6．设S n 为等差数列{a n }的前n 项和，若a 4＝1，S 5＝10，则当S n 取得最大值时，n 的值为
________．
7．设等差数列{a n }满足a 3＝5，a 10＝－9.
(1)求{a n }的通项公式；
(2)求{a n }的前n 项和S n 及使得S n 最大的序号n 的值．
二、能力提升
8．若数列{a n }是等差数列，首项a 1＞0，a 2 003＋a 2 004＞0，a 2 003·a 2 004＜0，则使前n 项和S n
＞0成立的最大自然数n 是________．
9．数列{a n }中，a 1＝8，a 4＝2，且满足a n ＋2－2a n ＋1＋a n ＝0 (n ∈N *)．
(1)求数列{a n }的通项公式；
(2)设S n ＝|a 1|＋|a 2|＋…＋|a n |，求S n .
10．设等差数列{a n}的前n项和为S n，已知a3＝12，且S12>0，S13<0.
(1)求公差d的取值范围；
(2)问前几项的和最大，并说明理由．
答案
1．2n －2 2.152 3.1 4.310
5.8 6．4或5 7．解 (1)由a n ＝a 1＋(n －1)d 及a 3＝5，a 10＝－9得
????? a 1＋2d ＝5，a 1＋9d ＝－9，可解得?????
a 1＝9，d ＝－2， 所以数列{a n }的通项公式为a n ＝11－2n .
(2)由(1)知，
S n ＝na 1＋n (n －1)2
d ＝10n －n 2. 因为S n ＝－(n －5)2＋25，
所以当n ＝5时，S n 取得最大值．
8．4 006
9．解 (1)∵a n ＋2－2a n ＋1＋a n ＝0.∴a n ＋2－a n ＋1＝a n ＋1－a n ＝…＝a 2－a 1.
∴{a n }是等差数列且a 1＝8，a 4＝2，∴d ＝－2，a n ＝a 1＋(n －1)d ＝10－2n .
(2)∵a n ＝10－2n ，令a n ＝0，得n ＝5.
当n >5时，a n <0；当n ＝5时，a n ＝0；
当n <5时，a n >0.
∴当n >5时，S n ＝|a 1|＋|a 2|＋…＋|a n |
＝a 1＋a 2＋…＋a 5－(a 6＋a 7＋…＋a n )＝S 5－(S n －S 5)＝2S 5－S n ＝2·(9×5－25)－9n ＋n 2＝n 2－9n ＋40，
当n ≤5时，S n ＝|a 1|＋|a 2|＋…＋|a n |＝a 1＋a 2＋…＋a n ＝9n －n 2.
∴S n ＝?????
9n －n 2 (n ≤5)n 2－9n ＋40 (n >5). 10．解 (1)根据题意，得
???
12a 1＋12×112d >0，13a 1＋13×122d <0，a 1＋2d ＝12，整理得：????? 2a 1＋11d >0，a 1＋6d <0，a 1＋2d ＝12.解得：－247
a 2>a 3>…>a 12>a 13>…，
而S 13＝13(a 1＋a 13)2
＝13a 7<0，∴a 7<0. 又S 12＝12(a 1＋a 12)2
＝6(a 1＋a 12)＝6(a 6＋a 7)>0，∴a 6>0. ∴数列{a n }的前6项和S 6最大．
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七选五专项训练 A How to Make Friends Friendship is a very important human relationship and everyon e needs good friends. Good friendship has many benefits. It offers companionship, improves self-worth and promotes good health. There are times in our lives such as when we have recently moved into a new town, or changed our jobs or s chools. Such changes often leave us without a friend. 1 But for many of us the process is difficult and r equires courage. Below are some helpful suggestions on how t o make and keep friends. Associate with others. The first step to making friends is associating with other people. You can go to public places to meet new people. Be sides, you will need to make yourself known by becoming an active member of such places. Start a conversation. Starting a conversation is the second most important step in making new friends. 12 You can always start the conversation. Being abl e to make small talk is a very useful skill in relating w ith other people. __3___ Choosing friends with common interests is important in buildi ng friendship as these interests would always bring you and your friend together. Hanging out will always be a pleasan
