题目内容

【题目】某城市响应城市绿化的号召， 计划建一个如图所示的三角形 形状的主题公园,其中一边利用现成的围墙， 长度为米， 另外两边使用某种新型材料围成， 已知单位均为米）．

（1）求 满足的关系式（指出的取值范围）；

（2）在保证围成的是三角形公园的情况下，如何设计能使所用的新型材料总长度最短？ 最短长度是多少？

【答案】（1），，；（2）当边长均为米时，所用材料长度最短为米．

【解析】

试题分析：（1）在中,由余弦定理，得，再由正弦定理得，

，进而可求解求满足的关系式；（2）要使所用的新型材料总长度最短只需最小，由（1）知，，利用基本不等式，即可求解结论.

试题解析：（1）在中,由余弦定理，得，即 ，

由正弦定理，得，

同理.

（2）要使所用的新型材料总长度最短只需最小，由（1）知，，由于，当且仅当时，等号成立．

所以，所以，故当边长均为 米时，所用材料长度最短为 米．

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【题目】

The United States is one of the few countries in the world that has an official day on which fathers are honoured by their children. On the third Sunday in June, fathers all across the United States are given presents, treated to dinner or otherwise made to feel special.

However，the idea for creating a day for children to honour their fathers began in Spokane，Washington．A woman by the name of Sonora Smart Dodd thought of the idea for Father’s Day while listening to a Mother’s Day sermon in 1909．Having been raised by her father，Henry Jackson Smart，after her mother died，Sonora wanted her father to know how special he was to her．

It was her father that made all the parental sacrifices and was，in the eyes of his daughter，a selfless and loving man．Sonora’s father was born in June，so she chose to hold the first Father’s Day celebration in Spokane，Washington on the 19th of June，1910．

In 1924, President Calvin Coolidge declared the third Sunday in June as Father’s Day．Roses are the Father’s Day flowers：red to be worn for a living father and white if the father has died． When children can’t visit their fathers or take them out to dinner，they send a greeting card．Traditionally，fathers prefer greeting cards that are not too sentimental．Most greeting cards are too special so fathers laugh when they open them．Some give heartfelt thanks for being there whenever the child needs Dad．

【1】The United States is special in Father’s Day because _______.

A．many people celebrate the day

B．only America celebrates the day

C．America makes it an official day

D．all men are honoured in America

【2】At first，Father’s Day was fixed on June 19th because _______.

A．Sonora honoured her father on her father’s birthday

B．Sonora’s birthday was June 19th

C．it was decided by the President at that time

D．her mother died on June 19th

【3】How many years has passed before Father’s Day became an official day since the Father’s Day was celebrated?

A．4．

B．10．

C．14．

D. 24．

【4】According to the passage，on Father’s Day，_______.

A．people will wear the same flowers to honour their fathers

B．only daughters wear red flowers to honour their fathers

C．children must go home to honour their fathers

D．fathers are often honoured in different ways

【5】According to the passage，we can infer that Henry Jackson Smart _______．

A．was very kind to anyone

B．did a lot for his daughter

C．was the first father honoured in 1924

D．always helped others by giving money

【题目】阅读理解

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。

He wishes the holiday season would end already. His back aches, his red suit feels like a spacesuit, his cheeks have gone tight from smiling for 12 hours—and still the kids keep coming and coming, like ants at a picnic. As Christmas becomes more commercialized (商业化) across the U. S. and Canada, so must Santa Claus. As the holiday begins earlier each year, so must its spokesmen.

The questions from children these days are harder than ever. Now, with thousands of children expecting a father or mother serving in Iraq or Afghanistan, the questions are as heartbreaking as they are unanswerable. For example, “Can you please bring Daddy home from the war in time for Christmas morning？”

Santa Claus; also have a pretty good chance of getting sued (指控). A professional Santa Claus in Canada told a story: A Santa had a girl on his knee, and he commented, “You have nice eyes and nice hair.” The girl later said it was sexual harassment (骚扰). When a Santa feels anxious, he often shows it in the same ways ordinary people do. The Santa Claus were always seen to hang around at the dinner table when the show ended. Many of them just sleep in bed for several days and don't see other children again.

