问题 解答题

运用从“特殊到一般”,再从“一般到特殊”的思想解方程x2n=1(n为正整数),并且根据你发现的规律解方程x64=1.

答案

当n=1时,x2=1,所以x=±1;

当n=2时,x4=1,所以(x22=1;

∴x2=±1,

又∵x2≥0,

∴取x2=1,得x=±1,

而2n在n取正整数时恒为偶数,由此归纳出方程x2n=1,在实属范围内只有两个解,

即x=±1,

所以x64=1的解为x=±1.

阅读理解与欣赏

阅读下面的文字,完成后面的题目。

乱世出奇才

陶渊明,又名潜,字元亮,私谥靖节,别号五柳先生。生于晋哀帝兴宁三年(公元365年)卒于宋文帝元嘉四年(公元427年),浔阳柴桑(今江西九江)人。他既是中国文学史上地位崇高的大诗人和大散文家,又是歧见最多的作家之一。他的引人注目之处一在于他的五度出仕而后坚隐不出,二在于他的诗文冲淡清雅、天然纯真而又偶现豪壮之气,三在于他的长期被埋没而后又被奉为一代宗师。多年来,陶渊明作为人们心目中才华超卓,情志雅远,旷群脱俗,率真任情的文学奇才和士林怪杰,对中国文学和中国文化发生了深刻的影响。这种影响,只有从陶渊明所处时代环境入手,审视他的心路历程和诗文道路,才能够予以更全面、恰切的评判与显扬。

奇才怪杰的诞生,常常是有条件的。正常的时代,人的思想融入生活之中,不会有多余的意识来反观生命本身。只有在不平凡的时代,人们在得失、成败、荣辱、幸运与乖蹇之中惊喜、向往、痛苦、迷惑,在心理的不平衡中追求和谐,又从和谐中产生新的裂变,这才有了美到极致的陶渊明。情感和意绪,有了深到极致的哲理认识,这才产生了诗人、作家、哲学家。所谓愤怒出诗人,痛苦出哲学家,就是这个道理。人之所以超越于凡人,并不是因为天赋灵气,而是不平凡的人生,所谓“天才”只是一种美誉,一种羡叹,归根结底是由于后天的不平凡的经历,不同于一般人的主观追求与客观历练。而时代,则又直接或间接地影响个人的心态和生命历程,将其不平凡加诸于个人,并常常以文学或哲学的形式体现出来。这就是乱世出奇才的必然性。

陶渊明一生大部分时间是在东晋王朝中度过的,晚年经历了晋宋易代。他生活在我国封建社会史上一个大分裂、大混乱的时期,整个中国社会矛盾重重、危机四伏、战争频仍、祸乱不已,陶渊明降世之时,西晋灭亡已48年,东晋偏处一隅,时时受到北方的进犯,统治集团内部却并不励精图治,团结御侮,更不思收复失地,而是沉湎于江南鱼米之乡的安乐而不能自拔。大批兵权在握的将领,多以扩展个人实力、相互勾心斗角为能事,致使少数爱国志士如祖逖等发起的几次北伐复土运动,都半途而废。所以青少年时的陶渊明,虽然也曾经“猛志逸四海”,也曾经“抚剑独行游”,却终因报国无门,建功无望,终于选择了田园。

公元383年的淝水之战以东晋大败前秦告捷,但外患稍缓,内乱继起,这就是公元399年爆发的历时十二年、波及南方大部分地区的孙恩、卢循大起义。义军与官军的长期战争,给劳动群众带来更大灾难。陶渊明的故乡江洲浔阳是京都金陵的屏障,为兵家必争之地,遭受战火的毁坏更为惨重。陶渊明的诗文中对这次战乱虽无直接描写,但触目惊心,他的悲观、避世的情绪,他的桃花源理想,都因此油然而生。外患内乱使人们连生存都成问题,更不用说展其才志了。东晋统治集团内部的相互倾轧,更是令一切有识之士失望、厌倦。陶渊明一度在桓玄手下为吏,后又入刘裕幕府中任镇军参军,亲睹了一帮野心家们争权夺利、犯上作乱的一幕幕,其心中那种不齿而无奈,渴盼远离尘嚣的情绪可想而知。

陶渊明是在数番入仕过程中认识到他的个人理想和社会理想无从在这个动荡不堪的时代实现的。所以他才最后下决心归田。这既是一种消极退避,也确实是无可奈何,是无力回天的情形下做出的明智抉择。孔子知其不可为而为之,但孔子那时还是能够有所为的,而陶渊明非退避不得免祸消灾,非隐居不能独善其身,以其才,以其情,以其时,他实在是除了吟诗作赋,再也不能别有所为了,转为歇斯底里,坠井而死,年仅57岁。

