1.on the basis of 根据，在……的基础上
例句:
Our trade is conducted on the basis of equality.
我们是在平等的基础上进行贸易。
2.for the better 好转,向好的方向发展
例句：
I trust that things will take a turn for the better in the near future.
我期待着在不久的将来事情会有所转机。
3.on board 在船(车、飞机)上
例句：
We went on board Athens yesterday morning.
我们昨天早晨登上雅典号。
4.out of breath 上气不接下气
例句：
I ran to the theater all along and was out of breath.
我一路跑到剧院上气不接下气。
5.on business 出差
例句：
I am here on business as opposed to a holiday.
我在这里是办公事而不是度假。