问题 填空题

函数f(x)=(x-1)2(x-2)2的极大值是______.

答案

∵f(x)=(x-1)2(x-2)2,∴f′(x)=2(x-1)(x-2)(2x-3);

令f′(x)=0,得可能的极值点x1=1,x2=

3
2
,x3=2.列表如下:

 x (-∞,1) 1 (1,
3
2
 
3
2
 (
3
2
,2)
 2 (2,+∞)
 f′(x)- 0+ 0- 0+
 f(x)↘ 极小值 极大值 极小值
∴f(
3
2
)=
1
16
是函数的极大值.

故答案为

1
16

完形填空
完形填空。 
     The tourism has become a very big  1       . Millions of people now  2        their holidays in other
countries. The travel companies say that spending holidays in   3       places can help people to understand
each other better. This can help towards peace (和平) and love among the 4        . These ideas may bring
good business,  5        they aren't true to life. Very  6         of today's tourists want to know the people of
the countries they are _7      . They just want a week or two of sunshine to lie on the  8 ___ by the sea.
Most tourists do not want to discover things for 9         . They   10      want to travel and stay with their
own families or friends for the whole holidays. The tourist business is really very easy for the travel
companies.
( )1. A. business  
( )2. A. live      
( )3. A. beautiful  
( )4. A. world      
( )5. A. while      
( )6. A. few        
( )7. A. visited    
( )8. A. boat      
( )9. A. himself    
( )10. A. just      
B. work      
B. pass      
B. familiar  
B. nations  
B. and      
B. a few    
B. visting  
B. ship      
B. herself  
B. still    
C. thing      
C. cost      
C. same      
C. states    
C.but        
C. little    
C. traveled  
C. sand      
C. themselves
C. yet        
D. matter      
D. spend        
D. different    
D. universe    
D. or          
D. a little    
D. traveling    
D. bank        
D. itself      
D. very much    
名词解释