漳州市2019~2018学年八年级(下)期末试卷及答案

漳州市2019~2018学年八年级(下)期末试卷及答案
漳州市2019~2018学年八年级(下)期末试卷及答案

O

C

D

B

A

P 1)

2017~2018学年下学期教学质量抽测

八年级 数学试卷 (北师大版)

(考试时间:120分钟 满分:150分)

友情提示:请把所有答案填涂到答纸上!请不要错位、越界答题!

注 意:在解答题中,凡是涉及到画图,可先用铅笔在答题卡上,然后必须用黑色签字笔

重描确认,否则无效. 一、选择题:(共10小题,每小题4分,满分40分.在每小题给出的四个选项中,只有一

项符合题目要求的,请在答题卡的相应位置填涂) 1.下列等式从左边到右边的变形,是因式分解的是

A .(3-a )(3+a )=9-a 2

B .x 2

-y 2

+1=(x +y )(x -y )+1 C .a 2+1=a ??? ?

?

+a a 1 D .m 2-2mn +n 2=(m -n )2

2.漳州市政府为了鼓励市民绿色出行,投资了一批城市公共自行车,收费如下:第1小

时内免费,1小时以上,每半小时收费0.5元(不到半小时按半小时计).马小跳刷卡时显示收费1.5 元,则马小跳租车时间x 的取值范围为 A .1<x ≤1.5 B .2<x ≤2.5 C .2.5<x ≤3 D .3<x ≤4 3.若分式

y

x y

x -+22有意义,则x ,y 满足 A .2x ≠y B .x ≠0且y ≠0

C .2x =y

D .2x +y =0

4.如图,OP 平分∠AOB ,点C ,D 分别在射线OA ,OB 上, 添加下列条件,不能判定△POC ≌△POD 的是 A .OC =OD B .∠CPO =∠DPO

C .PC =P

D D .PC ⊥OA ,PD ⊥OB

5.点P 是△ABC 内一点,且P 到△ABC 的三边距离相等,则P 是△ABC 哪三条线的交点 A .边的垂直平分线 B .角平分线 C .高线 D .中位线 6.如图,把线段AB 经过平移得到线段CD ,其中A ,B 的对应点

座 位 号

(第4题)

B

b

分别为C ,D .已知A (-1,0),B (-2,3),C (2,1), 则点D 的坐标为

A .(1,4)

B .(1,3)

C .(2,4)

D .(2,3) 7.解不等式

32+x <5

1

2-x ,解题依据错误的是 解:①去分母,得5(x +2)<3(2x -1) ②去括号,得5x +10<6x -3 ③移项,得5x -6x <-3-10 ④合并同类项,得-x <-13 ⑤系数化1,得x >13

A .②去括号法则

B .③不等式的基本性质1

C .④合并同类项法则

D .⑤不等式的基本性质2 8.下列各式正确的是 A .

b a =b

c ac B .b a =c b c a ++ C .b a ab 24=a 41 D .3131--+x x =9

6

2-x

9.已知四边形ABCD ,有以下4个条件:①AB ∥CD ;②AB =DC ;③AD ∥BC ;④AD =BC .从这4个条件中选2个,不能判定这个四边形是平行四边形的是 A .①② B .①③ C .①④ D .②④ 10.如图,在Rt △ABC 中,∠C =90°,BC =4,AB =6,点D 是边BC

上的动点,以AB 为对角线的所有□ADBE 中,DE 的最小值为 A .2 B .4 C .6 D .25

二、填空题(本小题共6小题,每小题4分,共24分.请将答案填入答题卡的相应位置) 11.如图,函数y =kx +b (k ≠0)的图像经过点(1,2),

则不等式kx +b >2的解集为 .

(第6题)

(第10题)

C

D

B

A

E

P N

M C

D

B A

E

N

M P 12.一个n 边形的内角和是外角和的2倍,则n 为 . 13.《算法统宗》记载古人丈量田地的诗:“昨日丈量地回,

记得长步整三十.广斜相并五十步,不知几亩及分厘.”其大意是:昨天丈量了田地回到家,记得长方形田的长为30步,宽 和对角线之和为50步.不知该田有向亩?请我帮他算一算,该田有 亩(1亩=240平方步).

14.如图,在□ABCD 中(AD >AB ),用尺规作图作射线BP 交AD 于点E ,若∠D =50°,则∠AEB = 度.

15.若方程

1-x m +2=1

1

-+x x 的解是正数,则m 的取值范围是 . 16.如图,在Rt △ABC 中,∠C =90°,AD =BE =2,点M ,P ,N 分别是DE ,BD ,AB 的中点,则△PMN 的周长= .

