模块综合测评(三)

模块综合测评(三)

Ⅰ.阅读理解(共15小题；每小题2分，满分30分)

阅读下列短文，从每题所给的四个选项(A、B、C和D)中，选出最佳选项。

A

Are you interested in country music? I like it very much! It will take me away for a while after I am tired. The guitars and songs will take me to mountains and fields.

Country music usually talks of everyday life and feelings. It's the spirit of America, easy to understand, slow and simple.

Country music developed in the Southern United States. It was the folk music of American countryside. Many of songs tell about the lives of farmers. They talk about love, crops or death.

The life of the countryside can be hard, so the words in country music are often sad. At first, people played the music only at family parties. But it became more popular later. In the 1920s, people played country songs on the radio, and they made them into records.

When people in the countryside moved to towns and cities to look for work, they took their music with them. Country music continued to change and became popular across America.

John Denver was one of America's most famous country singers in the 1970s.His song Take Me Home, Country Roads is well-known and people still play it today.

1．Country music is usually about ．

A．everyday life and feelings

B．farmers' feelings

C．the lives of workers

D．the lives of farmers

【解析】细节理解题。由文章第二段第一句可知乡村音乐是关于日常生活和感情的。

【答案】 A

2．People began to make country song records

．

A．in the 1920s B．in 1920

C．in the 1970s D．in 1970

【解析】细节理解题。由文章第四段第四句可知A项正确。

【答案】 A

3．Why did country music bee popular in America?

A．Because city people liked the music.

B．Because farmers moved to cities with their music and it continued to change.

C．Because country music talked about city people's lives.

D．Because country music developed in the Southern Africa.

【解析】细节理解题。由文章倒数第二段可知农民们带着音乐进城使得乡村音乐流行起来。

【答案】 B

4．Who is famous for the song Take Me Home, Country Roads?

A．A farmer in the countryside.

B．A person who moved to towns.

C．John Denver.

D．John Denver's brother.

【解析】细节理解题。由文章最后一段可知这首歌是约翰·丹佛的。

【答案】 C

B

Mozart was one of the greatest posers who ever lived. He was born in Salzburg, Austria, in 1756. Even when he was very young, Mozart loved music. His father, who was the leader of an orchestra, was very happy that his son was so interested in music. When Mozart was three years old, he learned to play the harpsichord, which is a kind of piano. Mozart began to pose music at the age of five, and his father took him to play in front of the kings and queens of Europe.

At one concert, one of the violinists was missing from the orchestra. Mozart picked up a violin and played the music without a mistake. Mozart's father and the other players in the orchestra were surprised. Mozart had never been taught to play the violin! Mozart continued traveling around Europe with his father, who was his teacher in everything. He posed many pieces for the piano, the violin, and later for full

orchestra.

Mozart could write down a piece of music even if he had heard it only once. One day, he went to hear a group of people singing in a big church in Rome. The song was very special. The church leader said that people could sing the song only once a year, and only in his church. No one else was allowed to have the music. Mozart listened to the song. Although it was very difficult and long, Mozart went back home and wrote down the whole piece from memory. The head of the church heard about this, and instead of being angry with Mozart, he gave him a prize.When Mozart grew up, people were not so interested in him. He worked as a teacher and pianist, but he did not make much money. In 1791, at the age of 35, he died. He was so poor that there was not enough money for him to have a proper grave. No one knows where he is buried.

5. The story is mainly about ．

A．Mozart and his music

B．a leader of an orchestra

C．the life of a great poser

D．the head of a church in Rome

【解析】从全文可知本文主要讲述了一位伟大音乐家的一生。

【答案】 C

6. Mozart's father helped Mozart a lot by ．

A．teaching him about music

B．giving him a violin to play with

C．sending him to a music school

D．giving him a lot of money

【解析】从第一段和第二段可知答案。

【答案】 A

7．When Mozart was only three years old, he ．

A．went to Rome

B．began to sing

C．began to pose music

D．played the harpsichord

【解析】从第一段的第五句可知答案。

【答案】 D

8. Although Mozart was one of the world's greatest posers, ．

A．he died poorly

B．he did not teach anyone

C．he did not know many famous people

D．he couldn't play the piano or violin

【解析】从最后一段可知答案。

【答案】 A

C

You wake up in the morning, the day is beautiful and the plans for the day are what you have been looking forward to for a long time. Then the telephone rings, you say hello, and the drama starts. The person on the other end has a depressing(令人沮丧的) tone in his voice as he starts to tell you how terrible his morning is and that there is nothing to look forward to. You are still in a wonderful mood? Impossible!

municating with negative(消极的) people can wash out your happiness. It may not change what you think, but municating long enough with them will make you feel depressed for a moment or a long time.

