Đề ôn tập Chương 3 Hình học lớp 12 năm 2021 Trường THPT Thủ Khoa Huân

A. \(2\sqrt 3 \)

B. \(\frac{{4\sqrt 2 }}{{\sqrt 3 }}\)

C. \(\frac{2}{{\sqrt 3 }}\)

D. 4

A. 2

B. \(\dfrac43\)

C. \(\dfrac23\)

D. 4

A. 2

B. 3

C. 4

D. 5

A. x - y + z - 1 = 0

B. x - y + z + 1 = 0

C. x - y + z = 0

D. x - y + z - 2 = 0

A. \(\overrightarrow u = \left( {1;3;5} \right)\)

B. \(\overrightarrow u = \left( { - 1;3; - 5} \right)\)

C. \(\overrightarrow u = \left( {2;1; - 1} \right)\)

D. \(\overrightarrow u = \left( {1; - 2;1} \right)\)

A. 54

B. 6

C. 9

D. 18

A. \(2\sqrt 2 \)

B. \(\frac{4}{{\sqrt 3 }}\)

C. \(\sqrt 6 \)

D. 4

A. \(\left\{ \begin{array}{l} x = t\\ y = 7 - 3t\\ z = 2t \end{array} \right.\left( {t \in R} \right)\)

B. \(\left\{ \begin{array}{l} x = t\\ y = 7 + 3t\\ z = 2t \end{array} \right.\left( {t \in R} \right)\)

C. \(\left\{ \begin{array}{l} x = - t\\ y = 7 - 3t\\ z = 2t \end{array} \right.\left( {t \in R} \right)\)

D. \(\left\{ \begin{array}{l} x = 2t\\ y = 7 - 3t\\ z = t \end{array} \right.\left( {t \in R} \right)\)

A. 1

B. 2

C. 2 hoặc 32

D. 32

A. Q(2;-1;-5)

B. P(0;0;-5)

C. N(-5;0;0)

D. M(1;1;6)

A. x + 5y + 2z + 12 = 0

B. x + 5y - 2z + 12 = 0

C. x - 5y + 2z - 12 = 0

D. x + 5y + 2z - 12 = 0

A. \(\left\{ \begin{array}{l} x = 0\\ y = 1 - t\\ z = 0 \end{array} \right.\left( {t \in R} \right)\)

B. \(\left\{ \begin{array}{l} x = 1 + 2t\\ y = - 1 + t\\ z = 0 \end{array} \right.\left( {t \in R} \right)\)

C. \(\left\{ \begin{array}{l} x = - 1 + 2t\\ y = 1 + t\\ z = 0 \end{array} \right.\left( {t \in R} \right)\)

D. \(\left\{ \begin{array}{l} x = - 1 + 2t\\ y = - 1 + t\\ z = 0 \end{array} \right.\left( {t \in R} \right)\)

A. (0;-7;0)

B. (0;-7;0) hoặc (0;8;0)

C. (0;8;0)

D. (0;7;0) hoặc (0;8;0)

A. (-1;7;5)

B. (1;7;5)

C. (1;-7;-5)

D. (1;-7;5)

A. (P) đi qua M

B. (Q) // (Oxz)

C. (R) // Oz

D. \(\left( P \right) \bot \left( Q \right)\)

A. \(\left\{ \begin{array}{l} x = 1 + 4t\\ y = 2 + 3t\\ z = 3 - 7t \end{array} \right.\left( {t \in R} \right)\)

B. \(\left\{ \begin{array}{l} x = 1 + 4t\\ y = 2 + 3t\\ z = 3 - 7t \end{array} \right.\left( {t \in R} \right)\)

C. \(\left\{ \begin{array}{l} x = 4 + t\\ y = 3 + 2t\\ z = - 7 + 3t \end{array} \right.\left( {t \in R} \right)\)

D. Đáp số khác

A. 4x + 4y + 6z - 7 = 0

B. 2x + 3y + 3z - 5 = 0

C. 4x - 4y + 6z - 23 = 0

D. 2x - 3y - z - 9 = 0

A. \(m = - 3;n = \frac{2}{3}\)

B. Không có giá trị của m và n

C. \(m = 3;n = - \frac{2}{3}\)

D. \(m = 3;n = \frac{2}{3}\)

A. -1

B. -2

C. 1

D. 3

A. 45^o

B. 90^o

C. 30^o

D. 60^o

A. 6x - 4y - 3z - 12 = 0

B. 3x - 6y - 4z + 12 = 0

C. 4x - 6y - 3z + 12 = 0

D. 4x - 6y - 3z - 12 = 0

A. \(\Delta :\frac{{x + 4}}{{ - 4}} = \frac{{y + 2}}{{ - 4}} = \frac{{z - 4}}{1}\)

B. \(\Delta :\frac{{x + 4}}{{ - 1}} = \frac{{y + 2}}{2} = \frac{{z - 4}}{1}\)

C. \(\Delta :\frac{{x + 4}}{2} = \frac{{y + 2}}{{ - 2}} = \frac{{z - 4}}{{ - 1}}\)

D. \(\Delta :\frac{{x + 4}}{3} = \frac{{y + 2}}{2} = \frac{{z - 4}}{{ - 1}}\)

A. \(\frac{x}{3} + \frac{y}{1} + \frac{z}{{ - 4}} = 1\)

B. \(\frac{x}{1} + \frac{y}{{ - 4}} + \frac{z}{3} = 1\)

C. \(\frac{x}{1} + \frac{y}{3} + \frac{z}{{ - 4}} = 1\)

D. \(\frac{x}{{ - 4}} + \frac{y}{3} + \frac{z}{1} = 1\)

A. \(\left( P \right):7x - 6y - z - 7 = 0\)

B. \(\left( P \right):7x - 6y - z + 7 = 0\)

C. \(\left( P \right):x - 3y - z + 2 = 0\)

