8.14

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8.14 第一篇_典范英语8-14

14.Pass the Ball! 传球!

Chapter 1

Every Friday after school, Tommy went to Grandad‟s house for tea.

Take-away fish and chips with extra-hot curry sauce. Brilliant.

Then, after they‟d eaten, Grandad would get out his scrap album. He liked to talk about the old days.

„You wouldn‟t believe it now, Tom, but I was a champion footballer.

„Did you, Grandad?‟ Tommy would say. „Tell me what happened.‟

Tommy never tired of listening, even thought he‟d heard it all before. It was great. Just the two of them.

But on Saturdays, things were different. Tommy got really embarrassed by his grandad then..

He hated the way Grandad would turn up at school football matches wearing his old team kit.

Shirt, socks, boots. Worst of all, those awful, long white shorts. Yuk. Tommy hated seeing Grandad‟s skinny, purple-veined legs sticking out. They looked horrible.

Chapter 2

„Can‟t you make him stop?‟ Tommy asked his mum. She was folding up his goalie kit for that afternoon‟s match.. „Tom, love,‟ said his mum, „you should be grateful he‟s not your dad. When I was your age, Grandad used to meet me and your Auntie Ruth out of school.

„Then he‟d make us dibble a football all the way home. A mile and a half of sheer torment. I still get wobbly legs just thinking about it.‟

„I wouldn‟t mind that,‟ said Tommy. „It would be great. Can I dribble a football all the way home on Monday?‟ But his mum wasn‟t listening. She was miles away.

„Ooooh,‟ she shuddered. „And there was this little squirt called Trevor Davies. He used to follow us, shouting out rude rhymes.‟

„What sort of rude rhymes?‟ asked Tommy.

„I can‟t remember now. It was a long time ago. Something about droopy knickers, I think.‟

What was rude about droopy knickers? he wondered.

Then he said, „Our new team coach is called Trevor Davies.‟

„Is he thin as a whippet?‟ asked Mum.

„Yes!‟ said Tommy. „How did you know? And his nephew Mike Davies is going to be our striker. It‟s not fair.‟ „Is Mike a good player?‟ asked his mum.

Tommy was torn for a split-second. But he wanted to be truthful, so he sighed and said, „Yes. He is. He‟s brilliant. Mr Davies says that one day soon , he‟s going to be spotted by a talent scout. Then one of the big clubs will whisk him away.‟

An idea struck him. „If Grandad was playing football now, do you think he‟d be famous?‟

„Maybe,‟ said Tommy‟s mum. „But right now you‟ve a match to play. So hero‟s your stuff. Don‟t forget to put your muddy boots in the plastic bag. Oh, and it‟s raining, so I‟ll drop you off at school. Grandad will be at the match. He‟ll bring you home afterwards. All right?‟

Blazing bananas, thought Tommy. No it wasn‟t. But Grandad loved to see him play.

By the time they got the school, the rain had turned to a fine drizzle.

„Do you think they‟ll cancel the game?‟ asked Tommy‟s mum.

„No chance,‟ said Tommy. „Mr Davies said that even snow wouldn‟t stop it. It‟s a dead important match. Forest Hill Juniors hammered us last time. Eight-nil. It was terrible.

„We can‟t lose this one or we‟ll be out of the League Cup.‟

„Oh, right. THAT important,‟ said his mum, ruffling his hair. She was about to give him a kiss, but he managed to embarrassment anyway.

But, oh no! There was Grandad jogging towards them. He had a football under one arm.

„All right our Tom?‟ he said. „Get changed and we‟ll have a warm up.‟

„Grandad,‟growled Tommy,trying to look fierce..‟Everyone‟s looking.‟

„Take no notice ,‟ said Grandad. He was touching his toes, wiggling his shouldes, doing side bends.

„After all,‟he went on. „Not many lads have a grandad who nealy played for England. And don‟t forget that bit of advice I gave you.

„All good goalies watch the striker‟s eyes. Where a player‟s looking, is where he‟s kicking. OK?‟

Tommy sighed. „Yes,Gandad.‟ Then he sloped off to join the rest of the team.

As he got closer, he could see Mike laughing and pointing at him.

„Your grandad hoping to join the team?‟ sneered Mike.

Tommy scowled.