Life brings ups and downs, but some people are stuck in the wrong idea that life has no happiness to offer. They only feel glad when they make others feel bad. No wonder they can hardly win others' pity or respect.

When you municate with positive(积极的) people, your spirit stays happy and therefore more positive things are attracted. When the dagger(匕首) of a negative person is put in you, you feel the heavy feeling that, all in all, brings you down.

Sometimes we have no choice but to municate with negative people. This could be a co-worker, or relative. In this case, say what needs to be said as little as possible. Sometimes it feels good to let out your anger back to a negative person, but all this is to lower you to that same negative level and they won't feel ashamed of themselves about that.

Negativity often affects happiness without even being realized. The negative words of another at the start of the day can cling to(附着) you throughout the rest of your day, which makes you feel bad and steals your happiness. Life is too short to feel

negative. Stay positive and avoid negativity as much as possible.

【语篇解读】本文介绍了同消极的人和积极的人交往的不同之处。

9．How can negative people have effect on us?

A．By telling us the nature of life.

B．By influencing our emotion.

C．By paring their attitude to life with ours.

D．By changing our way of thinking.

【解析】细节理解题。根据文中第一、二段可得知，与消极的人交谈会使自己感到郁闷，所以消极的人是会影响到我们的情绪和情感的。

【答案】 B

10．Some negative people base their happiness on ．

A．other people's pity for them

B．building up a positive attitude

C．making other people unhappy

D．other people's respect for them

【解析】细节理解题。从第三段“They only feel glad when they make others feel bad.”可推断出消极的人是把自己的快乐建立在别人的痛苦之上。

【答案】 C

11．According to the passage, to reduce negative people's influence on us, we are advised ．

A．to change negative people's attitude to life

B．to show our dissatisfaction to negative people

C．to municate with negative people as little as possible

D．to make negative people feel ashamed of themselves

【解析】细节理解题。根据倒数第二段的“In this case，say what needs to be said as little as possible.”得出答案选C。

【答案】 C

D

The arts，especially music，should be part of every school's lessons at every grade level.Students would be much smarter if they had some musical experience.They

could improve their classroom skills，like paying attention and following directions.People develop all these skills when they learn music.Making music also lets children use their imagination.It provides students with a chance to try out their own ideas.

Music not only makes children better students，but also gives them something positive to do.In a music program，children can be part of a band instead of joining a gang (团伙)．Parents can enjoy listening to their children's music instead of seeing them glued to a puter or TV screen.In a school band，students get to be part of a team.They can get along well with old friends and make new friends through music.

Music builds self-confidence，too.It gives children a sense of achievement and success.Making music is something for them to be proud of，and it lets kids practice performing in front of an audience.Music gives children an opportunity for self-expression，and that helps develop their self-confidence.

Once again，music is important because it can make children better students，give them something positive to do，and build their character.That is why music should be offered in every single grade in every school.

12．According to the passage，music could make students smarter by ．A．improving their classroom skills and paying attention

B．improving their classroom skills and imagination

C．improving their attention，direction and imagination

D．learning music，making music and trying out their own ideas

【解析】细节理解题。根据第一段“Students would be much smarter if they had some musical experience.”和“They could improve their classroom skills，...”以及“Making music also lets children use their imagination”可知音乐可以培养孩子们的课堂技能，使他们发挥想象力，从而变的更为聪明，选B。

【答案】 B

13．What does the underlined phrase “glued to”in the second paragraph mean?

A．Unwilling to turn on.

B．Always looking.

C．Unwilling to leave.

D．Always playing.

【解析】猜测词义题。从情理可知孩子们喜欢看电视，玩电脑，而且不愿意离开，由下而上此判断该词义为“unwilling to leave”，选C。

【答案】 C

14．The third paragraph mainly tells us that music could .

