题目内容
证明:设
= a,
= b,
= c,
则
= c - b,
= a - c,
= b - a
由题设:
2 +
2 =
2 +
2 =
2 +
2,
化简:a2 + (c - b)2 = b2 + (a - c)2 = c2 + (b - a)2
得: c•b = a•c = b•a
从而
•
= (b - a)•c = b•c - a•c = 0
∴
^
同理:
^
,
^![]()
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题目内容
证明:设
= a,
= b,
= c,
则
= c - b,
= a - c,
= b - a
由题设:
2 +
2 =
2 +
2 =
2 +
2,
化简:a2 + (c - b)2 = b2 + (a - c)2 = c2 + (b - a)2
得: c•b = a•c = b•a
从而
•
= (b - a)•c = b•c - a•c = 0
∴
^
同理:
^
,
^![]()