A.\(\left[ {\begin{array}{*{20}{c}}{x = \frac{{k\pi }}{2}}\\{x = \pm \frac{1}{2}arccos( - \frac{1}{6}) + k\pi }\end{array}} \right.(k \in Z)\)
B. \(\left[ {\begin{array}{*{20}{c}}{x = \frac{{k\pi }}{2}}\\{x = \pm \frac{5}{2}arccos( - \frac{1}{6}) + k\pi }\end{array}} \right.(k \in Z)\)
C. \(\left[ {\begin{array}{*{20}{c}}{x = \frac{{k\pi }}{2}}\\{x = \pm \frac{1}{2}arccos( - \frac{1}{3}) + k\pi }\end{array}} \right.(k \in Z)\)
D. \(\left[ {\begin{array}{*{20}{c}}{x = \frac{{k\pi }}{2}}\\{x = \pm \frac{1}{3}arccos( - \frac{1}{6}) + k\pi }\end{array}} \right.(k \in Z)\)
A.\(\left\{ {\begin{array}{*{20}{c}}{x = \frac{\pi }{6} + k2\pi }\\{y = - \frac{\pi }{6} + k2\pi }\end{array}} \right.(k \in Z)\)
B. \(\left\{ {\begin{array}{*{20}{c}}{x = \frac{{2\pi }}{3} + k2\pi }\\{y = \frac{\pi }{3} - k2\pi }\end{array}} \right.(k \in Z)\)
C. \(\left\{ {\begin{array}{*{20}{c}}{x = \frac{{2\pi }}{3} + k2\pi }\\{y = \frac{\pi }{3} + k2\pi }\end{array}} \right.(k \in Z)\)
D. \(\left\{ {\begin{array}{*{20}{c}}{x = \frac{\pi }{6} + k2\pi }\\{y = \frac{\pi }{6} + k2\pi }\end{array}} \right.(k \in Z)\)
A.\(\left[ {\begin{array}{*{20}{c}}{x = \frac{\pi }{3} + k\pi }\\{x = \frac{\pi }{6} + k\pi }\end{array}} \right.(k \in Z)\)
B. \(\left[ {\begin{array}{*{20}{c}}{x = \frac{\pi }{3} + k2\pi }\\{x = \frac{\pi }{6} + k2\pi }\end{array}} \right.(k \in Z)\)
C. \(\left[ {\begin{array}{*{20}{c}}{x = - \frac{\pi }{3} + k\pi }\\{x = - \frac{\pi }{6} + k\pi }\end{array}} \right.(k \in Z)\)
D. \(\left[ {\begin{array}{*{20}{c}}{x = - \frac{\pi }{3} + k2\pi }\\{x = \frac{\pi }{6} + k\pi }\end{array}} \right.(k \in Z)\)
A.\[x = \pm \frac{\pi }{6} + k\pi \,\,\left( {k \in Z} \right)\]
B. \[x = \pm \frac{\pi }{6} + k2\pi \,\,\left( {k \in Z} \right)\]
C. \[x = \pm \frac{\pi }{3} + k\pi \,\,\left( {k \in Z} \right)\]
D. \(\left[ {\begin{array}{*{20}{c}}{x = \frac{\pi }{6} + k\pi \,\,\left( {k \in Z} \right)}\\{x = \frac{\pi }{3} + k\pi \,\,\left( {k \in Z} \right)}\end{array}} \right.\)
A.\[x = - \frac{\pi }{6} + k2\pi \,\,\,\left( {k \in Z} \right)\]
B. \[x = \frac{\pi }{6} + \frac{{k2\pi }}{3}\,\,\,\left( {k \in Z} \right)\]
C. \[x = - \frac{\pi }{6} + \frac{{k2\pi }}{3}\,\,\,\left( {k \in Z} \right)\]
D. \[x = \pm \frac{\pi }{6} + \frac{{k2\pi }}{3}\,\,\,\left( {k \in Z} \right)\]
A.0
B.1
C.2
D.4
A.\(\left[ {\begin{array}{*{20}{c}}{x = k\pi }\\{x = \frac{\pi }{3} + k\pi }\end{array}} \right.(k \in \mathbb{Z})\)
B. \(\left[ {\begin{array}{*{20}{c}}{x = k\pi }\\{x = \frac{{2\pi }}{3} + k2\pi }\end{array}} \right.(k \in \mathbb{Z})\)
C. \(\left[ {\begin{array}{*{20}{c}}{x = k2\pi }\\{x = \frac{{2\pi }}{3} + k2\pi }\end{array}} \right.(k \in \mathbb{Z})\)
D. \(\left[ {\begin{array}{*{20}{c}}{x = k\pi }\\{x = \frac{{2\pi }}{3} + k\pi }\end{array}} \right.(k \in \mathbb{Z})\)
A.m=1
B.Không có m
C.m=0
D.Với mọi m
A.Có 1 họ nghiệm
B.Có 2 họ nghiệm
C.Vô nghiệm
D.Có 1 nghiệm duy nhất
A.0
B.1
C.2
D.3
A.\[ - \frac{{5{\pi ^2}}}{{12}}\]
B. \[ - \frac{{5{\pi ^2}}}{{144}}\]
C. \[\frac{{5{\pi ^2}}}{{144}}\]
D. \[\frac{{{\pi ^2}}}{{12}}\]
A.\[\frac{{3\pi }}{5}\]
B. \[\frac{{29\pi }}{{30}}\]
C. \[\frac{{5\pi }}{6}\]
D. \[\frac{{23\pi }}{{30}}\]
A.\[x = k\pi \,\,\left( {k \in \mathbb{Z}} \right)\]
