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来源:学生作业帮助网 编辑:六六作业网 时间:2024/11/17 11:35:11
xxxx<5/4===>5-4x>0y=4x-2+1/(4x-5)=4x-5+1/(4x-5)+3=-[5-4x+1/(5-4x)]+35-4x+1/(5-4x)>=2√(5-4x)*1/(5-4x2
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x<5/4 ===>5-4x>0
y=4x-2+1/(4x-5)
=4x-5+1/(4x-5)+3
=-[5-4x+1/(5-4x)]+3
5-4x+1/(5-4x)>=2√(5-4x)*1/(5-4x2)=2 (当且仅当5-4x=1/(5-4x)取到等号)
ymax=-2+3=1