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The breakup reaction of 9Li on a Pb target has been measured at 32.7 MeV/nucleon for the first time. Two peaks of 6He+t coincident fragments at 9.8 and 12.5 MeV were observed and agreed with the results of the generator coordinate method calculation. The experiment was carried out thanks to a specially arranged detection system around zero degrees at the Heavy Ion Research Facility in Lanz-hou, Radioactive Ion Beam Line in Lanzhou (HIRFL–RIBLL).