Đề thi HK2 môn Toán lớp 11 Trường THPT chuyên ĐHSP...

A \(\cos x\)

B \( - \cos x\)

C \(\sin x\)

D \( - \sin x\)

A \( - 1\)

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

C \( - 2\)

D \(0\)

A \(d\left( {\left( {ABC} \right);\left( {A'B'C'} \right)} \right) = BB'\)

B Các mặt bên của hình lăng trụ \(ABC.A'B'C'\) là các hình chữ nhật.

C \(d\left( {B;\left( {ACC'A'} \right)} \right) = d\left( {B';\left( {ACC'A'} \right)} \right)\)

D \(d\left( {A;\left( {BCC'B'} \right)} \right) = AB\)

A \(\overrightarrow {AC'}  = \overrightarrow {AB}  + \overrightarrow {AC}  + \overrightarrow {AA'} \)

B \(\overrightarrow {AC'}  = \overrightarrow {AB}  + \overrightarrow {CB}  + \overrightarrow {AA'} \)

C \(\overrightarrow {AC'}  = \overrightarrow {AB}  + \overrightarrow {AD}  + \overrightarrow {AA'} \)

D \(\overrightarrow {AC'}  = \overrightarrow {BD}  + \overrightarrow {AC}  + \overrightarrow {AA'} \)

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

B \(M\left( {0;\dfrac{1}{3}} \right)\)

C \(M\left( { - 1; - 4} \right)\)

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

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

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

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

D \(\left( { - \infty ; - 1} \right] \cup \left[ {1; + \infty } \right)\)

A \( - 4\)

B \(4\)

C \(3\)

D \(1\)

A \(5\)

B \(3\)

C \(\dfrac{7}{2}\)

D \(4\)

A \(BC \bot SH\)

B \(BC \bot SC\)

C \(AC \bot SH\)

D \(AH \bot SC\)

A 4

B 1

C 2

D 3

A \( + \infty \)

B \( - \infty \)

C \(1\)

D \( - 4\)

A \(f'\left( x \right) = 2018{\left( {\dfrac{{2x + 1}}{{x + 1}}} \right)^{2017}}\left( {\dfrac{{ - 1}}{{x + 1}}} \right)\)

B \(f'\left( x \right) = 2018\dfrac{{{{\left( {2x + 1} \right)}^{2017}}}}{{{{\left( {x + 1} \right)}^{2019}}}}\)

C \(f'\left( x \right) = 2018{\left( {\dfrac{{2x + 1}}{{x + 1}}} \right)^{2017}}\)

D \(f'\left( x \right) = {\left( {\dfrac{{2x + 1}}{{x + 1}}} \right)^{2017}}{\left( {\dfrac{1}{{x + 1}}} \right)^2}\)

A \(1\)

B \(2\)

C \( - 1\)

D \( - 2\)

A \(y = x + 2\)

B \(y = \dfrac{{ - 1}}{2}x + 2\)

C \(y = \dfrac{1}{2}x + 2\)

D \(y =  - x + 2\)

A \({60^0}\)

B \({90^0}\)

C \({45^0}\)

D \({30^0}\)

A \(\lim \left( {{n^3} - 3n + 1} \right)\)

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

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

D \(\lim \dfrac{{{n^2} + n + 1}}{{4n + 1}}\)

A \(\sqrt 2 \)

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

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

D \(\sqrt 3 \)

A \(\dfrac{4}{5}\)

B \(\dfrac{8}{5}\)

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

D \(\dfrac{8}{3}\)

A \(1\)

B \(-1\)

C \( + \infty \)

D \(- \infty \)

A \(\left[ \begin{array}{l}
y =- 2\\
y = \frac{{ - 9}}{4}x +2
\end{array} \right.\)

B \(\left[ \begin{array}{l}
y = 2\\
y = \frac{{ 9}}{4}x -2
\end{array} \right.\)

C \(\left[ \begin{array}{l}
y = 2\\
y = \frac{{ - 9}}{4}x + 2\end{array} \right.\)

D \(\left[ \begin{array}{l}
y = -2\\
y = \frac{{ 9}}{4}x - 2
\end{array} \right.\)

A \(\begin{array}{l}
b)\,\,{45^0}\\
c)\,\,\dfrac{a\sqrt 3}{2} 
\end{array}\)

B \(\begin{array}{l}
b)\,\,{45^0}\\
c)\,\,a\sqrt 3 
\end{array}\)

C \(\begin{array}{l}
b)\,\,{60^0}\\
c)\,\,a\sqrt 2 
\end{array}\)

D \(\begin{array}{l}
b)\,\,{45^0}\\
c)\,\,a\sqrt 2
\end{array}\)