lose extension, keep query

On my website, I am using redirects to change addresses like
http://example.com/about to
http://example.com/?page=about

I have this code:

RewriteEngine on
RewriteRule ^([a-zA-Z0-9]+)$ ./?page=$1

Which works great. Until you have an address like this:
http//example.com/about?name=bob

The query is completely lost. How can I do the redirect and keep the query? So
http://example.com/about?name=bob becomes
http://example.com/?page=about&name=bob

Thanks.

RewriteEngine on
RewriteRule ^([a-zA-Z0-9]+)$ ./?page=$1 [L,QSA]

. . . I feel like a moron now that I know the solution was so simple, lol.

But thank you very much for the help!