How to mysqldump to a subset of rows in specific table during a complete backup
Dumping subsets of table data can only be done backing up individual tables. 

I once answered a post entitled Is it possible to mysqldump a subset of a database required to reproduce a query?. In that post, I used mysqldump strictly against the tables in question.

The only thing you can do is to produce two dumps


mysqldump of the database without table1 (means you have to name all other tables (See my old post How do you mysqldump specific table(s)?)
mysqldump only table1 using -w or --where
concatenate the second dump to the first dump


Give it a Try !!!