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新人教版高中英語選修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．征求建議并詢問他是否愿意充當(dāng)你的導(dǎo)游。注意：1.詞數(shù)80左右(開頭和結(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.
新人教版高中英語選修2Unit 4 Using langauge-Listening教學(xué)設(shè)計(jì)
The theme of the listening section is " talking about scenery and culture along a journey."The part is designed to further lead the students to understand Canadian natural geography and social environment, and integrated into the cultural contrast by mentioning the long train journey from Beijing to Moscow routes. On this basis, the part activates students related travel experience, lets the student serial dialogue, guides the student to explore further the pleasure and meaning of the long journey, and Chinese and foreign cultural comparison.The part also provides a framework for the continuation of the dialogue, which is designed to provide a framework for students to successfully complete their oral expressions, and to incorporate an important trading strategy to end the dialogue naturally.1. Help students to understand and master some common English idioms in the context, and experience the expression effect of English idioms.2. Guide the students to understand the identity of different people in the listening context, and finish the dialogue according to their own experience.3. Instruct the students to use appropriate language to express surprise and curiosity about space and place in the dialogue, and master the oral strategy of ending the dialogue naturally.1. Instruct students to grasp the key information and important details of the dialogue.2. Instruct students to conduct a similar talk on the relevant topic.
新人教版高中英語選修2Unit 5 Learning about Language教學(xué)設(shè)計(jì)
The purpose of this section of vocabulary exercises is to consolidate the key words in the first part of the reading text, let the students write the words according to the English definition, and focus on the detection of the meaning and spelling of the new words. The teaching design includes use English definition to explain words, which is conducive to improving students' interest in vocabulary learning, cultivating their sense of English language and thinking in English, and making students willing to use this method to better grasp the meaning of words, expand their vocabulary, and improve their ability of vocabulary application. Besides, the design offers more context including sentences and short passage for students to practice words flexibly.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.Step1: Read the passage about chemical burns and fill in the blanks with the correct forms of the words in the box.
新人教版高中英語選修2Unit 5 Reading and thinking教學(xué)設(shè)計(jì)
The theme of this activity is to learn the first aid knowledge of burns. Burns is common in life, but there are some misunderstandings in manual treatment. This activity provides students with correct first aid methods, so as not to take them for granted in an emergency. This section guides students to analyze the causes of scald and help students avoid such things. From the perspective of text structure and collaborative features, the text is expository. Expository, with explanation as the main way of expression, transmits knowledge and information to readers by analyzing concepts and elaborating examples. This text arranges the information in logical order, clearly presents three parts of the content through the subtitle, accurately describes the causes, types, characteristics and first aid measures of burns, and some paragraphs use topic sentences to summarize the main idea, and the level is very clear.1. Guide students to understand the causes, types, characteristics and first aid methods of burns, through reading2. Enhance students’ ability to deal withburnss and their awareness of burns prevention3. Enable students to improve the ability to judge the types of texts accurately and to master the characteristics and writing techniques of expository texts.Guide students to understand the causes, types, characteristics and first aid methods of burns, through readingStep1: Lead in by discussing the related topic:1. What first-aid techniques do you know of ?CPR; mouth to mouth artificial respiration; the Heimlich Manoeuvre
新人教版高中英語選修2Unit 5 Using langauge-Listening教學(xué)設(shè)計(jì)
The theme of this section is to learn how to make emergency calls. Students should learn how to make emergency calls not only in China, but also in foreign countries in English, so that they can be prepared for future situations outside the home.The emergency telephone number is a vital hotline, which should be the most clear, rapid and effective communication with the acute operator.This section helps students to understand the emergency calls in some countries and the precautions for making emergency calls. Through the study of this section, students can accumulate common expressions and sentence patterns in this context. 1.Help students accumulate emergency telephone numbers in different countries and learn more about first aid2.Guide the students to understand the contents and instructions of the telephone, grasp the characteristics of the emergency telephone and the requirements of the emergency telephone.3.Guide students to understand the first aid instructions of the operators.4.Enable Ss to make simulated emergency calls with their partners in the language they have learned1. Instruct students to grasp the key information and important details of the dialogue.2. Instruct students to conduct a similar talk on the relevant topic.Step1:Look and discuss:Match the pictures below to the medical emergencies, and then discuss the questions in groups.
