Đề thi HK2 môn Toán 10 Trường THPT Lương Phú Thái Nguyên - năm 2018

A. \({x^2} + {y^2} - 6x + y - 1 = 0.\)

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

C. \({x^2} + {y^2} - 6x - y + 1 = 0.\)

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

A. 6,9

B. 6,8

C. 7

D. 7,1

A. \(\sqrt 6  - \frac{1}{2}\)

B. \(\frac{1}{{\sqrt 6 }} - \frac{1}{2}\)

C. \(\sqrt 6  - 3\)

D. \(\frac{{\sqrt 6 }}{6} - 3\)

A. \(\cos C = \frac{{{a^2} + {b^2} - {c^2}}}{{2ab}}\)

B. \({a^2} = {b^2} + {c^2} - 2ab\cos C\)

C. \(\frac{a}{{\sin A}} = \frac{c}{{\sin C}}\)

D. \(\frac{a}{{\sin A}} = \frac{b}{{\sin B}} = \frac{c}{{\sin }}\)

A. \(\frac{{{x^2}}}{{16}} + \frac{{{y^2}}}{4} = 1\)

B. \(\frac{{{x^2}}}{{64}} + \frac{{{y^2}}}{{16}} = 1\)

C. \(\frac{{{x^2}}}{{36}} + \frac{{{y^2}}}{9} = 1\)

D. \(\frac{{{x^2}}}{{24}} + \frac{{{y^2}}}{{16}} = 1\)

A. 1

B. 2

C. 3

D. Vô số 

A. 50⁰

B. -50⁰

C. \( - {50^0} + k{360^0},k \in Z\)

D. \( - {50^0} + k2\pi ,k \in Z\)

A. \(m \ge \frac{1}{2}\)

B. \(m > \frac{1}{2}\)

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

D. \(m \le \frac{1}{2}\)

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

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

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

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

A. \(x \in \left( { - \infty ; - 2} \right) \cup \left[ { - \frac{3}{5};\frac{3}{2}} \right)\)

B. \(x \in \left( { - 2; - \frac{3}{5}} \right) \cup \left( {\frac{3}{2}; + \infty } \right)\)

C. \(x \in \left( { - 2; - \frac{3}{5}} \right] \cup \left( {\frac{3}{2}; + \infty } \right)\)

D. \(x \in \left( { - 2; - \frac{3}{5}} \right) \cup \left[ {\frac{3}{2}; + \infty } \right)\)

A. \(\left( { - 5;1} \right] \cup \left[ {4; + \infty } \right)\)

B. \(\left[ { - 5;1} \right] \cup \left[ {4; + \infty } \right)\)

C. \(\left( { - \infty ; - 5} \right) \cup \left[ {1;4} \right]\)

D. \(\left( { - \infty ; - 5} \right] \cup \left[ {1;4} \right]\)

A. m = 0 hoặc m = 1

B. m = 4 hoặc m = -6

C. m = -4 hoặc m = -6

D. m = -4 hoặc m = -6

A. \(f(x) > 0,\forall x \in R\)

B. \(f(x) > 0,\forall x \in (0; + \infty )\)

C. \(f(x) < 0,\forall x \in R\)

D. \(f(x) < 0,\forall x \in (0; + \infty )\)

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

B. \(\overrightarrow {{n_2}}  = ( - 2; - 3)\)

C. \(\overrightarrow {{n_3}}  = (2;3)\)

D. \(\overrightarrow {{n_4}}  = (4;6)\)

A. 114⁰35’

B. 114⁰35’29”

C. 114⁰59’

D. 114⁰59’15”     

A. \(x + y = \frac{\pi }{4}\)

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

C. \(x + y = \frac{{3\pi }}{4}\)

D. \(x + y = \frac{{5\pi }}{6}\)

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

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

C. \({x^2} + {y^2} - x - y + 9 = 0.\)

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

A. \( - \frac{{18}}{{65}}\)

B. \(\frac{{16}}{{65}}\)

C. \( - \frac{{16}}{{65}}\)

D. \(\frac{{18}}{{65}}\)

A. \(x \in \left( {1;\frac{4}{3}} \right)\)

B. \(x \in ( - \infty ;1) \cup \left( {\frac{4}{3}; + \infty } \right)\)

C. \(x \in (1; + \infty )\)

D. \(x \in \left[ {1;\frac{4}{3}} \right]\)

A. \(5\sqrt 2 .\)

B. \(2\sqrt {23} .\)

C. 10

D. 5

A. \(4\sqrt 3 \)

B. \(3\sqrt 2 \)

C. \(\sqrt {70} \)

D. \(\frac{{20\sqrt 2 }}{3}\)

A. m > 5

B. \(m \le \frac{{11}}{2}\)

C. \(m < \frac{3}{7 hoặc m > 5

D. m > 4

A. 5

B. 6

C. 3

