Trắc nghiệm Phương trình mặt phẳng Toán Lớp 12

A. \(9\over7\sqrt2\)

B. \(9\over7\)

C. \(9\over14\)

D. \(9\over\sqrt2\)

A. \(\sqrt {\frac{19}{86}}\)

B. \(\sqrt {\frac{86}{19}}\)

C. 11

D. \(\sqrt {\frac{19}{2}}\)

A. 1

B. 2

C. 2 hoặc 32

D. 32

A. \(1\over9\)

B. \(1\over3\)

C. \(1\over6\)

D. \(1\over2\)

A. 9

B. 12

C. 10

D. 11

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

B. \(\frac{x}{1} + \frac{y}{2} = \frac{z}{3}\)

C. \(\frac{x}{1} + \frac{y}{2} + \frac{z}{3}=0\)

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

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

B. \(x+2y+3z-14=0\)

C. \(3x+2y+z-10=0\)

D. \({x\over1}+{y\over2 }+{z\over3} -9=0\)

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

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

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

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

A. \(\frac{x}{1} + \frac{y}{2} + \frac{z}{{ - 3}} = 0\)

B. \(\frac{x}{1} + \frac{y}{2}- \frac{z}{{ 3}} = 1\)

C. \(\frac{x}{2} + \frac{y}{1} + \frac{z}{{ - 3}} = 1\)

D. \(\frac{x}{1} + \frac{y}{2} - \frac{z}{{ 3}} = 0\)

A. \(\begin{array}{l} x + 2y + 3z = 1 \end{array}\)

B. \(\frac{x}{1} + \frac{y}{2} + \frac{z}{3} = 1\)

C. \(x + 2y + 3z = - 1\)

D. \(\frac{x}{1} + \frac{y}{2} + \frac{z}{3} = 0\)

A. \(\begin{array}{l} {x^2} + {y^2} + {z^2} = 16 \end{array}\)

B. \({x^2} + {y^2} + {z^2} = 25\)

C. \({x^2} + {y^2} + {z^2} = 9\)

D. \({x^2} + {y^2} + {z^2} = 5\)

A. \(\begin{array}{l} {\left( {x - 1} \right)^2} + {\left( {y - 2} \right)^2} + {\left( {z + 1} \right)^2} = 9 \end{array}\)

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

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

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

A. \(\begin{array}{l} {\left( {x - 2} \right)^2} + {\left( {y + 1} \right)^2} + {\left( {z - 1} \right)^2} = 81 \end{array}\)

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

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

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

A. \(\begin{array}{l} {\left( {x - 2} \right)^2} + {\left( {y + 4} \right)^2} + {\left( {z + 3} \right)^2} = \frac{9}{{14}} \end{array}\)