九年級(jí)上冊(cè)道德與法治富強(qiáng)與創(chuàng)新5作業(yè)設(shè)計(jì)
(2) 廈門經(jīng)濟(jì)特區(qū)成立40年來，在各項(xiàng)事業(yè)上都實(shí)現(xiàn)歷史性跨越和突破， 為國(guó)家建設(shè)做出重要貢獻(xiàn)。 廈門的發(fā)展表明當(dāng)代中國(guó)最鮮明的特色是( )A.創(chuàng)新發(fā)展 B.經(jīng)濟(jì)建設(shè) C.可持續(xù)發(fā)展 D.改革開放(3) 下列選擇中，有利于解決我國(guó)當(dāng)前社會(huì)主要矛盾的是( )①以經(jīng)濟(jì)建設(shè)為中心，解放發(fā)展生產(chǎn)力②堅(jiān)持全面深化改革，實(shí)施創(chuàng)新驅(qū)動(dòng)發(fā)展③推進(jìn)城鄉(xiāng)一體化發(fā)展，實(shí)現(xiàn)區(qū)域同步發(fā)展④兜住民生底線、補(bǔ)齊民生短板、辦好民生實(shí)事A.①②③ B.①②④ C.①③④ D.②③④(4) 2021是 “十四五” 的開局之年。這一年，我國(guó)的戰(zhàn)略科技力量發(fā)展加 快，改革開放推向縱深，民生得到有力和有效的保障，生態(tài)文明建設(shè)持續(xù)推進(jìn)，┉┉ 。下列時(shí)事與此描述相符合的有 ( )①舉行第四屆中國(guó)國(guó)際進(jìn)口博覽會(huì)②退休人員的基本養(yǎng)老金實(shí)現(xiàn)17連漲③正式提出2030碳達(dá)峰和2060碳中和戰(zhàn)略目標(biāo)④成功舉辦24屆北京冬奧會(huì)和13屆北京冬殘奧會(huì)A.①②③ B.①②④ C.①③④ D.②③④A.治國(guó)有常，而利民為本 B.民相親在于心相通C.君遠(yuǎn)相知，不道云海深 D.人而無信，不知其可也
九年級(jí)上冊(cè)道德與法治富強(qiáng)與創(chuàng)新2作業(yè)設(shè)計(jì)
【作業(yè)分析】本題考查創(chuàng)新改變生活。防雨神器自動(dòng)收晾衣服的靈感來源是下 雨忘記收衣服被批評(píng)，體現(xiàn)創(chuàng)新是來源于生活、來源于實(shí)踐?！爸悄芮缬昱铩贝?破了傳統(tǒng)的只能晾衣服的常規(guī)。而由教材內(nèi)容可知，創(chuàng)新是改革開放的生命， 改革在不斷創(chuàng)新中提升發(fā)展品質(zhì)，所以②錯(cuò)誤；故本題選 C2. (改編) 利用“安康碼”自動(dòng)定位，即可監(jiān)測(cè)附近新冠肺炎感染病例發(fā)病點(diǎn)； 通過輸入自己的手機(jī)號(hào)碼，即可通過“通信大數(shù)據(jù)卡”判斷自己是否到訪過高 危地區(qū)；通過皖事通 APP“密接人員自查”即可查詢自己是否曾與新冠肺炎感染 患者接觸……疫情發(fā)生以來，大數(shù)據(jù)、健康碼、無人機(jī)、機(jī)器人、測(cè)溫儀等眾 多科技創(chuàng)新成果紛紛登場(chǎng)，助力疫情防控，提高了抗擊疫情的精準(zhǔn)化水平。這 表明 ( )①標(biāo)志著我國(guó)已經(jīng)成為科技強(qiáng)國(guó)②實(shí)施創(chuàng)新驅(qū)動(dòng)發(fā)展戰(zhàn)略成效顯著③創(chuàng)新應(yīng)成為國(guó)家發(fā)展進(jìn)步的中心工作④創(chuàng)新的目的是增進(jìn)人類福祉，讓生活更美好A.