三、解答题(本大题共9小题,共86分,请在答题卡的相应位置解答) 17.(满分8分)因式分解:

(1)36-x 2

(2)ma 2

-2ma +m

18.(满分8分)

先化简,再求值:??? ??

+11x x -÷1

212

2++-x x x ,其中x =13+

(第11题)

(第14题)

(第16题)

C

D

B A

E 19.(满分8分)

某车间加工1200个零件后,采用新工艺,工效提升了20%,这样加工同样多的零件就少用10h ,采用新工艺前、后每小时分别加工多少个零件?

20.(满分8分)

如图,将△ABC 绕点A 顺时针旋转得到△ADE (点B ,C 的对应点分别是D ,E ),当点E 在BC 边上时,连接BD ,若∠ABC =30°,∠BDE =10°,求∠EAC .

21.(满分8分)

如图,△ABC 中,∠A =60°,∠C =40°,DE 垂直平分BC ,连接BD . (1)尺规作图:过点D 作AB 的垂线,垂足为F .(保留作图痕迹,不写作法) (2)求证:点D 到BA ,BC 的距离相等.

22.(满分10分)

C

D

B

A

(第20题)

(第21题)

如图,在直角坐标系中,A (-1,2),B (-4,-2).

(1)分别作点A ,B 关于原点的对称点C ,D ,并写出点C ,点D 的坐标; (2)依次连接AB ,BC ,CD ,DA ,并证明四边形ABCD

23.(满分10分)

如图,在□ABCD 中,∠BAD 的平分线交CD 于点E ,连接BE 并延长交AD 延长线于点F ,若AB =AF .

(1)求证:点D 是AF 的中点;

(2)若∠F =60°,CD =6,求□ABCD 的面积.

24.(满分12分)

已知直线y 1=mx +3n -1与直线y 2=(m -1)x -2n +2. (1)如果m =-1,n =1,当x 取何值时,y 1>y 2?

(2)如果两条直线相交于点A ,A 点的横坐标x 满足-2<x <13,求整数n 的值.

C

D

B

A F

E (第22题)

(第23题)

P A

B D

C

C

D B

A

P

25.(满分14分)

如图,在等腰△ABC 中,AC =BC ,D 在BC 上,P 是射线AD 上一动点.

(1)如图①,若∠ACB =90°,AC =8,CD =6,当点P 在线段AD 上,且△PCD 是等腰三

角形时,求AP 长. (2)如图②,若∠ACB =90°,∠APC =45°,当点P 在AD 延长线上时,探究PA ,PB ,

PC 的数量关系,并说明理由. (3)类比探究:如图③,若∠ACB =120°,∠APC =30°,当点P 在AD 延长线上时,请

直接写出表示PA ,PB ,PC 的数量关系的等式.

C

D

A

P 图 ①

图 ②

图 ③

【人教版】2017-2018年八年级下期末考试英语试题(含答案)

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( ) 6. When did Tony go to work in the old people’s home? A. Last weekend. B. Last month. C. Last summer. ( ) 7. What did Tony do for the old people? A. Read newspapers. B. Told stories. C. Cleaned the rooms. 听第7段材料,完成第8至9小题。 ( ) 8. Where are they going tomorrow? A. To the science museum. B. To the art museum. C. To the space museum. ( ) 9. How are they going there? A. Ride their bikes. B. Take the subway. C. Take the bus. 听第8段材料,完成第10至11小题。 ( ) 10. What time did Lucy call Jack yesterday evening? A. At 7:00. B. At 7:30. C. At 8:00. ( ) 11. Who was Jack with? A. His father. B. His mother. C. His friend. 听第9段材料,完成第12至14小题。 ( ) 12. What is Karen going to do using the computer? A. To play games. B. To check the e-mail. C. To buy things. ( ) 13. Where is Karen’s e-pal from? A. Australia. B. French. C. Canada. ( ) 14. What does Karen like doing? A. Traveling. B. Making friends. C. Cooking. 听第10段材料,完成第15至17小题。 ( ) 15. Where is the new library? A. On Ocean Road. B. Next to the museum. B. In London School. ( ) 16. What can they do in the video reading room? A. Listen to tapes. B. Borrow some books. C. Search the Internet. ( ) 17. When can they see a free film? A. On Tuesdays. B. On Saturdays. C. On Sundays. 听第11段材料,完成第18至20小题。 ( ) 18. Why hasn’t Amy done her math homework yet? A. Because it’s too difficult for her. B. Because she wants to wait for Daniel. C. Because she wants to watch TV first. ( ) 19. When are they going to meet after school? A. At four o’clock. B. At five o’clock. C. At six o’clock. ( ) 20. What subject can Amy help Daniel with? A. English. B. Science. C. Physics. 听第12段材料,完成第21至25小题。 ( ) 21. How long has the writer been living in the Taihe village?

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