  We investigate the interplay between the Kondo effect and the ferromagnetism
by an one dimension Anderson impurity model with a spin partially polarized
bath, using the projective truncation approximation under Lacroix basis.The
equal-time spatial spin-spin correlation function (SSCF) is calculated. For the
case of spin-unpolarized conduction electrons, it agrees qualitatively with the
results from density matrix renormalization group (DMRG). For system with
partially spin-polarized conduction electrons, an oscillation in the envelope
of SSCF emerges due to the beating of two Friedel oscillations associated to
two spin-split Fermi surfaces of conduction electrons. The period is
proportional to the inverse of magnetic field $h$. A fitting formula is
proposed to perfectly fits the numerical results of SSCF in both the short- and
long-range regions. For large enough bath spin polarization, a bump appears in
the curve of the integrated SSCF. It marks the boundary between the suppressed
Kondo cloud and the polarized bath sites.