①② B.②③ C.①④ D.②④【評(píng)價(jià)實(shí)施主體】教師【評(píng)價(jià)標(biāo)準(zhǔn)】D【作業(yè)分析】本題考查科技創(chuàng)新改變生活中創(chuàng)新的重要性。我國(guó)現(xiàn)在還不是科 技強(qiáng)國(guó)，但科技自主創(chuàng)新能力不斷增強(qiáng)，所以①說法錯(cuò)誤。
九年級(jí)上冊(cè)道德與法治富強(qiáng)與創(chuàng)新3作業(yè)設(shè)計(jì)
總體評(píng)價(jià)結(jié)果： 。(四)作業(yè)分析與設(shè)計(jì)意圖這是一項(xiàng)基于素質(zhì)教育導(dǎo)向，以培育學(xué)生課程核心素養(yǎng)為目標(biāo)的整課時(shí)作業(yè)設(shè)計(jì)。第一題作業(yè)以連線題的方式呈現(xiàn)。學(xué)生通過連線題掌握必備基礎(chǔ)知識(shí)，完成教材知識(shí)的 整理和分析。第二題作業(yè)以演講提綱的方式呈現(xiàn)。通過該題業(yè)設(shè)計(jì)與實(shí)施，引導(dǎo)學(xué)生了解中國(guó)科技創(chuàng) 新的現(xiàn)狀，感受自主創(chuàng)新的重要性，探究如何為建設(shè)創(chuàng)新型國(guó)家而努力。引導(dǎo)同學(xué)們知道國(guó) 家的創(chuàng)新青少年責(zé)無旁貸，增強(qiáng)為國(guó)家創(chuàng)新做貢獻(xiàn)的責(zé)任感和使命感，增強(qiáng)民族自尊心和自 豪感，增強(qiáng)政治認(rèn)同。六、單元質(zhì)量檢測(cè)( 一) 單元質(zhì)量檢測(cè)內(nèi)容1.單項(xiàng)選擇題(1)要弘揚(yáng)改革創(chuàng)新精神，推動(dòng)思想再解放、改革再深入、工作再抓實(shí)，凝聚起全面深化 改革的強(qiáng)大力量，在新起點(diǎn)上實(shí)現(xiàn)新突破。下列關(guān)于改革開放的認(rèn)識(shí)正確的有 ( )①改革開放是強(qiáng)國(guó)之路②改革開放推動(dòng)了全世界的發(fā)展③改革開放解決了當(dāng)前中國(guó)的一切問題
九年級(jí)上冊(cè)道德與法治富強(qiáng)與創(chuàng)新4作業(yè)設(shè)計(jì)
4.2021 年是我國(guó)航天事業(yè)創(chuàng)建 65 周年，也是收獲滿滿的一年，從“兩彈一星”到“神舟” 載人，從“北斗”指路到“嫦娥”奔月、“天問”探火，從無人飛行到載人飛行，從艙內(nèi) 實(shí)驗(yàn)到太空行走，從太空短期停留到中長(zhǎng)期駐留……這說明 ( )①我國(guó)科技發(fā)展水平總體較高②我國(guó)綜合國(guó)力和自主創(chuàng)新能力不斷增強(qiáng)③我國(guó)實(shí)行科教興國(guó)戰(zhàn)略取得了顯著成效④我國(guó)科技在某些尖端領(lǐng)域居于世界領(lǐng)先地位A.①②③ B.①②④ C.①③④ D.②③④5.