24. –China beat Australia 1:0 at the 17th Women’s Football Asian Cup last night.
--Really?
A That’s a pity. B Don’t mention it
C I’m glad to hear that D You’re welcome
25 What would the mascot(吉祥物)of the World Expo 2010 Shanghai probably say in the picture on the right?
A Running can keep you healthy
B Welcome to Shanghai,China
C Animals are our good friend
D Water is very important for all of us
23. Zhou Yang is skating. She won a gold medal at the 2010 Olympic Winter Games.
A good at B weak in C tired of D angry with
18.The famous writer Willian Shakepeare was born 1564.
A. in B. on C at .D of
19 It is a good habit for us that we should never today’s work till tomorrow.
A put on B. put off C put up .D put down
20 --- Have the students in Yushu returned to school yet?
---It is reported on TV that .
A. the weather is becoming better B. most of the factories were destroyed
C people have given lots of money to them .D all the schools have started lessons again
21 -- do you read English newspapers?
--I read 21st Century every day.
A How long B How often C How many .D How much
22 It to drive after drinking wine.
A. is allowed B. is not allowed C is made . D is welcomed
17. .-The land in the southwest of China is in great need of .
-Yes ,it hasn’t rained for a long time there.
A. milk B.tea C coffee .D water
请从A.B.C.D四个选项中选出可以填入空白处的最佳选项
16.- Mike,could you come and give me hand?
- OK,Mum. I’m coming now.
A. a B. an C the .D 不填
第三节:听独白,请从A.B.C三个选项中选择正确的选项,完成信息记录表。
11. A. England B. Australia C. American
12. A .12 B.14 C. .20
13. A. Miss Wang B. Miss Li C. Miss Zhang
14. A. 2nd B.5th C. 12th
15. A. go sightseeing B. go boating C. go fishing
第二节:听长对话,请从A.B.C三个选项中选择正确的选项。
听下面一段较长的对话,回答第6~7两小题。
6. What is the woman going to do?
A. To have dinner. B、To give lessons C、To post a letter
7/. What’s the probable relationship between the two speaker?
A. Strangers B. Husband and wife C. Mother and son
听下面一段较长的对话,回答第8~10三小题。
8. What are the two speakers talking about ?
A. A camera B. An MP4 C. A mobile phone
9.How much does it cost ?
A. ¥400 B. ¥500 C. ¥600
10.Why did Mother buy it for the boy?
A. Because it was his birthday
B. Because he helped his mother do the housework
C. Because he got the first place in the English competition
第一节:听小对话,请从A.B.C三个选项中选择符合对话内容的图片。
1. What does the girl like?
2. What is the weather like today?
3、Which sport does Tom like best?
A. B.
C.
4、How did Mary come to Yiwu?
5、Where does the dialogue probably take place?
20.(本小题满分13分)
已知函数
(Ⅰ)证明:当
(Ⅱ)若对满足题设条件的任意b,c,不等式
恒成立,求M的最小值。
(Ⅱ)是否存在
[解析]易知
令
(1)
故在
(2)
(3)
19.(本小题满
分13分)
为了考察冰川的融化状况,一支科考队在某冰川上相距8km的A,B两点各建一个考察基地.视冰川面为平面形,以过A,B两点的直线为x轴,线段AB的垂直平分线为y轴建立平面直角坐标系(图6).在直线
的右侧,考察范围为到点B
的距离不超过
km的区域;在直线
的左侧,考察范围为到A,B两点的距离之和不超过
km的区域.
(Ⅰ)求考察区域边界曲线的方程;
(Ⅱ)如图6所示,设线段,
是冰川的部分边界线(不考虑其他边界),当冰川融化时,边界线沿与其垂直的方向朝考察区域平行移动,第一年移动0.2km,以后每年移动的距离为前一年的2倍,求冰川边界线移动到考察区域所需的最短时间.
[解析](Ⅰ)设边界曲线上点P的坐标为.当
≥2时,由题意知
当
,因而其方程为
故考察区域边界曲线(如图)的方程为
(Ⅱ)设过点P1,P2的直线为l1,点P2,P3的直线为l2,则直线l1,l2的方程分别为
[命题意图]本题以应用题为背景,考查考察考生数学建模能力,考查圆的方程、椭圆的定义与方程、直线与圆锥曲线的位置关系、等比数列求和。本题属难题。
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