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2011年高考英语(人教版)要点梳理+重点突破:必修3 Unit 5 Canada-“The True North”

2011年高考英语(人教版)要点梳理+重点突破:必修3 Unit 5 Canada-“The True North”
2011年高考英语(人教版)要点梳理+重点突破:必修3 Unit 5 Canada-“The True North”

必修3

Unit 5Canada-“The True North”

要点梳理高效梳理·知识备考

●重点单词

1.minister n.大臣;部长

2.chat vi. & n.聊天;闲聊

3.scenery n.景色;风景

4.eastward adv. & adj.向东;向东的;朝东的→westward adv. & adj.(反义词)向西,向西的;朝西的

5.surround vt. & vi.包围;围绕→surroundings n.(复)周围的事物;环

境→surrounding adj.周围的

6.measure vi. & vt.测量;衡量;判定n.计量制;计量单位;措施7.aboard prep. & adv.在船、飞机、火车或公共汽车上→board vt. & n.(在/上)船等

8.within prep.在……之内

9.border n.边界;国界;边沿vt. & vi.与……接壤;接近10.slight adj.轻微的;微小的→slightly adv.稍微;轻微地

11.mix vt. & vi.混合;调配→mixture n.混合(物);混合状态12.confirm vt.证实;证明;批准

13.wealthy adj. & n.富有的;富人;有钱人→wealth n.财富

14.distance n.距离;远方→distant adj.远的,远方的

15.broad adj.宽阔的;广泛的

16.nearby adv.在附近adj.附近的;邻近的

17.tradition n.传统;风俗→traditional adj.传统的

18.terrify vt.使恐怖;恐吓→terrifying adj.令人畏惧的→terrified adj.感到畏惧的→terror n.恐惧→terrible adj.恐怖的;恐惧的19.impress vt.使印象深刻;使铭记→impression n.印象→impressive adj.给人深刻印象的;感人的

●重点短语

1.rather than与其;不愿

2.be surrounded by/with被……包围3.settle down定居;平静下来;专心于4.manage to do 设法做

5.catch sight of 看见;瞥见

6.have a gift for 对……有天赋

7.in the distance 在远处

8.as far as 远到;直到;至于

9.at dawn 在黎明,在拂晓10.thousands of 成千上万的

●重点句型

1.Rather than take the aeroplane all the way, they decided to fly to V ancouver and then take the train from west to east across Canada. 她们不想一路乘飞机,她们决定先飞到温哥华,再从西海岸乘火车横穿加拿大到达东海岸。

2.It's too bad you can't go as far as Ottawa, Canada's capital.很遗憾你们不能远到渥太华——加拿大的首都。

3.“W e don't leave until this evening,”said Liu Qian.“我们直到晚上才动身。”刘倩说道。

●高考范文

(2009·辽宁卷)

假定你住在一个涉外小区。社区委员会请你帮忙用英文以短文的形式写一封电子邮件,将周末农家采摘活动的安排传达给住户。

要点:

时间:下周六上午8:00至11:00

内容:采摘苹果

报名:办公室,下周四下午5:00前

提示:带帽子、手套,欢迎踊跃参加

注意:

1.词数100左右。

2.可适当增加细节以使行文连贯。

3.参考词汇:社区community

_____________________________________________

_____________________________________________

[范文]

Ladies and gentlemen,

We are glad to tell you that there will be an apple-picking activity next weekend. Now please let me inform you about some important things. The activity will begin at 8:00 a.m. next Saturday morning, and end at 11:00 a.m. The main thing we will do is to help farmers pick apples on the farm. You are welcome to take part in it.

?Please come to the community office and apply for it before 5:00 p.m.

next Thursday. Remember to take your hats and gloves. I believe you will have a wonderful time. Good luck!

The Community Union

考点探究

互动探究·能力备考

Ⅰ.词汇短语过关

1.surround vt.&vi.包围,环绕,围绕

surrounding adj.周围的

surroundings n. (pl.)环境

be surrounded with/by... 被……环绕/包围

in a surrounding area 在周围地区

be situated/located in very pleasant surroundings

位于优美的环境中

[即学即练1](1)The Los Angeles Basin ______ ___________ ______ three sides ______ high mountains.

