  Considering the nonminimal coupling of the dilaton field to the massive
graviton field in Maxwell-dilaton-massive gravity, we obtain a class of
analytical solutions of charged black holes, which are neither asymptotically
flat nor (A)dS. The calculated thermodynamic quantities, such as mass,
temperature and entropy, verify the validity of the first law of black hole
thermodynamics. Moreover, we further investigate the critical behaviors of
these black holes in the grand canonical and canonical ensemble, and find a
novel critical phenomenon never before observed, known as the ``reverse"
reentrant phase transition with a tricritical point. It implies that the system
undergoes a novel ``SBH-LBH-SBH" phase transition process, and is the reverse
of the ``LBH-SBH-LBH" process observed in reentrant phase transitions.
