证明拉格朗日中值定理:若函数f(x)在[a,b]上连续,在(a,b)可导,则存在ξ∈

题型:问答题

问题:

证明拉格朗日中值定理:若函数f(x)在[a,b]上连续,在(a,b)可导,则存在ξ∈(a,b),使得f(b)-f(a)=f(ξ)(b-a).

考点:普通考研考研数学(二)考研数学二
题型:问答题
阅读下文,完成1~3题。
小品建筑
  ①小品,是一种文体的名称,凡属随笔、杂感、散文一类的小文章统称为小品。“小品建筑”是借用文体“小品”之名,专指那些小而简的建筑。
  ②中国古代建筑与世界其他地区的古代建筑相比,有它鲜明的特点:除了以木构架为主要的结构体系以外,建筑的群体性也是重要特点之一。中国古代建筑的群体性表现为一个建筑往往是由许多单幢建筑组合而成的,从老百姓的住宅到皇帝的宫殿莫不如此。明清两代紫禁城中的太和殿,作为当时地位最重要、规模最大的建筑也就是一幢平面为长方形、内部也没有分割的单层大殿。然而,就是这些简单的单幢建筑组合成紫禁城这个建筑群体。
  ③这些建筑群体除了有连成一体的殿堂、廊屋、门楼等,还有不少形形色色的相对独立的小建筑与之相配。例如,一座宫殿、一组寺院或者坛庙,甚至大型的住宅,人们都可以看到在建筑群的最外面往往竖立着牌楼;在建筑群大门的前面立有华表、石狮子;在建筑群的主要殿堂前面排列着香炉、日晷[注]以及龟、鹤等兽像。人们熟悉的 * * 是明清两代皇城的大门,九开间的大殿坐落在高大的城台之上。它的形体已经够宏伟的了,但是还不够,在 * * 前金水河上有几座金水桥,在桥的左右两边又各安放了一尊石雕狮子和一根华表。正是这威武的狮子、高耸的华表,装点了这座气势恢弘的皇城大门。可见,这些小品建筑在整个建筑群中虽然不是主要部分,但确实起着重要的作用。
  ④自然,所谓小品建筑,只是相对大建筑而言,二者之间并没有明确的界限。例如,在重要建筑群中,作为标志的牌楼应属小品。而一般建筑群的一些院门虽然形体并不大,也有一定的装饰作用,但是,因为这类院门都附在院墙上,并非独立存在,所以不属于小品建筑。中国古代众多的小品建筑都有着特殊的形态和特定的文化内涵,它们在我国古代建筑发展中也是相当有成就的。
                                         (有删改)
【注】日晷(guǐ):古代一种利用太阳投射的影子来测定时刻的装置。
1.文章开头从一种文体的名称“小品”写起,有什么作用?
___________________________________________________
2.第②段的说明层次是:先说明______________(不超过20个字),再说明______________(不超过10个字),最后______________(不超过15个字)。
3.阅读下面介绍“宁寿宫”的材料,借助文章中的相关知识,说出“宁寿官”中哪一个建筑属于“小品建筑”,为什么?
  【链接材料】
  北京紫禁城内的宁寿宫,是清代乾隆皇帝准备退位后当太上皇时居住和使用的。这是一组有相当规模的宫殿建筑群。这些建筑的布置很注意显示皇家气魄。主建筑宁寿宫建于单层石台基之上,与皇极殿相接。宁寿宫建筑群的入口是面向南的皇极门,皇极门气宇轩昂。皇极门的南面,立着一座很长的影壁,影壁上有九条用琉璃烧制的巨龙,这就是有名的“九龙壁”。
___________________________________________________
题型:问答题
完形填空。
     On a cold winter day, I waited in line to see my hero,Jack Canfield, the author of The
Success Principles.
     During his talk, Jack__1__his wallet, pulled out ahundred-dollar bill, and said, "Who
wants this?"__2__shot up in the audience; people leaned forward to see whomJack
would__3__. But Ijumped up, ran up the __4__tothe stage, and grabbed the bill. As I
was launching myself inthe air, thoughts__5__through my mind - was I about tobe
humiliated(羞辱)in front of 800 people? Would they__6__security guards and take me
f rom the stage?__7__my desire(欲望,要求)for brave action was louder than any__8__voice.
     As I got the bill from his hand,he said, "That's it ! Wecan't wait for the__9__to come to
us. We must take action to__10__what we want!" 
     After his talk, 1 managed to formally meet Jack and bravely asked for his__11__email
address. Over the next months, I sent him emails__12__my vision and dreamswith him. He
kindly emailed back lots of encouragement. But my life got__13__with other things. I stopped
e-mailingJack.
     A year later, my dreams had worn away. I thought Jackwould inspire me into action, like
a gian__14__that would show me the way.
     I emailed him, and then again---but got no__15__. As I sat down at my computer to
check my emails, I_16__woke up. What was I doing? I was waiting! Now I remembered
the crowd, most likely__17__that hundred- dollar biil, while they sat__18__ to their chairs.
Usually we all have a "Jack" for whom we wait-whether it's a person, a place or a thing.
We __19__believe the gifts of life are just around the corner, and thateverything will come
in a(n)__20__way. So we don't try. We give up. But as Wayne cretzky said: "You'll always
miss 100% of the opportunities you don't take!" So I stopped waiting and started my writing
career.Now what are you waiting for?
( )1.A. gave out
( )2.A. Cheers
( )3.A.offer
( )4.A. path
( )5.A. raced
( )6.A. ask
( )7.A. And
( )8.A. careful
( )9.A. opportunitie
( )10.A. attract
( )11.A. professional
( )12.A. speaking
( )13.A. quick
( )14.A. hand
( )15.A. news
( )16.A. gradually
( )17.A. desiring
( )18.A. lost
( )19.A. sincerely
( )20.A. difficult

B. reached for
B. Shouts
B. greet
B. road
B. started
B. call
B. So
B. doubtful
B. times
B. accept
B. secret
B. describing
B. busy
B. gate
B. notice
B. suddenly
B. announcing
B. stuck
B. honestly
B. impressive

C. picked out
C. Heads
C.like
C. steps
C. appeared
C. demand
C. But
C. meaningful
C. results
C. repair
C. public
C. presenting
C. full
C. exit
C. response
C. immediately
C. begging
C. attached
C. falsely
C. early

D. handed in
D. Hands
D. choose
D. route
D. existed
D. order
D. ()r
D. helpful ,.
D. aims
D. create
D. personal
D. sharing
D.loose
D. entrance
D. reaction
D. slowly
D. valuing
D. devoted
D. correctly
D. natural

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实施调控一体操作时,应具备()和()等验证机制,防止保护误投和误整定的发生。

A.保护投退定值变更

B.地址变更保护投退

C.定值变更地址变更

D.定值变更压板投退

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