解:|x²-2x-4|>1x²-2x-4>1 或 x²-2x-4<-1x²-2x-4>1 x²-2x+1>6(x-1)²>6x-1>√6 或 x-1<-√6x>1+√6或 x<1-√6 x²-2x-4<-1 x²-2x-3<0(x-3)(x+1)<0-1综上 -11+√6或 x<1-√6