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问题 填空题
下列几种说法正确的是______（将你认为正确的序号全部填在横线上）
①函数y=cos(
π
4
-3x)的递增区间是[-
π
4
+
2kπ
3
，
π
12
+
2kπ
3
]，k∈Z；
②函数f（x）=5sin（2x+ϕ），若f（a）=5，则f(a+
π
12
)＜f(a+
5π
6
)；
③函数f(x)=3tan(2x-
π
3
)的图象关于点(
5π
12
，0)对称；
④将函数y=sin(2x+
π
3
)的图象向右平移
π
3
个单位，得到函数y=sin2x的图象；
⑤在同一平面直角坐标系中，函数y=sin(
x
2
+
3π
2
)(x∈[0，2π])的图象和直线y=
1
2
的交点个数是1个．
答案

对于①函数y=cos(

π
4
-3x)=cos（3x-
π
4
），由 2kπ-π≤3x-
π
4
≤2kπ，k∈z，

解得 -

π
4
+
2kπ
3
≤x ≤
π
12
+
2kπ
3
，k∈z．

故函数的递增区间是 [-

π
4
+
2kπ
3
，
π
12
+
2kπ
3
]  ，k∈Z，故①正确．

对于②函数f（x）=5sin（2x+ϕ），若f（a）=5，故x=a 是函数的对称轴，且函数的周期等于π，

故函数在[a-

π
2
，a+
π
2
]上是单调增函数．

∵f(a+

π
12
)=f(a-
π
12
)，f(a+
5π
6
) =f(a-
π
6
)，a-
π
6
＜a-
π
12
，

∴f（ a-

π
6
 ）＜f（ a-
π
12
 ），即 f(a+
π
12
)＞f(a+
5π
6
)，故②不正确．

对于③函数f(x)=3tan(2x-

π
3
)，由于点(
5π
12
，0)在图象上，结合图象可得函数图象关于点(
5π
12
，0)对称，

故③正确．

对于④将函数y=sin(2x+

π
3
)的图象向右平移
π
3
个单位，得到函数y=sin[2（x-
π
3
）+
π
3
]=sin(2x-
π
3
) 的图象，

故④不正确．

对于⑤∵y=sin(

x
2
+
3π
2
)=-cos
x
2
，x∈[0，2π]，画出y=-cos
x
2
，x∈[0，2π]的图象，显然图象和y=
1
2
 

只有1个交点，故⑤正确．

故答案为：①③⑤．

填空题
Look at the pictures and fill in the blanks. 看图填空。
Word List
big       long      small       short        beside       tall        short
1. The ball is           the bus. 


2. The pencil is           . 
    The ruler is          . 


3. Mr. Wood is          . Kim is            .


4. The apple is           .   
   The orange is            .
                      
                                   
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阅读理解

阅读理解。

     Goal setting is a powerful process for thinking about your ideal future and for motivating yourself to

turn this vision of the future into reality. The process of setting goals helps you choose where you want to

get in life. By knowing exactly what you want to achieve, you know where you have to concentrate your

efforts. You'll at a quickly spot the distractions that would otherwise lure you from your course.

     More than this, properly-set goals can be incredibly motivating, and as you get into the habit of setting

and achieving goals. You'll find that your self-confidence builds fast.

     Goal setting techniques are used by top-level athletes, successful business people and achievers in all

fields. They give you long-term vision and short-term motivation. They focus your acquisition of knowledge, and help you to organize your time you're your resources so that you can make the very most of your

life.

By setting sharp, clearly defined goals you can measure and take pride in the achievement of those goals. You can see forward progress in what might previously have seemed a long pointless grind (苦差事). By

setting goals you will also raise your self-confidence, as you recognize your ability and competence in

achieving the goals that you have set.

     Goals are set on a number of different levels:First you create your "big picture" of what you want to

do with your life,and decide what large-scale goals you want to achieve. Second you break these down

into the smaller and smaller targets that you must hit to reach your lifetime goals. Finally, once you have

your plan, you start working down to the things you can do today. Start moving towards them so that you can achieve your goals step by step.

1. The underlined word "lure" in paragraph 1 can be replaced by  _______.

A. take          

B. manage        

C. arrange          

D. promise

2. In order to feel a sense of achievement, you should _________. 

A. turn a long pointless task into what you like

B. compare what you have done with your goals 

C. predict progress you hope to make in advance

D. set specific goals and manage to achieve them

3. What is the last paragraph mainly about? 

A. The way to create the ideal of future

B. The different types of personal goals

C. The process of setting personal goals 

D. The different levels for lifetime goals

4. What is the best title for the passage? 

A. Self-confidence Tips                  

B. Personal Goal Setting

C. How to Achieve Success              

D. Different Levels of Goals
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