中國(guó)工程院院士張伯禮在講述他赴武漢抗疫故事時(shí)這樣感慨：“科學(xué)研究是一個(gè)養(yǎng)兵千日、 用兵一時(shí)的創(chuàng)新事業(yè)?！眹@疫苗研發(fā)，各攻關(guān)團(tuán)隊(duì)日夜奮戰(zhàn)，在尊重科學(xué)、保障安全的 前提下，最大限度縮短研發(fā)時(shí)間，為本國(guó)和全球應(yīng)對(duì)新冠肺炎疫情提供有力支撐。我們?cè)诜酪呖蒲腥藛T身上看到 ( )①造福人類的濟(jì)世情懷 ②律己寬人的處事原則③溝通合作的團(tuán)隊(duì)精神 ④見利思義的高尚情操A.①② B.①③ C.②④ D.③④
九年級(jí)上冊(cè)道德與法治富強(qiáng)與創(chuàng)新7作業(yè)設(shè)計(jì)
作業(yè) 2 觀看視頻設(shè)計(jì)分析：學(xué)生通過觀看 2022 年中國(guó)冬奧會(huì)廚房機(jī)器人感 受到祖國(guó)充滿創(chuàng)新的高科技風(fēng)格， 感受祖國(guó)的強(qiáng)大， 激發(fā)學(xué)生的民族自豪感， 自 信心。作業(yè) 2 觀看視頻設(shè)計(jì)意圖：激發(fā)學(xué)生的學(xué)習(xí)的熱情， 培養(yǎng)創(chuàng)新精神， 提高創(chuàng) 新能力，樹立遠(yuǎn)大的理想。(五) 作業(yè)實(shí)施與反思作業(yè) 1：通過新聞點(diǎn)評(píng)， 感受祖國(guó)的航天事業(yè)的蓬勃發(fā)展， 激發(fā)學(xué)生的愛國(guó) 情懷， 考查學(xué)生對(duì)于創(chuàng)新價(jià)值的理解， 對(duì)于國(guó)家創(chuàng)新文化的自豪感以及對(duì)于國(guó)家 創(chuàng)新發(fā)展的自信?？疾閷W(xué)生辯證看待問題的能力和自覺踐行創(chuàng)新的能力， 激勵(lì)學(xué) 生有意識(shí)地在日常生活中培養(yǎng)自己的創(chuàng)新能力。作業(yè) 2：通過觀看視頻， 2022 年中國(guó)冬奧會(huì)廚房機(jī)器人，智能化運(yùn)用到生 活中， 機(jī)器人學(xué)生更關(guān)注， 更有興趣， 從而激發(fā)學(xué)生學(xué)習(xí)的熱情， 培養(yǎng)學(xué)生創(chuàng)新 的熱情， 提高創(chuàng)新的能力。感受中國(guó)創(chuàng)新成就中培養(yǎng)民族自豪感，形成國(guó)家觀、 世界觀，培養(yǎng)民族擔(dān)當(dāng)意識(shí)，樹立遠(yuǎn)大理想。
小學(xué)美術(shù)人教版六年級(jí)下冊(cè)《第15課我國(guó)古代建筑藝術(shù)》教學(xué)設(shè)計(jì)說課稿
2重點(diǎn)難點(diǎn)教學(xué)重點(diǎn)了解我國(guó)古代建筑的外觀造型、建筑結(jié)構(gòu)、群體布局、裝飾色彩。教學(xué)難點(diǎn)對(duì)我國(guó)古代建筑的欣賞感受能力，能夠從外觀、結(jié)構(gòu)、布局、裝飾、類別來欣賞祖國(guó)古代的建筑藝術(shù)。3教學(xué)過程3.1 第一學(xué)時(shí)教學(xué)活動(dòng)活動(dòng)1【導(dǎo)入】觀察建筑，點(diǎn)出建筑（設(shè)計(jì)意圖：了解建筑的基本特點(diǎn)）1、同學(xué)們，我們坐在什么地方？（教室）2、讓我們來觀察一下，它都有哪些部分組成？（墻壁、天花板、地面、門窗）3、還有什么地方有這些特點(diǎn)？（電影院、家… …）4、 [課件1：現(xiàn)代建筑]這些都叫做“建筑”。（板書）
