美英国小学教材资料 was-were-past-form-of-to-be

A-Leve l数学(Mathe matl cs)由四亍郃分姐成.换业数学・C ore Mathe matlcs h 力学数学t M ech an les Mathemati csx 轨计數H (Stali^tl cs Mathematitsy 决第數学Decision M ath&mati c& □选择学耳数学(Mathematics)^生，際了孩心数学心时Mathemahcs：^必修的基础数学之尔学生还需^据自己将来的犬学报读若业选择茸中T磯学『力Mechanics Mathematics},统计数学:Statistics f.fathemstics}.决董数学Decision Mathematics]・50将采读工程删]字主.可追力学数学谢xhanlcs);读社会科学觀金融经桥类的.可选:比计數字(Slatistlcs)：僂计算机嗽件类的.町选: 决策数韋Decision Maltieinalics^Core Mathematicsl (AS/A2) ------ 核心数学11. Algebra and fun ctio ns --- 代数和函数2. Quadratic functions ----- 二次函数3. Equati ons and in equalities --- 等式和不等式4. Sketchi ng curves ----- 画图(草图)5. Coordinate geometry in the (x, y) plane--------- 平面坐标系中的坐标几何6. Seque nces and series——数歹U7. Differe ntiation ------ 微分8. In tegrati on --- 积分Core Mathematics2 (AS/A2) ----- 核心数学21. Algebra and fun ctio ns --- 代数和函数2. The sine and cos ine rule ---- 正弦和余弦定理3. Expo nen tials and logarithm ----- 指数和对数4. Coordinate geometry in the (x, y) plane--------- 平面坐标系中的坐标几何5. The bi no mial expa nsion --- 二项展开式6. Radia n measure and its applicati on --- 弧度制及其应用7. Geometric seque nces and series ---- 等比数歹U8. Graphs of trig ono metric functions ----- 三角函数的图形9. Differe ntiation ------ 微分10. Trigonometric identities and simple equations ------ 三角恒等式和简单的三角等式11. I ntegration ---- 积分Core Mathematics3 (AS/A2) ----- 核心数学31. Algebra fractio ns ------ 分式代数2. Functions ------ 函数3. The expo nen tial and log fun ctio ns --- 指数函数和对数函数4. Numerical method ----- 数值法5. Tran sform ing graph of functions ---- 函数的图形变换6. Trigon ometry ------- 三角7. Further trig ono metric and their applicati ons ---- 高级三角恒等式及其应用8. Differe ntiation ------ 微分Core Mathematics4 (AS/A2) ----- 核心数学41. Partial fractio ns ---- 部分分式2. Coordinate geometry in the (x, y) plane--------- 平面坐标系中的坐标几何3. The bi no mial expa nsion --- 二项展开式4. Differe ntiation ------ 微分5. Vectors ----- 向量6. In tegrati on --- 积分A-Level :核心数学 Core Maths ，力学数学，统计数学，决策数学 1 2 3 4 5 6 7oio14 14 1520 24 252b3S丽48b4Core Mathematics1 (AS/A2 ) ----- 核心数学 1 8. In tegrati on ------ 积分 每章内容：SketclSketching < \4.1 4.2 4.3 4.44.5Quadratic functions 2A2.2 2.3 2.4 2.5 2.6 1 Algebra and futictlons1.1 1.2 L3 1用 IS L6 L7 L8 Summary of key poinisPlotting the s^phs of Solvingquadratic eqi 】“ 沪 巧 Completingthe: Solving quddratiuSolving quadrate t ions by “Sketching Z> JSummary of kfy 尸為Equations 匚 M Solving sinSolving simultaneob.Using substISolving linGi 『 in 何亦It 華& Solving quadratic^^^ii^sj.jtions by elimination 屈tion* by substitutinn f equation Is linear and the other is quadraticSimplifying an expression by collecting like termsThe laws Qf indicesExpanding an expression Factorhing an expressionFactorising a quadr^k expressionThv las\s of indices for dll rational exponents The use and nianipulation of it rdsRationalising the iknonnridtor of a fraction ivhen 才二dw: XCxsE by ractor i sa ti映>；肯『 c equtijLArby comgTfctjng th 」square .' 