Đề thi HK1 môn Toán lớp 12 trường THPT Chuyên Long...

A  \(y = {x^4} + 2{x^2} - 1\)       

B  \(y =  - {x^4} - 2{x^2} - 1\)   

C  \(y = {x^4} - 2{x^2} - 1\)       

D  \(y = 2{x^4} + 4{x^2} + 1\)

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

B  \(f'\left( x \right) = x{2^{x - 1}}\)                                 

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

D  \(f'\left( x \right) = {2^x}\ln 2\)

A  Kết quả khác              

B 1

C 0

D 2

A  \(\left( {1;2} \right)\)

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

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

D  \(\left( {1; + \infty } \right)\)

A  \(V = \frac{{8{a^3}}}{3}\)                                    

B \(V = \frac{{2{a^3}}}{3}\)       

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

D  \(V = 4{a^3}\)

A  \(P = \frac{{17}}{5}\)              

B  \(P = 0\)

C \(P = 17\)                                   

D  \(P = 34\)

A  3        

B \({3^{\sqrt 3 }}\)                      

C  \({3^{\sqrt 3  + 1}}\)              

D  \({3^{ - \sqrt 3 }}\)

A  \(m = 2\)                                   

B  \(m = 4\)                                   

C \(m = 1\)                                   

D  \(m = 3\)

A 3

B 1

C 2

D 0

A \(V = {a^3}\frac{{\sqrt 3 }}{4}\)                                     

B  \(V = \frac{{{a^3}\sqrt 3 }}{{12}}\)                               

C  \(V = \frac{{{a^3}\sqrt 3 }}{7}\)                                    

D  \(V = \frac{{{a^3}\sqrt 3 }}{3}\)

A  \(\frac{{{a^3}\sqrt 3 }}{4}\)  

B  \(\frac{{{a^3}\sqrt 3 }}{{12}}\)                                      

C \(\frac{{{a^3}}}{6}\)                

D  \(\frac{{{a^3}\sqrt 3 }}{6}\)

A 44 tháng                                       

B  45 tháng                                      

C 47 tháng                                       

D  46 tháng

A \(S = 25\pi \)                             

B \(S = 289\pi \)                           

C  \(S = 169\pi \)                          

D \(S = 144\pi \)

A \(y = \frac{{x - 2}}{{ - x - 2}}\)                                        

B  \(y = \frac{{x + 1}}{{1 - x}}\)

C  \(y = \frac{{2x - 1}}{{x - 1}}\)                                         

D  \(y = \frac{{x + 1}}{{x - 1}}\)

A  \(x =  - 2\)                                 

B  \(x = 2;\,\,x =  - 2\)                

C \(x = 4\)                                      

D  \(x = 2\)

A \(\frac{{{a^3}\sqrt 6 }}{3}\)   

B  \(\frac{{{a^3}\sqrt 3 }}{6}\)  

C  \(\frac{{{a^3}\sqrt 6 }}{2}\)  

D  \(\frac{{{a^3}\sqrt 6 }}{6}\)

A \(y = \frac{1}{{x + 1}}\)          

B \(y = \frac{2}{{x + 2}}\)          

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

D  \(y = \frac{{5x}}{{2 - x}}\)

A 2

B -2

C -4

D 4

A 6

B 4

C 8

D 2

A -1

B -4

C 4

D 2

A \({\log _2}{a^2} = \frac{1}{2}{\log _2}a\)                                                              

B  \({\log _{{a^2} + 1}}a \ge {\log _{{a^2} + 1}}b \Leftrightarrow a \le b\)

C  \({\log _2}\left( {{a^2} + {b^2}} \right) = 2{\log _2}\left( {a + b} \right)\)  

D  \({\log _{\frac{3}{4}}}a < {\log _{\frac{3}{4}}}b \Leftrightarrow a > b\).

A -1

B 6

C -5

D 2

A \(V = \frac{1}{6}abc\)             

B \(V = \frac{1}{3}abc\)             

C  \(V = abc\)                                

D  \(V = \frac{4}{3}abc\)

A 4

B 2

C 3

D 1

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

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

C \(D = \left( {0;1} \right)\)      

D  \(D = \left( {1; + \infty } \right)\)

A Đồ thị hàm số logarit không nằm bên dưới trục hoành

B  Đồ thị hàm mũ với cơ số dương nhỏ hơn 1 thì nằm dưới trục hoành

C Đồ thị hàm số logarit luôn nằm bên phải trục tung

D  Đồ thị hàm số mũ với số mũ âm luôn có hai tiệm cận.

