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兩條平行線間的距離教學(xué)設(shè)計(jì)人教A版高中數(shù)學(xué)選擇性必修第一冊(cè)
一、情境導(dǎo)學(xué)前面我們已經(jīng)得到了兩點(diǎn)間的距離公式，點(diǎn)到直線的距離公式，關(guān)于平面上的距離問(wèn)題，兩條直線間的距離也是值得研究的。思考1：立定跳遠(yuǎn)測(cè)量的什么距離？A.兩平行線的距離 B.點(diǎn)到直線的距離 C. 點(diǎn)到點(diǎn)的距離二、探究新知思考2：已知兩條平行直線l_1,l_2的方程，如何求l_1 〖與l〗_2間的距離？根據(jù)兩條平行直線間距離的含義，在直線l_1上取任一點(diǎn)P（x_0,y_0 ），,點(diǎn)P（x_0,y_0 ）到直線l_2的距離就是直線l_1與直線l_2間的距離，這樣求兩條平行線間的距離就轉(zhuǎn)化為求點(diǎn)到直線的距離。兩條平行直線間的距離1. 定義：夾在兩平行線間的__________的長(zhǎng).公垂線段2. 圖示： 3. 求法：轉(zhuǎn)化為點(diǎn)到直線的距離.1．原點(diǎn)到直線x＋2y－5＝0的距離是( )A．2 B．3 C．2 D．5D [d＝|－5|12＋22＝5.選D.]
兩直線的交點(diǎn)坐標(biāo)教學(xué)設(shè)計(jì)人教A版高中數(shù)學(xué)選擇性必修第一冊(cè)
1.直線2x+y+8=0和直線x+y-1=0的交點(diǎn)坐標(biāo)是( )A.(-9,-10) B.(-9,10) C.(9,10) D.(9,-10)解析:解方程組{■(2x+y+8=0"," @x+y"-" 1=0"," )┤得{■(x="-" 9"," @y=10"," )┤即交點(diǎn)坐標(biāo)是(-9,10).答案:B 2.直線2x+3y-k=0和直線x-ky+12=0的交點(diǎn)在x軸上,則k的值為( )A.-24 B.24 C.6 D.± 6解析:∵直線2x+3y-k=0和直線x-ky+12=0的交點(diǎn)在x軸上,可設(shè)交點(diǎn)坐標(biāo)為(a,0),∴{■(2a"-" k=0"," @a+12=0"," )┤解得{■(a="-" 12"," @k="-" 24"," )┤故選A.答案:A 3.已知直線l1:ax+y-6=0與l2:x+(a-2)y+a-1=0相交于點(diǎn)P,若l1⊥l2,則點(diǎn)P的坐標(biāo)為 . 解析:∵直線l1:ax+y-6=0與l2:x+(a-2)y+a-1=0相交于點(diǎn)P,且l1⊥l2,∴a×1+1×(a-2)=0,解得a=1,聯(lián)立方程{■(x+y"-" 6=0"," @x"-" y=0"," )┤易得x=3,y=3,∴點(diǎn)P的坐標(biāo)為(3,3).答案:(3,3) 4.求證:不論m為何值,直線(m-1)x+(2m-1)y=m-5都通過(guò)一定點(diǎn). 證明:將原方程按m的降冪排列,整理得(x+2y-1)m-(x+y-5)=0,此式對(duì)于m的任意實(shí)數(shù)值都成立,根據(jù)恒等式的要求,m的一次項(xiàng)系數(shù)與常數(shù)項(xiàng)均等于零,故有{■(x+2y"-" 1=0"," @x+y"-" 5=0"," )┤解得{■(x=9"," @y="-" 4"." )┤
圓的標(biāo)準(zhǔn)方程教學(xué)設(shè)計(jì)人教A版高中數(shù)學(xué)選擇性必修第一冊(cè)
