Đề thi HK2 môn Toán 10 năm 2021 - Trường THPT Thanh Đa

A. \(\tan \left( { - \alpha } \right) =  - \tan \alpha \)

B. \(\cot \left( { - \alpha } \right) =  - \cot \alpha \)

C. \(\sin \left( { - \alpha } \right) =  - \sin \alpha \)

D. \(\cos \left( { - \alpha } \right) =  - \cos \alpha \)

A. \(S = \left[ {4; + \infty } \right)\)

B. \(S = \left( { - \infty ; - 4} \right]\)

C. \(S = \left( { - \infty ;4} \right]\)

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

A. \(f\left( x \right) = 2 - 4x\)

B. \(f\left( x \right) = 16 - 8x\)

C. \(f\left( x \right) =  - x - 2\)

D. \(f\left( x \right) = x - 2\)

A. 5x - 6y + 7 = 0

B. 2x + 3y - 8 = 0

C. 3x - 2y - 5 = 0

D. 3x - 2y + 5 = 0

A. \(\left[ { - 1;\frac{9}{2}} \right]\)

B. \(\left[ { - 2;\frac{9}{4}} \right]\)

C. \(\left[ { - \frac{1}{2};9} \right]\)

D. \(\left[ { - \frac{3}{2};3} \right]\)

A. 2 < m < 3

B. m < 2

C. \(m \le 3\)

D. m > 3

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

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

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

D. \(\frac{{\sqrt 5 }}{4}\)

A. \(I\left( {2; - 3} \right),R = 5\)

B. \(I\left( { - 2;3} \right),R = 5\)

C. \(I\left( {2; - 3} \right),R = 25\)

D. \(I\left( { - 2;3} \right),R = 25\)

A. \(30^\circ \)

B. \(60^\circ \)

C. \(45^\circ \)

D. \(23^\circ 12'\)

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

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

C. \(\overrightarrow u \left( {3;1} \right)\)

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

A. \(\frac{{\sqrt {17} }}{4}\)

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

C. \( - \frac{1}{6}\)

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

A. m = 0

B. \(m \in \emptyset \)

C. m = 2

D. \(m = \frac{3}{8}\)

A. \(625{m^2}\)

B. \(1150{m^2}\)

C. \(1350{m^2}\)

D. \(1250{m^2}\)

A. 7x - y + 30 = 0

B. 7x - y + 35 = 0

C. x - y + 6 = 0

D. 7x - 3y + 34 = 0

A. \({a^2} - 2a + 1\)

B. \({a^2} + a + 1\)

C. \({a^2} + 2a + 1\)

D. \({a^2} + 2a - 1\)

A. \({\left( {x - 1} \right)^2} + {\left( {y - 3} \right)^2} = 8\)

B. \({\left( {x - 1} \right)^2} + {\left( {y - 3} \right)^2} = 10\)   

C. \({\left( {x - 3} \right)^2} + {\left( {y - 1} \right)^2} = 10\)

D. \({\left( {x - 3} \right)^2} + {\left( {y - 1} \right)^2} = 8\)

A. 3

B. \(2\sqrt 2 \)

C. 2

D. \(\frac{5}{2}\)

A. \(\frac{5}{{\sqrt {13} }}\)

B. \(\frac{{12}}{{13}}\)

C. \(\frac{{12}}{{\sqrt {13} }}\)

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

A. \(2\sqrt {19} \)

B. 76

C. 14

D. \(6\sqrt 2 \)

A. \(\cos \left( {A + C} \right) =  - \cos B\)

B. \(\tan \left( {A + C} \right) = \tan B\)

C. \(\sin \left( {A + C} \right) =  - \sin B\)

D. \(\cot \left( {A + C} \right) = \cot B\)

A. \(\frac{{ - 3\sqrt {17} }}{{13}}\)

B. \(\frac{4}{{3\sqrt {17} }}\)

C. \(\frac{{3\sqrt {17} }}{{13}}\)

D. \(\frac{{3\sqrt {17} }}{{14}}\)

A. 26

B. 13

