Đề thi thử THPT QG môn Toán Sở GD&ĐT Hưng Yên - lầ...

A Hàm số nghịch biến trên các khoảng \(\left( -\infty ;1 \right)\)  và \(\left( 1;+\infty  \right)\)

B  Hàm số luôn nghịch biến trên R.

C  Hàm số đồng biến trên các khoảng \(\left( -\infty ;1 \right)\)  và \(\left( 1;+\infty  \right)\)

D  Hàm số luôn đồng biến trên \(R\backslash \left\{ 1 \right\}\)

A  \(y'=\frac{1}{x}\)                             

B  \(y'=\frac{\ln 6}{x}\)                        

C  \(y'=\frac{1}{3x}\)                           

D  \(y'=\frac{1}{x\ln 6}\)

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

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

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

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

A 11 mặt, 20 cạnh

B  10 mặt, 15 cạnh         

C  9 mặt, 18 cạnh                       

D  12 mặt, 25 cạnh

A  \({{t}^{2}}+t-3=0\)             

B  \({{t}^{2}}-\frac{1}{2}t-3=0\)                   

C  \({{t}^{2}}+\frac{1}{2}t-3=0\)                  

D  \({{t}^{2}}-t-4=0\)

A  \(F\left( x \right)=\tan x-1\)                                       

B  \(F\left( x \right)=-\tan x\)                 

C  \(F\left( x \right)=\tan x+1\)                                      

D  \(F\left( x \right)=-\tan x+1\)

A \(\left( -\infty ;-2 \right)\cup \left( 2;+\infty  \right)\)              

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

C  \(\left( -2;2 \right)\)                

D \(\left( 2;+\infty  \right)\)

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

B  \(y={{x}^{3}}-3{{x}^{2}}+1\)

C  \(y=-{{x}^{3}}+3{{x}^{2}}+1\)                           

D   \(y={{x}^{3}}-3{{x}^{2}}\)

A  \(y=x-1\)                    

B \(y=-2x+2\)                 

C  \(y=-x+1\)      

D  \(y=2x-2\)

A

-1

B -3

C 2

D 0

A  \(\int{f\left( x \right)dx}=\frac{{{x}^{4}}}{4}-\frac{3}{x}+\frac{{{2}^{x}}}{\ln 2}+C\)

B  \(\int{f\left( x \right)dx}=\frac{{{x}^{4}}}{4}+\frac{3}{x}+{{2}^{x}}+C\)

C  \(\int{f\left( x \right)dx}={{x}^{4}}-\frac{3}{x}+{{2}^{x}}+C\)                                   

D  \(\int{f\left( x \right)dx}=\frac{{{x}^{4}}}{4}+\frac{3}{x}+\frac{{{2}^{x}}}{\ln 2}+C\)

A  \({{\left( 2-\sqrt{2} \right)}^{3}}<{{\left( 2-\sqrt{2} \right)}^{4}}\)                                            

B  \({{\left( 4-\sqrt{2} \right)}^{3}}<{{\left( 4-\sqrt{2} \right)}^{4}}\)

C  \({{\left( \sqrt{11}-\sqrt{2} \right)}^{6}}>{{\left( \sqrt{11}-\sqrt{2} \right)}^{7}}\)    

D  \({{\left( \sqrt{3}-\sqrt{2} \right)}^{4}}<{{\left( \sqrt{3}-\sqrt{2} \right)}^{5}}\)

A  \(\dfrac{{{a}^{3}}\sqrt{3}}{4}\)                              

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

C  \(\dfrac{{{a}^{3}}\sqrt{3}}{6}\)                              

D  \(\dfrac{{{a}^{3}}\sqrt{3}}{2}\)

A  6                                            

B  9                                            

C \(\sqrt{3}\)                                          

D  \(\frac{3}{2}\)

A  \(P=x\sqrt{{{x}^{2}}\sqrt{x}}\)                 

B  \(P={{x}^{2}}\sqrt[6]{x}\)                          

C  \(P={{x}^{\frac{13}{6}}}\)                                    

D \(P=\sqrt[6]{{{x}^{13}}}\)

A \({{\log }_{a}}c={{\log }_{a}}b.{{\log }_{b}}C\)

B  \({{\log }_{a}}c=\frac{1}{{{\log }_{c}}a}\)                     

C  \({{\log }_{a}}b.{{\log }_{b}}a=1\)           

D  \({{\log }_{a}}c=\frac{{{\log }_{b}}c}{{{\log }_{b}}a}\)

A  \(y'=\pi {{\left( {{x}^{2}}-5x+7 \right)}^{\pi -1}}\left( 2x-5 \right)\)                                

B \(y'=\pi {{\left( {{x}^{2}}-5x+7 \right)}^{\pi -1}}\)

C  \(y'={{\left( {{x}^{2}}-5x+7 \right)}^{\pi }}\ln \left( {{x}^{2}}-5x+7 \right)\)               

D  \(y'=\pi {{\left( {{x}^{2}}-5x+7 \right)}^{\pi +1}}\left( 2x-5 \right)\)

A \(a\sqrt{3}\)                            

B  \(\frac{2a\sqrt{3}}{3}\)                                

C  \(\frac{a\sqrt{3}}{3}\)                                  

D \(\frac{a\sqrt{3}}{2}\)

A \({{S}_{xq}}=3\pi {{a}^{2}}\)                               

