问题 选择题
|
a
|=|
b
|=|
a
-
b
|
b
a
+
b
的夹角为(  )
A.30°B.60°C.150°D.120°
答案

|

a
|=|
b
|=|
a
-
b
|=t

|

a
-
b
|2=
a
2
+
b
2
-2
a
 
b
 =t2

2

a
b
=t2

(

a
+
b
2=
a
2
+
b
2
+2
a
b
=3t2

a
|+ 
b
| =
3
t

∴cos<

b
a
+
b
>=
b
a
+
b
|
b
||
a
+
b
|
=
3
2

b
a
+
b
的夹角为:30°

故选A

单项选择题
单项选择题