(1)幾何法它是利用圖形的幾何性質(zhì),如圓的性質(zhì)等,直接求出圓的圓心和半徑,代入圓的標(biāo)準(zhǔn)方程,從而得到圓的標(biāo)準(zhǔn)方程.(2)待定系數(shù)法由三個(gè)獨(dú)立條件得到三個(gè)方程,解方程組以得到圓的標(biāo)準(zhǔn)方程中三個(gè)參數(shù),從而確定圓的標(biāo)準(zhǔn)方程.它是求圓的方程最常用的方法,一般步驟是:①設(shè)——設(shè)所求圓的方程為(x-a)2+(y-b)2=r2;②列——由已知條件,建立關(guān)于a,b,r的方程組;③解——解方程組,求出a,b,r;④代——將a,b,r代入所設(shè)方程,得所求圓的方程.跟蹤訓(xùn)練1．已知△ABC的三個(gè)頂點(diǎn)坐標(biāo)分別為A(0,5)，B(1，－2)，C(－3，－4)，求該三角形的外接圓的方程．[解] 法一：設(shè)所求圓的標(biāo)準(zhǔn)方程為(x－a)2＋(y－b)2＝r2.因?yàn)锳(0,5)，B(1,－2)，C(－3,－4)都在圓上，所以它們的坐標(biāo)都滿足圓的標(biāo)準(zhǔn)方程，于是有?0－a?2＋?5－b?2＝r2，?1－a?2＋?－2－b?2＝r2，?－3－a?2＋?－4－b?2＝r2.解得a＝－3，b＝1，r＝5.故所求圓的標(biāo)準(zhǔn)方程是(x＋3)2＋(y－1)2＝25.
圓的一般方程教學(xué)設(shè)計(jì)人教A版高中數(shù)學(xué)選擇性必修第一冊(cè)
情境導(dǎo)學(xué)前面我們已討論了圓的標(biāo)準(zhǔn)方程為(x-a)2+(y-b)2=r2,現(xiàn)將其展開(kāi)可得：x2+y2-2ax-2bx+a2+b2-r2=0.可見(jiàn),任何一個(gè)圓的方程都可以變形x2+y2+Dx+Ey+F=0的形式.請(qǐng)大家思考一下,形如x2+y2+Dx+Ey+F=0的方程表示的曲線是不是圓?下面我們來(lái)探討這一方面的問(wèn)題.探究新知例如,對(duì)于方程x^2+y^2-2x-4y+6=0,對(duì)其進(jìn)行配方，得〖(x-1)〗^2+(〖y-2)〗^2=-1,因?yàn)槿我庖稽c(diǎn)的坐標(biāo) (x,y) 都不滿足這個(gè)方程，所以這個(gè)方程不表示任何圖形，所以形如x2+y2+Dx+Ey+F=0的方程不一定能通過(guò)恒等變換為圓的標(biāo)準(zhǔn)方程，這表明形如x2+y2+Dx+Ey+F=0的方程不一定是圓的方程.一、圓的一般方程（1）當(dāng)D2+E2-4F>0時(shí),方程x2+y2+Dx+Ey+F=0表示以(-D/2,-E/2)為圓心,1/2 √(D^2+E^2 "-" 4F)為半徑的圓,將方程x2+y2+Dx+Ey+F=0，配方可得〖(x+D/2)〗^2+(〖y+E/2)〗^2=(D^2+E^2-4F)/4（2）當(dāng)D2+E2-4F=0時(shí),方程x2+y2+Dx+Ey+F=0，表示一個(gè)點(diǎn)(-D/2,-E/2)（3）當(dāng)D2+E2-4F0);
直線的點(diǎn)斜式方程教學(xué)設(shè)計(jì)人教A版高中數(shù)學(xué)選擇性必修第一冊(cè)
