本節(jié)課是新版教材人教A版普通高中課程標(biāo)準(zhǔn)實(shí)驗(yàn)教科書(shū)數(shù)學(xué)必修1第四章第4.3.2節(jié)《對(duì)數(shù)的運(yùn)算》。其核心是弄清楚對(duì)數(shù)的定義,掌握對(duì)數(shù)的運(yùn)算性質(zhì),理解它的關(guān)鍵就是通過(guò)實(shí)例使學(xué)生認(rèn)識(shí)對(duì)數(shù)式與指數(shù)式的關(guān)系,分析得出對(duì)數(shù)的概念及對(duì)數(shù)式與指數(shù)式的 互化,通過(guò)實(shí)例推導(dǎo)對(duì)數(shù)的運(yùn)算性質(zhì)。由于它還與后續(xù)很多內(nèi)容,比如對(duì)數(shù)函數(shù)及其性質(zhì),這也是高考必考內(nèi)容之一,所以在本學(xué)科有著很重要的地位。解決重點(diǎn)的關(guān)鍵是抓住對(duì)數(shù)的概念、并讓學(xué)生掌握對(duì)數(shù)式與指數(shù)式的互化;通過(guò)實(shí)例推導(dǎo)對(duì)數(shù)的運(yùn)算性質(zhì),讓學(xué)生準(zhǔn)確地運(yùn)用對(duì)數(shù)運(yùn)算性質(zhì)進(jìn)行運(yùn)算,學(xué)會(huì)運(yùn)用換底公式。培養(yǎng)學(xué)生數(shù)學(xué)運(yùn)算、數(shù)學(xué)抽象、邏輯推理和數(shù)學(xué)建模的核心素養(yǎng)。1、理解對(duì)數(shù)的概念,能進(jìn)行指數(shù)式與對(duì)數(shù)式的互化;2、了解常用對(duì)數(shù)與自然對(duì)數(shù)的意義,理解對(duì)數(shù)恒等式并能運(yùn)用于有關(guān)對(duì)數(shù)計(jì)算。
三、第四季度工作計(jì)劃(一)聚焦文明創(chuàng)建,深入開(kāi)展市容管理工作以爭(zhēng)創(chuàng)全國(guó)文明城市為抓手,認(rèn)真落實(shí)網(wǎng)格管理長(zhǎng)效機(jī)制,進(jìn)一步細(xì)化示范街、嚴(yán)禁區(qū)、嚴(yán)管區(qū)、嚴(yán)控區(qū)等市容管理標(biāo)準(zhǔn),高起點(diǎn)規(guī)劃、高標(biāo)準(zhǔn)管理,持續(xù)開(kāi)展“8整治3提升”專(zhuān)項(xiàng)行動(dòng),深入推進(jìn)“門(mén)責(zé)制”,打造社會(huì)環(huán)境共治共管模式,集中整治空中管線(xiàn)、停車(chē)秩序、戶(hù)外構(gòu)筑物等影響市容秩序的行為,常態(tài)化對(duì)全區(qū)露天燒烤和餐飲油煙直排情況進(jìn)行排查,科學(xué)規(guī)劃管理夜間燒烤,助力地?cái)偨?jīng)濟(jì);對(duì)建設(shè)工地嚴(yán)格落實(shí)“六個(gè)100%”管理標(biāo)準(zhǔn),持續(xù)加強(qiáng)建筑渣土的運(yùn)輸管理;11月底前完成示范小區(qū)X小區(qū)、X空中管線(xiàn)改造,確保市容整潔有序。(二)聚焦創(chuàng)衛(wèi)工作,全面提升城鄉(xiāng)人居環(huán)境堅(jiān)持“深度清潔、以克論凈”考核標(biāo)準(zhǔn),進(jìn)一步完善考核和督查檢查制度,強(qiáng)化督查考核力度,從源頭抓問(wèn)題排查,夯實(shí)城市環(huán)境基礎(chǔ)。進(jìn)一步細(xì)化清掃保潔、垃圾收運(yùn)管理標(biāo)準(zhǔn),提高保潔作業(yè)質(zhì)量和效能。
