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1、1.a^2-b^2=(a+b)(a-b)asquaredminusbsquaredequalsopenparenthesisaplusbcloseparenthesistimesopenparenthesisaminusbcloseparenthesis2.x+1/x^2(x^3-4)^2/3Xplueoneoverthequantityxsquaredtimesthequantityxcubedminusfourtothetwo-thirdpower.3.lim1/n^2(1+2+……+n)Thelimitasnappr
2、oachesinfinityofthequantityoneovernsquaredtimesoneplustwoplustoplusn.4.1/2{a[b+(c-d)]}Onehalfopenbrace,aopenbracketbplusopenparenthesiscminusdcloseparenthesisclosebracketclosebrace.5.max(a1,a2,…..,an),min(a1,a2,…..an)Maximum/minimumvalueoftheseriesasubonetoasubn.6
3、.lim(1+1/n)^n=eLimitasnapproachesinfinityofthequantityofoneplusoneoverntothenthpowerequalse.7.limsquan,liminfanUpper/lowerlimitofasubnasnapproaches/tendstoinfinity.8.y’=-1/x^nYprimeequalsminusoneoverxtothenthpower.9.d^2y/dx^2=a^2e^-axThesecondderivativeofywithresp
4、ecttoxequalsasquaredtimesetothepowerofminusatimesx.10.a^-m/n=1/(a>0,m,n均为正整数)atotheminusmovernpowerequalsoneoverthenthrootofatothemthpower,whereaisgreaterthanzero,andbothmandnarepositivenumbers.11.f(x)=1+ln(x-2)Thefunctionofxequalsonepluslogthequantityxminus2tothe
5、basee.12.sin3x=3sinx-4sin^3xThesineofthreexisequivalenttothreetimessineofxminusfourtimesthequantitysinexcubed.句子翻译1．Solongasthebatterycontinuestoproducevoltageandthecontinuityoftheelectricalpathisn’tbroken,electronswillcontinuetoflowinthecircuit.（只要电池持续供电，并且导线没有断开
6、，电子将始终在回路中流动）2.Ifacondenserisconnectedtoabattery,theelectronswillflowoutofthenegativeterminalofthebatteryandaccumulateonthecondenserplateconnectedtothatside.thusthecondenserissaidtobecharged.当电容与电池相连，电子将从电池的负极流出，并聚集在电容与该端相联的极板上，称电容被充电。3.wheneverelectronsflowthroug
7、haconductor,amagneticfieldwilldeveloparoundthatconductor.只要电子束流过导体，就将在这个导体周围产生磁场。4.glass,forinstance,isaverygoodinsulatoratroomtemperature,butbecomesaconductorwhenheatedtoaveryhightemperature.（例如，玻璃在室温下是一个非常好的绝缘体，但当把它加热到相当高的温度时它就变成一个导体。）5.wheneveranelectricvoltage
8、existsbetweentwoseparatedconductors,anelectricfieldispresentwithinthespacebetweenthoseconductors.（只要在两个独立的导体间存在电压，则他们之间会产生一个电场。）6.whilethenormalmotionof
