函数y=tan(π4x?π2)(0<x<4)的图象如图所示,A为图象与x轴的交点,过点A的直线l与函数的图象交于B、C

2025-06-28 09:29:46
推荐回答(1个)
回答1:

由题意可知点A的坐标为:A(2,0),
又B、C两点的中点为A,设B(x1,y1),C(x2,y2),
则由中点坐标公式可得:x1+x2=4,y1+y2=0,

OB
=(x1,y1),
OC
=(x2,y2),
OA
=(2,0),
所以
OB
+
OC
=(x1+x2,y1+y2),
(
OB
+
OC
)?
OA
=(x1+x2,y1+y2)?(2,0)
=(4,0)?(2,0)=8
故答案为:8.