问题 问答题

如图所示,F1、F2、F3和F4为同一水平面内的四个共点力,它们的大小分别是F1=2N、F2=3N、F3=3

3
 N、F4=4N,它们之间的夹角依次为60°、90°和150°,F1的方向为正东方向.试用正交分解法求它们合力的大小和方向.

答案

1、建立坐标系如图.

    2、根据平行四边形定则将各力垂直分解到两个坐标轴上.

    3、分别求出x轴和y轴上的合力,

x轴方向的合力Fx=F1+F2cos60°+F4cos60°-F3cos30°=1N

y轴方向的合力Fy=F2sin60°+F3sin30°-F4sin60°=

3
N

所以四个力的合力大小为

F=

F2x
+
F2y
=2N,方向东偏北60°.

答:四个力的合力大小为2N,方向东偏北60°.

填空题
完形填空
完形填空。
     There was a time when I thought my dad didn't know a thing about being a good father. I couldn't   1  
him ever saying the words "I love you." It seems to me his only purpose in life was to say "  2  " to
anywhere I wanted to go and anything I wanted to do, including getting a   3  . Some parents bought their
kids cars when they got their driver's licenses. Not my dad -he said that I'd have to get a job and buy my
own.
     So that is what I did. I got a job at a very nice restaurant and    4   every penny I could and   5   I had
enough to buy my car, I did! The day I brought that car home, my dad was the first one I wanted to   6  
to.   "Look, dad, a car of my own. If you ever want a ride, I'll only   7   you five dollars." I offered with a
smile.
    "I see," was all he said.
     One day, there was something wrong with my father's truck. So he needed a   8   to work. The sun
wasn't even up when we left the house ,   9   it was already getting warm out. It was going to be a(n)   10  
day. As I dropped my dad off, I   11   him, dressed in his work clothes, getting his   12   from the truck
(车尾箱) of my car. Watching his sun-weathered face, and even from a distance I could tell there were
   13   lines than I ever remembered being there before. I realized how hard my dad works for the family.
My father is a cement finisher(水泥修整工).
      At that moment, it   14   to me that he actually got down on his hands and knees to sweat over hot
concrete(混凝土) to make a living for his family. And he did this day in and day out,   15  hot it got.
Never, not once, had I heard him   16   about it. To him we were "worth" it. And never once did he
"charge" us for it.
     When he closed the trunk, his tools set off to the side, he walked over to my window to   17   me
five dollars. I rolled down the window and said "Good-bye, dad. Keep your five dollars. It's my   18_ .
Don't work too hard. I love you."
     His   19   met mine, then glanced away in the direction of his waiting tools, he   20   his throat(喉咙,
嗓子) and said, "Oh, and…
( )1. A. like      
( )2. A. Sorry          
( )3. A. car            
( )4. A. spent        
( )5. A. when          
( )6. A. pay it back    
( )7. A. pay            
( )8. A. ride          
( )9. A. as            
( )10. A. ordinary    
( )11. A. helped        
( )12. A. tools        
( )13. A. fewer        
( )14. A. happened      
( )15. A. whatever      
( )16. A. talk          
( )17. A. hand          
( )18. A. help          
( )19. A. hands        
( )20. A. cleaned                               
B. remember    
B. Yes            
B. friend        
B. earned        
B. if            
B. hand it over  
B. charge        
B. leave          
B. although      
B. hot            
B. followed      
B. clothes        
B. more          
B. seemed        
B. whenever      
B. complain      
B. bring          
B. advice        
B. smile          
B. wiped          
C. forget
C. No          
C. job          
C. kept        
C. because      
C. turn it up  
C. offer        
C. trip        
C. but          
C. work        
C. left        
C. luggage      
C. longer      
C. occurred    
C. wherever    
C. ask          
C. lend        
C. treat        
C. voice        
C. cleared      
D. care          
D. Well          
D. present        
D. saved          
D. though        
D. show it off    
D. provide        
D. hurry          
D. since          
D. special        
D. watched        
D. bag            
D. deeper        
D. appeared      
D. however        
D. speak          
D. take          
D. reply          
D. eyes          
D. felt