问题
填空题
若三点P(1,1),A(2,-4),B(x,-9)共线,则x=______.
答案
三点P(1,1),A(2,-4),B(x,-9)共线⇒
∥PA
,PB
=(1,-5),PA
=(x-1,-10),PB
⇒1×(-10)=-5(x-1)⇒x=3
故答案为3
若三点P(1,1),A(2,-4),B(x,-9)共线,则x=______.
三点P(1,1),A(2,-4),B(x,-9)共线⇒
∥PA
,PB
=(1,-5),PA
=(x-1,-10),PB
⇒1×(-10)=-5(x-1)⇒x=3
故答案为3