„You leave my grandad alone. He used to be a brilliant player.‟

„Oh, yeah?‟ snorted Mike. „Who‟d he play for then? Tyannosauus Rovers...or was it Diplodocus Hotspurs?‟ „I suppose you think that‟s funny?‟ hissed Tommy.

„We do lads, don‟t we?‟ said Mike. He turned to Tommy‟s team mates. Some of them sniggered.

„Now then. Stop that,‟said Mr Davies stepping in quickly to calm things down. But he couldn‟t help smiking to himself... „Tyrannosaurus Rovers? Ho,ho,ho. Billiant.‟

Tommy glared at Mike and Mr Davies. He flet all hot and and angry. Then he emembered what his mum had sai about Mr Davies. „A little squirt with eyes like fried eggs.‟

That made Tommy feel better. Anyway, by then the ref had come onto the pitch.

He called the team captains together. They tossed a coin to see who‟s kick off. Forest Hill won. They decided to kick into the wind.

Tommy took up his position in goal. He joggled on the spot to keep warm.

He tired to catch the eye of Forest Hill‟s striker. He was too far away.

Instead he spotted his drabdad standing on the side-lines.

He was talking to a short man wearing a smart raincoat. Tommy didn‟t know who he was, but he was smiling and shaking Grandad‟s hand.

Then Grandad pointed to Tommy and waved. He waved back.

Tommy was soon too busy with the game to wonder who the stanger was. Forest Hill were on from and playing to win. In the first fifteen minutes, Tommy had to make four saves!

Then it was save number five. Tommy remembered what Grandad had told him : watch the striker‟s eyes. See where they‟re looking.

Yes! Tommy dived to the right. His feet left the ground. His fingers reached out to catch the ball.

He had it safe, even though he‟d cracked in mud.

Thanks, Grandad, he thought. Great advice!

Tommy flet good...but not for long.

He didn‟t see what happened, but „Double-Decker‟ Dolan was suddenly rolling on the ground. He was cltching his leg.

„Double-Decker‟ was built like a bus. He was also one of their best players. AND Tommy‟s second-best mate. Mr Davies ran onto the pitich. He seemed to be arguing with the ref.

His voice had gone all high and squeaky. He was jabbing his finger right under the ref‟s nose. But it did no good. Double-Decker was carried off the pitch with a sprained ankle. Tommy‟s best mate, „whom‟ Wlgley ran on to subsitute.

The ref blew his whistle and the match began again.

Mike was playing really well. Tommy had to admit it. His ball control was so good, it made you want to cy.

He wasn‟t the only one to notice Mike. The man in the smart raincoat had too. Every time Mike had the ball, he‟d write in his notebook.

But then Mike got too confidebt. He was running backwards shoting:„To me. To me.‟

He didn‟t see Worm Wigley right behind him.

They fell in a tangle of arms and elbows. The ref up to see what was going on.

„I think I‟ve broken my arm,‟ wailed Mike

„It‟s all right for you,‟ moaned Worm thickly. „I think I‟ve broken my nose. It‟sbleeding.‟

„I‟ll give you “broken arm and broken nose”,‟ screeched Mr Davies.

He ran over to where they lay in a heap.

„You need yourheads banging together. You‟re a pair of great wet jrllies. You‟re uined everything. You see that man over there?‟

Twenty-two heads turned to where Mr Davies was pointing. But the man in the smart raincoat had turned away. He was shaking his head.

„He‟s the scout for the local League Club. I‟ve been wanting him to look at Mike for weeks. Now he‟s going away.‟ Chapter3

Mike started crying. Then he tried to stand up. `I can play with a broken arm,` he snivelled. `No problem.‟

`Of course you can„t. Suppose you were tackled. You‟d end up breaking something else and then what would your mum and dad say? „Mr Davies was looking harassed.

Mike started crying again. `Why do I have to play with such a load of idiots?`

„That‟s not fair !`said Tommy.

`You are right there, soon, `said Grandad. He‟d come over to see if he could help.

`Just keep your nose out,‟said Mr Davies.

`Well, Trevor,‟ said Grandad. `I see you‟re just as rude as ever.`

Mr Davies sniffed and turned to Worm.

`And what about you, Worm...I mean William? Think you can still play? he asked.

