向量AC'=向量AB+向量AD+向量AA'
=>
AC'^2 = (向量AB+向量AD+向量AA')^2
=
AB^2 + AD^2 + AA'^2 + 2(向量AB*向量AD+向量AA'*向量AB+向量AD*向量AA')
=
AB^2 + AD^2 + AA'^2 + 2AB*ADcos60+2AA'*ABcos60+2AD*AA'cos60
=
16+9+25+2*4*3/2+2*5*4/2+2*3*5/2
=
97
=>
AC' = 97 应该对的吧
已知平行六面体ABCD-A1B1C1D1中棱AB=3,AD=4,AA'=5,且角BAA1=DAA1=BAD=60°,求A
AC'^2 = (向量AB+向量AD+向量AA')^2=AB^2 + AD^2 + AA'^2 + 2("}}}'>
3个回答
相关问题
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已知在平行六面体ABCD-A1B1C1D1中，AB=AD=AA1=1，且∠BAD=∠BAA1=∠DAA1=60°，求AC
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已知在平行六面体ABCD-A1B1C1D1中，AB=AD=AA1=1，且∠BAD=∠BAA1=∠DAA1=60°，求AC
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平行六面体ABCD—A1B1C1D1中,AB=1,AD=2,AA1=3,角BAD=90度,角BAA1=角DAA1=60度
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平行六面体ABCD—A1B1C1D1中,AB=1,AD=2,AA1=3,角BAD=90度,角BAA1=角DAA1=60度
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如图,在平行六面体ABCD-A1B1C1D1中AB=AD=AA1=1,角BAD=60°角BAA1=角DAA1=45°
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如图,在平行六面体ABCD-A1B1C1D1中AB=AD=AA1=1,角BAD=60°角BAA1=角DAA1=45°
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已知平行六面体ABCD-A'B'C'D',AB=4,AD=3,AA'=5∠BAD=90°,∠BAA'=∠DAA‘=60°
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1.六面体ABCD-A'B'C'D'中,AB=5,AD=3,AA'=7,角BAD=60度,角BAA'=角DAA'=45度
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在平行六面体ABCD-A‘B’C‘D’中,AB=4,AD=3,AA‘=5,∠BAD=90°,∠BAA’=∠DAA‘=60
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在平行六面体ABCD-A'B'C'D'中,AB=4,AD=3,AA'=5,角BAD=90度,角BAA'=角DAA'=60