1．感谢Tom对你英语学习的帮助；

　　2．询问Mr. Smith 的近况并索要其联系方式；

　　3．邀请Tom在春节期间来中国感受中国文化。

　　注意：1.词数120～150；

　　2．可适当增加细节。

　　【参考范文】

　　Dear Tom，I am now back China and sound. In this letter I would like to convey my heart­felt appreciation to you for your kind assistance in my English learning when I was in New York. Additionally，your generous help and tender care made me feel warmly welcomed and transformed my first American trip into an unforgettable memory.

　　I have been missing our English professor，Mr. Smith whose unusual cast of mind，wide and varied knowledge，together with a singular personal charm，combined to exert a strong influence on me. What about him recently? I desire to contact him for some suggestions on improving my listening ability. However，his email address is not available. So would you mind delivering it to me via the online mailbox?

　　I am more than delighted to invite you to join us to celebrate the Spring Festival—Chinese Lunar New Year so that I can repay your friendship. You can partner with me to have a try in lion dances，which is extremely exciting. And the grand lantern festival parade will be bound to impress you. I assure you that you would enjoy visiting here as I did at your home.

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