回答:
P1和P4定义的线段与P2和P3定义的线段具有相同的斜率
说明:
为了比较可能的4个点的斜率,应该确定P1P2,P1P3,P1P4,P2P3,P2P4和P3P4的斜率。
确定由两点定义的斜率:
#k_(AB)=(Delta y)/(Delta x)=(y_B-Y_A)/(x_B-x_A)#
#k_(P1P2)=(2-5)/( - 1 + 2)= - 3/1 = -3#
#k_(P1P3)=(1-5)/(0 + 2)= - 4/2 = -2#
#k_(P1〜P4)=(2-5)/(1 + 2)= - 3分之3= -1#
#k_(P2P3)=(1-2)/(0 + 1)= - 1/1 = -1#
#k_(P2P4)=(2-2)/(1 + 1)= 0/2 = 0#
#k_(P3P4)=(2-1)/(1-0)= 1/1 = 1#
#k_(P1〜P4)= K_(P2P3)# =>段P1P4和P2P3具有相同的斜率