【1】In the first paragraph，“spokesmen” refers to ______.

A．businessmen

B．political leaders

C．organizers of the activities

D．Santa Clauses

【2】The passage implies that the job of Santa Claus is ________.

A．well-paid Bvery hard

C．worth doing D．dangerous

【3】According to the third paragraph, Santa Claus may sometimes be blamed for ________.

A．doing something against the law

B．hanging around the dinner table

C．being lazy and sleeping in bed for days

D．not playing their roles as expected

【4】What would be the best title for the passage?

A．Christmas: Not a Good Festival for Santa Claus

B．What Does Santa Claus Do for Children?

C．Is Santa Claus Really Alive?

D．A Christmas Story

【题目】请仔细观察下面这幅漫画，回答后面的问题。

（1）请给漫画拟一个标题。

（2）用一句话揭示这幅漫画的寓意。

答：________________________________________________________________________

________________________________________________________________________

【题目】阅读理解

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。

For 80 years, Macy's Thanksgiving Day Parade has kicked off the holiday season with glorious bands, balloons and floats (花车)，and for one day, it has transformed New York City into a living comic book.

The Macy's Thanksgiving Day Parade is an annual parade presented by Macy's Department Store. It was first held in 1924. It was organized by Macy's employees, most of whom were first generation immigrants(移民)，who wanted to celebrate holidays like they did in Europe. The employees dressed in costumes(盛装)and marched on the streets with floats, bands and live animals borrowed from a zoo.

With an audience of over a quarter of a million people, the parade was such a success that Macy's declared it would become an annual event.

In 1927 Felix, the Cat became the first parade balloon to float over the city. Large animal shaped balloons replaced the live animals from then on. These giant signature(特有的)balloons are by far the biggest attraction of the parade. Each year sees parade balloons adding new characters from comic strip characters to timeless toys.

One tradition long gone is the releasing of the balloons after the parade. They would float for days and the lucky finder or finders could claim a cash reward if he or she returned the balloon or its remains to Macy's.

The parade has gone on every year except during World War Ⅱ when, aside from not having much to cheer about, the helium(氦气)air and rubber used for the balloons were needed for the war effort.

When the parade returned in 1945，it was televised in New York for the first time and also traveled its current route for the first time.

Nowadays, more than 10,000 people participate in the parade and the National Broadcasting Company(NBC) will nationwide broadcast it live from 9 a．m. to noon. The NBC has even earned several Emmy Awards for this program.

As always, the parade will end with a visit from Santa Claus. The joyful old man will get settled in Macy's Department Store after the parade to start a month long search for who's been naughty and who's been nice.

【1】The Macy's Thanksgiving Day Parade originated from the fact________.

A．the first European immigrants showed thanks to the Indians for their help

B．Macy's Department Store hoped to thank its employees for their devotion

C．the first European immigrants showed their traditional celebration of holidays

D．the employees of Macy's Department Store showed thanks to the store

【2】The parade wasn't held once. The reason is that________.

A．people had to do other more important things that time

B．it was forbidden by the government that time

C．people couldn't afford the expensive parade that time

D．a great misfortune prevented it from going on that time

【3】According to the text, the following are true EXCEPT that________.

A．about two hundred and fifty thousand people participated in the first parade

B．large animal shaped balloons are one of the attractions in the parade

C．the visit from Santa Claus marks the end of the parade

D．the television's live broadcast makes the parade more popular

【4】The underlined word “kicked off” in the first paragraph means“________”．

A．put off B．opened up

C．dropped out D．turned into

【题目】第十三届全运会于2017年9月在天津举行，下面是第十三届全运会的会徽，请写出该标志中除2017、汉字和字母以外的构图要素及其寓意，要求语意简明，句子通顺。

答：________________________________________________________________________

________________________________________________________________________

【题目】B

To support and recognize the efforts of parents in bringing up their children, the Parents’ Day had began in USA. Parents’ Day actually gives an opportunity to the parents, their children and all the family members to gather at one place for celebrations. National Parents’ Day is important for all the children of the United States to show their love towards their parents. Apart from organizing a party and arrange some lovely activities, the children get the much required chance to gift cards and flowers to their parents.

