Đề thi thử THPT QG môn Toán năm 2018 - Thầy Chí -...

A \(y'={{3}^{x+1}}\ln 3.\)       

B  \(y'=\frac{{{3}^{x+1}}}{\ln 3}.\)               

C  \(y'=\left( x+1 \right){{3}^{x}}\).    

D  \(y'=\frac{1}{{{3}^{x+1}}\ln 3}\).

A  \(I\left( 3;-\,1;-\,2 \right),\,\,R=4.\)                             

B \(I\left( 3;-\,1;-\,2 \right),\,\,R=2\sqrt{2}.\)     

C  \(I\left( -\,3;1;2 \right),\,\,R=2\sqrt{2}.\)                              

D  \(I\left( -\,3;1;2 \right),\,\,R=4.\)

A  \(A_{10}^{3}.\)                                

B \(A_{10}^{7}.\)                                 

C  \({{P}_{3}}.\)                         

D  \(C_{10}^{3}.\)

A  \(\log \frac{3}{2}.\)              

B  \(\frac{5}{2}.\)                                 

C  \(\ln \frac{3}{2}.\)                 

D  \(\ln 6.\)

A  0.                               

B  2.                               

C  \(-\,2.\)                        

D  1.

A              Hàm số nghịch biến trên khoảng \(\left( -\,\infty ;\,-2 \right)\cup \left( -\,2;\,+\infty  \right).\)

B Hàm số nghịch biến trên mỗi khoảng \(\left( -\,\infty ;\,-2 \right)\) và\(\left( -\,2;\,+\infty  \right).\)

C             Hàm số nghịch biến trên \(\mathbb{R}.\)

D              Hàm số nghịch biến trên \(\mathbb{R}\backslash \left\{ 2 \right\}.\)

A  \(\left( -\infty ;\,-2 \right)\).                

B  \(\left( 2;+\infty  \right)\).                  

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

D  \(\left( -2;+\infty  \right)\).

A \({{\log }_{a}}\left( \frac{b}{{{a}^{3}}} \right)={{\log }_{a}}b-3.\)                              

B \({{\log }_{{{a}^{\alpha }}}}b=\alpha {{\log }_{a}}b.\)  

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

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

A  \({{e}^{x}}+{{e}^{-x}}+C.\)  

B \({{e}^{x}}-{{e}^{-x}}+C.\)    

C  \({{e}^{-x}}-{{e}^{x}}+C.\)   

D  \(2{{e}^{-x}}+C.\)

A 9

B 8

C 7

D 10

A 6

B 3

C 5

D 4

A  \({y}'>0,\,\,\forall x\ne 1.\)

B  \({y}'>0,\,\,\forall x\ne 2.\)    

C  \({y}'<0,\,\,\forall x\ne 1.\)    

D  \({y}'<0,\,\,\forall x\ne 2.\)

A  \(S=8.\)                      

B  \(S=12.\)                    

C  \(S=10.\)                    

D  \(S=9.\)

A  \(\sin \left( x-\frac{\pi }{6} \right)=\frac{1}{2}.\)    

B  \(\sin \left( \frac{\pi }{6}-x \right)=\frac{1}{2}.\)    

C  \(\sin \left( x-\frac{\pi }{6} \right)=1.\)         

D  \(\text{cos}\left( x+\frac{\pi }{3} \right)=\frac{1}{2}.\)

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

B  \(\frac{1}{\sqrt{3}}\)                         

C  \(\frac{1}{3}\)                        

D  \(\frac{1}{\sqrt{2}}\)

A  \({{S}_{xq}}=2\pi .\)                       

B  \({{S}_{xq}}=3\pi \sqrt{2}.\)          

C  \({{S}_{xq}}=6\pi .\)              

D  \({{S}_{xq}}=6\pi \sqrt{2}.\)

A 3

B 2

C 1

D 0

A  \(4.\)                           