(二)聚焦創(chuàng)衛(wèi)工作,全面提升城鄉(xiāng)人居環(huán)境堅(jiān)持“深度清潔、以克論凈”考核標(biāo)準(zhǔn),進(jìn)一步完善考核和督查檢查制度,強(qiáng)化督查考核力度,從源頭抓問(wèn)題排查,夯實(shí)城市環(huán)境基礎(chǔ)。進(jìn)一步細(xì)化清掃保潔、垃圾收運(yùn)管理標(biāo)準(zhǔn),提高保潔作業(yè)質(zhì)量和效能。持續(xù)開(kāi)展深度清潔提升行動(dòng),提升城區(qū)道路清掃保潔質(zhì)量;注重垃圾源頭減量治理,強(qiáng)化基礎(chǔ)設(shè)施建設(shè),鞏固提升城區(qū)生活垃圾分類(lèi)全覆蓋成果,實(shí)現(xiàn)生活垃圾無(wú)害化處置率100%。持續(xù)開(kāi)展公園廣場(chǎng)、景區(qū)景點(diǎn)、交通場(chǎng)站、文體設(shè)施、商業(yè)大街、商貿(mào)綜合體等重點(diǎn)區(qū)域精細(xì)化保潔行動(dòng),推動(dòng)“席地而坐”城市客廳示范區(qū)建設(shè),全力打造“最干凈城市”。(三)聚焦為民服務(wù),提升群眾工作滿(mǎn)意度創(chuàng)新“城管進(jìn)社區(qū)”工作,了解民情、關(guān)注民生、解決民需,開(kāi)展“我為群眾辦實(shí)事”活動(dòng),緊盯群眾“急難愁盼”,全力辦好群眾身邊小事。
(三)聚力文化產(chǎn)業(yè)轉(zhuǎn)型升級(jí)。一是抓好市場(chǎng)主體培育。摸排在庫(kù)企業(yè),指導(dǎo)規(guī)上(限上)文化企業(yè)營(yíng)業(yè)收入上報(bào),對(duì)照工業(yè)企業(yè)、商貿(mào)企業(yè)、服務(wù)業(yè)規(guī)上(限上)企業(yè)標(biāo)準(zhǔn),對(duì)收入情況進(jìn)行分析研判,對(duì)營(yíng)業(yè)收入、產(chǎn)值下降的企業(yè),詳細(xì)了解企業(yè)困難,幫助協(xié)調(diào)解決問(wèn)題。二是抓好文化產(chǎn)業(yè)品牌創(chuàng)建。深度挖掘狼山黑陶等具有XXX特色的非遺項(xiàng)目?jī)?nèi)涵,鼓勵(lì)扶持相關(guān)演藝娛樂(lè)業(yè)、傳統(tǒng)手工藝制作、出版影視業(yè)、文化產(chǎn)品數(shù)字制作與相關(guān)服務(wù)業(yè)等產(chǎn)業(yè)發(fā)展,加快印刷圖書(shū)、報(bào)刊、電影、電視等資源整合、產(chǎn)業(yè)融合,培育一批文化類(lèi)骨干企業(yè)。三是全力以赴抓好招商引資。充分利用文旅招商專(zhuān)班,摸排出全國(guó)大型文化類(lèi)企業(yè)、高新技術(shù)企業(yè)、數(shù)字創(chuàng)意產(chǎn)業(yè)前50強(qiáng),明確重點(diǎn),盯住不放,努力吸引一批產(chǎn)業(yè)帶動(dòng)強(qiáng)的文化企業(yè)在XXX落地建設(shè)。
第二周?chē)?guó)旗下講話(huà)稿:新學(xué)期新征程新的學(xué)期開(kāi)始了,我們又踏上了前進(jìn)的征程,無(wú)論前途是多么艱難,只要我xx一中人滿(mǎn)懷激情與夢(mèng)想,就一定會(huì)有更完美的收獲,相信在16年的聯(lián)考與高考上,我們還會(huì)更上層樓。站在國(guó)旗下,我的心久久不能平靜,我在思考,一中給老師同學(xué)們的是什么?是這浮滿(mǎn)塵土的操場(chǎng),是那簡(jiǎn)陋的宿舍,還是那冬天都下雨的辦公室?