Đề thi HK1 môn Toán lớp 12 trường THPT Lương Thế V...

A \(x =  - 2;\,\,y =  - 2\).             

B \(x =  - 2;\,\,y = \frac{1}{2}\).             

C \(x =  - 2;\,\,y = 2\).                 

D  \(x = 2;\,\,y = 2\).

A  \({x_A} + \,{x_B} = 2\).                    

B  \({x_A} + \,{x_B} =  - 2\).                 

C \({x_A} + \,{x_B} = 0\).                     

D  \({x_A} + \,{x_B} = 1\).

A \(D = \mathbb{R}\).                                                                          

B \(D = \mathbb{R}{\rm{\backslash }}\left\{ {0;3} \right\}\).                                     

C \(D = \left( { - \infty ;0} \right) \cup \left( {3; + \infty } \right)\).                                                     

D  \(D = \left( {0;3} \right)\).

A  \( - 2 < m < 2\).                      

B  \(\left\{ \begin{array}{l}m \ne 0\\ - 2 < m < 2\end{array} \right.\).                        

C  Mọi giá trị m.            

D  \( - 2 \le m \le 2\).

A  \({x^2} + {y^2} + {z^2} - x - 2y - 3z = 0\).                                       

B  \({x^2} + {y^2} + {z^2} - x - 2y - 3z - 14 = 0\).        

C  \({x^2} + {y^2} + {z^2} - x - 2y - 3z - 6 = 0\).                                  

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

A  Đồ thị hàm số có tiệm cận đứng là \(x = 2\).                         

B  Hàm số có tiệm cận đứng là \(x = 2\).

C  Đồ thị hàm số không có tiệm cận.                                        

D  Đồ thị hàm số có tiệm cận ngang \(y = \frac{1}{2}\).

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

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

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

D  \(S = \left\{ {1;2} \right\}\).

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

B \(R = \frac{{a\sqrt 5 }}{2}\).                          

C  \(R = \frac{{a\sqrt {11} }}{2}\).                                

D  \(R = \frac{{a\sqrt 2 }}{2}\).

A 1.                                            

B \(e\).                                        

C  0.                                           

D  \(\frac{1}{e}\).

A \(\frac{{4{R^3}\sqrt 3 }}{2}\).                                   

B \(\frac{{8{R^3}\sqrt 3 }}{9}\).                                   

C  \(\frac{{16{R^3}\sqrt 3 }}{3}\).                                

D  \(\frac{{8{R^3}\sqrt 3 }}{3}\).

A \(y = 2\).                                 

B \(y =  - 3x + 2\).                      

C \(y = 3x + 2\).             

D  \(y =  - 3x - 2\).

A \( - 13 < m <  - 9\).                 

B \( - 9 < m < 3\).                       

C \( - 13 < m < 3\).                     

D  \(3 < m < 9\).

A Không có m.              

B \(m \in \left\{ {0;4} \right\}\).                         

C  \(m \in \left\{ { - 4;0} \right\}\).                     

D  \(m = 0\).       

A 4

B 3

C 2

D 1

A  \(m = 1\).                               

B Không có m.              

C \(m = \frac{3}{2}\).                            

D  \(m = \frac{1}{2}\).   

A  \({{y}_{C}}=\sqrt{2017}\).                

B \({{y}_{C}}=0\).                               

C \({{y}_{C}}=\sqrt{2018}\).              

D  \({{y}_{C}}=2018\).

A 0

B 3

C 2

D 1

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

B 2.                                            

C \(\sqrt 2 \).                              

D  1.

A  \(D = \left( { - \infty ; - 1} \right) \cup \left( {1; + \infty } \right)\).                                                

B  \(D = \emptyset \).                                                    

C  \(D = R\).                                                                              

D  \(D = R{\rm{\backslash }}\left\{ { \pm 1} \right\}\).

A \(C\left( {3;0;0} \right)\).                               

B \(C\left( {2;0;0} \right)\).                               

C  \(C\left( {1;0;0} \right)\).                              

D  \(C\left( {5;0;0} \right)\).      

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

B \(M\left( {\frac{3}{2};\frac{1}{2};0} \right)\).                      

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

D  \(M\left( {\frac{1}{2};\frac{3}{2};0} \right)\).

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

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

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

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

A 3

B 1

C 2

D 0

A \(x = 8\).                                

B  \(x = 10\).                              

C  \(x = 7\).                                

D  \(x = 9\).

A  962.                                       

B  964.                                       

C 961.                                        

D  963.

A  \(T = 1\).                                

B  \(T = e\).                                

C \(T = \frac{1}{e}\).                             

D  \(T = {e^{\frac{1}{{2018}}}}\).

A \(V = 18\).                              

B \(V = 6\).                                

C  \(V = 9\).                               

D  \(V = 12\).

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

B  \(V = 3{a^3}\).                                  

C  \(V = {a^3}\).                        

