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第二節(jié)　 聽(tīng)取信息(共5小題；每小題1分，滿分5分)

聽(tīng)下面一段對(duì)話，請(qǐng)根據(jù)題目要求，從所聽(tīng)到的內(nèi)容中獲取必要的信息，填入答題卡標(biāo)號(hào)為16-20的空格中。聽(tīng)錄音前，你將有10秒鐘的閱題時(shí)間，錄音讀兩遍。你將有60秒鐘的作答時(shí)間。

Fact Sheet

第一節(jié)　 聽(tīng)力理解(5段共15小題；每小題2分，滿分30分)

每段播放兩遍。各段后有幾個(gè)小題，各段播放前每小題有5秒鐘的閱題時(shí)間。請(qǐng)根據(jù)各段播放內(nèi)容及其相關(guān)小題，在5秒鐘內(nèi)從題中所給的A、B、C項(xiàng)中，選出最佳選項(xiàng)，并在答題卡上將該項(xiàng)涂黑。

聽(tīng)第1段對(duì)話，回答第1-3題。

1．What does the woman say about the house?

A．It is located in the city centre.

B．The transportation is convenient.

C．Parking around it is a problem for her.

2．What does the man think of the bathroom?

A．It is made full use of.

B．It looks very popular.

C．It is in good condition.

3．Why does the man come to the woman’s house?

A．Because he will rent it.

B．Because he plans to buy it.

C．Because he wants to help her rent it out.

聽(tīng)第2段對(duì)話，回答第4-6題。

4．What do we know about the man?

A．He has a full-time job.

B．He lives in his parents’ house.

C．He and his wife earn less than $5,000 a year.

5．What advice does the woman give the man?

A．He should include his parents’ income.

B．He should go to her office and fill out forms.

C．He should give her his information in more detail.

6．What day is it today?

A．Thursday.　　　　　 B．Friday.　　　　　　 C．Saturday.

聽(tīng)第3段對(duì)話，回答第7-9題。

7．How many objects will the woman choose for an academic year?

A．Four.　　　　　　　 B．Eight.　　　　　　 C．Twelve.

8．What does the woman think of completing the registration form?

A．It will be a time-consuming work.

B．It is unnecessary to complete it by hand.

C．There seems to be something wrong with it.

9．What does the man advise the woman to do with the registration form?

A．Go back home to finish it.

B．Fill it out online in the computer lab.

C．Go to the teaching building and ask for more information.

聽(tīng)第4段對(duì)話，回答第10-12題。

10．Where does the conversation probably take place?

A．In a garage.　　　　　 B．In a shop.　　　　　　 C．In a restaurant.

11．What advice does the man give the woman about fixing her car?

A．She should get familiar with her car.

B．She should avoid being overcharged.

C．She should look for a person she can trust.

12．What does the woman say about the mechanic?

A．He has fixed her car before.

B．He is one of her neighbours.

C．He will drive her home today.

聽(tīng)第5段對(duì)話，回答第13-15題。

13．What is the probable relationship between the speakers?

A．Engaged couple.　　　　　 B．Mother and son.　　　　 C．Wife and husband.

14．Why do people want to protect their money and property according to the man?

A．Because marriages don’t last long nowadays.

B．Because they don’t believe each other at all.

C．Because they don’t plan on being together forever.

15．What can we learn from the conversation?

A．The man wants to protect his money.

B．The woman is thinking about a divorce.

C．The man wants to have many children.

20．(本小題共14分)已知函數(shù)().

　　 (1)若函數(shù)的圖象在點(diǎn)處的切線的傾斜角為，求；

(2)若存在，使，求的取值范圍.

19. (本小題滿分14分)已知函數(shù)的圖象上。

(1)求數(shù)列的通項(xiàng)公式；

(2)令求數(shù)列

　　 (3)令證明：。

18．(本小題滿分14分)在直角坐標(biāo)系中，以為圓心的圓與直線相切．

(Ⅰ)求圓的方程；

(Ⅱ)如果圓上存在兩點(diǎn)關(guān)于直線對(duì)稱,求的值.

(Ⅲ)已知、，圓內(nèi)的動(dòng)點(diǎn)滿足，求的取值范圍．