辽宁省丹东市第十四中学2019届九年级第二次模拟考试数学试题

适用年级:初三
试卷号:64662

试卷类型:中考模拟
试卷考试时间:2019/6/21

1.单选题(共7题)

1.
相反数的倒数是(   )
A.B.C.5D.
2.
以方程组的解为坐标的点(x,y)在平面直角坐标系中的位置是(   )
A.第一象限B.第二象限C.第三象限D.第四象限
3.
(2011广西崇左,18,3分)已知:二次函数y=ax2+bx+ca≠0)的图象如图所示,下列结论中:①abc>0;②2a+b<0;③a+bmam+b)(m≠1的实数);④(a+c2b2;⑤a>1.其中正确的项是()
A.①⑤B.①②⑤C.②⑤D.①③④
4.
据统计,2015年在“情系桃源,好运丹东”的鸭绿江桃花观赏活动中,6天内参与人次达27.8万,用科学计数法将27.8万表示为().
A.2.78×106B.27.8×106
C.2.78×105D.27.8×105
5.
一组数据3,4,x,6,7的平均数是5,则这组数据的中位数和方差分别是(   )
A.4和2B.5和2C.5和4D.4和4
6.
若一个正多边形的一个外角是40°,则这个正多边形的边数是(   )
A.10B.9C.8D.6
7.
下列图形中,既是轴对称图形又是中心对称图形的是  
A.B.C.D.

2.选择题(共5题)

8.下列各组词语中,错别字最少的一组是()
9.下列各组词语中,错别字最少的一组是()
10.

关于南极洲的“世界之最”错误的叙述是(  )

11.

根据短文内容,完成下列表格。

      An American named Crum invented potato chips in 1853, although that was not his intention (意图). He was a chef(厨师长) at a beautiful restaurant in Saratoga Springs, New York. A regular dish on the menu was fried (油炸的) potatoes, which was an idea that had started in France. At that time, French fried potatoes were cut into thick slices (片).

      One day, a dinner guest at the restaurant sent back his fried potatoes to the chef because he did not like them so thick. So Mr. Crum cut the potatoes a little thinner and fried them. The guest did not like those either. That made Mr. Crum angry, so he thought he would just show the man. He sliced the potatoes paper-thin and fried them, thinking that the man would say nothing about it. However, to his surprise, the man loved the thin potatoes very much. Other guests tried them and also liked them. So, Mr. Crum's potato chips were added to the menu. They were called Saratoga Chips.

      Finally, Mr. Crum opened his own restaurant to sell his famous chips. Now potato chips are packaged (包装) and sold in stores.

Who invented {#blank#}1{#/blank#}?

{#blank#}2{#/blank#} was an American chef at a restaurant.

A dinner guest {#blank#}3{#/blank#} his fried potatoes to the chef because they were so thick.

The chef was probably glad in the end because {#blank#}4{#/blank#}.

Now potato chips are packaged and sold {#blank#}5{#/blank#}.

12.

两条异面直线在同一平面内的射影不可能是(  )


3.填空题(共5题)

13.
不等式组的解集为    
14.
如图,矩形ABCD的对角线BD经过坐标原点,矩形的边分别平行于坐标轴,点C在反比例函数的图象上,若点A的坐标为(-2,-2),则k的值为________.
15.
(2011?菏泽)如图是正方体的展开图,则原正方体相对两个面上的数字之和的最小值的是  
16.
如图,∠1=∠2=40°,MN平分∠EMB,则∠3=_____°.
17.
关于的分式方程的解为正数,则的取值范围是___________.

4.解答题(共4题)

18.
小明到一家批发兼零售的文具店给九年级学生购买考试用2B铅笔,请根据下列情景解决问题.

(1)这个学校九年级学生总数在什么范围内?
(2)若按批发价购买6支与按零售价购买5支的所付款相同,那么这个学校九年级学生有多少人?
19.
如图①,在平面直角坐标系中,ニ次函数的图像与坐标轴交于A,B,C三点,其中点A的坐标为(-3,0),点B的坐标为(4,0),连接AC,B
A.动点P从点A出发,在线段AC上以每秒1个单位长度的速度向点C作匀速运动;同时,动点Q从点0出发,在线段OB上以每秒1个单位长度的速度向点B作匀速运动,当其中一点到达终点时,另一点随之停止运动,设运动时间为t秒.连接PQ
(1)填空:b=_, c=_;
(2)在点P,Q运动过程中,△APQ可能是直角三角形吗?请说明理由;
(3)如图2,点N的坐标为,线段PQ的中点为H,连接NH,当点Q关于直线NH的对称点Q`恰好落在线段BC上时,请直接写出点Q`的坐标
20.
为了扩大内需,让惠于农民,丰富农民的业余生活,鼓励送彩电下乡,国家决定对购买彩电的农户实行政府补贴.规定每购买一台彩电,政府补贴若干元,经调查某商场销售彩电台数y(台)与补贴款额(元)之间大致满足如图①所示的一次函数关系.随着补贴款额的不断增大,销售量也不断增加,但每台彩电的收益(元)会相应降低且之间也大致满足如图②所示的一次函数关系.

(1)在政府未出台补贴措施前,该商场销售彩电的总收益额为多少元?
(2)在政府补贴政策实施后,分别求出该商场销售彩电台数和每台家电的收益与政府补贴款额之间的函数关系式;
(3)要使该商场销售彩电的总收益(元)最大,政府应将每台补贴款额定为多少?并求出总收益的最大值.
21.
如图1,A,B分别在射线OM,ON上,且∠MON为钝角,现以线段OA,OB为斜边向∠MON的外侧作等腰直角三角形,分别是△OAP,△OBQ,点C,D,E分别是OA,OB,AB的中点.
  
(1)求证:四边形OCED为平行四边形;
(2)求证:△PCE≌△EDQ
(3)如图2,延长PC,QD交于点R.若∠MON=150°,求证:△ABR为等边三角形。
试卷分析
  • 【1】题量占比

    单选题:(7道)

    选择题:(5道)

    填空题:(5道)

    解答题:(4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:1

    5星难题:0

    6星难题:7

    7星难题:0

    8星难题:3

    9星难题:5