220 câu trắc nghiệm tổng hợp Toán cao cấp A2 có đáp án - Phần 4

A. \[{{\rm{x}}_1} = - 1 - 8{{\rm{x}}_4},{{\rm{x}}_3} = 0,{{\rm{x}}_2} = 1 + 2{{\rm{x}}_4}\]

B. \[{{\rm{x}}_1} = - 1 - 8{{\rm{x}}_4},{{\rm{x}}_3} = 1,{{\rm{x}}_2} = 1 + 2{{\rm{x}}_4}\]

C. \[{{\rm{x}}_1} = - 1 - 8{{\rm{x}}_1},{{\rm{x}}_3} = 1,{{\rm{x}}_2} = 1 + 2{{\rm{x}}_1}\]

D. \[{{\rm{x}}_1} = - 1 - 8{{\rm{x}}_1} + 2{{\rm{x}}_2},{{\rm{x}}_4} = 1 + 2{{\rm{x}}_1} - 5{{\rm{x}}_2}\]

A. \[{{\rm{x}}_1} = 1,{{\rm{x}}_2} = 3 - 2{{\rm{x}}_4},{{\rm{x}}_3} = 4 - 2{{\rm{x}}_4}\]

B. \[{{\rm{x}}_1} = 0,{{\rm{x}}_2} = 4 - 2{{\rm{x}}_4},{{\rm{x}}_3} = 3 - 2{{\rm{x}}_4}\]

C. \[{{\rm{x}}_1} = 1,{{\rm{x}}_2} = 3 - 2{{\rm{x}}_3},{{\rm{x}}_3} = 4 + 2{{\rm{x}}_3}\]

D. \[{{\rm{x}}_1} = 3 + 5{{\rm{x}}_4},{{\rm{x}}_2} = 4,{{\rm{x}}_3} = 3 - {{\rm{x}}_4}\]

A. \[{{\rm{x}}_1} = 2,{{\rm{x}}_2} = 3,{{\rm{x}}_3} = - 1,{{\rm{x}}_4} = - 2\]là một nghiệm của hệ

B. \[{{\rm{x}}_1} = \frac{1}{7},{{\rm{x}}_2} = \frac{{15}}{7},{{\rm{x}}_3} = 0,{{\rm{x}}_4} = \frac{{ - 6}}{7}\]là một nghiệm của hệ

C. \[{{\rm{x}}_1} = - 11,{{\rm{x}}_2} = - 3,{{\rm{x}}_3} = 6,{{\rm{x}}_4} = 6\]là một nghiệm của hệ

D. Các trường hợp trên đều là nghiệm của hệ

A. \[{{\rm{x}}_1} = 2 + {{\rm{x}}_3} + 7{{\rm{x}}_4},{\rm{x}}2 = - 1 + 5{{\rm{x}}_3} - {{\rm{x}}_4}\]

B. \[{{\rm{x}}_1} = 6 - 26{{\rm{x}}_3} + 17{{\rm{x}}_4},{\rm{x}}2 = - 1 + 7{{\rm{x}}_3} - 5{{\rm{x}}_4}\]

C. \[{{\rm{x}}_1} = 2 + 6{{\rm{x}}_3} - 7{{\rm{x}}_4},{\rm{x}}2 = - 1 + 4{{\rm{x}}_3} - 2{{\rm{x}}_4}\]

D. \[{{\rm{x}}_1} = 4 + 11{{\rm{x}}_4},{\rm{x}}2 = - 1 - 6{{\rm{x}}_4},{{\rm{x}}_3} = 2\]

A. \[{{\rm{x}}_1} = 2 + 2{{\rm{x}}_4},{{\rm{x}}_2} = 3 - 2{{\rm{x}}_4},{{\rm{x}}_3} = 4 - 2{{\rm{x}}_4}\]

B. \[{{\rm{x}}_1} = 0,{{\rm{x}}_2} = 1 + 7{{\rm{x}}_4},{{\rm{x}}_3} = - 2 - 5{{\rm{x}}_4}\]

C. \[{{\rm{x}}_1} = - 4,{{\rm{x}}_2} = - 6 + 3{{\rm{x}}_3},{{\rm{x}}_4} = 7 - 9{{\rm{x}}_3}\]

D. Hệ vô nghiệm

A. \[{\rm{\eta ((}}{{\rm{x}}_{\rm{1}}}{\rm{, }}{{\rm{y}}_{\rm{1}}}{\rm{), (}}{{\rm{x}}_{\rm{2}}}{\rm{, }}{{\rm{y}}_{\rm{2}}}{\rm{)) = 2}}{{\rm{x}}_{\rm{1}}}{{\rm{x}}_{\rm{2}}}{\rm{ + 13}}{{\rm{x}}_{\rm{1}}}{{\rm{y}}_{\rm{2}}} - {\rm{5}}{{\rm{y}}_{\rm{1}}}{{\rm{y}}_{\rm{2}}}\]