洛杉矶盆地三面都是高山。

(2)The peasants are allowed to cultivate ______ __________ ______.允许农民耕种周围的土地。

(3)Animals in a zoo are not living ______ their natural ____________.动物园里的动物们不是生活在自然环境之中。

is

surrounded

on

by

the

surrounding

land

in

surroundings

2.measure n. [U] 量度,测量,尺寸;[C]措施vt.&vi.测量,丈量,计量

make clothes to one‘s own measure 量体裁衣by measure 按尺寸

take measures (steps) to do sth.采取措施

beyond measure 无法估量,极度,过分

be measured in 以……来计算

[即学即练2](1) W e must ______ ____________ _________ to solve these problems one by one.

我们必须采取必要的措施逐个解决问题。

(2) This room ___________ 6 metres by 4.

这个房间有6米长,4米宽。

(3)Did you __________ the distance between those two development areas?

你们测量了那两个开发区之间的距离了吗?

take

necessary

measures

measures

measure

3.within prep. 在……之内;不越出within reach 够得着

within sight 在视线范围内

within one‘s power 力所能及

within an hour 一小时内

within call 在附近;随叫随到within reason 理智地;合理地

[即学即练3](1)You should receive a reply ______ ______ ______.你会在七天内收到答复。

(2)It wasn't ______ ______ ______ to help her.

帮助她并非我力所能及的事。

within

seven

days

within

my

power

4.border n. 边界;国界;边沿vt. &vi. 与……接壤;接近

a border town 边境城市

the border of the lake 湖边

on the border of 将要,接近于,在……的边界上

border on sth. 接近某物,毗邻某物;几乎相同;近似

[即学即练4](1)France ________ Germany ______ parts of the Rhine.法国沿莱茵河部分河段与德国接壤。

(2)She felt an anxiety ___________ ______ hysteria.

她感觉到一种近乎歇斯底里的焦虑。

(3)The large garden ______ __________ ______ a stream.

大花园紧临着一条小溪。

borders

along

bordering

on

is

bordered

by

5.confirm vt. 证实,确认,批准,确定confirmation n. 证实,证明,确定,证明书confirmed adj. 已被证实的;确定的confirm a rumour 证实传闻

confirm a theory 证实一种理论

confirm the time of arrival 确定到达的时间confirm one‘s belief 坚定信念

confirm a project 批准某个项目

confirm a contract 批准合同

confirm sb. in office 批准……上任

[即学即练5](1)The experiment _________ _________ ______.

那实验印证了他的理论。

(2)The President _________ that he would visit Japan the following month.总统证实他将于下个月访问日本。

(3)Their advice __________ ______ ______.

他们的劝告更加强了我的决心。

confirmed

his

theory

confirmed

confirmed

my

decision

6.distance n. 距离;远方;遥远;疏远v. 不介入;与……疏远distant adj. 遥远的;远处的;久远的

at a distance 隔一段距离;距离稍远

in the distance 在远方

out of distance from 离……太远,达不到

keep sb. at a distance 对……冷淡,与……疏远

keep one‘s distance from 与……保持距离

distance yourself from 不介入;与……疏远

[即学即练6](1)I don't know ______ _________(距离) from Beijing to Shanghai.

(2)The hospital is ______ ______ (不远) at all.

(3)The oil painting looks better ______ ______ ______(远看起来).

(4)______ ______ ___________(从远处),I would see them waving their hands.

(5)I can see a light ______ ______ _________(在远处).

