问题
填空题
正四面体ABCD的棱长为a,点E,F,G分别是棱AB,AD,DC的中点,则三个数量积:①2
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答案
①2
•BA
=2•a•a•(-AC
)=-a21 2
②2
•AD
=2•a•a•BD
=a21 2
③2
•FG
=AC
•AC
=a2AC
故答案为:②③
正四面体ABCD的棱长为a,点E,F,G分别是棱AB,AD,DC的中点,则三个数量积:①2
|
①2
•BA
=2•a•a•(-AC
)=-a21 2
②2
•AD
=2•a•a•BD
=a21 2
③2
•FG
=AC
•AC
=a2AC
故答案为:②③