Take a screenshot of a QuickTime movie frame?

I'm trying to export a screenshot of a part of a video in QuickTime Player 10.

How can I save a freeze frame capture from a QuickTime movie?

The saved image should be only the single video frame, not including the QuickTime Player window's chrome or controls.

I can't find a screenshot menu item in the Export menu...

A solution I found with Quicktime:

Pause the video on the still frame you want as an image, then hit cmd+c (copy from the edit menu). Then open the Preview app and select File/New from clipboard.

I guess this is "an answer" but it's not an answer to the question you actually asked...

VLC [Freeware] can snapshot either on the fly or when paused with Opt ⌥ Cmd ⌘ S & generally runs rings round Quicktime as a player.

Note, because of its popularity, there are scam sites primed for unsuspecting prey.
VLC's domain is videolan.org