(摘编自龚斌《中华名人传记》

小题1:下列对传记有关内容的分析和概括,最恰当的两项是(5分)

A.陶渊明旷群脱俗,率真任情的做法不合封建正统思想也是他成为“又是歧见最多的作家之一”的一方面原因。

B.陶渊明一生大部分时间是生活在一个大分裂、大混乱的时期,也曾几度出仕,最后下决心归田,虽消极退避,但也是保全性命的明智抉择。

C.“外患内乱使人们连生存都成问题,更不用说展其才志了”。但外患内乱则又直接或间接地影响个人的心态和生命历程,对文学家或哲学家或许是大幸。

D.陶渊明报国无门,建功无望,终于选择了田园,由此,他曾经“猛志逸四海”,“抚剑独行游”的理想壮志也就不复存在了。E.文章的后半部分却着重写晋宋时代大分裂、大混乱的外患内乱,照应了本文的题目“乱世出奇才”,从而突出了陶渊明的“奇才”。

小题2:文中说:陶渊明是中国文学史上地位崇高的大诗人和大散文家。结合原文简要谈谈你的理解。(6分)

小题3:“奇才怪杰的诞生,常常是有条件的”,请简要分析其“条件”。(6分)

小题4:在动荡不堪的时代,是像陶渊明一样“归隐”呢,还是像孔子所说“知其不可为而为之”呢?对此你赞成哪种看法呢?请谈谈你的观点和理由。(8分)

第Ⅱ卷 表达题

填空题

Thanks to the rise of social media, news is no longer gathered exclusively by reporters and turned into a story but emerges from an ecosystem in which journalists, sources, readers and viewers exchange information. The change began around 1999, when blogging tools first became widely available, says Jay Rosen, professor of journalism at New York University. The result was "the shift of the tools of production to the people formerly known as the audience," he says.

(41) ______.

At first many news organisations were openly hostile towards these new tools. In America the high point of the antagonism between bloggers and the mainstream media was in late 2004, when "60 Minutes", an evening news show on CBS, alleged on the basis of leaked memos that George Bush junior had used family connections to win favourable treatment in the Air National Guard in the 1970s. (42) ______ CBS retracted the story and Dan Rather, one of the most respected names in American news, resigned as the show’s anchor in early 2005.

(43) ______ Newspapers and news channels have since launched blogs of their own, hired many bloggers and allowed readers to leave comments. They also invite pictures, video and other contributions from readers and seek out material published on the Internet, thus incorporating non-journalists into the news system.

(44) ______ "We see these things as being highly complementary to what we do," says Martin Nisenholtz of the New York Times. Many journalists who were dismissive about social media have changed their tune in the past few months as their value became apparent in the coverage of the Arab uprisings and the Japanese earthquake, says Liz Heron, social-media editor at the New York Times.

Rather than thinking of themselves as setting the agenda and managing the conversation, news organisations need to recognise that journalism is now just part of a conversation that is going on anyway, argues Jeff Jarvis, a media guru at the City University of New York. (45) ______. All this requires journalists to admit that they do not have a monopoly on wisdom. "Ten years ago that was a terribly threatening idea, and it still is to some people," says the Guardian’s Alan Rusbridger. "But in the real world the aggregate of what people know is going to be, in most cases, more than we know inside the building. "

[A] Journalists are becoming more inclined to see blogs, Facebook, Twitter and other forms of social media as a valuable adjunct to traditional media (and sometimes a corrective to them).

[B] The role of journalists in this new world is to add value to the conversation by providing reporting, context, analysis, verification and debunking, and by making available tools and platforms that allow people to participate.

[C] By providing more raw material than ever from which to distil the news, social media have both done away with editors and shown up the need for them.

[D] This was followed by a further shift: the rise of "horizontal media" that made it quick and easy for anyone to share links (via Facebook or Twitter, for example) with large numbers of people without the involvement of a traditional media organisation. In other words, people can collectively act as a broadcast network.

[E] With a single click of a Facebook "Like" button, for example, you can recommend a story, video or slideshow to your entire network of friends.

[F] Bloggers immediately questioned the authenticity of the memos. A former CBS News executive derided blogging as "a guy sitting in his living room in his pyjamas writing what he thinks". But the bloggers were right.

[G] But in the past few years mainstream media organisations have changed their attitude. The success of the Huffington Post (博客网站), which launched in May 2005 with a combination of original reporting by members of staff, blog posts from volunteers (including many celebrity friends of Arianna Huffington’s, the site’s co-founder) and links to news stories on other sites, showed the appeal of what Ms Huffington calls a "hybrid" approach that melds old and new, professional and amateur.

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