X的平方减二X减X减1的绝对值减1等于零x²-2x-|x-1|-1=0x²-2x+1-|x-1|-2=0(x-1)²-|x-1|-2=0|x-1|²-|x-1|-2=0令|x-1|=t>=0∴t²-t-2=0(t-2)(t+1)=0∴t=2,t=-1舍去∴|x-1|=2x-1=2或x-1=-2x=3或x...