共50条信息
将函数\(y{=}2\sin(2x{+}\dfrac{\pi}{6})\)的图象向右平移\(\dfrac{1}{4}\)个单位后,所得图象对应的函数为\((\) \()\)
函数\(y=2\sin \left( 3x\mathrm{{-}}\dfrac{\pi}{3} \right)\)的最小正周期为____\(.\)
已知函数\(f\left(x\right)=\sin \left(wx+φ\right)\left(w > 0,\left|φ\right| < \dfrac{π}{2}\right) \)的最小正周期为\(6π \),且其图象向右平移\(\dfrac{2π}{3} \)个单位后得到函数\(g\left(x\right)=\sin wx \)的图象,则\(φ \)等于\((\) \()\)
\((2)\)若\(x∈\)\(\left[ \left. 0, \dfrac{π}{2} \right. \right]\),且\(f(x)=0\),求\(x\)的值.
已知函数\(f(x)=\sin (\omega x+\varphi )\),\((A > 0,\omega > 0,\left| \varphi \right| < \dfrac{\pi }{2})\)满足\(f(x+\dfrac{\pi }{2})=-f(x-\dfrac{\pi }{2})\),且\(f(\dfrac{\pi }{6}+x)=f(\dfrac{\pi }{6}-x)\),则\(f(x)\)的解析式为
已知函数\(f(x)=A\sin (ωx+φ)(A > 0,w > 0,\left|φ\right| < \dfrac{π}{2}) \)的部分图像如图所示,则当\(x∈[0, \dfrac{π}{2}] \)时,满足\(f(x)=1\)的\(x\)的值为
函数\(y=A\sin (\omega x+\phi )(\omega > 0,\left| \phi \right| < \dfrac{\pi }{2},x\in R)\)的部分图象如图所示,则函数表达式( )
已知函数\(f\left( x \right)={\cos }\left( \omega x-\dfrac{\omega \pi }{6} \right)(\omega > 0)\)的最小正周期为\(\pi \),则函数\(f\left( x \right)\)的图象( )
将函数\(f(x)=\sin \omega x(\omega > 0)\)的图象向右平移\(\dfrac{\pi }{12}\)个单位长度得到函数\(y=g(x)\)的图象,若\(\dfrac{\pi }{3}\)为\(g(x)\)的一个极值点,则实数\(\omega \)的最小值为
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