(Ⅱ)求数列的通项公式, 查看更多

 

题目列表(包括答案和解析)

阅读下面的文言文,完成下列各题。

孙权,字仲谋。兄策既定诸郡,时权年十五,以为阳羡长。郡察孝廉,州举茂才。(建安)五年,策薨,以事授权,权哭未及息,策长史张昭谓权曰:“孝廉,此宁哭时邪? 且周公立法而伯禽不师①,非欲违父,时不得行也。况今奸宄(奸臣)竞逐,豺狼满道。乃欲哀亲戚,顾礼制,是犹开门而揖盗,未可以为仁也。”乃改易权服,扶令上马,使出巡军。是时,惟有会稽、吴郡、丹杨、豫章、庐陵,然深险之地犹未尽从,而天下英豪布在州郡,宾旅寄寓之士以安危去就为意,未有君臣之固。张昭、周瑜等谓权可与共成大业,故委心而服事焉。曹公表权为讨虏将军,领会稽太守,屯吴,使丞之郡行文书事。待张昭以师傅之礼,而周瑜、程普、吕范等为将率。招延俊秀,聘求名士,鲁肃、诸葛瑾等始为宾客。分部诸将,镇抚山越,讨不从命。

(建安十三年)荆州牧刘表死,鲁肃乞奉命吊表二子,且以观变。肃未到,而曹公已临其境,表子琮举众以降。刘备欲南济江,肃与相见,因传权旨,为陈成败。备进住夏口,使诸葛亮诣权,权遣周瑜、程普等行。是时曹公新得表众,形势甚盛。诸议者皆望风畏惧,多劝权迎之。惟瑜、肃执拒之议,意与权同。瑜、普为左右督,各领万人,与备俱进,遇于赤壁,大破曹公军。公烧其余船引退,士卒饥疫,死者大半。备、瑜等复追至南郡。

十六年,权徙治秣陵。明年,城石头,改秣陵为建业。闻曹公将来侵,作濡须坞②。十八年正月,曹公攻濡须,权与相拒月余。曹公望权军,叹其齐肃,乃退。(《三国志??吴主传》)

注:①周公立法而伯禽不师:周公制定的礼法制度,他的儿子、受封于鲁国的伯禽却没有遵守。按照古人的解释,伯禽在服丧期间,徐戎(周代居住在今徐州一代的少数民族)作乱,伯禽就停止服丧而率兵讨伐,平定了徐戎。      ②濡须坞:修建在濡须口的堡坞,夹濡须水而筑。

对下列句子中加点的词语的解释,不正确的一项是   (    )

A.权哭未及息                  息:停止

B.领会稽太守                  领:兼任

C.公烧其余船引退              引:拉

D.此宁哭时邪                  宁:难道

下列各组句子中,全都直接表现孙权励精图治的一组是(    )

①策薨,以事授权   ②招延俊秀,聘求名士        ③乃改易权服,扶令上马

④公烧其余船引退   ⑤闻曹公将来侵,作濡须坞    ⑥权与相拒月余

A.①②④       B.①③⑥       C.③④⑤       D.②⑤⑥

下列对原文的叙述与分析不正确的一项是(    )       

A.孙权继位之后,任用贤才,优礼士人,用对待师傅之礼事奉张昭、周瑜、鲁肃、诸葛瑾等人,一时间,孙权手下人才济济。

B.荆州牧刘表死后,其子刘琮投降曹操。此时的东吴内部分为主战、主和两派,孙权不顾主降派张昭等反对,联合刘备与曹操决战,取得赤壁之战的胜利。

C.孙权到秣陵(建业)后,曹操来犯,孙权与曹操大战于濡须坞,双方均不能获胜。看到孙权阵容齐整,曹操只好撤兵。

D.孙权作为一代英主,面对曹操的入侵,敢于抗击;经过赤壁之战,大败曹操,后又在濡须之战中取得胜利。

把文中画横线的句子翻译成现代汉语。

①郡察孝廉,州举茂才。

                                                                                         

②乃欲哀亲戚,顾礼制,是犹开门而揖盗,未可以为仁也。

                                                                                          

③是时曹公新得表众,形势甚盛。诸议者皆望风畏惧,多劝权迎之。

查看答案和解析>>

根据短文内容,从短文后的选项中选出能填入空白处的最佳选项。选项中的两项为多途选项。

Empathy

Last year, researchers from the University of Michigan reported that empathy, the ability to understand other people, among college students had dropped sharply over the past 10 years. __1__ Today, people spend more time alone and are less likely to join groups and clubs.

