Will a query string appended to url which mod rewritten work

I have a dynamic page which I used mod rewrite to make the url friendly:

RewriteRule ^page/([0-9]+)/([A-Za-z0-9-_.]+)?/?$ /page.php?id=$1&slug=$2 [NC,L]

Now there are other parameter I want to add to the url for some of the pages, I tried it but was not identified in php $_GET. So I want to know if there is a way to that beside adding it in the rewrite rule.