【正文】 (AB)sinA+sinB=2sin((A+B)/2)cos((AB)/2 cosA+cosB=2cos((A+B)/2)sin((AB)/2)tanA+tanB=sin(A+B)/cosAcosB tanAtanB=sin(AB)/cosAcosB cotA+cotBsin(A+B)/sinAsinBcotA+cotBsin(A+B)/sinAsinB 某些數(shù)列前n項(xiàng)和1+2+3+4+5+6+7+8+9+?+n=n(n+1)/2 1+3+5+7+9+11+13+15+?+(2n1)=n2 2+4+6+8+10+12+14+?+(2n)=n(n+1)1^2+2^2+3^2+4^2+5^2+6^2+7^2+8^2+?+n^2=n(n+1)(2n+1)/61^3+2^3+3^3+4^3+5^3+6^3+?n^3=(n(n+1)/2)^2 1*2+2*3+3*4+4*5+5*6+6*7+?+n(n+1)=n(n+1)(n+2)/3正弦定理 a/sinA=b/sinB=c/sinC=2R 注： 其中 R 表示三角形的外接圓半徑余弦定理 b2=a2+c22accosB 注：角B是邊a和邊c的夾角乘法與因式分 a2b2=(a+b)(ab)a3+b3=(a+b)(a2ab+b2)a3b3=(ab(a2+ab+b2)三角不等式 |a+b|≤|a|+|b| |ab|≤|a|+|b| |a|≤bb≤a≤b|ab|≥|a||b||a|≤a≤|a|正棱錐側(cè)面積 S=1/2c*h39。數(shù)學(xué)公式大全圓的標(biāo)準(zhǔn)方程(xa)2+(yb)2=r2 注：（a,b）是圓心坐標(biāo) 圓的一般方程 x2+y2+Dx+Ey+F=0 注：D2+E24F0（一）橢圓周長(zhǎng)計(jì)算公式橢圓周長(zhǎng)公式：L=2πb+4(ab)橢圓周長(zhǎng)定理：橢圓的周長(zhǎng)等于該橢圓短半軸長(zhǎng)為半徑的圓周長(zhǎng)（2πb）加上四倍的該橢圓長(zhǎng)半軸長(zhǎng)（a）與短半軸長(zhǎng)（b）的差。短短五天，我們加深了對(duì)知識(shí)領(lǐng)域的進(jìn)一步了解，短短五天，我們明白了自己的人生應(yīng)該怎么樣去繼續(xù)，短短五天，我們最大了做成功的人的方法和技巧，短短五天，我們敲碎了自己不切實(shí)際的玻璃夢(mèng)，短短五天。這一切安好！有感3 短短的五天，我們收獲了很多。感謝老師為我們這個(gè)活動(dòng)不停的安排，感謝學(xué)長(zhǎng)、學(xué)姐們每日的奔波操勞，感謝緣分讓我們交到來(lái)自各地的朋友，這些日子的歡笑我會(huì)銘記在心。而現(xiàn)在，上演分別的主角成了我們。我們作為高中的畢業(yè)生，剛剛經(jīng)歷了分離，一雙雙哭紅的雙眼猶如放電影般在腦海里放映，三年的時(shí)光很快，一晃就過(guò)，然而，這不甜的時(shí)光卻讓我感覺(jué)很漫長(zhǎng)，卻又在漫長(zhǎng)中到了盡頭，我們又一次面臨著分別。短短五天，看似簡(jiǎn)短，卻帶給了我們一生的財(cái)富，不管以后會(huì)怎么樣，至少現(xiàn)在，我們最大自己如何做，知道自己面對(duì)以后的困難與挫折時(shí)應(yīng)有的態(tài)度，看似短短的幾天的經(jīng)歷將會(huì)時(shí)刻提醒我正確地走過(guò)人生的道路。難以想象，若沒(méi)有這五天，我們所有的人還待在家里渾渾噩噩地混過(guò)，若沒(méi)有這五天，我們哪里知道如此深刻有真誠(chéng)的講解，若沒(méi)有這五天，我們還在毫無(wú)知覺(jué)地?fù)]霍人生，若沒(méi)有這五天，我們將邁入自己毫不知曉的曲折彎路。無(wú)數(shù)的點(diǎn)點(diǎn)滴滴匯成了浩瀚的海洋，奔騰不息是我們搜有成員的藝術(shù)激情，是我們所有人內(nèi)心深處的堅(jiān)毅與感動(dòng)?；窝坶g，五天的夏令營(yíng)活動(dòng)真的讓我們收獲良多，且不說(shuō)該次夏令營(yíng)邀請(qǐng)諸多藝術(shù)大師的深切講解影響之深，單是參觀“中國(guó)美術(shù)館”“798藝術(shù)殿堂，參加電視節(jié)目錄制等就足夠以他那獨(dú)特的藝術(shù)魅力，價(jià)值和實(shí)踐經(jīng)驗(yàn)令我們受益匪淺。今后我會(huì)努力成為一名符合武漢大學(xué)要求的學(xué)生，即使我這次考試沒(méi)有成功，我還會(huì)在之后的高考中努力拼搏，爭(zhēng)取成為武漢大學(xué)的一員。在平時(shí)的學(xué)習(xí)生活中，我和同學(xué)們相處融洽，在高中三年里結(jié)識(shí)了許多有益的伙伴。我沒(méi)什么特別的才藝，但是武漢大學(xué)依然給了我參加這次自主招生考試的機(jī)會(huì)，我非常地激動(dòng)。時(shí)光會(huì)證明，我當(dāng)無(wú)愧于“浙大人”的稱號(hào)。我的大學(xué)階段就是這一生追求的第一個(gè)堅(jiān)實(shí)腳步。我崇敬的人中有孔子、歐幾里德、牛頓、歐拉、貝多芬、愛(ài)因斯坦等人類文明史中的大家巨擘。