But by then, Worm`s mum, Patsy, had run over. She was shouting at Mr Davies.

`Don`t you speak to my William like that! Of course he can`t play. I`m taking him down to the hospital. Come along. William ...and don`t drip blood in the car.`

`Now what? `said Mr Davies, looking over to the side of the pitch.

But there was only Paul Peakle, who never wanted to play. He looked as apiece of wet lettuce.

`Jumping Jehosophat!‟ Mr Davies looked up at the sky. `Just my luck.`

Then Tommy saw his grandad tap Mr Davies on the shoulder

Oh, no! thought Tommy. What‟s he going to say?

`All right ,Trevor? `asked Grandad `What‟s the problem?`

`Nothing I can‟t handle,‟said Mr Davies, trying to look as tall as possible.

`One lad short of a full team are you?‟asked Granded, with a lightning grip on the situation.

`Well...`Mr Davies began.

`Are you or not ?`

`Yes I am,‟said Mr Davies, looking as if someone had just popped his balloon.

`Let me play,‟ said Grandad.

`You must be joking, `said Mr Davies.

`Let me play, `said Grandad, `and I‟ll have a word with the talent scout in the smart raincoat. He‟s still a big fan of mine.`

Mr Davies looked amazed. His mouth fell open.

`Right,‟said Grandad.„That‟s settled. But first we‟d better get Mike seen to. Looks like he‟s in pain.

Thanks, `whispered Mike.

`You‟re right there!‟said Grandad,smiling.`Now where do you lads keep the spare kit?`

Chapter4

Tommy could have died. There was Grandad squeezed into the Junior School strip.

His legs looked worse than ever. As for the shirt, it barely reached across his shoulders .

„Now just hold on there, ‟said the ref,coming across to Grandad and Mr Davies.„He can‟t play. He `s a grown-up.‟ If only ,thought Tommy.

„I`m past being one of those,‟said Grandad.„I‟m over the hill and going fast down the other side.I‟ll be seventy next month.‟

„Oh,go on then…‟said the ref. He blew his whistle.

„Let me at‟em,‟said Grandad.

Tommy couldn‟t believe his eyes. His grandad was really good. In fact, he was brilliant.

Ducking and diving, dodging and weaving. His ball control was still masterly. At half-time, the score was one all. Not bad. But Tommy could see Mr Davies was worried. He was chewing his scarf.

Then Tommy got the ball. He looked around. What should he do ? He saw Grandad down the field.

He kicked the ball straight to Grandad‟s feet.

With only a minute to go, Grandad saw his chance. But then he came up against Forest Hill‟s sweeper. She towered over him. Terri„Queen of the Foul‟Taylor went to tackle. But she didn‟t go for the ball.

Instead she caught Grandad behind the knee with her boot.

He was rolling on the floor, holding his knee. It was just outside the penalty area.

„she whipped me legs out from under me, ref.‟ cried Grandad

„I never!‟ yelled Terri. But no one believed her.

The ref blew his whistle.

„He‟ll never be able to take that,‟ thought Tommy.

But Grandad leapt to his feet and placed the ball care.

Seven of the Forest Hill team had made a wall in front of their goal. No one could get through that...or could they? Their goalie was standing on the left. So Grandad kicked the ball with the outside of his foot.

It was a great shot. It swerved over Forest Hill‟s defenders. Bang! Straight into the top right-hand corner of the goal. It was the last kick of the game: 2-1.

Grandad was a hero. The team even tried to carry him off the pitch, but he was too heavy.

They had to make do with slapping his back and shouting, „Come on you Grandad.‟

„Well done,‟ said Mr Davies, pumping Grandad‟s arm up and down till his head wobbled. „I never knew you were so good.‟

„I‟m dead proud, Grandad,‟ said Tommy. And he was.

„There‟s life in the old dog yet,‟ said Grandad.

„Can we dribble your football all the way home then ?‟ said Tommy.

„Certainly,‟ said Grandad and he set off.