Jennifer Freed, a co-director of a teen program, has another explanation. Turn on the TV, and you’re showered with news and reality shows full of people fighting, competing, and generally treating one another with no respect. __2__

There are good reasons not to follow those bad examples. Humans are socially related by nature. __3__ Researchers have also found that empathetic teenagers are more likely to have high self-respect. Besides, empathy can be a cure for loneliness, sadness, anxiety, and fear.

Empathy is also an indication of a good leader. In fact, Freed says, many top companies report that empathy is one of the most important things they look for in new managers. __4__ “Academics are important. But if you don’t have emotional intelligence, you won’t be as successful in work or in your love life,” she says.

What’s the best way to up your EQ (情商)? For starters, let down your guard and really listen to others. __5__

To really develop empathy, you’d better volunteer at a nursing home or a hospital, join a club or a team that has a diverse membership, have a “sharing circle” with your family, or spend time caring for pets at an animal shelter.

A.Everyone is different, and levels of empathy differ from person to person.

B.Having relationships with other people is an important part of being human—and having empathy is decisive to those relationships.

C.Humans learn by example—and most of the examples on it are anything but empathetic.

D.“One doesn’t develop empathy by having a lot of opinions and doing a lot of talking,” Freed says.

E. Empathy is a matter of learning how to understand someone else—both what they think and how they feel.

F. Good social skills—including empathy—are a kind of “emotional intelligence” that will help you succeed in many areas of life.

G. That could be because so many people have replaced face time with screen time, the researchers said.

 

查看答案和解析>>

根据短文内容,从短文后的选项中选出能填入空白处的最佳选项。选项中的两项为多余选项。

注意:如果选E 请涂 AB ; 选 F请涂 AC; 选G请涂AD .

When people get a bad toothache, they often have to eat soft, easily chewed food.  ___1.__ That’s the conclusion of a zoologist at the Field Museum of Natural History in Chicago and a dentist who works on carnivores (食肉动物).

___2.__ Every once in a while, however, a lion will go on a human-eating diet.  The most famous such tragedy happened in 1898, when two lions killed and ate 135 railway workers in Kenya. 

Examining the preserved skulls of the two big lions, zoologist Bruce Patterson and dentist Ellis Neiburger found that both animals had been suffering from several dental and jaw problems. ___3.___ Canines are pointed teeth that hunting animals use for gripping and piercing prey . 

The two lions might have been so badly disabled that they couldn’t bite down forcefully, say the researchers. Consequently, the lions might have abandoned their normal, more difficult prey and turned to humans.  Patterson said “____4._____ We’re very slow, we don’t hear very well, and we don’t see very well in the darkness.”

______5.____ It was inspired partly by the work of Jim Corbett, a tiger hunter in India in the 1930s.  Corbett was regularly called in to hunt tigers that had been dining on Indian villagers. Time after time, Patterson discovered that the killer tigers were suffering from some ill-healthy conditions.

 

注意:如果选E 请涂 AB ; 选 F请涂 AC; 选G请涂AD .

A. Humans are easy preys.

B. Lions don’t normally prey on people.

C. When lions get a bad toothache, they eat people

D. One lion had three missing teeth and a loose, unsteady lower canine that was probably useless.

E. The research calls their idea the Infirmity Theory.

F. He had absolutely no experience taking medicine.

G. Talking about it in the abstract isn’t enough.

 

查看答案和解析>>

书面表达(满分25分)

 

最近的一项研究表明,北京大约有50%青少年有不吃早餐的习惯。请根据表格内容用英语写一篇题为 “Top Meal of the Day”的短文刊登在 21st Century 报上。

 

原  因

 晚上学习太晚,不吃早餐可多睡一会儿。家长太忙,无暇顾及,给钱让孩子自己解决。一些女孩为保持苗条身材常不吃早餐。

结    果

上课时总是睡觉,注意力下降,考试成绩不理想。

建    议

早餐不可少,它能提供全天所需能量的30%,且有助于创造性思维。青少年健康应从早餐开始。

 

注意:①. 短文须包括所有要点,可以适当增加情节,使内容连惯。

②.   词数100 – 120.

③.   参考词汇: slim 苗条的  creative 创造性的

 

 

 

查看答案和解析>>

2012伦敦残奥会the 2012 London Paralympic Games已进入筹备工作,伦敦奥组委现向世界各地招募志愿者,招募具体情况见海报。

VOLUNTEER POST

We are looking for applications for the following posts:

*translator or interpreter

*social volunteer

*stadium volunteer

*transportation volunteer

the 2012 Olympic Committee

假如你是李华,17岁,现是银川一中高三年级的一名学生,请根据上面海报中自己感兴趣的一个志愿者工作给伦敦残奥委写回信,应征其中的一项志愿者工作。回信要求包括如下内容:

1、个人信息:名字(Li Hua),年龄,身份;

2、你的性格特点;

3、你的兴趣、爱好、特长;

4、你的相关经历。

注意:信的开头、结尾已经给出(不计入词数)

Dearthe 2012 London Paralympic Committee,

I am writing to apply for a position at your Volunteer Post. _______________________________________________________________________________

___________________________________________________________________________

_________________________________________________________________________

_______________________________________________________________________________

__

I am looking forward to your early reply.

