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数学
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菱形ABCD的周长为20厘米,两条对角线的比为3:4,求菱形面积
人气:234 ℃ 时间:2020-03-22 22:13:33
解答
菱形对角线互相垂直平分,设交点为O,
AO=3K,BO=4K
AB²=AO²+BO²
AB=5K
C=4AB=20
5K=5
K=1
AO=3,BO=4
AC=2AO=6,BD=2BO=8
S=1/2AC*BD=1/2*6*8=24
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