(2)求證:對任意的α∈(0.).為定值. 查看更多

 

題目列表(包括答案和解析)

閱讀下面的短文,然后按要求寫一篇150詞左右的英語短文。

What my mother does drives me crazy. She calls me at 10:30 pm every night to make sure I’ve arrived home safely. If I accidentally miss her call, she will keep calling all my friends and roommates until she "tracks me down".

As a 20-year-old lady in Beijing, sometimes I have to ask my friends to be quiet so that I can pick up my mother's phone call, telling her a white lie that I'm already at home.

    Recently I ran into a matchmaking meeting, which is held in a park and specifically designed for single white – collar workers in Beijing. The interesting part is that all of the attendees are single people’s parents, eager to look for a life partner for their children.

One mother told me that her 33-year-old son is busy with his career and has zero time to find a suitable girl for himself. So she goes to the matchmaking every week, trying to find her son a perfect bride.

She guaranteed that her future daughter-in-law doesn't need to worry about anything for she has prepared an apartment and a car for them, and if they can’t find a kindergarten near the apartment she has bought, she will buy them another one. Looking at hundreds of middle – aged parents standing in the cold outdoors in a freezing winter trying to build their children a perfect future, I suddenly understand my mother more.

 

【寫作內(nèi)容】

    1.以約30個詞概括這段短文的內(nèi)容;

    2.然后以約120個詞就“父母的過分關(guān)愛”進行議論,內(nèi)容包括;

(1)請舉一個你或你周圍的周學得到父母的過分關(guān)愛的事例;

(2)談?wù)勀銓Υ耸碌目捶ā?/p>

【寫作要求】

    1.在作文中可以使用親身經(jīng)歷或虛構(gòu)的故事,也可以參照閱讀材料的內(nèi)容,但不得直接引用原文中的句子。

    2.作文中不能出現(xiàn)真實姓名和學校名稱。

【評分標準】

    概括準確,語言規(guī)范,內(nèi)容合適,語篇連貫。

 

查看答案和解析>>

閱讀下面的短文,然后按要求寫一篇150詞左右的英語短文。
What my mother does drives me crazy. She calls me at 10:30 pm every night to make sure I’ve arrived home safely. If I accidentally miss her call, she will keep calling all my friends and roommates until she "tracks me down".
As a 20-year-old lady in Beijing, sometimes I have to ask my friends to be quiet so that I can pick up my mother’s phone call, telling her a white lie that I’m already at home.
Recently I ran into a matchmaking meeting, which is held in a park and specifically designed for single white – collar workers in Beijing. The interesting part is that all of the attendees are single people’s parents, eager to look for a life partner for their children.
One mother told me that her 33-year-old son is busy with his career and has zero time to find a suitable girl for himself. So she goes to the matchmaking every week, trying to find her son a perfect bride.
She guaranteed that her future daughter-in-law doesn’t need to worry about anything for she has prepared an apartment and a car for them, and if they can’t find a kindergarten near the apartment she has bought, she will buy them another one. Looking at hundreds of middle – aged parents standing in the cold outdoors in a freezing winter trying to build their children a perfect future, I suddenly understand my mother more.
【寫作內(nèi)容】
1.以約30個詞概括這段短文的內(nèi)容;
2.然后以約120個詞就“父母的過分關(guān)愛”進行議論,內(nèi)容包括;
(1)請舉一個你或你周圍的周學得到父母的過分關(guān)愛的事例;
(2)談?wù)勀銓Υ耸碌目捶ā?br />【寫作要求】
1.在作文中可以使用親身經(jīng)歷或虛構(gòu)的故事,也可以參照閱讀材料的內(nèi)容,但不得直接引用原文中的句子。
2.作文中不能出現(xiàn)真實姓名和學校名稱。
【評分標準】
概括準確,語言規(guī)范,內(nèi)容合適,語篇連貫。

查看答案和解析>>

 

讀寫任務(wù)

閱讀下面的短文,然后按照要求寫一篇150詞左右的英語短文。

Dear Patti

I’m writing to you for some advice on my studies. As you know, football is a very popular sport in the world and I am attracted to it and I have fallen in love with it, which makes me feel so crazy. I have spending lots of time doing many things related to it, like watching football matches, reading newspapers and magazines, and searching the Web for more information about football. As a result, it has certainly disturbed my normal study. Though I know to be a football fan is my hobby and my major adjective is to learn more knowledge in school, I can’t concentrate on my lessons and gradually I am tired of them. I am still a senior middle school student, and I’ll have my own business even when I grow up, so I am not likely to do a job in the field of football. But now I can’t stop myself from getting involved further with football. So I feel very depressed and want to know how to deal with the contradiction .