都不是,xx一中給大家的是永不服輸?shù)挠職?,不怕艱難困苦的決心,是敢于亮劍,勇于負(fù)責(zé)的霸氣,相信在困苦的磨練下的一中人,越來(lái)越強(qiáng),越來(lái)越棒!老師們,優(yōu)秀的教師一輩子都在備課,我校雖然在集智備課上快人一步,領(lǐng)先于其他學(xué)校,但也要認(rèn)識(shí)到不足之處,深入研究,在方法與積累上多下功夫,穩(wěn)穩(wěn)抓住課堂這一中心,創(chuàng)新拼搏。“天道酬勤”“苦心人天不負(fù)”,相信有你們的辛苦奉獻(xiàn),xx一中明天會(huì)更好!新學(xué)期讓我由衷的代表學(xué)校說(shuō)一句“親愛(ài)的老師,您辛苦了”。有一句話(huà)說(shuō)得好,“做最好的自己,才能碰撞出最好的別人”希望我們每位老師無(wú)論是在家庭還是學(xué)校里,始終用最好的自己去感染你的親人和學(xué)生,樂(lè)觀向上,幸福健康。
1、下個(gè)季度的工作主要有:4月份籌備粵菜美食節(jié),4月份籌備清明節(jié),4月份總店店慶。這三項(xiàng)工作是我們下個(gè)季度的工作重點(diǎn),我們會(huì)吸取上個(gè)季度的教訓(xùn)做好工作,提高這個(gè)季度的目標(biāo)營(yíng)業(yè)額?! ?、維護(hù)好客戶(hù)是重中之重,對(duì)我們酒店提出批評(píng)以及建議的客戶(hù)給與一定的優(yōu)惠并向其表示感謝。以表現(xiàn)我們酒店對(duì)客戶(hù)的重視?! ?、在維護(hù)好老顧客的前提下開(kāi)發(fā)新客源是必要的,這樣才可以使我們酒店達(dá)到目標(biāo)營(yíng)業(yè)額提供保障。 4、通過(guò)召開(kāi)客戶(hù)懇談會(huì),與新老客戶(hù)面對(duì)面的溝通,加深一下彼此的印象,每當(dāng)會(huì)議或團(tuán)隊(duì)客人進(jìn)店后,我們盡可能進(jìn)行全過(guò)程仔細(xì)、靈活的跟蹤服務(wù),主動(dòng)向客人征求意見(jiàn),并及時(shí)把聽(tīng)到的意見(jiàn)反饋給各部門(mén),盡量滿(mǎn)足不同客人的需求。
(一)平安森林。持續(xù)開(kāi)展xx省級(jí)自然保護(hù)區(qū)xx段每日巡護(hù)巡查,穩(wěn)步推進(jìn)新洲省級(jí)濕地自然公園創(chuàng)建工作。當(dāng)前新洲濕地自然公園已通過(guò)省林業(yè)局專(zhuān)家評(píng)審認(rèn)證,并啟動(dòng)現(xiàn)場(chǎng)勘界立標(biāo)施工。落實(shí)野生動(dòng)植物保護(hù)工作,與國(guó)元保險(xiǎn)公司續(xù)簽保險(xiǎn)合同進(jìn)一步完善野生動(dòng)物傷害補(bǔ)償機(jī)制。加強(qiáng)森林防火工作。完成了2018年以來(lái)土地整理項(xiàng)目毀林造地問(wèn)題排查整改。印發(fā)了《關(guān)于切實(shí)加強(qiáng)森林防火工作的緊急通知》(xx【2023】x號(hào))、《關(guān)于印發(fā)xx區(qū)森林火災(zāi)隱患排查和查處違規(guī)用火行為專(zhuān)項(xiàng)行動(dòng)實(shí)施方案的通知》(xx【2023】x號(hào)),會(huì)同區(qū)應(yīng)急局、區(qū)督考辦加強(qiáng)“三個(gè)一律”紀(jì)律和“防打保”十二條措施執(zhí)行情況督查巡查,完成了森林火災(zāi)風(fēng)險(xiǎn)普查和森林防火核心區(qū)低效林地改造項(xiàng)目建設(shè),本輪防火期全區(qū)未發(fā)生森林火災(zāi)。(二)健康森林。