A fast sensitivity method for determining line loss and node voltages in active distribution network is proposed. A quadratic sensitivity model of distributed generation (DG) output or load to Line Loss (QSLL) and a linear sensitivity model of DG output or load to node voltages (LSNV) are established based on one initial load flow calculation. Using these models, the variety of line loss and node voltages of distribution network can be directly determined with the variation of DG output or load demand. The proposed QSLL is more concise and accurate compared to the conventional linear sensitivity model. And the proposed LSNV are more concise than the conventional one.