问题标题:
sat2数学求解aplanecutsthroughacubeinsuchawaythattheplanepassesthroughthreeofthecube'svertices,notwoofwhichlieonthesameedge.iftheedgeofthecubehasalengthof1,whatisthesurfaceareaofthesmallerfragmentof
问题描述:
sat2数学求解
aplanecutsthroughacubeinsuchawaythattheplanepassesthroughthreeofthecube'svertices,notwoofwhichlieonthesameedge.iftheedgeofthecubehasalengthof1,whatisthesurfaceareaofthesmallerfragmentofthecube?
a,2.4
b2.7
c3.1
d3.7
e4.3
求过程
曹兆勇回答:
很明显三个顶点不共面则切面是正三角形,
较小的部分是一个四面体,三个面为等腰直角三角形,面积为1/2,
另一个面试正三角形,边长√2,面积√3/2
总面积3*1/2+√3/2=2.366
选A
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