Đề thi HK1 môn Toán lớp 12 trường THPT Nguyễn Tất...

A \( - 1 < m < 3.\)                       

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

C  \( - 2 \le m < 2.\)                  

D  \( - 2 < m < 3.\)

A 1

B 2

C 3

D 0

A  \((2; + \infty )\).                   

B \((0;\,2)\).                                

C  \(( - \infty ;\,0)\).                 

D \(( - \infty ;\,0),\,\,(2;\, + \infty )\).

A \(m =  - 1\).                              

B \(m =  - 2\).                              

C \(m = 2\).                                 

D  \(m = 0\).

A \(\left( { - \frac{{25}}{{12}}; + \infty } \right)\).              

B \(\left[ { - \frac{{25}}{{12}}; + \infty } \right)\).              

C \(\left( { - \infty ;\, - \frac{{25}}{{12}}} \right)\).            

D  \(\left( { - \infty ;\, - \frac{{25}}{{12}}} \right]\).

A      \(y = {x^4} + {x^2} + 1\).         

B  \(y =  - {x^4} + {x^2} + 1\).

C \(y =  - {x^4} - {x^2} + 1\).     

D  \(y = {x^4} - {x^2} + 1\).

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

B \(y =  - {x^3} + 9{x^2} + 3x + 2\).

C  \(y = {x^3} + 2{x^2} + 8x + 2\).                                             

D  \(y = {x^3} - 9{x^2} - 3x + 5\).

A  \({{y}_{C}}=0;{{y}_{CT}}=-4\).                                               

B \({{y}_{C}}=4;{{y}_{CT}}=-4\)                                                 

C  \({{y}_{C}}=0;{{y}_{CT}}=4\)                                                  

D  \({{y}_{C}}=0;{{y}_{CT}}=-6\)

A  đồng biến trên từng khoảng xác định.                              

B nghịch biến trên\(R\backslash \left\{ 1 \right\}\).

C  đồng biến trên  \(( - \infty ; + \infty )\).                           

D  nghịch biến trên từng khoảng xác định.

A  \(y = x.\)                                  

B  \(y = 1.\)                                  

C  \(y = x - 1.\)                            

D  \(y = x + 1.\)

A -3

B 3

C 1

D -1

A Hàm số có ba cực trị.

B  Hàm số có giá trị lớn nhất bằng \(\frac{9}{{20}}\) và giá trị nhỏ nhất bằng \( - \frac{3}{5}.\)

C  Hàm số đồng biến trên khoảng \(\left( { - \infty ;1} \right).\)

D  Hàm số đạt cực đại tại \(x = 2\) và đạt cực tiểu tại \(x = 1.\)

A  \( - 5\).                                     

B  \( - 5\sqrt 2 \).                       

C      \( - 4\).                                        

D  \( - 4\sqrt 2 \).

A 2

B 1

C 3

D 0

A \({x^m}.{x^n} = {x^{m + n}}.\)                                              

B \({x^m}.{y^n} = {\left( {xy} \right)^{m + n}}.\)              

C \({x^m}.{y^m} = {\left( {xy} \right)^m}.\)                       

D  \({x^m}:{x^n} = {x^{m - n}}.\)

A \({x^{\frac{1}{{12}}}}\).      

B \({x^{\frac{1}{3}}}\).            

C \({x^{\frac{2}{3}}}\).            

D  \(y = {x^{\frac{5}{6}}}\).

A \(4\sqrt 3 .\)                            

B \(0.\)                                          

C     \(12\sqrt 3 .\)                           

D  \(28\sqrt 3 .\)

A \(1 + \frac{1}{x}.\)                

B  \(1 + \ln {\rm{x}}{\rm{.}}\)                                                    

C  \(1 + x.\)                                  

D \(1 - x.\)

A  \(R\backslash \left[ {1;2} \right]\)                                      

B  \(\left( {1;2} \right)\)         

C \(\left[ {1;2} \right]\)          

D  \(R\backslash \left( {1;2} \right)\)

A \(\frac{1}{4}\left( {{a^6} - 1} \right)\) .                              