【答案】B [由直線方程知直線斜率為3，令x＝0可得在y軸上的截距為y＝－3.故選B.]3．已知直線l1過(guò)點(diǎn)P(2,1)且與直線l2：y＝x＋1垂直，則l1的點(diǎn)斜式方程為_(kāi)_______．【答案】y－1＝－(x－2) [直線l2的斜率k2＝1，故l1的斜率為－1，所以l1的點(diǎn)斜式方程為y－1＝－(x－2)．]4．已知兩條直線y＝ax－2和y＝(2－a)x＋1互相平行，則a＝________. 【答案】1 [由題意得a＝2－a，解得a＝1.]5.無(wú)論k取何值,直線y-2=k(x+1)所過(guò)的定點(diǎn)是 . 【答案】(-1,2)6．直線l經(jīng)過(guò)點(diǎn)P(3,4)，它的傾斜角是直線y＝3x＋3的傾斜角的2倍，求直線l的點(diǎn)斜式方程．【答案】直線y＝3x＋3的斜率k＝3，則其傾斜角α＝60°，所以直線l的傾斜角為120°.以直線l的斜率為k′＝tan 120°＝－3.所以直線l的點(diǎn)斜式方程為y－4＝－3(x－3)．
直線的兩點(diǎn)式方程教學(xué)設(shè)計(jì)人教A版高中數(shù)學(xué)選擇性必修第一冊(cè)
解析：①過(guò)原點(diǎn)時(shí)，直線方程為y＝－34x.②直線不過(guò)原點(diǎn)時(shí)，可設(shè)其方程為xa＋ya＝1，∴4a＋－3a＝1，∴a＝1.∴直線方程為x＋y－1＝0.所以這樣的直線有2條，選B.答案：B4.若點(diǎn)P(3,m)在過(guò)點(diǎn)A(2,-1),B(-3,4)的直線上,則m= . 解析:由兩點(diǎn)式方程得,過(guò)A,B兩點(diǎn)的直線方程為(y"-(-" 1")" )/(4"-(-" 1")" )=(x"-" 2)/("-" 3"-" 2),即x+y-1=0.又點(diǎn)P(3,m)在直線AB上,所以3+m-1=0,得m=-2.答案:-2 5.直線ax+by=1(ab≠0)與兩坐標(biāo)軸圍成的三角形的面積是 . 解析:直線在兩坐標(biāo)軸上的截距分別為1/a 與 1/b,所以直線與坐標(biāo)軸圍成的三角形面積為1/(2"|" ab"|" ).答案:1/(2"|" ab"|" )6.已知三角形的三個(gè)頂點(diǎn)A(0,4)，B(－2,6)，C(－8,0)．(1)求三角形三邊所在直線的方程；(2)求AC邊上的垂直平分線的方程．解析(1)直線AB的方程為y－46－4＝x－0－2－0，整理得x＋y－4＝0；直線BC的方程為y－06－0＝x＋8－2＋8，整理得x－y＋8＝0；由截距式可知，直線AC的方程為x－8＋y4＝1，整理得x－2y＋8＝0.(2)線段AC的中點(diǎn)為D(－4,2)，直線AC的斜率為12，則AC邊上的垂直平分線的斜率為－2，所以AC邊的垂直平分線的方程為y－2＝－2(x＋4)，整理得2x＋y＋6＝0.
直線的一般式方程教學(xué)設(shè)計(jì)人教A版高中數(shù)學(xué)選擇性必修第一冊(cè)
解析:當(dāng)a0時(shí),直線ax-by=1在x軸上的截距1/a0,在y軸上的截距-1/a>0.只有B滿足.故選B.答案:B 3．過(guò)點(diǎn)(1,0)且與直線x－2y－2＝0平行的直線方程是( ) A．x－2y－1＝0 B．x－2y＋1＝0C．2x＋y＝2＝0 D．x＋2y－1＝0答案A 解析：設(shè)所求直線方程為x－2y＋c＝0，把點(diǎn)(1,0)代入可求得c＝－1.所以所求直線方程為x－2y－1＝0.故選A.4．已知兩條直線y＝ax－2和3x－(a＋2)y＋1＝0互相平行，則a＝________.答案：1或－3 解析：依題意得：a(a＋2)＝3×1，解得a＝1或a＝－3.5．若方程(m2－3m＋2)x＋(m－2)y－2m＋5＝0表示直線．(1)求實(shí)數(shù)m的范圍；(2)若該直線的斜率k＝1，求實(shí)數(shù)m的值．解析： (1)由m2－3m＋2＝0，m－2＝0，解得m＝2，若方程表示直線，則m2－3m＋2與m－2不能同時(shí)為0，故m≠2.(2)由－?m2－3m＋2?m－2＝1，解得m＝0.
