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一、Number數字106

:onemillion109:onebillion(oronethousandmillion)1012:onetrillion(oronemillionmillion)1015

:onequadrillion(oronethousandmillionmillion)1018

:onequintillion(oronemillionmillionmillion)123,456,789:onehundredandtwentythreemillion,fourhundredandfifty-sixthousand,sevenhundredandeighty-nine12,345,678,900,000:twelvetrillion,threehundredandfortyfivebillion,sixhundredandseventy-eightmillion,ninehundredthousand-18:minuseighteen二、Fractions分數通常將分子讀為基數,將分母讀為序數。1/2:a(orone)half1/3:a(orone)third1/4:aquarteroronefourth1/5:a(orone)fifth2/3:twothirds,twooverthree,ortwobythree9/10:ninetenths,nineoverten,orninebyten53/4:fiveandthreequarters15/64:fifteenover(orby)sixty-four15%:fifteenpercent4‰:fourpermill(ormil)三、Decimals小數0.4:zero(ornaught)pointfour.01:point(ordecimal)naught(oroh)one12.34:twelvepointthreefour567.809:fivehundredandsixty-sevenpointeightnaught(oroh)nine30.45:thirtypointfourfive,0.3333333…..:pointthreerepeating(orrecurring)0.3%:point(ordecimal)threepercent四、MathematicForms數學式(4-1)

Addition加法1+2=3:Oneandtwoarethree.2+3=5:Twoplusthreeequalsfive.4+0=4:Fourandnaughtisequaltofour.45+70+152=267:45,70and152addedare(ormake)267thesum(ortotal)is267.(4-2)

Subtraction減法9-4=5:Nineminusfourequals(orisequalto)five.15-7=8:Sevenfromfifteenleaveseight.23,654-8,175=15,479:8,175(takeorsubtracted)from23,654leaves15,479.Thedifference(orTheremainder)is15,479.(4-3)

Multiplication乘法1×0=0:Onemultipliedbynaughtequalsnaught.1×1=1:Onceoneisone.2×1=2:Twiceoneistwo.3×5=15:Threetimesfiveisfifteen6×0=0:Multiplysixbynothing,andtheresultisnothing.(4-4)

Division除法9÷3=3:Ninedividedbythreemakes(orisequalto)three.20÷5=4:Fiveintotwentygoesfourtimes.4567÷23=198餘13:23into4567goes198times,and13remainder.Thequotientis198,and13remainder.五、Power冪次方��

當中,

b

被稱為底數(base),n

被稱為指數(powerorexponent)��

:the

nthpowerof

b

b

tothe

nthpower.�⋅107

a

timestheseventhpoweroften.b

的平方:

b

squareor

b

squaredb

的立方:

b

cubeor

b

cubedb

的4次方:

b

tothefourthb

的-1次方:

b

totheminusone六、Time時間(6-1)

Hours鐘點2h.5'8":twohoursfiveminuteseightseconds2小時5分8秒6.18:sixeighteen6時18分8.30a.m.:eightthirtya.m.上午8時30分the6.05p.m.train:thesix(naught)fivep.m.train下午6時零5分列車又二十四小時混合制的寫法和讀法如下:0900:0ninehundred(上午)9時0910:0nineten(上午)9時10分1300:thirteenhundred13時(下午1時)1525:fifteentwenty-five15時25分(下午3時25分)2000:twentyhundred20時(下午8時)at5o'clock:atfiveo'clock五點鐘(6-2)

Date日期Oct.1:Octoberfirst10月1日Oct.1st:Octoberthefirst10月1日1stOct.1949:thefirstofOctober,nineteenforty-nine1949年10月1日3/5:[英]May(the)third5月3日;[美]Marchfifth3月5日684B.C.:Sixeighty-fourB.C.西元前684年106A.D:oneohsixA.D.西元106年1960:nineteensixty;nineteenhundredandsixty19-:nineteensomething1950's:nineteenfifties二十世紀五十年代60's:sixties本世紀60年代1770年代初期:intheearly1770's20世紀末:inthelate20thcentury11世紀中葉:inthemid11thcentury七、PhoneandRoomNumbers電話及房間號碼2303-9047:twothreezero(oroh)three,ninezero(oroh)fourseven3366-3662:threethreesixsix,threesixsixtwo或doublethreedoublesix,threedoublesixtworoom137:roomonethreeseven車牌號碼,身分證號碼,以及各種編號的讀法皆類似八、其他���(�)

:thelogarithmof

x����(�)

