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任意角三角函数的概念

> 已知函数 f(x)=sinx(cosx- 3 sinx)．（I）求函数f（x）的最小正周期；（II）将函数y=sin2x的图象向左平移 a(0＜a＜ π 2 )个单位，向下平移b个单位，得到函数y=f（x）的图象，求ab的值；（Ⅲ）求函数f（x）在 [0， π 2 ]上的值域．

问题：

发布时间：2024-09-13

已知函数 f(x)=sinx(cosx-

3

sinx)．
（I）求函数f（x）的最小正周期；
（II）将函数y=sin2x的图象向左平移 a(0＜a＜

π

2

)个单位，向下平移b个单位，得到函数y=f（x）的图象，求ab的值；
（Ⅲ）求函数f（x）在 [0，

π

2

]上的值域．

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已知函数 f(x)=sinx(cosx- 3 sinx)． （I）求函数f（x）的最小正周期； （II）将函数y=sin2x的图象向左平移 a(0＜a＜ π 2 )个单位，向下平移b个单位，得到函数y=f（x）的图象，求ab的值； （Ⅲ）求函数f（x）在 [0， π 2 ]上的值域．

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