A．give children self-expression and self-confidence

B．bring to children achievement and success

C．give children something to be proud of

D．develop children's self-confidence

【解析】主旨大意题。第三段首句提出Music builds self-confidence，too.“音乐也构建自信”，然后对此进行解释分析，由此判断此句为主题句，故答案选D。

【答案】 D

15．What's the best title of this passage?

A．Music is a must as a course at school

B．Music builds children's self-confidence

C．Music makes students much smarter

D．Learning music and making music

【解析】主旨大意题。文章开门见山提出“The arts，especially music，should be part of every school's lessons at every grade level.”这一文章的主题。然后在下文进行分析论证，由此判断A选项内容具有较高的概括性，而且针对性强，选A。

【答案】 A

Ⅱ.阅读填句(共5小题；每小题2分，满分10分)

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。选项中有两项为多余选项。

Forgiveness

To forgive is a virtue, but no one has ever said it is easy. When someone has deeply hurt you, it can be extremely difficult to let go of your hate. However, forgiveness is possible, and it can be surprisingly beneficial to your physical and mental health. People who forgive show less sadness, anger and stress and more

hopefulness, according to a recent research.

16 Try the following steps：

Calm yourself. 17 You can take a couple of breaths and think of something that gives you pleasure: a beautiful scene in nature, or someone you love.

Don't wait for an apology. Many times the person who hurt you does not intend to apologize. They may have wanted to hurt you or they just don't see things the same way. 18 Keep in mind that forgiveness does not necessarily mean being friends again with the person who upset you.

Take the control away from your offender (冒犯者). Rethinking about your hurt gives power to the person who caused you pain. Instead of focusing on your wounded feelings, learn to look for the love, beauty and kindness around you. 19 If you understand your offender, you may realize that he or she was acting out of unawareness, fear, and even love. You may want to write a letter to yourself from your offender's point of view.

Don't forget to forgive yourself. 20 But it can rob you of your self-confidence if you don't do it.

A．Why should you forgive?

B．How should you start to forgive?

C．Recognize the benefits of forgiveness.

D．Try to see things from your offender's angle.

E．For some people, forgiving themselves is the biggest challenge.

F．To make your anger die away, try a simple stress-management technique.

G．If you wait for people to apologize, you could be waiting an awfully long time.

【答案】16－20BFGDE

Ⅲ.完形填空(共20小题；每小题1.5分，满分30分)

阅读下面短文，从短文后各题所给的四个选项(A、B、C和D)中，选出可以填入空白处的最佳选项。

Marianne, a schoolgirl, was learning to play the piano, and day after day her father stood behind her as she practised. How 21 and kind her father was, and how clearly he showed Marianne how to play some particularly difficult 22 . She was making progress and that was excellent.

And there, almost 23 in the big chair, sat Wolfgang, her four-year-old brother, who never had to be told to keep 24 when Marianne was practising.

One evening at sundown the father patted Marianne's shoulder saying she had done quite well. At the 25 Wolfgang climbed on his father's knee and 26 to be allowed to play the pretty piece Marianne had now 27 . What a 28 that was! Picking up his baby, the father laughed, tapped the tiny nose and 29 ，“Look at your small 30 ．You cannot 31 all the notes yet. You must 32 ，little man.”

There was no end of 33 during the tea, and Marianne had to tell her mother about Wolfgang 34 to play one of the classics(经典音乐). After dinner Marianne helped 35 the dishes when the father lit his pipe.

But the pipe 36 . He was on his 37 ．“Listen！”he said in an astonished voice. “Listen! Marianne is playing that piece much prettier than ever，”he 38 ．

But Marianne was washing plates in the kitchen.

His wife following, he moved slowly upstairs. A lamp in one hand and his pipe in the other, he 39 open the door, and there was little Wolfgang playing in 40 . “I love it，”whispered the child.