the

distance

not

高一英语人教版必修三Unit 5 课文内容

Unit 5 CANADA- “THE TRUE NORTH” A TRIP ON “THE TRUE NORTH” Li Daiyu and her cousin Liu Qian were on a trip to Canada to visit their cousins in Montreal on the Atlantic coast. Rather than take the aeroplane all the way, they decided to fly to Vancouver and then take the train from west to east across Canada. The thought that they could cross the whole continent was exciting. Their friend, Danny Lin, was waiting at the airport. He was going to take them and their baggage to catch “The True North”, the cross-Canada train. On the way to the station, he chatted about their trip. “You’re going to see some great scenery. Going eastward, you’ll pass mountains and thousands of lakes and forests, as well as wide rivers and large cities. Some people have the idea that you can cross Canada in less than five days, but they forget the fact that Canada is 5,500 kilometres from coast to coast. Here in Vancouver, you’re in Canada’s warmest part. People say it is Canada’s most popular cities to live in. Its population is increasing rapidly. The coast north of Vancouver has some of the oldest and most beautiful forests in the world. It is so wet there that the trees are extremely tall, some measuring over 90 metres.” That afternoon aboard the train, the cousins settled down in their seats. Earlier that day, when they crossed the Rocky Mountains, they managed to catch sight of some mountain goats and even a grizzly bear and an eagle. Their next stop was Calgary, which is famous for the Calgary Stampede. Cowboys from all over the world come to compete in the Stampede. Many of them have a gift for riding wild horses and can win thousands of dollars in prizes. After two days’ travel, the girls began to realize that Canada is quite empty. At school, they had learned that most Canadians live within a few hundred kilometres of the USA border, and Canada’s population is only slightly over thirty million, but now they were amazed to see such an empty country. They went through a wheat-growing province and saw farms that covered thousands of acres. After dinner, they were back in an urban area, the busy port city of Thunder Bay at the top of the Great Lakes. The girls were surprised at the fact that ocean ships can sail up the Great Lakes. Because of the Great Lakes, they learned, Canada has more fresh water than any other country in the world. In fact, it has one-third of the world’s total fresh water, and much of it is in the Great Lakes. That night as they slept, the train rushed across the top of Lake Superior, through the great forests and southward towards Toronto. “THE TRUE NORTH” FROM TORONTO TO MONTREAL The next morning the bushes and maple trees outside their windows were red, gold and orange, and there was frost on the ground, confirming that fall had arrived in Canada. Around noon they arrived in Toronto, the biggest and most wealthy city in Canada. They were not leaving for Montreal until later, so they went on a tour of the city. They went up the tall CN Tower and looked across the lake. In the distance, they could see the misty cloud that rose from the great Niagara Falls, which is on the south side of the lake. The water flows into the Niagara River and over the falls on its way to the sea. They saw the covered stadium, home of several famous basketball teams. As they walked north from the harbour area, Li Daiyu said, “Lin Fei, one of my mother’s old schoolmates, lives here. I should phone her from a telephone booth.”

高中数学必修五知识点详细解答附答案

姓名____________ 20XX 年____月_____日 第___次课 正、余弦定理 一。知识回顾:在初中我们知道:(1)在三角形中,大边对大角、大角对大边的边角关系; (2)在直角三角形中,sinA= a c ,sinB= b c ?c=sin a A ,c=sin b B ? sin a A =sin b B ,又Q sinC=1?sin a A =sin b B =sin c C 二。学习提纲: <一>.正弦定理: (1)概念:在一个三角形中,各边与它所对应角的正弦比相等,即: sin a A =sin b B =sin c C (2)证明: j r C ①几何证明法:(略,同学们自己证明) ②向量证明: 证明:(如图)当?ABC 为锐角三角形时, A B 过A 作单位向量j r ⊥AB u u u r ,则j r 与AB u u u r 的夹角为2π,j r 与BC uuu r 的夹角为2π-B ,j r 与CA u u u r 的夹角为2π +A ; 设AB=a,BC=c,AC=b. Q AB u u u r +BC uuu r +CA u u u r =0r ,∴j r g (AB u u u r +BC uuu r +CA u u u r )=j r g 0r ∴j r g AB u u u r +j r g BC uuu r +j r g CA u u u r =0 ∴|j r |g |AB u u u r |g cos 2π+|j r |g |BC uuu r |g cos(2π-B )+|j r |g |CA u u u r |g cos 2 π +A )=0 ∴asinB=bsinA,即:sin a A =sin b B 同理可得:sin b B =sin c C ,故:sin a A =sin b B =sin c C 当?ABC 为钝角三角形或直角三角形时,同样可证明得到:sin a A =sin b B =sin c C (3)正弦定理的变形: ①asinB=bsinA; csinB=bsinC; asinC=csinA; ②a :b:c=sinA:sinB:sinC ③ sin a A =sin b B =sin c C =2R (R 为?ABC 外接圆的半径) ?a=2RsinA; b=2RsinB; c=2RsinC ? sinA=2a R sinB=2b R sinC=2c R (二)余弦定理: (1)概念:三角形中任何一边的平方等于其他两边的平方的和减去这两边与他们的夹角的余弦的积的两倍,即: 2 a =2 b +2 c -2bccosA; 2 b =2 a +2 c -2accosB; 2 c =2 a +2 b -2abcosC 变形:2 sin A=2 sin B+2 sin C-2sinBsinCcosA 2 sin B=2 sin A+2 sin C-2sinAsinCcosB 2 sin C=2 sin A+2 sin B-2sinAsinBcosC 求角:cosA=2222bc b c a +- , cosB=2222c a c b a +-, cosC=222b 2a c ab +- 变形:cosA=222sin sin sin 2sin sin A B C A B +-,cosB=222sin sin sin 2sin sin A C B A C +-,cosC=222sin sin sin 2sin sin A B C A B +- (2)勾股定理:2 c =2a +2b 推广:A 为锐角→222a b c <+;A 为直角→222a b c =+;A 为钝角→222 a b c >+ (3)三角形的面积公式: ①ABC S ?=12ah ②ABC S ?=12absinC=12bcsinA=1 2 acsinB ③ABC S ?(p=12(a+b+c) ④ABC S ?=4abc R (4)对于任意的三角形,都有:sinA>0

