2019-2020年人教版高中英语必修三教学案：Unit 4 Section 3(含答案)
2019-2020年人教版高中英语必修三教学案：Unit 4 Section 3(含答案)
语法图解
探究发现
①What it was to become was uncertain until between 4.5 and 3.8 billion years ago when the dust settled into a solid globe.
②The earth became so violent that it was not clear whether the shape would last or not.
③What is even more important is that as the earth cooled down, water began to appear on its surface.
④It was not immediately obvious that water was to be fundamental to the development oflife.
⑤What many scientists believe is that the continued presence of water allowed the earth to dissolve harmful gases and acids into the oceans and seas.
⑥So whether life will continue on the earth for millions of years to come will depend on whether this problem can be solved.
[我的发现]
(1)以上黑体部分在句中作主语。
(2)①句中的what在从句中作表语，但⑤句中的what在从句中作宾语；③句中的what 在从句中作主语。
(3)②⑥句中的whether意为：是否。
(4)④句中it是形式主语，真正的主语是后面that引导的从句。
一、定义
在主从复合句中充当主语的从句即为主语从句。
What made people excited was that the solar ship had completed around-the-world trip.
让人们激动的是太阳能船已完成了环游世界的旅行。
It worried the woman that her son was always playing computer games.
儿子一直在玩电脑游戏，这让这个女人很担心。
二、主语从句的连接词及其句法功能
1．连接词that和whether/if
(1)that在从句中不充当任何句子成分，本身无任何意义，只起连接作用，但不可省略。
That she survived the accident is a miracle.
她在事故中幸免于难简直是奇迹。
(2)whether/if在从句中不充当任何句子成分，起连接作用，意为“是否”，不可省略。
Whether the plan will be carried out is still unknown.
＝It is still unknown if/whether the plan will be carried out.
这个计划是否会实施还不知道。
[名师点津]whether引导的主语从句既可放在句首也可放在句尾，但if引导的主语从句只能放在句尾，前面需用it作形式主语。
[即时演练1]补全句子
①That_she_could_come_to_help_us made us very happy.
她能来帮助我们使我们很高兴。
②Whether_she_is_coming_or_not doesn't matter too much.
她来不来都无关紧要。
2．连接代词(who, whose, whom, what, which, whichever, whoever, whomever, whatever 等)
连接代词引导主语从句，在从句中可以作主语、宾语、表语或定语。
Whichever (of you) comes in first will receive a prize.
无论(你们)谁先到都可以得奖。
Who will go to the concert is not known.
不知道谁会去听音乐会。
Whatever you do in your spare time should do no harm to others.
无论你在业余时间做什么都不应该伤害其他人。
[名师点津]who 引导的主语从句表示一件“事情”，而whoever引导的主语从句指“人”。
3．连接副词(when, where, how, why等)
连接副词引导主语从句并在从句中作状语。
How this happened is not clear to anyone.
这件事怎样发生的，谁也不清楚。
When we will have a meeting is an important question.
我们何时举行会议是个重要的问题。
Where I spend my summer is no business of yours.
我在哪里过暑假不关你的事。
[名师点津]名词性从句引导词的确定步骤：
(1)分析句式结构，明确名词性从句在句中的功能；
(2)明确名词性从句所表达的意义；
(3)明确名词性从句中所需要的成分及意义；
(4)确定从句的引导词。
[即时演练2]用适当的连接代词或连接副词填空
①How it was done was a mystery.
②Why John was late for the class has been unexplained.
③Which part of the country he will travel to needs discussing.
④Where/When the English evening will be held has not yet been decided.
⑤What surprises me most is that he is too proud.
⑥Whoever is interested in the activity can sign your names.
三、主语从句中用it作形式主语的结构
1．It＋be＋形容词(obvious, true, natural, strange, etc.)＋主语从句
It is important that he should know about this.
他应该知道此事是重要的。
[名师点津]在“It＋be＋形容词＋主语从句”结构中，若形容词为important/necessary/strange等，主语从句中的谓语用“(should) do”。
2．It＋be＋名词词组(no wonder, an honour, a pity, a/no surprise, etc.)＋主语从句
It's a pity that he didn't come.
很遗憾他没来。
3．It ＋be＋过去分词(said, reported, thought, expected, proved, etc.)＋主语从句
It is suggested that the meeting be put off.