人教A版高中數(shù)學(xué)必修一兩角和與差的正弦、余弦和正切公式教學(xué)設(shè)計(jì)（1）
本節(jié)課選自《普通高中課程標(biāo)準(zhǔn)實(shí)驗(yàn)教科書(shū)數(shù)學(xué)必修1本（A版）》第五章的5.5.1 兩角和與差的正弦、余弦和正切公式。本節(jié)的主要內(nèi)容是由兩角差的余弦公式的推導(dǎo)，運(yùn)用誘導(dǎo)公式、同角三角函數(shù)的基本關(guān)系和代數(shù)變形，得到其它的和差角公式。讓學(xué)生感受數(shù)形結(jié)合及轉(zhuǎn)化的思想方法。發(fā)展學(xué)生數(shù)學(xué)直觀、數(shù)學(xué)抽象、邏輯推理、數(shù)學(xué)建模的核心素養(yǎng)。課程目標(biāo) 學(xué)科素養(yǎng)1.了解兩角差的余弦公式的推導(dǎo)過(guò)程．2．掌握由兩角差的余弦公式推導(dǎo)出兩角和的余弦公式及兩角和與差的正弦、正切公式．3．熟悉兩角和與差的正弦、余弦、正切公式的靈活運(yùn)用，了解公式的正用、逆用以及角的變換的常用方法．4.通過(guò)正切函數(shù)圖像與性質(zhì)的探究，培養(yǎng)學(xué)生數(shù)形結(jié)合和類比的思想方法。 a.數(shù)學(xué)抽象：公式的推導(dǎo)；b.邏輯推理：公式之間的聯(lián)系；c.數(shù)學(xué)運(yùn)算：運(yùn)用和差角角公式求值；d.直觀想象：兩角差的余弦公式的推導(dǎo)；e.數(shù)學(xué)建模：公式的靈活運(yùn)用；
人教A版高中數(shù)學(xué)必修一兩角和與差的正弦、余弦和正切公式教學(xué)設(shè)計(jì)（2）
本節(jié)內(nèi)容是三角恒等變形的基礎(chǔ)，是正弦線、余弦線和誘導(dǎo)公式等知識(shí)的延伸，同時(shí)，它又是兩角和、差、倍、半角等公式的“源頭”。兩角和與差的正弦、余弦、正切是本章的重要內(nèi)容，對(duì)于三角變換、三角恒等式的證明和三角函數(shù)式的化簡(jiǎn)、求值等三角問(wèn)題的解決有著重要的支撐作用。 課程目標(biāo)1、能夠推導(dǎo)出兩角和與差的正弦、余弦、正切公式并能應(yīng)用; 2、掌握二倍角公式及變形公式，能靈活運(yùn)用二倍角公式解決有關(guān)的化簡(jiǎn)、求值、證明問(wèn)題．?dāng)?shù)學(xué)學(xué)科素養(yǎng)1.數(shù)學(xué)抽象：兩角和與差的正弦、余弦和正切公式； 2.邏輯推理： 運(yùn)用公式解決基本三角函數(shù)式的化簡(jiǎn)、證明等問(wèn)題；3.數(shù)學(xué)運(yùn)算：運(yùn)用公式解決基本三角函數(shù)式求值問(wèn)題.4.數(shù)學(xué)建模：學(xué)生體會(huì)到一般與特殊，換元等數(shù)學(xué)思想在三角恒等變換中的作用。.
