题目内容
已知|
|=4,|
|=
,
-
=6,求
(1)(
-
)-
;
(2)求|
+
|.
(提示:|
|2=
-
)
| a |
| b |
| 3 |
| a |
| b |
(1)(
| a |
| b |
| b |
(2)求|
| a |
| b |
(提示:|
| a |
| a |
| a |
(1)∵|
|=4,|
|=
,
•
=6,
∴(
-
)•
=
•
-
•
…(1分)
=6-|
|2=6-3=3…(5分)
(2)∵|
+
|=
…(7分)
而(
+
)2=
2+2
•
+
2=|
|2+2
•
+|
|2=42+2×6+(
)2=31…(9分)
∴|
+
|=
=
…(10分)
| a |
| b |
| 3 |
| a |
| b |
∴(
| a |
| b |
| b |
| a |
| b |
| b |
| b |
=6-|
| b |
(2)∵|
| a |
| b |
(
|
而(
| a |
| b |
| a |
| a |
| b |
| b |
| a |
| a |
| b |
| b |
| 3 |
∴|
| a |
| b |
(
|
| 31 |
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