有人建议会议延期召开。
[名师点津]在“It＋be＋过去分词＋主语从句”结构中，过去分词若为suggested/ordered/required/advised等，主语从句中的谓语用“(should) do”。
4．It＋不及物动词(happen, seem, appear, remain, etc.)＋主语从句
It seems that it is going to rain.
看起来好像要下雨。
5．It＋及物动词＋宾语＋主语从句
It surprised him why they came to visit him suddenly.
让他吃惊的是他们为什么突然都来看他。
[即时演练3]
(1)补全句子
①It's_a_pity that you can't attend my birthday party.
很可惜你不能参加我的生日聚会。
②It's_suggested that the old man should go to the countryside to have a rest.
建议这位老人到乡村休息一下。
③It_seems_to_me that you disagree with the plan.
在我看来，你好像不赞成这个计划。
④It is doubtful whether_she_will_be_able_to_come_to_the_party.
她是否能来参加聚会还很难说。
⑤It_happened_that the harvest was bad that year.
碰巧那年收成不好。
(2)句型转换(每空一词)
①That he suddenly fell ill last month surprised us.
→Itsurprisedusthat he suddenly fell ill last month.
②Whether they will sell the house hasn't been yet decided.
→Ithasn'tbeendecidedyetwhether they will sell the house.
③That light travels in straight lines is known to us all.
→Itisknowntousallthat light travels in straight lines.
四、主语从句中应注意的问题
1．从句要用陈述语序
What we will do next should be decided.
应该决定一下我们下一步该做什么。
2．主谓一致
(1)从句作主语时，主句的谓语一般用单数形式。
Where he will get a job after graduation has puzzled him much.
毕业后到哪儿找份工作使他很困惑。
[名师点津]what引导主语从句时，有时主句谓语动词应与主句中作表语的名词保持一致。
What the school needs most are books.
这所学校最需要的是书。
(2)如果由and连接两个或两个以上的主语从句作主语时，谓语动词用复数；由两个或多个连接词引导一个主语从句时，谓语动词用单数。
When they will start and where they will go have not been decided yet.
他们将在什么时候动身以及要去哪里还没定下来。
When and where they will hold the meeting is not clear.
他们何时何地召开会议还不清楚。
[即时演练4]用所给词的适当形式填空
①What surprised me most was (be) that the man in rags was a millionaire.
②What he needs most is (be) money.
③When and where the meeting will be held has_been_decided (decide) already.
④That the coal workers are still alive is (be) a wonder.
Ⅰ.单句语法填空
1．Who will be in charge of the company is a mystery.
2．Whether we will hold a party tomorrow depends on the weather.
3．Where cars will be parked in the future is a question.
4．It is very important that a student (should) learn English well.
5．It is a pity that you missed the film.
6．What made her happy was that she won the game in such an important match.
7．Whoever breaks the law should be punished.
8．What role he will play in the film hasn't been known.
Ⅱ.单句写作
1．(2016·天津高考书面表达)What_impresses_us_most_are (给我们印象最深的是) your art skills, in which you showed outstanding talent.
2．(2014·湖南卷书面表达)What_surprises_us_most_is (让我们最吃惊的是) that the water can remain at that temperature for about twenty hours.
3．(2014·浙江卷书面表达)What_we_need_most_are (我们最需要的是) popular science books.
4．That_he_will_attend_the_meeting (他将要参加会议) has excited every one of us.
5．(广东高考作文)It_is_reported_that (据报道) about 30 volunteers who are at least 18 years old will be chosen from all over the world to go to the Mars by the year of 2015.
Ⅲ.语法填空(用适当的连接词完成下面短文)
Everyone knew 1.that Wendy was a famous writer, but no one knew 2.where she came from and 3.whether she was born in 1961 was still a mystery. 4.What they did know was 5.that she was loved by poor people because she always helped 6.whoever was in need of money. Wendy was generous and helpful, but some people thought she was chasing fame. Wendy said she didn't understand 7.why they were so narrow-minded, but it didn't matter 8.what others thought of her. She just wanted to do 9.what(ever) she thought was right. I think that is 10.where the meaning of life lies.
