二次函数单元测试题

1、二 次 函 数单 元 测 试 一一、选择题：1下列函数中，是二次函数的是( ) a. b. c. d. 2. 二次函数，当时，随着的增大而增大，当时，随着的增大而减小，则的值应取（ ）a12 b11 c10 d9oyxoyxoyxoyx3. 若一次函数的图象经过二、三、四象限，则函数的图象只可能是( ) a. b. c. d.4.在函数y=中，自变量的取值范围是( ) a. -2且3 b. -2且3 c. -2且-3 d. -2且35.无论为何实数，二次函数的图象总是过定点( ) a.(-1，3) b.(1，0) c.(1，3) d.(-1，0)6.在直角坐标系中，坐标轴上到点p(-3，-4)

2、的距离等于5的点共有( ) a.1个 b.2个 c.3个 d.4个7. 下列四个函数中，的值随着值的增大而减小的是（ ）a b c d cayxo8抛物线的图象如图，oa=oc，则 （ ）a b c d以上都不是yoxoyxoyxoyx9.在同一坐标系中，一次函数和二次函数的图象大致为( ) a b c d10若，则二次函数的图象的顶点在 （ ）a第一象限 b第二象限 c第三象限 d第四象限二、填空题：11已知二次函数解析式为，则这条抛物线的对称轴为直线= ，满足0的的取值范围是 1x5 ，将抛物线向 上 平移 4 个单位，则得到抛物线。12请写出一个开口向上，对称轴为直线，且与轴的交点坐标为

3、(0，3)的抛物线的解析式 y=(x2)23等 。13. 中，抛物线与轴有两个交点a（2，0）b（-1，0），则的解是_，的解是_。14已知抛物线经过点a(-2，7)，b(6，7)，c(3，-8)，则该抛物线上纵坐标为-8的另一点的坐标是_(1,-8) _。15如右图所示，长方体的底面是边长为cm的正方形，高为6cm，请你用含的代数式表示这个长方体的侧面展开图的面积s=_，长方体的体积为v=_，各边长的和l=_，在上面的三个函数中，_是关于的二次函数。16.抛物线与直线有_个交点，交点坐标是_。三、解答题：17.当二次函数图象与轴交点的横坐标分别是，且与轴交点为（0，-2），求这个二次函数的解

4、析式。18.求抛物线与坐标轴的交点坐标，并求这些交点所构成的三角形面积。19. 一男生推铅球，铅球出手后运动的高度，与水平距离之间的函数关系是，那么这个男生的铅球能推出几米？20.某商场以每件30元的价格购进一种商品，试销中发现，这种商品每天的销售量 (件)与每件的销售价(元)满足一次函数关系，请写出商场卖这种商品每天的销售利润(元)与每件销售价 (元)之间的函数关系式。21如图有一座抛物线形拱桥，桥下面在正常水位是ab宽20米，水位上升3m就达到警戒线cd，这是水面宽度为10米，（1）在如图的坐标系中求抛物线的解析式；（2）若洪水到来时，水位以每小时0.2米的速度上升，从警戒线开始，再持续多

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