广东省江门市新会梁启超纪念中学2026-2027学年第一学期期中大练习九年级数学试题(无答案)

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江门市新会梁启超纪念中学2026-2027学年第一学期期中大练习

九年级数学试题

说明:试卷满分120分,考试时间120分钟

一、选择题(本大题共10小题,每小题3分,共30分)

1.下列方程是关于的一元二次方程的是(     )

A.  B.  C.  D.

2.一元二次方程的根是(     )

A.  B.  C.  D.

3.关于的一元二次方程有两个不相等的实数根,则的取值是(     )

A.  B.且  C.  D.且

4.抛物线的顶点坐标是(     )

A.(-1,-6) B.(-1,6) C.(1,6) D.(1,-6)

5.抛物线向右平移1个单位长度,再向下平移2个单位长度,得抛物线是(     )

A.  B.  C.  D.

6.若反比例函数的图象经过点,则该反比例函数的图象在(     )

A.第一、二象限  B.第一、三象限  C.第二、三象限  D.第二、四象限

7.要组织一次篮球联赛,赛制为单循环形式(每两队之间都赛一场),计划安排28场比赛,应邀请参加比赛的球队队数是(     )

A.6  B.7  C.8  D.9

8.点在反比例函数的图象上,则的大小关系是(     )

A.  B.  C.  D.

9.若是方程的两个根,且,则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(     )

A.2  B.3或-1  C.-1  D.3

10.抛物线的对称轴为直线,部分图象如图所示,下列判断:①;②;③;④其中正确结论的个数是(     )page number 0

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image

A.1  B.2  C.3  D.4

二、填空题(本大题共5小题,每小题3分,共15分)

11.一元二次方程的解是___________.

12.如图,过反比例函数图象上的一点,作轴于A.若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的面积为5,则

image

13.抛物线的顶点坐标是___________,与轴的交点坐标是___________.

14.已知抛物线与轴只有一个交点,则___________.

15.要修一个圆形喷水池,在池中心竖直安装一根水管,水管的顶端安一个喷水头,使喷出的抛物线形水柱在与池中心的水平距离为处达到最高,高度为,水柱落地处离池中心,水管高度应为___________.

image

三、解答题(本大题共3小题,每小题8分,共24分)page number 1

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