Trắc nghiệm Hàm số lượng giác Toán Lớp 11

A. \(T_0=3\pi\)

B. \(T_0=2\pi\)

C. \(T_0=\pi\)

D. \(T_0=4\pi\)

A. \(T_0=3\pi\)

B. \(T_0=2π\)

C. \(T_0=\pi/3\)

D. \(T_0=\pi\)

A. miny=−2

B. miny=−3

C. miny=−4

D. miny=−1

A. \( \max y = 4;\min y = \frac{3}{4}\)

B. \(maxy=3;miny=2\)

C. \(maxy=4;miny=2\)

D. \( \max y = 3;\min y = \frac{3}{4}\)

A. \(T _0 = 2 π \)

B. \(T _0 = π \)

C. \(T _0 = 3 π \)

D. \(T _0 = 4 π \)

A. \( D = R \setminus \left\{ { - \frac{\pi }{8} + k\frac{\pi }{4},k \in Z} \right\}\)

B. \( D = R \setminus \left\{ { - \frac{3\pi }{8} + k\frac{\pi }{2},k \in Z} \right\}\)

C. \( D = R \setminus \left\{ { - \frac{\pi }{8} + k\frac{\pi }{2},k \in Z} \right\}\)

D. \( D = R \setminus \left\{ { k\frac{2\pi }{3},k \in Z} \right\}\)

A. \(T_0=2π\)

B. \(T_0=3π\)

C. \(T_0=π\)

D. \(T_0=4\pi \)

A. \( D = R \setminus \left\{ {\frac{\pi }{3} + k\frac{\pi }{2};k \in Z} \right\}\)

B. \( D = R \setminus \left\{ {\frac{\pi }{4} + k\frac{\pi }{2};k \in Z} \right\}\)

C. \( D = R \setminus \left\{ {\frac{\pi }{12} + k\frac{\pi }{2};k \in Z} \right\}\)

D. \( D = R \setminus \left\{ {\frac{\pi }{8} + k\frac{\pi }{2};k \in Z} \right\}\)

A. \( D = R \setminus \left\{ {\frac{\pi }{8} + \frac{{k\pi }}{2},k \in Z} \right\}\)

B. \( D = R \setminus \left\{ {\frac{3\pi }{8} + \frac{{k\pi }}{2},k \in Z} \right\}\)

C. \( D = R \setminus \left\{ {\frac{3\pi }{8} + {k\pi },k \in Z} \right\}\)

D. \( D = R \setminus \left\{ {\frac{3\pi }{4} + \frac{{k\pi }}{2},k \in Z} \right\}\)

A. \( D = R \setminus \left\{ {\frac{\pi }{4} + k\frac{\pi }{3},\frac{{n\pi }}{5};k,n \in Z} \right\}\)

B. \( D = R \setminus \left\{ {\frac{\pi }{5} + k\frac{\pi }{3},\frac{{n\pi }}{5};k,n \in Z} \right\}\)

C. \( D = R \setminus \left\{ {\frac{\pi }{6} + k\frac{\pi }{4},\frac{{n\pi }}{5};k,n \in Z} \right\}\)

D. \( D = R \setminus \left\{ {\frac{\pi }{6} + k\frac{\pi }{3},\frac{{n\pi }}{5};k,n \in Z} \right\}\)

A. \( D = R \setminus \left\{ {\frac{{k2\pi }}{3},k \in Z} \right\}\)

B. \(% MathType!MTEF!2!1!+- % feaahqart1ev3aaatCvAUfeBSjuyZL2yd9gzLbvyNv2CaerbuLwBLn % hiov2DGi1BTfMBaeXatLxBI9gBaerbd9wDYLwzYbItLDharqqtubsr % 4rNCHbGeaGqiVCI8FfYJH8YrFfeuY-Hhbbf9v8qqaqFr0xc9pk0xbb % a9q8WqFfeaY-biLkVcLq-JHqpepeea0-as0Fb9pgeaYRXxe9vr0-vr % 0-vqpWqaaeaabiGaciaacaqabeaadaqaaqaaaOqaaabaaaaaaaaape % Gaamiraiabg2da9mrr1ngBPrwtHrhAYaqeguuDJXwAKbstHrhAGq1D % VbacfaGae8xhHi1efv3ySLgznfgDOfdarCqr1ngBPrginfgDObYtUv % gaiyaacqGFwiIGdaGadaWdaeaapeWaaSaaa8aabaWdbiabec8aWbWd % aeaapeGaaGOnaaaacqGHRaWkdaWcaaWdaeaapeGaam4Aaiabec8aWb % WdaeaapeGaaG4maaaacaGGSaGaam4AaiabgIGiolab-rsiAbGaay5E % aiaaw2haaaaa!5B56! D = R\setminus \left\{ {\frac{\pi }{6} + \frac{{k\pi }}{3},k \in Z} \right\}\)

