已知f(x)=x^2+(lga+2)x+lgb,且f(-1)=-2
f(-1)=1-(lga+2)+lgb=lgb-lga-1=-2
lga-lgb=1,a=10b,lgb=lga-1
对一切实数x,f(x)≥2x恒成立,即f(x)-2x≥0
x^2+(lga+2)x+(lga-1)-2x ≥ 0
x^2+(lga)x+(lga-1) ≥ 0
必有Δ
已知f(x)=x^2+(lga+2)x+lgb,且f(-1)=-2
f(-1)=1-(lga+2)+lgb=lgb-lga-1=-2
lga-lgb=1,a=10b,lgb=lga-1
对一切实数x,f(x)≥2x恒成立,即f(x)-2x≥0
x^2+(lga+2)x+(lga-1)-2x ≥ 0
x^2+(lga)x+(lga-1) ≥ 0
必有Δ