„I‟ll be here next week,‟ he said to Mr Davies as he passed. „If you need me.‟

8.14 第二篇_生态文明建设8.14考试题

1、生态系统具有(B),要保护生物物种、生物遗传物质和生态系统的多样性。(单选)

A开放性

B多样性

C自组织性

D复杂性

2、文明可划分为不同的阶段,从(B)可以划分“原始文明”、“奴隶社会文明”、“封建社会文明”、“资本主义社会文明”、“社会主义文明”。(单选) A人类生产方式的变迁

B社会形态

C人类在地球上生活的年代

D有史记载

3、从(C)层面看,生态文明提倡适度消费,追求基本生活需要的满足,崇尚精神和文化的享受。(单选)

A物质

B生产方式

C生活方式

D以上都是【8.14】

4、要树立新的人口意识,共同为实现(D)创造良好的环境。(单选)

A生育文明

B家庭幸福

C人与自然和谐相处

D以上都是

5、要加快转变发展方式,促进人口与资源、环境相协调,在

(A)上,实行双资源优化组合,充分利用人力资源,节约利用物质资源,形成在科技进步基础上的资本密集型和劳动密集型并重的产业结构。(单选)

A生产方式

B消费方式

C分配方式

D以上都是

6、我国每年约有(B

担。(单选)

A100万-120万

B80万-120万

C100万-200万

D180万-220万

7、(B)的工业革命

资源的序幕。(单选)

A17世纪

B18世纪

C19世纪

D20世纪 例出生缺陷发生,给家庭和社会带来沉重负揭开了人类大规模开发利用化石能源和矿产),

8、优化国土空间开发格局,在(A)要树立大国土理念,坚持陆海统筹发展,充分发挥海洋国土作为经济空间、战略通道、资源基地、环境本底和国防屏障的重要作用。(单选)

A陆海层面

B区域层面

C城乡层面

D产业层面

9、过度强调均衡发展,将(A)市场竞争力

A削弱

B增强

C不改变

D不确定

10、健全制度以促进资源节约,其中,(D

这只“看得见的手”弥补市场机制这只“

陷。(单选) 单选) 就是用政府宏观调控看不见的手”的缺。()

A动力机制

B协调机制

C约束机制

D补充机制

11、(B)是指充分利用光、温、水、土、气、热等环境要素,根据污染物的理性性质,通过机械分离、蒸发、点解、磁化、冰冻、加热、凝固等物理和化学反应,使环境中污染物被清除或转化为无害物质。(单选)

A生物修复

B物理与化学修复

C植物修复

D技术修复

12、“减量化、资源化、无害化”是固体废弃物污染防渗的总原则,(A)是通过适宜的手段减少固体废弃物的数量和容积。(单选)

8.14 第三篇_武汉攻略8.12-8.14

8.12(周五)

余姚—武昌

Z32次列车 余姚21:40——武昌7:39

8.13(周六)

武昌站——户部巷——黄鹤楼——昙华林——中华路码头——武汉关码头 汉江路步行街——吉庆街——黎黄陂路——汉口江滩

入住 万友风庭酒店青岛路店

选:中山公园——万松园小吃街(【皇冠蛋糕】的毛毛虫,【牛泰吉】的牛肉粉,

【一代烤翅王】的咪咪辣鸡翅,【俏一味】的炒花甲和【贵哥】卤肉卤藕卷)

户部巷:长150米的百年老巷户部巷是武汉最有名癿“早点一条巷”。蔡林记、石婆婆的热干面(全料、炸酱,推荐炸酱)、徐嫂的鲜鱼糊汤粉、万氏夫妇的米酒、四季美汤包、豆皮、牛杂粉、炸饺。司门口站。司门口的物品性价比高。 黄鹤楼:80元每人(提前一小时网上订票)7:00-18:30。昔人已乘黄鹤去,此地空余黄鹤楼。黄鹤一去不复返,白云千载空悠悠。

昙华林:武昌区的老街区,文艺小清新的店铺。大水的店。34路螃蟹甲站、539路积玉桥站。徐刀刀鲜花饼店,猫盒子杂货店,DREAM-CITY奶茶店等。是适合文艺小青年闲逛的一个地方,可以逛逛创意小店,喝喝咖啡,拍拍照片。

中华路码头——武汉关码头: 武汉轮渡1.5元/人,每20分钟一班,晚上8点后5元/人。

汉江路步行街:1210米,汉口中心地带。看建筑。免费,全天开放。 吉庆街:晚餐地。夜色漂亮,久久鸭脖。中山大道大智路站。

黎黄陂路:604米,看建筑。免费,全天开放。

汉口江滩:租界建筑、长江二桥附近芦苇丛。沿江大道站。

8.14(周日)