B  \(\frac{1}{4}\left( {5a - 1} \right)\).                                          

C  \(\frac{1}{4}\left( {6a + 1} \right)\).                                   

D  \(\frac{1}{4}\left( {6a - 1} \right)\).

A 0

B 1

C 3

D 2

A  \(x = \frac{1}{{\sqrt e }}.\)

B  \(x = \sqrt e .\)                      

C  \(x = e\)                                   

D  \(x = \frac{1}{e}.\)

A \(\left\{ 0 \right\}\)             

B \(\left\{ {{\rm{1;}}\,{\rm{8}}} \right\}\) .                          

C  \(\left\{ {{\rm{0;}}\,{\rm{lo}}{{\rm{g}}_{\rm{3}}}{\rm{4}}} \right\}\) .                     

D  \(\left\{ {{\rm{0;}}\,{\rm{lo}}{{\rm{g}}_{\rm{3}}}{\rm{8}}} \right\}\).

A  \(\left( {5; + \infty } \right)\)                                                

B  \(\left( {14; + \infty } \right)\)                                                    

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

D  \(\left( {\frac{1}{2};14} \right)\).

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

B  \(\frac{{{a^3}}}{3}\).           

C \(\frac{{{a^3}}}{4}\).            

D  \(\frac{{{a^3}}}{6}\).

A  \(\frac{{\sqrt 3 \,{a^3}}}{6}.\)

B  \(\frac{{\sqrt 6 \,{a^3}}}{3}.\)                                               

C  \(\frac{{\sqrt 6 \,{a^3}}}{6}.\)                                               

D  \(\frac{{\sqrt 2 \,{a^3}}}{6}.\)

A \(V = \frac{{56\pi {a^2}}}{3}\).                                              

B \(V = \frac{{56\pi \sqrt {14} .{a^3}}}{3}\).                         

C  \(V = \frac{{7\pi \sqrt {14} .{a^3}}}{3}\).                          

D  \(V = \frac{{14\pi \sqrt 4 .{a^3}}}{3}\).

A \(2\,\sqrt 2 \,{a^3}.\)          

B \(8\,{a^3}.\)                            

C \(3\,\sqrt 3 \,{a^3}.\)          

D  \(3\,\sqrt 2 \,{a^3}.\)

A  Mọi hình chóp đều luôn có mặt cầu ngoại tiếp.

B Mọi tứ diện luôn có mặt cầu ngoại tiếp.

C  Mọi hình chóp luôn có mặt cầu ngoại tiếp.

D Mọi hình hộp chữ nhật luôn có mặt cầu ngoại tiếp.

A  \(100\pi {a^2}.\)                   

B \(104\pi {a^2}.\)                    

C \(102\pi {a^2}.\)                    

D  \(26\pi {a^2}.\)

A \(3\sqrt 3 \,\pi {a^2}.\)       

B  \(6\pi {a^2}.\)                       

C \(7\pi {a^2}.\)                               

D  \(8\pi {a^2}\).

A  \(100\pi .\)                             

B \(\frac{{500\pi }}{3}.\)        

C  \(20\pi .\)                                

D  \(10\pi \).

A  \(\pi \sqrt 2 .{a^3}\).          

B  \(\frac{{\pi \sqrt 3 .{a^3}}}{3}\).                                                

C  \(\frac{{\pi \sqrt 2 .{a^3}}}{2}\) .                                         

D  \(\frac{{\pi \sqrt 2 .{a^3}}}{3}\).

A \(\frac{{4{a^3}.\sqrt 6 }}{3}\).                                                

B  \(\sqrt 6 .{a^3}\) .                

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

D  \(\frac{{{a^3}.\sqrt 6 }}{3}\).

