Đề kiểm tra 1 tiết Chương 3 Hình học 12 Trường THP...

A. \((S):\,\,{(x + 1)^2} + {(y + 3)^2} + {(z + 2)^2} = 5.\)

B. \((S):\,\,{(x - 1)^2} + {(y - 3)^2} + {(z - 2)^2} = 25.\)

C. \((S):\,\,{(x - 1)^2} + {(y - 3)^2} + {(z - 2)^2} = 5.\)

D. \((S):\,\,{(x + 1)^2} + {(y + 3)^2} + {(z + 2)^2} = 25.\)

A. (P) trùng (Q)

B. (P) cắt (Q)

C. \(O(0;0;0) \in (P) \cap (Q).\)

D. (P) song song (Q)

A. \(x + 3y - 5z + 8 = 0\)

B. \(x + 3y + 5z + 8 = 0\)

C. \(x - 3y - 5z - 8 = 0\)

D. \(x - 3y + 5z - 8 = 0\)

A. \(M(1; - 2;4).\)

B. \(N( - 4;0;0).\)

C. \(E(1;1;1).\)

D. \(F(0;2;0).\)

A. \((P):4x - 3y - z + 12 = 0.\)

B. \((P):x - y - z - 1 = 0.\)

C. \((P):4x - 3y - z - 12 = 0.\)

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

A. 7

B. - 6

C. - 9

D. 5

A. \(I\left( {4;1;2} \right).\)

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

C. \(I\left( { - 1; - 1;4} \right).\)

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

A. \((S):\,\,{x^2} + {(y - 2)^2} + {(z - 1)^2} = 13.\)

B. \((S):\,\,{x^2} + {(y + 2)^2} + {(z + 1)^2} = 6.\)

C. \((S):\,\,{x^2} + {(y - 2)^2} + {(z - 1)^2} = 81.\)

D. \((S):\,\,{x^2} + {(y - 2)^2} + {(z - 1)^2} = 9.\)

A. \(x - y - 2 = 0\)

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

C. \(x + y + 2 = 0\)

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

A. \(\left\{ \begin{array}{l}y =  - 6\\z = 8\end{array} \right.\)

B. \(\left\{ \begin{array}{l}y =   6\\z = 8\end{array} \right.\)

C. \(\left\{ \begin{array}{l}y =   6\\z = -8\end{array} \right.\)

D. \(\left\{ \begin{array}{l}y =  - 6\\z = -8\end{array} \right.\)

A. \((4;2;4).\)

B. \((2;5;4).\)

C. \((4;6;4).\)

D. \((2;6;4).\)

A. \((0;6;0).\)

B. \((0;9;0).\)

C. \((0;8;0).\)

D. \((0;10;0).\)

A. \(r = 2.\)

B. \(r = \sqrt 3 .\)

C. \(r = \sqrt 5 .\)

D. \(r = 3.\)

A. \(x + 5y - 7z = 0\)

B. \(x + 5y + 7z - 1 = 0\)

C. \(x - 5y + 7z + 1 = 0\)

D. \(x - 5y - 7z = 0\)

A. \(y + z - 4 = 0\)

B. \(4x + 3z + 4 = 0\)

C. \(3x - 3z - 4 = 0\\)

D. \(y - z - 1 = 0\)

A. \(I( - 4; - 1;4),\,\,R = 4\)

B. \(I( - 4; - 1;4),\,\,R = 16.\)

C. \(I(4;1; - 4),\,\,R = 8.\)

D. \(I(4;1; - 4),\,\,R = 4.\)

A. \((P):\,\,x + 2y - 4z - 3 = 0.\)

B. \((P):\,\, - x + 2y - 4z + 3 = 0.\)

C. \((P):\,\,x + 2y - 4z - 13 = 0.\)

D. \((P):\,\, - x + 2y - 4z + 13 = 0.\)

A. \(d = \frac{{\sqrt 3 }}{6}.\)

B. \(d = \frac{{\sqrt 3 }}{3}.\)

C. \(d = \frac{{\sqrt 6 }}{2}.\)

D. \(d = \frac{{2\sqrt 6 }}{3}.\)

A. \((S):\,{\left( {x + \frac{1}{2}} \right)^2} + {\left( {y - 2} \right)^2} + {\left( {z - 2} \right)^2} = \frac{5}{4}.\)

B. \((S):\,{\left( {x - \frac{1}{2}} \right)^2} + {\left( {y + 2} \right)^2} + {\left( {z + 2} \right)^2} = \frac{5}{4}.\)

C. \((S):\,\,{\left( {x + \frac{1}{2}} \right)^2} + {\left( {y - 2} \right)^2} + {\left( {z - 2} \right)^2} = 5.\)

D. \((S):\,\,{\left( {x - \frac{1}{2}} \right)^2} + {\left( {y + 2} \right)^2} + {\left( {z + 2} \right)^2} = 5.\)

A. \(3x - 4y + 2z - 33 = 0\)

B. \(3x - 4y + 2z + 33 = 0\)

C. \(3x - 4y + 2z - 43 = 0\\)

D. \(3x - 4y + 2z + 43 = 0\)

A. \(r=3\)

B. \(r = \frac{{3\sqrt 2 }}{2}.\)

C. \(r = \sqrt 2 .\)

D. \(r = 2\sqrt 2 .\)

A. \(\overrightarrow n  = (4; - 6;5).\)

B. \(\overrightarrow n  = ( - 3;5;2).\)

C. \(\overrightarrow n  = (3; - 5;2).\)

D. \(\overrightarrow n  = (2; - 3; - 7).\)

A. \(B( - 3;2;7).\)

B. \(B( - 3; - 2; - 7).\)

C. \(B(3; - 2; - 7).\)

D. \(B(3;2;7).\)

A. \(M\left( {0;\frac{9}{4};0} \right).\)

B. \(M\left( {0;\frac{9}{2};0} \right).\)

C. \(M\left( {0; - \frac{9}{2};0} \right).\)

D. \(M\left( {0; - \frac{9}{4};0} \right).\)

A. \(M(2; - 2;0).\)

B. \(M(1;1;0).\)

C. \(M( - 1;1;0).\)

D. \(M( - 2;2;0).\)