问题 选择题
a
=(x1y1)
b
=(x2y2)
,若|
a
|=2
|
b
|=3
a
b
=-6
,则
x1+y1
x2+y2
=(  )
A.
2
3
B.
3
2
C.-
2
3
D.-
3
2
答案

|

a
|=2,|
b
|=3
a
b
=-6
,则
a
b
反向

则由向量共线定理可得,

a
=-
2
3
b

x1=-

2
3
x2y1=-
2
3
x2

x1+y1
x2+y2
=
x1+y1
x2+y2
=
-
2
3
(x2+y2)
x2+y2
=-
2
3

故选C.

选择题
选择题