if you are good at math,please…

问题描述:

if you are good at math,please…
1.a,b,c都为正数,满足c/(a+b)<a/(b+c)<b/(c+a),求a,b,c的大小关系.2.实数a,b,c满足条件a+b+c=9,求代数式(a-b)+(c-b)+(c-a)的最大值

c/(a+b)c(b+c)a^2-c^2+ab-bc>0-->(a-c)(a+b+c)>0-->a>c a/(b+c)a(a+c)b^2-a^2+bc-ac>0-->(b-a)(a+b+c)>0-->b>a b>a>c (a-b)^2+(c-b)^2+(c-a)^2=2(a^2+b^2+c^2-ab-bc-ca)=2(9-ab-bc-ca) 9=a^2+b^2+c^2>=-(ab+bc+ca)--...