湖南省醴陵市第三中学2019届九年级上学期期末考试数学试题

适用年级:初三
试卷号:193015

试卷类型:期末
试卷考试时间:2019/2/5

1.单选题(共8题)

1.
十九大报告指出,我国目前经济保持了中高速增长,在世界主要国家中名列前茅,国内生产总值从54万亿元增长80万亿元,稳居世界第二,其中80万亿用科学记数法表示为(   )
A.8×1012B.8×1013C.8×1014D.0.8×1013
2.
下列运算正确的是(  )
A.992=(100﹣1)2=1002﹣1B.3a+2b=5ab
C.=±3D.x7÷x5x2
3.
如图,在△ABC中,∠A=80°,点D在BC的延长线上,∠ACD=145°,则∠B是(  )
A.45°B.55°C.65°D.75°
4.
某商人在一次买卖中均以120元卖出两件衣服,一件赚25%,一件赔25%,在这次交易中,该商人(  )
A.赚16元B.赔16元C.不赚不赔D.无法确定
5.
在一次中学生田径运动会上,参加跳远的15名运动员的成绩如下表所示
成绩(米)
4.50
4.60
4.65
4.70
4.75
4.80
人数
2
3
2
3
4
1
 
则这些运动员成绩的中位数、众数分别是(  )
A.4.65、4.70B.4.65、4.75C.4.70、4.75D.4.70、4.70
6.
四个实数-2,0,-,-1中,最大的实数是(  )
A.-2B.0C.-D.-1
7.
已知点(-2,y1),(-1,y2),(1,y3)都在直线y=-3x+b上,则y1,y2,y3的值的大小关系是(    )
A.B.C.D.
8.
如图,在菱形ABCD中,∠B=60°,AB=1,延长AD到点E,使DEAD,延长CD到点F,使DFCD,连接ACCEEFAF,则下列描述正确的是(  )
A.四边形ACEF是平行四边形,它的周长是4
B.四边形ACEF是矩形,它的周长是
C.四边形ACEF是平行四边形,它的周长是
D.四边形ACEF是矩形,它的周长是

2.选择题(共1题)

9.

阅读理解

    Here is an astonishing and significant fact: Mental work alone can't make us tire. It sounds absurd. But a years ago, scientists tried to find out how long the human brain could labor without reaching a stage of fatigue (疲劳). To the amazement of these scientists, they discovered that blood passing through the brain, when it is active, shows no fatigue at all! If we took a drop of blood from a day laborer, we would find it full of fatigue toxins(毒素) and fatigue products. But if we took blood from the brain of an Albert Einstein, it would show no fatigue toxins at the end of the day.

    So far as the brain is concerned, it can work as well and swiftly at the end of eight or even twelve hours of effort as at the beginning. The brain is totally tireless. So what makes us tired?

    Some scientists declare that most of our fatigue comes from our mental and emotional(情绪的) attitudes. One of England's most outstanding scientists, J.A. Hadfield, says, “The greater part of the fatigue from which we suffer is of mental origin. In fact, fatigue of purely physical origin is rare.” Dr. Brill, a famous American scientist, goes even further. He declares, “One hundred percent of the fatigue of sitting worker in good health is due to emotional problems.”

    What kinds of emotions make sitting workers tired? Joy? Satisfaction? No! A feeling of being bored, anger, anxiety, tenseness, worry, a feeling of not being appreciated---those are the emotions that tire sitting workers. Hard work by itself seldom causes fatigue. We get tired because our emotions produce nervousness in the body.

3.填空题(共5题)

10.
因式分解:2a2﹣2=_____.
11.
如图将一直角三角板的直角顶点放置在两边互相平行的纸条的边上,若∠1=35°,则∠2的大小为_______度.
12.
一个等腰三角形的两边长分别为4cm和9cm,则它的周长为__cm.
13.
对于实数ab,我们定义符号max{ab}的意义为:当ab时,max{ab}=a;当ab时,max{ab]=b;如:max{4,﹣2}=4,max{3,3}=3,若关于x的函数为ymax{x+3,﹣x+1},则该函数的最小值是_____.
14.
如图,矩形纸片ABCD中,AB=4,BC=6,将△ABC沿AC折叠,使点B落在点E处,CE交AD于点F,则DF的长等于_________.

4.解答题(共3题)

15.
某文具店购进AB两种钢笔,若购进A种钢笔2支,B种钢笔3支,共需90元;购进A种钢笔3支,B种钢笔5支,共需145元.
(1)求该文具店购进AB两种钢笔每支各多少元?
(2)经统计,B种钢笔售价为30元时,每月可卖64支;每涨价3元,每月将少卖12支,求该文具店B种钢笔销售单价定为多少元时,每月获利最大?最大利润是多少元?
16.
解不等式组:,并把解集在数轴上表示出来.
17.
平面直角坐标系xOy中,横坐标为a的点A在反比例函数y1(x>0)的图象上,点A′与点A关于点O对称,一次函数y2=mx+n的图象经过点A′.
(1)设a=2,点B(4,2)在函数y1、y2的图象上.
①分别求函数y1、y2的表达式;
②直接写出使y1>y2>0成立的x的范围;
(2)如图①,设函数y1、y2的图象相交于点B,点B的横坐标为3a,△AA'B的面积为16,求k的值;
(3)设m=,如图②,过点A作AD⊥x轴,与函数y2的图象相交于点D,以AD为一边向右侧作正方形ADEF,试说明函数y2的图象与线段EF的交点P一定在函数y1的图象上.
试卷分析
  • 【1】题量占比

    单选题:(8道)

    选择题:(1道)

    填空题:(5道)

    解答题:(3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:5

    7星难题:0

    8星难题:3

    9星难题:8