Đề thi HK2 môn Toán 10 Trường THPT Ngô Gia Tự - Đắk Lắk năm 2018

A. (2 - x)(x + 2)² < 0

B. 2x + 1 > 1 - x

C. (2x + 1)(1 - x) < x²

D. \(\frac{1}{{1 - x}} + 2 \le 0\)

A. -x + 3y + 6 = 0

B. 3x + y - 8 = 0

C. 3x - y + 6 = 0 

D. 3x - y + 10 = 0

A. \(\frac{1}{9}\)

B. \( - \frac{1}{5}\)

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

D. \(\frac{1}{5}\)

A. S = (-1; 1)

B. \(S = \left( { - \infty ; - 1} \right)\)

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

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

A. \(S = \left( { - \infty ;\frac{1}{2}} \right)\)

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

C. \(S = \left[ { \frac{1}{2}; + \infty } \right)\)

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

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

B. \(a = \sqrt 6 \)

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

D. \(a = 2\sqrt 3 \)

A. k = 3

B. Không tồn tại k

C. k = -5

D. k = 5

A. \(x < \frac{1}{2}\)

B. \(x \le \frac{1}{2}\)

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

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

A. x - y =0

B. 2x+y-3=0 

C. x+y-2=0 

D. x+y+1=0 

A. \(\frac{{25}}{{26}}\)

B. \(\frac{{15}}{{26}}\)

C. \(\frac{{5}}{{13}}\)

D. \(\frac{{5}}{{26}}\)

A. \(\cos a + \cos b = 2\cos \frac{{a + b}}{2}.cos\frac{{a - b}}{2}\)

B. \(\cos a - \cos b = 2\sin \frac{{a + b}}{2}.sin\frac{{a - b}}{2}\)

C. \(\sin a + \sin b = 2\cos \frac{{a - b}}{2}\sin \frac{{a + b}}{2}\)

D. \(\cos a.\cos b = \frac{1}{2}{\rm{[}}\cos (a + b) + cos(a - b){\rm{]}}\)

A. \( - \frac{\pi }{2} + k2\pi \)

B. \(k2\pi \)

C. \(\frac{\pi }{2} + k2\pi \)

D. \(\pi  + k\pi \)

A. f(x) = (x+1)(x-2)

B. f(x) = (x-1)(x+2)

C. \(f\left( x \right) = \frac{{x + 1}}{{x - 2}}\)

D. \(f\left( x \right) = \frac{{x - 1}}{{x + 2}}\)

A. -3

B. 3

C. -2

D. 2

A. \(l = \frac{{5\pi }}{4}\)

B. \(l = \frac{{5\pi }}{8}\)

C. \(l = \frac{{\pi }}{8}\)

D. \(l = \frac{{5\pi }}{16}\)

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

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

C. S = (-2; 2)

D. \(S = \left( { - \infty ; - 2} \right) \cup \left( {2; + \infty } \right)\)

A. \(1 - {m^2}\)

B. \(\frac{{{m^2} - 1}}{2}\)

C. \(\frac{{1 - {m^2}}}{2}\)

D. m²- 1

A. f(x) = x² - 2x + 1

B. f(x) = x² + 6x + 5

C. f(x) = x² - 5x - 16

D. \(f\left( x \right) = \frac{1}{3}{x^2} - 3x + 13\)

A. cot 9x

B. cot 3x

C. tan3x

D. tan9x

A. \(\frac{{7\pi }}{{12}}\)

B. \(\frac{{5\pi }}{{12}}\)

C. \(\frac{{9\pi }}{{12}}\)

D. \(\frac{{2\pi }}{{3}}\)

A. \(S = \left( { - 2; + \infty } \right)\)

B. \(S = \left( { - \infty ; - 2} \right)\)

C. \(S = \left( { - \infty ; 2} \right)\)

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

A. \(\sin (\pi  + x) = \sin x\)

B. \(\sin (\frac{\pi }{2} - x) = \cos x\)

C. \(\sin (\frac{\pi }{2} + x) = \cos x\)

D. \(\sin (\pi  - x) = \sin x\)

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

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

C. \(\left( { - \infty ; - \sqrt 2 } \right] \cup \left[ {\sqrt 2 ; + \infty } \right)\)

D. \(\left( { - \infty ; - \sqrt 2 } \right) \cup \left[ {\sqrt 2 ; + \infty } \right)\)

