20 câu trắc nghiệm Toán 11 Chân trời sáng tạo Phương trình lượng giác cơ bản có đáp án

A. \(\left[ {\begin{array}{*{20}{c}}{{\rm{x = }}\frac{{\rm{\pi }}}{{\rm{3}}}{\rm{ + k2\pi }}}\\{{\rm{x = }} - \frac{{\rm{\pi }}}{{\rm{3}}}{\rm{ + k2\pi }}}\end{array}} \right.\left( {k \in \mathbb{Z}} \right)\)

B. \(\left[ {\begin{array}{*{20}{c}}{{\rm{x = }}\frac{{\rm{\pi }}}{{\rm{3}}}{\rm{ + k2\pi }}}\\{{\rm{x = }}\frac{{{\rm{2\pi }}}}{{\rm{3}}}{\rm{ + k2\pi }}}\end{array}} \right.\left( {k \in \mathbb{Z}} \right)\)

C. \({\rm{x = }}\frac{{\rm{\pi }}}{{\rm{3}}}{\rm{ + k\pi }}\)\(\left( {k \in \mathbb{Z}} \right)\)

D. \(\left[ {\begin{array}{*{20}{c}}{{\rm{x = }}\frac{{\rm{\pi }}}{{\rm{3}}}{\rm{ + k\pi }}}\\{{\rm{x = }}\frac{{{\rm{2\pi }}}}{{\rm{3}}}{\rm{ + k\pi }}}\end{array}} \right.\left( {k \in \mathbb{Z}} \right)\)

A. \(\left[ {\begin{array}{*{20}{c}}{{\rm{x = }}\frac{{\rm{\pi }}}{{{\rm{12}}}}{\rm{ + k2\pi }}}\\{{\rm{x = }}\frac{{{\rm{11\pi }}}}{{{\rm{12}}}}{\rm{ + }}l{\rm{2\pi }}}\end{array}} \right.\left( {k,l \in \mathbb{Z}} \right)\)

B. \(\left[ {\begin{array}{*{20}{c}}{{\rm{x = }}\frac{{\rm{\pi }}}{{{\rm{12}}}}{\rm{ + k2\pi }}}\\{{\rm{x = }} - \frac{{\rm{\pi }}}{{{\rm{12}}}}{\rm{ + k2\pi }}}\end{array}} \right.\left( {k \in \mathbb{Z}} \right)\)

C. \({\rm{x = }}\frac{{\rm{\pi }}}{{{\rm{12}}}}{\rm{ + k2\pi }}\left( {k \in \mathbb{Z}} \right)\)

D. \({\rm{x = }}\frac{{{\rm{11\pi }}}}{{{\rm{12}}}}{\rm{ + k2\pi }}\,\left( {k \in \mathbb{Z}} \right)\)

A. \[{\rm{x = \pm }}\frac{{{\rm{2\pi }}}}{{\rm{3}}}{\rm{ + k2\pi }}\]

B. \[{\rm{x = \pm }}\frac{{\rm{\pi }}}{{\rm{6}}}{\rm{ + k\pi }}\]

C. \[{\rm{x = \pm }}\frac{{\rm{\pi }}}{{\rm{3}}}{\rm{ + k2\pi }}\]

D. \[{\rm{x = \pm }}\frac{{\rm{\pi }}}{{\rm{6}}}{\rm{ + k2\pi }}\]

C. \[{\rm{x = }}\frac{{\rm{\pi }}}{{\rm{3}}}{\rm{ + k\pi }}\,\,\left( {{\rm{k}} \in \mathbb{Z}} \right)\]

A. \[{\rm{x}} \in \emptyset \]

B. \(\left[ {\begin{array}{*{20}{c}}{{\rm{x = arcsin}}\left( {\frac{{\rm{3}}}{{\rm{2}}}} \right){\rm{ + k2\pi }}}\\{{\rm{x = \pi }} - {\rm{arcsin}}\left( {\frac{{\rm{3}}}{{\rm{2}}}} \right){\rm{ + k2\pi }}}\end{array}} \right.\left( {k \in \mathbb{Z}} \right)\)

