Đề thi onlnie - Phương trình mặt cầu - Có lời giải...

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

B  \(I\left( 1;-2;-1 \right),R=3\)

C  \(I\left( -1;2;1 \right);R=9\)                                                   

D  \(I\left( 1;-2;-1 \right),R=9\)

A  \(\left( {{S}_{1}} \right):{{x}^{2}}+{{y}^{2}}+{{z}^{2}}+2z-4y-2=0\)                      

B \(\left( {{S}_{2}} \right):{{x}^{2}}+{{y}^{2}}+{{z}^{2}}+6z-2=0\)

C  \(\left( {{S}_{3}} \right):{{x}^{2}}+{{y}^{2}}+{{z}^{2}}+2x+6z=0\)                                    

D  \(\left( {{S}_{4}} \right):{{x}^{2}}+{{y}^{2}}+{{z}^{2}}+2x-4y+6z-2=0\)

A  \(\left( {{S}_{1}} \right):{{x}^{2}}+{{y}^{2}}+{{z}^{2}}+2x-4y-2=0\)                      

B \(\left( {{S}_{2}} \right):{{x}^{2}}+{{y}^{2}}+{{z}^{2}}+6z-2=0\)

C  \(\left( {{S}_{3}} \right):{{x}^{2}}+{{y}^{2}}+{{z}^{2}}+2x+6z=0\)                                    

D  \(\left( {{S}_{4}} \right):{{x}^{2}}+{{y}^{2}}+{{z}^{2}}+2x-4y+6z-2=0\)

A  \({{x}^{2}}+{{y}^{2}}+{{z}^{2}}-10xy-8y+2z-1=0\)               

B  \(3{{x}^{2}}+3{{y}^{2}}+3{{z}^{2}}-2x-6y+4z-1=0\)

C  \(2{{x}^{2}}+2{{y}^{2}}+2{{z}^{2}}-2x-6y+4z+9=0\)            

D \({{x}^{2}}+{{\left( y-z \right)}^{2}}-2x-4\left( y-z \right)-9=0\)

A  \(\left[ \begin{array}{l}a =  - 2\\a = 8\end{array} \right.\)                           

B  \(\left[ \begin{array}{l}a = 2\\a =  - 8\end{array} \right.\)                           

C  \(\left[ \begin{array}{l}a =  - 2\\a = 4\end{array} \right.\)                           

D  \(\left[ \begin{array}{l}a = 2\\a =  - 4\end{array} \right.\)

A  \({{x}^{2}}+{{\left( y-3 \right)}^{2}}+{{\left( z-1 \right)}^{2}}=9\)                                          

B  \({{x}^{2}}+{{\left( y+3 \right)}^{2}}+{{\left( z-1 \right)}^{2}}=9\)

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

D  \({{x}^{2}}+{{\left( y-3 \right)}^{2}}+{{\left( z+1 \right)}^{2}}=9\)

A  R = 6                         

B  R = 5                         

C  R = 4                         

D  R = 3.

A \({{x}^{2}}+{{\left( y-3 \right)}^{2}}+{{\left( z-1 \right)}^{2}}=9\)                               

B \({{x}^{2}}+{{\left( y+3 \right)}^{2}}+{{\left( z-1 \right)}^{2}}=9\)

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

D  \({{x}^{2}}+{{\left( y-3 \right)}^{2}}+{{\left( z+1 \right)}^{2}}=9\)

A \({{\left( x+2 \right)}^{2}}+{{\left( y+1 \right)}^{2}}+{{\left( z-1 \right)}^{2}}=4\)                              

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

C \({{\left( x-2 \right)}^{2}}+{{\left( y-1 \right)}^{2}}+{{\left( z+1 \right)}^{2}}=4\)                               

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

A  \({{x}^{2}}+{{\left( y-6 \right)}^{2}}+{{\left( z-4 \right)}^{2}}=9\)                              

B  \({{x}^{2}}+{{\left( y-3 \right)}^{2}}+{{z}^{2}}=16\)

C  \({{x}^{2}}+{{\left( y-7 \right)}^{2}}+{{\left( z-5 \right)}^{2}}=26\)                

D \({{\left( x-1 \right)}^{2}}+{{y}^{2}}+{{\left( z-3 \right)}^{2}}=14\)

A  {1; -11}                                 

B  {1; 10}                                  

C {-1; 11}                                  

D  {-10; 2}

A  \({{\left( x+1 \right)}^{2}}+{{\left( y-4 \right)}^{2}}+{{\left( z-2 \right)}^{2}}=81\)                            

B  \({{\left( x+1 \right)}^{2}}+{{\left( y-4 \right)}^{2}}+{{\left( z-2 \right)}^{2}}=9\)

C  \({{\left( x-1 \right)}^{2}}+{{\left( y+4 \right)}^{2}}+{{\left( z-2 \right)}^{2}}=9\)                              

D  \({{\left( x-1 \right)}^{2}}+{{\left( y-4 \right)}^{2}}+{{\left( z+2 \right)}^{2}}=81\)

A \(\left( -1;-1;0 \right)\)                         

B  \(\left( 3;1;1 \right)\)                          

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

D  \(\left( 1;2;1 \right)\)

A  7                                            

B  \(\frac{\sqrt{377}}{7}\)                               

C  \(\sqrt{377}\)                        

D  \(\frac{\sqrt{377}}{4}\)

A  \({{x}^{2}}+{{\left( y-6 \right)}^{2}}+{{\left( z-4 \right)}^{2}}=9\)                              

B \({{x}^{2}}+{{\left( y-3 \right)}^{2}}+{{z}^{2}}=16\)

C  \({{x}^{2}}+{{\left( y-7 \right)}^{2}}+{{\left( z-5 \right)}^{2}}=26\)                

D  \({{\left( x-1 \right)}^{2}}+{{y}^{2}}+{{\left( z-3 \right)}^{2}}=14\)

A \({{\left( x+2 \right)}^{2}}+{{y}^{2}}+{{z}^{2}}=4\)                 

B \({{x}^{2}}+{{\left( y-2 \right)}^{2}}+{{z}^{2}}=4\)

C \({{\left( x-2 \right)}^{2}}+{{y}^{2}}+{{z}^{2}}=4\)                                         

D  \({{x}^{2}}+{{y}^{2}}+{{\left( z-2 \right)}^{2}}=4\)

A  R = 2                         

B \(R=\sqrt{2}\)                        

C  \(R=3\)                                   

D  \(R=\sqrt{3}\)

A \(B\left( 0;0;-\frac{19}{3} \right)\)                

B  \(B\left( 0;0;\frac{19}{3} \right)\)                

C \(B\left( 0;0;-\frac{3}{19} \right)\)               

D  \(B\left( 0;0;\frac{3}{19} \right)\)

A  \(\left[ \begin{array}{l}B\left( {0; - 4;4} \right)\\B\left( {4;0;4} \right)\end{array} \right.\)                       

B \(\left[ \begin{array}{l}B\left( {0;4; - 4} \right)\\B\left( {4;0;4} \right)\end{array} \right.\)                        

C \(\left[ \begin{array}{l}B\left( {0; - 4; - 4} \right)\\B\left( {4;0;4} \right)\end{array} \right.\)                     

D  \(\left[ \begin{array}{l}B\left( {0;4;4} \right)\\B\left( {4;0;4} \right)\end{array} \right.\)