人教版高中政治必修1第十課科學(xué)發(fā)展觀和小康社會(huì)的經(jīng)濟(jì)建設(shè)教案
一、教材分析第四單元“發(fā)展社會(huì)主義市場(chǎng)經(jīng)濟(jì)”旨在培養(yǎng)社會(huì)主義的建設(shè)者，高中生是未來社會(huì)主義現(xiàn)代化建設(shè)的主力軍，是將來參與市場(chǎng)經(jīng)濟(jì)活動(dòng)的主要角色，承擔(dān)著全面建設(shè)小康社會(huì)的重任，本課的邏輯分為兩目：第一目，從“總體小康到全面小康”。這一部分的邏輯結(jié)構(gòu)如下：首先謳歌我國(guó)人民的生活水平達(dá)到總體小康這一偉大成就，然后從微觀和宏觀兩個(gè)方面介紹總體小康的成就。同時(shí)指出，我國(guó)現(xiàn)在達(dá)到的小康是低水平、不全面、發(fā)展不平衡的小康。第二目“經(jīng)濟(jì)建設(shè)的新要求”。這一目專門介紹全面建設(shè)小康社會(huì)的經(jīng)濟(jì)目標(biāo)，也是學(xué)生要重點(diǎn)把握的內(nèi)容。二、教學(xué)目標(biāo)（一）知識(shí)目標(biāo)（1）識(shí)記總體小康的建設(shè)成就在宏觀和微觀上的表現(xiàn)，全面建設(shè)小康社會(huì)的經(jīng)濟(jì)建設(shè)目標(biāo)。（2）理解低水平、不全面、發(fā)展很不平衡的小康，以及小康社會(huì)建設(shè)進(jìn)程是不平衡的發(fā)展過程。（3）運(yùn)用所學(xué)知識(shí)，初步分析全面建設(shè)小康社會(huì)的意義。
用空間向量研究直線、平面的位置關(guān)系（1）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)
二、探究新知一、空間中點(diǎn)、直線和平面的向量表示1.點(diǎn)的位置向量在空間中,我們?nèi)∫欢c(diǎn)O作為基點(diǎn),那么空間中任意一點(diǎn)P就可以用向量(OP) ?來表示.我們把向量(OP) ?稱為點(diǎn)P的位置向量.如圖.2.空間直線的向量表示式如圖①,a是直線l的方向向量,在直線l上取(AB) ?=a,設(shè)P是直線l上的任意一點(diǎn),則點(diǎn)P在直線l上的充要條件是存在實(shí)數(shù)t,使得(AP) ?=ta,即(AP) ?=t(AB) ?.如圖②,取定空間中的任意一點(diǎn)O,可以得到點(diǎn)P在直線l上的充要條件是存在實(shí)數(shù)t,使(OP) ?=(OA) ?+ta, ①或(OP) ?=(OA) ?+t(AB) ?. ②①式和②式都稱為空間直線的向量表示式.由此可知,空間任意直線由直線上一點(diǎn)及直線的方向向量唯一確定.1.下列說法中正確的是( )A.直線的方向向量是唯一的B.與一個(gè)平面的法向量共線的非零向量都是該平面的法向量C.直線的方向向量有兩個(gè)D.平面的法向量是唯一的答案:B 解析:由平面法向量的定義可知,B項(xiàng)正確.
