Trắc nghiệm Hàm số lượng giác Toán Lớp 11

A. $\min y=2 ; \max y=4$

B. $\min y=2 ; \max y=6$

C. $\min y=4 ; \max y=6$

D. $\min y=2 ; \max y=8$

A. $\min y=-3 ; \max y=6$

B. $\min y=-4 ; \max y=6$

C. $\min y=-4 ; \max y=4$

D. $\min y=-2 ; \max y=6$

A. $\min y=-2 ; \max y=1+\sqrt{5}$

B. $\min y=2 ; \max y=\sqrt{5}$

C. $\min y=2 ; \max y=1+\sqrt{5}$

D. $\min y=2 ; \max y=4$

A. $\min y=-5$

B. $\min y=-3$

C. $\min y=-2$

D. $\min y=-4$

A. $\min y=-2$

B. $\min y=-3$

C. $\min y=-4$

D. $\min y=-1$

A. $\min y=0, \max y=3$

B. $\min y=0, \max y=4$

C. $\min y=0, \max y=6$

D. $\min y=0, \max y=2$

A. $\min y=-1, \max y=4$

B. $\min y=-1, \max y=7$

C. $\min y=-1, \max y=3$

D. $\min y=-2, \max y=7$

A. $D=\mathbb{R} \backslash\left\{\frac{\pi}{6}+k \frac{\pi}{3}, \frac{n \pi}{5} ; k, n \in \mathbb{Z}\right\}$

B. $D=\mathbb{R} \backslash\left\{\frac{\pi}{5}+k \frac{\pi}{3}, \frac{n \pi}{5} ; k, n \in \mathbb{Z}\right\}$

C. $D=\mathbb{R} \backslash\left\{\frac{\pi}{6}+k \frac{\pi}{4}, \frac{n \pi}{5} ; k, n \in \mathbb{Z}\right\}$

D. $D=\mathbb{R} \backslash\left\{\frac{\pi}{4}+k \frac{\pi}{3}, \frac{n \pi}{5} ; k, n \in \mathbb{Z}\right\}$

A. $D=\mathbb{R} \backslash\left\{\frac{3 \pi}{4}+k \pi, \frac{\pi}{3}+k \pi ; k \in \mathbb{Z}\right\}$

B. $D=\mathbb{R} \backslash\left\{\frac{3 \pi}{4}+k \pi, \frac{\pi}{5}+k \pi ; k \in \mathbb{Z}\right\}$

C. $D=\mathbb{R} \backslash\left\{\frac{\pi}{4}+k \pi, \frac{\pi}{3}+k \pi ; k \in \mathbb{Z}\right\}$

D. $D=\mathbb{R} \backslash\left\{\frac{3 \pi}{5}+k \pi, \frac{\pi}{6}+k \pi ; k \in \mathbb{Z}\right\}$

A. $D=\mathbb{R} \backslash\left\{\frac{\pi}{4}+k \frac{\pi}{2}, \frac{\pi}{12}+k \frac{\pi}{2} ; k \in \mathbb{Z}\right\}$

B. $D=\mathbb{R} \backslash\left\{\frac{\pi}{3}+k \frac{\pi}{2}, \frac{\pi}{5}+k \frac{\pi}{2} ; k \in \mathbb{Z}\right\}$

C. $D=\mathbb{R} \backslash\left\{\frac{\pi}{4}+k \frac{\pi}{2}, \frac{\pi}{3}+k \frac{\pi}{2} ; k \in \mathbb{Z}\right\}$

D. $D=\mathbb{R} \backslash\left\{\frac{\pi}{3}+k \frac{\pi}{2}, \frac{\pi}{12}+k \frac{\pi}{2} ; k \in \mathbb{Z}\right\}$

