2017-2018学年广东省汕头市潮南区胪岗镇九年级(上)期末数学试卷

适用年级:初三
试卷号:200124

试卷类型:期末
试卷考试时间:2018/3/7

1.单选题(共5题)

1.
已知m是方程x2x﹣2=0的一个根,则代数式m2m+3=(  )
A.﹣2B.1C.0D.5
2.
下列的一元二次方程有实数根的是(  )
A.x2x+1=0B.x2=﹣xC.x2﹣2x+4=0D.(x﹣2)2+1=0
3.
方程x2=4的解为(  )
A.x=2B.x=﹣2C.x1=4,x2=﹣4D.x1=2,x2=﹣2
4.
下列图形中既是中心对称图形又是轴对称图形的是
A.B.C.D.
5.
已知点P关于x轴的对称点的坐标是(2,1),那么点P关于原点的对称点的坐标是(   ).
A.(-1,-2)B.(2,-1)C.(-2,-1)D.(-2,1)

2.选择题(共2题)

6.

毛细血管主要作用是(  )

7.根据短文内容的理解,选择正确答案。

    In China, there're many different kinds of food. Some of them are very popular. The real Chinese food is dumplings. Now let's talk about them, OK?

    Everyone in China likes dumplings very much, and there are many different kinds of dumplings. Some have meat and vegetables in them, others have sugar, eggs and so on. I like dumplings with vegetables and pork better than any other kind.

    Usually people make dumplings at home. If you have no time to make them, you can buy them from any supermarket. Then you take them home and eat them with vinegar.

    The Spring Festival is very important in China. When it comes, we make dumplings, usually we put a coin(硬币) in a dumpling. If one eats the dumpling with the coin in it, he or she will be lucky in the year.

    In the old days, people couldn't often eat dumplings, because they were very poor. Now our country is becoming stronger and stronger, and our people are richer and richer. We can eat them very often.

    Now tell me, do you like dumplings?

    Welcome to China, and we'll invite you to eat the real Chinese food —dumplings.

3.填空题(共3题)

8.
抛物线y=(x+1)2+2的对称轴为______,顶点坐标是______.
9.
如图,Rt△OAB的顶点A(﹣2,4)在抛物线y=ax2上,将Rt△OAB绕点O顺时针旋转90°,得到△OCD,边CD与该抛物线交于点P,则点P的坐标为_____.
10.
已知是关于x的一元二次方程x2+(2m+3)x+m2=0的两个不相等的实数根,且满足=﹣1,则m的值是____.

4.解答题(共7题)

11.
关于x的一元二次方程x2+(2k+1)x+k2+1=0有两个不等实根x1,x2
(1)求实数k的取值范围;
(2)若方程两实根x1,x2满足x1+x2=-x1x2,求k的值.
12.
用配方法解方程:x2﹣4x+1=0.
13.
在国家的宏观调控下,某市的商品房成交价由去年10月份的14000元/下降到12月份的11340元/.
(1)求11、12两月份平均每月降价的百分率是多少?
(2)如果房价继续回落,按此降价的百分率,你预测到今年2月份该市的商品房成交均价是否会跌破10000元/?请说明理由
14.
如图,在平面直角坐标系中,抛物线y=ax2+4x+cy轴交于点A(0,5),与x轴交于点EB,点B坐标为(5,0).
(1)求二次函数解析式及顶点坐标;
(2)过点AAC平行于x轴,交抛物线于点C,点P为抛物线上的一点(点PAC上方),作PD平行于y轴交AB于点D,问当点P在何位置时,四边形APCD的面积最大?并求出最大面积.
15.
某商场销售一款成本为40元的可控温杯,经过调查发现该产品每天的销售量y(件)与销售单价x(元)满足一次函数关系:y=﹣x+120.
(1)求出利润S(元)与销售单价x(元)之间的关系式(利润=销售额﹣成本);
(2)当销售单价定为多少时,该公司每天获取的利润最大?最大利润是多少元?
16.
如图,△ABC内接于⊙OBC是直径,⊙O的切线PACB的延长线于点POEACAB于点F,交PA于点E,连接BE
(1)判断BE与⊙O的位置关系并说明理由;
(2)若⊙O的半径为4,BE=3,求AB的长.
17.
如图,△ABC内接于⊙O.
(1)作∠B的平分线与⊙O交于点D(用尺规作图,不用写作法,但要保留作图痕迹);
(2)在(1)中,连接AD,若∠BAC=60°,∠C=66°,求∠DAC的大小.
试卷分析
  • 【1】题量占比

    单选题:(5道)

    选择题:(2道)

    填空题:(3道)

    解答题:(7道)

  • 【2】:难度分析

    1星难题:0

    2星难题:0

    3星难题:0

    4星难题:0

    5星难题:0

    6星难题:9

    7星难题:0

    8星难题:3

    9星难题:3