一道数学题,help me!thank you 等腰梯形的周长为22cm,中位线长为7cm,两条对角线中点连线长为3cm,求各边长?

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一道数学题,help me!thank you 等腰梯形的周长为22cm,中位线长为7cm,两条对角线中点连线长为3cm,求各边长?
一道数学题,help me!thank you
等腰梯形的周长为22cm,中位线长为7cm,两条对角线中点连线长为3cm,求各边长?

一道数学题,help me!thank you 等腰梯形的周长为22cm,中位线长为7cm,两条对角线中点连线长为3cm,求各边长?
易知两腰,两对角线中点都在中位线上；由两对角线中点连线长为3,得,剩余两段均为2；易知：上底长为4.又因为中位线长7,则下底长为7×2-4=10；进而易得两腰长为4；
综上,上底为4,两腰均为4,下底为10；
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