问题 填空题
已知|
a
|=|
b
|=|
a
-
b
|=1
,则|
a
+
b
|
等于______.
答案

|

a
|=|
b
|=|
a
-
b
|=1,

∴|

a
-
b
|=
a
2
-2
a
b
+
b
2
=
2-2
a
b
=1

2

a
b
=1,

∴|

a
+
b
|=
a
2
+2
a
b
+
b
2
=
1+1+1
=
3

故答案为:

3

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