A. $D=\mathbb{R} \backslash\left\{k \pi, \frac{\pi}{6}+\frac{n 2 \pi}{3} ; k, n \in \mathbb{Z}\right\}$

B. $D=\mathbb{R} \backslash\left\{k \frac{\pi}{3}, \frac{\pi}{6}+\frac{n 2 \pi}{3} ; k, n \in \mathbb{Z}\right\}$

C. $D=\mathbb{R} \backslash\left\{k \pi, \frac{\pi}{6}+\frac{n 2 \pi}{5} ; k, n \in \mathbb{Z}\right\}$

D. $D=\mathbb{R} \backslash\left\{k \pi, \frac{\pi}{5}+\frac{n 2 \pi}{3} ; k, n \in \mathbb{Z}\right\}$

A. $D=\mathbb{R} \backslash\left\{-\frac{\pi}{8}+k \frac{\pi}{2}, k \in \mathbb{Z}\right\}$

B. $D=\mathbb{R} \backslash\left\{-\frac{3 \pi}{8}+k \frac{\pi}{2}, k \in \mathbb{Z}\right\}$

C. $D=\mathbb{R} \backslash\left\{-\frac{\pi}{4}+k \frac{\pi}{2}, k \in \mathbb{Z}\right\}$

D. $D=\mathbb{R} \backslash\left\{-\frac{\pi}{6}+k \frac{\pi}{2}, k \in \mathbb{Z}\right\}$

A. $\mathbb{R} \backslash\{k 2 \pi, k \in \mathbb{Z}\}$

B. $\mathbb{R} \backslash\left\{\frac{\pi}{2}+k \pi, k \in \mathbb{Z}\right\}$

C. $\mathbb{R}$

D. $\mathbb{R} \backslash\left\{\frac{\pi}{2}+k 2 \pi, k \in \mathbb{Z}\right\}$

A. $D=\mathbb{R}$

B. $D=\mathbb{R} \backslash\left\{\frac{\pi}{12}+\frac{k \pi}{3}, k \in \mathbb{Z}\right\}$

C. $D=\mathbb{R} \backslash\left\{\frac{\pi}{12}+k \pi, k \in \mathbb{Z}\right\}$

D. $D=\mathbb{R} \backslash\{k \pi, k \in \mathbb{Z}\}$

A. $D=\mathbb{R}$

B. $D=\mathbb{R} \backslash\{k 2 \pi, k \in \mathbb{Z}\}$

C. $D=\mathbb{R} \backslash\left\{\frac{\pi}{2}+k \pi, k \in \mathbb{Z}\right\}$

D. $D=\mathbb{R} \backslash\{k \pi, k \in \mathbb{Z}\}$

A. $x \neq \frac{\pi}{2}+k \pi$

B. $x \neq k 2 \pi$

C. $x \neq \frac{k \pi}{2}$

D. $x \neq k \pi$

A. $x \neq \frac{\pi}{2}+k 2 \pi$

B. $x \neq k 2 \pi$

C. $x \neq \frac{3 \pi}{2}+k 2 \pi$

D. $x \neq \pi+k 2 \pi$

A. $x=\frac{\pi}{2}+k \pi$

B. $x=k 2 \pi$

C. $x=k \pi$

D. $x \neq \frac{k \pi}{2}$

A. $x \neq k 2 \pi$

B. $x=\frac{\pi}{3}+k 2 \pi$

C. $\left\{\begin{array}{l}x \neq \frac{\pi}{2}+k \pi \\ x \neq k 2 \pi\end{array}\right.$

D. $\left\{\begin{array}{l}x \neq \frac{\pi}{2}+k \pi \\ x \neq \frac{\pi}{3}+k \pi\end{array}\right.$

A. m>0

B. 0<m<1

C. $m \neq-1$

D. -1<m<1

A. $D=\mathbb{R} \backslash\left\{\frac{\pi}{2}+k 2 \pi, k \in \mathbb{Z}\right\}$

B. $D=\mathbb{R}$

C. $D=\mathbb{R} \backslash\left\{\frac{\pi}{2}+k \pi, k \in \mathbb{Z}\right\}$

D. $D=\mathbb{R} \backslash\{k \pi, k \in \mathbb{Z}\}$

A. $D=\mathbb{R} \backslash\{k \pi, k \in \mathbb{Z}\}$

B. $D=\mathbb{R} \backslash\left\{\frac{\pi}{2}+k 2 \pi, k \in \mathbb{Z}\right\}$

C. $D=\mathbb{R} \backslash\{k 2 \pi, k \in \mathbb{Z}\}$

D. $D=\mathbb{R}$

A. $y=\sqrt{\frac{2+\cos x}{2-\sin x}}$

B. $y=\tan ^{2} x+\cot ^{2} x$

C. $y=\frac{1+\sin ^{2} x}{1+\cot ^{2} x}$

D. $y=\frac{\sin ^{3} x}{2 \cos x+\sqrt{2}}$

A. $D=\mathbb{R}$

B. $D=[0 ; 1]$

C. $D=[-1 ; 1]$

D. $D=\mathbb{R} \backslash\{k \pi, k \in \mathbb{Z}\}$

A. $\mathbb{R}$

B. $[-2 ;+\infty)$

C. $(0 ; 2 \pi)$

D. $[\arcsin (-2) ;+\infty)$

A. $\mathbb{R} \backslash\{\pi+k 2 \pi, k \in \mathbb{Z}\}$

B. $\mathbb{R} \backslash\{k 2 \pi, k \in \mathbb{Z}\}$

C. $\mathbb{R} \backslash\left\{\frac{\pi}{4}+k 2 \pi, k \in \mathbb{Z}\right\}$

