问题 填空题
求和:1+
1
1+2
+
1
1+2+3
+…+
1
1+2+3+…+n
=______.
答案

an=

1
1+2+3+…+n
=
2
n(n+1)

∴Sn=a1+a2+a3+…+an

=2(

1
1×2
+
1
2×3
+
1
3×4
+…+
1
n×(n+1)

=2×(1-

1
2
+
1
2
-
1
3
+
1
3
-
1
4
+…+
1
n
-
1
n+1
)

=2(1-

1
n+1
)=
2n
n+1

故答案:

2n
n+1

完形填空
完形填空。
     It was a Saturday afternoon. Mr. Green was reading a newspaper. Suddenly he heard his wife  1  in the
next room. He hurried to her and asked, "What happened to you. my dear?"
     "Oh, dear!" his wife cried out, "My head hurts!  2   a doctor. Hurry up!" Their two children were both  3   
at that moment and something was wrong with the telephone. Mr. Green  4  go to a hospital himself. Bad luck!
All the hospitals in the town were  5  that day.
      Mr. Green didn't know  6 . Just then his friend, Mr. Brown, saw him and asked."What is  7 ?"
      Mr. Green told him everything. The man.said."Why not turn to  8 ? He can help you." Mr. Green
remembered his friend, Mr. Black was a good doctor. He hurried to Mr. Black's.
     When he got there, Mr. and Mr. Black were having their  9   meal. The doctor asked Mr. Green to drink
with him. He was happy and sat  10 . After that they began to chat. And when Mrs. Black asked, "How is you
wife?" "She is fine, thanks…" Mr. Green stopped at once - he remembered his wife was waiting for a doctor
at home. 
( )1. A. crying    
( )2. A. Look for  
( )3. A. in        
( )4. A. should    
( )5. A. expensive 
( )6. A. when to go
( )7. A. the matter
( )8. A. Mr. Brown 
( )9. A. lunch     
( )10. A. in bed   
B. laughing 
B. Wait for 
B. out      
B. could    
B. open     
B. how to do
B. the wrong
B. Mr. Black
B. supper   
B. on floor 
C. whispering  
C. Send for    
C. up          
C. had to      
C. free        
C. where to go 
C. trouble     
C. Mr. Green   
C. morning     
C. at the table
D. singing          
D. Ask for          
D. down             
D. was able lo      
D. closed           
D. what to deal with
D. problem          
D. Mrs. Green       
D. evening          
D. at home                                 
问答题 案例分析题