The metric for the two-dimensional dilaton gravity can be written in an alt
ernative form, similar to the two-dimensional Schwarzschild metric, and all
ow us the identification of some quantities with those equivalent in the Sc
hwarzschild solution. This new form, however, presents a nonphysical singul
arity at the horizon in the same way that in the realistic four dimensional
case. We show a procedure to eliminate this horizon singularity and, as an
application, the resulting metric is used to obtain the associated Hawking
temperature. We discuss also some differents between this metric and the S
chwarzschild one.