1. He started sucking up to the boss as soon as he got on board.
他一来公司就开始拍老板的马屁。
suck up to:巴结，奉承

2. The professor likes her because she knows how to please him.
教授喜欢她是因为她知道怎么讨好他。

3. She's very good at paying lip service.
她很会讲一些言不由衷的好听话。
pay lip service：说好听的话

4. Everyone in this company knows that he's trying to curry favor with the board of the directors.
公司里的每一个人都知道他想要巴结董事会。
try to curry favor with：拉关系，巴结
the board of the directors:董事会，也可直接说the board