antilysin 发表于 2006-11-11 14:59

who knows how to do this?

a mother of four bakes a flat cake for her children. she tries to divide the cake into four equal pieces with 2 cuts(along the straight lines). prove that she can always do that( we do not assume anything about the shape of the cake. the pieces may be of different shapes, the children only worry about the size of their share)<br/>hint: use the intermediate value theorem
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