问题 填空题
设F1,F2为椭圆
x2
a2
+
y2
b2
=1(a>b>0)
的焦点,过F1且垂直于x轴的直线与椭圆交于A,B两点,若△ABF2为锐角三角形,则该椭圆离心率e的取值范围是 ______.
答案

由题意知∠AF2F1  小于45°,故 tan∠AF2F1  ;=

|AF1|
|F1F2|
<1,即  
b2
a
2c
<1,

b2<2ac,a2-c2<2ac,e2+2e-1>0,∴e>

2
-1,或 e<-1-
2
 (舍去).

又 0<e<1,故有  

2
-1<e<1,

故答案为:

2
-1<e<1.

完形填空
完形填空。
     One day a great general ( * * ) asked his soldiers, "What's the strongest power in the world?" Four
of his soliders     1     their hands.  They all wanted to answer the question. The general asked the first
man to speak. The first man is younger     2     the other three, and he was not strong. He said, "My gun
is the strongest. It can kill     3    ." "Thank you.     4    , please."The second man was very strong. He
said,"I don't     5    . Soldiers use guns, so the soldier is the strongest."The     6     man said, "Soldiers use
guns,     7    our general gives orders (命令).So I think our general is the strongest."The fourth man was
the     8    . He said, "Love is the strongest. For love people don't     9     guns."The general smiled and 
   10    to him.
( )1. A. put out  
( )2. A. then      
( )3. A. someone  
( )4. A. Next      
( )5. A. know      
( )6. A. first    
( )7. A. and      
( )8. A. better    
( )9. A. use      
( )10. A. agreed  
B. put off        
B. than            
B. somebody        
B. OK              
B. think          
B. second          
B. but            
B. best            
B. start          
B. gave a big prize
C. put up            
C. and                
C.anyone            
C. Sorry              
C. have              
C. third              
C. still              
C. older              
C. put up            
C. brought much money
D. put away      
D. that          
D. all persons  
D. Not good      
D. agree        
D. fourth        
D. thus          
D. oldest        
D. take          
D. talked        
单项选择题