Đề thi HK2 môn Toán 12 Trường THPT Trung Giã - Hà Nội năm học 2017 - 2018

A. 0

B. 3

C. 1

D. 2

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

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

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

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

A. \(x = \frac{\pi }{6} + k2\pi ;x = \frac{{5\pi }}{6} + k2\pi \left( {k \in Z} \right).\)

B. \(x = \frac{\pi }{6} + k2\pi \left( {k \in Z} \right).\)

C. \(x = \frac{{5\pi }}{6} + k2\pi \left( {k \in Z} \right).\)

D. \(x = \frac{\pi }{6} + k\pi ;x = \frac{{5\pi }}{6} + k\pi \left( {k \in Z} \right).\)

A. 2

B. \(\sqrt 3 \)

C. \(2\sqrt 3 \)

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

A. \(\frac{3}{4}.\)

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

C. \(\frac{{\sqrt 3 }}{12}.\)

D. \(\frac{1}{4}.\)

A. \(y' = \frac{{1 - {{\log }_3}x}}{{{x^2}}}.\)

B. \(y' = \frac{{1 + \ln x}}{{{x^2}.\ln 3}}.\0

C. \(y' = \frac{{1 - \ln x}}{{{x^2}.\ln 3}}.\)

D. \(y' = \frac{{1 + {{\log }_3}x}}{{{x^2}}}.\)

A. \(\frac{{{a^3}\sqrt 6 }}{3}\)

B. \(\frac{{2{a^3}\sqrt 2 }}{3}\)

C. \(\frac{{{a^3}\sqrt 3 }}{6}\)

D. \(\frac{{{a^3}\sqrt 6 }}{6}\)

A. \(\frac{{a\sqrt 3 }}{2}.\)

B. \(\frac{{a\sqrt 2 }}{6}.\)

C. \(\frac{{a\sqrt 3 }}{6}.\)

D. \(\frac{{a\sqrt 2 }}{4}.\)

A. y = 9x + 7

B. y = 9x - 7

C. y = -9x + 7

D. y = -9x - 7

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

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

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

D. \({z^2} - 2z - 3 = 0.\)

A. \(P = \frac{1}{{12}}.\)

B. \(P = \frac{12}{{7}}.\)

C. P = 12

D. \(P = \frac{7}{{12}}.\)

A. \(M = 5;{\rm{ }}m = \frac{{13}}{3}\)

B. M = 5, m = 4 

C. \(M = \frac{{13}}{3};{\rm{ }}m = 4.\)

D. M = 5, m = -4 

A. \(K = \ln 2 - \frac{1}{4}.\)

B. \(K =  - \ln 2 + \frac{1}{2}.\)

C. \(K = \ln 2 - \frac{1}{2}.\)

D. \(K = \ln 2 + \frac{1}{2}.\)

A. (1; 1; -2)

B. (2; 0; -7)

C. (1; ;1; -3)

D. (0; 2; 3)

A. \(\frac{1}{5}.\)

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

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

D. \(\frac{{\sqrt 14 }}{14}.\)

A. \(m \in R\)

B. \(m \ge  - 2.\)

C. m< -2

D. \(m \le  - 2.\)

A. \({\left( {x - 1} \right)^2} + {y^2} + {z^2} = 17.\)

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

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

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

A. 6x + 4y + 3z - 24 = 0.

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

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

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

A. \(I =  - \frac{4}{{35}}\)

B. \(I = \frac{1}{2}\ln \frac{5}{7}\)

C. \(I = \frac{1}{2}\log \frac{7}{5}\)

D. \(I = \frac{1}{2}\ln \frac{7}{5}\)

A. 5

B. 8

C. 7

D. 6

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