【语篇解读】本文叙述的是父亲教女儿玛丽安妮学弹钢琴，女儿取得了很大进步。但有一天晚上，琴房传出悦耳的经典音乐，原来是玛丽安妮4岁的小弟弟正在演奏，他真是个天才。

21. A．worried B．happy

C．patient D．anxious

【解析】每当玛丽安妮练钢琴时，父亲总是站在她身后，耐心地看着她。

【答案】 C

22. A．one B．piece

C．song D．piano

【解析】父亲教玛丽安妮演奏相当难的一首曲子。some后接单数名词，表示“某一个”。

【答案】 B

23. A．disappeared B．hurt

C．lost D．missed

【解析】lost in...意为“陷入/沉浸在……之中”。这里暗示弟弟年龄小，坐在大的椅子上看不到了。

【答案】 C

24. A．watching B．calm

C．quiet D．hacking

【解析】姐姐在演奏时，弟弟从不需要别人告诉他要保持安静。

【答案】 C

25. A．moment B．time

C．point D．minute

【解析】at the moment相当于at that moment，指玛丽安妮被父亲拍肩赞扬的时刻。

【答案】 A

26. A．begged B．persuaded

C．advised D．required

【解析】beg语气强烈，意为“请求，乞求”；require含有命令之意。此处指弟弟请求父亲让他也试一试。

【答案】 A

27. A．learned B．stopped

C．mastered D．passed

【解析】master指“熟练掌握”；learn指“学习”。

【答案】 C

28. A．joke B．surprise

C．pleasure D．pity

【解析】父亲不相信4岁的儿子能演奏经典乐章，认为他是在开玩笑。

【答案】 A

29. A．suggested B．thought

C．said D．should

【解析】下文是说话的内容，故C项正确。

【答案】 C

30. A．head B．nose

C．age D．hands

【解析】弹钢琴要用手，父亲认为儿子太小，手不够大。

【答案】 D

31. A．cover B．play

C．reach D．write

【解析】cover有“覆盖”之意，这里指父亲认为儿子的手太小，不能覆盖琴键。

【答案】 A

32. A．learn B．wait

C．apologize D．try

【解析】父亲建议儿子长大一点儿后再弹钢琴。

【答案】 B

33. A．quarrel B．fun

C．laughing D．conversation

【解析】吃晚点时，玛丽安妮一家有很多乐事。no end of fun意为“没完没了的乐事”。

【答案】 B

34. A．insisting B．dreaming

C．demanding D．wanting

【解析】want to do sth.指“心里想要做某事”；demand to do sth.强调在正当理由下要求做某事。

【答案】 D

35. A．make up B．put up

C．clear away D．wash away

【解析】clear away意为“清理”，即玛丽安妮帮忙收拾餐具。

【答案】 C

36. A．put out B．went out

C．dropped down D．broke down

【解析】go out意为“熄灭”。从下文可知，父亲的烟斗点燃后又熄灭了。

【答案】 B

37．A.feet B．ear

C．eye D．watch

【解析】be on one's feet意为“站起来”。父亲这时站了起来，他以为是女儿在弹奏。

【答案】 A

38. A．answered B．whispered

C．added D．asked

【解析】父亲接着又说道。add在这里意为“补充说”。

【答案】 C

39. A．broke B．struck

C．kicked D．pushed

【解析】父亲把门推开，结果令他深感意外。push open the door把门推开。

【答案】 D

40. A．the darkness B．the light

C．the shade D．silence

【解析】in the darkness在黑暗处；in the shade在阴凉处。父亲上楼时手里拿着灯，故A项合适。这里指玛丽安妮的小弟弟正坐在黑暗的房间里演奏。

【答案】 A

Ⅳ.语法填空(共10小题；每小题1.5分，满分15分)

【导学：06590057】阅读下面材料，在空白处填入适当的内容(1个单词)或括内单词的正确形式。

Friendship is one of 41.(important) things in everyone's life. 42. is very difficult to find a better definition(定义) of friendship. A true friend is the person 43. can share all our sadness and double all our 44. (happy). In time of trial(尝试), he or she is always at our side to give us his or her help and fort.

45．(know)how valuable friendship is, we should be very careful with our 46.(choose) of a friend. We should choose those people with a good character(品质) as our friends, but we must try to avoid 47.(make) friends

with a bad man. Besides, we should forgive their mistakes and try to help them as much as possible.

A true friend can always 48. (trust), loved and respected. If you tell a friend your secrets, he or she won't tell others. Friends share their 49. (joy) and sorrows. They help each other when they are 50. trouble, and cheer each other up when they are sad. The most important thing is that a friend always understands you. In conclusion, when you have made a good friend, don't forget him or her.

