摘要：27．某加油站五月份营销一种油品的销售利润与销售量之间函数关系的图象如图中折线所示.该加油站截止到13日调价时的销售利润为4万元.截止至15日进油时的销售利润为5.5万元．(销售利润＝ 请你根据图象及加油站五月份该油品的所有销售记录提供的信息.解答下列问题: (1)求销售量为多少时.销售利润为4万元, (2)分别求出线段AB与BC所对应的函数关系式, (3)我们把销售每升油所获得的利润称为利润率.那么.在OA.AB.BC三段所表示的销售信息中.哪一段的利润率最大? 解法一:(1)根据题意.当销售利润为4万元.销售量为． 答:销售量为4万升时销售利润为4万元．························································· (2)点的坐标为.从13日到15日利润为. 所以销售量为.所以点的坐标为． 设线段所对应的函数关系式为.则解得 线段所对应的函数关系式为．······························· 从15日到31日销售5万升.利润为． 本月销售该油品的利润为.所以点的坐标为． 设线段所对应的函数关系式为.则解得 所以线段所对应的函数关系式为．································· (3)线段．·································································································· 解法二:(1)根据题意.线段所对应的函数关系式为.即． 当时.． 答:销售量为4万升时.销售利润为4万元．························································· (2)根据题意.线段对应的函数关系式为. 即．················································································ 把代入.得.所以点的坐标为． 截止到15日进油时的库存量为． 当销售量大于5万升时.即线段所对应的销售关系中. 每升油的成本价(元)． 所以.线段所对应的函数关系为 ．···································· (3)线段．

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