数学题:三角形ABF的面积比三角形CEF的面积大8平方厘米

  • 时间:2020-05-11 16:38:51
  • 分类:数学世界
  • 阅读:174 次

数学题正方形ABCD边长8厘米,三角形ABF的面积比三角形CEF的面积大8平方厘米,那么CE长多少厘米?

三角形ABF

数学题解答

当CE=4时,BF=8÷(2+1)×2=16/3,CF=8 – 16/3=8/3。

此时ABF比CEF大:16平方厘米。

当CE=8时,BF=CF=4。

此时ABF比CEF大0平方厘米。

而题中ABF比CEF大8平方厘米,位于16和0的中间处。所以CE的长度应介于4和8之间,并且当CE=6时,算出ABF的值正好比CEF大8平方厘米。

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