D. $\mathbb{R} \backslash\left\{\frac{\pi}{2}+k 2 \pi, k \in \mathbb{Z}\right\}$

A. $\mathbb{R} \backslash\left\{\frac{\pi}{2}+k \pi \mid k \in \mathbb{Z}\right\}$

B. $\mathbb{R} \backslash\{\pi+k 2 \pi \mid k \in \mathbb{Z}\}$

C. $\mathbb{R}$

D. $\mathbb{R} \backslash\{1\}$

A. $\mathbb{R}$

B. $\mathbb{R} \backslash\{0\}$

C. $\mathbb{R} \backslash\{k \pi \mid k \in \mathbb{Z}\}$

D. $\mathbb{R} \backslash\left\{\frac{\pi}{2}+k \pi \mid k \in \mathbb{Z}\right\}$

A. $\mathbb{R} \backslash\{-1\}$

B. $(-1 ; 1)$

C. $\mathbb{R} \backslash\left\{\frac{\pi}{2}+k 2 \pi \mid k \in \mathbb{Z}\right\}$

D. $\mathbb{R} \backslash\left\{\frac{\pi}{2}+k \pi \mid k \in \mathbb{Z}\right\}$

A. $\mathbb{R}$

B. $\mathbb{R} \backslash\{1\}$

C. $\mathbb{R} \backslash\left\{\frac{\pi}{2}+k 2 \pi \mid k \in \mathbb{Z}\right\}$

D. $\mathbb{R} \backslash\{k \pi\}$

A. $\max y=2+\sqrt{10} ; \min y=2-\sqrt{10}$

B. $\max y=2+\sqrt{5} ; \min y=2-\sqrt{5}$

C. $\max y=2+\sqrt{2} ; \min y=2-\sqrt{2}$

D. $\max y=2+\sqrt{7} ; \min y=2-\sqrt{7}$

A. $\min y=-3 \sqrt{2}-1 ; \max y=3 \sqrt{2}+1$

B. $\min y=-3 \sqrt{2}-1 ; \max y=3 \sqrt{2}-1$

C. $\min y=-3 \sqrt{2} ; \max y=3 \sqrt{2}-1$

D. $\min y=-3 \sqrt{2}-2 ; \max y=3 \sqrt{2}-1$

A. $\begin{aligned} &\min y=-6 ; \max y=4 \end{aligned}$

B. $\text { B. min } y=-6 ; \max y=5$

C. $\min y=-3 ; \max y=4$

D. $\min y=-6 ; \max y=6$

A. $\max y=6, \min y=-2$

B. $\max y=4, \min y=-4$

C. $\max y=6, \min y=-4$

D. $\max y=6, \min y=-1$

A. $\max y=4, \min y=\frac{3}{4}$

B. $\max y=3, \min y=2$

C. $\max y=4, \min y=2$

D. $\max y=3, \min y=\frac{3}{4}$

A. $\min y=\frac{4}{3}, \max y=4$

B. $\min y=\frac{4}{3}, \max y=3$

C. $\min y=\frac{4}{3}, \max y=2$

D. $\min y=\frac{1}{2}, \max y=4$

A. $\begin{aligned} &\min y=2, \max y=1+\sqrt{3} \end{aligned}$

B. $\min y=2, \max y=2+\sqrt{3}$

C. $\begin{aligned} &\min y=1, \max y=1+\sqrt{3} \end{aligned}$

D. $\min y=1, \max y=2$

A. $\min y=1, \max y=2$

B. $\min y=1, \max y=3$

C. $\min y=2, \max y=3$

D. $\min y=-1, \max y=3$

A. $\min y=-2, \max y=4$

B. $\min y=2, \max y=4$

C. $\min y=-2, \max y=3$

D. $\min y=-1, \max y=4$

A. $\max y=1, \min y=1-\sqrt{3}$

B. $\max y=3, \min y=1-\sqrt{3}$

C. $\max y=2, \min y=1-\sqrt{3}$

D. $\max y=0, \min y=1-\sqrt{3}$

A. $\max y=\sqrt{5}, \min y=1$

B. $\max y=\sqrt{5}, \min y=2 \sqrt{5}$

C. $\max y=\sqrt{5}, \min y=2$

D. $\max y=\sqrt{5}, \min y=3$

A. $\min y=6, \max y=4+\sqrt{3}$

B. $\min y=5, \max y=4+2 \sqrt{3}$

C. $\min y=5, \max y=4+3 \sqrt{3}$

D. $\min y=5, \max y=4+\sqrt{3}$

A. $\min y=2, \max y=5$

B. $\min y=1, \max y=4$

C. $\min y=1, \max y=5$

D. $\min y=1, \max y=3$

A. $\min y=-2 ; \max y=1$

B. $\min y=-3 ; \max y=5$

C. $\min y=-5 ; \max y=1$

D. $\min y=-3 ; \max y=1$

A. $\min y=-2 ; \max y=5$

B. $\min y=-1 ; \max y=4$

C. $\min y=-1 ; \max y=5$

D. $\min y=-5 ; \max y=5$

A. 2

B. 5

C. 0

D. 1

A. -20

B. -8

C. 0

D. 9

A. $\sqrt2 \,và\,2$

B. 2 và 4

C. $4\sqrt2\, và\,8$

D. $4\sqrt2-1\,và\,7$

A. -2 và 7

B. -2 và 2

C. 5 và 9

D. 4 và 7

A. -8 và -2

B. 2 và 8

C. -5 và 2

D. -5 và 3