解:a-b=3, b-c= -2 a-c=1a的平方+b的平方+c的平方-ab-bc-ca =a^2+b^2+c^2-ab-bc-ca=1/2【2a^2+2b^2+2c^2-2ab-2bc-2ca+3】-3/2=1/ 2【(a-b)^2+(b-c)^2+(b-c)^2】-3/2=1/2【3^2+(-2)^2+1^2】-3/2=1/2【9+4+1】-3/2=7-3/2=11/2祝你学习进步!