Đề khảo sát chất lượng HK2 môn Toán lớp 12 Trường THPT Chuyên Lê Hồng Phong - Nam Định

A. \(\frac{1}{{{e^2}}}\)

B. \(e^3\)

C. \(\frac{1}{{{e^3}}}\)

D. 1

A. P = 251

B. P = 22

C. P = 21

D. P = 252

A. 2

B. - 3

C. 3

D. 0

A. \(d = \frac{{a\sqrt {10} }}{5}\)

B. \(d = \frac{{2\sqrt 2 a}}{5}\)

C. \(d = \frac{{\sqrt 3 a}}{5}\)

D. \(d = \frac{{2a\sqrt 5 }}{5}\)

A. 0

B. 2

C. 1

D. 3

A. \(a < 1 < c < b\)

B. \(1 < a < c < b\)

C. \(1 < a < b < c\)

D. \(a < 1 < b < c\)

A. D = [1;2]

B. D = (1;2)

C. D = [1;2)

D. D = (1;2]

A. \(D = R\backslash \left\{ {\sqrt 3 } \right\}\)

B. \(D = R\backslash \left\{ {\sqrt 3 ; - \sqrt 3 } \right\}\)

C. D = R

D. \(D = \left( { - \infty ; - \sqrt 3 } \right) \cup \left( {\sqrt 3 ; + \infty } \right)\)

A. \(P = \sqrt x \)

B. \(P = \sqrt[3]{{{x^2}}}\)

C. \({x^{ - \frac{2}{3}}}\)

D. \({x^{ - \frac{1}{3}}}\)

A. \(R = \frac{{a\sqrt 5 }}{2}\)

B. \(R=a\)

C. \(R = a\sqrt {\frac{7}{{12}}} \)

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

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

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

C. \(R = \frac{{a\sqrt 3 }}{3}\)

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

A. \(x =  - \frac{3}{4}\)

B. \(x =   \frac{1}{4}\)

C. \(x =  - \frac{1}{4}\)

D. \(x=-1\)

A. \(V = \frac{{{a^3}\sqrt 3 }}{{24}}\)

B. \(V = \frac{{{a^3}\sqrt 3 }}{{12}}\)

C. \(V = \frac{{{a^3}}}{{12}}\)

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

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

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

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

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

A. \(y =  - {x^4} + 2{x^2} - 3\)

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

C. \(y = {x^4} - 2{x^2} - 3\)

D. \(y = {x^4} - 2{x^2}\)

A. 0

B. 1

C. 3

D. 2

A. 6

B. 4

C. 9

D. 3

A. \(y = {x^3} + 2\)

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

C. \(y = {x^3} - 3{x^2} + 3\)

D. \(y =  - {x^4} + 3\)

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

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

C. \(\frac{{3\sqrt 6 {a^3}}}{4}\)

D. \(a^3\)

A. \(75^0\)

B. \(60^0\)

C. \(45^0\)

D. \(90^0\)

A. \(\left( {3; + \infty } \right)\)

B. \(\left( {0; + \infty } \right)\)

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

D. \(\left( { - \infty ; 0} \right)\)

A. \({\log _a}\frac{b}{c} = {\log _a}b - {\log _a}c\)

B. \({\log _a}\left( {bc} \right) = {\log _a}b + {\log _a}c\)

C. \({\log _a}c = c \Leftrightarrow b = {a^c}\)

D. \({\log _a}\left( {b + c} \right) = {\log _a}b + {\log _a}c\)

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

B. \(\frac{1}{3}\)

C. \(\frac{1}{2}\)

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

A. \(m<-2\)

B. \(m>-2\)

C. \(m \le  - 2\)

D. \( - 2 < m \le 1\)

A. \(2\pi {a^2}\)

B. \(4\pi {a^2}\)

C. \(5\pi {a^2}\)

D. \(3\pi {a^2}\)

A. \(m \le \frac{1}{4}\)

B. \(m \le 1\)

C. \(m \ge \frac{1}{4}\)

D. \(m \ge 1\)

A. \(\frac{{13 + \sqrt {87} }}{2}\)

B. \(\frac{{11 + \sqrt {87} }}{2}\)

C. \(\frac{{7 + \sqrt {37} }}{2}\)

D. \(\frac{{9+ \sqrt {87} }}{2}\)

A. \(y' = \frac{{2x\ln 4}}{{{x^2} + 2}}\)

B. \(y' = \frac{1}{{\left( {{x^2} + 2} \right)\ln 4}}\)

C. \(y' = \frac{x}{{\left( {{x^2} + 2} \right)\ln 2}}\)

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

A. \( - 3 < m <  - 1\)

B. \( - 1 < m <  - \frac{3}{4}\)

C. \( - 1 < m < 0\)

D. \(m \ge  - 3\)

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

B. \(a\sqrt 3 \)

C. \(a\)

D. \(\frac{{a\sqrt 7 }}{2}\)