Michu made a dream start to his Swansea career and opened the scoring on eight minutes, firing in a snap shot from the edge of the box.
It was a nightmare start for Robert Green, however, as the goalkeeper should not have let the effort beat him.
At the other end Michel Vorm was equal to everything QPR threw at him in the opening stages.
Junior Hoilett was becoming the most dangerous player on the pitch, with a shot, a header and a cross all testing Vorm.
Michu hit the bar just before half-time, which otherwise could have given QPR a huge task to put two past Vorm.