已知函数$f\left(x\right)=\left\{\begin{array}{c}a{x}^2+2x+1,\left(x\le 0\right)\\ ax-3,\left(x>0\right)\end{array}\right.$有3个零点，则实数a的取值范围是（    ）

读下图判定（    ）

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                                                                                                                刘禹锡
                                                                 巴山楚水凄凉地，二十三年弃置身。怀旧空吟闻笛赋，到乡翻似烂柯人。
                                                                 沉舟侧畔千帆过，病树前头万木春。今日听君歌一曲，暂凭杯酒长精神。