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高一语文周练四 1．下列加点的字注音完全正确的一组是（） A．徘徊．（huí）踌躇．（chú）长歌当．哭（dāng） B．寥．落（liáo）桀骜．（ào）殒．身不恤（sǔn） C．菲薄．（bó）赁．屋（lìn）洗涤．（tiáo） D．浸渍．（zì）喋血（dié）语言犀．利（xī） 2．下列各句中，加点的词语使用恰当的一句是（） A．日本政府一意孤行地推进所谓钓鱼岛“国有化”后，钓鱼岛局势箭．在弦上 ．．．，高度复杂敏感，各方对此深表关切和忧虑。 B．2月28日，中国外长杨洁篪在会见日本外相时就钓鱼岛主权问题全面阐述了中方的严正立 场，要求日方谨言慎行 ．．．．，避免事态扩大化。 C．台独分子不断散布台独言论，干着分裂祖国的勾当，这些危言危行 ．．．．总有一关会成为套在他们脖子上的绞索。 D．个别领导干部利用职务之便，玩忽职守，以权谋私，这无异于火中取栗 ．．．．，不但烫手，且玩火者必自焚。 3、下列语句中，没有语病的一项是() A．“微博”这种网络社交工具的广泛使用，加快了信息流通的速度和质量，促进了中国公民社会的发展。 B．企业改革的号角已经吹响，面对这样一个重要的战略机遇，我们比以往任何时候更加需要创业的勇气和创新的锐气。 C．今年住房供求关系平衡，国家政策相对稳定，同时受到广州、深圳等外地房价下降，济南的二手房价不会大涨。 D．教育部日前发出通知，对不符合卫生要求的学校食堂要及时进行整改，坚决杜绝食物中毒事件不发生。 4．依次填入下面文段中横线处的语句，衔接最恰当的一组是（） 在对待自然的态度上，现在大概不会有人公开赞成掠夺性的强盗行径了，。生态不仅是科学问题，而且是伦理问题，正是伦理为科学规定了界限。 ①但是，同为主张善待自然，出发点仍有很大分歧 ②我的看法是，两派都有道理，但说的是不同层次上的道理，而低层次的道理要服从高层次的道理 ③一派反对人类中心论，认为从根本上说，自然是一个应该敬畏的对象 ④一派强调以人类为中心，从人类长远利益出发，合理利用自然 ⑤合理利用自然是科学，不管合理的程度多么高，仍然是科学，而科学必有其界限 A．①③④⑤② B．①④③②⑤ C．⑤①③④② D．⑤①④③②
2018届高考英语二轮复习 阅读七选五专练(一)
阅读七选五专练(一) A (2017·安徽百所重点高中二模) All of us know that a balanced diet strengthens the immune system. __1__. The following strategies will help you to jumpstart healthy eating habits. Morning must-haves Researchers at Harvard Medical School discovered that people who took daily breakfast were a third less likely to become obese (肥胖的) than those who skipped this meal. To enjoy the most benefits, the researchers recommended eating whole-grain foods for breakfast as they are rich in fiber. __2__. Main meal wisdom If you need to consume meat, choose fish instead of red meat. Studies have linked high consumption of red meat with cancers such as breast and colorectal cancer as well as heart disease mainly because red meat is very high in saturated (饱和的) fats. __3__. Food preparation __4__. As such, cooking methods such as steaming, baking, grilling, boiling or stir-frying are advised. __5__ Some people like to eat a large meal after a hard day's work. However, large meals late at night can cause indigestion that influences sleep. So it is a very good idea to have a low-calorie fiber drink just before leaving the office. It is also not a good idea to regularly have a late-night meal as this could overburden the digestive system. Remember, minor changes in our eating habits can lead to major changes in our health. A．