  We consider a mixture of two-component Fermi gases at low temperature. The
density profile of this degenerate Fermi gas is calculated under the
semiclassical approximation. The results show that the fermion-fermion
interactions make a large correction to the density profile at low temperature.
The phase separation of such a mixture is also discussed for both attractive
and repulsive interatomic interactions, and the numerical calculations
demonstrate the exist of a stable temperature region $T_{c1}<T<T_{c2}$ for the
mixture. In addition, we give the critical temperature of the BCS-type
transition in this system beyond the semiclassical approximation.