空間向量基本定理教學(xué)設(shè)計(jì)人教A版高中數(shù)學(xué)選擇性必修第一冊(cè)
反思感悟用基底表示空間向量的解題策略1.空間中,任一向量都可以用一個(gè)基底表示,且只要基底確定,則表示形式是唯一的.2.用基底表示空間向量時(shí),一般要結(jié)合圖形,運(yùn)用向量加法、減法的平行四邊形法則、三角形法則,以及數(shù)乘向量的運(yùn)算法則,逐步向基向量過(guò)渡,直至全部用基向量表示.3.在空間幾何體中選擇基底時(shí),通常選取公共起點(diǎn)最集中的向量或關(guān)系最明確的向量作為基底,例如,在正方體、長(zhǎng)方體、平行六面體、四面體中,一般選用從同一頂點(diǎn)出發(fā)的三條棱所對(duì)應(yīng)的向量作為基底.例2.在棱長(zhǎng)為2的正方體ABCD-A1B1C1D1中,E,F分別是DD1,BD的中點(diǎn),點(diǎn)G在棱CD上,且CG=1/3 CD(1)證明:EF⊥B1C;(2)求EF與C1G所成角的余弦值.思路分析選擇一個(gè)空間基底,將(EF) ?,(B_1 C) ?,(C_1 G) ?用基向量表示.(1)證明(EF) ?·(B_1 C) ?=0即可;(2)求(EF) ?與(C_1 G) ?夾角的余弦值即可.(1)證明:設(shè)(DA) ?=i,(DC) ?=j,(DD_1 ) ?=k,則{i,j,k}構(gòu)成空間的一個(gè)正交基底.
傾斜角與斜率教學(xué)設(shè)計(jì)人教A版高中數(shù)學(xué)選擇性必修第一冊(cè)
(2)l的傾斜角為90°,即l平行于y軸,所以m+1=2m,得m=1.延伸探究1 本例條件不變,試求直線l的傾斜角為銳角時(shí)實(shí)數(shù)m的取值范圍.解:由題意知(m"-" 1"-" 1)/(m+1"-" 2m)>0,解得1<m<2.延伸探究2 若將本例中的“N(2m,1)”改為“N(3m,2m)”,其他條件不變,結(jié)果如何?解:(1)由題意知(m"-" 1"-" 2m)/(m+1"-" 3m)=1,解得m=2.(2)由題意知m+1=3m,解得m=1/2.直線斜率的計(jì)算方法(1)判斷兩點(diǎn)的橫坐標(biāo)是否相等,若相等,則直線的斜率不存在.(2)若兩點(diǎn)的橫坐標(biāo)不相等,則可以用斜率公式k=(y_2 "-" y_1)/(x_2 "-" x_1 )(其中x1≠x2)進(jìn)行計(jì)算.金題典例 光線從點(diǎn)A(2,1)射到y(tǒng)軸上的點(diǎn)Q,經(jīng)y軸反射后過(guò)點(diǎn)B(4,3),試求點(diǎn)Q的坐標(biāo)及入射光線的斜率.解:(方法1)設(shè)Q(0,y),則由題意得kQA=-kQB.∵kQA=(1"-" y)/2,kQB=(3"-" y)/4,∴(1"-" y)/2=-(3"-" y)/4.解得y=5/3,即點(diǎn)Q的坐標(biāo)為 0,5/3 ,∴k入=kQA=(1"-" y)/2=-1/3.(方法2)設(shè)Q(0,y),如圖,點(diǎn)B(4,3)關(guān)于y軸的對(duì)稱點(diǎn)為B'(-4,3), kAB'=(1"-" 3)/(2+4)=-1/3,由題意得,A、Q、B'三點(diǎn)共線.從而入射光線的斜率為kAQ=kAB'=-1/3.所以,有(1"-" y)/2=(1"-" 3)/(2+4),解得y=5/3,點(diǎn)Q的坐標(biāo)為(0,5/3).