C. \( D = R \setminus \left\{ {\frac{{k\pi }}{3},k \in Z} \right\}\)

D. \( D = R \setminus \left\{ {\frac{{k\pi }}{2},k \in Z} \right\}\)

A. \(T_0=2π\)

B. \(T_0=π\)

C. \(T_0=3π\)

D. \(T_0=4π\)

A. \( {T_0} = 2\pi \)

B. \( {T_0} = \frac{\pi }{2}\)

C. \( {T_0} = \pi \)

D. \( {T_0} = 4\pi \)

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

B. \( \min y = \frac{3}{{1 + \sqrt 3 }};\max y = \frac{4}{{1 + \sqrt 2 }}\)

C. \( \min y = \frac{2}{{1 + \sqrt 3 }};\max y = \frac{3}{{1 + \sqrt 2 }}\)

D. \( \min y = \frac{3}{{1 + \sqrt 3 }};\max y = \frac{3}{{1 + \sqrt 2 }}\)

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. \( \min y = \frac{4}{3};\max y = 1\)

A. \( y = \frac{\pi }{3} + k\pi \left( {k \in Z} \right)\)

B. \(x=kπ(k∈Z)\)

C. \( x = \frac{\pi }{2} + k\pi \left( {k \in Z} \right)\)

D. \( y = \frac{{k\pi }}{2}\left( {k \in Z} \right)\)

A. y=cot⁡x

B. y=tan⁡x   

C. y=sin⁡x

D. y=cosx

A. Hàm số y=sin⁡x có chu kỳ T=π

B. Hàm số y=cos⁡x và hàm số y=tan⁡x có cùng chu kỳ

C. Hàm số y=cot⁡x và hàm số y=tan⁡x có cùng chu kỳ.

D. Hàm số y=cot⁡x có chu kỳ T=2π

A. miny=1;maxy=2

B. miny=1;maxy=3

C. miny=2;maxy=3

D. miny=−1;maxy=3

A. maxy=−2,miny=4

B. maxy=2,miny=4

C. maxy=−2,miny=3

D. maxy=4,miny=−2

A. \( y = \sin x.{\cos ^2}x + \tan x\)

B. \( y = \frac{{{\rm{cos}}2x}}{{{x^2}}}\)

C. \( y = \left| {\sin x - x} \right|\)

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

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

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

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

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

A. y=tan⁡x

B. y=cot⁡x

C. y=sin⁡x     

D. y=cosx

A. y=cos⁡x

B. y=sin⁡x

C. y=cot⁡x

D. y=tanx−1

A. \(O(0;0)\)

B. \(M(0;1)\)

C. \( N\left( {\frac{\pi }{2};0} \right)\)

D. \(P(1;0)\)

A. \( \left( { - \frac{\pi }{2};\frac{\pi }{2}} \right)\)

B. \( \left( { - \pi;\frac{\pi }{2}} \right)\)

C. \((0;π)\)

D. \(R\)

A. \( \left( {\frac{\pi }{2} + k2\pi ;\frac{{3\pi }}{2} + k2\pi } \right)\)

B. \( \left( { - \pi + k2\pi ;k2\pi } \right)\)

C. \(R\)

D. \( \left( {k2\pi ;\pi + k2\pi } \right)\)

A. y=tan⁡2x

B. y=cos2x

C. y=sin2x

D. y=−sinx

A. (−1;1)           

B. [−1;1]

C. R

D. [0;1]

A. [0;2].

B. [−2;2].           

C. R

D. [−1;1]

A. \( R \setminus \left\{ {k\pi ,k \in Z} \right\}\)

B. \( R \setminus \left\{ {\frac{{k\pi }}{2},k \in Z} \right\}\)

C. \( R \setminus \left\{ {\frac{\pi }{2} + k\pi ,k \in Z} \right\}\)

D. \(R\)

A. \( R \setminus \left\{ {k\pi ,k \in Z} \right\}\)

B. \( R \setminus \left\{ {\frac{{k\pi }}{2},k \in Z} \right\}\)

C. \( R \setminus \left\{ {\frac{\pi }{2} + k\pi ,k \in Z} \right\}\)

D. \(R\)

A. \(x \neq k 2 \pi\)

B. \(x \neq \frac{k \pi}{2}\)

C. \(x \neq \frac{\pi}{2}+k \pi\)

D. \(x \neq k \pi\)