C. \(\left[ {\begin{array}{*{20}{c}}{{\rm{x = arcsin}}\left( {\frac{{\rm{3}}}{{\rm{2}}}} \right){\rm{ + k2\pi }}}\\{{\rm{x = }} - {\rm{arcsin}}\left( {\frac{{\rm{3}}}{{\rm{2}}}} \right){\rm{ + k2\pi }}}\end{array}} \right.\left( {k \in \mathbb{Z}} \right)\)

D. \(x \in \mathbb{R}\)

A. 0

B. 1

C. 2

D. 3

A. 6

B. 5

C. 4

D. 2

A. 29

B. 41

C. 34

D. 13

A. \[\left\{ {\frac{{\rm{\pi }}}{{\rm{4}}}{\rm{ + }}\frac{{{\rm{k\pi }}}}{{\rm{2}}}} \right\}\]

B. \[\left\{ {\frac{{{\rm{k\pi }}}}{{\rm{4}}}} \right\}\]

C. \[\left\{ {{\rm{k\pi ; }}\frac{{\rm{\pi }}}{{\rm{4}}}{\rm{ + }}\frac{{{\rm{k\pi }}}}{{\rm{2}}}} \right\}\]

D. \[\left\{ {{\rm{k\pi ; }}\frac{{\rm{\pi }}}{{\rm{4}}}{\rm{ + k\pi }}} \right\}\]

A. \[{\rm{S = }}\frac{{{\rm{3\pi }}}}{{\rm{2}}}\]

B. \[{\rm{S = }}\frac{{\rm{\pi }}}{{\rm{2}}}\]

C.\[{\rm{S = 4\pi }}\]

D. \[{\rm{S = }}\frac{{{\rm{5\pi }}}}{{\rm{2}}}\]

A. 4

B. 5

C. 3

D. 6

A. \[{\rm{S = }}\frac{{\rm{\pi }}}{{\rm{3}}}\]

B. \[{\rm{S = \pi }}\]

C. \[{\rm{S = 0}}\]

D. \[{\rm{S = }}\frac{{{\rm{5\pi }}}}{{\rm{6}}}\]

A. S = 4

B. S = 3

C. \[{\rm{S = }}\frac{{\rm{7}}}{{\rm{3}}}\]

D. \[{\rm{S = }}\frac{{\rm{8}}}{{\rm{3}}}\]

A. \[{\rm{S = }}\frac{{{\rm{2\pi }}}}{{\rm{3}}}\]

B. \[{\rm{S = \pi }}\]

C. \[{\rm{S = }}\frac{{\rm{\pi }}}{{\rm{2}}}\]

D. \[{\rm{S = 2\pi }}\]

A. \[{\rm{m}} \le 0\]

B. \[0 \le {\rm{m}} \le 1\]

C. \[ - 1 \le {\rm{m}} \le 1\]

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

A. \(\left[ {\begin{array}{*{20}{c}}{m < 1}\\{m > 2}\end{array}} \right.\)

B. m < 2

C. \(m \ge 1\)

D. 2 < m < 3

A. 4

B. 1

C. 2

D. 0

A. \[{\rm{S = \pi }}\]

B. \[{\rm{S = 2\pi }}\]

C. \[{\rm{S = }}\frac{{\rm{\pi }}}{{\rm{2}}}\]

D. \[{\rm{S = }}\frac{{{\rm{5\pi }}}}{{\rm{6}}}\]

A. 32^∘C, lúc 15 giờ.

B. 29^∘C, lúc 9 giờ.

C. 26^∘C, lúc 3 giờ.

D. 26^∘C, lúc 0 giờ.

A. 2

B. 3

C. 5

D. 4