C. \(5\sqrt {26} \)

D. \(10\sqrt 6 \)

A. \(\frac{5}{2}\)

B. 2

C. \(\frac{3}{{32}}\)

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

A. \(\left( { - \infty ;1} \right]\backslash \left\{ {\frac{2}{3}} \right\}\)

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

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

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

A. 4x + 3y - 5 = 0

B. 4x - 3y - 5 = 0

C. 3x + 4y + 5 = 0

D. 3x - 4y - 5 = 0

A. \(\frac{{{x^2}}}{9} + \frac{{{y^2}}}{{16}} = 1\)

B. \(\frac{{{x^2}}}{{64}} + \frac{{{y^2}}}{{36}} = 1\)

C. \(\frac{{{x^2}}}{{16}} + \frac{{{y^2}}}{9} = 1\)

D. \(9{x^2} + 16{y^2} = 1\)

A. \(P = 2\cot a\)

B. \(P = 2\cos a\)

C. \(P = 2\tan a\)

D. \(P = 2\sin a\)

A. \(m \in \left[ { - \frac{1}{2};\frac{1}{2}} \right]\)

B. \(m \in \left( { - \infty ;\frac{1}{2}} \right]\)

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

D. \(m \in \left[ { - \frac{1}{2};0} \right) \cup \left( {0;\frac{1}{2}} \right]\)

A. \(ab = \frac{1}{2}\)

B. ab = 3

C. ab = 1

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

A. - 4 < m < 1

B. \(\left[ \begin{array}{l}m <  - 4\\m > 1\end{array} \right.\)

C. - 1 < m < 4

D. \(\left[ \begin{array}{l}m > 4\\m <  - 1\end{array} \right.\)

A. \(S = \left( { - \infty ; - 1} \right] \cup \left[ {5; + \infty } \right).\)

B. \(S = \left[ { - 1;5} \right].\)

C. \(S = \left[ { - 5;1} \right]\)

D. \(S = \left( { - 5;1} \right).\)

A. \(S = \left( { - \infty ;\frac{1}{2}} \right) \cup \left( {\frac{4}{3}; + \infty } \right).\)

B. \(S = \left[ {\frac{1}{2};\frac{4}{3}} \right].\)

C. \(S = \left( {\frac{1}{2};\frac{4}{3}} \right).\)

D. \(S = \left[ {\frac{1}{2};\frac{3}{4}} \right].\)

A. \(\frac{{\sqrt 3 }}{6} - \frac{{\sqrt 2 }}{2}.\)

B. \(\frac{{\sqrt 3 }}{3} - \frac{1}{2}.\)

C. \(\frac{{\sqrt 3 }}{6} + \frac{{\sqrt 2 }}{2}.\)

D. \(\sqrt 6  - \frac{1}{2}.\)

A. 1

B. 2

C. 3

D. 4

A. \(\sqrt {356 + 160\sqrt 3 } \,{\rm{cm}}{\rm{.}}\)

B. \(2\sqrt {89} \,{\rm{cm}}{\rm{.}}\)

C. \(14\,{\rm{cm}}{\rm{.}}\)

D. \(2\sqrt {129} \,{\rm{cm}}{\rm{.}}\)

A. 48 kệ sách và 24 bàn làm việc.

B. 60 kệ sách và 60 bàn làm việc.

C. 24 kệ sách và 48 bàn làm việc.

D. 0 kệ sách và 60 bàn làm việc.

A. \(\cos \alpha  = \frac{{\sqrt 3 }}{3}.\)

B. \(\cos \alpha  = \frac{{\sqrt {10} }}{{10}}.\)

C. \(\cos \alpha  = \frac{{\sqrt 2 }}{2}.\)

D. \(\cos \alpha  = \frac{{\sqrt 2 }}{3}.\)

A. \({x^2} + {y^2} + x + y + 4 = 0.\)

B. \({x^2} - {y^2} + 4x - 6y - 2 = 0.\)

C. \({x^2} + 2{y^2} - 2x + 4y - 1 = 0.\)

D. \({x^2} + {y^2} - 4x - 1 = 0.\)

A. a < b

B. a > b

C. a = b

D. \(a \ne b\)

A. \(f\left( x \right) > 0 \Leftrightarrow x > 2019\)

B. \(f\left( x \right) > 0 \Leftrightarrow f\left( x \right) >  - 2019\)

C. \(f\left( x \right) < 0 \Leftrightarrow \left[ \begin{array}{l}x <  - 2019\\x > 2019\end{array} \right.\)

D. \(f\left( x \right) < 0 \Leftrightarrow  - 2019 < x < 2019\)