B. \[{\rm{\eta ((}}{{\rm{x}}_{\rm{1}}}{\rm{, }}{{\rm{y}}_{\rm{1}}}{\rm{), (}}{{\rm{x}}_{\rm{2}}}{\rm{, }}{{\rm{y}}_{\rm{2}}}{\rm{)) = 3}}{{\rm{x}}_{\rm{1}}}{{\rm{x}}_{\rm{2}}}{\rm{ + }}{{\rm{x}}_{\rm{1}}}{{\rm{y}}_{\rm{2}}}{\rm{ + 2}}{{\rm{x}}_{\rm{2}}}{{\rm{y}}_{\rm{1}}}{\rm{ + 3}}{{\rm{y}}_{\rm{1}}}{{\rm{y}}_{\rm{2}}}\]

C. \[{\rm{\eta ((}}{{\rm{x}}_{\rm{1}}}{\rm{, }}{{\rm{y}}_{\rm{1}}}{\rm{), (}}{{\rm{x}}_{\rm{2}}}{\rm{, }}{{\rm{y}}_{\rm{2}}}{\rm{)) = 2}}{{\rm{x}}_{\rm{1}}}{{\rm{x}}_{\rm{2}}} - {\rm{4}}{{\rm{x}}_{\rm{1}}}{{\rm{y}}_{\rm{2}}}{\rm{ + 4}}{{\rm{x}}_{\rm{2}}}{{\rm{y}}_{\rm{1}}} - {\rm{2}}{{\rm{y}}_{\rm{1}}}{{\rm{y}}_{\rm{2}}}\]

D. \[{\rm{\eta ((}}{{\rm{x}}_{\rm{1}}}{\rm{, }}{{\rm{y}}_{\rm{1}}}{\rm{), (}}{{\rm{x}}_{\rm{2}}}{\rm{, }}{{\rm{y}}_{\rm{2}}}{\rm{)) = }}{{\rm{x}}_{\rm{1}}}{{\rm{y}}_{\rm{2}}}{\rm{ + }}{{\rm{x}}_{\rm{2}}}{{\rm{y}}_{\rm{1}}} - {\rm{3}}{{\rm{y}}_{\rm{1}}}{{\rm{y}}_{\rm{2}}}\]

A. \[{\rm{\eta ((}}{{\rm{x}}_{\rm{1}}}{\rm{, }}{{\rm{y}}_{\rm{1}}}{\rm{), (}}{{\rm{x}}_{\rm{2}}}{\rm{, }}{{\rm{y}}_{\rm{2}}}{\rm{)) = 2}}{{\rm{x}}_{\rm{1}}}{{\rm{x}}_{\rm{2}}}{\rm{ + 8}}{{\rm{x}}_{\rm{1}}}{{\rm{y}}_{\rm{2}}} - {{\rm{y}}_{\rm{1}}}{{\rm{y}}_{\rm{2}}}\]

B. \[{\rm{\eta ((}}{{\rm{x}}_{\rm{1}}}{\rm{, }}{{\rm{y}}_{\rm{1}}}{\rm{), (}}{{\rm{x}}_{\rm{2}}}{\rm{, }}{{\rm{y}}_{\rm{2}}}{\rm{)) = 3}}{{\rm{x}}_{\rm{1}}}{{\rm{x}}_{\rm{2}}}{\rm{ + 8}}{{\rm{x}}_{\rm{1}}}{{\rm{y}}_{\rm{2}}}{\rm{ + 2}}{{\rm{x}}_{\rm{1}}}{{\rm{y}}_{\rm{2}}}{\rm{ + }}{{\rm{y}}_{\rm{1}}}{{\rm{y}}_{\rm{2}}}\]

C. \[{\rm{\eta ((}}{{\rm{x}}_{\rm{1}}}{\rm{, }}{{\rm{y}}_{\rm{1}}}{\rm{), (}}{{\rm{x}}_{\rm{2}}}{\rm{, }}{{\rm{y}}_{\rm{2}}}{\rm{)) = 2}}{{\rm{x}}_{\rm{1}}}{{\rm{x}}_{\rm{2}}}{\rm{ + }}{{\rm{x}}_{\rm{1}}}{{\rm{y}}_{\rm{2}}} - {\rm{3}}{{\rm{x}}_{\rm{2}}}{{\rm{y}}_{\rm{1}}}{\rm{ + }}{{\rm{y}}_{\rm{1}}}{{\rm{y}}_{\rm{2}}}\]

