With apologies, you admit to doing something to upset another person. 如果你做出道歉，那就表示你承认自己做了某些打搅到别人的事。
Apologies can be informal:
Sorry一词比较口语，多用于非正式化的道歉，例如：
I am sorry that I was late. 对不起我迟到了。
I shouldn't have done that. Sorry, I'll never do it again. 我不该做出那种事的。对不起，以后不会了。
Apologies can be formal:
Apology(名词)以及apologize(动词)常用于正式化的道歉，例如：
I do apologize for this interruption, Mr Jones. 很抱歉打断你了，琼斯先生。
Mr Jones sends his apologies for not attending the meeting. 琼斯先生为不能出席会议致歉。
Things to say with apologies:
①解释原因：
We apologize for the delay, which has been caused by a traffic jam. 很抱歉，我们因为堵车而延误了时间。
I'm sorry about my homework, Ms Li, the dog ate it. 李老师，对不起我没交作业，它被狗吃掉了。
② 表示并非有意而为之：
I'm sorry. I didn't mean to wake you up. 对不起，我不是故意吵醒你的。
可以用提问的方式：
Oh, I'm so sorry. Are you ok? 噢对不起，你没事吧？
Sorry I'm late. Were you waiting long? 对不起我来晚了，等很久了吗？
也可以用感叹句：
Oh no! I do apologize. Let me help you pick it up. 噢不！非常抱歉，我帮你捡起来吧。
③ 插入一些词加强道歉的语气：
I'm sorry。
I'm very sorry。
I'm really very sorry。
I'm really so very sorry。
I'm really so very sorry indeed。
I apologize。
I do apologize。
I do most sincerely apologize。
I do most sincerely and abjectly apologize。
Excuse me
We say Sorry because we feel bad that someone is upset. We Excuse me if we think we are about to upset someone. 因为打搅到别人而难过，我们说Sorry;因为将要打搅到别人，我们说Excuse me。例如：
Excuse me, do you have the time? 对不起，能占用你一点时间吗？
另外可以用please来加强语气，例如：
Excuse me please, I need to get off. 对不起(让一下)，我要下车。
* 这里要说明下，在Sorry和Excuse me的使用上，英英和美英是有区别的：
英国人很喜欢用Sorry，所以有时他们会用Sorry代替Excuse me，例如：I'm sorry, but do you think you could move your car?
而美语中则可以用Excuse me表示Sorry的意思，例如：Excuse me, I didn't see you there。