You could put this in your .htaccess file:
RewriteEngine On
RewriteRule ^(.+)$ home.php?page=$1 [QSA,L]
This will do what you want, except for the parameters passed, they will show up in there original form:
www.site.com/file.php?a=b&c=d -> www.site.com/home.php?page=file.php&a=b&c=d
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