Yours,

Li Hua 

 

查看答案和解析>>

1.解析:,故选A。

2.解析:抽取回族学生人数是,故选B。

3.解析:由,得,此时,所以,,故选C。

4.解析:∵,∴,∴,故选C。

5.解析:设公差为,由题意得,,解得,故选C。

6.解析:∵双曲线的右焦点到一条渐近线的距离等于焦距的,∴,又∵,∴,∴双曲线的渐近线方程是,故选D.

7.解析:∵为正实数,∴,∴;由均值不等式得恒成立,,故②不恒成立,又因为函数是增函数,∴,故恒成立的不等式是①③④。故选C.

8.解析:∵,∴在区间上恒成立,即在区间上恒成立,∴,故选D。

9.解析:∵

,∴此函数的最小正周期是,故选C。

10.解析:如图,∵正三角形的边长为,∴,∴,又∵,∴,故选D。

11.解析:∵在区间上是增函数且,∴其反函数在区间上是增函数,∴,故选A

12.解析:如图,①当时,圆面被分成2块,涂色方法有20种;②当时,圆面被分成3块,涂色方法有60种;

③当时,圆面被分成4块,涂色方法有120种,所以m的取值范围是,故选A。

13.解析:将代入结果为,∴时,表示直线右侧区域,反之,若表示直线右侧区域,则,∴是充分不必要条件。

学科网(Zxxk.Com)14.解析:∵,∴时,,又时,满足上式,因此,

学科网(Zxxk.Com)15.解析:设正四面体的棱长为,连,取的中点,连,∵的中点,∴,∴或其补角为所成角,∵,∴,∴,又∵,∴,∴所成角的余弦值为

学科网(Zxxk.Com)16.解析:∵,∴,∵点的准线与轴的交点,由向量的加法法则及抛物线的对称性可知,点为抛物线上关于轴对称的两点且做出图形如右图,其中为点到准线的距离,四边形为菱形,∴,∴,∴,∴,∴,∴向量的夹角为

17.(10分)解析:(Ⅰ)由正弦定理得,,…2分

,………4分

(Ⅱ)∵,∴,∴,………………………6分

又∵,∴,∴,………………………8分

。………………………10分

18.解析:(Ⅰ)∵,∴;……………………理3文4分

(Ⅱ)∵三科会考不合格的概率均为,∴学生甲不能拿到高中毕业证的概率;……………………理6文8分

(Ⅲ)∵每科得A,B的概率分别为,∴学生甲被评为三好学生的概率为。……………………12分

19.(12分)解析:(Ⅰ)∵,∴

 ,,……………3分

(Ⅱ)∵,∴

,∴数列自第2项起是公比为的等比数列,………………………6分

,………………………8分

(Ⅲ)∵,∴,………………10分

。………………………12分

20.解析:(Ⅰ)∵,∴,∵底面,∴,∴平面,∴,又∵平面,∴,∴平面,∴。………………………4分

(Ⅱ)∵平面,∴,∴为二面角的平面角,………………………6分

,∴,又∵平面,∴,∴二面角的正切值的大小为。………………………8分

(Ⅲ)过点,交于点,∵平面,∴在平面内的射影,∴与平面所成的角,………………………10分

学科网(Zxxk.Com),∴,又∵,∴与平面所成的角相等,∴与平面所成角的正切值为。………………………12分

解法2:如图建立空间直角坐标系,(Ⅰ)∵,,∴点的坐标分别是,∴,设,∵平面,∴,∴,取,∴,∴。………………………4分

(Ⅱ)设二面角的大小为,∵平面的法向量是,平面的法向量是,∴,∴,∴二面角的正切值的大小为。………………………8分

(Ⅲ)设与平面所成角的大小为,∵平面的法向量是,∴,∴,∴与平面所成角的正切值为。………………………12分

21.解析:(Ⅰ)设抛物线方程为,将代入方程得

所以抛物线方程为。………………………2分

由题意知椭圆的焦点为

设椭圆的方程为

∵过点,∴,解得,

∴椭圆的方程为。………………………5分

(Ⅱ)设的中点为的方程为:

为直径的圆交两点,中点为

,则

  

………………………8分

………………………10分

时,

此时,直线的方程为。………………………12分

22.(12分)解析:(Ⅰ)∵是偶函数,∴

又∵,………………………2分

得,

时,时,时,;∴时,函数


同步练习册答案