万友风庭——晴川阁——古琴台——归元寺——武大——东湖——楚河汉街——武昌站

Z31次列车 武昌21:42——余姚7:39

选湖北省博物馆8:30-17:00

晴川阁:免费。其名取自唐代诗人崔颢诗句“晴川历历汉阳树”。晴川阁与武昌黄鹤楼隔江相望,同是名冠四方的楼阁隔岸相对。

古琴台: 伯牙子期的故事。15元/人,8:00-17:00。琴台大道古琴台站。 归元寺:1小时。20元每人。

武大:有校内巴士,1元/人/次,可乘坐“校多门—湖滨”癿巳士,返趟巳士癿 线路把武大的主要景点串了起来。从凌波门出去可到东湖。公交413、515、552路,在“八一路珞珈山”站下车。

东湖:听涛景区试行免费,磨山景区40元/人(携程阿里去啊美团网购25),落雁景区 10元/人,马鞍山城市森林保护区10元/人。7:00-19:00(可提前一小时网上订票)

楚河汉街:1.5公里长商业步行街,晚上流光十色,还可乘船游玩。主要是民国的建筑风格。汉街东端有“汉秀”剧场、世界唯一的室内电影文化公园、万达电影院、五座名人广场、汉街大戏台、杜莎夫人蜡像馆、汉街文化书城„„还有各种知名品牌店入驻,也适合喜欢逛街的游客。白鹭街站。

特产:周黑鸭、麻烘糕、孝感麻糖、莲子

美食:老村长私募菜(酱油粉蒸肉)

Tips:

武汉通:到达武汉后办理一张武汉通租用版(蓝色卡)可以刷地铁和公交,地铁9折公交8折,关键是不用每次都买地铁票和公交投币,比较方便。办理的话很多车站地铁站都可以办理,用不完可以退钱,押金20元,租金每个月0.4元,退卡时收取手续费2元,退卡的话可以拨打卡后面的客服电话询问最近的退卡点进行退卡即可,如果充值超过100退卡时需要充值小票。

宗关站、桥口路站、利济北路站、江汉路站、黄浦路站;

8.14 第四篇_北京高考数学第8和14题压轴题汇编与答案

E,F分别为 1.如图,正方体ABCD-A1BC11D1中,

棱DD1,AB上的点. 已知下列判断:

①AC^平面B1EF;②DB1EF在侧面BCC1B1上 1的正投影是面积为定值的三角形;③在平面

A1B1C1D1内总存在与平面B1EF平行的直线;④平

面B1EF与平面ABCD所成的二面角(锐角)的大小与点E的位置有关,与点F的位 置无关. 其中正确判断的个数有

(A)1个 (B)2个

(C)3个 (D)4个(B) 2.如图所示,在正方体ABCD-A1B1C1D1中,E是棱DD1A的中点,F是侧面CDD1C1上的动点,且B1F//面A1BE,B

1

D1

则B1F与平面CDD1C1 所成角的正切值构成的集合是 C

A. 2 B.

E

A

B

C

t2} C.

{t|2 }

D. {t|t2

面体OABC外一点.给出下列命题.

D

3. 如图,四面体OABC的三条棱OA,OB,OC两两垂直,OAOB2,OC3,D为四

D

O

B

①不存在点D,使四面体ABCD有三个面是直角三角形 ②不存在点D,使四面体ABCD是正三棱锥 ③存在点D,使CD与AB垂直并且相等

④存在无数个点D,使点O在四面体ABCD的外接球面上 其中真命题的序号是D

(A)①② (B)②③ (C)③ (D)③④

P为正方形4. 在一个正方体ABCDA1BC11D1中,

D1

A1

B1

C1

A1B1C1D1四边上的动点,O为底面正方形ABCD的中心,

M,N分别为AB,BC中点,点Q为平面ABCD内一点,线

段D1Q与OP互相平分,则满足MQMN的实数的值

D

O

N

有 C

ABM

A. 0个 B. 1个 C. 2个 D. 3个

5.