完成中央造林補(bǔ)貼人工造林年度任務(wù)xxxx畝,實(shí)施森林撫育xxxx畝(其中中央森林撫育xxxx畝),完成省級(jí)森林長(zhǎng)廊創(chuàng)建x公里,建成區(qū)綠化xxx畝。已通過(guò)購(gòu)買(mǎi)社會(huì)服務(wù)委托有資質(zhì)的第三方開(kāi)展美國(guó)白蛾監(jiān)測(cè)和預(yù)防工作。完成了陳冰冰同志自然資源資產(chǎn)離任審計(jì)涉及2017-2020年?duì)I造林問(wèn)題排查整改,完成了國(guó)土空間規(guī)劃造林綠化適宜性調(diào)查評(píng)估和2006年以來(lái)林業(yè)血防工程綜合效益評(píng)估等任務(wù)。
四.設(shè)計(jì)反思我在設(shè)計(jì)本課時(shí),希望通過(guò)情境的創(chuàng)設(shè)充分再現(xiàn)歷史,并利用多媒體輔助教學(xué),破重點(diǎn)、化難點(diǎn),讓學(xué)生主動(dòng)參與到學(xué)習(xí)過(guò)程中,從而突破狹小的教室空間,讓學(xué)生真正做到感知?dú)v史,立足現(xiàn)實(shí),展望未來(lái)。自主,交流、合作、探究是課程改革中著力倡導(dǎo)的新型學(xué)習(xí)方式。課堂教學(xué)中如何開(kāi)展小組合作的探究學(xué)習(xí)存在著很多困難,首先是課堂教學(xué)時(shí)間有限,如何體現(xiàn)面向全體,給每個(gè)學(xué)生以機(jī)會(huì)?再次,歷史問(wèn)題的討論只能依托于史料才能使討論不淪為空談,課堂上通過(guò)網(wǎng)絡(luò)提供大量的史料(文字、圖片或其他),勢(shì)必不能有充分時(shí)間讓學(xué)生閱讀分析。如何解決這些問(wèn)題呢?措施一:要形成較固定的歷史學(xué)習(xí)合作小組。選定一位同學(xué)擔(dān)任組長(zhǎng),負(fù)責(zé)協(xié)調(diào)措施二:要設(shè)置有利于學(xué)生探究的問(wèn)題情境措施三:要把課堂教學(xué)與課外學(xué)習(xí)結(jié)合起來(lái)。在課前就印發(fā)相關(guān)的材料,或引導(dǎo)學(xué)生去查閱相關(guān)的資料,讓學(xué)生有個(gè)充分的閱讀、思考、交流的時(shí)間,是保證課堂上小組交流能成功實(shí)現(xiàn)的一個(gè)前提
3、評(píng):以評(píng)促行。(6分鐘)高中生的年齡特點(diǎn)決定了他們非常重視別人對(duì)自己的評(píng)價(jià),渴望得到他人的肯定與鼓勵(lì)。(所以我在班上組織一個(gè)活動(dòng):讓同學(xué)們?cè)u(píng)選出班上“講文明懂禮貌的文明之星”、“勤思考善創(chuàng)新的學(xué)習(xí)之星”(先讓同學(xué)推舉大家都認(rèn)同的4位同學(xué),然后對(duì)他們進(jìn)行投票,投票結(jié)果將在下堂課上公布)以此活動(dòng)來(lái)激發(fā)同學(xué)們用實(shí)際行動(dòng)做民族精神的踐行者和傳播者。)4、唱:以情激行。(2分鐘)在課程內(nèi)容講授結(jié)完畢后,組織全班同學(xué)跟著音樂(lè)高唱孫楠的《紅旗飄飄》,生化情感,激發(fā)同學(xué)們的愛(ài)國(guó)情感。五、課堂拓展(請(qǐng)同學(xué)們各展才華:課后讓同學(xué)們各自準(zhǔn)備一個(gè)項(xiàng)目以體現(xiàn)民族精神。(項(xiàng)目形式是:或作文、書(shū)畫(huà);或剪紙、或歌曲小品)……讓同學(xué)們用實(shí)際行動(dòng)祝愿我們偉大的祖國(guó)更加繁榮昌盛!讓我們的民族精神代代相傳!)
