Web part pages are usually have only web part zones for web parts. They lack the quick launch navigation bar.
In MOSS 2007, it was easy to have web part pages with quick launch by tweaking few lines in the page.
While working on some other site collection with a team site, I created a web part page & I found few additional CSS statements blocking the visibility of quick launch. I modified the line & wow, it worked there. I detailed the steps below for the same.
Open the web part page in SharePoint Designer 2010. Comment the following lines.
That’s it. It worked for me.
Then I used same technique at the publishing portal. But it did not work there. Again, I googled specific to Publishing Portal and again without relevant search results.
Then I started going through the page source and found that the CSS line, which I modified, is inside a VersionedContentPlaceHolder with an ID as “WebPartPageHideQLStyles”.
I just commented it and it worked for me.