题目

二次函数y=ax2+bx+c的图象如图所示,那么一次函数y=ax+b的图象大致是(  )                                                      A.                    B.   C.                    D. 答案:A【分析】由y=ax2+bx+c的图象判断出a>0,b<0,于是得到一次函数y=ax+b的图象经过一,二,四象限,即可得到结论.                                          【解答】解:∵y=ax2+bx+c的图象的开口向上,                          ∴a>0,                                                     ∵对称轴在y轴的左侧,                                          ∴b>0,                                                     ∴一次函数y=ax+b的图象经过一,二,三象限.                         故选A.                                                     【点评】本题考查了二次函数和一次函数的图象,解题的关键是明确二次函数的性质,由函数图象可以判断a、b的取值范围.                                                                                                                    
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