A blade for a turbomachine rotary fan, the blade comprising a body made of a composite material having an upstream edge and a downstream edge, between which the body extends along a first longitudinal direction, an extrados and an intrados, between which the body extends along a second thickness direction, which is transverse to the first direction, a blade root and an upper blade tip edge, between which the body extends along a third height direction, transverse to the first and second directions (AX, EP), a function of the blade root being to be fixed to a longitudinal rotary fan hub, the blade comprising a predetermined breaking zone (5, 51, 52, 53, 54, 55, 56), which extends from the upstream edge over a determined non-zero length along the first longitudinal direction and which extends from the blade tip edge over a determined non-zero height along the third height direction, the blade being characterized in that the body comprises a fiber reinforcement obtained by three-dimensional weaving of warp strands extending at least along the third height direction and of weft strands extending at least along the first longitudinal direction, and a resin matrix in which the fiber reinforcement is embedded, the body has, in or in proximity to the predetermined breaking zone (5, 51, 52, 53, 54, 55, 56), at least one discontinuity (6, 61, 62, 63, 64, 65, 66) of at least certain of the warp strands and/or of at least certain of the weft strands, configured so that the predetermined breaking zone (5, 51, 52, 53, 54, 55, 56) is partially detached in presence of tangential friction extending in the second thickness direction against the blade tip edge, the determined non-zero height of the predetermined breaking zone (5, 51, 52, 53, 54, 55, 56) being less than 3% of an aerodynamic stream height of the blade, defined from the upper blade tip edge to an aerodynamic stream starting point of the blade, which is located at a distance from the blade root and which is intended to be in contact with an inter-blade platform along the third height direction. the blade comprising a predetermined breaking zone (5, 51, 52, 53, 54, 55, 56), which extends from the upstream edge over a determined non-zero length along the first longitudinal direction and which extends from the blade tip edge over a determined non-zero height along the third height direction, the blade being characterized in that the body comprises a fiber reinforcement obtained by three-dimensional weaving of warp strands extending at least along the third height direction and of weft strands extending at least along the first longitudinal direction, and a resin matrix in which the fiber reinforcement is embedded, the body has, in or in proximity to the predetermined breaking zone (5, 51, 52, 53, 54, 55, 56), at least one discontinuity (6, 61, 62, 63, 64, 65, 66) of at least certain of the warp strands and/or of at least certain of the weft strands, configured so that the predetermined breaking zone (5, 51, 52, 53, 54, 55, 56) is partially detached in presence of tangential friction extending in the second thickness direction against the blade tip edge, the determined non-zero height of the predetermined breaking zone (5, 51, 52, 53, 54, 55, 56) being less than 3% of an aerodynamic stream height of the blade, defined from the upper blade tip edge to an aerodynamic stream starting point of the blade, which is located at a distance from the blade root and which is intended to be in contact with an inter-blade platform along the third height direction.