D. 4

A. \(2x + 4y \le 0\)

B. x - 2xy > 0

C. \(2{x^2} + 4y > 0\)

D. \({x^2} - 3xy + {y^2} < 0\)

A. \(\left\{ \begin{array}{l}
x = 3t\\
y = 2 + 2t
\end{array} \right..\)

B. \(\left\{ \begin{array}{l}
x = t\\
y = 2 + t
\end{array} \right..\)

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

D. \(\left\{ {\begin{array}{*{20}{l}}
{x =  - t}\\
{y = 2 + t}
\end{array}} \right..\)

A. \(\frac{7}{{18}}\pi \)

B. \(\frac{{70}}{\pi }\)

C. \(\frac{7}{{18}}\)

D. \(\frac{7}{{18\pi }}\)

A. \({\sin ^6}x + {\cos ^6}x = 1 + 3{\sin ^2}x{\cos ^2}x.\)

B. \({\sin ^4}x - {\cos ^4}x = {\sin ^2}x - {\cos ^2}x.\)

C. \({\sin ^4}x + {\cos ^4}x = 1 + 2{\sin ^2}x{\cos ^2}x.\)

D. \({\sin ^4}x + {\cos ^4}x = 1.\)

A. \(x \in \left( {\frac{5}{2} + \infty ;} \right)\)

B. \(x \in \left( { - \frac{5}{2}; + \infty } \right)\)

C. \(x \in \left( { - \infty ;\frac{5}{2}} \right)\)

D. \(x \in \left( { - \infty ; - \frac{5}{2}} \right)\)

A. \({F_1}(0; - 3);{F_2}(0;3)\)

B. \({F_1}(0; - 9);{F_2}(0;9)\)

C. \({F_1}( - 3;0);{F_2}(3;0)\)

D. \({F_1}( - 9;0);{F_2}(9;0)\)

A. 0,925

B. 37

C. 44

D. 1,1

A. \(\left[ {5; + \infty } \right)\)

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

C. \(\left( { - \infty ;5} \right]\)

D. \(\left( {5; + \infty } \right)\)

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

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

C. 0

D. 1

A. \(m \in \left[ {0;\frac{1}{4}} \right]\)

B. \(m \in \left( { - \infty ;0} \right] \cup \left[ {\frac{1}{4}; + \infty } \right]\)

C. \(m \in \left( {0;\frac{1}{4}} \right)\)

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

A. \(\cos \alpha  > 0\)

B. \(\sin \alpha  < 0\)

C. \(\tan \alpha  < 0\)

D. \(\cot \alpha  < 0\)

A. P(1; 1)

B. N(1; 0)

C. Q(0; 1)

D. M(0;-1)

A. 8cm

B. 10cm

C. 9cm

D. 7,5cm

A. x + y + 17 = 0

B. x + 14 = 0

C. x - 3 = 0

D. y - 14 = 0

A. \(\sin \left( {\frac{\pi }{2} - \alpha } \right) = \cos \alpha \)

B. \(\cos \left( {\alpha  + \frac{\pi }{2}} \right) =  - \sin \alpha \)

C. \(\cot (\alpha  + \pi ) =  - \cot \alpha \)

D. \(\tan \left( {\pi  - \alpha } \right) =  - \tan \alpha \)

A. 2

B. 1

C. 4

D. 3

A. Điểm B’

B. Điểm A’

C. Điểm A

D. Điểm B

A. 60 cm

B. 15cm

C. 120 cm

D. 30cm

A. \(\cos \alpha  =  - \frac{{\sqrt {21} }}{5}\)

B. \(\tan \alpha  =  - \frac{3}{4}\)

C. \(\cot \alpha  = \frac{8}{{13}}\)

D. \(\sin \alpha  = \frac{7}{{\sqrt {410} }}\)

A. m = 1

B. m < 1

C. \(m \ne 1\)

D. m > 1

A. x - y = 0

B. x + y - 2 = 0

C. 2x + y - 3 = 0

D. x + 2y - 3 = 0

A. (-1; -1)

B. (1; 1)

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

D. \(\left( {1;\frac{3}{4}} \right)\)

A. \(\frac{x}{3} - \frac{y}{5} = 1\)

B. \( - \frac{x}{5} + \frac{y}{3} = 1\)

C. \( - \frac{x}{3} + \frac{y}{5} = 1\)

D. \( - \frac{x}{5} - \frac{y}{3} = 1\)

A. Song song

B. Cắt nhau nhưng không vuông góc

C. Trùng nhau

D. Vuông góc với nhau

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

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

C. \(\pi \)

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

A. 25

B. 5

C. 16

D. 10

A. \(\left( { - \infty ; - \frac{3}{4}} \right) \cup \left[ {1; + \infty } \right)\)

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

C. \(\left( { - \infty ; - \frac{3}{4}} \right) \cup \left( {1; + \infty } \right)\)

D. \(\left[ { - \frac{3}{4};1} \right]\)