A  \({S_{xq}} = \frac{{\pi {a^2}\sqrt {10} }}{8}\)             

B  \({S_{xq}} = \frac{{\pi {a^2}\sqrt 7 }}{6}\)                  

C  \({S_{xq}} = \frac{{\pi {a^2}\sqrt 3 }}{3}\)                  

D  \({S_{xq}} = \frac{{\pi {a^2}\sqrt 7 }}{4}\)

A  \(y = \frac{1}{3}x - \frac{1}{3}\)                                   

B  \(y = x - 3\)                               

C  \(y = 3x\)                                   

D  \(y = 3x - 3\)

A  \({S_{tp}} = 5\left( {4\sqrt {11}  + 5} \right)\pi \)                                              

B  \({S_{tp}} = 26\pi \)

C  \({S_{tp}} = 576\pi \)                                                        

D  \({S_{tp}} = 10\left( {2\sqrt {11}  + 5} \right)\pi \)

A  \(I\left( {2; - 20} \right)\)     

B  \(I\left( { - 1;7} \right)\)       

C  \(I\left( { - 2;0} \right)\)       

D  \(I\left( {1; - 9} \right)\)

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

B  \(V = 4\pi {a^3}\)                    

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

D  \(V = 2\pi {a^3}\)

A  Hàm số đạt giá trị nhỏ nhất là -4                                         

B  Hàm số đạt cực đại tại \(x =  - 1\)

C  Đồ thị hàm số có điểm cực tiểu \(x = 0\)                          

D  Đồ thị hàm số chỉ có hai tiệm cận.

A 3

B 5

C 4

D 0

A  \(T = 7\)                                    

B  \(T = 4\)                                    

C \(T = 5\)                                     

D  \(T = 8\)

A  \(S = 4\)                                     

B  \(S = 8\)                                     

C  \(S = 2\sqrt 5 \)                       

D  \(S = 2\)

A  \(3\sqrt 2 \)                              

B  \(\frac{{3\sqrt 2 }}{2}\)         

C  3        

D  \(\frac{3}{2}\)

A  \( - 3\)                                       

B \(3 - \sqrt 5 \)                           

C  3

D  \(3 + \sqrt 5 \)

A \(x = 8\)                                      

B  \(x = 10\)

C  \(x = 9\)                                     

D  \(x = 6\)

A  \(P = 4\sqrt 2 \)                       

B  \(P = 3\sqrt 2 \)                       

C  \(P = 6\)                                    

D  \(P = 6\sqrt 2 \)

A  \(25\pi \sqrt 7 \)                     

B  \(50\pi \sqrt 7 \)                     

C \(16\pi \sqrt 7 \)                      

D  \(25\pi \sqrt {14} \)

A  12 đỉnh, 24 cạnh                         

B  10 đỉnh, 24 cạnh                         

C  10 đỉnh, 48 cạnh                         

D  12 đỉnh, 20 cạnh

A  \(\gamma  > \beta  > \alpha \)                                     

B  \(\beta  > \alpha  > \gamma \)                                     

C  \(\alpha  > \beta  > \gamma \)                                     

D  \(\beta  > \gamma  > \alpha \)

A  \(\left[ { - 2;3} \right]\)        

B  \(\left[ {2;6} \right]\)            

C  \(\left[ {0;5} \right]\)

D  \(\left[ { - 1;6} \right]\)

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

B  \(m \in \left( { - \infty ;\frac{2}{3}} \right)\)            

C  \(m \in \left( {\frac{2}{3};1} \right)\)                          

D  \(m \in \left[ {\frac{2}{3}; + \infty } \right)\)

A 4

B 3

C 1

D 2

A  \(a\sqrt {10} \)                        

B  \(\frac{{a\sqrt {10} }}{3}\)    

C  \(\frac{{a\sqrt {10} }}{2}\)    

D  \(\frac{{a\sqrt {10} }}{{10}}\)

A  \(S = \frac{{{a^2}\sqrt 2 }}{2}\)                                     

B  \(S = \frac{{{a^2}\sqrt 3 }}{3}\)                                     

C \(S = \frac{{{a^2}\sqrt 2 }}{3}\)                                      

D  \(S = \frac{{{a^2}}}{3}\)

A  \(V = 18\)                                  

B  \(V = 24\)                                  

C  \(V = 12\)                                  

D  \(V = 54\)

A  \({V_{\max }} = {a^3}\sqrt 6 \)                                      

B  \({V_{\max }} = \frac{{{a^3}\sqrt 6 }}{2}\)                 

C  \({V_{\max }} = \frac{{{a^3}\sqrt 6 }}{3}\)                 

D  \({V_{\max }} = \frac{{{a^3}\sqrt 6 }}{6}\)