'J u iht^m uh Quadratic formulae ； ^ncc^is liiKar rq 3.13.2 33 3J 3.5Suiiunary of 匕叮心疋试he 护ph$ of cubic functions Interpr^lW^yaphs nf cubk fuiKtioiuSketch inutile reciprocal function JK ■ttivinicr sect ion points of o[ functions to solv< equations of the triinsfbr mat ions f(x + ⑷ dnd 冃工-川 舉effect of the transforiiiations fiux) and'Fftrfotming transformations on the sketches of curves詁ry of key pointsAlgebra and fun ctio ns ----- 代数和函数 Quadratic functions ----- 二次函数Equati ons and in equalities --- 等式和不等式 Sketchi ng curves --- 画图(草图)Coordinate geometry in the (x , y ) plane -------- 平面坐标系中的坐标几何 Seque nces and series ——数列Differe ntiation ------ 微分5 Coordinate geonwtry in the (x9 y) plane 6S5.1 The equation of a straight line in the form y = nix + c or ax + 如 + c = 0 655.2 The gradient of a straight line 605.3 The equation of a straight line of the form y - y严ifi(x - 心) 7&5.4 The formula for finding the equation of a straight line5.5 The conditions for two straight lines to be parallel or perpendicular ' 75Summary of key points6 Sequences and series6.1 Introduction to sequences6.2 The nth term of a sequence 0 836.3 Sequences generated by a recurrence relationship i \ // ()856.4 Arithmetic sequences 二886.5 Arithmetic series \C/^ \ °°6.6 The sum to n of an arithmetic series 936.7 Using X notation 」97Summary of key points ' 〃丿) 101 7 Differentiation (//. 1027」The derivative of f(x) as the thiCpn^kto tft^ graph y = f(x) 102105109113114115116117121122122124125126128130Core Mathematics2 (AS/A2 ) 核心数学 21. Algebra and fun ctio ns ---- 代数和函数2. The sine and cos ine rule ---- 正弦和余弦定理3. Expo nen tials and logarithm ---- 指数和对数4. Coordinate geometry in the (x , y ) plane -------- 平面坐标系中的坐标几何5. The bi no mial expa nsion --- 二项展开式6. Radia n measure and its applicati on --- 弧度制及其应用7. Geometric seque nces and series --- 等比数歹 U8. Graphs of trig ono metric functions ---- 三角函数的图形9. Differe ntiation ------ 微分 10. Trigonometric identities and simple equations ------ 三角恒等式和简单的三角等式 11. I ntegration ---- 积分 每章内容： Aigcbrj dEid luiKtions 1J1.2 13 1.4 Simplifying algebraic fractions by division Dividing apolynomial by (x i p)Factorising a polynomial using the Factor TheoremUsing the Remainder Theorem Summary of k (?y pointsThe sint ： and cosine ruleUsing the sine rule to find missing sides Using the sine nde find unF^wn angles The rule andfinding two w* Using the cosine ruEc ia Fin# Using the cosine rule tc a Using the sine tl «Calculaikng the area 2A 2.2 23 2.4 2.5 2.6 2.7 f or a nih^F Eo切 Mck ssing an^ic^ L . ■ #4RI le 3 nr< !'『 庶耳竝遁 Theo re mot^Jy^ngle us)闵jExponctuiah an<r^ogaMh * 3J王2 玉33.43.5 3.6Summary of key pointsCk Coordinate in the (x, y\ plant4.1 The 4.2 The ciiibi Suniinjjy of key polrt 115 10 131718 18 21 23 24 27 30 32 36 37 37 39 4() 41 43 45 4ti 49 49 57 60 68 70 70 72 73 75 79tnsTh<bfunctk 严 Writing ns as a Calculating *丄耳 to Laws of JogarithmS Solvi ng equations 汐 a' - b Changing the mt ni ot A line M 峥曲亡two points on a line 4*3 The equatitJiiif a circle Summiiry of fr r/ points iriomTal expansion s triangle X Combinntions and factorialUsing (：) m the binomial expansion5-4 Expanding (d + bxY r using the binomial expansion Summary of key point*11o Kaaian measure