B  \({{S}_{xq}}=2\pi {{a}^{2}}\)                              

C  \({{S}_{xq}}=\pi {{a}^{2}}\)                                

D \({{S}_{xq}}=4\pi {{a}^{2}}\)

A  \(S=2\pi {{R}^{2}}\)                                   

B \(S=4\pi {{R}^{2}}\)                        

C  \(3V=S.R\)                            

D  \(V=\frac{4}{3}\pi {{R}^{3}}\)

A  \(R\backslash \left\{ \frac{3}{2} \right\}\)                           

B  \(\left( \frac{3}{2};+\infty  \right)\)                          

C  \(R\backslash \left\{ 0 \right\}\)                                 

D  R

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

B  \(\left( 0;+\infty  \right)\)                               

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

D  \(\left( -\infty ;0 \right)\)

A  {5 ; 3}                                   

B {3 ; 5}                        

C  {3 ; 4}                                   

D  {4 ; 3}

A \(\pi rl\)                                  

B  \(2\pi rl+\pi {{r}^{2}}\)                                

C  \(\pi rl+\pi {{r}^{2}}\)                                  

D  \(\pi rl+2\pi {{r}^{2}}\)

A  \(y'=x{{.2017}^{x-1}}\)                  

B  \(y'={{2017}^{x}}.\ln 2017\)           

C  \(y'={{2017}^{x-1}}\)                     

D \(y'=\frac{{{2017}^{x}}}{\ln 2017}\)

A Đồ thị có một điểm cực đại và hai điểm cực tiểu.

B  Đồ thị không có điểm cực đại.

C  Đồ thị có một điểm cực tiểu và hai điểm cực đại.

D  Đồ thị có một điểm cực tiểu và không có điểm cực đại.

A  \(\underset{\left[ 0;2 \right]}{\mathop{\max }}\,=3\)                                  

B  \(\underset{\left[ 0;2 \right]}{\mathop{\min }}\,=1\)                                   

C  \(\underset{\left[ 0;2 \right]}{\mathop{\min }}\,=-1\)                                  

D  \(\underset{\left[ 0;2 \right]}{\mathop{\max }}\,=2\)

A  \(\frac{V}{27}\)                                           

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

C  \(\frac{V}{3}\)                                             

D  \(\frac{V}{6}\)

A 3

B 1

C 4

D 2

A  \(\frac{{{a}^{3}}}{18}\)                                         

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

C  \(\frac{{{a}^{3}}}{36}\)                                         

D  \(\frac{{{a}^{3}}}{24}\)

A 2

B 0

C 3

D 1

A  9 năm                        

B  7 năm                        

C  6 năm                        

D  8 năm

A 2

B 1

C 4

D 8

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

B \(\frac{\sqrt{3}{{a}^{3}}}{4}\)                               

C \(\frac{9{{a}^{3}}}{4}\)                              

D  \(\frac{3{{a}^{3}}}{4}\)

A  \(\frac{a\sqrt{10}}{5}\)                                

B  \(\frac{a\sqrt{10}}{2}\)                                

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

D  \(\frac{a\sqrt{2}}{5}\)

A  \({{P}_{\min }}=\sqrt{3}+\sqrt{2}\)                                               

B \({{P}_{\min }}=7+2\sqrt{10}\)                   

C  \({{P}_{\min }}=7+3\sqrt{2}\)                                            

D  \({{P}_{\min }}=7-2\sqrt{10}\)

A  \(\frac{a+b}{ab}\)                             

B \(\frac{ab}{a+b}\)                             

C  \(a+b\)                                  

D  \(\frac{1}{a+b}\)

A 4

B 3

C 1

D 2

A  \(2400{{m}^{2}}\)                           

B  \(4800{{m}^{2}}\)               

C  \(7200{{m}^{2}}\)                           

D  \(14400{{m}^{2}}\)

A  \(-2\le m\le 2\)                                                

B  \(-2<m<2\)

C  \(-2\le m\le 2\)  và \(m\ne -1\)                         

D \(-2<m<2\)  và \(m\ne -1\)

A  M = 0                        

B  M = 2                        

C  M = 18                                  

D  M = 1

A  \(100\sqrt{3}c{{m}^{2}}\)                          

B  \(20\sqrt{3}c{{m}^{2}}\)                            

C  \(40\sqrt{3}c{{m}^{2}}\)                            

D  \(80\sqrt{3}c{{m}^{2}}\)

A   \(0\le m\le \frac{1}{16}\)                                         

B  \(-\frac{1}{2}\le m\le \frac{1}{16}\)

C  \(-\frac{1}{2}<m\le 0\) hoặc \(m=\frac{1}{16}\)                 

D  \(m<\frac{1}{16}\)

A  2                                            

B  \(\frac{10}{12}\)                                          

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

D 1

A  \(\frac{8{{a}^{3}}}{45}\)                           

B  \(\frac{{{12}^{3}}}{45}\)                          

C  \(\frac{16{{a}^{3}}}{45}\)                         

D  \(\frac{4{{a}^{3}}}{45}\)

A  0,577 (cm)                                

B  0,216 (cm)     

C  0,325 (cm)                               

D   0,188 (cm)

A  \(\left( 1;4 \right)\)                             

B  \(\left( -\infty ;1 \right]\cup \left[ 4;+\infty  \right)\)              

C  \(\left( 1;4 \right]\)                             

D  \(\left( 1;+\infty  \right)\)