如图,边长分别为1和2的两个等边三角形,开始它们在左边重合,大

如图,边长分别为12的两个等边三角形,开始它们在左边重合,大三角形固定不动,然后把小三角形自左向右平移直至移出大三角形外停止.设小三角形移动的距离为x,两个三角形重叠面积为y,则y关于x的函数图象是(  )

 

A

B

C

D

答案

B解:t1时,两个三角形重叠面积为小三角形的面积,

y=×1×=

1x2时,重叠三角形的边长为2x,高为

y=2x×=xx+

x2时两个三角形重叠面积为小三角形的面积为0

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