【答案】 41. the most important 42.It 43.who/that 44.happiness 45. Knowing 46.choice 47．making 48.be trusted 49.joys 50.in

Ⅴ.短文改错(共10小题；每小题1分，满分10分)

假定英语课上老师要求同桌之间交换修改作文，请你修改你同桌写的以下作文。文中共有10处语言错误，每句中最多有两处。每处错误仅涉及一个单词的增加、删除或修改。

增加：在缺词处加一个漏字符(∧)，并在其下面写出该加的词。

删除：把多余的词用斜线(\)划掉。

修改：在错的词下划一横线，并在该词下面写出修改后的词。

注意：1.每处错误及其修改均仅限一词；

2.只允许修改10处，多者(从第11处起)不计分。

During the weekend I travelled by the air for the first time in my life. I usual travel by train or bus. It's all cheaper and safer. But to fly in the sky was something new to me. At the end I felt a little nervous. But very soon I became exciting when I found me high up in the sky among the clouds. I also found that mountains, fields, river and so on was interestingly small. I enjoy the frightening and fortable journey very much. After all, it is more interesting take a plane than to take a car.

【答案】

During the weekend I travelled by air for the first time in my life. I usual usually travel by train or bus. It's all both cheaper and safer. But to fly in the sky was

something new to me. At the end beginning/start I felt a little nervous. But very soon I

became exciting excited when I found me myself high up in the sky among the clouds. I also

found that mountains, fields, river

rivers and so on

was

were interestingly small. I

enjoy

enjoyed

the frightening and fortable journey very much. After all, it is more interesting

take a plane than to take a car.

Ⅵ.书面表达(满分25分) 【导学：06590058】

请根据以下内容，以“Chopin—a great musician”为题，写一篇100词左右的英语短文，介绍著名的音乐家肖邦。

内容包括：

1．肖邦是世界闻名的作曲家和钢琴家。他一生创作了近200首深受人们喜爱的乐曲。1810年，肖邦出生于波兰。

2．肖邦最初接触音乐是跟随母亲学钢琴。到六岁时，肖邦创作出了一系列作品，充分展现了他非凡的音乐天赋。

3．16岁时，肖邦进入华沙音乐学院学习，师从德国音乐家约瑟夫·艾尔斯内(Józef Elsner) 。

4．离开华沙音乐学院后，肖邦到了当时的音乐圣地——维也纳。在那里，他不仅举办了多场音乐会，还发表了不少音乐作品。

5．1849年，肖邦逝世于巴黎的寓所中，结束了短短39年的生命。

参考词汇：作品position华沙音乐学院the Warsaw Conservatory of Music 寓所dwelling

【参考范文】

Chopin－a great musician

Chopin, a world-famous poser and pianist in modern times，created nearly 200 musical positions and they are still popular among people nowadays. He was born in Poland in 1810.His early training began at home, including receiving piano lessons from his mother. By the age of six, Chopin had created a series of musical positions, showing outstanding musical talent. When Chopin was sixteen, he attended the Warsaw Conservatory of Music, directed by German poser Józef Elsner. After that, Chopin went to Vienna, the unquestioned centre of music at that time, where he gave piano concerts and had lots of his works published.

In 1849，Chopin died at the age of 39 in the dwelling of Paris.