生2:每逢清明,或其他一些死者的紀(jì)念日,人們總要為死去的親人燒紙錢(qián)。這幅漫畫(huà)由燒紙錢(qián)演變?yōu)闊凹译姟?,說(shuō)明隨著社會(huì)環(huán)境的變化,人們根深蒂固的一些封建思想,還在影響著人們的生活。要花大力氣去破除封建迷信活動(dòng)。師:說(shuō)到底,算命、燒紙錢(qián)是封建迷信活動(dòng),從文化角度來(lái)說(shuō),是落后文化。我們一起來(lái)看看在現(xiàn)實(shí)生活中,還有哪些落后文化在影響著人們的生活。生1:在一些邊遠(yuǎn)落后地區(qū),大人小孩生了病,不是看醫(yī)生,而是讓巫婆神漢來(lái)治,結(jié)果往往耽誤了診療時(shí)間,有的甚至還丟掉了性命。生2:“重男輕女”“多子多?!?,紅白事大操大辦現(xiàn)象在有些地方還很?chē)?yán)重。師:這些落后文化都有哪些共同特征?在你看來(lái),這些現(xiàn)象有哪些危害?生3:這些落后文化,在內(nèi)容上帶有迷信、愚昧、頹廢、庸俗等色彩,在形式上常常以傳統(tǒng)習(xí)俗的形式表現(xiàn)出來(lái),如人們常見(jiàn)的看相、算命、測(cè)字、看風(fēng)水等。它會(huì)麻痹人的意志,使人消極、悲觀、絕望,對(duì)理想、前途、信念喪失信心;破壞社會(huì)的風(fēng)氣。
一、教材分析文化市場(chǎng)和大眾傳媒的發(fā)展,給我們的文化生活帶來(lái)了許多可喜的變化。但是,文化市場(chǎng)的自發(fā)性和傳媒的商業(yè)性也引發(fā)了令人憂(yōu)慮的現(xiàn)象。文化生活有“喜”也有“憂(yōu)”,讓我們歡喜讓我們憂(yōu)。面對(duì)形式多樣的文化生活,置身于文化生活的海洋之中,在文化生活中如何選擇、怎樣作出正確的選擇是亟待向?qū)W生解決的問(wèn)題。二、學(xué)情分析高二學(xué)生處于世界觀、人生觀和價(jià)值觀形成的關(guān)鍵時(shí)期,身心迅速發(fā)展,自我意識(shí)和獨(dú)立性較強(qiáng),社會(huì)公共生活空間范圍越來(lái)越大,并且開(kāi)始理性地思考社會(huì)和人生的重大問(wèn)題,他們可塑性強(qiáng),但情緒仍然不穩(wěn)定,有多變性,容易沖動(dòng)或偏激,迫切需要提升思想意識(shí),加強(qiáng)方法論的指導(dǎo),使其在紛繁復(fù)雜的文化生活中能夠進(jìn)行正確的判斷與選擇。如果我們的學(xué)生不能把握正確的航向,是非觀念模糊,良莠不分,就會(huì)陷入落后文化和腐朽文化的泥沼而不能自拔,甚至造成無(wú)法挽回的惡果。
2.送信。實(shí)物投影儀演示反饋。(1)方法說(shuō)明。你是怎么想的?(2)錯(cuò)誤糾正。分層校對(duì):做完的先互相批改,然后集體先校對(duì)丁當(dāng)組題,再校對(duì)一休組題。重點(diǎn)講評(píng)一休組題目。六、總結(jié)今天你有哪些收獲?(1)退位減法要注意什么?不要忘記退位。(2)退位減法的方法。為學(xué)生提供學(xué)習(xí)材料,讓學(xué)生通過(guò)活動(dòng)聯(lián)系生活實(shí)際學(xué)習(xí)新知,讓學(xué)生感受到數(shù)學(xué)源于生活,用于生活;采用分層教學(xué),整個(gè)學(xué)習(xí)過(guò)程都是學(xué)生在小組中合作研究、探索中完成的;然后通過(guò)多種形式的練習(xí)加以鞏固;注重學(xué)習(xí)過(guò)程的開(kāi)放;通過(guò)小組合作,培養(yǎng)學(xué)生善于發(fā)表自己的觀點(diǎn),會(huì)傾聽(tīng)同學(xué)的意見(jiàn)的能力。同時(shí)也培養(yǎng)學(xué)生學(xué)會(huì)提出問(wèn)題、解決問(wèn)題的能力。
