f(x)=x^2+(lga+2)x+lgb,f(-1)=-2
f(-1)=1-(lga+2)+lgb=-2
①lga-lgb=1.lgb=lga-1
f(x)=x^2+(lga+2)x+lgb≥2x
x^2+(lga+2)x-2x+lgb≥0
x^2+(lga+2-2)x+lgb≥0
②lga^2-4lgb≥0
lga^2-4lga+4≥0
(lga-2)^2≥0.lga≥2=lg10(2)=lg100
當(dāng)lga=2時(shí)最小.lgb=2-1=1
f(x)=x^2+(lga+2)x+lgb
=x^2+4x+1
=x^2+4x+4-4+1=(x+2)^2-3
此時(shí)f(x)的最小值為-3
已知f(m)=㎡+(lga+2)x+lgb,f(-1)=-2.當(dāng)x∈R,f(x)≥2x恒成立,求實(shí)數(shù)a的值與f(x)的最小值.
已知f(m)=㎡+(lga+2)x+lgb,f(-1)=-2.當(dāng)x∈R,f(x)≥2x恒成立,求實(shí)數(shù)a的值與f(x)的最小值.
以上x為m
以上x為m
數(shù)學(xué)人氣:712 ℃時(shí)間:2019-08-26 07:32:14
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