:thelogarithmof

x

tothebase

b5:3:fivetothreeA隊領先2分:TeamAisleading(orahead)bytwo.B隊落後2分:TeamBistrailing(ordown)bytwo.45度角:forty-fivedegreeangle二元一次方程式:linear(orsimple)equationwithtwounknowns一元二次方程式:quadraticequationwithoneunknownVol.I:Volumeone(orthefirstvolume)(chapter,page,line的讀法類似)Matt.7:12:Matthew,ChapterSeven,VerseTwelve《馬可福音》第七章第12節HamletIII1:56:HamletActThree,SceneOne,Linefifty-six《哈姆雷特》第3幕第一場第56行時頻分析第123頁第四行:Time-FrequencyAnalysis,page123,line4HenryV:HenrytheFifth亨利五世$4.25:fourdollarstwenty-fivecents四元二十五分(大小單位之間不必加and)15ft.5in:fifteenfootfive(inches)十五英尺五英寸20gal.5qt.:Twentygallonsfivequarts二十加侖五夸脫10×8feet:tenbyeightfeet十英尺長,八英尺寬5"×4×21/2:fiveinchesbyfourbytwoandahalf長五英寸,寬四英寸,高二英寸半九、符號的英文讀法(9-1)

PunctuationMarks

標點符號中文英文中文英文§分節號section;

division-破折號dash。句號period/斜線virgule;

slash,逗號comma\反斜線backslash:冒號colon~波浪號tilde

(orswungdash);分號semicolon...省略號ellipsis!驚嘆號exclamation(​圓括號parentheses@at''單引號single

quotationmarks'所有格號apostrophe“”雙引號double

quotationmarks?問號question

mark《》法文引號或書名號French

quotes.點dot[​方括號(square)

brackets*星號asterisk

(orstar){​大括號braces→箭號arrow‖雙線號parallel(9-2)

MathematicalSymbols(I)數學符號(一)中文英文中文英文=等號is

equalto≯不大於is

notmorethan≠不等號is

notequalto%百分之per

cent(orpercent)≈約等於is

approximatelyequalto‰千分之per

mill(ormil)<小於is

lessthan≡全等號is

equivalentto>大於is

morethan≌約等於is

approximatelyequalto≤小於等於is

lessthanorequalto;

isnomorethan∝與…成比例varies

as≥大於等於is

morethanorequalto;

isnolessthan∞無限大infinity≮不小於is

notlessthan&以及and

(orampersand)(9-3)

MathematicalSymbols(II)數學符號(二)中文英文中文英文+加號

正號plus√平方根(square)

root-減號

負號minus∫積分integral

of×乘號is

multipliedby∑總和summation

of¸除號is

dividedby°度degree±正負號plus

orminus′分minute∵因為since;

because″秒second∴所以hence℃攝氏centigrade∠角angle°F華氏(degree)Fahrenheit⌒半圓semicirclen!n階乘the

factorialofn⊙圓circle^hat○圓周circumference|a|a的絕對值the

absolutevalueofaπ圓周率pilog​對數(common)

logarithm△三角形triangleln​自然對數natural

logarithm⊥垂直is

perpendiculartosin正弦sine∪合集union

ofcos餘弦cosine∩交集intersection

oftan正切tangent#數字numbercot餘切cotangent$美元dollarsec正割secantf(a)a的函式the

functionofacsc餘割cosecant十、數學常用字

CommonWordsinMathematics(10-1)

Science科學公理axiom推論corollary定理theorem反例counterexample定律law;

principle演繹deduct

(v);deduction(n)證明prove;

verify歸納induct

(v);induction(n)假設;假說hypothesis;

hypotheses(pl.)經驗式的heuristic命題proposition演算法algorithm(10-2)

Numbers數數number十進位decimal

system數字digit二進位binary

system自然數natural

number十六進位hexadecimal

system整數integer有理數rational

number小數decimal;

decimalfraction;decimal

figure無理數irrational

number小數點decimal

point實數real

number循環小數recurring

decimal;periodicdecimal;repeatingdecimal虛數imaginary

number無盡小數infinite

decimal複數complex

number正positive有效數字significant

digit負negative無效數字insignificant

digit零null,

zero,naught,nil因數factor無窮大infinite(a.)

infinity(n.)公因數common

factor無窮小infinitesimal倍數multiple分數fraction公倍數common

multiple分子numerator質數prime

number分母denominator因式分解factorization(n);factorize(v)倒數reciprocal;inverse近似值approximatevalue(10-3)

Operations(I)運算(一)加plus(prep.);

add(v.);addition(n.)被乘數multiplicand;

faciend被加數augend;summand乘數multiplier;multiplicator加數addend積product和sum除divided

by(prep.);divide(v.);division(n.)減minus

(prep.);subtract(v.);subtraction(n.)被除數dividend被減數minuend除數divisor減數subtrahend商quotient乘times(prep.);

multiply(v.);multiplication(n.)餘數remainder(10-4)

Operations(II)運算(二)計算calculation對數logarithm運算operation指數;冪;

