函数y=sin(x+π/6)的递减区间是下列区间中,是函数y=sin(x+π/6)的递减区间的是( )A[π/2,2π/3] B[-π/2,π/2] C[-π,0] D[-2π/3,2π/3]下列区间中,是函数y=3sin(x+π/6)的递减区间的是( )A[π/2,2π/3
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![函数y=sin(x+π/6)的递减区间是下列区间中,是函数y=sin(x+π/6)的递减区间的是( )A[π/2,2π/3] B[-π/2,π/2] C[-π,0] D[-2π/3,2π/3]下列区间中,是函数y=3sin(x+π/6)的递减区间的是( )A[π/2,2π/3](/uploads/image/z/8502541-61-1.jpg?t=%E5%87%BD%E6%95%B0y%3Dsin%28x%2B%CF%80%2F6%29%E7%9A%84%E9%80%92%E5%87%8F%E5%8C%BA%E9%97%B4%E6%98%AF%E4%B8%8B%E5%88%97%E5%8C%BA%E9%97%B4%E4%B8%AD%2C%E6%98%AF%E5%87%BD%E6%95%B0y%3Dsin%28x%2B%CF%80%2F6%29%E7%9A%84%E9%80%92%E5%87%8F%E5%8C%BA%E9%97%B4%E7%9A%84%E6%98%AF%EF%BC%88++++%EF%BC%89A%5B%CF%80%2F2%2C2%CF%80%2F3%5D++++B%5B-%CF%80%2F2%2C%CF%80%2F2%5D++++C%5B-%CF%80%2C0%5D+++D%5B-2%CF%80%2F3%2C2%CF%80%2F3%5D%E4%B8%8B%E5%88%97%E5%8C%BA%E9%97%B4%E4%B8%AD%EF%BC%8C%E6%98%AF%E5%87%BD%E6%95%B0y%3D3sin%28x%2B%CF%80%2F6%29%E7%9A%84%E9%80%92%E5%87%8F%E5%8C%BA%E9%97%B4%E7%9A%84%E6%98%AF%EF%BC%88++++%EF%BC%89A%5B%CF%80%2F2%2C2%CF%80%2F3)
函数y=sin(x+π/6)的递减区间是下列区间中,是函数y=sin(x+π/6)的递减区间的是( )A[π/2,2π/3] B[-π/2,π/2] C[-π,0] D[-2π/3,2π/3]下列区间中,是函数y=3sin(x+π/6)的递减区间的是( )A[π/2,2π/3
函数y=sin(x+π/6)的递减区间是
下列区间中,是函数y=sin(x+π/6)的递减区间的是( )
A[π/2,2π/3] B[-π/2,π/2] C[-π,0] D[-2π/3,2π/3]
下列区间中,是函数y=3sin(x+π/6)的递减区间的是( )
A[π/2,2π/3] B[-π/2,π/2] C[-π,0] D[-2π/3,2π/3]
(上面弄错了)
函数y=sin(x+π/6)的递减区间是下列区间中,是函数y=sin(x+π/6)的递减区间的是( )A[π/2,2π/3] B[-π/2,π/2] C[-π,0] D[-2π/3,2π/3]下列区间中,是函数y=3sin(x+π/6)的递减区间的是( )A[π/2,2π/3
y=sinx的递减区间为[2kπ+π/2,2kπ+3π/2]
所以 y=3sin(x+π/6)的递减区间为[2kπ+π/3,2kπ+4π/3]
当k=0 递减区间为[π/3,4π/3] A 中[π/2,2π/3] 在递减区间
所以选 A
y=sinx的递减区间为 (π2+2kπ,3π2+2kπ),
所以 y=3sin(x+π6)的递减区间为 (π3+2kπ,4π3+2kπ),
其中 [π3,2π3]⊂[π3+2kπ,4π3+2kπ],
(1)、2kπ+π/2<=x+π/6<=2kπ+3π/2,其中k是整数,是y的一个减区间则
解得:2kπ+π/3<=x<=2kπ+4π/3
当k=0时,减区间为:π/3<=x<=4π/3
又A是该区间的一个子区间,故选A
好深奥