ana its applications Using radians to measure angles The length ofthe arc of a circle The area of a sector of a circle The area of a segment of a circle Geometric sequences Geometric progressions and the nth term Usinggeometric sequences to solve problems The sum of a geometric seriesThe sum to infinity of a geometric series Graphs of trigonometric functionsSine, cosine andtangent(unctionsThe values of trigonomef/ functions in the Exact values and surds f Graphs of sine 0f cos J J 、 Simple transformants oDifferentiation9.1 Increasing s ・9.2 Stationarymaximun 、, minipjum and points of inflexion 9.3Using f^rninjf points to Summar 1 “ 亠 inisTrigonom^/ Jidentitie】0.161 6.2 6.3 6.4Summary of key pointsGeometric sequences and series 7.1 7.2 7.3 7.4 7.5Summary of key points8.1 8.2 8.3 8.4 &5Summary of key poE ；' le equations titles ometrical equations e formsin(nd + a), cos(n0 + a) and tan(n0 + a) = k ig?nometrical equationsSimple trigoSolving simj SolvingeqySolving qudIntegratio11.1 11.2 11.3 Are n.4 94 94 9598 100 103 109 110 110 114 117 118 121 127 141 141 146 149 151 156157 157 159 161 164 169 17710129 129 131135 1406 93 ms10.210.310.4Summary ote integrationa curvea curve that gives negative values n a straight line and a curve rapezium Rule of key points11Core Mathematics3 (AS/A2 ) 核心数学 31 2 3 4 5 6 7 8101Ki.S1 12每章内容:7.5 i'hc racloi tbrinuiai'Alxvbrdit Iriiciions1.1 1.2 1.3I'rigonomctry64 6.2AjipJying a corn^ixiatj Sketching trar^8 Differentiation8.1 B.2 8.3 K 4 8.58.68.71281301311322 E r unctioi-i^2,1 2.2 2-3 2.4 2.5Differentiating ti&ing the chain rule Differ ent tatlng using the product rult Differs nt latL ng using the quotient rukr I if fere nt iat j ng the exponential function Finding the differential of the logarithmic function. _Differentiating 5in x(C~Di fferenti ati ng cos xDifferent is tin^ t^n xDifferenliatkng further trigonometrLcaJ functions[differentiating functians formed by combining frigon 九丁贰#乎卜 cxprtncniiaL logfkritl-imLc and polynomial fLinctior^ ;Simplify algebraic fractions by LUI 1{.C IL UI ^ 口 Multiply dix jdici^frjLiujii->Adding and subtracting algvbrd k frautionsI nx alxvbriiit fr*ittic.jri^ jind tiir rcn )i»iii<lvr Ltit.-c.i^int <ln y 4-cn U>iTi 耳$ [JCX JJ€»TLOkl t k J I fLIIlC'Floriiir^^of <> gr^jj^/ica11 y 「_ ___2 =」cth^Js^lcrlind approximate root 萤 of 陶仟彳Tran 露Fermi 订呂 graf^/of fui^ctiini^5-1 Sketch! tig graphs ot 1^hhockx!^^ 4^u net ion y 一 lf(x)l 5u2 Sketching g^r^phs y = f(lxl) (A p olvin^a mcxluliis mictions to sketch erv«?« 什fih 订花JJ CFIM H 11 台 Mlielling lhe co-ordinates ofgiven H, cosecant 仇 and cotaingEfU 丹 f ^tant 也 cosecant 优 and cotangent 甘 xpressicmsj proving iclentiti^ iind solving equations, usingMapping diingrarns and 耳of opaeiiitions ( JFunc-tions <irid functioii notatk>tiRange, mapping diagrams,, graphs and definitionsJUsing composite functions #*f 丿Finding and using inverse-The exponential and log f u net ion s°3/1 Introdticing exponent ial ・ rtions of lhe I'omCj^ . h 心 3・立 Graphs of exponential旷卞：」^ 前m 扌匸卩 存占；逆"二tlxfn 琴， 严U^irig 护 ^Eidinwu b©■—主亠二亠亠」一■■Numerical method? ” 4.1 Finding approx if 4.2 U^ing ilerati algebraic iiicthi l ^irs'lw^nnd approximate rt>ots The fijnr/Q?6?