Đề thi HK2 môn Toán lớp 11 THPT Trần Cao Vân TPHC...

A \(x - y = 0\)

B \(y = 2x\)

C \(2x - y = 0\)

D \(x + y = 0\)

A \(\lim \dfrac{{{n^2} - {n^3}}}{{2{n^3} + 1}}\)

B \(\lim \dfrac{{2{n^2} + n}}{{ - 2n - {n^2}}}\)

C \(\lim \dfrac{{3n + 1}}{{2 - 3n}}\)

D \(\lim \dfrac{{ - {n^3}}}{{{n^2} + 3}}\)

A vuông góc với đường thẳng \(a\) nằm trong \(mp\left( P \right)\).

B vuông góc với hai đường thẳng phân biệt nằm trong \(mp\left( P \right)\).

C vuông góc với đường thẳng \(a\) mà \(a\) song song với \(mp\left( P \right)\).

D vuông góc với mọi đường thẳng nằm trong \(mp\left( P \right)\).

A \(\dfrac{{1 - x}}{{2{{\left( {x + 1} \right)}^2}}}\)

B \(\dfrac{{1 - x}}{{2\sqrt x {{\left( {x + 1} \right)}^2}}}\)

C \(\dfrac{1}{{2\sqrt x {{\left( {x + 1} \right)}^2}}}\)

D \(\dfrac{{1 - x}}{{\sqrt x {{\left( {x + 1} \right)}^2}}}\)

A \({u_1} = 3;\,\,d = 2\)

B \({u_1} =  - 2;\,\,d = 3\)

C \({u_1} = 2;\,\,d = 3\)

D \({u_1} = 2;\,\,d =  - 3\)

A \( - \dfrac{1}{{{{\cos }^2}x}}\)

B \(\dfrac{{1 + {{\tan }^2}x}}{{2\sqrt {\tan x} }}\)

C \(\dfrac{1}{{2\sqrt {\tan x} }}\)

D \(\dfrac{1}{{{{\cos }^2}x}}\)

A \(\dfrac{{a\sqrt 2 }}{3}\)

B \(\dfrac{{a\sqrt 6 }}{6}\)

C \(\dfrac{{a\sqrt 3 }}{2}\)

D \(a\sqrt 6 \)

A \(a\sqrt 3 \)

B \(\dfrac{{a\sqrt 3 }}{2}\)

C \(\dfrac{{a\sqrt 3 }}{4}\)

D \(\dfrac{{a\sqrt 2 }}{3}\)

A \(a = 4b\)

B \(a + b = 0\)

C \(a = 2b\)

D \(a = b\)

A \(\left( {\dfrac{u}{v}} \right)' = \dfrac{{u'v - v'u}}{v}\)

B \(\left( {\dfrac{u}{v}} \right)' = \dfrac{{u'v - v'u}}{{{v^2}}}\)

C \(\left( {\dfrac{u}{v}} \right)' = \dfrac{{u'v + v'u}}{v}\)

D \(\left( {\dfrac{u}{v}} \right)' = \dfrac{{u'v + v'u}}{{{v^2}}}\)

A \(y = 3x + 2,\,\,y = 3x - 2\)

B \(y = 3x + 2;\,\,y =  - 3x - 2\)

C \(y =  - 3x + 2;\,\,y = 3x - 2\)

D \(y =  - 3x + 2;\,\,y =  - 3x - 2\)

A \(\mathop {\lim }\limits_{x \to {2^ - }} \dfrac{{ - 3x + 4}}{{x - 2}}\)

B \(\mathop {\lim }\limits_{x \to {2^ + }} \dfrac{{ - 3x + 4}}{{x - 2}}\)

C \(\mathop {\lim }\limits_{x \to  - \infty } \dfrac{{3{x^2} + 4}}{{x - 2}}\)

D \(\mathop {\lim }\limits_{x \to  + \infty } \dfrac{{3x + 4}}{{x - 2}}\)

A \(\left( {SAC} \right) \bot \left( {SCD} \right)\)

B \(\left( {SAB} \right) \bot \left( {ABC} \right)\)

C \(\left( {SAD} \right) \bot \left( {SCD} \right)\)

D \(\left( {SAB} \right) \bot \left( {SBC} \right)\)

A \(3\)

B \(1\)

C \(2\)

D \(0\)

A \({90^0}\)

B \({60^0}\)

C \({30^0}\)

D \({150^0}\)

A \({90^0}\)

B \({60^0}\)

C \({30^0}\)

D \({150^0}\)

A \({S_9} = 255\)

B \({S_9} = 2552\)

C \({S_9} = 25555\)

D \({S_9} = 2555\)

A \(y{'_x} = \dfrac{{y{'_u}}}{{u{'_x}}}\)

B \(y{'_x} = y{'_u} - u{'_x}\)

C \(y{'_x} = y{'_u}.u{'_x}\)  

D \(y{'_x} = y{'_u} + u{'_x}\)

A \(y' = {x^2} + 4x + 4\)

B \(y' = 3{x^2} + 4x + 4 + 5\)

C \(y' = 3{x^2} + 2x + 4\)

D \(y' = \dfrac{1}{3}{x^2} + 2x + 4\)

A \(\lim \dfrac{{{n^3} + 2n - 1}}{{n - 2{n^3}}}\)

B \(\lim \dfrac{{{n^3} - n + 1}}{{2n - 1}}\)

C \(\lim \dfrac{{ - 2}}{{{n^2} + n}}\)

D \(\lim \dfrac{{2{n^2} - 3n}}{{3n}}\)

A \(a\)

B \(\dfrac{{a\sqrt 3 }}{2}\)

C \(a\sqrt 3 \)

D \(\dfrac{{a\sqrt 2 }}{3}\)

A 1

B 0

C 3

D 2

A \({60^0}\)

B \({30^0}\)

C \({150^0}\)

D \({90^0}\)

A \(112,2m/s\)

B \(117,2m/s\)

C \(127,7m/s\)

D \(112,7m/s\)

A \(y - 2 = 0\)

B \(y - 2 = 0;\,\,3x + 4y - 10 = 0\)

C \(3x + 4y + 10 = 0\)

D \(y + 2 = 0\)

A \(\mathop {\lim }\limits_{x \to {1^ + }} f\left( x \right) =  - 1\)

B \(\mathop {\lim }\limits_{x \to {1^ - }} f\left( x \right) =  - 1\)

C không \(\exists \mathop {\lim }\limits_{x \to 1} f\left( x \right)\)

D \(\exists \mathop {\lim }\limits_{x \to 1} f\left( x \right) =  - 1\)

A \(2\)

B \( - 2\)

C \( - 1\)

D \( 1\)

A \(a = \dfrac{1}{4}\)

B \(a = \dfrac{3}{4}\)

C \(a =  - \dfrac{3}{4}\)

D \(a =  - \dfrac{1}{4}\)

A \(\dfrac{1}{3}\sin \left( {\dfrac{{x + 3}}{3}} \right)\)

B \(3\sin \left( {\dfrac{{x + 3}}{3}} \right)\)

C \( - 3\sin \left( {\dfrac{{x + 3}}{3}} \right)\)

D \( - \dfrac{1}{3}\sin \left( {\dfrac{{x + 3}}{3}} \right)\)