如图所示的二次函数y=ax2+bx+c的图象中,聪聪同学观察得出了下面四

如图所示的二次函数y=ax2+bx+c的图象中,聪聪同学观察得出了下面四条信息:
(1)b2-4ac>0;(2)c>1;(3)2a-b<0;(4)a+b+c<0.你认为其中错误的有……(▲)
A.1个B.2个C.3个D.4个

答案

A解析:
(1)根据图示知,该函数图象与x轴有两个交点,∴△=b2-4ac>0;故本选项正确;
(2)由图象知,该函数图象与y轴的交点在点(0,1)以下,∴c<1;故本选项错误;
(3)由图示,知对称轴x=->-1;又函数图象的开口方向向下,∴a<0,
∴-b<-2a,即2a-b<0,故本选项正确;
(4)根据图示可知,当x=1,即y=a+b+c<0,∴a+b+c<0;故本选项正确;
综上所述,我认为其中错误的是(2),共有1个;故选A.

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