Red: My corrections

Blue: My Comments

please help me ,thanks~ pls

Abstract: With the economic developing,the life level of consumers is improved gradually，

With the economic development, the well-being of consumers have improved gradually.

In English, we don't use the word "life level". I understand what you mean, but I think everyone uses "well-being" instead. 

and customer requirements turn to spirtitual and cultural aspects in life gradually in one part of which is reading books.

Customers are gradually wanting to turn to the spiritual and cultural aspects of life by reading books. 

But with vigorous development of network technology in recent years, online bookstores are developing so fast because of their low cost,convience and other advantages while physical bookstores are declining.

But with the vigorous development of internet technology in recent years, online bookstores are developing so fast because of their low cost and convienence while physical bookstores are declining. 

What other advantages? Also, I think if a native English speaking university professor was reading this, he may want to see the sentence broken down into smaller sentences. 

Under the time of fasting development of cultural industry, Eslite Bookstore walks out a diversified way successfully by the model of dominant and avocation（or main and side business？）joint venture and its unique brand culture.

With the accelerated development of the cultural industry, Elite Bookstore was able to diversify by using its joint venture and unique brand culture. 

This sentence was confusing. What is the name of the bookstore? Elite Bookstore? What is "dominant and avocation" model? Are you trying to say "main and side business" model?

Exploring (or inquiry?)marketing strategy analysis of Elsite Bookstore and searching how it becomes landmark of Taiwan and a lifestyle of people can make some lessons for development of other bookstors. 

By exploring the marketing strategy and analyisis of Elite Bookstore and searching how it became a landmark and a lifestyle to the people of Taiwan, this company can provide some lessons in the development of other bookstores. 

I think the sentence I corrected is fine, but again, I think if a native English speaking academic professor was reading this, he may want to see the sentence broken down into smaller sentences.

i am writing a paper these days. pls help me correct the Abstract.....thanks！！！

Not bad, the big challenge is how can you break down the long sentences into smaller sentences? That's what I think, but please take my advice with some caution since I'm not really an English teacher or an English grammar "expert". ;)