解:a=2/﹙1-√3﹚=﹣﹙√3+1﹚ ﹙a²-1﹚/﹙a-1﹚+√﹙a²+2a+1﹚/﹙a²+a﹚-1/a =a+1-1/a-1/a =a+1-2/a =﹣√3-1+1+2/﹙√3+1﹚ =﹣√3+√3-1 =﹣1.