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

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

C. \(D=R \backslash\{k \pi, k \in Z\}\)

D. \(D=R \backslash\{k 2 \pi, k \in Z\}\)

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

B. \(x \neq k \pi\)

C. \(x \neq k 2 \pi\)

D. \(x \neq \frac{\pi}{2}+k \pi\)

A. \(y_{\max }=1+2 \sqrt{2}\)

B. \(y_{\max }=3 \sqrt{3}\)

C. \(y_{\max }=2\)

D. \(y_{\max }=2 \sqrt{3}\)

A. \(\min\limits _{\left(0 ; \frac{\pi}{2}\right)} y=\frac{4}{3}\,\, khi \,\,x=\frac{\pi}{3}+k \pi, k \in \mathbb{Z}\)

B. \(\min\limits _{\left(0 ; \frac{\pi}{2}\right)} y=\frac{2}{3}\,\, khi \,\,x=\frac{\pi}{3}\)

C. \(\min\limits _{\left(0 ; \frac{\pi}{2}\right)} y=\frac{2}{3}\,\, khi \,\,x=\frac{\pi}{3}+k 2 \pi, k \in \mathbb{Z}\)

D. \(\min\limits _{\left(0 ; \frac{\pi}{2}\right)} y=\frac{4}{3}\,\, khi \,\,x=\frac{\pi}{3}\)

A. \(1+\frac{\sqrt{5}}{2}\)

B. \(\frac{\sqrt{22}}{2}\)

C. \(\frac{\sqrt{11}}{2}\)

D. \(1+\sqrt{5}\)

A. 0

B. \(\sqrt{2}\)

C. \(\sqrt[4]{2}\)

D. \(\sqrt{6}\)

A. \(\frac{9}{8}\)

B. \(\frac{5}{4}\)

C. 1

D. \(\frac{4}{3}\)

A. \(5-2 \sqrt{2}\)

B. \(5+2 \sqrt{2}\)

C. \(\sqrt{5+2 \sqrt{2}}\)

D. \(\sqrt{5-2 \sqrt{2}}\)

A. 0

B. \(3-2 \sqrt{3}\)

C. \(2-2 \sqrt{2}\)

D. -1

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

B. \(D=\mathbb{R} \backslash\left\{-\frac{k \pi}{2}, k \in \mathbb{Z}\right\}\)

C. \(D=\mathbb{R}\)

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

A. \(\left(k 2 \pi ; \frac{\pi}{2}+k 2 \pi\right)\)

B. \(\left(\pi+k 2 \pi ; \frac{3 \pi}{2}+k 2 \pi\right)\)

C. \(\left(\frac{\pi}{2}+k 2 \pi ; \pi+k 2 \pi\right)\)

D. \((\pi+k 2 \pi ; 2 \pi+k 2 \pi)\)

A. \(m=-1 ; M=\frac{1}{2}\)

B. \(m=-1 ; M=2\)

C. \(m=-\frac{1}{2} ; M=1\)

D. \(m=1 ; M=2\)

A. \(\min y=\frac{1}{3} ; \max y=96\)

B. \(\min y-\frac{1}{3} ; \max y=6\)

C. \(\min y=-\frac{1}{3} ; \max y=96\)

D. \(\min y=2 ; \max y=6\)

A. \(\min y=\frac{5-\sqrt{97}}{4}, \max y=\frac{5+\sqrt{97}}{4}\)

B. \(\min y=\frac{5-\sqrt{97}}{18}, \max y=\frac{5+\sqrt{97}}{18}\)

C. \(\min y=\frac{5-\sqrt{97}}{8}, \max y=\frac{5+\sqrt{97}}{8}\)

D. \(\min y=\frac{7-\sqrt{97}}{8}, \max y=\frac{7+\sqrt{97}}{8}\)

A. \(\min y=-2-\sqrt{5} ; \max y=-2+\sqrt{5}\)

B. \(\min y=-2-\sqrt{7} ; \max y=-2+\sqrt{7}\)

C. \(\min y=-2-\sqrt{3} ; \max y=-2+\sqrt{3}\)

D. \(\min y=-2-\sqrt{10} ; \max y=-2+\sqrt{10}\)

A. \(\min y=\frac{11-9 \sqrt{7}}{83} ; \max y=\frac{11+9 \sqrt{7}}{83}\)

B. \(\min y=\frac{22-9 \sqrt{7}}{11} ; \max y=\frac{22+9 \sqrt{7}}{11}\)

C. \(\min y=\frac{33-9 \sqrt{7}}{83} ; \max y=\frac{33+9 \sqrt{7}}{83}\)

D. \(\min y=\frac{22-9 \sqrt{7}}{83} ; \max y=\frac{22+9 \sqrt{7}}{83}\)

A. \(\min y=-\frac{2}{11} ; \max y=2\)

B. \(\min y=\frac{2}{11} ; \max y=3\)

C. \(\min y=\frac{2}{11} ; \max y=4\)

D. \(\min y=\frac{2}{11} ; \max y=2\)