/I TieSimplifying £ sec 他 cowO?R and cot Hidcnlitles l 十 lan 2^ = $2H and 1 + cot-^ = cosec 2IJs.iriglmerse trigcinometricai Uinclions and their graphs7 ..Further tngimonietrk identities and theif applies HonsSt/LMrig addition trigoiionietrical lormulac二Using double an^lc trigoiiDmctrical farmulae7?T Solving equdtiom and proving Idcntltiics using doubk iirigle foniiuLie ^^7 4 Usin^ the fonii a cos b sin B lin striving trigonotnetrical piobiennAlgebra fractions ------ 分式代数 Functions ----- 函数Transforming graph of functions -------函数的图形变换 Trigonometry ----- 三角Further trigonometric and their applications ------ 高级三角恒等式及其应用 Differentiation ------ 微分The exponential and log functions Numerical method ------ 数值法指数函数和对数函数Core Mathematics3 (AS/A2 ) 核心数学4Core Mathematics3 (AS/A2 ) 核心数学 51 2 3 4 556 vector37074 11B4 2110ft6J1111126139 SI6264 fi2 «2 AIXJUL L l||\ ULHJK2A3.2 33 Exam style paperFormulae you need to know List of symbols and notation AnswersIndexof two vectors n of a straightAdding and subtracting algehraic fractionsPartial fractions with two linear factors in the denominatorPartial fractions with ttnee or mor^ linear factors in th<? denominator Partial tract ions with repeated linear factors in the denominator Improper fractions into partial fractions1 Partial fractions L:y 1 ■jitrgrating £t^ndard Junctions Integrating using the reverse chain rule Using trigonometric identities in integrationUsing partial fractions to Integrate expressionsUsing standard patterns to integrdle expre^iorr liitvgraUon by subtjtiti.ition Integration by parts Numericalintegration Integration to find ateas and volumes 1Using integration to solvedifferential equations Difkrtntiai rquatjom in context2 Cootdinate geometry in the (x, y) 2」Parametric equations used toParametric equations used to dtiine the uxirdin^tes ot a Using paranictrkequ 訓 UKndinate 驴oimtr* Converting paramet^. jitions into cartesian 世qiut 档才 Finding the itrea ^iidche airve given by pannr 严旷 ^quations3 Fhe binomial ex3,i UMII^ VtXUMl IU UtSUilW J-^JJJLS I ；In 2 or 3 dimensions 二,二二 55Cartesian toniponeidi Gf a \yytor in 2dimensionsCartesian components ol in 3 dimensio%7^； Extending 2 /悸幺？冲results io ]he seal;| The vect*[nUT^clrnjfetraighi line vector 戸理逖石kFx linesJo between two straight Using partial fracti>#w$ Kjtw tiiv ■binamiai expanjy^f \、 Different la Uon4.1 Differentki(I nti ；ons givenpararnetricaifrf/4 2 Diffenyitiating^uationwhich arc implicitO43 Diffett»y^a!ing the function a 1 4.4｛垃 tSftitiibn and rates of change4.5 唏蛙少他rtrntjai equations 5 VecS^ ?<^54,Ve?tor d^fmitipns 4nd vector ^^iiAgrams r 、§,2 Vector arithmetic and the unit vectorThe binomial expulsion a - positive integral index Using the binomidexpand + l^x)"\ j ' 6. In tegrati on ------ 积分 每章内容：The bi no mial expa nsion --- 二项展开式 Differe ntiation ------微分 Vectors ----- 向量Partial fractio ns ---- 部分分式 Coordin ate geometry in the ( x , y ) pla ne 平面坐标系中的坐标几何。

