以下句子都正确:
The man looked at me, smiling and saying “Thank you”.
这里的 looked at 是谓语动词, smiling and saying “Thank you”是现在分词短语作伴随状语。
The man looked at me, smiled and said “Thank you”.
这里的 looked at , smiled 和 said 是并列的谓语动词。
《高考英语备考1号·速效编》
《高考英语备考1号·写作编》
《高中英语晨读晚记》
《高中英语错题笔记》
《零起点考大学英语》