We systematically investigate the transport and photoluminescence measurements of a high-mobility two-dimensional electron gas in a GaAs/AlGaAs quantum well under magnetic fields . By tuning the laser excitation power , transitional patterns of the singlet and triplet (negative charged) trions occur in the high- regime: The two branches of singlet trions dominate at low , and six more triplet branches emerge at high . At extremely high laser and at fixed fields, robust Fano resonance features are accompanied by the Gaussian resonance centered at , which illustrates dark and bright trions. Therefore, a very high laser excitation (or electromagnetic field) becomes an efficient tool to probe dark trions. In addition, discontinuity and splitting features occur at fillings , and the abrupt drops at high odd fillings factors (, etc.) originate from spin-resolved many-body interactions.