A. \(AB = 6\sqrt 7 \)

B. \(AB = 3\sqrt 7 \)

C. \(AB = 3\sqrt 21 \)

D. \(AB = 6\sqrt 21 \)

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

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

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

D. \(M\left( {2;\frac{-11}{2}} \right)\)

A. \(S = \left( { - \infty ;\frac{2}{3}} \right) \cup \left( {1; + \infty } \right)\)

B. \(S = \left( {\frac{2}{3};1} \right)\)

C. \(S = \left( { - \infty ;\frac{2}{3}} \right) \cup \left[ {1; + \infty } \right)\)

D. \(S = \left[ {\frac{2}{3};1} \right]\)

A. 3/5

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

C. 1/5

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

A. cos2x = 1 - 2cos²x

B. 1– sin2x = (sinx–cosx)²

C. cos(a+b) = cosa.cosb - sina.sinb

D. sin2x = 2sinxcosx

A. \(\frac{{26}}{{\sqrt {13} }}\)

B. \(\frac{{13}}{{\sqrt {2} }}\)

C. \(2\sqrt {13} \)

D. \(\frac{{23}}{{\sqrt {13} }}\)

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

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

C. \(\left\{ \begin{array}{l}
x = 1 - t\\
y =  5 - 3t
\end{array} \right.\)

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

A. A = 0

B. A = -2cotx

C. A = 2sinx

D. A = -2sinx

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

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

C. \(\left( { - \infty ; - 3} \right] \cup \left[ {15; + \infty } \right)\)

D. [-3; 15]

A. \(S = 45\sqrt 3 \)

B. \(S = 90\sqrt 2 \)

C. \(S = 90\sqrt 3 \)

D. \(S = 45\sqrt 2 \)

A. I(1 ; –2) , R = 3

B. I(1 ; –2) , R = 3

C. I(–1 ; 2) , R = \(\sqrt 5 \)

D. I(–1 ; 2) , R = 9 

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

B. \(\left\{ \begin{array}{l}
x = 4 + 3t\\
y =  1 - 3t
\end{array} \right.\)

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

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

A. 3x + y -1 > 0

B. 3x - y - 1 < 0

C. 5x + y - 1 < 0

D. 3x + y -1 < 0

A. 2

B. 6

C. 8

D. 4

A. x - 2y + 5 = 0

B. x - 2y + 3 = 0

C. x + 2y + 1 = 0

D. \(\frac{1}{3}x - \frac{2}{3}y - 1 = 0\)

A. \(\frac{{4\pi }}{5}\)

B. \(\frac{{9\pi }}{5}\)

C. \(\frac{{7\pi }}{5}\)

D. \(\frac{{31\pi }}{5}\)

A. 3x + 7y + 1 = 0

B. 7x + 3y +13 = 0

C. 7x + 3y -11 = 0

D. -3x + 7y + 13 = 0

A. \(\left( { - \infty ; - 3} \right) \cup \left( {3; + \infty } \right)\\)

B. R\(-3;3)

C. [-3; 3]

D. (-3; 3)

A. P(-1; 5)

B. N(4;3)

C. Q(-2; -3)

D. M(1; -3)

A. \(\frac{{\sqrt {21} }}{2}\)

B. \( - \frac{{\sqrt {21} }}{2}\)

C. \( - \frac{{\sqrt {21} }}{4}\)

D. \(\frac{{\sqrt {21} }}{4}\)

A. 10

B. 8

C. \(2\sqrt 7 \)

D. 6

A. \(\left[ \begin{array}{l}
m \le 1\\
m \ge 2
\end{array} \right.\)

B. m > 2

C. \(m \ge 3\)

D. \(m \in \emptyset \)

A. \(\tan \alpha  < 0.\)

B. \(\cos \alpha  > 0.\)

C. \(\cot \alpha  > 0.\)

D. \(\sin \alpha  < 0.\)

A. \({h_c} = \frac{{60\sqrt 7 }}{7}\)

B. \({h_c} = \frac{{90\sqrt 7 }}{7}\)

C. \({h_c} = \frac{{30\sqrt 7 }}{7}\)

D. \({h_c} = \frac{{15\sqrt 7 }}{7}\)

A. f(x) = x + 1

B. f(x) = x² + 3x + 1

C. f(x) = - x + 1

D. f(x) = -2x² + 3x - 5

A. 8

B. 15

C. 10

D. 5

A. x - 7y - 2 = 0

B. 7x - y = 0

C. -x - 7y + 2 = 0

D. 7x + y - 7 = 0