2013ɿѧѵ
ֵǽ߿ص֮һ.ҪֵĸַúֵʵӦ.
ѵų
()mʵM={m|m>1},f(x)=log3(x2-4mx+4m2+m+ ).
(1)֤mMʱf(x)ʵ;֮f(x)ʵx壬mM.
(2)mMʱf(x)Сֵ.
(3)֤ÿmM,f(x)СֵС1.
ĵԡżǸ߿ص֮һ.ҪżԡԵĶ壬жȷʶżͼ.
ѵų
()a>0,f(x)= Rϵż(1)aֵ;(2)֤ f(x)(0+).
ĵԡżǸ߿صȵ֮һرʵӦøͻ.Ҫѧʽ⣬ջγӦʶ.
ѵų
()֪żf(x)(0+)Ϊf(2)=0,ⲻʽf[log2(x2+5x+4)]0.
̽
[1]֪溯f(x)Ƕ(-33)ϵļ㲻ʽf(x-3)+f(x2-3)<0,費ʽ⼯ΪAB=A{x|1x },g(x)=-3x2+3x-4(xB)ֵ.
ָǸ߿ص֮һҪֺĸͼʲȥijЩʵ.
ѵųת
()f(x)=log2 ,F(x)= +f(x).
(1)жϺf(x)ĵԣúԶ壬֤;
(2)f(x)ķΪf-1(x),֤Ȼn(n3),f-1(n)> ;
(3)F(x)ķF-1(x),֤F-1(x)=0Ωһ.
ͼǸ߿ص֮һоͼ亯ʵֱ۹ߣֱԽ⣬ΪΪ.ˣҪջƺͼһ㷽պͼ仯һɣúͼо.
ѵų
()֪f(x)=ax3+bx2+cx+dͼͼbķΧ.
ۺ߿ȵص֮һһѶȽϴݺʽ.ڿҪйغ֪ʶĻϽһۺ֪ʶջ⼼ɺͷ˼άʹ.
ѵų
()躯f(x)ĶΪRʵxyf(x+y)=f(x)+f(y),x>0ʱf(x)<0f(3)=-4.
(1)֤f(x)Ϊ溯;
(2)[-99]ϣf(x)ֵ.
Ƽţ
2013ɸ߸ѧ½ڸϰ
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