B. \[x = \frac{\pi }{2} + k\pi \,\,\left( {k \in \mathbb{Z}} \right)\]
C. \[x = \frac{\pi }{6} + k2\pi \,\,\left( {k \in \mathbb{Z}} \right)\]
D. Tất cả đều đúng.
A.\(\left[ {\begin{array}{*{20}{c}}{x = \frac{\pi }{2} + k\pi }\\{x = \frac{\pi }{6} + k\pi }\end{array}} \right.(k \in Z)\)
B. \(\left[ {\begin{array}{*{20}{c}}{x = \frac{\pi }{4} + k\pi }\\{x = \frac{\pi }{3} + k\pi }\end{array}} \right.(k \in Z)\)
C. \(\left[ {\begin{array}{*{20}{c}}{x = \frac{\pi }{8} + k2\pi }\\{x = \frac{\pi }{{12}} + k2\pi }\end{array}} \right.(k \in Z)\)
D. \(\left[ {\begin{array}{*{20}{c}}{x = \frac{\pi }{8} + k\pi }\\{x = \frac{\pi }{{12}} + k\pi }\end{array}} \right.(k \in Z)\)
A.Ba nghiệm
B.Một nghiệm
C.Hai nghiệm
D.Bốn nghiệm
A.0
B.1
C.2
D.3
A.9
B.3
C.6
D.7
A.\[m \ne \frac{1}{2}\]
B. \[m = \frac{1}{2}\]
C. \(\left\{ {\begin{array}{*{20}{c}}{\frac{1}{3} < m < 1}\\{m \ne \frac{1}{2}}\end{array}} \right.\)
</>
D. \[\frac{1}{3} < m < 1\]
</>
A.\[x = \frac{\pi }{9} + \frac{{k2\pi }}{3};\left( {k \in \mathbb{Z}} \right)\]
B. \[x = \frac{\pi }{{18}} + \frac{{k\pi }}{6};\left( {k \in \mathbb{Z}} \right)\]
C. \[x = \pm \frac{\pi }{6} + \frac{{k\pi }}{2}\,\,\left( {k \in \mathbb{Z}} \right)\]
D. \[x = \frac{\pi }{{18}} + \frac{{k\pi }}{3};\,\,x = - \frac{\pi }{6} + \frac{{k\pi }}{2}\,\,\left( {k \in \mathbb{Z}} \right)\]
A.\[x = - \frac{\pi }{4} + k\pi ;\,\,x = \frac{\pi }{6} + k2\pi ;x = \frac{{5\pi }}{6} + k2\pi ;\,\,x = - \frac{\pi }{2} + k2\pi \left( {k \in \mathbb{Z}} \right)\]
B. \[x = \frac{\pi }{4} + k2\pi ;\,\,x = - \frac{\pi }{6} + k2\pi ;x = \frac{{5\pi }}{6} + k\pi ;\,\,x = - \frac{\pi }{2} + k\pi \left( {k \in \mathbb{Z}} \right)\]
C. \[x = \pm \frac{\pi }{6} + k2\pi ;x = \frac{{5\pi }}{6} + k2\pi ;\,\,x = - \frac{\pi }{2} + k2\pi \left( {k \in \mathbb{Z}} \right)\]
D. \[x = - \frac{\pi }{8} + k\pi ;\,\,x = \frac{\pi }{6} + k\pi ;x = - \frac{{5\pi }}{6} + \frac{{k\pi }}{6};\,\,x = - \frac{\pi }{2} + \frac{{k\pi }}{6}\left( {k \in \mathbb{Z}} \right)\]
A.\[x = k\pi \,\,\left( {k \in \mathbb{Z}} \right)\]
B. \[x = \frac{{2\pi }}{3} + 2k\pi \,\,\left( {k \in \mathbb{Z}} \right)\]
C. \[x = \frac{\pi }{3} + 2k\pi \,\,\left( {k \in \mathbb{Z}} \right)\]
D. \[x = \frac{{k\pi }}{3}\,\,\left( {k \in \mathbb{Z}} \right)\]
A. Vô nghiệm
B. hoặc
C.
D.
