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ֵص֮һ.Ҫֵĸַúֵ.

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()mM={m|m>1},f(x)=log3(x2-4mx+4m2+m+ ).

(1)CmMrf(x);֮f(x)xmM.

(2)mMrf(x)Сֵ.

(3)CÿmM,f(x)СֵС1.

̽

[1]һҪ4840 cm2,Ŀߵ\(<1),ϡT8 cmĿհףҸ5 cmհף_ĸ\ʹֽ?Ҫˡ[ ]ôֵrʹС?

DҪ齨ϵʽСֵͬrW֪RQـ?

֪RУҪLvСֵȻ֪?

CS()[ ]ϵĵβbDֵ.

뷽Ӧ⣬ؼWģͣDֵ.

x cm,x cm,x2=4840,S cm2,S=(x+16)(x+10)=x2+(16+10)x+160,x= ʽãS=5000+44 (8 + ),8 = ,= <1)rSȡСֵ.r]x= =88 cm,x= ×88=55 cm.

ˡ[ ] ܦ1<2 ,S\ʽã

,8- >0,

S(1)-S(2)<0,S()[ ]ԑ.

ӓˡ[ ],= rS()ȡСֵ.

w88 cm,55 cmrС.Ҫˡ[ ],= rС.

[2]֪f(x)= ,x[1,+ (1)a= rf(x)Сֵ.

(2)x[1,+ ,f(x)>0aȡֵ.

DҪ麯СֵԼWۺsQـ?

֪RУҪͨf(x)ֵaȡֵD˼۵˼.

׿ǰaȡֵDֵ.

뷽ⷨһD˼f(x)>0Dxβʽ;ⷨ÷?

(1)⣺a= rf(x)=x+ +2

f(x)[1+

f(x)[1+ ϵСֵf(1)= .

(2)ⷨһ[1+ ϣf(x)= >0 x2+2x+a>0.

y=x2+2x+a,x[1,+ y=x2+2x+a=(x+1)2+a-1

൱x=1rymin=3+a,tymin=3+a>0rf(x)>0a>-3.

ⷨf(x)=x+ +2,x[1,+ a0rf(x)ֵ;

a<0rf(x)x=1rf(x)min=3+a,

tf(x)min=3+a>0rf(x)>0a>-3.

Ӗ漰⼰ķҪУ

(1)ֵ

Ҫֵij÷䷽Է̓Ԫ?ʲôֵ}ӛ?

(2)ۺĿ

Ҫ麯ֵԡvһЩ֪ʔ?

ҪsߵW˼Sۺs.VۺԻoصuӛ?

(3)úֵ

ؼǰDӶѧ֪ʶ?ҪнķWģ.


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