高中英语人教版必修三单词表
高中英语人教版必修三单词表． 必修3 Unit 1 1、发生 2、美；美人 收获；收割3、庆祝；祝贺4、狩猎者；猎人、5(使)饿死；饿得要死、6起源；由来；起因7、8、宗教上的;信奉宗教的;虔诚的 9、季节的；季节性的 10、祖先；祖宗 11、（日本）盂兰盆节 坟墓；墓地12、熏香；熏香的烟13、14、纪念；追念 15、墨西哥（拉丁美洲国家） 16、节日；盛宴 17、头脑；头骨 18、骨；骨头 19、万圣节前夕；诸圣日前夕
信任；信心；信仰20、 21、盛装；打扮；装饰 欺骗；诈骗;窍门诡计;恶作剧22、23、搞恶作剧；诈骗；开玩笑 诗人、2425、哥伦布日 26、到来；到达；到达者 27、克利斯朵夫·哥伦布 28、获得；得到 29、独立；自主 30、独立的；自主的 搜集；集合；聚集31、 32、农业；农艺；农学 农业的；农艺的、33授予；判定奖；奖品34、 35、产品；（尤指）农产品 雄禽；公鸡36、37、赞美；钦佩；羡慕 38、充满活力的;精力充沛的;积极的 39、期望；期待；盼望 狂欢节；（四旬斋前的）饮宴狂欢；嘉年华（会）40、 41、月的；月亮的；阴历的耶稣)复活节42、(43、游行；阅兵；检阅、日夜；昼夜；整天4445、衣服 2 必修3 基督徒；信徒、46基督教的；信基督教的 47、耶稣 48、樱桃；樱桃树 49、花开花 50、好像 51、玩得开心 52、习惯；风俗 53、遍及全世界的；世界性的 玫瑰花蕾54、55、愚人；白痴；受骗者 干傻事；开玩笑傻的 必要性；需要56、57、许可；允许 预言；预报；预告58、59、样子；方式；时尚 60、特立尼达岛 61、卡拉（女名） 62、哈利（男名） 63、（汽车等）停放 64、停车场 65、圣瓦伦廷节；人节 66、出现；到场 67、守信用；履行诺言 68、屏息；屏气 69、道歉；辩白 70、淹没；溺死；淹死
2019人教版高中英语必修3电子课本 word版
普通高中课程标准实验教科书《英语》电子课本 Book 3 Unit 1 Festivals around the world B3U1P1-3 FESTIV ALS AND CELEBRATIONS Ancient Festivals Festivals and celebrations of all kinds are held everywhere. The most ancient festivals would celebrate the end of the cold weather, planting in spring and harvest in autumn. Other celebrations were held when hunters could catch animals. They would starve if food was difficult to find, so they celebrated when they had food. They lit fires and made music because they thought these festivals would bring a year of plenty. Festivals of the Dead Some festivals are held to honour the dead, or satisfy and please the ancestors, who could return either to help or to do harm. In Japan the festival is called Obon, when people should go to clean the graves and light incense in memory of their ancestors. They light lamps and play music because they think that this will lead the ancestors back to earth. In Mexico they have the Day of the Dead in early November. On this important feast day, people might eat food in shape of skulls, and cakes with “bones” on them. They offer food, flowers and gifts to the dead. The festival of Halloween had its origin as an event in memory of the dead. It is now a children’s festival, when they can go to their neighbours’ homes and ask for sweets. They dress up and try to frighten people. If they are not given anything, the children might play a trick. Festivals to Honour People Festivals can be held as an honour to famous people or to the gods. One of these is the Dragon Boat Festival in China, which honours the famous ancient poet, Qu Yuan. Another is Columbus Day in the USA, in memory of the arrival of Christopher Columbus in America. In India there is a national festival on October 2 to honour Mahatma Gandhi, the leader who helped gain India’s independence from Britain. Harvest Festivals Harvest and Thanksgiving festivals can be very happy events. People are grateful because their food is gathered for the winter ,and because a season of agricultural work is over. In European countries it is the custom to decorate churches and town halls with flowers and fruit, and people get together to have meals. Some people might win awards for their animals, flowers, fruits and vegetables, like the biggest watermelon or the most handsome rooster. In China and Japan there are mid-autumn festivals, when people admire the moon and give gift of mooncakes. Spring Festivals The most energetic and important festivals are the ones that look forward to the end of winter and to the coming of spring. At the Spring Festival in China, people eat dumplings, fish and meat, and may give children lucky money in the red paper. There are dragon dances and carnivals, and families celebrate the lunar New Year together. In some Western countries there are very exciting carnivals, which take place forty days before Easter, usually in February. They might include parades, dancing in the streets day and night, loud music and colourful clothing of all kinds. Easter is an important religious and social festival in Christian countries. It celebrates the return of Jesus for Christians and it also celebrates the coming of spring. In Japan, the Cherry Blossom Festival happens a little later. The country is covered with cherry tree flowers so that it looks as though it might be covered with pink snow. People love to get together to eat, drink and have fun with each others. Festivals let us enjoy life, be proud of our customs and forget our daily life for a little while.