U4:THE FUTURE OF ENGLISH 英语的未来In the middle of sixteenth century, English was spoken by between four and five millions of people, and stood fifth among the European languages, with French, German, Italian, and Spanish ahead of it in that order, and Russian following. Two hundred years later Italian had dropped behind but Russian had gone ahead, so that English was still in fifth place. But by the end of the Eighteenth Century it began to move forward, and by the middle of the Nineteenth it had forced its way into first place. To-day it is so far in the lead that it is probably spoken by as many people as the next two languages—Russian and German combined.在16世纪中叶，有四五百万人说英语，说英语的人数在欧洲的语言中名列第五。

前四位依次是法语、德语、意大利语和西班牙语。

俄语排在英语之后。

两百年以后，意大利语排名落后，而俄语的排名靠前了，英语依然处于第五位。

到了18世纪末，英语的地位开始上升。

到19世纪中叶，英语已经跻身于第一位了。

今天，英语的地位遥遥领先，说英语的人数可能达到说后两种语言，即俄语和德语人数的总和。

【新课堂】Module1 Unit 1教材同步讲解同学们，你们知道许多年前你们的爷爷奶奶过着怎样的生活吗？你们了解他们现在的生活和过去的生活有着什么样的变化吗？一起来学习一下吧，学习怎样用英语描述过去和现在的生活的变化吧！语法索引Unit l（第一单元）1．still的用法，in the UK与in England的区别及with的用法 (6)2. look的用法，祈使句简介及about的用法……一………一(7)3．come的含义……一………．．(8)4. life的用法及辨析very与too，many与some.ago与before (8)5．how的用法……“ ………．．(9)6. live in的用法及辨析house, home与family... (10)7．-般过去时及enough的用法 (10)8．There be句型及辨析some与any9．have表示“有”……10．动名词的用法…11.现在进行时简介…………Unit 2（第二单元）12．really的用法……13.辨析talk，say和speak……15．or的用法………16．miss的用法……17．hope的用法……18. back then酌用法…………模块目标预览学前必备知识目标语音能熟练掌握音标/eI／，/o:/，/a:/的发音要领，并能分辨字母组合ai，al，ar，au和ay在单词中的发音。

词汇单词life(生活)，different（不同的），ago（以前），teievision(电视机)，enough（足够的），change(改变，变化)，night(夜晚，夜间)，or(也不，也没)，couldn't= could not(不能)，write(写)，grandchildren,lady（女士，夫人），fire（火，炉火），radio（收音机），hope（希望），telephone （电话），field（田地），programme（节目），interviewer(采访者)短语a programme about China（一个关于中国的节目），many years ago（许多年前），live in a small house（住在一所小房子里），enough food(足够的食物)，lots of buses and cars(许多公共汽车和小汽车)，talk to...（和…～交谈），have got(拥有)，watch TV(看电视)，talk about(谈论)，on a fire(在炉火上)，in the fields(在田地里)，in the UK(在英国)同学们，下列词汇要求你们能听懂、会说、会读，你们能做到吗？单词world(世界)，past(过去)，wherever(各处，处处)短语every day(每天)，how about_（……怎么样），miss China(想念中国)句型同学们，下列日常用语要求你们能听懂、会说、会读、会写，你们能做到吗？1．There be句型的过去时：There was/wasn't/were/weren't+某人／某物十某地．某地有／没有某人／某物。