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Endgame KQ vs KR

It’s extremely difficult. GMs can’t do it against a tb.
The main idea at all stages is to fork and win the rook, so the weaker side wants to keep the rook close to the king. The winning idea is to try to force the king to the edge of the board, and the rook will follow it. I don't think there is one simple method to memorize, but you're aiming for the Philidor position you know. If you can't play a move that forces the enemy closer to that position, then play a quiet move and force them to maintain the fortress or separate the king and rook. Muller and Lamprecht have a short section on it in Fundamental Chess Endings, but it's mostly about the Philidor position. Dvoretsky covers it a little more, but basically says what I've just said, and suggests practicing it with the computer. It would probably be worth studying the examples he gives, because they're usually well chosen.
Everyone knows the philidor position and its quite easy.
Two things that people need to learn:
1)How to reach philidor position with the side with queen, in that position irrespective of which side to move its winning for queen side.(Queen can triangulate and give back move to opponent)
2)How to make it extremely difficult for side with queen to win. This includes setting up traps and extreme resistance .
@JessyWeinberg said in #5:
> Everyone knows the philidor position and its quite easy.

What does it mean everyone? 10% of lichess users? How do you define easy? How do you prove to me that it's easy?
By easy I mean its concrete, that you can learn it easily, unlike say positional chess.
John Nunn covers KQ vs KR nicely in his book Secrets of Pawnless Endings. Most helpful for me was endgame training on Chess Tempo (I used free membership, 2 problems per day, endgame practice). If you do that regularly you get quite a variety of positions and are basically playing against "perfect" defense (engine with tablebase). Ofc it's also pivotal to threat these exercises like games: you analyze them.

KQ vs KR is one of the endgames, which are helpful beyond the endgame itself, because it improves your tactical alertness regarding powerful queen moves.

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