right) = 1 + 2{\log _2} - {\log _2}b.\]

A.\[V = 12\pi .\]

B.\[V = 36\pi .\]

C.\[V = 15\pi .\]

D.\[V = 45\pi .\]

A.135.

B.22.

C.32.

D.72.

A.\[S = 7.\]

B.\[S = - 1.\]

C.\[S = 3.\]

D.\[S = - 3.\]

A.

B.\[S = - \int\limits_{ - 3}^{ - 2} {f\left( x \right)dx} + \int\limits_{ - 2}^0 {f\left( x \right)dx} .\]

C.\[S = \int\limits_{ - 3}^0 {f\left( x \right)dx} .\]

D.\[S = \int\limits_{ - 3}^{ - 2} {f\left( x \right)dx} - \int\limits_{ - 2}^0 {f\left( x \right)dx} .\]

A.\[\mathop {\min }\limits_{\left[ {1;4} \right]} {\mkern 1mu} y = 17.\]

B.\[\mathop {\min }\limits_{\left[ {1;4} \right]} {\mkern 1mu} y = 12.\]

C.\[\mathop {\min }\limits_{\left[ {1;4} \right]} {\mkern 1mu} y = 20.\]

D.\[\mathop {\min }\limits_{\left[ {1;4} \right]} {\mkern 1mu} y = 10.\]

A.\[m = 2.\]

B.\[m = - \frac{5}{4}.\]

C.\[m = 3.\]

D.\[m = - 2.\]

A.\[1 + 2i.\]

B.\[1 - 2i.\]

C.\[2 - i.\]

D.\[ - 2 + i.\]

A.3.

B.2.

C.1.

D.4.

A.\[ - \frac{1}{6}.\]

B.\[\frac{1}{6}.\]

C.\[ - \frac{1}{4}.\]

D.\[\frac{1}{4}.\]

A.\[24\pi .\]

B.\[20\pi .\]

C.\[22\pi .\]

D.\[26\pi .\]

A.4.

B.3.

C.2.

D.5.

A.\[S = 4.\]

B.\[S = 2.\]

C.\[S = 8.\]

D.\[S = 6.\]

A.18.

B.24.

C.12.

D.30.

A.\[S = 2.\]

B.\[S = 6.\]

C.\[S = 4.\]

D.\[S = 0.\]

A.\[\left\{ {2;5} \right\}.\]

B.\[\left\{ {3;6} \right\}.\]

C.\[\left\{ 2 \right\}.\]

D.\[\left\{ 3 \right\}.\]

A.\[\frac{{{a^3}}}{2}.\]

B.\[\frac{{{a^3}}}{3}.\]

C.\[\frac{{{a^3}}}{6}.\]

D.\[\frac{{2{a^3}}}{3}.\]

A.1.

B.4.

C.2.

D.3.

A.\[I = 4\]

B.\[I = 3\]

C.\[I = 1\]

D.\[I = 0\]

A.\[90^\circ .\]

B.\[45^\circ .\]

C.\[30^\circ .\]

D.\[60^\circ .\]

A.5.

B.9.

C.7.

D.8.

A.1.

B.5.

C.11

D.7.

A.5

B.\[4\sqrt 2 .\]

C.\[2\sqrt 5 .\]

D.\[3\sqrt 5 .\]

A.

B.\[m >f\left( 1 \right) + 1\]

C.\[m \le f\left( 1 \right) - 1\]

D.\[m < f\left( 1 \right) - 1\]

A.\[d:\frac{{x + 1}}{2} = \frac{{y - 2}}{3} = \frac{{z + 3}}{4}.\]

B.\[d:\frac{{x - 1}}{2} = \frac{{y + 2}}{3} = \frac{{z - 3}}{4}.\]

C.\[d:\frac{{x + 1}}{4} = \frac{{y - 2}}{3} = \frac{{z + 3}}{2}.\]

A.\[\frac{{a\sqrt {15} }}{{10}}.\]

B.\[\frac{{a\sqrt 6 }}{4}.\]

C.\[\frac{{a\sqrt 3 }}{3}.\]

D.\[\frac{{a\sqrt 3 }}{4}.\]

A.