高中物理 模块综合测评(A)新人教版

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C ．1 D ．－1或1 答案：B 解析：(法一)f (－x )＝lg(1 1＋x ＋a )＝－f (x )， ∴f (－x )＋f (x )＝0，即lg[(21＋x ＋a )(2 1－x ＋a )]＝0， ∴a ＝－1. (法二)由f (0)＝0得a ＝－1. 9．某种生物的繁殖数量y (只)与时间x (年)之间的关系式为y ＝a log 2(x ＋1)，设这种生物第一年有100只，则第7年它们发展到( ) A ．300只 B ．400只 C ．500只 D ．600只 答案：A 解析：由题意得100＝a log 2(1＋1)，∴a ＝100，∴第7年时，y ＝100log 2(7＋1)＝300. 10．在同一坐标系中，函数y ＝x a (a ≠0)和y ＝ax ＋1 a 的图象应是如图所示的( ) 答案：B 解析：y ＝x a 为幂函数，y ＝ax ＋1a 为一次函数．对于A ，y ＝x a 中，a ＜0，y ＝ax ＋1 a 中， 由倾斜方向判断a ＞0，∴A 不对；对于B ，y ＝x a 中，a ＜0，y ＝ax ＋1 a 中，a ＜0，∴B 对；对 于C ，y ＝x a 中，a ＞0，y ＝ax ＋1 a 中，由图象与y 轴交点知a ＜0，∴C 不对；对于D ，y ＝x a 中，a ＞0，y ＝ax ＋1 a 中，由倾斜方向判断a ＜0，∴D 不对． 11．已知f (x )是R 上的偶函数，且满足f (x ＋4)＝f (x )，当x ∈(0,2)时，f (x )＝x ＋1，则f (3)等于( ) A ．2 B ．－2 C ．1 D ．－1 答案：A 解析：由条件知f (3)＝f (－1＋4)＝f (－1)．又因为f (－1)＝f (1)，当x ∈(0,2)时，f (x )＝x ＋1，所以f (1)＝2.所以f (3)＝f (－1)＝f (1)＝2. 12．函数f (x )＝????? a x (x ＜1)，(a －3)x ＋4a (x ≥1) 满足对任意x 1≠x 2，都有f (x 1)－f (x 2) x 1－x 2＜0成立，则 a 的取值范围是( ) A ．(0，34) B ．(0，3 4 ] C ．(0,1) D ．[3，＋∞) 答案：B

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A. 1a －b ＞1a B.1a ＞1b C ．|a |＞|b | D ．a 2＞b 2 A [取a ＝－2，b ＝－1，则1a －b ＞1 a 不成立．] 6．若集合A ＝{x |ax 2－ax ＋1＜0}＝?，则实数a 的取值范围是( ) A ．(0,4) B ．[0,4) C ．(0,4] D ．[0,4] D [当a ＝0时，满足条件；当a ≠0时，由题意知a ＞0且Δ＝a 2－4a ≤0，得0＜a ≤4，所以0≤a ≤4.] 7．已知x ＞0，y ＞0，且x ＋2y ＝2，则xy ( ) A ．有最大值为1 B ．有最小值为1 C ．有最大值为1 2 D ．有最小值为1 2 C [因为x ＞0，y ＞0，x ＋2y ＝2， 所以x ＋2y ≥2x ·2y ，即2≥22xy ，xy ≤1 2， 当且仅当x ＝2y ，即x ＝1，y ＝1 2时，等号成立． 所以xy 有最大值，且最大值为1 2.] 8．函数f (x )＝x 12 －? ?? ?? 12x 的零点个数是( ) A ．0 B ．1 C ．2 D ．3 B [函数f (x )＝x 12 －? ????12x 的零点个数是方程x 12－? ? ? ??12x ＝0的解的 个数，即方程x 12 ＝? ????12x 的解的个数，也就是函数y ＝x 12与y ＝? ? ? ? ?12x 的图象的交点个数，在同一坐标系中作出两个函数的图象如图所示，可得交点个数为1.] 9．若函数y ＝a ＋sin bx (b ＞0且b ≠1)的图象如图所示，则函数y ＝log b (x －a )的图象可能是( )

2016-2017学年高中化学人教版必修一模块综合测评(附答案解析)

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选修2-1 模块综合检测(B) 一、选择题 1、如图，在长方体ABCD—A1B1C1D1中，AB＝BC＝2，AA1＝1，则BC1与平面BB1D1D所成角的正弦值为( ) A. 6 3 B. 25 5 C. 15 5 D. 10 5 2、“a>0”是“|a|>0”的( ) A．充分不必要条件 B．必要不充分条件 C．充要条件 D．既不充分也不必要条件 实用文档

实用文档 3、若双曲线x 2a 2－ y 2 b 2 ＝1 (a >0，b >0)的右支上到原点和右焦点距离相等的点有两个，则双曲线离 心率的取值范围是( ) A ．e > 2 B ．12 D ．1

实用文档 A.x 22－y 24＝1 B.x 24－y 2 2 ＝1 C.y 24－x 22＝1 D.y 22－x 2 4 ＝1 7、已知a ＝(cos α，1，sin α)，b ＝(sin α，1，cos α)，则向量a ＋b 与a －b 的夹角是( ) A ．90° B．60° C．30° D．0° 8、设双曲线x 2a 2－ y 2b 2 ＝1(a >0，b >0)的渐近线与抛物线y ＝x 2＋1相切，则该双曲线的离心率等于 ( ) A. 3 B ．2 C. 5 D.6 9、已知正四棱柱ABCD —A 1B 1C 1D 1中，AA 1＝2AB ，E 为AA 1的中点，则异面直线BE 与CD 1 所成角的余弦值为( ) A.10 10 B.15 C. 310 10 D.3 5