乘方exponent;

power算術arithmetic二次方;

平方square運算符operator三次方;

立方cube等於equals,

isequalto,isequivalentto四次方the

poweroffour;

thefourthpower大於is

greaterthann次方the

powerofn;

thenthpower小於is

lesserthan開方evolution;

extraction大於等於is

morethanorequalto;

isnolessthan二次方根;

平方根square

root小於等於is

lessthanorequalto;

isnomorethan三次方根;

立方根cube

root比ratio四次方根the

rootoffour;

thefourthroot進位carryn次方根the

rootofn;thenthroot通分reductiontoacommondenominator截尾truncation約分reductionofafraction四捨五入round微積分calculus下捨入floor

(orrounddown)微分differential上捨入ceil

(orroundup)偏微分partial

differential絕對值absolutevalue;modulus導數derivative階乘factorial積分integral內積inner

product定積分definite

integral加權weight,

significance不定積分indefinite

integral轉換transform差分difference旋積convolution(10-5)

AlgebrasandFunctions代數與函數代數algebra方程式equation;

function係數coefficient公式formula;

formulae(pl.)未知數unknown;

x-factor;y-factor;z-factor恆等式identity常數constant單項式monomial變數variable多項式polynomial;

multinomial函數functionn次多項式nthorderpolynomial定義域domain;

fieldofdefinition一次方程linear

(orsimple)equation值域range二次方程quadratic

equation等式equality三次方程cubic

equation不等式inequalitym元n次

方程式nthorderequation

withmunknowns(10-6)

Properties性質極限limit奇偶性parity正交orthogonal(a);

orthogonality(n)對稱性symmetry交換律commutativity可逆性reversibility結換律associativity單調性monotonicity分配律distributivity週期性periodicity(10-7)

SetsandLogic集合與邏輯集合set;

aggregate聯集union元素element補集complement子集subset充分條件sufficient

condition空集void必要條件necessary

condition交集intersection充分且必要if

andonlyif(10-8)

Geometry(I)幾何(一)幾何geometry頂點vertex點point邊side線line直角邊leg面plane斜邊hypotenuse體solid底base平行parallel高height相交intersect三角形triangle垂直;正交perpendicular;vertical;orthogonal銳角三角形acute

triangle角angle直角三角形right

triangle角度degree鈍角三角形obtuse

triangle弧度radian不等邊三角形scalene

triangle銳角acute

angle等邊三角形equilateral

triangle直角right

angle等腰三角形isosceles

triangle鈍角obtuse

angle四邊形quadrilateral平角straight

angle長length周角perigon寬width圓circle對角線diagonal圓心centre(BrE),

center(AmE)平行四邊形parallelogram半徑radius矩形rectangle直徑diameter正方形square圓周率pi菱形rhomb;

rhombus;rhombi(pl.);diamond弧arc梯形trapezoid半圓semicircle直角梯形right

trapezoid扇形sector;

fan等腰梯形isosceles

trapezoid環ring五邊形pentagon橢圓ellipse六邊形hexagon圓周circumference七邊形heptagon面積area八邊形octagon周長perimeter九邊形enneagon畢氏定理Pythagorean

theorem十邊形decagon多邊形polygon十一邊形hendecagon正多邊形equilateral

polygon十二邊形dodecagon(10-9)

Geometry(II)幾何(二)相似similar球sphere全等congruent半球hemisphere立方體cube圓錐cone多面體polyhedron圓柱cylinder三角錐pyramid圓臺frustum

ofacone三角柱prism內切圓inscribed

circle棱臺frustum

ofaprism外切圓circum

circle四面體tetrahedron空間space五面體pentahedron維dimension六面體hexahedronn維n-dimension平行六面體parallelepipedn度空間n-dimensional

space七面體heptahedron三角trigonometry八面體octahedron正弦sine九面體enneahedron餘弦cosine十面體decahedron正切tangent十一面體hendecahedron餘切cotangent十二面體dodecahedron正割secant二十面體icosahedron餘割cosecant底面undersurface反正弦arc

sine內心incentre(BrE),

incenter(AmE)反餘弦arc

cosine外心excentre(BrE),

excenter(AmE)反正切arc

tangent旁心escentre(BrE),

escenter(AmE)反餘切arc

cotangent垂心orthocentre(BrE),

orthocenter(AmE)反正割arc

secant重心barycentre(BrE),

barycenter(AmE)反餘割arc

cosecant體積volume投影projection表面積surface

area旋轉rotation(10-10)

Geometry(III):LinesandCoordinates幾何(三):

線與座標軌跡locus,

loci(pl.)向量vector座標系coordinate象限quadrant直角座標系Cartesiancoordinatesystem線段segment圓座標系polar

coo

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