B.\[\frac{{3\pi - 2}}{6}.\]

C.\[\frac{{3\pi + 10}}{6}.\]

D.\[\frac{{3\pi + 10}}{3}.\]

A.\[\frac{1}{{4500}}\]

B.\[\frac{1}{{3500}}\]

C.\[\frac{1}{{2500}}\]

D.\[\frac{1}{{3000}}\]

A.\[a + b < 1.\]

B.\[a + b >2.\]

C.\[1 < a + b < \frac{3}{2}.\]

D.\[\frac{3}{2} < a + b < 2.\]

A.\[20\pi .\]

B.\[16\pi .\]

C.\[22\pi .\]

D.\[18\pi .\]

A.11.

B.12.

C.13.

D.14.

A.

B.\[ - \frac{1}{2}.\]

C.\[\frac{{97}}{{24}}.\]

D.\[ - \frac{{97}}{{24}}.\]

A.\[\frac{{{V_1}}}{{{V_2}}} = 2\]

B.\[\frac{{{V_1}}}{{{V_2}}} = \frac{1}{2}\]

C.\[\frac{{{V_1}}}{{{V_2}}} = 1\]

D.\[\frac{{{V_1}}}{{{V_2}}} = \frac{2}{3}\]

A.33.

B.10.

C.21.

D.19.

A.1.

B.2.

C.3.

D.4.

A.2.

B.4.

C.0.

D.3.

A.\[\frac{7}{2}.\]

B.\[4.\]

C.\[\frac{{11}}{2}\]

D.\[6.\]

A.\[x - y - 6 = 0.\]

B.\[x + 3y + 2z + 10 = 0.\]

C.\[x - 2y - 3z - 1 = 0.\]

D.\[3x + z + 2 = 0.\]

A.4.

B.14.

C.\[\sqrt {176} .\]

D.\[\sqrt {106} .\]

A.\[\vec n = \left( {1; - 6;12} \right).\]

B.\[\vec n = \left( {1;6;12} \right).\]

C.\[\vec n = \left( { - 1;6;12} \right).\]

D.\[\vec n = \left( {1;6; - 12} \right).\]

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

B.\[\left( {0;1} \right).\]

C.\[\left( {0; + \infty } \right).\]

D.\[\left( { - 1;1} \right).\]

A.0.

B.9.

C.−7.

D.2.

A.5.

B.1.

C.\[ - 5.\]

D.\[5i.\]

A.\[x = {a^2}{b^3}.\]

B.\[x = {a^2} + {b^3}.\]

C.\[x = 2a + 3b.\]

D.\[x = 3a + 2b.\]

A.\[\frac{{{e^5} - e}}{2}.\]

B.\[\frac{{{e^5} + e}}{2}.\]

C.\[{e^5} - e.\]

D.\[{e^5} + e.\]

A.\[P = \frac{1}{{25}}.\]

B.\[P = \frac{1}{5}.\]

C.\[P = - \frac{1}{{25}}.\]

D.\[P = - \frac{1}{5}.\]

A.\[m = 6.\]

B.\[m = 5.\]

C.\[m = 4.\]

D.\[m = 3.\]

A.1.

B.2.

C.3.

D.4.

A.\[x = 4 + {\log _2}7.\]

B.\[x = 2 + {\log _2}7.\]

C.\[x = 4 - {\log _2}7.\]

D.\[x = 2 - {\log _2}7.\]

A.\[S = - 2.\]

B.\[S = 4.\]

C.\[S = - 1.\]

D.\[S = 5.\]

A.

B.\[S = \int\limits_{ - 1}^0 {f\left( x \right)dx} - \int\limits_0^2 {f\left( x \right)dx} .\]

C.\[S = - \int\limits_{ - 1}^2 {f\left( x \right)dx} .\]

D.\[S = - \int\limits_{ - 1}^0 {f\left( x \right)dx} + \int\limits_0^2 {f\left( x \right)dx} .\]

A.\[{S_{xq}} = 12\pi .\]

B.\[{S_{xq}} = 3\pi \sqrt 7 .\]

C.\[{S_{xq}} = 15\pi .\]

D.\[{S_{xq}} = 20\pi .\]

A.\[1 + i.\]

B.\[1 - i.\]

C.\[2 + 2i.\]

D.\[2 - 2i.\]

A.+∞.

