1】當(dāng)-π/2小于等于x小于等于π/2時(shí),f(x)=sin x+√3cos x的最大值是?最小值是?
注：√3就是根號(hào)下3
2】已知函數(shù)f(x)=(sinx-cosx)sinx,則f(x)的最小正周期是?
3】y=2sin(2x+π/6),x∈〔-π,0)的單調(diào)遞減區(qū)間是?
4】已知函數(shù)f(x)=2asin²x-2√3asinxcosx+b的定義域?yàn)閇0,π/2],值域?yàn)閇-5,1],求常數(shù)a、b的值.
5】已知函數(shù)f(x)=cos(2x-π/3)+2sin(x-π/4)sin(x+π/4)
①求函數(shù)f(x)的最小正周期和圖像的對(duì)稱軸方程
②求函數(shù)f(x)在區(qū)間[-π/12,π/2]上的值域