D. \(\left( P \right):x - 3y - z + 5 = 0\)

A. \(F = \frac{{49}}{4}\)

B. \(F = \frac{{49}}{5}\)

C. \(F = \frac{{51}}{4}\)

D. \(F = \frac{{51}}{5}\)

A. \(OM = \sqrt 3 \)

B. OM = 1

C. OM = 0

D. \(OM = \sqrt {10} \)

A. 3x - 4y + z - 26 = 0

B. 2x + y - z - 1 = 0

C. 4x - 3y - z + 1 = 0

D. x + 2y - z + 6 = 0

A. \(\overrightarrow m = \left( { - 3;22; - 3} \right)\)

B. \(\overrightarrow m = \left( {3;22; - 3} \right)\)

C. \(\overrightarrow m = \left( {3;22;3} \right)\)

D. \(\overrightarrow m = \left( {3; - 22;3} \right)\)

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

B. x + y + z - 6 = 0

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

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

A. 2017

B. \(\frac{{2014}}{{\sqrt 3 }}\)

C. \(\frac{{2016}}{{\sqrt 3 }}\)

D. \(\frac{{2015}}{{\sqrt 3 }}\)

A. \({{\left( x+2 \right)}^{2}}+{{\left( y+4 \right)}^{2}}+{{\left( z-5 \right)}^{2}}=40\)

B. \({{\left( x+2 \right)}^{2}}+{{\left( y+4 \right)}^{2}}+{{\left( z-5 \right)}^{2}}=82\)

C. \({{\left( x+2 \right)}^{2}}+{{\left( y+4 \right)}^{2}}+{{\left( z-5 \right)}^{2}}=58\)

D. \({{\left( x+2 \right)}^{2}}+{{\left( y+4 \right)}^{2}}+{{\left( z-5 \right)}^{2}}=90\)

A. \(\left( S \right):{{\left( x+\frac{13}{3} \right)}^{2}}+{{\left( y-\frac{7}{3} \right)}^{2}}+{{\left( z-\frac{10}{3} \right)}^{2}}=1\)

B. \(\left( S \right):{{\left( x-\frac{13}{3} \right)}^{2}}+{{\left( y-\frac{7}{3} \right)}^{2}}+{{\left( z-\frac{10}{3} \right)}^{2}}=1\)

C. \(\left( S \right):{{\left( x-\frac{13}{3} \right)}^{2}}+{{\left( y+\frac{7}{3} \right)}^{2}}+{{\left( z-\frac{10}{3} \right)}^{2}}=1\)

D. \(\left( S \right):{{\left( x-\frac{13}{3} \right)}^{2}}+{{\left( y-\frac{7}{3} \right)}^{2}}+{{\left( z+\frac{10}{3} \right)}^{2}}=1\)

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

B. \({{\left( x-2 \right)}^{2}}+{{\left( y-1 \right)}^{2}}+{{z}^{2}}=100\)

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

D. \({{\left( x-2 \right)}^{2}}+{{\left( y+1 \right)}^{2}}+{{z}^{2}}=100\)

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

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

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

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

A. \({{\left( x-2 \right)}^{2}}+{{\left( y-3 \right)}^{2}}+{{\left( z+1 \right)}^{2}}=289\)

B. \({{\left( x-2 \right)}^{2}}+{{\left( y-3 \right)}^{2}}+{{\left( z+1 \right)}^{2}}=298\)

C. \({{\left( x-2 \right)}^{2}}+{{\left( y+3 \right)}^{2}}+{{\left( z+1 \right)}^{2}}=289\)

D. \({{\left( x-2 \right)}^{2}}+{{\left( y-3 \right)}^{2}}+{{\left( z-1 \right)}^{2}}=289\)

A. \(R=\sqrt{2}\)

B. R = 2

C. R = 1

D. \(R=\frac{1}{2}\)

A. \(I\left( 1;-2;2 \right);\text{ }I\left( 5;2;10 \right)\)

B. \(I\left( 1;-2;2 \right);\text{ }I\left( 0;-3;0 \right)\)

C. \(I\left( 5;2;10 \right);\text{ }I\left( 0;-3;0 \right)\)

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

A. \(3x+z=0\)

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

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

D. \(x-3z=0\)

A. \(8\pi\)

B. \(4\pi \)

C. \(2\pi\)

D. \(4\pi \sqrt{2}\)

A. \(M\left( -3;2;1 \right),M\left( -1;0;5 \right)\)

B. \(M\left( 3;2;-1 \right),M\left( -1;0;5 \right)\)

C. \(M\left( 3;2;1 \right),M\left( -1;0;5 \right)\)

D. \(M\left( 3;2;1 \right),M\left( 1;0;5 \right)\)