B.0.

C.\[\frac{1}{{2019}}.\]

D.\[\frac{1}{{2020}}.\]

A.\[y' = \frac{{2x\ln 2}}{{\left( {{x^2} + 1} \right)\ln 3}}.\]

B.\[y' = \frac{{x\ln 2}}{{\left( {{x^2} + 1} \right)\ln 3}}.\]

C.\[y' = \frac{{2x}}{{\left( {{x^2} + 1} \right)\left( {\ln 2 - \ln 3} \right)}}.\]

D.\[y' = \frac{x}{{\left( {{x^2} + 1} \right)\left( {\ln 2 - \ln 3} \right)}}.\]

A.\[2{x^2} - \frac{1}{x} + C.\]

B.\[2{x^2} + \frac{1}{x} + C.\]

C.\[{x^2} - \frac{1}{x} + C.\]

D.\[{x^2} + \frac{1}{x} + C.\]

A.6.

B.\[ - \frac{7}{3}.\]

C.\[ - 3.\]

D.\[ - 2.\]

A.\[\frac{{{a^3}}}{8}.\]

B.\[\frac{{{a^3}}}{6}.\]

C.\[\frac{{{a^3}\sqrt 3 }}{8}.\]

D.\[\frac{{{a^3}\sqrt 3 }}{6}.\]

A.\[6x + 3y + 2z - 18 = 0.\]

B.\[6x + 3y + 2z - 6 = 0.\]

C.\[6x - 3y + 2z = 0.\]

D.\[6x - 3y + 2z - 6 = 0.\]

A.\[V = 54\pi {\mkern 1mu} {\rm{c}}{{\rm{m}}^3}.\]

B.\[V = 63\pi {\mkern 1mu} {\rm{c}}{{\rm{m}}^3}.\]

C.\[V = 72\pi {\mkern 1mu} {\rm{c}}{{\rm{m}}^3}.\]

D.\[V = 69\pi {\mkern 1mu} {\rm{c}}{{\rm{m}}^3}.\]

A.5.

B.2.

C.3.

D.4.

A.4.

B.1.

C.2.

A.\[\frac{{59}}{6}\].

B.10.

C.\[\frac{{19}}{2}\].

D.\[\frac{{28}}{3}\].

A.\[\frac{{16{a^3}}}{3}.\]

B.\[\frac{{8{a^3}\sqrt 2 }}{3}.\]

C.\[8{a^3}\sqrt 2 .\]

D.\[6{a^3}\sqrt 3 .\]

A.3780.

B.7560.

C.139.

D.150.

A.\[S = 7.\]

B.\[S = 9.\]

C.\[S = 10.\]

D.\[S = 6.\]

A.\[ - 3 \le m \le 0.\]

B.\[0 < m \le 2.\]

C.\[m \ge 4.\]

D.\[2 < m < 4.\]

A.\[210\pi c{m^3}.\]

B.\[200\pi c{m^3}.\]

C.\[280\pi c{m^3}.\]

D.\[270\pi c{m^3}.\]

A.{4}.

B.{8}.

C.{5;6}.

D.{6;9}.

A.\[\frac{1}{2}.\]

B.\[\frac{1}{3}.\]

C.\[\frac{1}{{\sqrt 5 }}.\]

D.\[\frac{2}{{\sqrt 5 }}.\]

A.\[n \le 4.\]

B.\[n >11.\]

C.\[4 < n \le 8.\]

D.\[8 < n \le 11.\]

A.\[\frac{{a\sqrt {10} }}{4}\]

B.\[\frac{{a\sqrt {10} }}{5}\]

C.\[\frac{a}{4}\]

D.\[\frac{a}{5}\]

A.\[\Delta :\frac{x}{3} = \frac{{y - 2}}{3} = \frac{z}{2}.\]

B.\[\Delta :\frac{{x - 2}}{1} = \frac{{y - 3}}{2} = \frac{{z + 1}}{3}.\]

C.\[\Delta :\frac{{x + 6}}{9} = \frac{{y + 1}}{6} = \frac{{z - 3}}{{ - 1}}.\]

D.\[\Delta :\frac{{x - 4}}{{ - 1}} = \frac{{y - 4}}{1} = \frac{{z + 2}}{4}.\]

A.5.