D  \(V = \frac{{3{a^3}}}{2}\).

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

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

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

D  \(\left( {0; + \infty } \right)\).

A  \(T = 1\).                                

B  \(T =  - 5\).                            

C  \(T = 3\).                                

D  \(T =  - 2\).

A \(m + n =  - 3\).                      

B \(m + n = 3\).                          

C \(m + n = 1\).                          

D  \(m + n =  - 1\).

A  \(f\left( 2 \right) = 8\).                                   

B  \(f\left( 2 \right) = 0\).                                   

C \(f\left( 2 \right) = 6\).                        

D  \(f\left( 2 \right) = 4\).

A 0.                                       

B  1.                                       

C  -1.                                      

D  2017.

A \(V = \frac{{64\sqrt 3 }}{9}\).                        

B \(V = 8\).                                

C \(V = \frac{{8\sqrt 3 }}{9}\).                          

D  \(V = \frac{{8\sqrt 3 }}{3}\).

A \(y = {\left( {\frac{\pi }{e}} \right)^{2x + 1}}\).                     

B \(y = {3^{ - x}}\).                                

C \(y = {\left( {\left| {\sin 2017} \right|} \right)^x}\).                

D  \(y = {\left( {\frac{2}{e}} \right)^x}\).

A  \({x_A}{x_B} =  - 1\).                        

B \({x_A}{x_B} =  - 3\).                        

C  \({x_A}{x_B} =  - 2\).            

D  \({x_A}{x_B} = 2\).   

A  \(k =  - \frac{1}{3}\).                         

B  \(k =  - 1\).                             

C  \(k =  - 3\).                             

D  \(k = \frac{1}{3}\).

A \({S_{xq}} = 10\pi \).                          

B \({S_{xq}} = 15\pi \).                          

C  \({S_{xq}} = 25\pi \).                         

D  \({S_{xq}} = 30\pi \).

A \(\mathop {\min }\limits_{x \in \left[ {1;3} \right]} y = 4\).                         

B  \(\mathop {\min }\limits_{x \in \left[ {1;3} \right]} y = 5\).                         

C  \(\mathop {\min }\limits_{x \in \left[ {1;3} \right]} y = \frac{{16}}{3}\).                

D  \(\mathop {\min }\limits_{x \in \left[ {1;3} \right]} y = 6\).

A \(y = {x^3} - 3x - 2\).

B \(y = {x^4} - 2{x^2} - 2\).      

C \(y =  - {x^4} + 2{x^2} - 2\).  

D  \(y = {x^4} + 2{x^2} - 2\).

A \(S = \left( {3;4} \right)\).                               

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

C  \(S = \left( {3;\frac{9}{2}} \right)\).                          

D  \(S = \left( {3;4} \right]\).

A \(V = 3{a^3}\).                                 

B \(V = {a^3}\).                         

C \(V = \frac{{3{a^3}}}{2}\).                            

D  \(V = \frac{7}{4}{a^3}\).

A \({\left( {x + 1} \right)^2} + {\left( {y - 2} \right)^2} + {z^2} = 100\).                                             

B \({\left( {x + 1} \right)^2} + {\left( {y - 2} \right)^2} + {z^2} = 5\).                         

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

D \({\left( {x + 1} \right)^2} + {\left( {y - 2} \right)^2} + {z^2} = 25\).

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

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

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

D  \(\left( { - \infty ;1} \right)\).

A  \({V_{S.ABC}} = \frac{{{a^3}\sqrt 3 }}{{12}}\).                

B \({V_{S.ABC}} = \frac{{{a^3}\sqrt 2 }}{{12}}\).                 

C \({V_{S.ABC}} = \frac{{{a^3}\sqrt 3 }}{3}\).                      

D  \({V_{S.ABC}} = \frac{{{a^3}\sqrt 3 }}{4}\).

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

B  \(\frac{{1 + \sqrt 5 }}{4}\).                            

C  \(\frac{1}{4}\).                                               

D  \(\frac{{5 - \sqrt 5 }}{4}\).

A  \(y' = \frac{1}{{\left( {{x^2} - 2x} \right)\ln 2}}\).               

B  \(y' = \frac{{x - 1}}{{{x^2} - 2x}}\).              

C  \(y' = \frac{{x - 1}}{{\left( {{x^2} - 2x} \right)\ln 2}}\).                   

D  \(y' = \frac{{x - 1}}{{\left( {{x^2} - 2x} \right)\ln \sqrt 2 }}\)

A  \(m = 1\).                               

B  \(m = 0\).                               

C \(m = \frac{{ - 1}}{4}\).                                  

D  \(m = \frac{1}{4}\).

A  \({S_{xq}} = 9\pi \).                           

B \({S_{xq}} = 27\pi \).              

C \({S_{xq}} = 18\pi \).                          

D  \({S_{xq}} = 36\pi \).