人教版新课标高中数学必修四 全册教案
按住Ctrl 键单击鼠标打开教学视频动画全册播放 1.1．1 任意角 教学目标 （一） 知识与技能目标 理解任意角的概念(包括正角、负角、零角) 与区间角的概念. （二） 过程与能力目标 会建立直角坐标系讨论任意角,能判断象限角,会书写终边相同角的集合；掌握区间角的集合的书写． （三） 情感与态度目标 1． 提高学生的推理能力； 2．培养学生应用意识． 教学重点 任意角概念的理解；区间角的集合的书写． 教学难点 终边相同角的集合的表示；区间角的集合的书写． 教学过程 一、引入： 1．回顾角的定义 ①角的第一种定义是有公共端点的两条射线组成的图形叫做角. ②角的第二种定义是角可以看成平面内一条射线绕着端点从一个位置旋转到另一个位置所形成的图形． 二、新课： 1．角的有关概念： ①角的定义： 角可以看成平面内一条射线绕着端点从一个位置旋转到另一个位置所形成的图形． ②角的名称： ③角的分类： ④注意： ⑴在不引起混淆的情况下，“角α ”或“∠α ”可以简化成“α ”； ⑵零角的终边与始边重合，如果α是零角α =0°； ⑶角的概念经过推广后，已包括正角、负角和零角． ⑤练习：请说出角α、β、γ各是多少度? 2．象限角的概念： ①定义：若将角顶点与原点重合，角的始边与x 轴的非负半轴重合，那么角的终边(端点除外)在第几象限，我们就说这个角是第几象限角． 例1．如图⑴⑵中的角分别属于第几象限角？ 正角：按逆时针方向旋转形成的角 零角：射线没有任何旋转形成的角 负角：按顺时针方向旋转形成的角 始边 终边 顶点 A O B
例2．在直角坐标系中，作出下列各角，并指出它们是第几象限的角． ⑴ 60°； ⑵ 120°； ⑶ 240°； ⑷ 300°； ⑸ 420°； ⑹ 480°； 答：分别为1、2、3、4、1、2象限角． 3．探究：教材P3面 终边相同的角的表示： 所有与角α终边相同的角，连同α在内，可构成一个集合S ＝{ β | β = α + k ·360 ° ， k ∈Z}，即任一与角α终边相同的角，都可以表示成角α与整个周角的和． 注意： ⑴ k ∈Z ⑵ α是任一角； ⑶ 终边相同的角不一定相等，但相等的角终边一定相同．终边相同的角有无限个，它们相差 360°的整数倍； ⑷ 角α + k ·720 °与角α终边相同，但不能表示与角α终边相同的所有角． 例3．在0°到360°范围内，找出与下列各角终边相等的角，并判断它们是第几象限角． ⑴－120°；⑵640 °；⑶－950°12＇． 答：⑴240°,第三象限角；⑵280°,第四象限角；⑶129°48＇,第二象限角； 例4．写出终边在y 轴上的角的集合(用0°到360°的角表示) ． 解:{α | α = 90°+ n ·180°,n ∈Z}． 例5．写出终边在x y =上的角的集合S,并把S 中适合不等式－360°≤β＜720°的元素β写出来． 4．课堂小结 ①角的定义； ②角的分类： ③象限角； ④终边相同的角的表示法． 5．课后作业： ①阅读教材P 2-P 5； ②教材P 5练习第1-5题； ③教材P .9习题1.1第1、2、3题 思考题：已知α角是第三象限角，则2α，2 α 各是第几象限角？ 解：α 角属于第三象限， 正角：按逆时针方向旋转形成的角 零角：射线没有任何旋转形成的角 负角：按顺时针方向旋转形成的角
人教版高中化学选修4第一章测试题(经典含解析)
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Unit 1 Festivals around the world FESTIVALS AND CELEBRATIONS Festivals and celebrations of all kinds have been held everywhere since ancient times. Most ancient festivals would celebrate the end of cold weather, planting in spring and harvest in autumn. Sometimes celebrations would be held after hunters had caught animals. At that time people would starve if food was difficult to find, especially during the cold winter months. Today’s festivals have many origins, some religious, some seasonal, and some for special people or events. Festivals of the dead Some festivals are held to honour the dead or to satisfy the ancestors, who might return either to help or to do harm. For the Japanese festival Obon, people should go to clean graves and light incense in memory of their ancestors. They also light lamps and play music because they think that will lead the ancestors back to earth. In Mexico, people celebrate the Day of the Dead in early November. On this important feast day, people eat food in the shape of skulls and cakes with “bones” on them. They offer food, flowers