Sincerely yours,

Li Hua

【寫作內(nèi)容】

假設(shè)你是李華的筆友Patti,請根據(jù)他信中所訴說的苦惱回信。以下是回信的內(nèi)容(信的開頭和結(jié)尾已經(jīng)為你寫好)

以約30個詞概括李華的苦惱;

以約120個詞發(fā)表你的看法,并包括如下要點:

(1)你認為李華應(yīng)該如何處理好他的學習和業(yè)余愛好的關(guān)系,并說明你的理由。

(2)表達你對他的希望。

【寫作要求】

1.可以使用實例或其他論述的方法支持你的論點,也可以參照閱讀材料的內(nèi)容,但不得直接引用原文中的句子;

2.信中不能出現(xiàn)真實姓名和學校名稱。

Dear Li Hua,

Thank you for your letter. From your letter, I’ve known something about your situation.                                                                              

                                                                                                                                             

Yours

Patti

 

 

查看答案和解析>>

閱讀下面的短文,然后按照要求寫一篇150詞左右的英語短文。

Dear Patti,

I’m writing to you for some advice on my studies. As you know, football is a very popular sport in the world and I am attracted to it and I have fallen in love with it, which makes me feel so crazy. I have spending lots of time doing many things related to it, like watching football matches, reading newspapers and magazines, and searching the Web for more information about football. As a result, it has certainly disturbed my normal study. Though I know to be a football fan is my hobby and my major adjective is to learn more knowledge in school, I can’t concentrate on my lessons and gradually I am tired of them. I am still a senior two middle school student, and I’ll have my own business even when I grow up, so I am not likely to do a job in the field of football. But now I can’t stop myself from getting involved further with football. So I feel very depressed and want to know how to deal with the contradiction (矛盾. between my studies and boobies.)

Sincerely yours,

Li Ming

【寫作內(nèi)容】

假設(shè)你是李明的筆友Patti,請根據(jù)他信中所訴說的苦惱回信。以下是回信的內(nèi)容(信的開頭和結(jié)尾已經(jīng)為你寫好)

以約30個詞概括李明的苦惱;

以約120個詞發(fā)表你的看法,并包括如下要點:

(1)你認為李明應(yīng)該如何處理好他的學習和業(yè)余愛好的關(guān)系,并說明你的理由。

(2)表達你對他的希望。

【寫作要求】

1.可以使用實例或其他論述的方法支持你的論點,也可以參照閱讀材料的內(nèi)容,但不得直接引用原文中的句子;

2.信中不能出現(xiàn)真實姓名和學校名稱。

Dear Li Ming,

Thank you for your letter. From your letter, I’ve known something about your situation.                                                                                

                                                                                                                                                                    

                                                                                                                                                                

                                                                                                                                                                                     

                                                                                                                                                                

                                                                                

                                                                             

                                                                               

                                                                            

                                                                                                                                            

                                                                                                                                                                                

                                                                                                                                                                

                                                                                 

                                                                             

                                                                               

                                                                            

                                                                   

                                                                            

                                                                              

Yours

Patti

查看答案和解析>>

第二節(jié):讀寫任務(wù)(共1小題,滿分25分)

閱讀下面的短文,然后按照要求寫一篇150詞左右的英語短文。

For many years, scientists have warned that smoking tobacco is bad for health. Yet people around the world continue to smoke. The World Health Organization estimates that more than four million people die each year from the effects of smoking. That number is increasing.

Scientists have identified more than forty chemicals in tobacco smoke that cause cancer in humans and animals. Nicotine (尼古丁) is the major poison in cigarettes that gives pleasure to smokers. The American Cancer Society says nicotine can kill a person when taken in large amounts. It does this by stopping the muscles used for breathing. Also, studies have found that nicotine can be as harmful as alcohol or the illegal drugs. So experts say it is better never to start smoking and become dependent on nicotine than it is to smoke with the idea of stopping later.

Smoking tobacco is the leading cause of lung disease. Smoking also has been linked to heart disease, stroke and many kinds of cancer. American government health experts say smoking affects not only the smoker. Tobacco smoke also affects the health of people who do not smoke. Smokers may harm the health of family members and people at work. Tobacco smoke causes an estimated 3,000 non-smoking Americans to die of lung cancer each year.

Therefore, it can be seen that smoking begins to cause damage immediately. All cigarettes can damage the body. And there is no safe way to smoke.

