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230问答网 > 已知y=2sin(2x-π⼀4),求最小正周期，单调减区间，最小值和对称轴方程。

已知y=2sin(2x-π⼀4),求最小正周期，单调减区间，最小值和对称轴方程。

要详细的过程

2025-04-07 11:40:52

推荐回答（1个）

回答1：

T=2π/2=π

递减则2kπ+π/2<2x-π/4<2kπ+3π/2
kπ+3π/8减区间(kπ+3π/8，kπ+7π/8)

最小是-2

对称轴则sin(2x-π/4)=±1
2x-π/4=kπ+π/2
x=kπ/2+3π/8

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