B.6.

C.4.

D.3.

A.\[\frac{{11}}{3}.\]

B.\[\frac{{13}}{3}.\]

C.\[ - 1.\]

D.1.

A.10.

B.5.

C.11.

D.6.

A. \[m \ge f\left( 0 \right) + 1.\]

B.\[m \ge f\left( 2 \right) + {e^2} + 8.\]

C.\[m >f\left( 0 \right) + 1.\]

D.\[m >f\left( 2 \right) + {e^2} + 8.\]

A.3.

B.0.

C.2019.

D.1.

A.\[\frac{{99}}{{667}}\]

B.\[\frac{{99}}{{167}}\]

C.\[\frac{3}{{11}}\]

D.\[\frac{8}{{11}}\]

A.1.

B.2.

C.3.

D.4.

A.\[2 + 3\sqrt 2 .\]

B.\[3 + 2\sqrt 3 .\]

C.\[1 + \sqrt 5 .\]

D.\[5 + 3\sqrt 2 .\]

A.

B.\[k = - 8.\]

C.\[k = - 6.\]

D.\[k = - 2.\]

A.127.

B.124.

C.5.

D.2.

A.\[r = \sqrt 3 .\]

B.\[r = 6.\]

C.\[r = 3.\]

D.\[r = \sqrt 6 .\]

A.\[\frac{3}{5}\].

B.\[\frac{4}{9}\].

C.\[\frac{3}{4}\].

D.\[\frac{4}{5}\].

A.\[20\ln 3.\]

B.\[10\ln 3.\]

C.\[20\ln \frac{9}{2}.\]

D.\[10\ln \frac{9}{2}.\]

A.\[\frac{{x + 3}}{1} = \frac{y}{{ - 1}} = \frac{{z - 1}}{2}\]

B.\[\frac{{x + 3}}{3} = \frac{y}{{ - 2}} = \frac{{z - 1}}{2}\]

C.\[\frac{{x - 1}}{1} = \frac{y}{{ - 2}} = \frac{{z - 1}}{2}\]

D.\[\frac{{x + 3}}{2} = \frac{y}{{ - 6}} = \frac{{z - 1}}{{ - 7}}\]

A.\[\sqrt {13} - 3.\]

B.\[\sqrt {17} - 3.\]

C.\[\sqrt {17} + 3.\]

D.\[\sqrt {13} + 3.\]

A.

B.

C.

D.

A.

B.

C.

D.

A.

B.

C.

D.

A.

B.

C.

D.

A.

B.

C.

D.

A.

B.

C.

D.

A.\[\vec u = \left( {2;3;1} \right).\]

B.\[\vec u = \left( {2;1; - 2} \right).\]

C.\[\vec u = \left( {2; - 3;1} \right).\]

D.\[\vec u = \left( {2;1;2} \right).\]

A.2.

B.−1.

C.−2.

D.1.

A.\[\vec n = \left( {1; - 6;0} \right).\]

B.\[\vec n = \left( {1; - 6;12} \right).\]

C.\[\vec n = \left( {1;0; - 6} \right).\]

D.\[\vec n = \left( {1;6;0} \right).\]

A.\[y = {x^3} - 3{x^2} + 3x + 1.\]

B.\[y = - {x^3} + 3{x^2} + 1.\]

C.\[y = {x^3} - 3x + 4.\]

D.\[y = - {x^3} - 3{x^2} - 1.\]

A.\[ - \frac{3}{2}.\]

B.\[\frac{3}{2}.\]

C.\[ - \frac{1}{2}.\]

D.\[\frac{1}{2}.\]

A.0.

B.1.