人教A版高中數(shù)學(xué)必修一二次函數(shù)與一元二次方程、不等式教學(xué)設(shè)計(jì)（2）
三個(gè)“二次”即一元二次函數(shù)、一元二次方程、一元二次不等式是高中數(shù)學(xué)的重要內(nèi)容，具有豐富的內(nèi)涵和密切的聯(lián)系，同時(shí)也是研究包含二次曲線在內(nèi)的許多內(nèi)容的工具 高考試題中近一半的試題與這三個(gè)“二次”問(wèn)題有關(guān) 本節(jié)主要是幫助考生理解三者之間的區(qū)別及聯(lián)系，掌握函數(shù)、方程及不等式的思想和方法。課程目標(biāo)1. 通過(guò)探索，使學(xué)生理解二次函數(shù)與一元二次方程，一元二次不等式之間的聯(lián)系。2. 使學(xué)生能夠運(yùn)用二次函數(shù)及其圖像，性質(zhì)解決實(shí)際問(wèn)題． 3. 滲透數(shù)形結(jié)合思想，進(jìn)一步培養(yǎng)學(xué)生綜合解題能力。數(shù)學(xué)學(xué)科素養(yǎng)1.數(shù)學(xué)抽象：一元二次函數(shù)與一元二次方程，一元二次不等式之間的聯(lián)系；2.邏輯推理：一元二次不等式恒成立問(wèn)題；3.數(shù)學(xué)運(yùn)算：解一元二次不等式；4.數(shù)據(jù)分析：一元二次不等式解決實(shí)際問(wèn)題；5.數(shù)學(xué)建模：運(yùn)用數(shù)形結(jié)合的思想，逐步滲透一元二次函數(shù)與一元二次方程，一元二次不等式之間的聯(lián)系。
新人教版高中英語(yǔ)選修2Unit 3 Learning about Language教學(xué)設(shè)計(jì)
1. We'll need ten months at least to have the restaurant decorated.2.Some traditional Chinese dishes from before the Ming Dynasty are still popular today.3.My grandpa's breakfast mainly includes whole grain biscuits and a glass of milk.4.People in this area would eat nearly a kilo of cheese per week.5. We enjoyed a special dinner in a fancy restaurant where the waiters all wore attractive suits.6. He prefers this brand of coffee which, as he said, has an unusually good flavor.Key:1. at a minimum 2. prior to3. consist of4. consume5. elegant6. exceptionalStep 5：Familiarize yourself with some food idioms by matching the meaning on the right with the colored words on the left.1.Public concern for the health of farm animals has mushroomed in the UK2.Anderson may be young but he's certainly rolling to doing dough!3.George is a popular lecturer. He often peppers his speech with jokes.4.As the person to bring home the bacon, he needs to find a stable job.5 He is often regarded as a ham actor for his over emphasized facial expressions. The media reported that these companies had treated pollution as a hot potato. 6.The media reported that these companies had treated pollution as a hot potato.7.Don't worry about the test tomorrow. It's going to be a piece of cake!8. It's best to fold the swimming ring when it is as flat as a pancake.A. completely flatB. something that is very easy to do C.an issue that is hard to deal withD.to include large numbers of somethingE.to earn on e's living to support a familyF. wealthyG.to rapidly increase in numberH. an actor who performs badly, especially by over emphasizing emotions
新人教版高中英語(yǔ)選修2Unit 3 Reading for writing教學(xué)設(shè)計(jì)
The theme of this part is to write an article about healthy diet. Through reading and writing activities, students can accumulate knowledge about healthy diet, deepen their understanding of the theme of healthy diet, and reflect on their own eating habits. This text describes the basic principles of healthy diet. The author uses data analysis, definition, comparison, examples and other methods. It also provides a demonstration of the use of conjunctions, which provides important information reference for students to complete the next collaborative task, writing skills, vivid language materials and expressions.1. Teach Ss to learn and skillfully use the new words learned from the text.2. Develop students’ ability to understand, extract and summarize information.3. Guide students to understand the theme of healthy diet and reflect on their own eating habits.4. To guide students to analyze and understand the reading discourse from the aspects of theme content, writing structure, language expression, etc., 5. Enable Ss to write in combination with relevant topics and opinions, and to talk about their eating habits.1. Guide students to analyze and understand the reading discourse from the aspects of theme content, writing structure, language expression, etc.2. Enable them to write in combination with relevant topics and opinions, and to talk about their eating habits.3. Guide the students to use the cohesive words correctly, strengthen the textual cohesion, and make the expression fluent and the thinking clear.Step1: Warming upbrainstorm some healthy eating habits.1.Eat slowly.2.Don’t eat too much fat or sugar.3.Eat healthy food.4.Have a balanced diet.Step2: Read the passage and then sum up the main idea of each paragraph.
