The above-threshold detachment of F-ions induced by a linearly polarized few-cycle laser pulse is investigated theoretically using the strong-field approximation model without considering the rescattering mechanism.We first derive an analytical form of transition amplitude for describing the strong-field photodetachment of F-ions.The integration over time in transition amplitude can be performed using the numerical integration method or the saddle-point (SP) method of Shearer et al.[Phys.Rev.A 88 (2013) 033415].The validity of the SP method is carefully examined by comparing the energy spectra and photoelectron angular distributions (PADs) with those obtained from the numerical integration method.By considering the volume effect of a focused laser beam,both the energy spectra and the low-energy PADs calculated by the numerical integration method agree very well with the experimental results.