a-tb=(2-t,1-2t)
ta+b=(2t+1,t+2)
因为a-tb⊥ta+b
有:(a-tb)·(ta+b)=(2-t)(2t+1)+(1-2t)(t+2)=0
= -2t²+3t+2-2t²-3t+2=0
t²=1
t=±1