當x屬於(π/2,π)時,wx+π/4屬於(wπ/2+π/4,wπ+π/4)
函數f(x)=sin(ωx+π/4)在(π/2,π)上單調遞減
故:2kπ+π/2《wπ/2+π/4
wπ+π/4《2kπ+3π/2
得到4k+1/2《w《2k+5/4
故4k+1/2《2k+5/4
k《3/8
k=0
得到1/2《w《5/4
若滿意請采納!!謝謝
當x屬於(π/2,π)時,wx+π/4屬於(wπ/2+π/4,wπ+π/4)
函數f(x)=sin(ωx+π/4)在(π/2,π)上單調遞減
故:2kπ+π/2《wπ/2+π/4
wπ+π/4《2kπ+3π/2
得到4k+1/2《w《2k+5/4
故4k+1/2《2k+5/4
k《3/8
k=0
得到1/2《w《5/4
若滿意請采納!!謝謝