四、課堂小結(jié)今天我們一起研究了什么問(wèn)題?板書(shū)課題:求一個(gè)數(shù)比另一個(gè)數(shù)多幾的應(yīng)用題解答這樣的問(wèn)題,應(yīng)該怎樣進(jìn)行分析?在老師的提問(wèn)下,學(xué)生回憶分析思路。最后,小結(jié)上課時(shí)男女學(xué)生小旗的情況,得出數(shù)目后問(wèn):你能根據(jù)今天學(xué)習(xí)的內(nèi)容提出問(wèn)題并列式計(jì)算嗎?教學(xué)反思:求一個(gè)數(shù)比另一個(gè)數(shù)多幾的應(yīng)用題,本節(jié)課屬于計(jì)算教學(xué)。傳統(tǒng)的計(jì)算教學(xué)往往只注重算理、單一的算法及技能訓(xùn)練,比較枯燥。依據(jù)新的數(shù)學(xué)課程標(biāo)準(zhǔn),在本節(jié)課的教學(xué)設(shè)計(jì)上,創(chuàng)設(shè)生動(dòng)具體的教學(xué)情境,使學(xué)生在愉悅的情景中學(xué)習(xí)數(shù)學(xué)知識(shí)。鼓勵(lì)學(xué)生獨(dú)立思考、自主探索和合作交流。尊重學(xué)生的個(gè)體差異,滿(mǎn)足多樣化的學(xué)習(xí)需求。 在課堂過(guò)程中,還有小部分學(xué)生不能充分地展開(kāi)自己的思維,得到有效的學(xué)習(xí)效果,讓所有的學(xué)生基本都學(xué)會(huì)如何去展現(xiàn)自己的有效的學(xué)習(xí)方式,這是我的教學(xué)目標(biāo)。
[設(shè)計(jì)意圖:鞏固減法的意義,培養(yǎng)學(xué)生初步的思維能力。](2)組織學(xué)生自己先算一算,教師巡視,捕捉學(xué)生學(xué)習(xí)信息,糾正不良學(xué)習(xí)習(xí)慣。[設(shè)計(jì)意圖:通過(guò)巡視,及時(shí)捕捉學(xué)生的學(xué)習(xí)信息,發(fā)現(xiàn)問(wèn)題及時(shí)解決;把培養(yǎng)學(xué)生良好的計(jì)算習(xí)慣、審題習(xí)慣及檢查習(xí)慣落到實(shí)處。](3)組織學(xué)生全班交流計(jì)算方法。組織學(xué)生在全班交流解決計(jì)算“32-2=”的方法,引導(dǎo)學(xué)生理解“32是由3個(gè)十和2個(gè)一組成,從32里去掉2,就剩3個(gè)十,所以32減2等于30”。如果學(xué)生用其他的方法來(lái)計(jì)算,只要正確,也要肯定。[設(shè)計(jì)意圖:同前面一樣,鞏固數(shù)的組成,訓(xùn)練每一個(gè)學(xué)生“述說(shuō)整十?dāng)?shù)加一位數(shù)相應(yīng)減法的計(jì)算過(guò)程”,突破難點(diǎn)。]3.加減法對(duì)比組織學(xué)生比較“30+2=32”和“32-2=30”,并說(shuō)一說(shuō)有什么發(fā)現(xiàn),使學(xué)生認(rèn)識(shí)到“3個(gè)十和2個(gè)一組成32,所以30加2等于32;反過(guò)來(lái),32是由3個(gè)十和2個(gè)一組成,從32里去掉2,就剩3個(gè)十,所以32減2等于30”[設(shè)計(jì)意圖:強(qiáng)化加減法意義的聯(lián)系,培養(yǎng)學(xué)生初步的思維能力。]
(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(xiàn)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(xiàn)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(xiàn)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(xiàn)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(xiàn)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(chēng)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(xiàn).從而入射光線(xiàn)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).
