Đề thi HK2 môn Toán lớp 10 THPT Vân Tảo Hà Nội N...

A \(\cos \left( {a + b} \right) = \cos a.\cos b + \sin a.\sin b\)

B \(\cos \left( {a + b} \right) = \cos a.\sin b - \sin a.\cos b\)                             

C \(\sin \left( {a + b} \right) = \sin a.\sin b + \cos a.\cos b\)                               

D \(\sin \left( {a + b} \right) = \sin a.\cos b + \sin b.\cos a\)

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

B \(\left[ {\frac{{ - 1}}{2};2} \right]\)       

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

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

A \(f\left( x \right) < 0\) với \(2 < x < 3\) và \(f\left( x \right) > 0\) với \(x < 2\) hoặc \(x > 3\)

B \(f\left( x \right) > 0\) với \(2 < x < 3\) và \(f\left( x \right) < 0\) với \(x < 2\) hoặc \(x > 3\)

C \(f\left( x \right) < 0\) với \( - 3 < x <  - 2\) và \(f\left( x \right) > 0\) với \(x <  - 3\) hoặc \(x >  - 2\)

D \(f\left( x \right) > 0\) với \( - 3 < x <  - 2\) và \(f\left( x \right) < 0\) với \(x <  - 3\) hoặc \(x >  - 2\)

A \({\cos ^2}a - {\sin ^2}a = \cos 2a\).

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

C \(2{\sin ^2}a = 1 - \cos 2a\).

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

A \(\left( { - 1;3} \right)\)

B \(\mathbb{R}\)

C \(\emptyset \)

D \(\left( { - \infty ; - 1} \right) \cup \left( {3; + \infty } \right)\)

A \(\overrightarrow n  = \left( { - 5;1} \right)\)

B \(\overrightarrow n  = \left( {5;1} \right)\)

C \(\overrightarrow n  = \left( {1; - 5} \right)\)

D \(\overrightarrow n  = \left( {1;5} \right)\)

A \(1 + {\tan ^2}\alpha  = \frac{1}{{{{\cos }^2}\alpha }}\)

B \(\tan \alpha .\cot \alpha  =  - 1\)                

C \(1 + {\cot ^2}\alpha  = \frac{1}{{{{\sin }^2}\alpha }}\)

D \({\sin ^2}\alpha  + {\cos ^2}\alpha  = 1\)

A \(1 < m < 3\)           

B \(\frac{3}{4} < m < \frac{3}{2}\)

C \(m > \frac{3}{4}\)

D \(m > \frac{3}{2}\)

A \(M\left( {2;3} \right)\)    

B \(N\left( {2;2} \right)\)

C \(Q\left( { - 1; - 5} \right)\)

D \(P\left( {3; - 1} \right)\)

A \(\forall x\)

B \(x > \frac{{20}}{{23}}\)

C \(x > \frac{{ - 5}}{2}\)        

D \(x < 2\)

A \(\frac{{\sqrt 3 }}{2}\)      

B \(0\)

C \( - \frac{{\sqrt 3 }}{2}\)   

D \(\frac{1}{2}\)

A \(\overrightarrow u  = \left( { - 4;5} \right)\)

B \(\overrightarrow u  = \left( {3;5} \right)\)

C \(\overrightarrow u  = \left( { - 4; - 5} \right)\)

D \(\overrightarrow u  = \left( { - 3;5} \right)\)

A \(\overrightarrow u  = \left( {5;2} \right)\)

B \(\overrightarrow u  = \left( {2; - 5} \right)\)

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

D \(\overrightarrow u  = \left( { - 1;3} \right)\)

A \(R = \frac{1}{5}\)

B \(R = 3\)       

C \(R = \sqrt 5 \)

D \(R = 1\)

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

B \(S = \left[ {8; + \infty } \right)\)     

C \(S = \left( { - 1;8} \right)\)

D \(S = \left( {8; + \infty } \right)\)

A \( - 3x + 8y - 30 = 0\)

