6.若双曲线的右焦点到一条渐近线的距离等于焦距的.则此双曲线的离心率是 查看更多

 

题目列表(包括答案和解析)

 

    此题要求改正所给短文中的错误。对标有题号的每一行作出判断,如无错误,则在该行右边横线上画一个勾(√);如有错误(每行只有一个错误),则按下列情况改正:

此行多一个词:把多余的词用斜线(╲)划掉,在该行右边的横线上写出该词,并也用斜线划掉。

此行缺一个词;在缺词处加一个漏字符号(∧),在该行右边的横线上写出该加的词。

此行错一个词:在错的词下画一条横线,在该行右边的横线上写出改正后的词。

注意:原行没有错的不要改。

   

I have a good friend who's name is Li Ying. She is our          1.

monitor and one of the excellent student in our class.                2.

Clever as she is, but she works very hard. We have a              3.

lot on common and have a lot to talk about. One evening           4.

she told me that something happened when her parents was               5.

out. She was doing her homework one Sunday morning            6.

when she smell something burnt. She stopped to look out          7.

of the window and find a cloud of smoke coming out              8.

of her neighbor's house. She called 119 immediate. Ten             9.

minutes later, firemen came and put out fire. Her neighbor            10.

was very thankful for her help.

 

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我能写出漂亮句子(每题2分,共10 分)

注意:要按要求完成句子,否则不得分;有任一单词写错也不得分

1 不是你所做的而是你做事的方式使得我生气。(用上强调句型,名词性从句, not … but …, 以及定语从句)

  _________________________________________________________ made me angry.

2 一个工厂在原来是一片荒地的地方被建立起来。(用上名词性从句)

  A factory was set up in _____________________________.

3 有很多困难的问题有待解决,这位新任的经理要度过一段艰难的时期。 (用上with的复合结构)

  _______________________________, the new manager is having a hard time.

4 我宁愿你明天呆在家里。(用上would rather)

  I _____________________________________ at home tomorrow.

5  这个丢失的孩子最后一次被看见是在河边玩。(用上see的复合结构)

The lost boy was _________________  near the river bank.

 

 

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 2009年l 1月初,你所在的城市下了一场罕见的大雪。此次大雪比去年提前了近一个月,雪灾给人们的生产和生活带来了巨大的影响。请根据下面的提示,叙述这件事,并谈谈你的感受。

.1.早晨外面大雪飞扬,很多树木被积雪压断,房屋受损;很多车辆被困在路上;人们被迫步行前往目的地;部分航班被取消;列车被迫延迟。

.2.市政府号召全市人民参与除雪活动,并采取措施,解救被困群众,确保市民生活尽快恢复正常。

.3最后写出你的感受。

注意:.1.词数:l00个左右;

.2.文章的开头已给出,不计人总词数.

.3.参考词汇:目的地destination

In early November, 2009, our city witnessed a terrible disaster of snowstorm.The heavy snow happened a month earlier than last year, greatly affecting the life of people.

 

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LONDON —A British judge on Thursday sentenced a businessman who sold fake (假冒的)bomb detectors (探测器) to 10 years in prison, saying the man hadn’t cared about potentially deadly consequences.

It is believed that James McCormick got about $77. 8 million from the sales of his detectors — which were based on a kind of golf ball finder — to countries including Iraq, Belgium and Saudi Arabia.

McCormick, 57,was convicted (判罪) of cheats last month and sentenced Thursday at the Old Bailey court in London.

“Your cheating conduct in selling a great amount of useless equipment simply for huge profit promoted a false sense of security and in all probability materially contributed to causing death and injury to innocent people,’’ Judge Richard Hone told McCormick. “You have neither regret, nor shame, nor any sense of guilt.”

The detectors, sold for up to $ 42,000 each, were said to be able to find such dangerous objects as bombs under water and from the air. But in fact they “lacked any grounding in science” and were of no use.

McCormick had told the court that he sold his detectors to the police in Kenya,the prison service in Hong Kong, the army in Egypt and the border control in Thailand.

“I never had any bad results from customers,” he said.

39. Why was McCormick sentenced to prison?

A. He sold bombs.                              B. He caused death of people.

C. He made detectors.                              D. He cheated in business.

40. According to the judge, what McCormick had done ________ .

A. increased the cost of safeguarding

B. lowered people’s guard against danger

C. changed people’s idea of social security

D. caused innocent people to commit crimes

41. Which of the following is true of the detectors?

A. They have not been sold to Africa.

B. They have caused many serious problems.

C. They can find dangerous objects in water.

D. They don't function on the basis of science.

42. It can be inferred from the passage that McCormick _________ .

A. sold the equipment at a low price

B. was well-known in most countries

C. did not think he had committed the crime

D. had not got such huge profit as mentioned in the text

【语篇解读】本文是一篇记叙文,题材是新闻报道。本文报道了一条卖假冒炸弹探测器的商人被判10年徒刑的新闻。

段落

关键词、句

大意推测

第一部分(Para. 1-3)