A.\[x = \frac{{n\pi }}{2};\,\,x = \frac{\pi }{{20}} + \frac{{k\pi }}{{13}}\,\,\left( {k,\,\,n \in \mathbb{Z}} \right)\]
B. \[x = n\pi ;\,\,x = \frac{\pi }{{20}} + \frac{{k\pi }}{{10}}\,\,\left( {k,\,\,n \in \mathbb{Z}} \right)\]
C. \[x = n\pi ;\,\,x = \frac{{3\pi }}{5} + \frac{{2k\pi }}{7}\,\,\left( {k,\,\,n \in \mathbb{Z}} \right)\]
D. \[x = n\pi ;\,\,x = \frac{{3\pi }}{5} + \frac{{7k\pi }}{{13}}\,\,\left( {k,\,\,n \in \mathbb{Z}} \right)\]
A.\[x = - \frac{\pi }{6} + \frac{{k\pi }}{2};\,\,x = \frac{\pi }{{12}} + \frac{{k\pi }}{2}\,\,\left( {k \in \mathbb{Z}} \right)\]
B. \[x = \frac{\pi }{{12}} + \frac{{k\pi }}{4}\,\,\left( {k \in \mathbb{Z}} \right)\]
C. \[x = \pm \frac{\pi }{6} + k\pi ;\,\,x = - \frac{\pi }{{12}} + \frac{{k\pi }}{2}\,\,\left( {k \in \mathbb{Z}} \right)\]
A.\[x = \pm \frac{\pi }{3} + k2\pi ;\,\,x = \frac{{2\pi }}{3} + k2\pi \,\,\left( {k \in \mathbb{Z}} \right)\]
B. \[x = \frac{\pi }{4} + k\pi ;\,\,x = \frac{\pi }{6} + k\pi \,\,\left( {k \in \mathbb{Z}} \right)\]
C. \[x = k\pi ;\,\,x = \frac{\pi }{3} + k2\pi ;\,\,x = \frac{{2\pi }}{3} + k2\pi \,\,\left( {k \in \mathbb{Z}} \right)\]
D. \[x = \frac{\pi }{2} + k\pi ;\,\,x = \frac{\pi }{6} + \frac{{k\pi }}{3}\,\,\left( {k \in \mathbb{Z}} \right)\]
A.\[x = \frac{{k\pi }}{{18}};\,\,x = \frac{{k\pi }}{{22}}\,\,\left( {k \in \mathbb{Z}} \right)\]
B. \[x = \frac{{k\pi }}{9};\,\,x = \frac{\pi }{{44}} + \frac{{k\pi }}{{22}}\,\,\left( {k \in \mathbb{Z}} \right)\]
C. \[x = \frac{\pi }{3} + \frac{{k\pi }}{{18}};\,\,x = \frac{\pi }{{22}} + \frac{{k\pi }}{{22}}\,\,\left( {k \in \mathbb{Z}} \right)\]
D. \[x = \frac{{k\pi }}{3};\,\,x = \frac{\pi }{{44}} + \frac{{k\pi }}{{44}}\,\,\left( {k \in \mathbb{Z}} \right)\]
A.\[x = k\pi ,x = \frac{\pi }{6} + \frac{{k\pi }}{3},x = \frac{\pi }{{12}} + k\pi ,x = \frac{{5\pi }}{7} + k\pi \]
B. \[x = k2\pi ,x = \frac{{7\pi }}{6} + k2\pi ,x = - \frac{\pi }{6} + k2\pi ,x = \frac{{7\pi }}{6} + k2\pi \]
C. \[x = k\pi ,x = \frac{\pi }{3} + \frac{{k2\pi }}{3},x = \frac{\pi }{{12}} + k\pi ,x = \frac{{5\pi }}{{12}} + k\pi \]
D. \[x = k2\pi ,x = \frac{\pi }{6} + \frac{{k2\pi }}{3},x = \frac{\pi }{{12}} + k\pi ,x = \frac{{7\pi }}{{12}} + k\pi \]
A.\[x = \frac{\pi }{2} + k\pi ,x = \pm \frac{1}{5}\arccos \frac{{1 + \sqrt {17} }}{8} + k\pi ,x = \pm \frac{1}{5}\arccos \frac{{1 - \sqrt {17} }}{8} + k\pi \]
B. \[x = \pm \frac{\pi }{6} + k\pi \]
C. \[x = \pm \frac{1}{2}\arccos \frac{{1 + \sqrt {15} }}{7} + k\pi ,x = \pm \frac{1}{2}\arccos \frac{{1 - \sqrt {15} }}{7} + k\pi \]
D. \[x = \frac{\pi }{2} + k\pi ,x = \pm \frac{1}{2}\arccos \frac{{1 + \sqrt {17} }}{8} + k\pi ,x = \pm \frac{1}{2}\arccos \frac{{1 - \sqrt {17} }}{8} + k\pi \]
Số vị trí biểu diễn các nghiệm của phương trình 4sin2 x − 4sinx – 3 = 0 trên đường tròn lượng giác là:
A. 0
B. 1
C. 2
A. Có 1 họ nghiệm
B. Có 2 họ nghiệm
C. Vô nghiệm
Số vị trí biểu diễn nghiệm của phương trình trên đường tròn lượng giác là:
A. 0
B. 1
C. 2
Các giá trị nguyên dương nhỏ hơn 5 của m để phương trình có nghiệm có tổng là:
A. 9
B. 3
C. 6
Gọi m, M lần lượt là GTNN và GTLN của hàm số . Khi đó giá trị của biểu thức m + M bằng
A.
B.
C. 5
D.
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