A. \[ - \frac{1}{6}\cos 3{\rm{x}} + \frac{1}{2}\cos {\rm{x}} + {\rm{C}}\]

B. \[\frac{2}{3}{\cos ^{\rm{3}}}{\rm{x + cosx + C}}\]

C. \[ - \frac{2}{3}{\sin ^3}{\rm{x + sinx + C}}\]

D. Đáp án A và C đều đúng

A. \[\frac{1}{{4028}}{(1 + 2{\rm{x)}}^{{\rm{2013}}}}{\rm{ + C}}\]

B. \[\frac{1}{2}{(1 + 2{\rm{x)}}^{{\rm{2013}}}}{\rm{ + C}}\]

C. \[\frac{1}{{4024}}{(1 + 2{\rm{x)}}^{{\rm{2013}}}}{\rm{ + C}}\]

D. \[\frac{1}{{2013}}{(1 + 2{\rm{x)}}^{{\rm{2013}}}}{\rm{ + C}}\]

A. \[\frac{1}{2}\cos \left( {\frac{{\rm{\pi }}}{{\rm{3}}} - \frac{{\rm{x}}}{{\rm{2}}}} \right){\rm{ + C}}\]

B. \[4\cos \left( {\frac{{\rm{\pi }}}{{\rm{3}}} - \frac{{\rm{x}}}{{\rm{4}}}} \right){\rm{ + C}}\]

C. \[2\sin \left( {\frac{{\rm{\pi }}}{{\rm{3}}} - \frac{{\rm{x}}}{{\rm{2}}}} \right){\rm{ + C}}\]

D. \[\frac{1}{2}\sin \left( {\frac{{\rm{\pi }}}{{\rm{3}}} - \frac{{\rm{x}}}{{\rm{2}}}} \right){\rm{ + C}}\]

A. \[ - \frac{1}{3}\ln |\cos {\rm{3x| + C}}\]

B. \[\frac{1}{3}\ln |\cos 5{\rm{x| + C}}\]

C. \[ - \frac{1}{3}\ln |\sin 3{\rm{x| + C}}\]

D. \[\frac{1}{5}\ln |\sin 5{\rm{x| + C}}\]

A. \[\ln |{\rm{x}} - 2| - \ln |{\rm{x}} - 4| + {\rm{C}}\]

B. \[\ln |{\rm{x}} - 5| - \ln |{\rm{x}} - 2| + {\rm{C}}\]

C. \[\frac{{\ln |{\rm{x}} - 5|}}{{\ln |{\rm{x}} - 2|}} + {\rm{C}}\]

D. \[\ln |({\rm{x}} - 4)(2 - 2)| + {\rm{C}}\]

A. \[\frac{{{{\ln }^3}{\rm{x}} - 2\ln {\rm{x}} + 1}}{{{{\rm{x}}^2}}} + {\rm{C}}\]

B. \[{(\ln {\rm{x}} - 1)^7} + {\rm{C}}\]

C. \[{\ln ^3}{\rm{x}} - 2\ln {\rm{x}} + 1 + {\rm{C}}]\]

A. \[\frac{3}{5}\sqrt[{\rm{3}}]{{{\rm{5x + 3}}}}{\rm{ + C}}\]

B. \[ - \frac{3}{2}\sqrt[{\rm{3}}]{{{\rm{2x + 3}}}}{\rm{ + C}}\]

C. \[\sqrt[{\rm{3}}]{{{\rm{2x + 3}}}}{\rm{ + C}}\]

D. \[\frac{1}{2}\sqrt[{\rm{3}}]{{{\rm{5x + 3}}}}{\rm{ + C}}\]

A. \[\frac{1}{3}\cot ( - 3{\rm{x}} + 1) + {\rm{C}}\]

B. \[\frac{1}{2}\tan ( - 2{\rm{x}} + 1) + {\rm{C}}\]

C. \[ - \frac{1}{3}\cot ( - 3{\rm{x}} + 1) + {\rm{C}}\]

D. \[ - \frac{1}{2}\tan ( - 2{\rm{x}} + 1) + {\rm{C}}\]

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

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

C. \[ - \frac{{{{({{\rm{e}}^{\rm{x}}} - 1)}^3}}}{3} + {\rm{C}}\]

D. \[\frac{{{{({{\rm{e}}^{\rm{x}}} - 1)}^3}}}{3} + {\rm{C}}\]

A. \[\frac{{\rm{\pi }}}{{\rm{8}}}\]

B. \( - \frac{{\rm{\pi }}}{{\rm{8}}}\)

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

D. 1

A. 2

B. \[{{\rm{e}}^2} - 1\]

C. \[2{{\rm{e}}^1} + 2\]

D. e

A. \[\frac{{{\rm{3\pi }}}}{{\rm{2}}}\]

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

C. 1

D. 0

A. 2ln2

B. 2ln3

C. -1

D. 1