已知二次函数y=2x2+4x﹣5,设自变量的值分别为x1、x2、x3,且﹣1<x1<

已知二次函数y=2x2+4x﹣5,设自变量的值分别为x1、x2、x3,且﹣1<x1<x2<x3,则对应的函数值y1、y2、y3的大小关系为(  )

A.y1>y2>y3 B.y1<y2<y3 C.y2<y3<y1 D.y2>y3>y1

答案

B【考点】二次函数图象上点的坐标特征.

【分析】在利用二次函数的增减性解题时,对称轴是非常重要的.根据x1、x2、x3,与对称轴的大小关系,判断y1、y2、y3的大小关系.

【解答】解:∵y=2x2+4x﹣5=2(x+1)2﹣7,

∴抛物线对称轴为直线x=﹣1,

∵﹣1<x1<x2<x3

∴在对称轴右侧,y随x的增大而增大,即y1<y2<y3.故选B.

【点评】主要考查了函数的对称轴求法和函数的单调性.

 

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