From the full stopping scenario and considered the Drell-Yang background, the rapidity dependence of the dilepton production from the central collision ¹⁹⁷Au+¹⁹⁷Au has been studied in the baryon-rich quark-gluon matter by using a relativistic hydrodynamic model. It can be found that the dilepton yield is strongly suppressed as increasing the rapidity. Such a characteristic signaling the formation of the baryon-rich quark-gluon matter can be tested in future experiments at CERN and Brookhaven.