Đề thi HK2 môn Toán 12 Trường THPT Trần Hưng Đạo - TP. Hồ Chí Minh năm học 2017 -...

A. N(-1;-2; -3)

B. N(1; 2; -3)

C. N(1; 2; 0)

D. N(-1;-2; 3)

A. \(\frac{{135}}{4}\)

B. \(\frac{{255}}{2}\)

C. 189

D. 36

A. T = 3

B. \(T = \frac{{17}}{4}\)

C. T = 6

D. T = 7

A. MN = 4

B. \(MN = \sqrt 6 \)

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

D. \(MN = \frac{4}{{\sqrt 3 }}\)

A. \(I = 2{\ln ^2}x + 1 + C\)

B. \(I = {\ln ^2}x + lnx + C\)

C. \(I = {\ln ^2}x + 1 + C\)

D. \(I = 2{\ln ^2}x + lnx + C\)

A. \(\overrightarrow a  = \left( {2; - 1;1} \right)\)

B. \(\overrightarrow a  = \left( {1; 0; -1} \right)\)

C. \(\overrightarrow a  = \left( {1; 3; 1} \right)\)

D. \(\overrightarrow a  = \left( {1; - 3; 1} \right)\)

A. S = 5

B. S = 12

C. S = -1

D. S = -9

A. 4

B. -8

C. \( - \frac{8}{3}.\)

D. \( - \frac{7}{3}.\)

A. \(\left( S \right):{\left( {x + 1} \right)^2} + {\left( {y - 4} \right)^2} + {\left( {z + 3} \right)^2} = 18\)

B. \(\left( S \right):{\left( {x - 1} \right)^2} + {\left( {y + 4} \right)^2} + {\left( {z - 3} \right)^2} = 18\)

C. \(\left( S \right):{\left( {x - 1} \right)^2} + {\left( {y + 4} \right)^2} + {\left( {z - 3} \right)^2} = 16\)

D. \(\left( S \right):{\left( {x - 5} \right)^2} + {\left( {y + 3} \right)^2} + {\left( {z - 2} \right)^2} = 16\)

A. \(\int\limits_a^c {f\left( x \right)dx = 7} \)

B. \(\int\limits_a^c {f\left( x \right)dx =  - 2} \)

C. \(\int\limits_a^c {f\left( x \right)dx = 3} \)

D. \(\int\limits_a^c {f\left( x \right)dx = 10} \)

A. \(\frac{{x - 4}}{{ - 7}} = \frac{y}{1} = \frac{{z + 3}}{4}\)

B. \(\frac{{x - 4}}{7} = \frac{{y + 2}}{{ - 1}} = \frac{{z + 1}}{{ - 4}}\)

C. Không tồn tại giao tuyến

D. \(\frac{{x - 4}}{7} = \frac{y}{1} = \frac{{z + 3}}{{ - 4}}\)

A. C(0;0; 5)

B. C(0;0; 6)

C. C(0;0; 2)

D. C(0;0; 4)

A. \(f\left( {{{\sin }^2}x} \right)\)

B. \(f\left( {{{\cos }^2}x} \right)\)

C. \(2\sin xf\left( {{{\sin }^2}x} \right)\)

D. \(\sin 2x.f\left( {{{\sin }^2}x} \right)\)

A. 2

B. 4

C. 5

D. 3

A. \(I = \int\limits_1^{\frac{\pi }{2}} {\frac{{4{t^3} - 4t}}{t}} \,dt\)

B. \(I =  - 4\int\limits_1^{\sqrt 2 } {\left( {{t^2} - 1} \right)} \,dt\)

C. \(I = \int\limits_{\sqrt 2 }^1 {\frac{{ - 4{t^3} - 4t}}{t}} \,dt\)

D. \(I = 4\int\limits_1^{\sqrt 2 } {\left( {{t^2} - 1} \right)} \,dt\)

A. \(\left( {4;3;3} \right)\)

B. \(\left( {-4;3;1} \right)\)

C. \(\left( {3;4;-3} \right)\)

D. \(\left( {4;-3;3} \right)\)

A. F(x) =  - cos (2x)

B. \(F(x) = \frac{{\cos (2x)}}{2}\)

C. F(x) =  2cos (2x)

D. \(F(x) =  - \,\frac{{\cos (2x)}}{2}\)

A. (-2; 3; 4)

B. (-2; -4; 0)

C. (2; -3; 4)

D. (-2; -4; 3)

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

B. \(\left( \alpha  \right):\frac{x}{8} + \frac{y}{{ - 2}} + \frac{z}{4} = 0.\)

C. \(\left( \alpha  \right):x - 4y + 2z - 8 = 0.\)

D. \(\left( \alpha  \right):x - 4y + 2z = 0.\)

A. \(\left| {\overrightarrow a  + \overrightarrow b } \right| = 2\sqrt 7 \)

B. \(\left| {\overrightarrow a  + \overrightarrow b } \right| = 6\)

C. \(\left| {\overrightarrow a  + \overrightarrow b } \right| = 2\sqrt 3 \)

D. \(\left| {\overrightarrow a  + \overrightarrow b } \right| = \sqrt {8\sqrt 3  + 20} \)

A. \(\int {f'\left( x \right)} \,dx = f\left( x \right) + C\)

B. \(\int 0 \,dx = 0\)

C. \(\int {\left[ {f\left( x \right).g\left( x \right)} \right]} \,dx = \int {f\left( x \right)} \,dx.\int {g\left( x \right)} \,dx\)

D. \(\int {f\left( x \right)} \,dx = f'\left( x \right) + C\)

A. \(\int\limits_a^b {f(x)dx = F(x)\mathop |\nolimits_a^b }  = F(a) - F(b)\)

B. \(\int\limits_a^b {\left[ {f(x) + g(x)} \right]dx = } \int\limits_a^b {f(x)dx + \int\limits_a^b {g(x)dx} } \)

C. \(F'(x) = f(x)\)

D. \(\int\limits_a^b {f(x)dx = }  - \int\limits_b^a {f(x)dx} \)

A. 1

B. 3

C. 1/2

D. 2

A. 6x + 3y + z - 15 = 0

B. không tồn tại mp(P).

C. \(x - y + 12{\rm{z}} - 15 = 0\)

D. 6x + 3y + z + 15 = 0

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

B. \(\frac{3}{5}\)

C. 4

D. 1

A. \(\left| {\overrightarrow {AB} } \right| = \sqrt {11} \)

B. \(\left| {\overrightarrow {AB} } \right| = \sqrt 3 \)

C. \(\left| {\overrightarrow {AB} } \right| = 3\sqrt 3 \)

D. \(\left| {\overrightarrow {AB} } \right| = 3\sqrt 11 \)

A. \(M\left( { - 1;2;0} \right)\)

B. \(M\left( { 0;-1;2} \right)\)

C. \(M\left( { - 3;2;8} \right)\)

D. \(M\left( {1; -2;0} \right)\)

A. C(1; 1;0)

B. C(3;-3; 2)

C. C(5;-1; 2)

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

A. I = -3

B. I = 9

C. I = 3

D. I = 27

A. \(\overrightarrow {{u_3}} \left( {5;0;3} \right)\)

B. \(\overrightarrow {{u_1}} \left( {5;1;3} \right)\)

C. \(\overrightarrow {{u_2}} \left( {1;1; - 2} \right)\)

D. \(\overrightarrow {{u_2}} \left( {1;0; - 2} \right)\)