云南省玉溪市新平县戛洒第二中学2018-2019学年八年级期末模拟考试(12月月考)数学试题

适用年级:初二
试卷号:184586

试卷类型:月考
试卷考试时间:2019/1/6

1.单选题(共8题)

1.
是完全平方式,则的值等于(  )
A.B.C.D.
2.
若a+b=﹣3,ab=1,则a2+b2=(  )
A.-11B.11C.-7D.7
3.
若分式的值为0,则x的值等于(  )
A.0B.±3C.3D.﹣3
4.
如图,在Rt△ADB中,∠D=90°,BC是∠ABD的角平分线,交AD于点C,且∠A=50°,则∠ACB的度数为(  )
A.110°B.120°C.130°D.140°
5.
在等腰三角形ABC中,AB=AC=8cm,腰AB的垂直平分线交另一腰ACD,若△BCD的周长为10cm,则底边BC的长为(  )
A.1cmB.2cmC.3cmD.4cm
6.
下列计算中,正确的是(  )
A.(a24=a6B.a8÷a4=a2C.(ab23=ab6D.a2a3=a5
7.
1.在以下绿色食品、回收、节能、节水四个标志中,是轴对称图形的是(  )
A.B.C.D.
8.
如图,将矩形纸片ABCD折叠,使点D与点B重合,点C落在C′处,折痕为EF,若AB=4,BC=8,则△BCF的周长为(  )
A.12B.16C.20D.24

2.选择题(共5题)

9.—Is she Mary? 

—Yes. _______ name is Mary Green.

10.—Is she Mary? 

—Yes. _______ name is Mary Green.

11.

短文改错。文中共有10处语言错误,每句中最多有两处。每处错误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:在错的词下面画一横线,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 Xiaohua,

    It is four days since mother recieves the operation. She is feeling much more better. The doctors told me the operation was successful, but because her old age she had to stay in hospital for other two weeks. The doctors also say it was quite necessary for him to do so. We expect to get a full report in two and three days. Please tell the good news to the rest of the family as soon as possible. You need't come here. I'm able to look at mother by myself. You can send some flower to her. She will feel very happily.

Yours,

Xiaohua

12.

短文改错。文中共有10处语言错误,每句中最多有两处。每处错误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:在错的词下面画一横线,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 Xiaohua,

    It is four days since mother recieves the operation. She is feeling much more better. The doctors told me the operation was successful, but because her old age she had to stay in hospital for other two weeks. The doctors also say it was quite necessary for him to do so. We expect to get a full report in two and three days. Please tell the good news to the rest of the family as soon as possible. You need't come here. I'm able to look at mother by myself. You can send some flower to her. She will feel very happily.

Yours,

Xiaohua

13.Play sports every day, and you will keep healthy.

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3.填空题(共5题)

14.
若分式有意义,则的取值范围是__________。
15.
红细胞的平均直径为,将0.0000077用科学记数法表示为__________.
16.
如图,在平面直角坐标系xOy中,A(2,1)、B(4,1)、C(1,3).若△ABC与△ABD全等,则点D坐标为_____.
17.
如图,在△ABC中,BD平分∠ABCEDBC,已知AB=3,AD=1,则△AED的周长为_____.
18.
若一个等腰三角形的两边长分别是6和12,则它的周长为____________。

4.解答题(共8题)

19.
计算下列各题:
(1)﹣(1﹣π)0+(1
(2)(2a+b2﹣(2a+b)(2ab
20.
观察下列分解因式的过程:
x2+2ax﹣3a2
=x2+2ax+a2a2﹣3a2(先加上a2,再减去a2
=(x+a2﹣4a2(运用完全平方公式)
=(x+a+2a)(x+a﹣2a)(运用平方差公式)
=(x+3a)(xa
像上面那样通过加减项配出完全平方式后再把二次三项式分解因式的方法,叫做配方法.
请你用配方法分解因式:m2﹣4mn+3n2
21.
先简化,再求值:(1+)+,其中x=3.
22.
某中学在商场购买甲、乙两种不同的运动器材,购买甲种器材花费1 500元,购买乙种器材花费1 000元,购买甲种器材数量是购买乙种器材数量的2倍,且购买一件乙种器材比购买一件甲种器材多花10元.
(1)求购买一件甲种器材、一件乙种器材各需多少元?
(2)该中学决定再次购买甲、乙两种运动器材共50件,恰逢该商场对两种运动器材的售价进行调整,甲种器材售价比第一次购买时提高了10%,乙种器材售价比第一次购买时降低了10%,如果此次购买甲、乙两种器材的总费用不超过1 700元,那么这所学校最多可购买多少件乙种器材?
23.
如图,点BECF在同一直线上,∠A=∠DABDEBE=CF.求证:AC=DF
24.
如图,△ABC为等边三角形,点DE分别在BCAC边上,且AECDADBE相交于点PBQADQPQ=3,PE=1.
(1)求证:△ABE≌△CAD
(2) 求BE的长
25.
如图,已知:在△ABC中,AC=BC=4,∠ACB=120°,将一块足够大的直角三角尺PMN(∠M=90°,∠MPN=30°)按如图放置,顶点P在线段AB上滑动,三角尺的直角边PM始终经过点C,并且与CB的夹角∠PCB=α,斜边PNAC于点D.
(1)当PNBC时,判断△ACP的形状,并说明理由;
(2)点P在滑动时,当AP长为多少时,△ADP与△BPC全等,为什么?
(3)点P在滑动时,△PCD的形状可以是等腰三角形吗?若可以,请求出夹角α的大小;若不可以,请说明理由.
26.
如图,在△ABC中,AB=ACDBC的中点,DEAB于点EDFAC于点F
(1)求证:DE=DF
(2)如果SABC=14,AC=7,求DE的长.
试卷分析
  • 【1】题量占比

    单选题:(8道)

    选择题:(5道)

    填空题:(5道)

    解答题:(8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:12

    7星难题:0

    8星难题:5

    9星难题:4