新人教版高中英語(yǔ)選修2Unit 3 Using langauge-Listening教學(xué)設(shè)計(jì)
1． How is Hunan cuisine somewhat different from Sichuan cuisine?The heat in Sichuan cuisine comes from chilies and Sichuan peppercorns. Human cuisine is often hotter and the heat comes from just chilies.2.What are the reasons why Hunan people like spicy food?Because they are a bold people. But many Chinese people think that hot food helps them overcome the effects of rainy or wet weather.3.Why do so many people love steamed fish head covered with chilies?People love it because the meat is quite tender and there are very few small bones.4.Why does Tingting recommend bridge tofu instead of dry pot duck with golden buns?Because bridge tofu has a lighter taste.5 .Why is red braised pork the most famous dish?Because Chairman Mao was from Hunan, and this was his favorite food.Step 5: Instruct students to make a short presentation to the class about your choice. Use the example and useful phrases below to help them.? In groups of three, discuss what types of restaurant you would like to take a foreign visitor to, and why. Then take turns role-playing taking your foreign guest to the restaurant you have chosen. One of you should act as the foreign guest, one as the Chinese host, and one as the waiter or waitress. You may start like this:? EXAMPLE? A: I really love spicy food, so what dish would you recommend?? B: I suggest Mapo tofu.? A: Really ? what's that?
新人教版高中英語(yǔ)選修2Unit 2 Learning about Language教學(xué)設(shè)計(jì)
The activity theme of this section is to design various activities around the key words in the first text. Therefore, the activities require students to pay attention to the spelling of words. On the other hand, let students grasp the meaning of words more accurately through sentences and short texts. This kind of teaching design also helps to improve the ability of using English thinking.1. Cultivating students' ability to use word formation to induce and memorize vocabulary, and the ability to use lexical chunks to express meaning.2. Guide the students to think independently and use the correct form of words to complete sentences3. Cultivate students' habit of using lexical chunks to express language completely, guide students to draw words in sentences quickly, pay attention to word collocation, so as to accumulate more authentic expressions4. Instruct students to create sentences with the chunks.1. Enable students to use the language points in the real situation or specific contexts flexibly and appropriately.2. Guiding the Ss to use unit topic words and the sentence patterns in a richer context.Step1: Think of a word that best fits each definition.1. to remember sth2.to accept, admit, or recognize sth or the truth/existence of sth3. the process of changing sth or yourself to suit a new situation4 .to make sb feel less worried or unhappy5. a strong desire to achieve sth
新人教版高中英語(yǔ)選修2Unit 2 Reading for writing教學(xué)設(shè)計(jì)
The theme of this section is to express people's views on studying abroad. With the continuous development of Chinese economic construction, especially the general improvement of people's living standards, the number of Chinese students studying abroad at their own expense is on the rise. Many students and parents turn their attention to the world and regard studying abroad as an effective way to improve their quality, broaden their horizons and master the world's advanced scientific knowledge, which is very important for the fever of going abroad. Studying abroad is also an important decision made by a family for their children. Therefore, it is of great social significance to discuss this issue. The theme of this section is the column discussion in the newspaper: the advantages and disadvantages of studying abroad. The discourse is about two parents' contribution letters on this issue. They respectively express their own positions. One thinks that the disadvantages outweigh the advantages, and the other thinks that the advantages outweigh the disadvantages. The two parents' arguments are well founded and logical. It is worth noting that the two authors do not express their views on studying abroad from an individual point of view, but from a national or even global point of view. These two articles have the characteristics of both letters and argumentative essays1.Guide the students to read these two articles, and understand the author's point of view and argument ideas2.Help the students to summarize the structure and writing methods of argumentative writing, and guides students to correctly understand the advantages and disadvantages of studying abroad3.Cultivate students' ability to analyze problems objectively, comprehensively and deeply
