Dear Mr Smith,
Thank you for your offer inviting me to the free summer English course in your shool. As one of the victors of this competition, I feel it is my honor to be invited to have such a free course to learn more about the British Histoy and English culture. I am sure that I can learn a lot during this summer English course. As I am just in my summer vocation from July to August, I will take five-week course 50 July --Aug.15. Thus I can stay in the UK longer to learn more about the language and custom of the UK.
My English is not as good as the native people there in the UK, but I'm sure I can make myself understood well and get good communication with the people there. So I can manage everything well there in the Uk.
Thanks again for your kind offer.
Truly yours,
Liu Yang

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　　你好 我在美国上大三 有较强论文水平 希望能够帮助你
Dear Mr Smith,
Thank you for your offer inviting me to the free summer English course in your shool. I would like to pick up the three-week courses since I will go to visit some places of interest in UK in my free time. I believe, and exams show, that I have a fairly strong English background, which will enable me to communicate with British people without lots of problems. However, I truely know that I need to imporve my English in the perspective of oral language. I think that I'm still not as proficient as a native british speaker. However, I will definitely take the chance to learn English when I get there.

Truely yours,

Liu Yang

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　　我在英国读硕士
Dear Mr Smith,
Thank you for your offer inviting me to the free summer English course in your shool. I would like to pick up the three-week courses since I will go to visit some places of interest in UK in my free time. I believe, and exams show, that I have a fairly strong English background, which will enable me to communicate with British people without lots of problems. However, I truely know that I need to imporve my English in the perspective of oral language. I think that I'm still not as proficient as a native british speaker. However, I will definitely take the chance to learn English when I get there.

Truely yours,

Liu Yang

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　　我现在写,明天给发上来,包证好!

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　　T'd like to choose the three-week course because I don't have too much time for it as I have made some other plans for this summer vacation. And I think a three week time would be enough.
About my level of English, I've mastered around 9000 words and pharses and has got in the nearest Tofel test a score of 618.
What I really want to improve is spoken English, I want to learn real life English, the way people talk in daily life. And at the same time, I want chances which can help me practice my listening ablity.
Thanks again for your invitation.
Best wishes,

Yours truly,
XXX