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问题 解答题
已知函数|f(x)|=|x|
2-x2
的最大值为M，g（x）=x2-（2a+1）x+a2+M，a∈R．
（1）求M的值；
（2）解关于x的不等式g（x）＞x．
答案

（1）|f（x）|=|x|

2-x2
=
2x2-x4
=
-(x2-1)2+1
，

∴M=1

（2）M=1，∴g（x）＞x可化为x2-2（a+1）x+a2+1＞0即[x-（a+1）]2＞2a，

若a＜0，则x∈R；

若a=0，则x≠1；

若a＞0，则|x-（a+1）|＞

2a

∴x＞a+

2a
+1或x＜a-
2a
+1

完形填空
完形填空。

      One Saturday afternoon,my daughter Alice asked me, "Are all people the same even if the yare different
in color?"
      I thought for a minute,and then I said, "I'll explain, if you can just wait until we make a quick    1    in
the supermarket. I have something    2    to show you."
      In the supermarket, we bought some apples-red, green and yellow ones. Back home, I told Alice, "It's
time to    3    your question." I put one apple of each type on the table. Then I looked at Alice, who had a 
   4    look on her face.
      "People are like apples. They come in all different colors, shapes and sizes. On the outside,some of the

 apples may not    5    look as the others." As I was talking, Alice was    6    each one carefully. 
      Then, I took each of the apples and peeled (削皮) them, placing them back on the table, but on a
different place. 
      "Okay, Alice, tell me which is which." 
       She said, "I    7    tell. They all look the same now." "Take    8    of each one. See if that helps you
decide which one is which." 
       She took big bites,and then a huge smile came across her face, "People are just like apple! They are all
different, but once you     9    the outside,they're pretty much the same on the inside." 
       She totally   10   it, I didn't need to say or do anything else.

( )1. A．stop     
( )2. A．pleasant 
( )3. A．check    
( )4. A．worried  
( )5. A．still    
( )6. A．examining
( )7. A．mustn't 
( )8. A．a bite   
( )9.  A．put away 
( )10. A．made      		B．start            
B．encouraging    
B．mention         
B．satisfied        
B．even           
B．picking         
B．can't           
B．a deep breath  
B．get down        
B．took            		C．turn       
C．unusual  
C．answer       
C．proud      
C．only      
C．drawing      
C．shouldn't   
C．a break   
C．hand out    
C．got       		D．stay              
D．interesting      
D．improve             
D．curious          
D．ever              
D．packing             
D．needn't            
D．a close look    
D．take off          
D．did           
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改错题

阅读材料，回答问题。

材料一 如图

江南制造总局                 汉阳铁厂

材料二 翻开从鸦片战争到五四运动近80年的历史……人们发现温和的改良无法从根本上改变中国落后挨打的现实，必须彻底埋葬旧制度。于是人们举起义旗，发动革命，推翻旧王朝，建立了亚洲第一个共和国。然而这场革命引起的变化毕竟是有限的，清王朝皇冠落地，整个社会却依然笼罩在传统文化氛围中。

（1）材料一中的两个企业反映了近代中国哪一重大事件？应如何评价这一重大历史事件？

（2）材料二中所说的“改良”和“革命”分别指什么事件？结合所学知识指出“革命”的历史意义。

（3）近代先进的中国人为冲破传统文化氛围的束缚掀起了什么运动？有何作用？

（4）综合上述问题请你拟一个恰当的主题
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