Light nights B．Fewer night snacks C．Fish, in contrast, contains more heart-healthy fats D．Drinking bean milk supplies the body with plant protein E．Experts always suggest preparing food with as little oil as possible F．But most of us fail to obtain adequate nutrients (营养) due to our troubled lifestyles
高中语文小题天天练一
[人人都是自己命运的建筑师]；[你的未来扎根于你此时的行动]；[只有拼出来的美丽，没有等出来的辉煌]。 词语的使用 15．下列各句中，划线的成语使用恰当的一句是 A．为纪念中国话剧百年诞辰，话剧界一些前辈粉墨登场，重新排演了《雷雨》等经典剧目。 B．风格鲜明、体系完整、精细雅致的徽州文化，在洋洋洒洒的中华地方文化中独树一帜。 C．在野外发现化石固然重要，而要把它完美无缺地取出并加以研究，就显得更为重要了。 D．集电话、电脑、相机、信用卡等功能于一体，手机在生活中的作用被发挥得酣畅淋漓。 16．下列各句中，划线的成语使用不恰当的一句是：（） A．这些战士虽然远离家乡，远离繁华，每天过着艰苦单调的生活，但是他们一个个甘之若饴，毫无怨言。 B．近年来，新闻学专业越来越热，许多学生也跟着蠢蠢欲动，纷纷选学这一专业，希望将来能做一名新闻工作者。 C．故乡变化真大，高楼拔地起，小路变通街，不毛的小山被夷为平地，建成了现代化的开发区，真是沧海桑田啊！ D．我国的智力残疾人已有1000万，其中相当一部分是因缺碘造成的，所以坚持食用含碘盐并不是一件无足轻重的小事。 17．下列各句中，划线的成语使用恰当的一句是（3分） A.司机张师傅冒着生命危险解救乘客的事迹，一经新闻媒体报道，就被传得满城风雨，感动了无数市民。 B.近年来，在种种灾害面前，各级政府防患未然，及时启动应急预案，力争把人民的声明财产损失降到最低限度。 C.这些“环保老人”利用晨练的机会，但游客丢弃在景点的垃圾信手拈来
，集中带到山下，分类处理。 D.“生命的价值在于厚度而不在于长度，在于奉献而不在于获取……院士的一番话入木三分，让我们深受教育。 18．下列各句中，划线的成语使用正确的一项是（3分） A.这位油画家的高原风貌主题油画虽然很受欢迎，但是他不轻易创作，因此， 他挂在画廊墙上待价而沽 ．．．．的作品并不多。 B.他儿子正值豆蔻年华 ．．．．，理应专注于科学文化知识的学习，没想到却整天沉迷于网络游戏，现在连初中都读不下去了。 C.奶奶去世已经十年了，但她生前对我的疼爱之情我却一直铭记于心，耿耿 ．． 于怀 ．．，这份情和爱我任何时候都不会忘记。 D.近期的一场大火使我们损失惨重，连回家的路费都没有了，恳请各位高抬 ．． 贵手 ．．，接济我们一点，以便我们度过难关。 19．下列各句中，划线的成语使用恰当的一项是 A．想当初，慈禧太后的陵寝造得多么坚固，曾几何时 ．．．．，还是禁不住军阀孙殿英的火药爆破，落了个一片狼藉。 B．导演冯小刚把《集结号》中最重要的角色给了谷志鑫，其他演员几乎成 了举重若轻 ．．．．的人物。 C．上届冠军挪威队以全胜战绩出线，表现十分出色，其卫冕雄心及雄厚实 力令人刮目相看 ．．．．。 D．露卡在美国算是穷人，经常得到政府机构的接济和帮助，但她并不总是 拾人牙慧 ．．．．，而是主动为社会做些好事。 20．下列句子中，划线的成语使用不恰当的一项是 A .在积极应对自然灾害的同时，人们强烈感受到吸取经验教训的重要性， 希望在未来的日子里能防患于未然 ．．．．．。 B .军事专家认为极超音速导弹是反恐战争中非常有价值的“猎杀者”，一旦 锁定目标，恐怖分子就无地自容 ．．．．了。 C. 设计人员必须严格执行上级部门的有关决议，“创意”只能在规定范围以 内驰骋，不能信．马由缰 ．．．，这是设计人员起码的职业操守。 D. 双方无论研究方法多么不同，只要根本目标不相悖，就总有殊途同归 ．．．．的
高中英语七选五专练附标准答案.doc
The Value of Tears（ 36-40. D E C A G ） Tears can ruin make-up， bring conversation to a stop ， and give you a runny nose. They can leave you embarrassed and without energy. However ，crying is a fact of life ，and tears are very useful. Even when you’，retheynotmakecryinga film over the eye’ s When tears fall ，they reduce stress. But we tend to fight them for all sorts of reasons.