新人教版高中英語(yǔ)選修2Unit 2 Using langauge-Listening教學(xué)設(shè)計(jì)
? B: Absolutely! Getting involved with Chinese cultural activities there definitely helped a lot. I got to practice my Chinese on a daily basis, and I could learn how native Chinese speakers spoke.? A: What do you feel is your biggest achievement?? B: Learning Chinese characters! I have learnt about 1,500 so far. When I first started, I didn't think it was even going to be possible to learn so many, but now I find that I can read signs, menus, and even some easy newspaper articles.? A: What are you most keen on?? B: I've really become keen on learning more about the Chinese culture, in particular Chinese calligraphy. As I have learnt Chinese characters, I have developed a great appreciation for their meaning. I want to explore Chinese characters by learning how to write them in a more beautiful way. ? A: Finally, what do you want to say to anyone interested in learning Chinese?? I have really become keen on learning more about the Chinese culture, in particular Chinese Calligraphy. As I have learnt Chinese character, I have developed a great appreciation for their meaning. I want to explore Chinese characters by learning how to write them in a more beautiful way.? A: Finally, what do you want to say to anyone interested in learning Chinese?? B: I'd say, give it a shot! While some aspects may be difficult, it is quite rewarding and you will be happy that you tried.? A: Thanks for your time. ? B:You're welcome.
新人教版高中英語(yǔ)選修2Unit 4 Learning about Language教學(xué)設(shè)計(jì)
This section guides students to pay attention to the typical context of vocabulary use, helps students accumulate vocabulary around the key vocabulary of this unit, and uses the learned words and word chunks in different contexts to deeply understand their meaning and usage, so as to achieve the purpose of review and consolidation.The teaching design activities aim to guide students to pay attention to the typical context in which the target vocabulary is used, as well as the common vocabulary used in collocation, so that students can complete the sentence with correct words. In terms of vocabulary learning strategies, this unit focuses on cultivating students' ability to pay attention to collocation of words and to use word blocks to express meaning.For vocabulary learning, it is not enough just to know the meaning of a single word, but the most important thing is to master the common collocations of words, namely word blocks.Teachers should timely guide students to summarize common vocabulary collocation, such as verb and noun collocation, verb and preposition collocation, preposition and noun collocation, and so on.1. Guide students to understand and consolidate the meaning and usage of the vocabulary in the context, 2. Guide the students to use the unit topic vocabulary in a richer context3. Let the students sort out and accumulate the accumulated vocabulary, establishes the semantic connection between the vocabulary,4. Enable students to understand and master the vocabulary more effectivelyGuiding the Ss to use unit topic words and the sentence patterns in a richer context.
新人教版高中英語(yǔ)選修2Unit 4 Reading for writing教學(xué)設(shè)計(jì)
假定你是英國(guó)的Jack，打算來(lái)中國(guó)旅行，請(qǐng)你給你的中國(guó)筆友李華寫一封信，要點(diǎn)如下：1．你的旅行計(jì)劃：北京→泰山→杭州；2．征求建議并詢問(wèn)他是否愿意充當(dāng)你的導(dǎo)游。注意：1.詞數(shù)80左右(開(kāi)頭和結(jié)尾已給出，不計(jì)入總詞數(shù))；2．可以適當(dāng)增加細(xì)節(jié)，以使行文連貫。參考詞匯：故宮 the Forbidden City；泰山 Mount TaiDear Li Hua，I'm glad to tell you that 'm going to visit China.First，I am planning to visit Beijing，the capitalof China，where I am looking forward to enjoying the Great Wall，the Forbidden City and somebeautiful parks.Then I intend to go to visit Mount Tai in Shandong Province.I've heard that it is one ofthe most famous mountains in China and I can't wait to enjoy the amazing sunrise there.After that，I amalso going to Hangzhou.It is said that it is a beautiful modern city with breathtaking natural sights，among which the West Lake is a well- known tourist attraction.What do you think of my travel plan? Will you act as my guide? Hope to hear from you soon.
