已知函数f(x)=axx+b,且f(1)=1,f(-2)=4.(1)求a、b的值

题型:解答题

问题:

已知函数f(x)=
ax
x+b
,且f(1)=1,f(-2)=4.
(1)求a、b的值;
(2)已知定点A(1,0),设点P(x,y)是函数y=f(x)(x<-1)图象上的任意一点,求|AP|的最小值,并求此时点P的坐标;
(3)当x∈[1,2]时,不等式f(x)≤
2m
(x+1)|x-m|
恒成立,求实数m的取值范围.
考点:函数的单调性、最值函数的奇偶性、周期性
题型:解答题

“The Lord of the Rings”, one of the best sellers in the new millennium(千年), was made up of three parts——“The Fellowship of the Ring”, “Two Towers”, and “The Return of the King”. Millions upon millions of people have read it in over 25 different languages, but fewer know about the author and the history of the composition of the creative masterwork.

John Ronald Reuel Tolkien was born in South Africa in 1892. His parents died when he was a child. Living in England with his aunt, Tolkien and his cousins made up play languages, a hobby that led to Tolkien’s becoming skilled in Welsh, Greek, Gothic, Old Norse and Anglo-Saxon.

After graduating from Oxford, Tolkien served in World War I. In 1917, while recovering from trench fever, he began composing the mythology for The Rings. As a professor of Anglo-Saxon in 1930s at Oxford, Tolkien was part of an informal discussion group called the Inklings, which included several writers. The group was soon listening to chapters of Tolkien’s imaginative work “The Hobbit”.

Hobbit was a name Tolkien created for a local people that could best be described as half-sized members of the English rural(乡村的)class. Hobbits live in hillside holes. One of them, Bilbo Baggins, looks for treasures with a group of dwarves(侏儒). On the way, he meets the twisted, pitiful creature Gollum, from whom he sees a golden ring that makes the holder invisible.

One of Tolkien’s students persuaded her employer, publisher Allen & Unwin, to look at a draft(草稿). The chairman of the firm, Stanley Unwin, thought that the best judge for a children’s book would be his ten-year-old son. The boy earned a shilling for reporting back that the adventure was exciting, and “The Hobbit” was published in 1937.

It sold so well that Unwin asked for a continuation. Over a dozen years later, in 1954, Tolkien produced “The Lord of the Rings”, a series of books so creative that they hold readers—new and old —after their publication.

小题1:What can we learn from the text?

A.“The Lord of the Rings” didn’t sell well in the last millennium.

B.People know better about Tolkien himself than about his works.

C.Tolkien was quite familiar with Old English.

D.Tolkien knew very well about different kinds of local languages in Africa.小题2:What can we learn about “Hobbit” that Tolkien created in his works?

A.Hobbit was a race living in English downtown areas.

B.Hobbit was a local people who were very tall and strong.

C.Hobbit was a social group of people who lived in old castles.

D.Hobbit was a group of people who were mostly dwarves.小题3:Which of the following helped most in making “The Hobbit” published?

A.One of Tolkien’s students.

B.Stanley Unwin’s son.

C.Allen & Unwin.

D.Bilbo Baggins.小题4:What is mainly discussed in the text?

A.“The Lord of the Rings” and its writer.

B.A completely new masterwork in the new millennium.

C.A famous professor at Oxford University.

D.The power of the magic ring.小题5:Which of the following shows the right order of Mr. J.R.R.Tolkien’s life experience?

a. He had his “The Hobbit” published.

b. He became a member of the Inklings.

c. He served in World WarⅠ

d. He became an undergraduate at Oxford.

e. His work “The Lord of the Rings” came to the world.

f. He moved to England to live with his aunt.

A.f-d-b-c-a-e

B.f-c-d-b-e-a

C.f-d-c-b-a-e

D.d-f-c-a-b-e

题型:解答题
电气化铁路的输电线常用图所示的方式悬挂在钢缆上.钢缆的A端固定在电杆上,B端连接在滑轮组上.滑轮组由a、b、c三个滑轮构成,配重P由多个混凝土圆盘悬挂在一起组成,配重的总重为G,若不计摩擦和滑轮的重量,则以下说法中正确的是(  )

A.a为动滑轮,B端钢缆受到滑轮组的拉力大小约为3G

B.a为动滑轮,B端钢缆受到滑轮组的拉力大小约为G

C.a、c为动滑轮,B端钢缆受到滑轮组的拉力大小约为3G

D.a、c为动滑轮,B端钢缆受到滑轮组的拉力大小约为G

题型:解答题

图示结构中,截面B、C间的相对转角等于()

A.Pl2/16EI

B.Pl2/12EI

C.Pl2/8EI

D.Pl2/4EI

题型:解答题

什么叫反馈?什么叫负反馈?

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2010年10月9日,由大陆以及港台20所高校师生组成的一个调查团正式发布了一份《富士康调研总报告》。报告中详细列举了富士康的五宗罪,即强制加班、超时加班;克扣加班费;滥用学生工;漠视职业安全隐患,违反《劳动合同法》《职业病防治法》;“私了”工伤事故。上述报告启示我们()①要对富士康实施破产结算②市场调节具有自发性的弱点和缺陷③企业追求经济效益不能无视社会责任④劳动者享受权利应以履行义务为前提

A.①②

B.②③

C.③④

D.①④

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