Hi,there.
''对象''has several meanings.There are some example as follow:
1.他的大脸使他成为被嘲笑的对象。(His big face makes him the target of their jokes.)
In this context,对象means "target"or"object".
Let me tell you how to know it better.
研究对象 object of study
面向对象的 object oriented
2.Mum:你该找个对象了。(You should make a girlfriend/boyfriend.)
Li:好啦,好啦,我知道了。(All right,all right,I understand.)
In this situation,对象means "boyfriend"or"girlfriend"or"the one you love".
Now,I will show you something about "对方".
1.他们深爱着对方。(They love each other deeply.)
他们站在那,互相怒视着对方。(They stood there, glaring at each other.)
In this case,"对方"means "each other ".This is one of the most common uses.
2.贝克汉姆想要进球的努力被对方的守门员挫败了。(Beckham's efforts to score was frustrated by the opposing goalkeeper.)
无论是对你还是对对方,这都是一个挑战。(This is a challenge ,both for you and for the others.)
In this condition,"对方"means"the other side" or " the opposite side" or " the other party ".
Ok,having done this now.Hope it can help you.