It is possible to check mate a single king with only a rook and a king. Its hard to explain without showing you the board but I believe chess mentor has some basics like this for free.
http://www.chess.com/chessmentor/myhome
Bishop and rook checkmate
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Hi,I am a low-levelled player.I am in difficulty of how to defeat an only king with a bishop,a rook and a king.Please someone help me.