问题 解答题

数轴上A对应的数为a,B对应的数为b,且满足|a-12|+|b+6|=0,O为原点,

(1)求a,b的值,并在数轴上标出A、B.

(2)数轴上A以每秒3个单位,B以每秒1个单位的速度同时出发向左运动,在C点处A追上了B,求C点对应的数是多少?

(3)若点A原地不动,点B仍然以每秒1个单位的速度向左运动,M为线段OB的中点,N为线段AB的中点,在点B的运动过程中,线段MN的长是否变化?若变化说明理由;若不变,求出其长度.

答案

(1)∵|a-12|+|b+6|=0,

∴a-12=0,b+6=0,

解得a=12,b=-6,

在数轴上表示为:

(2)设时间为t秒,则

3t-t=12+6,

解得t=9,

C点表示的数为-6-9=-15;

(3)B点表示的数为-6-t,

∴M点表示的数为-3-

t
2

N点表示的数为3-

t
2

∴|MN|=|(3-

t
2
)-(-3-
t
2
)|=6.

完形填空
Mr Green had a little boy. Every day had work he came home and played with his son.
One night ,while Mr Green was at work, he __41__ that he had extra work to do for the evening ,and that he wouldn’t be able to play with his son._____42____ he wanted to give the boy something to keep him  __43__. So , looking around his office , he saw a   44  with a large map of the world on the cover(封面). He got an ___45 ____ He removed the map , tore(撕) it up into small pieces and put all the pieces in his coat pocket.
When he got home , the little boy came running to him and was ready to play. Mr Green ___46___that he had extra work to do and couldn’t play at the moment . Then he   ___47__  all the pieces of the map and put them on the table . He said to the  boy,”_48__” was a map of the world, and  ___49___th time you put it back together, my extra work will be finished, and we can ___50___”. Surely, this would keep the child busy for   ___51___  , he thought.
About half an hour later the boy came to Mr Green and said,” Okay, it’s  ___52___ . Can we play now?”
Mr Green said ,“That’s amazing!_____54  did you do that?” The boy said, “It was    55 . On the back of the page was a picture of a man . When I put the man together the whole world fell into place.”
小题1:
A.imaginedB.realizedC.dreamedD.revealed
小题2:
A.AlthoughB.SinceC.ButD.Because
小题3:
A.embarrassedB.smartC.busyD.tiring
小题4:
A.bagB.deskC.coatD.magazine
小题5:
A.accidentB.opinionC.ideaD.explanation
小题6:
A.consideredB.agreedC.explainedD.decided
小题7:
A.showed upB.took outC.set upD.put into
小题8:A .It          B  He             C. She       D. One
小题9:A .by         B  at              C. in        D. for
小题10:A .work       B play             C. eat        D. sleep
小题11:A .weeks      B days             C. minutes     D. hours
小题12:
A.usedB.enjoyedC.boughtD.finished
小题13:
A.easyB.impossibleC.trueD.important
小题14:
A.HowB.WhyC.WhatD.When
小题15:
A.simpleB.difficultC.confusingD.misleading
单项选择题