B. \(R = 2\sqrt 3 .\)

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

D. R = 1

A. -2

B. 3

C. 2

D. 4

A. \(A_{10}^3\)

B. \(A_{10}^7\)

C. \(C_{10}^3\)

D. 10³

A. M = 16

B. M = 7

C. M = 4

D. M = -4

A. f(x) nghịch biến trên mỗi khoảng \(left( { - \infty ;1} \right)\) và \(\left( {1; + \infty } \right).\)

B. f(x) đồng biến trên R \ {1}

C. f(x) đồng biến trên mỗi khoảng \(left( { - \infty ;1} \right)\) và \(\left( {1; + \infty } \right).\)

D. f(x) nghịch biến trên R

A. \(S = \frac{{32}}{3}.\)

B. \(S = \frac{{20}}{3}.\)

C. \(S = \frac{{28}}{3}.\)

D. \(S = \frac{{22}}{3}.\)

A. 2

B. -1

C. 1/2

D. 1

A. \( - \frac{1}{3}\cos 3x + C.\)

B. -3cos3x + C

C. \( \frac{1}{3}\cos 3x + C.\)

D. 3cos3x + C

A. 4²⁰¹⁶ - 1

B. 4²⁰¹⁶

C. 3²⁰¹⁶

D. 3²⁰¹⁶ - 1

A. \(y = {\log _2}\left( {{2^x} + 1} \right).\0

B. \(y = {\log _2}\left(\){{x^2} + 1} \right).$

C. \(y = {\log _2}\left( {x - 1} \right).\)

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

A. 18564

B. 194265

C. 192456.

D. 64152.

A. m = -2

B. m = 1

C. m = -1

D. m = 2

A. \(3 + 2\sqrt 2 .\)

B. \(2 + 2\sqrt 2 .\)

C. \(3 - 2\sqrt 2 .\)

D. 4

A. \(3\sqrt 3 .\)

B. \(3\sqrt 5 .\)

C. \(3\sqrt 7 .\)

D. \(3\sqrt 2 .\)

A. \(\frac{\pi }{4}\left( {{e^2} + 1} \right).\)

B. \(\frac{1}{4}\left( {{e^2} + 1} \right).\)

C. \(\frac{\pi }{4}\left( {{e^2} - 1} \right).\)

D. \(\frac{1}{4}\left( {{e^2} - 1} \right).\)

A. 10/21

B. 5/14

C. 25/42

D. 5/42

A. \(\sqrt 6 \)

B. \(\sqrt 2 \)

C. \(\sqrt 3 \)

D. \(\sqrt 5 \)

A. \({u_{2018}} = \frac{{2016.2018}}{{2017}}.\)

B. \({u_{2018}} = \frac{{2017.2019}}{{2020}}.\)

C. \({u_{2018}} = \frac{{2017.2018}}{{2019}}.\)

D. \({u_{2018}} = \frac{{2017.2019}}{{2018}}.\)

A. 2

B. 3

C. \(\sqrt 2 .\)

D. \(\sqrt 3 .\)

A. \(\frac{{\sqrt 3 \left( {\sqrt 3  + 1} \right)}}{4}\pi {R^2}.\)

B. \(\frac{{3 + 2\sqrt 2 }}{2}\pi {R^2}.\(

C. \(\frac{{3 + 2\sqrt 3 }}{2}\pi {R^2}.\)

D. \(\frac{{\sqrt 3 \left( {\sqrt 2  + 1} \right)}}{4}\pi {R^2}.\)

A. z = 4i

B. \(z = \sqrt 3  + i\)

C. z = -2

D. z = -2 + 3i

A. \(\frac{{\sqrt 2 \pi {a^3}}}{3}.\)

B. \(\frac{{\pi {a^3}}}{2}.\)

C. \(\sqrt 2 \pi {a^3}.\)

D. \(\frac{{\pi {a^3}}}{6}.\)

A. 2

B. 1/2

C. 1

D. 3/2

A. \(T = \frac{{{2^{2017}} - 1}}{{\ln 2}}.\)

B. \(T = \frac{{{2^{2018}} - 1}}{{\ln 2}}.\0

C. \(T = 1009\frac{{{2^{2017}} + 1}}{{\ln 2}}.\)

D. \(T = {2^{2017.2018}}.\)

A. \(\frac{a}{2}.\)

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

C. \(\frac{{a\sqrt 3 }}{6}.\)

D. \(a\sqrt 3 .\)

A. \( - 1 \le m \le 1.\)

B. m < -1

C. \(m \in R\)

D. m > 1

A. \(m \ne 2\,\,va`\,\,m \ne \frac{1}{4}\)

B. \(m \ne 1\)

C. \(m \ne 1\,\,va`\,\,m \ne 2\)

D. \(m \ne 0\)

A. 3x - z = 0

B. 3x + z = 0

C. 3x + z + 1 = 0

D. 4x - y = 0

A. -2 < m < 3

B. -1 < m < 3

C. -2 < m < 2

D. \( - 2 \le m < 2\)

A. m < -1

B. ,m > 4

C. \(3 < m \le 4.\)

D. \(1 \le m < 3.\)