B. \({\left( {x - 2} \right)^2} + {\left( {y - 4} \right)^2} + {\left( {z - 3} \right)^2} = \frac{2}{7}\)

C. \({\left( {x + 2} \right)^2} + {\left( {y + 4} \right)^2} + {\left( {z + 3} \right)^2} = \frac{2}{7}\)

D. \({\left( {x + 2} \right)^2} + {\left( {y + 4} \right)^2} + {\left( {z + 3} \right)^2} = \frac{9}{{14}}\)

A. \(\begin{array}{l} - x + 2y + 2z + 4 = 0 \end{array}\)

B. \(3x - 4y + 6z + 34 = 0\)

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

D. \(x + 2y + 2z + 8 = 0\)

A. \(\begin{array}{l} x - 2y - 2z + 4 = 0 \end{array}\)

B. \(3x - 6y + 8z - 54 = 0\)

C. \(x - 6y + 8z - 50 = 0\)

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

A. \(\begin{array}{l} - x + 2y + 2z + 4 = 0 \end{array}\)

B. \(x + 2y + 2z + 8 = 0\)

C. \(3x - 4y + 6z + 34 = 0\)

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

A. \(\begin{array}{l} (Q):2x + y + 4z - 8 = 0 \end{array}\)

B. \((R):2x - y - 2z + 4 = 0\)

C. \((P):2x - 2y - z - 5 = 0\)

D. \((T):2x - y + 2z - 4 = 0\)

A. \(\begin{array}{l} 2x + 2y + z - 17 = 0 \end{array}\)

B. \(4x + 4y - 2z - 17 = 0\)

C. \(x + y + z - 17 = 0\)

D. \(2x + 4y - z - 17 = 0\)

A. \(\begin{array}{l} 6x + 3y + 2z + 13 = 0 \end{array}\)

B. \(2x - 5y - 10z + 53 = 0\)

C. \(9y + 16z - 73 = 0\)

D. \(8x + 7y + 8z - 7 = 0\)

A. \(\begin{array}{l} 2x + y - 2z - 15 = 0 \end{array}\)

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

C. \(2x + y - 2z + 15 = 0\)

D. \(2x + y - 2z - 16 = 0\)

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

B. \({\left( {x - 2} \right)^2} + {\left( {y - 1} \right)^2} + {\left( {z + 3} \right)^2} = 10\)

C. \({\left( {x - 2} \right)^2} + {\left( {y - 1} \right)^2} + {\left( {z + 3} \right)^2} = 4\)

D. \({\left( {x - 2} \right)^2} + {\left( {y - 1} \right)^2} + {\left( {z + 3} \right)^2} = 13\)

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

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

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

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

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

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

C. \({x^2} + {\left( {y +3} \right)^2} + {z^2} = \sqrt3\)

D. \({x^2} + {\left( {y - 3} \right)^2} + {z^2} = \sqrt3\)

A. \({\left( {x - 1} \right)^2} + {\left( {y - 1} \right)^2} + {z^2} = \frac{{25}}{6}\)

B. \({\left( {x - 1} \right)^2} + {\left( {y - 1} \right)^2} + {z^2} = \frac{{5}}{\sqrt6}\)

C. \({\left( {x + 1} \right)^2} + {\left( {y + 1} \right)^2} + {z^2} = \frac{{25}}{6}\)

D. \({\left( {x - 1} \right)^2} + {\left( {y - 1} \right)^2} + {z^2} = \frac{{5}}{6}\)

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

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

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

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

A. \((S):{x^2} + {y^2} + {z^2} - 4x + 2y + 2z + 5 = 0\)

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

C. \((S):{x^2} + {y^2} + {z^2} + 4x - 2y - 2z + 5 = 0\)

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

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

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

C. \({\left( {x + 3} \right)^2} + {\left( {y - 1} \right)^2} + {\left( {z + 2} \right)^2} = 4\)

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

A. \(\begin{array}{l} {\left( {x + 3} \right)^2} + {\left( {y + 4} \right)^2} + {\left( {z - 5} \right)^2} = \frac{{361}}{{49}} \end{array}\)

B. \({\left( {x - 3} \right)^2} + {\left( {y - 4} \right)^2} + {\left( {z + 5} \right)^2} = \frac{{361}}{{49}}\)

C. \({\left( {x - 3} \right)^2} + {\left( {y - 4} \right)^2} + {\left( {z + 5} \right)^2} = 49\)

D. \({\left( {x + 3} \right)^2} + {\left( {y + 4} \right)^2} + {\left( {z - 5} \right)^2} = 49\)

A. \(\begin{array}{l} {\left( {x + 1} \right)^2} + {\left( {y + 2} \right)^2} + {\left( {z - 1} \right)^2} = 3 \end{array}\)