B \( - 3x + 8y + 30 = 0\)       

C \(8x + 3y + 1 = 0\)

D \(8x + 3y - 1 = 0\)

A \(\sin \alpha  < 0\)           

B \(\sin \alpha  > 0\)           

C \(\tan \alpha  > 0\)           

D \(\cos \alpha  > 0\)

A \(\cos \alpha  > 0\)

B \(\cos \alpha  < 0\)           

C \(\tan \alpha  < 0\)           

D \(\sin \alpha  < 0\)

A \(\frac{{\sqrt {13} }}{2}\)

B \(2\)

C \(2\sqrt {13} \)

D \(\frac{{28}}{{\sqrt {13} }}\)

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

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

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

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

A \({\left( {x + 1} \right)^2} + {\left( {y - 2} \right)^2} = 20\)

B \({\left( {x + 1} \right)^2} + {\left( {y - 2} \right)^2} = \sqrt {20} \)        

C \({\left( {x - 3} \right)^2} + {\left( {y - 4} \right)^2} = 20\)           

D \({\left( {x - 1} \right)^2} + {\left( {y + 2} \right)^2} = 20\)

A \(\left( {2; + \infty } \right)\)     

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

C \(\left( {3; + \infty } \right)\)

D \(\left( { - 2; + \infty } \right)\)

A \(\frac{{\sqrt 8 }}{3}\)      

B \(\frac{{17}}{9}\)

C \(1 - \frac{{2\sqrt 2 }}{3}\)

D \( - \frac{1}{9}\)

A \(x \in \left( {1;2} \right) \cup \left( {4;7} \right).\)

B \(x \in \left( { - \infty ;4} \right) \cup \left( {7; + \infty } \right).\)

C \(x \in \left( {1;4} \right) \cup \left( {7; + \infty } \right).\)

D \(x \in \left( { - \infty ;1} \right) \cup \left( {2;4} \right) \cup \left( {7; + \infty } \right).\)

A \(x \in \left[ { - 6; - \frac{1}{2}} \right] \cup \left[ {5; + \infty } \right)\)

B \(x \in \left( { - \infty ; - \frac{1}{2}} \right) \cup \left[ {5; + \infty } \right)\)

C \(x \in \left( { - \infty ; - 6} \right] \cup \left[ { - \frac{1}{2};5} \right]\)

D \(x \in \left( { - 6; - \frac{1}{2}} \right) \cup \left( {5; + \infty } \right)\)

A \({\rm{a)}}\,\,\sin \alpha  =  - \frac{3}{5}\,\,;\,\,\cos \alpha  =  - \frac{4}{5}\)

B \({\rm{a)}}\,\,\sin \alpha  = \frac{3}{5}\,\,;\,\,\cos \alpha  =  - \frac{4}{5}\)

C \({\rm{a)}}\,\,\sin \alpha  = \frac{4}{5}\,\,;\,\,\cos \alpha  =  - \frac{3}{5}\)

D \({\rm{a)}}\,\,\sin \alpha  =  - \frac{4}{5}\,\,;\,\,\cos \alpha  =  - \frac{3}{5}\)

A \(I\left( {2;1} \right)\,\,;\,\,R = \sqrt 5 \)

B \(I\left( {1;2} \right)\,\,;\,\,R = 2\sqrt 5 \)

C \(I\left( {0;1} \right)\,\,;\,\,R = 5\)

D \(I\left( {0;2} \right)\,\,;\,\,R = 2\)

A \(3x - 4y + 1 = 0\)

B \(4x - 3y + 1 = 0\)

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

D \(4x - 3y + 3 = 0\)

A \(M\left( { - 7;\,0} \right),\,\,M\left( { - 1;\,0} \right).\)

B \(M\left( {7;\,0} \right),\,\,M\left( { - 1;\,0} \right).\)

C \(M\left( { - 7;\,0} \right),\,\,M\left( {1;\,0} \right).\)

D \(M\left( {7;\,0} \right),\,\,M\left( {1;\,0} \right).\)