and gifts to the dead. The Western holiday Halloween also had its origin in old beliefs about the return of the spirits of dead people. It is now a children’s festival, when they can dress up and go to their neighbours’ homes to ask for sweets. If the neighbours do not give any sweets, the children might play a trick on them. Festivals to Honour People Festivals can also be held to honour famous people. The Dragon Boat Festival in China honours the famous ancient poet, Qu Y uan. In the USA, Columbus Day is in memory of the arrival of Christopher Columbus in the New World. India has a national festival on October 2 to honour Mohandas Gandhi, the leader who helped gain India’s independence from Britain. Harvest Festivals Harvest and Thanksgiving festivals can be very happy events. People are grateful because their food is gathered for the winter and the agricultural work is over. In European countries, people will usually decorate churches and town halls with flowers and fruit, and will get together to have meals. Some people might win awards for their farm produce, like the biggest watermelon or the most handsome rooster. China and Japan have mid-autumn festivals when people admire the moon and in China enjoy moon-cakes. Spring Festivals The most energetic and important festivals are the ones that look forward to the end of winter and to the coming of spring. At the Spring Festival in China, people eat dumplings, fish and meat and may give children lucky money in red paper. There are dragon dances and carnivals, and families celebrate the Lunar New Year together. Some Western countries have very exciting carnivals, which take place forty days before Easter, usually in February. These carnivals might include parades, dancing in the streets day and night, loud music and colourful clothing of al kinds. Easter is an important religious and social festival for Christians around the world. It celebrates the return of Jesus from the dead and the coming of spring and new life. Japan’s Cherry Blossom Festival happens a little later. The country, covered with cherry tree flowers, looks as though it is covered with pink snow. People love to get together to eat, drink and have fun with each other. Festivals let us enjoy life, be proud of our customs and forget our work for a little while.
高中英语必修3课文讲解
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(完整版)人教版高中英语必修三单词表
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人教版高中化学选修4综合测试题
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高中英语人教版必修三单词表