模块综合检测(一)

模块综合检测（一） (时间120分钟，满分150分) 一、选择题(本题共10小题，每小题6分，共60分) 1．命题“?x 0∈R,2x 0－3＞1”的否定是( ) A ．?x 0∈R,2x 0－3≤1 B ．?x ∈R,2x －3＞1 C ．?x ∈R,2x －3≤1 D ．?x 0∈R,2x 0－3＞1 解析：选C 由特称命题的否定的定义即知． 2．已知条件甲：ab ＞0；条件乙：a ＞0，且b ＞0，则( ) A ．甲是乙的充分但不必要条件 B ．甲是乙的必要但不充分条件 C ．甲是乙的充要条件 D ．甲是乙的既不充分又不必要条件 解析：选B 甲?/乙，而乙?甲． 3．对?k ∈R ，则方程x 2＋ky 2＝1所表示的曲线不可能的是( ) A ．两条直线 B ．圆 C ．椭圆或双曲线 D ．抛物线 解析：选D 分k ＝0,1及k ＞0且k ≠1，或k ＜0可知：方程x 2＋ky 2＝1不可能为抛物线． 4．下列说法中正确的是( ) A ．一个命题的逆命题为真，则它的逆否命题一定为真 B ．“a ＞b ”与“a ＋c ＞b ＋c ”不等价 C ．“a 2＋b 2＝0，则a ，b 全为0”的逆否命题是“若a ，b 全不为0，则a 2＋b 2≠0” D ．一个命题的否命题为真，则它的逆命题一定为真 解析：选D 否命题和逆命题互为逆否命题，有着一致的真假性，故选D. 5．已知空间向量a ＝(1，n,2)，b ＝(－2,1,2)，若2a －b 与b 垂直，则|a |等于( ) A.5 32 B.212 C.372 D.3 52

解析：选D 由已知可得2a －b ＝(2,2n,4)－(－2，1,2)＝(4，2n －1,2)． 又∵(2a －b )⊥b ，∴－8＋2n －1＋4＝0. ∴2n ＝5，n ＝52.∴|a |＝ 1＋4＋254＝3 52 . 6．下列结论中，正确的为( ) ①“p 且q ”为真是“p 或q ”为真的充分不必要条件；②“p 且q ”为假是“p 或q ”为真的充分不必要条件；③“p 或q ”为真是“綈p ”为假的必要不充分条件；④“綈p ”为真是“p 且q ”为假的必要不充分条件． A ．①② B ．①③ C ．②④ D ．③④ 解析：选B p ∧q 为真?p 真q 真?p ∨q 为真，故①正确， 由綈p 为假?p 为真?p ∨q 为真，故③正确． 7．已知双曲线的中心在原点，离心率为3，若它的一个焦点与抛物线y 2＝36x 的焦点重合，则该双曲线的方程是( ) A.x 281－y 2 54 ＝1 B.y 281－x 254＝1 C.x 227－y 2 54＝1 D.y 227－x 254 ＝1 解析：选C 由已知得c a ＝3，c ＝9，∴a 2＝27，b 2＝54，且焦点在x 轴，所以方程为x 227 －y 254 ＝1. 8．若直线y ＝2x 与双曲线x 2a 2－y 2 b 2＝1(a ＞0，b ＞0)有公共点，则双曲线的离心率的取值范围为( ) A ．(1，5) B ．(5，＋∞) C ．(1，5] D ．[5，＋∞) 解析：选B 双曲线的两条渐近线中斜率为正的渐近线为y ＝b a x .由条件知，应有b a ＞2， 故e ＝c a ＝a 2＋b 2 a ＝ 1＋???? b a 2＞ 5. 9．已知F 1(－3,0)，F 2(3,0)是椭圆x 2m ＋y 2 n ＝1的两个焦点，点P 在椭圆上，∠F 1PF 2＝α.当α＝2π3 时，△F 1PF 2面积最大，则m ＋n 的值是( ) A ．41 B ．15 C ．9 D ．1