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典型例題十(已修改)

2024-10-21 07:44 本頁(yè)面
 

【正文】 第一篇:典型例題十典型例題十1111163。++L+1. 2n+1n+22n111分析:要求一個(gè)n項(xiàng)分式的范圍,它的和又求不出來(lái),可以采用++L+n+1n+22n“化整為零”的方法,觀察每一項(xiàng)的范圍,再求整體的范圍.111證明:由2n179。n+kn(k=1,2,L,n),得163。. 2nn+kn111當(dāng)k=1時(shí),163。; 2nn+1n111當(dāng)k=2時(shí),163。 2nn+2n??111當(dāng)k=n時(shí),163。. 2nn+nn1n111n∴=163。++L+=1. 22nn+1n+22nn說(shuō)明:用放縮法證明不等式,放縮要適應(yīng),否則會(huì)走入困境.例如證明1117111.由,如果從第3項(xiàng)開(kāi)始放縮,正好可證明;如果從++L+22224k1k12nk第2項(xiàng)放縮,可得小于2.當(dāng)放縮方式不同,結(jié)果也在變化.放縮法一般包括:用縮小分母,擴(kuò)大分子,分式值增大;縮小分子,擴(kuò)大分母,分式值縮?。蝗坎簧儆诓糠?;每一次縮小其和變小,但需大于所求,第一次擴(kuò)大其和變大,但需小于所求,即不能放縮不夠或放縮過(guò)頭,同時(shí)放縮后便于求和.例10 設(shè)n是正整數(shù),求證第二篇:典型例題【典型例題】She had a great ___ for the town where she grew 【試題詳解】答案 A 她熱愛(ài)她長(zhǎng)大的那座小鎮(zhèn) have an affection for 對(duì)??有感情affectation infection ,感染 affectionate 【常用短語(yǔ)】have an affection for sbsth 【詞匯補(bǔ)充】affect affectionate 【典型例題】How to talk to Martin is rather an____ 【試題詳解】答案 D 如何讓與火星人交談是一個(gè)學(xué)術(shù)性很強(qiáng)的問(wèn)題。academic question 學(xué)術(shù)問(wèn)題。advanced 高級(jí)的accurate 準(zhǔn)確的 absolute 絕對(duì)的【詞匯補(bǔ)充】academicals 博士服,碩士服 academic year 學(xué)年 academician 院士 academy 私立中學(xué) academicism 墨守成規(guī)【典型例題】When you __ big , believe big , and pray big , big things happen! 【試題詳解】答案是A。句意:當(dāng)你確認(rèn)偉大,相信你偉大,起到偉大,偉大的事情就會(huì)發(fā)生!affirm肯定,斷言;know知道;agree同意;ensure保證,確保。【典型考題】The _____ of the past week had left her anxietiesB concernsC expectationsD anticipation 解析:由同意詞辨析可知此題答案選 A 意為過(guò)去一個(gè)星期的擔(dān)憂使她筋疲力盡?!镜湫涂碱}】: Now,let us e to item on the 解析:答案是C。句意:現(xiàn)在讓我們討論議事日程上的第五項(xiàng)。agenda待議諸事一覽表;program(行動(dòng))計(jì)劃;project工程,項(xiàng)目;plan計(jì)劃?!镜湫涂碱}】Age affects the range of a person’s ______ A capacities B capabilitiesC capacious D capable 解析:答案選B 此題考查易錯(cuò)詞辨析。句意為年齡影響一個(gè)人能力的大小。Capacity 表示容量容積明顯不符合題意。后兩個(gè)答案分別為他們的形容詞形式。【典型考題】He’s had no end of bad luck but he just seems to ______ every back to 解析:答案選A 句意:他總是遇到不如意的事,但是好像每次都能恢復(fù)過(guò)來(lái)。bounce back 指失意后恢復(fù)過(guò)來(lái)?!镜湫涂碱}】Everyone is encouraged to ____ food and clothing for the attributeB contributeC stimulateD distribute 解析:答案為B ,此題考查對(duì)形近詞的區(qū)分。句意:鼓勵(lì)每個(gè)人為難民捐助食品和衣物。contribute 表示“捐贈(zèng),出錢(qián)(力)”,因?yàn)楸绢}是鼓勵(lì)每個(gè)人,所以不可能是“分發(fā)”食品和衣物,只會(huì)是“捐贈(zèng)”【Derivative】contributor ,投稿者 ; contribution ,捐獻(xiàn)物contributive ,促成的 ;contributory ,捐助性的?!镜湫涂碱}】Everyone is encouraged to ____ food and clothing for the attributeB contributeC stimulateD distribute 解析:答案為B ,此題考查對(duì)形近詞的區(qū)分。句意:鼓勵(lì)每個(gè)人為難民捐助食品和衣物。contribute 表示“捐贈(zèng),出錢(qián)(力)”,因?yàn)楸绢}是鼓勵(lì)每個(gè)人,所以不可能是“分發(fā)”食品和衣物,只會(huì)是“捐贈(zèng)”Counsel/kkkkkkk/ noun, verb n Noun 1.(formal)advice, especially given by older people or experts。a peiece of advice(尤指老年人或?qū)<业?勸告,忠告,建議:Listen to the counsel of your a lawyer or group of lawyers representing sb in a court of law 律師:the counsel for the defence/ Verb 1 to listen to and give support or professional advice to sb who needs :Therapists were brought in to counsel the to advise sb to do sth 建議,勸告(做某事)Most experts cou
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