What type of move/position would you call this?
Just a discovered attack, they often come with check like in this example. What you call these tactics matters very little ofc
maybe call it knight hopscotch because that is when a knight moves to a square of an opposite color
I thought emphasis should be more in the direction of mating, and checking next. So, in my mind "check" should come first. That's why I added the "with" in the original post. It could be something like "check with a discovered attack".
i would call it a check and chomp on hanging piece
Is it really hanging? I thought hanging meant you can't take the piece that took.
In this position, the knight could have checked the king with Ng4+ and the rook could also attack the queen. I know there are two terms, discovered check and discovered attack, but this one looks different. There is no piece going out of the way to check. There is a piece getting out of the way to attack the queen. This is the opposite of chessDOTcom/terms/discovered-check-chess and is like a "discovered check (with) attack".
The FEN is 6k1/4Rpp1/p1Q2nrp/1p6/1Pp5/P1N4P/2P2PPK/2q5 b - - 5 29