Unit 1 1、发生 2、美；美人 3、收获；收割 4、庆祝；祝贺 5、狩猎者；猎人 6、(使)饿死；饿得要死 7、起源；由来；起因 8、宗教上的;信奉宗教的;虔诚的 9、季节的；季节性的 10、祖先；祖宗 11、（日本）盂兰盆节 12、坟墓；墓地 13、熏香；熏香的烟 14、纪念；追念 15、墨西哥（拉丁美洲国家） 16、节日；盛宴 17、头脑；头骨 18、骨；骨头 19、万圣节前夕；诸圣日前夕 20、信任；信心；信仰 21、盛装；打扮；装饰 22、诡计;恶作剧;窍门欺骗；诈骗 23、搞恶作剧；诈骗；开玩笑 24、诗人 25、哥伦布日 26、到来；到达；到达者 27、克利斯朵夫·哥伦布 28、获得；得到 29、独立；自主 30、独立的；自主的 31、搜集；集合；聚集 32、农业；农艺；农学 33、农业的；农艺的 34、奖；奖品授予；判定 35、产品；（尤指）农产品 36、雄禽；公鸡 37、赞美；钦佩；羡慕 38、充满活力的;精力充沛的;积极的 39、期望；期待；盼望 40、狂欢节；（四旬斋前的）饮宴狂欢；嘉年华（会） 41、月的；月亮的；阴历的 42、 (耶稣)复活节 43、游行；阅兵；检阅 44、日夜；昼夜；整天 45、衣服
46、基督徒；信徒 基督教的；信基督教的 47、耶稣 48、樱桃；樱桃树 49、花开花 50、好像 51、玩得开心 52、习惯；风俗 53、遍及全世界的；世界性的 54、玫瑰花蕾 55、愚人；白痴；受骗者 干傻事；开玩笑傻的 56、必要性；需要 57、许可；允许 58、预言；预报；预告 59、样子；方式；时尚 60、特立尼达岛 61、卡拉（女名） 62、哈利（男名） 63、（汽车等）停放 64、停车场 65、圣瓦伦廷节；人节 66、出现；到场 67、守信用；履行诺言 68、屏息；屏气 69、道歉；辩白 70、淹没；溺死；淹死 71、悲哀，悲伤 72、明显的；显而易见的 73、擦；揩；擦去 74、（使）迂回 75、牧群；兽群 76、银河 77、喜鹊 78、哭泣;流泪哭；哭泣 79、广播员；告知者；报幕员 80、出发；动身；使爆炸 81、提醒；使想起 82、使……想起…… 83、原谅；恕 Unit 2 84、日常饮食节食 85、意大利式细面条 86、坚果；果仁 87、肌肉；（食用）瘦肉 88、给予保护的；保护的
人教版2020版高中英语必修3课文逐句翻译
1.必修三Unit1 Festivals and celebrations节日和庆典 Festivals and celebrations of all kinds have been held everywhere since ancient times. 自古以来，世界各地就有各种各样的节日和庆典。Most ancient festivals would celebrate the end of cold weather, planting in spring and harvest in autumn. 最古老的节日总是庆祝严寒的结束、春季的种植和秋天的收割。Sometimes celebrate would be held after hunters had caught animals. 有时，在猎人捕获猎物后，也举行庆祝活动。At that time people would starve if food was difficult to find, especially during the cold winter months. 在那个时代，如果食物难以找到，特别是在寒冷的冬月，人们会挨饿。Today’s festivals have many origins ,some religious, some seasonal, and some for special people or events. 现在的节日有很多由来，一些是宗教上的，一些是季节性的，一些是纪念特殊的人和事件的。 Festivals of the Dead亡灵节 Some festivals are held to honour the dead or to satisfy the ancestors, who might return either to help or to do harm. 有些节日，是为了纪念死者，或使祖先得到满足，因为祖先们有可能回到世上（给人们）提供帮助，也有可能带来危害。For the Japanese festival. Obon, people should go to clean graves and light incense in memory of their ancestors. 在日本的盂兰盆节，人们要扫墓、烧香，以缅怀祖先。They also light lamps and play music because they think that this will lead the ancestors back to earth. 他们还点起灯笼，奏响乐曲，因为他们认为这样做可以把祖先引回到世上。In Mexico, people celebrate the Day of the Dead in early November. 在墨西哥，亡灵节是在11月初。On this important feast day, people eat food in the shape of skulls and cakes with “bones” on them. 在这个重要的节日里，人们会吃制成颅骨形状的食物，和装点有“骨头”的蛋糕。They offer food, flowers and gifts to the dead. 他们向亡者祭献食物、鲜花和礼品。The Western holiday Halloween also had its origin in old beliefs about the return of the spirits of dead people. 西方节日万圣节也源自人们古老的信念，认为亡者的灵魂会返回人间。It is now a children’s festival, when they can dress up and to their neighbours’ homes to ask for sweets. 