導(dǎo)語(yǔ)在必修第一冊(cè)中,我們研究了函數(shù)的單調(diào)性,并利用函數(shù)單調(diào)性等知識(shí),定性的研究了一次函數(shù)、指數(shù)函數(shù)、對(duì)數(shù)函數(shù)增長(zhǎng)速度的差異,知道“對(duì)數(shù)增長(zhǎng)” 是越來(lái)越慢的,“指數(shù)爆炸” 比“直線(xiàn)上升” 快得多,進(jìn)一步的能否精確定量的刻畫(huà)變化速度的快慢呢,下面我們就來(lái)研究這個(gè)問(wèn)題。新知探究問(wèn)題1 高臺(tái)跳水運(yùn)動(dòng)員的速度高臺(tái)跳水運(yùn)動(dòng)中,運(yùn)動(dòng)員在運(yùn)動(dòng)過(guò)程中的重心相對(duì)于水面的高度h(單位:m)與起跳后的時(shí)間t(單位:s)存在函數(shù)關(guān)系h(t)=-4.9t2+4.8t+11.如何描述用運(yùn)動(dòng)員從起跳到入水的過(guò)程中運(yùn)動(dòng)的快慢程度呢?直覺(jué)告訴我們,運(yùn)動(dòng)員從起跳到入水的過(guò)程中,在上升階段運(yùn)動(dòng)的越來(lái)越慢,在下降階段運(yùn)動(dòng)的越來(lái)越快,我們可以把整個(gè)運(yùn)動(dòng)時(shí)間段分成許多小段,用運(yùn)動(dòng)員在每段時(shí)間內(nèi)的平均速度v ?近似的描述它的運(yùn)動(dòng)狀態(tài)。
The topic of this part is “Discover the reasons for festivals and celebrations.The Listening & Speaking & Talking part aims at talking about the experiences and feelings or emotions about the festivals and celebrations. This section aims at detecting the reason why the people celebrate the festivals, the time, the places, the types and the way of celebrations. It also explains why some traditions in the old celebrations are disappearing, like the firecrackers in the big cities and some new things are appearing like the prosperity of business or commerce. 1. Students can talk about what festivals they know and the reasons and the way of celebrating them.2. Students should learn the reading skills such as the headline and get the topic sentences, the structures of articles.3. Students can understand the past, the present situation of some festival around the world and why there are some changes about them. 4. Students can have the international awareness about the festivals.1. Students should learn the reading skills such as the headline and get the topic sentences, the structures of articles.2. Students can understand the past, the present situation of some festival around the world and why there are some changes about them.Step 1 Lead in---Small talkWhat festival do you like best ? Why ?I like the Spring Festivals because I can set off the fireworks, receive the lucky money and enjoy the Gala with my families.Step 2 Before reading---Pair workWhy do people celebrate different festivals ?The Spring Festivals is to celebrate the end of winter and the coming of spring and new life.The Mid-autumn Day is to celebrate the harvest and admire the moon.