McCormick, 57,was convicted of cheats last month and sentenced Thursday at the Old Bailey court in London

新闻案件的简介:57岁的McCormick上月被起诉诈骗并于周三在伦敦的Old Bailey court法庭被判刑。

第二部分(Para. 4)

cheating conduct, promoted a false sense of security, contributed to causing death and injury to innocent people

法官宣判:罪犯的欺骗行为增强了人们虚假的安全感并促使导致给无辜百姓带来死亡和伤害。

第三部分(Para. 5-7)

But in fact they “lacked any grounding in science” and were of no use, sold…to… , never had any bad results

案件细节及当事人的反诉:假冒炸弹探测器被销往世界各地,但它根本没有科学依据,也毫无用处。罪犯狡辩假冒产品没有给用户带来任何不良后果。

【解析】

39. D。细节理解题。难度:中等。问题是“为什么McCormick被判刑入狱”。根据问题中的关键词sentenced to prison定位原文第一段。第一段说到McCormick是一位商人,生产了假冒的炸弹探测器,这是一种商业欺骗。选项D和其对应,为正确答案。

40. B。细节理解题。难度:难。问题是“根据法官的说法,McCormick的所为导致了什么样的结果”。根据问题中的关键词according to the judge定位第四段的第一句:your cheating conduct … promoted a false sense of security and … contributed to causing death and injury to innocent people(你的欺骗行为提高了人们虚假的安全感并助推给无辜百姓带来死亡和伤害)。由此可见,McCormick的行为让人们有了安全感,但这种安全并不真实。B “降低了人们防范危险的安全意识”符合此意,为正确答案。

41. D。判断题。难度:难。问题是“下面哪种说法对探测仪来说是正确的”。

解题思路:根据问题中的关键词detectors,把四个选项具体对应到原文中一处。A对应文章倒数第二段的最后一句he sold his detectors to the police in Kenya,the prison service in Hong Kong, the army in Egypt and the border control in Thailand。该句中的Kenya是非洲的肯尼亚,否定了A的说法。B对应第一段第一句“the man hadn’t cared about potentially deadly consequences”,法官只说罪犯没有关注潜在的致命后果,而不是已经导致严重的问题。C对应第五段的第一句话“were said to be able to find such dangerous objects as bombs under water and from the air”提示,探测仪的功能只是据说,而不一定真的具备找到水中危险物品的功能。选项D定位第五段的最后一句“in fact they ‘lacked any grounding in science’ and were of no use可知,这种探测仪没有科学根据,也毫无用途,和D“没有科学根据的工作原理”相吻合,故最佳答案是D。

42. D。推理判断题。难度:中等。

解题思路:返回原文,将选项与原文一一进行比较

本题主要考查第四段和第七段。A“以低价销售设备”与原文第四段第一句不符,因为该句提到法官指控McCormick通过卖一些无用的设备来巨额利润。B“在大多数国家很有名”与文中提到的区区几个国家和地区Iraq,Belgium,Saudi Arabia,Kenya,Hong Kong,Egypt和Thailand购买他的探测仪不符。C“认为他没有犯罪”和第七段对应,其中他所说的“I never had any bad results from customers”和C符合,C是正确答案。D“他没有赚取文中提到的那么大利润”在原文没有语言根据。

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第二节:书面表达(满分20)

有一批要到中国投资的外国企业家在我国某城市参观考察。假定你是接待员,要向外宾们介绍这个城市的概括。请你用英语写一篇发言稿,须包括以下内容:

这是一座新兴的现代化城市,建于20世纪80年代;

海陆空交通方便,又有一条与首都北京相连的高速公路;

自然资源丰富,电力及其他能源供应充足;

公共秩序良好,政府多方面支持外国投资者。

注意:1.词数:100左右。

2.可以适当增减细节,但不能逐字翻译。

3.短文开头已给出,不计入总词数。

参考词汇:高速公路:freeway   公共秩序:public order 投资者:investor

Ladies and Gentlemen,

Welcome to our city. Now let me introduce …_____________________________________

_______________________________________________________________________________                             

 

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1.解析:,故选A。

2.解析:∵

故选B。

3.解析:由,得,此时,所以,,故选C。

4.解析:显然,若共线,则共线;若共线,则,即,得,∴共线,∴共线是共线的充要条件,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∵,∴,∴,∴双曲线的离心率是。故选B.

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:∵

,此函数的最小值为,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:做出表示的平面区域如图,当直线经过点时,取得最大值5。

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

(理)∵。……………………9分

的分布列如下表:

0

1

2

3

的数学期望。……………………12分

19.(12分)解析:(Ⅰ)时,

    

得,   ………3分

 

 

+

0

0

+

递增

极大值

递减

极小值

递增

      ………………………6分

(Ⅱ)在定义域上是增函数,

恒成立,即 

   ………………………9分

(当且仅当时,

               

 ………………………4分

学科网(Zxxk.Com)              

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.(Ⅰ) 解析:如图,设右准线轴的交点为,过点


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