f(x)=-x^2-ax+3
=-(x+a/2)^2+3+a^2/4
對稱軸為x=-a/2,x^2項系數(shù)=-1<0,f(x)圖像開口向下,x<=-a/2時,函數(shù)為增函數(shù).
則-a/2<=-1
a>=2
由第一問解答,得x=-a/2為函數(shù)對稱軸,f(x)在(負無窮,-a/2)上為增函數(shù)
已知函數(shù)f(x)=-x平方-ax+3在區(qū)間(負無窮,-1]上是增函數(shù)
已知函數(shù)f(x)=-x平方-ax+3在區(qū)間(負無窮,-1]上是增函數(shù)
(1)求a的取值范圍.(2)證明f(x)在(負無窮,-a/2)上為增函數(shù)
(1)求a的取值范圍.(2)證明f(x)在(負無窮,-a/2)上為增函數(shù)
數(shù)學人氣:274 ℃時間:2020-10-01 23:56:16
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