我會(huì)積極參加校內(nèi)校外的活動(dòng)，包括各種社團(tuán)活動(dòng)和學(xué)科競(jìng)賽，尤其希望能夠參與到ACM國(guó)際大學(xué)生程序設(shè)計(jì)競(jìng)賽（ACM/ICPC）活動(dòng)中去。我會(huì)以此為新的起點(diǎn)，繼續(xù)努力學(xué)習(xí)，做到博學(xué)廣聞，既在本專業(yè)的課程中深入鉆研，也進(jìn)行廣博的通識(shí)學(xué)習(xí)，把自己培養(yǎng)成跨學(xué)科的知識(shí)復(fù)合型人才。浙大是我的理想，我的夢(mèng)。后來(lái)，我閱讀了《史記》《大學(xué)》《論語(yǔ)》等經(jīng)典古文作品，又被其中仁、智、禮、義、信的民族精神所感染，便愛(ài)上了以文言典籍為核心的中國(guó)傳統(tǒng)文化。我對(duì)中國(guó)傳統(tǒng)文化發(fā)生興趣，始于高中語(yǔ)文課上對(duì)文言文較為系統(tǒng)的學(xué)習(xí)。失敗未使我氣餒，榮譽(yù)亦未使我止步，一次次競(jìng)賽的磨練讓我越發(fā)沉穩(wěn)和成熟。可是，在聯(lián)賽中，由于不起眼的小錯(cuò)誤，我只獲得了全國(guó)二等獎(jiǎng)。2006年7月，出于本能般的熱愛(ài)，即將升入高二的我開(kāi)始學(xué)習(xí)信息學(xué)奧賽。在自我陳述中，我將從幾個(gè)方面闡述我的學(xué)習(xí)情況。I have lots of interest, such as singing, dancing, drawing and so ，如唱歌、跳舞、畫畫等。我樂(lè)意回答你們所提出來(lái)的任何問(wèn)題。t think of anything else right nowMy name is am graduate from ________ senior high school and major in are ________ people in my father works in a puter my mother is a am the youngest one in my my spare time, I like to read think reading could enlarge my for novels, I could imagine whatever I like such as a wellknown scientist or a kungfu addition to reading, I also like to play PC lot of grownups think playing PC games hinders the students from I think PC games could motivate me to learn something such as English or favorite course is English because I think it is interesting to say one thing via different wish my English could be improved in the next four years and be able to speak fluent English in the :My name are 4 people in my father is a Chemistry teaches chemistry in senior high mother is an English teaches English in the have a younger brother, he is a junior high school student and is preparing for the entrance like to read English story books in my free I surf the Internet and download the Ebooks to Ebooks is addition, it also enlarges my vocabulary words because of the advanced technology and the vivid hope to study both English and puter technology because I am interested in both of the one day I could bine both of them and apply to my research in the 、Good morning/afternoon/evening, my name is really a great honor to have this opportunity/chance to introduce would like to answer whatever you may raise, and I hope I can make a good performance ！我的名字叫……。s about as much as I think that39。