C.\[ + \infty .\]

D.\[ - \infty .\]

A.1.

B.2.

C.3.

D.4.

A.

B.

C.

D.

A.\[\frac{{2 + \sqrt 2 }}{6}.\]

B.\[\frac{{2 - \sqrt 2 }}{6}.\]

C.\[\frac{{2 + \sqrt 2 }}{2}.\]

D.\[\frac{{2 - \sqrt 2 }}{2}.\]

A.\[{S_{xq}} = 20\pi .\]

B.\[{S_{xq}} = 3\pi \sqrt 7 .\]

C.\[{S_{xq}} = 15\pi .\]

D.\[{S_{xq}} = 12\pi .\]

A.\[P = 2020.\]

B.\[P = 2020!.\]

C.\[P = \frac{1}{{2020}}.\]

D.\[P = 1.\]

A.\[S = \int\limits_{ - 1}^2 {f\left( x \right)dx} .\]

B.\[S = \int\limits_{ - 1}^0 {f\left( x \right)dx} - \int\limits_0^2 {f\left( x \right)dx} .\]

C.\[S = - \int\limits_{ - 1}^2 {f\left( x \right)dx} .\]

D.\[S = - \int\limits_{ - 1}^0 {f\left( x \right)dx} + \int\limits_0^2 {f\left( x \right)dx} .\]

A.\[y' = \frac{1}{{2x + 1 + \sqrt {2x + 1} }}.\]

B.\[y' = \frac{2}{{2x + 1 + \sqrt {2x + 1} }}.\]

C.\[y' = \frac{{\sqrt {2x + 1} }}{{2x + 1 + \sqrt {2x + 1} }}.\]

D.\[y' = \frac{{2\sqrt {2x + 1} }}{{2x + 1 + \sqrt {2x + 1} }}.\]

A. $-\cos \left(x+2\right)+C.$

B. $\cos \left(x+2\right)+C.$

C. $-\sin \left(x+2\right)+C.$

D. $\sin \left(x+2\right)+C.$

A.16.

B.4.

C.\[ - 16.\]

D.\[ - 4.\]

A.\[3\sqrt[3]{9}.\]

B.7.

C.\[2\sqrt[3]{9}.\]

D.1.

A.\[x = {\log _{\frac{2}{5}}}\frac{9}{{20}}.\]

B.\[x = {\log _{\frac{2}{5}}}\frac{{20}}{9}.\]

C.\[x = {\log _{\frac{5}{2}}}\frac{9}{{20}}.\]

D.\[x = {\log _{\frac{5}{2}}}\frac{{20}}{9}.\]

A.\[P = \frac{7}{{18}}.\]

B.\[P = \frac{{20}}{{29}}.\]

C.\[P = \frac{9}{{29}}.\]

D.\[P = \frac{{21}}{{29}}.\]

A.\[K\left( {1;1;1} \right).\]

B.\[K\left( {5; - 3;7} \right).\]

C.\[K\left( {6; - 2;8} \right).\]

D.\[K\left( {3; - 1;4} \right).\]

A.Đường tròn có tâm \[I\left( { - 1;4} \right)\] và bán kính \[R = 2.\]

B.Đường tròn có tâm \[I\left( { - 1;4} \right)\] và bán kính \[R = 4.\]

C.Đường tròn có tâm \[I\left( {1; - 4} \right)\] và bán kính \[R = 2.\]

D.Đường tròn có tâm \[I\left( {1; - 4} \right)\] và bán kính \[R = 4.\]

A.52.

B.54.

C.64.

D.68.

A.\[\frac{{{a^3}\sqrt 3 }}{{12}}.\]

B.\[\frac{{{a^3}\sqrt 3 }}{{24}}.\]

C.\[\frac{{{a^3}}}{{12}}.\]

D.\[\frac{{{a^3}}}{{24}}.\]

A.\[x = 2.\]

B.\[x = 4.\]

C.\[x = 6.\]

D.\[x = 8.\]

A.\[ - {e^{ - 1}}\]

B.\[20{e^2}\]

C.\[9e\]

D.\[3e\]

A.\[V = \frac{{128\pi }}{3}.\]

B.\[V = 128\pi .\]

C.\[V = \frac{{256\pi }}{3}.\]

D.\[V = 96\pi .\]

A.\[\frac{{28}}{3}.\]

B.28.

