Could the following situation possibly exist?
It's White to play, and Black is about to get back rank mated. This is because the King's mobility is restricted to a single file. Then White gives a check.
At this point, Black plays the best move that blocks with a hanging piece, where the blocking piece has no defense. White takes the piece with check, and black can now escape somehow.
An example of this is that by blocking check with a hanging knight, Black opens up a bishop's path to further block, but this time safely and checkmate is avoided.