山东省德州市六校2019届九年级10月联考数学试题

适用年级:初三
试卷号:632638

试卷类型:月考
试卷考试时间:2018/10/26

1.单选题(共12题)

1.
已知对于数a、b、c、d,规定一种运算 =ad-bc,那么当 =25时,则 =(    )
A.B.C.D.
2.
若分式的值为0,则x的值是
A.-3B.-2C.0D.2
3.
下列分式是最简分式的是(  )
A.B.C.D.
4.
下列长度的三根小木棒,能构成三角形的是
A.2cm,5cm,7cmB.6cm,10cm,17cm
C.5cm,5cm,12cmD.12cm,15cm,20cm
5.
下列说法不正确的是(  )
A. 三角形的中线在三角形的内部
B. 三角形的角平分线在三角形的内部
C. 三角形的高在三角形的内部
D. 三角形必有一高线在三角形的内部
6.
已知如图所示的两个三角形全等,则∠α的度数是(  )
A.72°B.60°C.50°D.58°
7.
已知等腰三角形的一个底角的度数为70°,则另外两个内角的度数分别是(  )
A.55°,55°B.70°,40°
C.55°,55°或70°,40°D.以上都不对
8.
下列等式错误的是(  )
A.B.
C.D.
9.
货车行驶 25 千米与小车行驶 35 千米所用时间相同,已知小车每小时比货车多行驶 20千米,求两车的速度各为多少?设货车的速度为 x 千米/小时,依题意列方程正确的是(   )
A.B.C.D.
10.
如图所示的汽车标志图案中,是轴对称图形的个数是(  )
A.1个B.2个C.3个D.4个
11.
已知图中的两个三角形全等,则∠α的度数是(  )
A.72°B.60°C.58°D.50°
12.
(2016福建省莆田市)如图,OP是∠AOB的平分线,点CD分别在角的两边OAOB上,添加下列条件,不能判定△POC≌△POD的选项是(  )
A.PCOAPDOBB.OC=ODC.∠OPC=∠OPDD.PC=PD

2.选择题(共1题)

13.

根据短文理解选择正确答案。

      Everyone needs friends. Friends bring us happiness and hope in our lives. But the ability to make friends changes from person to person. To some people, making friends is easy, and to others it's very difficult.

      Making friends is a skill, and the first thing is to know how to get on with others.

      If you have trouble in making friends, maybe I can tell you how to do it.

      ★Realize your own good points. You have skills and talents(才能) that others will like.

      ★ Believe that you are a good person and have something nice to share with others.

      ★ Be humourous. Learn to laugh at yourself and your weakness. Remember to smile at others.

      ★ Respect(尊敬) others. Everyone has his own idea. Learn how to listen to others’ ideas without trying to make them accept(接受) yours.

      ★ Be kind. If you are kind to others, they will usually be kind to you. There are hundreds of little things you can do to show your kindness. Open the door for someone. Wave to a friend and so on.

      ★  Don't complain(抱怨). Learn to accept what you can't change, and work hard to change what you can. No one is willing to hear your complaints all the time.

      ★ Never give up. Even if you are faced with some closed-minded people, never give up. And try to find someone who will understand you.

3.填空题(共6题)

14.
关于的方程有增根,则______.
15.
如图,∠ACB=90°,AC=BC,AD⊥CE于D,BE⊥CD于E,AD=2.5cm,DE=1.6cm,则BE的长度为________.
16.
等腰三角形一腰上的高与另一腰的夹角为40°,则这个等腰三角形的一个底角的度数为_____.
17.
,则________.
18.
已知一个多边形的内角和是外角和的倍,则这个多边形的边数是________
19.
已知(ab)2=7,(ab)2=4,则ab 的值为_________.

4.解答题(共7题)

20.
(1)分解因式
 
(2)计算
   
21.
先化简再求值
(1),其中= 
(2) , 其中=
22.
(10分) 铭润超市用5000元购进一批新品种的苹果进行试销,由于销售状况良好,超市又调拨11000元资金购进该品种苹果,但这次的进货价比试销时每千克多了0.5元,购进苹果数量是试销时的2倍.
(1)试销时该品种苹果的进货价是每千克多少元?
(2)如果超市将该品种苹果按每千克7元的定价出售,当大部分苹果售出后,余下的400千克按定价的七折(“七折”即定价的70%)售完,那么超市在这两次苹果销售中共盈利多少元?
23.
如图,在四边形ABCD中,∠A=∠C=90°,BE平分∠ABC,BE∥DF,求证:DF平分∠ADC.
24.
如图所示,在△ABC中,∠C=90°,AD是∠BAC的平分线,DEABABEFAC上,BDDF.求证:(1)CFEB;(2)ABAF+2EB.
25.
如图,电信部门要在S区修建一座电视信号发射塔.按照设计要求,发射塔到两个城镇A、B的距离相等,到两条高速公路m、n的距离也必须相等.

(1)发射塔修建在什么位置?在图上标出它的位置.
(2)写出选址的理由.
26.
证明:等腰三角形的两个底角相等(请画出图形,并写出已知,求证和证明过程)
试卷分析
  • 【1】题量占比

    单选题:(12道)

    选择题:(1道)

    填空题:(6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:16

    7星难题:0

    8星难题:1

    9星难题:8