问题 填空题
在平面直角坐标系xoy中,椭圆C:
x2
25
+
y2
9
=1的左、右焦点分别为F1、F2,P为椭圆C上的一点,且PF1⊥PF2,则△PF1F2的面积为______.
答案

椭圆C:

x2
25
+
y2
9
=1的左、右焦点分别为F1(-4,0)、F2(4,0),

设P(x1,y1),由已知PF1⊥PF2,所以

PF1
PF2
=0,

即 (-4-x1,-y1)•(4-x1,-y1)=0,

∴x12+y12=16,

又因为

x12
25
+
y 22
9
=1,

解得 y1

9
4
,所以,△PF1F2的面积S=
1
2
×2c•|y1|=9

故答案为:9.

完形填空
完形填空
     I was fifteen months old, a happy kid until the day I fell.It was a__1__fall.I landed on a glass rabbit
which cut my eye badly enough to make it blind.Trying to save the eye, the doctors stitched (缝合) the
eyeball together where it was__2__, leaving a big ugly scar (疤痕) in the middle of my eye.The attempt
__3__, but my mother, in all of her wisdom, found another doctor who knew that if the eye were
removed__4__, my face would grow up badly distorted (扭曲), __5__my scarred, sightless, cloudy
and gray eye lived on with me.As I grew, this sightless eye in so many ways__6__me.
     I walked with my face looking at the__7__so that people would not see the__8__me.Yet my mother
would say to me, at every turn, "Hold your head up high and__9__the world.If you hold your head up
high, it will be OK, and people will see your__10__soul." She continued this__11__whenever I was
trying to hide.
     Mama's words were of great help for me to face the world__12__.As a teenager, even though I
tended to look down to hide my shame, I found that sometime when I held my head up high and let
people know me, they__13__me.In high school, I was__14__both academically  and socially.I was
__15__elected class president.My mother's words helped me begin to realize that by letting people
look at my face, I let them__16__the intelligence and beauty behind both eyes, even if they couldn't
see it on the__17__.
     Now I'm a happy wife and great mother.The message "Hold your head up high" has been__18__
many times in my__19__home.Each of my children has felt__20__invitation, and the gift my mother
gave me has lived on in another generation.
( )1. A.surprising      
( )2. A.separated      
( )3. A.failed          
( )4. A.quickly      
( )5. A.then          
( )6. A.protected      
( )7. A.floor        
( )8. A.shy            
( )9. A.deal with      
( )10. A.different      
( )11. A.sentence      
( )12. A.bravely        
( )13. A.disliked      
( )14. A.comfortable    
( )15. A.nearly        
( )16. A.touch        
( )17. A.surface    
( )18. A.discussed    
( )19. A.brave    
( )20. A.their    
B. sudden      
B. destroyed    
B. tried        
B. entirely    
B. if          
B. affected    
B. world        
B. elderly      
B. see          
B. beautiful    
B. passage      
B. proudly      
B. liked        
B. valuable    
B. even        
B. observe      
B. outing      
B. heard        
B. peaceful    
B. my          
C.  big          
C.  cut          
C.  succeeded    
C.  carefully    
C.  still        
C.  stopped      
C.  front        
C.  ugly          
C.  laugh at      
C.  lonely        
C.  opinion      
C.  simply        
C.  hated        
C.  successful    
C.  hardly        
C.  watch        
C.  head        
C.  talked        
C.  sweet      
C.  its        
D. bad        
D. hurt      
D. managed    
D. slowly    
D. so        
D. interrupted
D. people    
D. strange    
D. face      
D. honest    
D. message    
D. fairly    
D. noticed    
D. special    
D. still      
  D. recognize  
  D. scar      
  D. written    
  D. exciting  
  D. her        
单项选择题