万圣节如今成了孩子们的节日，这天他们可以乔装打扮上到邻居家要糖吃。If the neighbours do not give any sweets, the children might play a trick on them. 如果邻居什么糖也不给，那么孩子们就可以捉弄他们了。 Festivals to Honour People纪念名人的节日 Festivals can also be held to honour famous people . 也有纪念名人的节日。The Dragon Boat Festival in China honours the famous ancient poet, Qu Y uan. 中国的端午节（龙舟节），是纪念著名古代诗人屈原的。In the USA Columbus Day is in memory of the arrival of Christopher Columbus in New World. 美国的哥伦布日是纪念克里斯托弗·哥伦布发现“新大陆”的日子。India has a national festival on October 2 to honour Mohandas Gandhi, the leader who helped gain India’s independence from Britain. 印度在10月2日有个全国性节日，纪念莫汉达斯·甘地，他是帮助印度脱离英国而独立的领袖。 Harvest Festivals庆丰收的节日 Harvest and Thanksgiving festivals can be very happy events. 收获与感恩节是非常喜庆的节日。People are grateful because their food is gathered for the winter and the agricultural work is over. 越冬的粮食收集起来了，农活结束了，人们都心怀感激。In European countries, people will usually decorate churches and town halls with flowers and fruit, and will get together to have meals. 在欧洲国家，人们通常用花果来装饰教堂和市政厅，在一起聚餐。Some people might win awards for their farm produce, like the biggest watermelon or the most handsome rooster. 有些人还可能因为他们的农产品（参加各种评选）而获奖，比如最大的西瓜或最帅的公鸡。China and Japan have mid-autumn festivals, when people admire the moon and in China, enjoy
高中数学人教版必修4全套教案
第1，2课时1.1．1 任意角 教学目标 （一） 知识与技能目标 理解任意角的概念(包括正角、负角、零角) 与区间角的概念. （二） 过程与能力目标 会建立直角坐标系讨论任意角,能判断象限角,会书写终边相同角的集合；掌握区间角的集合的书写． （三） 情感与态度目标 1． 提高学生的推理能力； 2．培养学生应用意识． 教学重点：任意角概念的理解；区间角的集合的书写． 教学难点：终边相同角的集合的表示；区间角的集合的书写． 教学过程 一、引入： 1．回顾角的定义 ①角的第一种定义是有公共端点的两条射线组成的图形叫做角. ②角的第二种定义是角可以看成平面内一条射线绕着端点从一个位置旋转到另一个位置所形成的图形． 二、新课： 1．角的有关概念： ①角的定义： 角可以看成平面内一条射线绕着端点从一个位置旋转到另一个位置所形成的图形． ②角的名称： ③角的分类： ④注意： ⑴在不引起混淆的情况下，“角α ”或“∠α ”可以简化成“α ”； ⑵零角的终边与始边重合，如果α是零角α =0°； ⑶角的概念经过推广后，已包括正角、负角和零角． ⑤练习：请说出角α、β、γ各是多少度? 2．象限角的概念： ①定义：若将角顶点与原点重合，角的始边与x 轴的非负半轴重合，那么 正角：按逆时针方向旋转形成的角 零角：射线没有任何旋转形成的角 始 边 终 边 顶 点 A O B 负角：按顺时针方向旋转形成的角
角的终边(端点除外)在第几象限，我们就说这个角是第几象限角． 例1．如图⑴⑵中的角分别属于第几象限角？ 例2．在直角坐标系中，作出下列各角，并指出它们是第几象限的角． ⑴ 60°； ⑵ 120°； ⑶ 240°； ⑷ 300°； ⑸ 420°； ⑹ 480°； 答：分别为1、2、3、4、1、2象限角． 3．探究： 终边相同的角的表示： 所有与角α终边相同的角，连同α在内，可构成一个集合S ＝{β|β=α+k ·360°，k ∈Z}，即任一与角α终边相同的角，都可以表示成角α与整个周角的和． 注意： ⑴ k ∈Z ⑵ α是任一角； ⑶ 终边相同的角不一定相等，但相等的角终边一定相同．终边相同的角有无限个，它们相差 360°的整数倍； ⑷ 角α + k ·720 °与角α终边相同，但不能表示与角α终边相同的所有角． 例3．在0°到360°范围内，找出与下列各角终边相等的角，并判断它们是第几象限角． ⑴－120°；⑵640 °；⑶－950°12＇． 答：⑴240°,第三象限角；⑵280°,第四象限角；⑶129°48＇,第二象限角； 例4．写出终边在y 轴上的角的集合(用0°到360°的角表示) ． 解:{α | α = 90°+ n ·180°,n ∈Z}． 例5．写出终边在x y 上的角的集合S,并把S 中适合不等式－360°≤β＜720°的元素β写出来． 4．课堂小结 ①角的定义； ②角的分类： ⑵ B 1 y ⑴ O x 45° B 2 O x B 3 y 30° 60o