5th May is the Children’s Day and 8th May is the Parents’ Day in South Korea. Therefore, it’s a very special month in South Korea. Actually celebrated as Mother’s Day, 8th May, gives the opportunity to the large mass of Korea to show respect and celebrate the efforts of their parents. Flowers are given to their parents. A quality time is spent together for conveying(传递) a message of love and expressing thankfulness to the parents.

Vietnam has a special day which is known as the Parents’ Day. Children grab the opportunity with both hands on 7th July every year to show love to their parents. It’s a day to show how special parents are to their own children. Parents and children enjoy the time as they gather at a place for taking part in different lovely activities. It’s a time to be happy. Parents get the opportunity to go out for the lunch and dinner along with their children. It’s, however, not a National Holiday in Vietnam but it’s a time for the Vietnamese to gift flowers and cards to parents.

The date of the Parents’ Day is different in different countries but purpose of celebrating the day is the same all over the world.

【1】According to the first paragraph, we can learn Parents’ Day ______.

A. has its origin in America

B. is only celebrated by the parents

C. gives an opportunity to the parents to have a rest

D. takes place on the same day as the Children’s day

【2】 Why is May a very special month in South Korea?

A. The parents can stay at home with their kids.

B. Kids receive many flowers from their parents.

C. There are two important days during this month.

D. Every family can get together happily on the weekends.

【3】What is the date of the Parents’ Day in Vietnam?

A. On 1st January..

B. On 5th May.

C. On 8th May.

D. On 7th July.

【题目】书面表达。

假定你是李华，你于2016年1月5日搭乘了某航空公司航班（the flight BA736），回家后发现遗失了一个行李箱。现在用英文给该航空公司写一封信，请他们帮你寻找。

信件要点包括：

1. 陈述写信原因；

2. 简要描述该行李；

3. 说明该行李的重要性；

4. 期待回复并表示感谢。

注意：1. 词数100左右；

2. 可以适当增加细节，以使行文连贯；

3. 开头和结尾已为你写好，不计入总词数。

Dear Sir/Madam,

_______________________________________________________________________________

_______________________________________________________________________________

_______________________________________________________________________________

_______________________________________________________________________________

Yours truly,

Li Hua

【题目】阅读理解。

阅读短文，从每题所给的四个选项（A、B、C和D）中，选出最佳选项。

My parents were in a huge argument, and I was really upset about it. I didn't know who I should talk with about how I was feeling. So I asked Mom to allow me to stay the night at my best friend's house. Though I knew I wouldn't tell her about my parents’ situation, I was looking forward to getting out of the house. I was in the middle of packing up my things when suddenly the power went out in the neighborhood. Mom came to tell me that I should stay with my grandpa until the power came back on.

I was really disappointed because I felt that we did not have much to talk about. But I knew he would be frightened alone in the dark. I went to his room and told him that I'd stay with him until the power was restored. He was quite happy and said, “Great opportunity.”

“What is it?” I asked.

“To talk, you and I” he said. “To hold a private little meeting about what we’re going to do with your mom and dad, and what we're going to do with ourselves now that we're in the situation we are in.”

“But we can't do anything about it. Grandpa,” I said, surprised that here was someone with whom I could share my feelings and someone who was in the same “boat” as I was.

And that's how the most unbelievable friendship between my grandfather and me started. Sitting in the dark, we talked about our feelings and fears of life — from how fast things change to how they sometimes don't change fast enough. That night, because the power went out, I found a new friend, with whom I could safely talk about all my fears and pains, whatever they may be. Suddenly, the lights all came back on. “Well,” he said, “I guess that means you'll want to go now. I really like our talk. I hope the power will go out every few nights!”

【1】I wished to get out of the house because __________.

A. I was eager to have fun with my best friend

B. I found nobody to share my feelings with

C. I wanted to escape from the dark house

D. I planned to tell my friend about my trouble

【2】Grandpa was happy to see me because __________.

A. he could discuss the problem with me

B. he had not seen me for a long lime

C. he was afraid of darkness

D. he felt quite lonely

【3】What can be inferred from the passage?

A. The grandchild was eager to leave.

B. They would have more chats.

C. The lights would go out again.

D. It would no longer be dark.

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