已知a:b=3/2:b:c=0.75:1/2，那么c:a=_______(写成最简整数比).

1、 ∵a+b+c=3 ∴(a+b+c)2=32 即a2+b2+c2+2ab+2bc+2ca=9 ∵a2+b2+c2=3 ∴2ab+2bc+2ca=6 ∵a2+b2+c2=3 ∴2a2+2b2+2c2=6 即2a2+2b2+2c2=2ab+2bc+2ca (a2-2ab+b2)+(b2-2bc+c2)+(c2-2ca+a2)=0 (a-b)2+(b-c)2+(c-a)2=0 ∴a-b=0,b-c=0,c-a=0 即a=b=c ∵a+b+c=3 ∴a=b=c=1 ∴a^2014+b^20145+c^201