[寫作內(nèi)容]

假設(shè)你是Adam,你叔叔是一個煙癮很大的人。在看了有關(guān)吸煙危害的文章后,想給叔叔寫一封信勸其戒煙。以下是信的內(nèi)容(信的開頭和結(jié)尾已經(jīng)為你寫好):

1.以約30個詞概括香煙對身體健康的傷害;

2.以約120個詞表達你對叔叔的勸告,并包括如下要點:

(1) 對叔叔提出戒煙的具體建議;

(2) 指出叔叔戒煙對家人的益處;

(3) 期望叔叔能夠成功地戒煙。

[寫作要求]

1.作文可以參照閱讀材料的內(nèi)容但不得直接引用原文中的句子;

2.信中不能出現(xiàn)真實姓名和學校名稱。

[評分標準]           概括準確,語言規(guī)范,內(nèi)容合適,篇章連貫。

 

查看答案和解析>>

1.C   2.A   3.B   4.D   5.C   6.B   7.D   8.C   9.B  10.A

  11.120°   12.3x+y-1=0   13.   14.10    15.100    16.(1),(4)

17.解:(1)設(shè)拋物線,將(2,2)代入,得p=1. …………4分

∴y2=2x為所求的拋物線的方程.………………………………………………………5分

(2)聯(lián)立 消去y,得到. ………………………………7分

設(shè)AB的中點為,則

∴ 點到準線l的距離.…………………………………9分

,…………………………11分

,故以AB為直徑的圓與準線l相切.…………………… 12分

(注:本題第(2)也可用拋物線的定義法證明)

18.解:(1)在△ACF中,,即.………………………………5分

.又,∴.…………………… 7分

(2)

. ……………………………14分

(注:用坐標法證明,同樣給分)

19.

解法一:(1)連OM,作OH⊥SM于H.

∵SM為斜高,∴M為BC的中點,∴BC⊥OM.

∵BC⊥SM,∴BC⊥平面SMO.

又OH⊥SM,∴OH⊥平面SBC.……… 2分

由題意,得

設(shè)SM=x,

,解之,即.………………… 5分

(2)設(shè)面EBC∩SD=F,取AD中點N,連SN,設(shè)SN∩EF=Q.

∵AD∥BC,∴AD∥面BEFC.而面SAD∩面BEFC=EF,∴AD∥EF.

又AD⊥SN,AD⊥NM,AD⊥面SMN.

從而EF⊥面SMN,∴EF⊥QS,且EF⊥QM.

∴∠SQM為所求二面角的平面角,記為α.……… 7分

由平幾知識,得

,∴

,即所求二面角為. ……………… 10分

(3)存在一點P,使得OP⊥平面EBC.取SD的中點F,連FC,可得梯形EFCB,

取AD的中點G,連SG,GM,得等腰三角形SGM,O為GM的中點,

設(shè)SG∩EF=H,則H是EF的中點.

連HM,則HM為平面EFCB與平面SGM的交線.

又∵BC⊥SO,BC⊥GM,∴平面EFCB⊥平面SGM. …………… 12分

在平面SGM中,過O作OQ⊥HM,由兩平面垂直的性質(zhì),可知OQ⊥平面EFCB.

而OQ平面SOM,在平面SOM中,延長OQ必與SM相交于一點,

故存在一點P,使得OP⊥平面EBC. ……………………… 14分

           

          ∵底面邊長為1,∴

          ,

          .    ……………… 1分

          設(shè),

          平面SBC的一個法向量,

          ,

          ∴y=2h,n=(0,2h,1).… 3分

          =(0,1,0),由題意,得.解得

          ∴斜高. …………………………………………………… 5分

          (2)n=(0,2h,1)=,

          由對稱性,面SAD的一個法向量為n1. ………………………………6分

          設(shè)平面EBC的一個法向量n2=(x,y,1),由

          ,得

           解得.………………… 8分

          設(shè)所求的銳二面角為α,則

          ,∴.…………… 10分

          (3)存在滿足題意的點.證明如下:

          . ………………………… 11分

          ,令與n2共線,則. ……………… 13分

          .故存在P∈SM,使OP⊥面EBC.……………………… 14分

          20. 解:(1)當n為奇數(shù)時,an≥a,于是,. ………………3分

                   當n為偶數(shù)時,a-1≥1,且an≥a2,于是

          =. …………6分

          (2)∵,,,∴公比.……9分

          . …………………………………………10分

          (注:如用求和公式,漏掉q=1的討論,扣1分)

           . ……………12分

          .……15分21.解:(1)∵,,∴,∴. 1分

          ,即,∴. …3分

          ①當,即時,上式不成立.………………………………………………4分

          ②當,即時,.由條件,得到

          ,解得. ……………………………………………5分

          ,解得.…………………………………………6分

           m的取值范圍是. ………………………………………7分

          (2)有一個實根.………………………………………………………………………………9分

          ,即

          ,則

          ,,. ………………………10分

           △>0,故有相異兩實根

          ,∴ 顯然,

          ,∴,∴. …………12分

          于是

                              

          為三次函數(shù)的極小值點,故與x軸只有一個交點.

          ∴  方程只有一個實根.…………………………15分


          同步練習冊答案