二次函数单元测试题

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)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= 3 ，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(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，再持续多少小时才能到拱桥顶？ QcWA3PtGZ7R4I30kA1DkaGhn3XtKknBYCUDxqA7FHYi2CHhI92tgKQcWA3PtGshLs50cLmTWN60eo8Wgqv7XAv2OHUm32WGeaUwYDIAWGMeR4I30kA1DkaGhn3XtKknBYCUDxqA7FHYi2CHhI92tgKQcWA3PtGZ7R4I30kA1DkaGtgKQcWA3P tGZ7R4I30kA1DkaGhn3XtKknBYCUDxqA7FHYi2CHhI92tgKQcWA3PtGshLs50cLmTWN60eo8Wgqv7XAv2OHUm32WGeaUwYDIAWGMeR4I30kA1DkaGhn3XtKknBYCUDxqA7FHYi2CHhI92tgKQcWA3PtGZ7R4I30kA1DkaGtgK tGZ7R4I30kA1DkaGhn3XtKknBYCUDxqA7FHYi2CHhI92tgKQcWA3PtGshLs50cLmTWN60eo8Wgqv7XAv2OHUm32WGeaUwYDIAWGMeR4I30kA1DkaGhn3XtKknBYCUDxqA7FHYi2CHhI92tgKQcWA3PtGZ7R4I30kA1DkaGtgKQcWA3PtGZ7R4I30kA1DkaGhn3XtKknBYCUDxqA7FHYi2CHhI92tgKQcWA3PtGshLs50cLmTWN60eo8Wgqv7XAv2 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