82 câu trắc nghiệm Toán 12 Cánh diều Bài 1: Phương trình mặt phẳng có đáp án - Đề 1

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

B. \(x + {z^2} - 3 = 0\).

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

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

A. \({\vec n_1} = ( - 1;2;3)\).

B. \({\vec n_2} = (1;2;3)\).

C. \({\vec n_3} = ( - 1;2;0)\).

D. \({\vec n_4} = ( - x;2y;3)\).

A. \({\vec n_1} = (3;6;12)\).

B. \({\vec n_2} = (3x;6y;12z)\).

C. \({\vec n_3} = (3x; - 6y;12z)\).

D. \({\vec n_4} = ( - 1;2; - 4)\).

A. \({\vec n_1} = (3;4;1)\).

B. \({\vec n_2} = (3;4; - 1)\).

C. \({\vec n_3} = (3;4;5)\).

A. \(x - {x_0} = 0\).

B. \(y - {y_0} = 0\).

C. \(z - {z_0} = 0\).

D. \(x + y + z - {x_0} - {y_0} - {z_0} = 0\).

A. \(\left| {{x_0}} \right|\).

B. \(\left| {{y_0}} \right|\).

C. \(\left| {{z_0}} \right|\).

D. \(\left| {{x_0} + {y_0} + {z_0}} \right|\).

A. \(\frac{{\left| {a{x_0} + b{y_0} + c} \right|}}{{\sqrt {{a^2} + {b^2}} }}\).

B. \(\frac{{\left| {a{x_0} + b{y_0} + c{z_0}} \right|}}{{\sqrt {{a^2} + {b^2} + {c^2}} }}\).

C. \(\frac{{\left| {a{y_0} + b{z_0} + c} \right|}}{{\sqrt {{a^2} + {b^2} + {c^2}} }}\).

D. \(\frac{{\left| {a{y_0} + b{z_0} + c} \right|}}{{\sqrt {{a^2} + {b^2}} }}\).

A. \(\left( {2;3; - 1} \right)\).

B. \(\left( {3;5; - 2} \right)\).

C. \(\left( {2; - 3; - 1} \right)\).

D. \(\left( {3; - 5; - 1} \right)\).

A. \[\overrightarrow c = \left( {2;6; - 1} \right)\].

B. \[\overrightarrow c = \left( {4;6; - 1} \right)\].

C. \[\overrightarrow c = \left( {4; - 6; - 1} \right)\].

D. \[\overrightarrow c = \left( {2; - 6; - 1} \right)\].

A. \(\vec n = (8;4; - 3)\).

B. \(\vec n = ( - 18;0; - 3)\).

C. \(\vec n = ( - 18;4; - 3)\).

D. \(\vec n = (1;4; - 3)\).

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

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

C. \(2x - 3y + 4z - 2024 = 0\).

D. \(2x - 3y + 4{z^2} - 2025 = 0\).

A. \(\overrightarrow n = ( - 3;1; - 2)\).

B. \(\overrightarrow n = (3;1;2)\)

C. \(\overrightarrow n = (3; - 1;2)\)

D. \(\overrightarrow n = (6; - 2;4)\)

A. $\overrightarrow{i}=(1;0;0)$

B.$\overrightarrow{m}=(1;1;1)$

C.$\overrightarrow{j}=(0;1;0)$

D.$\overrightarrow{k}=(0;0;1)$

A. $\overrightarrow{a}=(2;-3;1)$

B.$\overrightarrow{b}=(2;1;-3)$

C.$\overrightarrow{c}=(2;-3;0)$

D.$\overrightarrow{d}=(3;2;0)$

A.$\overrightarrow{n}=(3;6;-2)$

B.$\overrightarrow{n}=(2;-1;3)$

C.$\overrightarrow{n}=(-3;-6;-2)$

D. $\overrightarrow{n}=(-2;-1;3)$

A.$\overrightarrow{Q}=(1;-2;2)$

B.$\overrightarrow{P}=(2;-1;-1)$

C.$\overrightarrow{M}=(1;1;-1)$

D.$\overrightarrow{N}=(1;-1;-1)$

A. P (0;2;0)

A.$M(1;1;\frac{3}{2})$

B.$N(1;-1;\frac{-3}{2})$

C.$P(1;6;1)$

D.$Q(0;3;0)$