A  \(\left[ {\frac{1}{2};\,\frac{{e + 1}}{2}} \right]\).          

B  \(\left( {\frac{1}{2};\,\frac{{e + 1}}{2}} \right)\).          

C  \(\left( {\frac{1}{2};\,\frac{{e + 1}}{2}} \right]\).                 

D  \(\left[ {\frac{1}{2};\,\frac{{e + 1}}{2}} \right)\).

A  có tiệm cận đứng \(x =  - 3\).                                                

B có tiệm cận ngang \(y = \frac{5}{2}\).

C có tiệm cận ngang \(y =  - 3\).                                                

D  không có tiệm cận ngang.

A \(4\).                                          

B \(2\sqrt 3 \).                            

C \(2\sqrt 2 \).                            

D  \(2\).

A \(64\pi {a^3}\sqrt 2 .\)        

B \(\frac{{64\pi {a^3}\sqrt 2 }}{3}.\)                                        

C  \(\frac{{32\pi {a^3}\sqrt 2 }}{3}.\)                                             

D  \(32\pi {a^3}\sqrt 2 .\)

A  m = 1.                                              

B \(m = \frac{{28}}{3}.\)               

C \(m = \frac{4}{3}\)                

D  \(m = 25\)

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

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

C \(\left( { - 2;\;0} \right)\)   

D  \(\left( {0;\;2} \right)\)

A 0

B 1

C 2

D 3

A \(m = 0.\)                                 

B \(m = \sqrt[3]{3}.\)                     

C  \(m =  - \sqrt[3]{3}.\)          

D  \(m = 1.\)

A \(\emptyset \)

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

C \(\left( {0;2} \right).\)         

D  \(\left( { - 2;0} \right).\)

A 210 triệu.                                  

B 220 triệu.                                  

C  212 triệu.                                 

D  216 triệu.

A  \(\frac{{15}}{2}\;\,km.\)    

B \(\frac{{65}}{2}\;\,km.\)     

C  \(10\;\,km.\)                          

D  \(40\;\,km.\)

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

B  \(\frac{{{a^3}\sqrt 2 }}{{12}}.\)                                             

C \(\frac{{{a^3}\sqrt 2 }}{4}.\)                                                   

D  \(\frac{{{a^3}\sqrt 3 }}{{12}}.\)

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

B  \(\frac{{{x^2}\sqrt {3 - {x^2}} }}{6}.\)                                 

C \(\frac{{{x^2}.\sqrt {3 - {x^2}} }}{3}.\)                                

D  \(\frac{{x.\sqrt {3 - {x^2}} }}{6}.\)

A  \(\frac{{V'}}{V} = \frac{{{a^2}}}{{{a^2} + {b^2}}}\).     

B \(\frac{{V'}}{V} = \frac{{{a^2}}}{{{a^2} + {b^2} + {c^2}}}\).

C  \(\frac{{V'}}{V} = \frac{{{a^4}}}{{\left( {{a^2} + {b^2}} \right)\left( {{a^2} + {b^2} + {c^2}} \right)}}\).               

D  \(\frac{{V'}}{V} = \frac{{{a^2}}}{{{a^2} + {b^2}}} + \frac{{{a^2}}}{{{a^2} + {b^2} + {c^2}}}\).

A  \(\frac{1}{3}{a^2}.\sqrt {{b^2} - \frac{{{a^2}}}{2}} \).  

B \(\frac{1}{6}{a^2}.\sqrt {{b^2} - \frac{{{a^2}}}{2}} \).   

C \(\frac{1}{{12}}{a^2}.\sqrt {{b^2} - \frac{{{a^2}}}{2}} \).  

D  \(\frac{1}{{18}}{a^2}.\sqrt {{b^2} - \frac{{{a^2}}}{2}} \).

A \(h = 4r\).                                 

B \(h = 3r\)                                  

C \(h = 2r\).                                 

D  \(h = r\).