“ People worry emotions ， afraid that once they lose control they’ ll never 37get it backAfter. we cry，”the__feelings that caused the tears often disappear. Sometimes people become much stressed and can’ t cry. Whatever emotion they are feelingshock，anger，fear—，or sadness is being held back. But everyone has the need to cry. Psychologist Vera Diamond explains that her treatment often consists of giving people permission to Patients practice crying just to become used to express emotions. She suggests safe ，private places to cry ， like under the bedcovers or in the car. Crying is a way of ease tension ，but people don t like’ it when others cry because it makes them they ’ ll do just about anything to make you stop. In certain situations ， such as at work ，tears are not appropriate. It’ s good not to cry during a tenseYoubusinessshould also act out the whole situation aga in and be as noisy and angry as you like. It will help you feel better.，”she adds， “ once your tears have taken away the stress， you can begin to think calmly of ways to deal with the problem.”Tears are a sign of our ability to feel. If you find yourself near someone crying，deal with it. And never be afraid to cry yourself. A． They too may be holding back a need to cry. B． They cry for different reasons. C． She gives crying exercises. D． It contains a chemical against infection( 炎症 )． E． The fact is no emotion lasts forever. F． It forms in response to the stress on the surface of the eye. G．But once you’ re safely behind closed doors，don’ t just cry. B 36-40 DGAFBC __36_. You don ’ t show your secret personality when you are awake because you can control your behavior, but when you are asleep, your sleeping position shows the real you. __37__. The important position is the one that you go to sleep in. If you go to sleep on your back, you’ re a very open person. You normally trust people and you are easilyed byinfluenc fashion or new ideas. You don’ t like to displease people. So you never express your real feelings38.. _ If you sleep on your stomach, you are a rather secretive person. You worry a lot and you’ re alway always stick to your own o pinions or judgment, but you aren’ t very ambitious39.This. means that you enjoy having a good time. If you sleep curled up, you are probably a very nervous person. You have a low opinion of yourself and so you delusive( 不真实的，虚假的).You ’ re shy and you don’ t normally like meeting people. You prefer to on your own, You easily hurt. If you sleep on your side, you have usually got a well- balanced personality.’ re usually careful. You believe in yourself. You sometimes feel anxious, but you don often get’sadt. You always say what you think even if it makes people rather angry. A. You ’ re quite shy and you aren’ t quite sure of yourself B. You know your strengths and weaknesses C. Normally people seldom change their sleeping position D. Everyone has got two personalities —the one that is shown to the world and the other that is secret and real E. Maybe you don’ t want to make friends with a person who sleeps curled up F. You usually live for today not tomorrow G. In a normal night, of course, people frequently change their positions C Start Small, Think Big 36-40FDBGC
高一(下)语文周练(一)
高一（下）语文周练（一） 一、阅读下面的文言文，完成问题 昌为人强力，敢直言，自萧、曹等皆卑下之。昌尝燕时入奏事，高帝方拥戚姬，昌还走。高帝逐得，骑昌项，上问曰：“我何如主也？”昌仰曰：“陛下即桀、纣之主也。”于是上笑之，然尤惮昌。及高帝欲废太子，而立戚姬子如意为太子， 大臣固争莫能得。上以留侯策即止。而昌庭争之强，上问其说，昌为人吃，又盛怒，曰：“臣口不能言，然臣＂期期＂知其不可。陛下虽欲废太子，臣＂期期＂ 不奉诏。”上欣然而笑，既罢。《汉书、周昌传》） １、下列词语解释正确的一项（） Ａ、敢直言直：公正，正直 Ｂ、昌尝燕时入奏事燕：通“宴”，安闲，指帝王闲暇 Ｃ、然尤惮昌惮：宽容 Ｄ、昌为人吃吃：很能吃饭 ２、下列词语解释不正确的一项（） Ａ、自萧、曹等皆卑下之卑下：蔑视，轻视 Ｂ、昌还走还走：掉头就跑 Ｃ、而昌庭争之强庭争：在朝堂上争论 Ｄ、臣＂期期＂不奉诏期期：形容说话结巴 ３、下列句中“而”的意义和用法不同于其他三项的一项（） Ａ、而昌庭争之强 Ｂ、上欣然而笑 Ｃ、位尊而无功 Ｄ、渔工水师，虽知而不能言 ４、翻译下列句子 （１）高帝逐得，骑昌项，上问曰：“我何如主也？”昌仰曰：“陛下即桀、纣之主也。” （２）及高帝欲废太子，而立戚姬子如意为太子，大臣固争莫能得。上以留 侯策即止 二、阅读宋代王质的《山行即事》，然后回答问题 山行即事（宋）王质 浮云在空碧，来往议阴晴。荷雨洒衣湿,蘋风吹袖清。 鹊声喧日出，鸥性狎波平。山色不言语,唤醒三日酲。
注:①蘋：一种水草。②酲：Chéng,酒后神志不清有如患病的感觉,诗中指精神不振的样子。 1、诗的首联运用了什么修辞手法? 2、颈联所描写的景物有什么特点?全诗表现了诗人怎样的心情？ 三、《红楼梦》49-54回练习 （一）填空题 1、在五十二回中，贾母得了两件上好的哦啰斯氅衣，分别给了 和。 2、腊月己至，离过年越来越近了。荣宁两府也算是很热闹的。忙着祭祀的事情，则进宫领取了春祭的恩赏。父子俩又忙着收验乌 进孝缴来的钱粮及各种杂物。 3、在除夕夜，带领贾府众家眷到宗祠祭祀。 4、众人正看香菱梦中所得诗句，听丫头们说来了一帮亲戚。原来是邢夫人的兄 嫂及女儿，李纨的寡婶并两个妹妹李纹、李琦，宝钗叔伯的一双儿女与宝琴。贾母尤其喜爱，逼着太太认她做干女儿。 （二）选择题 1.下列各项中对作品故事情节的表述，不正确的两项是（） A.宝玉文黛玉“是几时孟光接了梁鸿案”，黛玉笑道：“谁知他竟真是个好人，我素日只当他藏奸。”黛玉于是把始末告诉宝玉，宝玉方知缘故，因笑道：“我说呢，正纳闷‘是几时孟光接了梁鸿案’，原来是从‘小孩儿口没遮拦’就接了 案了。”“小孩儿口没遮拦”这件事指的是前儿在宴会上行酒令时失于检点随口说 出《西厢记》《牡丹亭》中的句子，后宝钗真诚劝告，解了黛玉的疑癖。 B.凤姐以“一夜北风紧”句开了个好头。大家争先恐后，大展其才。尤其是 湘云、黛玉、宝琴三个，更是你争我抢，毫不相让。评判结果，自然又是宝玉落第，李纨于是罚他到栊翠庵向妙玉求一枝红梅来。宝玉果然不负众望，取来一大枝梅花。于是邢岫烟、李纹、宝琴、宝玉各作了一首“咏红梅花”。 C.年节将至，黑山村的庄头乌进孝到荣国府上租。一张单子里还可以找到海参、大对虾、干虾这些东西。这说明贾府的田庄延绵百千里，都达到了海边的渔 村了，可贾珍还不高兴：“如今你们一共只剩下八九个庄子，今年倒有两处报了 旱涝，你们又打擂台，真真是又教别过年了。”这说明原来贾府在那里的庄园比现在还要多，此外，这么多东西和往年比起来算是少的。 D.贾母尤其喜爱宝琴，大家都以为这会引起黛玉的醋意。谁知林黛玉对待宝琴，直是亲姊妹一般。那宝琴年轻心热，且本性聪敏，自幼读书识字，今在贾府