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

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

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

A. \((x-1)^2+(y-2)^2+(z-3)^2=4\)

B. \((x-1)^2+(y-2)^2+(z-3)^2=1\)

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

D. \((x-1)^2+(y-2)^2+(z-3)^2=25\)

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

B. \(x^2+y^2+z^2=16\)

C. \(x^2+y^2+z^2=6\)

D. \(x^2+y^2+z^2=4\)

A. P=3

B. P=9

C. P=6

D. P=0

A. \({\left( {x + 3} \right)^2} + {\left( {y - 2} \right)^2} + {\left( {z + 4} \right)^2} = 9\)  

B. \({\left( {x + 3} \right)^2} + {\left( {y - 2} \right)^2} + {\left( {z + 4} \right)^2} = 4\)

C. \({\left( {x - 3} \right)^2} + {\left( {y + 2} \right)^2} + {\left( {z -4} \right)^2} = 16\)

D. \({\left( {x - 3} \right)^2} + {\left( {y + 2} \right)^2} + {\left( {z - 4} \right)^2} = 2\)

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

B. \({\left( {x - 1} \right)^2} + {\left( {y - 2} \right)^2} + {\left( {z - 4} \right)^2} = 3\)

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

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

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

B. \({\left( {x + 1} \right)^2} + {\left( {y - 3} \right)^2} + {\left( {z - 2} \right)^2} = 49\)

C. \({\left( {x + 1} \right)^2} + {\left( {y - 3} \right)^2} + {\left( {z -2 } \right)^2} = 7\)

D. \({\left( {x + 1} \right)^2} + {\left( {y - 3} \right)^2} + {\left( {z -2 } \right)^2} = {1\over49}\)

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

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

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

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

A. \(1\over3\)

B. \(4\over3\)

C. 2

D. 3

A. \(3\sqrt{13}\)

B. 13

C. 39

D. 3

A. \(3{x^2} + 3{y^2} + 3{z^2} - 6x + 12y - 24z + 16 = 0\)

B. \({x^2} + {y^2} + {z^2} - 2x -2y - 2z -8 = 0\)

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

D. \(2{x^2} + 2{y^2} + 2{z^2} -4x + 2y +2z + 16 = 0\)

A. \(\left( S \right):{\left( {x + 1} \right)^2} + {\left( {y - 2} \right)^2} + {\left( {z - 3} \right)^2} = 4\)

B. \(\left( S \right):{\left( {x - 1} \right)^2} + {\left( {y - 2} \right)^2} + {\left( {z +3} \right)^2} = 16\)

C. \(\left( S \right):{\left( {x - 1} \right)^2} + {\left( {y - 2} \right)^2} + {\left( {z + 3} \right)^2} = 4\)

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

A. \((x+1)^2+(y-2)^2+(z-1)^2=9\)

B. \((x+1)^2+(y-2)^2+(z+1)^2=9\)

C. \((x+1)^2+(y-2)^2+(z-1)^2=3\)

D. \((x+1)^2+(y-2)^2+(z+1)^2=3\)

A. z -1 = 0

B. y -1 = 0

C. x + y + z - 3 = 0

D. x -1 = 0

A. (Q) : 2 y + 3z -11 = 0

B. (Q) : 2x + 3z -11 = 0

C. (Q) : 2 y + 3z -12 = 0

D. (Q) : 2 y + 3z -10 = 0

A. x + y + z – 3 = 0

B. x – y – z – 12 = 0

C. x – 3y + 3z – 15 = 0

D. 3x + 3y – z = 0.

A. x + y + z - 3 = 0

B. x + z - 2 = 0

C. x - 2 y + z = 0

D. y + z - 2 = 0

A. 2x + y - 3z -14 = 0 .

B. 4x + 5 y - 3z - 22 = 0 .

C. 4x + 5 y - 3z + 22 = 0 .

D.  4x - 5 y - 3z -12 = 0

A. -3

B. 1

C. 6

D. -5

A. 3x - 2z -1 = 0 .

B. 3x + y - 2z - 2 = 0 .

C. 3x - 2z = 0 .

D. 3x - y + 2z - 4 = 0 .

A. x - 4 y - 3z - 6 = 0 .   

B. 5x + 2 y - z + 4 = 0 .

C. 5x + 2 y - z + 14 = 0 .

D. x - 4 y - 3z + 6 = 0