Hỏi đáp về Ôn tập chương III - Hình học 12

A. \(x - 2y + 1 = 0\).    

B. \(y - 2 = 0\). 

C. \(y + 1 = 0\).            

D. \(y + 2 = 0\).

A.\(7x - 2y - 4z = 0\). 

B.\(7x - 2y - 4z + 3 = 0\).

C. \(2x + y + 3z + 3 = 0\).      

D.\(14x - 4y - 8z + 3 = 0\).

A.\(2x - 4y + 4z - 5 = 0\) hoặc \(2x - 4y + 4z - 13 = 0\).

B. \(x - 2y + 2z - 25 = 0\).

C.\(x - 2y + 2z - 7 = 0\).

D.\(x - 2y + 2z - 25 = 0\) hoặc \(x - 2y + 2z - 7 = 0\).

A.\(3x + 6y + 2z + 18 = 0\).

B.\(6x + 3y + 2z - 18 = 0\).

C.\(2x + y + 3z - 9 = 0\).

D.\(6x + 3y + 2z + 9 = 0\).

A.\(M\left( {0; - 3;0} \right)\).            

B.\(M\left( {0;3;0} \right)\).   

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

D. \(M\left( {0;1;0} \right)\).

A. \(\sqrt 7 \pi .\)        

B. \(2\sqrt 7 \pi .\)       

C. \(7\pi .\)                  

D. \(14\pi .\)

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

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

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

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

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

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

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

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

A. \({\left( {x - 2} \right)^2} + {\left( {y - 4} \right)^2} + {\left( {z - 6} \right)^2} = 20.\)

B. \({\left( {x - 2} \right)^2} + {\left( {y - 4} \right)^2} + {\left( {z - 6} \right)^2} = 40.\)

C. \({\left( {x - 2} \right)^2} + {\left( {y - 4} \right)^2} + {\left( {z - 6} \right)^2} = 52.\)

D. \({\left( {x - 2} \right)^2} + {\left( {y - 4} \right)^2} + {\left( {z - 6} \right)^2} = 56.\)

A. \({\left( {x - 2} \right)^2} + {\left( {y - 4} \right)^2} + {\left( {z - 6} \right)^2} = 20.\)

B. \({\left( {x - 2} \right)^2} + {\left( {y - 4} \right)^2} + {\left( {z - 6} \right)^2} = 40.\)

C. \({\left( {x - 2} \right)^2} + {\left( {y - 4} \right)^2} + {\left( {z - 6} \right)^2} = 52.\)

D. \({\left( {x - 2} \right)^2} + {\left( {y - 4} \right)^2} + {\left( {z - 6} \right)^2} = 56.\)

A. \(\overrightarrow {SI}  = \dfrac{1}{2}\left( {\overrightarrow {SA}  + \overrightarrow {SB}  + \overrightarrow {SC} } \right).\)          

B. \(\overrightarrow {SI}  = \dfrac{1}{3}\left( {\overrightarrow {SA}  + \overrightarrow {SB}  + \overrightarrow {SC} } \right).\)          

C. \(\overrightarrow {SI}  = \overrightarrow {SA}  + \overrightarrow {SB}  + \overrightarrow {SC} .\)            

D. \(\overrightarrow {SI}  + \overrightarrow {SA}  + \overrightarrow {SB}  + \overrightarrow {SC}  = \overrightarrow 0 .\)

A. \(\dfrac{2}{{\sqrt {13} }}.\)     

B. \(\dfrac{1}{{\sqrt {13} }}.\)

C. \(\dfrac{{\sqrt {13} }}{2}.\)     

D. \(\dfrac{{3\sqrt {13} }}{{13}}.\)

A. \(\cos \left( {\overrightarrow b ,\overrightarrow c } \right) = \dfrac{{\sqrt 6 }}{3}.\)    

B. \(\overrightarrow a  + \overrightarrow b  + \overrightarrow c  = \overrightarrow 0 .\)                      

A. \(\overrightarrow a ,\overrightarrow b ,\overrightarrow c \) đồng phẳng.        

D. \(\overrightarrow a .\overrightarrow b  = 1.\)

A. \(I(\dfrac{8}{3};\dfrac{5}{3};\dfrac{8}{3})\).       

B. \(I(\dfrac{5}{3};\dfrac{8}{3};\dfrac{8}{3})\).

C. \(I( - \dfrac{5}{3};\dfrac{8}{3};\dfrac{8}{3}).\)   

D. \(I(\dfrac{8}{3};\dfrac{8}{3};\dfrac{5}{3})\).

A. \(D(0;1;3)\).           

B. \(D(0;3;1)\).           

C. \(D(0; - 3;1)\).        

D. \(D(0;3; - 1)\).

A. \(43.\).         

B. \(44.\).        

C. \(42.\).        

D. \(45.\)

A. \(\left( {3;\dfrac{8}{3}; - \dfrac{8}{3}} \right).\)   

B. \(\left( {3;\dfrac{8}{3};\dfrac{8}{3}} \right).\)      

C. \(\left( {3;3; - \dfrac{8}{3}} \right).\)     

D. \(\left( {1;2;\dfrac{1}{3}} \right).\)

A. \(\left( {1;0;0} \right).\)      

B. \(\left( {0;0;1} \right).\)      

C. \(\left( {0;1;0} \right).\)      

D. \(\left( {0;0;0} \right).\)

A.\(\left( S \right)\).      

B.\(\left( S \right)\).

C.\({R^2} = M{H^2} + {\left( {\frac{{AB}}{2}} \right)^2} = 18\) .

D.\(d(M,d) = 3\).

A.\(\left( S \right)\).           

B.\(M(4;1;6)\).

C.\(AB = 6\) .  

D.\(\left( S \right)\) .

A. \(I\left( {1; - 2;0} \right).\)             

B. \(I\left( { - 1;2;0} \right).\) 

C. \(I\left( {1;2;0} \right).\)                

D. \(I\left( { - 1; - 2;0} \right).\)

A. 4.   

B. 3.    

C. 2.    

D. 1.

A. \({\left( {x - 1} \right)^2} + {\left( {2y - 1} \right)^2} + {\left( {z - 1} \right)^2} = 6.\)

B. \({\left( {x - 1} \right)^2} + {\left( {y - 1} \right)^2} + {\left( {z - 1} \right)^2} = 6.\)

C. \({\left( {2x - 1} \right)^2} + {\left( {2y - 1} \right)^2} + {\left( {2z + 1} \right)^2} = 6.\)

D. \({\left( {x + y} \right)^2} = 2xy - {z^2} + 3 - 6x.\)

A. \({x^2} + {y^2} + {z^2} - 2x = 0.\)

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

C. \({x^2} + {y^2} + {z^2} + 2x - 2y + 1 = 0.\)

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