t know much about...Would you like me to tell you more about...?Well, I think there are 2(or 3 or more)reasons: First,...Second,...Finally,...In my opinion there are three ways of looking at it: First of all,...Next,...Then,...Have I given you enough information?回答完畢后可用的結(jié)語(yǔ)：I39。m not exactly sure what you mean...I39。m not exactly sure how to answer that question, but(perhaps)...Maybe I can answer your question by telling you about a personal experience I 39。如果是回答考官的問(wèn)題，與考官對(duì)話，建議考生熟悉一些“緩沖句”，為自己爭(zhēng)取多一點(diǎn)思考時(shí)間，建議用句：That39。Speech——思路：When，What，The influence on you。其他例子：Traffic jam——思路：When，Where，Your feeling。一位考生這樣表達(dá)：Honestly I haven’t thought about this one and only great change I can think of now is leaving , after going to school for more than 16 years, all of my life has been so used to school, my daily schedule, my mindset, my social life, world outside the school seems so familiar and yet so feelings are mixed with ambition, hope, expectation, as well as uneasiness, insecurity and is such a difficult am like a person lost in the noman’s land, not knowing where to , most people have to face this change once they leave is a total just as one great mind has once said, “l(fā)ife is always full of changes and uncertainties。我們以即興發(fā)揮這一面試題型為例，拿到話題：Change，這時(shí)你即刻要做的是從大腦一團(tuán)亂麻狀態(tài)中理出幾條清晰地線索來(lái)。考生首先要做到的是觀點(diǎn)鮮明，贊成什么，反對(duì)什么，一定要表達(dá)清楚；其次，考生一定要言之成理?！?這些題目都沒(méi)有標(biāo)準(zhǔn)答案，考生無(wú)從準(zhǔn)備，也無(wú)需準(zhǔn)備，不論持何觀點(diǎn)，都有話可說(shuō)?！澳愠绨菔裁礃拥娜?？你瞧不起什么樣的人？什么人和你有共同價(jià)值觀？請(qǐng)討論有錢是否意味著成功。在自主招生考試面試時(shí)，常常要求考生就某一話題（topic）展開(kāi)論述，這就要求考生平時(shí)不但要學(xué)會(huì)用英語(yǔ)思考，更要學(xué)會(huì)用英語(yǔ)來(lái)表達(dá)自己的見(jiàn)解。建議考生不妨訂閱一份適合自己英語(yǔ)水平的英語(yǔ)類學(xué)習(xí)報(bào)紙或關(guān)注相關(guān)網(wǎng)站，如《二十一世紀(jì)學(xué)生英文報(bào)》、。s difficult to study I like believe that if you try your best, everything can be done 、建議考生平時(shí)一定要關(guān)注時(shí)政，留心社會(huì)熱點(diǎn)問(wèn)題，學(xué)會(huì)用“think in English”。I’m a late bloomer / 。在介紹家庭時(shí)，要避免流水賬形式，可以適當(dāng)把家庭介紹與性格、愛(ài)好介紹結(jié)合在一起，介紹父母給了自己哪些方面良好的影響。I’m keen on 。I’m a music ?；蛘?，可以先說(shuō)自己是某一類型的人，再詳述特征，如：我是一個(gè)典型的北方人（南方人）：I’m a typical northerner/southerner。其實(shí)，通過(guò)平時(shí)的積累，我們知道開(kāi)頭的方法各式各樣，除了問(wèn)候和姓名外，還可借此表示自己對(duì)此次機(jī)會(huì)的珍惜，對(duì)考官的尊重等，如：It is really a great honor to have this opportunity/chance to introdu