湘教版九年级数学上册第二章一元二次方程单元评估检测试卷

适用年级:初三
试卷号:607143

试卷类型:单元测试
试卷考试时间:2019/1/10

1.单选题(共5题)

1.
已知方程x2﹣6x+q=0可以配方成(x﹣p)2=7的形式,那么q的值是(  )
A.9B.7C.2D.-2
2.
用配方法将方程变形,正确的是( )
A.(x-3)2=20B.(x-3)2=2C.(x+3)2=2D.(x+3)2=20
3.
如图,在▱ABCD中,AE⊥BC于E,AE=EB=EC=a,且a是一元二次方程x2+2x-3=0的根,则▱ABCD的周长为( )
A.4+2B.12+6C.2+2D.2+或12+6
4.
关于x的方程kx2+2x﹣1=0有实数根,则k的取值范围是(  )
A.k≥﹣1B.k≥﹣1且k≠0C.k≤﹣1D.k≤1且k≠0
5.
如图,在宽度为20m,长为32m的矩形地面上修筑同样宽的道路(图中阴影部分),余下的部分种上草坪,要使草坪的面积为540m2 , 求道路的宽.如果设小路宽为xm,根据题意,所列方程正确的是(  )

A. (20+x)(32﹣x)=540    B. (20﹣x)(32﹣x)=100
C. (20﹣x)(32﹣x)=540 D. (20+x)(32﹣x)=540

2.选择题(共2题)

6.假定英语课上老师要求同桌之间交换修改作文,请你修改你同桌写的以下作文。文中共有10处语言错误,每句中最多有两处。每处错误仅涉及一个单词的增加、删除或修改。

增加:在缺词处加一个漏字符号(∧),并在其下面写出该加的词。

删除:把多余的词用斜线(\)划掉。

修改:在错的词下划一横线,并在该词下面写出修改后的词。

注意:1).每处错误及其修改均仅限一词;

2).只允许修改10处,多者(从第11处起)不计分。

Dear friends,

    Do you want to live in a beautifully world? If so, this is our duty to protect the environment.

    We can just started from little things around us. First, we can stick to habit of walking to school instead of take a car or a bus. Second, it's also importance to reuse everything and value our school's environment by picking up rubbish and turning on the lights. Besides, it is necessary what we should protect flowers and trees. And also by growing different plant, we can make our world green. Let's all to take action now and try our best to protect the environment.

Thank you!

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8题)

8.
x=﹣1是关于x的一元二次方程x2+3x+m+1=0的一个解,则m的值为______.
9.
已知2是关于x的一元二次方程x2-x+k=0的一个根,那么k=______,另一根是_______
10.
一元二次方程+px-2=0的一个根为2,则p的值________.
11.
方程(x﹣1)2=4的解为_____.
12.
有三个连续的自然数,已知其中最大的一个数比另外两个数的积还大1,那么这个最大的数是___.
13.
某菱形的两条对角线长都是方程x2-6x+8=0的根,则该菱形的周长为    
14.
已知方程x2+mx+3=0的一个根是1,则它的另一个根是______
15.
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3题)

16.
已知等腰三角形的一边长为3,它的其它两边长恰好是关于x的一元二次方程x2-8x+m=0的两个实数根,求m的值.
17.
某公司今年销售一种产品,1月份获得利润20万元,由于产品畅销,利润逐月增加,3月份的利润比2月份的利润增加4.8万元,假设该产品利润每月的增长率相同,求这个增长率.
18.
已知 是关于x的一元二次方程 的两个不相等的实数根,且满足 ,求m的值.
试卷分析
  • 【1】题量占比

    单选题:(5道)

    选择题:(2道)

    填空题:(8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:8

    7星难题:0

    8星难题:4

    9星难题:4