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Li Daiyu and her cousin Liu Qian were on a trip to Canada to visit their cousins in Montreal on the Atlantic coast. Rather than take the aeroplane all the way, they decided to fly to Vancouver and then take the train west to east across Canada. The thought that they could cross the whole continent was exciting. Their friend, Danny Lin, was waiting at the airport. He was going to take them and their baggage to catch "The True North", the cross-Canada train. On the way to the station, he chatted about their trip. "You're going to see some great scenery. Going eastward, you'll pass mountains and thousands of lakes and forests, as well as wide rivers and large cities. Some people have the idea that you can cross Canada in less than five days, but they forget the fact that Canada is 5,500 kilometres from coast to coast. Here in Vancouver, you're in Canada's warmest part. People say it is Canada's most beautiful city, surrounded by mountains and the Pacific Ocean. Skiing in the Rocky Mountains and sailing in the harbour make Vancouver one of Canada's most popular cities to live in. Its population is increasing rapidly. The coast north of Vancouver has some of the oldest and most beautiful forests in the world. It is so wet there that the trees are extremely tall, some measuring over 90 metres." That afternoon aboard the train, the cousins settled down in their seats. Earlier that day, when they crossed the Rocky Mountains, they managed to catch sight of some mountain goats and even a grizzly bear and an eagle. Their next stop was Calgary, which is famous for the Calgary Stampede. Cowboys from all over the world come to compete in the Stampede. Many of them have a gift for riding wild horses and can win thousands of dollars in prizes. After two days' travel, the girls began to realize that Canada is quite empty. At school, they had learned that most Canadians live within a few hundred kilometres of the USA border, and Canada's population is only slightly over thirty million, but now they were

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(3)三角形中大边对大角,小边对小角; (4)正弦定理中,a =2R ·sin A , b =2R ·sin B , c =2R ·sin C ,其中R 是△ABC 外接圆半径. (5)在余弦定理中:2bc cos A =222a c b -+. (6)三角形的面积公式有:S = 21ah , S =21ab sin C=21bc sin A=2 1 ac sinB , S =))(()(c P b P a P P --?-其中,h 是BC 边上高,P 是半周长. 2、利用正、余弦定理及三角形面积公式等解任意三角形 (1)已知两角及一边,求其它边角,常选用正弦定理. (2)已知两边及其中一边的对角,求另一边的对角,常选用正弦定理. (3)已知三边,求三个角,常选用余弦定理. (4)已知两边和它们的夹角,求第三边和其他两个角,常选用余弦定理. (5)已知两边和其中一边的对角,求第三边和其他两个角,常选用正弦定理. 3、利用正、余弦定理判断三角形的形状 常用方法是:①化边为角;②化角为边. 4、三角形中的三角变换 (1)角的变换 因为在△ABC 中,A+B+C=π,所以sin(A+B)=sinC ;cos(A+B)=-cosC ;tan(A+B)=-tanC 。 2 sin 2cos ,2cos 2sin C B A C B A =+=+; (2)三角形边、角关系定理及面积公式,正弦定理,余弦定理。 r 为三角形内切圆半径,p 为周长之半 (3)在△ABC 中,熟记并会证明:∠A ,∠B ,∠C 成等差数列的充分必要条件是∠B=60°;△ABC 是正三角形的充分必要条件是∠A ,∠B ,∠C 成等差数列且a ,b ,c 成等比数列.

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