B \(-\,2.\)                        

C  \(2.\)                           

D  \(-\,4.\)

A  \({{\vec{n}}_{4}}=\left( 2;\,2;\,-1 \right).\)    

B  \({{\vec{n}}_{3}}=\left( -\,2;\,2;\,1 \right).\)  

C  \({{\vec{n}}_{1}}=\left( 2;\,-2;\,-1 \right).\)  

D  \({{\vec{n}}_{2}}=\left( 1;\,1;\,-2 \right).\)

A  \(12\pi .\)       

B  \(24\pi .\)                   

C  \(20\pi .\)                   

D  \(10\pi .\)

A  \({{3}^{11}}C_{20}^{11}.\)                      

B  \({{3}^{12}}C_{20}^{12}.\)                      

C  \({{3}^{10}}C_{20}^{10}.\)              

D  \({{3}^{9}}C_{20}^{9}.\)

A  \(x+y-z+2=0.\)           

B  \(2x-3y-z+7=0.\)        

C  \(x+y+2z-4=0.\)         

D  \(2x-3y-z-7=0.\)

A  \(2\pi {{a}^{3}}\)                   

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

C  \(4\pi {{a}^{3}}\)                   

D  \(\pi {{a}^{3}}\)

A 2

B 3

C 1

D 0

A  \(\frac{14}{95}.\)                             

B  \(\frac{48}{95}.\)                             

C  \(\frac{33}{95}.\)                               

D  \(\frac{47}{95}.\)       

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

B  \(a=-\,1.\)                   

C  \(a=1.\)                      

D  \(a=2.\)

A  \(d:\left\{ \begin{align}  x=t \\  y=-\,1+2t \\  z=6+t \\ \end{align} \right..\)  

B \(d:\left\{ \begin{align}  x=t \\  y=1-2t \\  z=6-5t \\ \end{align} \right..\)      

C \(d:\left\{ \begin{align}  x=3t \\  y=-\,1+t \\  z=6+t \\ \end{align} \right..\)   

D  \(d:\left\{ \begin{align}  x=t \\  y=-\,1+2t \\  z=6-5t \\ \end{align} \right..\)

A  \(S=5.\)                      

B  \(S=-1.\)                     

C  \(S=-5.\)                     

D  \(S=1.\)

A  \(S=-\,1.\)                   

B  \(S=1.\)                      

C  \(S=0.\)                      

D  \(S=-\,3.\)

A  \(\frac{32\pi }{5}.\)  

B  \(\frac{16\pi }{15}.\)

C  \(\frac{22\pi }{5}.\)   

D  \(\frac{2\pi }{3}.\)

A  \(\frac{2\sqrt{7}a}{7}.\)                    

B  \(\frac{\sqrt{7}a}{7}.\)                      

C  \(\sqrt{7}a.\)              

D  \(\frac{\sqrt{6}a}{5}.\)

A  \({{2}^{20}}-20.\)                  

B  \({{2}^{21}}-22.\)                  

C  \({{2}^{20}}.\)                       

D  \({{2}^{21}}-20.\)

A \(\frac{1}{2}\ln 2-1.\)            

B  \(\ln 2+1.\)                 

C  \(\frac{1}{2}\ln 2+1.\)                       

D  \(\ln 2-1.\)

A  \(\frac{1}{4500}\)                

B  \(\frac{1}{2500}\)                

C  0                                

D  \(\frac{1}{3000}\) .

A 3

B 7

C 5

D 6

A \(2876.\)                      

B  \(2898.\)                     

C  \(2915.\)                     

D  \(2012.\)

A  \(\frac{\sqrt{42}}{7}.\)                    

B  \(\frac{3\sqrt{42}}{14}.\)                

C \(\frac{3\sqrt{42}}{7}.\)                     

D \(\frac{\sqrt{42}}{14}.\)

A 5

B 3

C 1

D 2

A 3

B 5

C 6

D 4