The theme of this section is “Talk about festival activities and festival experiences”.Festival and holiday is a relaxing and interesting topic for students. This part talks about the topic from the daily life of students’. In the part A ---Listening and Speaking, there are three conversations among different speakers from three countries(Japan, Rio and China), where the speakers are participating in or going to participate in the festivals and celebrations. So listening for the relationship among them is a fundamental task. Actually, with the globalization and more international communication, it is normal for Chinese or foreigners to witness different festivals and celebrations in or out of China. In the Conversation 1, a foreign reporter is interviewing a Japanese young girl who just had participated in the ceremony of the Coming-of-Age Day on the street and asking her feeling about the ceremony and the afterwards activities. Conversation 2, Chinese girl Li Mei is witnessing the Rio Carnival for the first time, and her friend Carla gives her some advice on the costumes which enables her to match with the carnival to have a good time. Conversation 3, a Chinese guide is showing a group of foreign visitors around the Lantern Festival and introducing the customs of the festival to them. The three conversations have a strong vitality and insert the festival and cultural elements from different countries. So perceiving the festivals and cultures from different countries is the second task. At the same time, the scripts also insert the targeted grammar --- v-ing as attributive and predicative, which students can perceive and experience in a real context and make a road for the further study. That is the third task. In the Part B--- Listening and Talking, the theme is “Talk about festival experience”, which is the common topic in our daily conversations. During the conversation, Song Lin, a Chinese student, asked Canadian friend Max about how to spend Christmas. In the conversation, Song Lin talked about experience and the feelings during the Chinese Spring Festival, during which there are not only some enjoyable things but some unpleasant things. After the listening, perhaps students find there are some similarities between Christmas and the Chinese Spring Festival as there are some differences in the origins and celebrations. For example, people always visit friends and relatives, decorate their houses, have a big dinner together, chat and give presents to each other.
The theme of the section is “Describe space facts and efforts to explore space”. Infinitives are one of non-finite verbs, as the subjects, objects, predicative, attributes and adverbials. This unit is about space exploration, which is a significant scientific activity, so every scientific activity has strong planning. Therefore, using the infinitives to show its purpose, explanations or restrictions is the best choice.1. Learn the structure, functions and features of infinitives.2. Learn to summarize some rules about infinitives to show purpose and modify.3. Learn to use infinitives in oral and writing English. 1. Learn the structure, functions and features of infinitives.2. Learn to summarize some rules about infinitives to show purpose and modify.3. Learn to use use infinitives in oral and writing English.Step 1 Lead in---Pair workLook at the following sentences and focus on the italicized infinitives. In pairs, discuss their functions. 1. I trained for a long time to fly airplanes as a fighter pilot..(作目的狀語(yǔ))2. As we all know, an astronaut needs to be healthy and calm in order to work in space..(作目的狀語(yǔ))3. First of all, you must be intelligent enough to get a related college degree..(作目的狀語(yǔ))4. Some scientist were determined to help humans realise their dream to explore space..(作定語(yǔ))5. On 12 April 1961, Yuri Gagarin became the first person in the world to go into space..(作定語(yǔ))Summary:1. 不定式的結(jié)構(gòu):to+do原形。2. 分析上面的句子,我們知道在描述太空探索時(shí),動(dòng)詞不定式不僅可以用來(lái)表目的,還可以用來(lái)作定語(yǔ),表修飾。
Q4: What is the function of the International exploration ?Having astronauts from different countries on boardQ5: What can you learn from Para 4 ?China has made great achievements in exploring spaceQ6: What is the attitude to the space exploration ?SupportiveStep 6 Post reading---RetellPeople have always wanted to learn more about space. Before the mid-20th century, most people felt (1)_________ (travel) into space was an impossible dream. However, (2)____ the help of scientists, peoplesucceeded in realizing their dream (3) _________ (explore) space. On 4 October 1957, the Sputnik 1 satellite (4) ____________(launch) by the USSR. (5) ________________ scientists try to make sure nothing goes wrong, accidents can still happen. These disasters made everyone(6)___________(disappoint), but people still believe in the importance of (7) ________(carry) on space exploration. In 2003, China became the third country to (8)_____________ (independent) send humans into space. Then Shenzhou 6 and 7 completed (9)____ second manned orbit and the first Chinese spacewalk. In spite of the difficulties, scientists hope future (10)__________ (discovery) will not only enable us to understand the universe but also help us survive well into the future.Answers: 1. travelling 2. with 3. to explore 4. was launched 5. Although6. disappointed 7. carrying 8. independently 9. a 10. discoveriesStep 6 Post reading---Critical thinkingQ1: What do you think of the space exploration ? I think it is beneficial to us. Through further study of space, people will make full use of it in the future, such as the space experiments by Wang Yaping in Tian Gong 1.Q2: If you are determined to be an astronaut, what should you prepare at present ?First of all, I should study hard to get a related college degree. Besides, I must keep mental and physical healthy.Step 7. HomeworkTry to summarize the structure of the article by a mind map.