C.\[\frac{{14}}{3}.\]

D.14.

A.\[P = 1.\]

B.\[P = - 1.\]

C.\[P = 13.\]

D.\[P = 19.\]

A.\[a + b = \frac{{11}}{2}.\]

B.\[a + b = \frac{{19}}{3}.\]

C.\[a + b = 1.\]

D.\[a + b = 5.\]

A.\[\left\{ {\begin{array}{*{20}{l}}{x = 1 - 3t}\\{y = 0}\\{z = 1 + t}\end{array}} \right..\]

B.\[\left\{ {\begin{array}{*{20}{l}}{x = 1 - 3t}\\{y = 0}\\{z = 1 - t}\end{array}} \right..\]

C.\[\left\{ {\begin{array}{*{20}{l}}{x = 1 - 3t}\\{y = t}\\{z = 1 + t}\end{array}} \right..\]

D.\[\left\{ {\begin{array}{*{20}{l}}{x = 1 + 3t}\\{y = 0}\\{z = 1 + t}\end{array}} \right..\]

A.\[V = 6c{m^3}.\]

B.\[V = 4c{m^3}.\]

C.\[V = 3c{m^3}.\]

D.\[V = 7c{m^3}.\]

A.7.

B.5.

C.6.

D.8.

A.\[90^\circ.\]

B.\[45^\circ.\]

C.\[30^\circ.\]

D.\[60^\circ.\]

A.330.

B.315.

C.420.

D.405.

A.\[I = 2.\]

B.\[I = 6.\]

C.\[I = 10.\]

D.\[I = 4.\]

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.\[\frac{{a\sqrt 2 }}{3}.\]

B.\[\frac{{a\sqrt 3 }}{2}.\]

C.\[\frac{{3a}}{2}.\]

D.\[\frac{{2a}}{3}.\]

A.\[\left( { - \frac{1}{2};\frac{7}{4};\frac{1}{4}} \right)\]

B.\[\left( {\frac{1}{3};\frac{7}{4};\frac{1}{4}} \right)\]

C.\[\left( { - \frac{1}{3};\frac{7}{4}; - \frac{1}{4}} \right)\]

D.\[\left( { - \frac{1}{2};\frac{7}{4}; - \frac{1}{4}} \right)\]

A.\[m \ge f\left( 0 \right).\]

B.\[m \ge f\left( 1 \right) - 1.\]

C.\[m >f\left( 0 \right).\]

D.\[m >f\left( 1 \right) - 1.\]

A.\[8 \le m \le 11.\]

B.\[3

C.\[m \le 3.\]

D.\[m \ge 12.\]

A.3.

B.1.

C.2.

D.4.

A.\[\frac{9}{{22}}\]

B.\[\frac{{13}}{{1024}}\]

C.\[\frac{2}{{19}}\]

D.\[\frac{{53}}{{512}}\]

A.\[\frac{{10}}{3}.\]

B.\[\frac{{15}}{7}.\]

C.\[\frac{{16}}{9}.\]

D.\[\frac{{18}}{7}.\]

A.4.

B.6.

C.7.

D.9.

A.12.

B.15.

C.18.

D.9.

A.\[\frac{{37}}{{12}}.\]

B.\[\frac{7}{{12}}.\]

C.\[\frac{{11}}{{12}}.\]

D.\[\frac{5}{{12}}.\]

A.6.

B.12.

C.5.

D.10.

A.26.

B.66.

C.42.

D.102.

A.\[3 + \sqrt {34} .\]

B.\[3 + \sqrt {10} .\]

C.\[6.\]

D.\[3.\]

A.\[\vec u = \left( {2;2; - 1} \right)\]

B.\[\vec u = \left( {1;7; - 1} \right)\]

C.\[\vec u = \left( {1;0;2} \right)\]

D.\[\vec u = \left( {3;4; - 4} \right)\]