Slope ski specially adapted to slalom and comprising a central down-side load-bearing portion (10) ending in a front contact line (12) beyond which is extended, in the area of the tip (2), a raised up-side portion (11) on which is mounted an asymmetrical tip end-piece (3) which extends the raised part through a central part (4) having the overall shape of a horn whose tip (34) is offset to the inside of the ski (INT) in relation to the median longitudinal axis (I, I'). The end-piece comprises an overhanging lateral part (5) connecting with the central part and constituting a skirt for the side of the outer edge of the ski and whose upper surface (50) is designed to come into contact with the pole. The invention also relates to the deflector end-piece designed to be mounted on a ski. The invention allows the ski tip to remain in continuous contact with the snow, even in the event of contact of the skirt (5) with the slalom pole (24).