用空間向量研究直線、平面的位置關(guān)系（2）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)
跟蹤訓(xùn)練1在正方體ABCD-A1B1C1D1中,E為AC的中點(diǎn).求證:(1)BD1⊥AC;(2)BD1⊥EB1.(2)∵(BD_1 ) ?=(-1,-1,1),(EB_1 ) ?=(1/2 "," 1/2 "," 1),∴(BD_1 ) ?·(EB_1 ) ?=(-1)×1/2+(-1)×1/2+1×1=0,∴(BD_1 ) ?⊥(EB_1 ) ?,∴BD1⊥EB1.證明:以D為原點(diǎn),DA,DC,DD1所在直線分別為x軸、y軸、z軸,建立如圖所示的空間直角坐標(biāo)系.設(shè)正方體的棱長(zhǎng)為1,則B(1,1,0),D1(0,0,1),A(1,0,0),C(0,1,0),E(1/2 "," 1/2 "," 0),B1(1,1,1).(1)∵(BD_1 ) ?=(-1,-1,1),(AC) ?=(-1,1,0),∴(BD_1 ) ?·(AC) ?=(-1)×(-1)+(-1)×1+1×0=0.∴(BD_1 ) ?⊥(AC) ?,∴BD1⊥AC.例2在棱長(zhǎng)為1的正方體ABCD-A1B1C1D1中,E,F,M分別為棱AB,BC,B1B的中點(diǎn).求證:D1M⊥平面EFB1.思路分析一種思路是不建系,利用基向量法證明(D_1 M) ?與平面EFB1內(nèi)的兩個(gè)不共線向量都垂直,從而根據(jù)線面垂直的判定定理證得結(jié)論;另一種思路是建立空間直角坐標(biāo)系,通過坐標(biāo)運(yùn)算證明(D_1 M) ?與平面EFB1內(nèi)的兩個(gè)不共線向量都垂直;還可以在建系的前提下,求得平面EFB1的法向量,然后說明(D_1 M) ?與法向量共線,從而證得結(jié)論.證明:(方法1)因?yàn)镋,F,M分別為棱AB,BC,B1B的中點(diǎn),所以(D_1 M) ?=(D_1 B_1 ) ?+(B_1 M) ?=(DA) ?+(DC) ?+1/2 (B_1 B) ?,而(B_1 E) ?=(B_1 B) ?+(BE) ?=(B_1 B) ?-1/2 (DC) ?,于是(D_1 M) ?·(B_1 E) ?=((DA) ?+(DC) ?+1/2 (B_1 B) ?)·((B_1 B) ?-1/2 (DC) ?)=0-0+0-1/2+1/2-1/4×0=0,因此(D_1 M) ?⊥(B_1 E) ?.同理(D_1 M) ?⊥(B_1 F) ?,又因?yàn)?B_1 E) ?,(B_1 F) ?不共線,因此D1M⊥平面EFB1.
新疆2016年中考?xì)v史真題試題（含答案）
13．（6分）在人類歷史長(zhǎng)河中，曾涌現(xiàn)出一大批著名的具有時(shí)代象征意義的歷史人物。下列是中國(guó)近代史上的著名人物。關(guān)于其成就的敘述，請(qǐng)?jiān)谡_項(xiàng)后面的空格里打“√”。錯(cuò)誤的打“×” 序號(hào)人物 判斷①魏源翻譯《天演論》，激勵(lì)人們“自強(qiáng)保種”，救亡圖存，反對(duì)外來侵略 ②李鴻章在洋務(wù)運(yùn)動(dòng)中，參與創(chuàng)辦江南制造總局，創(chuàng)辦輪船招商局 ③梁?jiǎn)⒊瑓⑴c發(fā)起公車上書，與他人合作創(chuàng)辦《萬國(guó)公報(bào)》，宣傳維新變法思想 ④孫中山組建興中會(huì)，建立中國(guó)同盟會(huì)；發(fā)起多次反清起義，創(chuàng)建中華民國(guó) ⑤陳獨(dú)秀在新文化運(yùn)動(dòng)中創(chuàng)辦《青年雜志》；提出“民主”和“科學(xué)”的口號(hào) ⑥張謇擔(dān)任中國(guó)人修建的第一條鐵路的工程師，設(shè)計(jì)出“人”字形鐵軌
新疆維吾爾2017年中考語文真題試題（含解析）
觀滄海曹操東臨碣石，以觀滄海。水何澹澹，山島竦峙。樹木叢生，百草豐茂。秋風(fēng)蕭瑟，洪波涌起。日月之行，若出其中；星漢燦爛，若出其里。幸甚至哉，歌以詠志。