空间点到平面的距离定义如下:过空间一点作平面的垂线,这点和垂足之间的距离叫做

Q

C

这个点到这个平面的距离.平面,,两两互相垂直,点A,点A到平面,

的距离都是3,点P是

上的动点,且满足P到的距离是P到点A距离的2倍,

则点P到平面的距离的最大值是C

(A

)3 (B)3 (C)3(D)6

6.已知函数f(x)的定义域为R,若存在常数m0,对任意xR,有|f(x)|m|x|,则称f(x)为F函数.给出下列函数:①f(x)x2;②f(x)sinxcosx;③

f(x)

x

;④f(x)是定义在R上的奇函数,且满足对一切实数x1,x2均有 2

xx1

f(x1)f(x2)2x1x2.其中是F函数的序号为 C

【8.14】

(A)②④ (B)①③ (C)③④ (D)①②

7. 定义区间(a, b),[a, b),(a, b],[a, b]的长度均为dba,多个区间并集的长度为各区间长度之和,例如, (1, 2)

[3, 5)的长度d(21)(53)3. 用[x]表示不

超过x的最大整数,记{x}x[x],其中xR. 设f(x)[x]{x},g(x)x1,若用d1,d2,d3分别表示不等式f(x)g(x),方程f(x)g(x),不等式f(x)g(x)解集区间的长度,则当0≤x≤2011时,有 B

(A)d11, d22, d32008 (B)d11, d21, d32009 (C)d13, d25, d32003 (D)d12, d23, d32006 8. 下图展示了一个由区间(0,1)到实数集R的映射过程:区间(0,1)中的实数m对应数轴上的点M(如图1);将线段AB围成一个圆,使两端点A、B恰好重合(从A到B是逆时针,如图2);再将这个圆放在平面直角坐标系中,使其圆心在y轴上,点A的坐标为

(0,1)(如图3),图3中直线AM与x轴交于点N(n,0),则m的象就是n,记作

f(m)=n.

图1 图2 则下列命题中正确的是( )C

图3

A.f

1

1 B.fx是奇函数 4

C.fx在其定义域上单调递增 D.fx的图象关于y轴对称

b}表示a,b

两个数中的最大数,设f(x)max{x2(x),那么由函9. 用max{a,

数yf(x)的图象、x轴、直线x

1

4

1

和直线x2所围成的封闭图形的面积是A 4

35 1257C.

8

A.59 2491D.

12

B.

10. 对于定义域和值域均为[0,1]的函数f(x),定义f1(x)f(x),f2(x)f(f1(x)),„,

fn(x)f(fn1(x)),n=1,2,3,„.满足fn(x)x的点x∈[0,1]称为f的n阶周期点.设

1

2x,0x,2

f(x) 则f的n阶周期点的个数是C

22x,1x1,2

(A) 2n

(B) 2(2n-1)

(C) 2n

(D) 2n2

11. 定义在R上的函数f(x)满足f(4)1,f(x)为f(x)的导函数,已知yf'(x)的图象如图所示,若两个正数a,b满足f(2ab)1,则

b1

的取值范围是( C ) a1

11A.(,)

531

C.(,5)

3

1

B.(,)(5,)

3

D.(,3)

12.对于函数①f(x)4x

1

5,x)ol②f(x

x2()

1,③2

x

判断如下两个命题的真假:

命题甲:f(x)在区间(1,2)上是增函数;

命题乙:f(x)在区间(0,)上恰有两个零点x1,x2,且x1x21.

能使命题甲、乙均为真的函数的序号是D

(A)① (B)② (C)①③ (D)①②

13. 已知函数f(x)x2x,g(x)ax2(a>0),若x1[1,2],x2[1,2],使得f(x1)= g(x2),则实数a的取值范围是 D

2

(A) (0,] 14.已知函数f(x)

12

(B) [,3]

x1,

则函数yf[f(x)]1的零点个数是 A

log2x,x0,

12x0,

(C) (0,3] (D) [3,)

(A)4 (B)3 (C)2 (D)1

15. 已知点P是ABC的中位线EF上任意一点,且EF//BC,实数x,y满足

PAxPByPC0.设ABC,PBC,PCA,PAB的面积分别为S,S1,S2,S3, 记

SS1S

1,22,33.则23取最大值时,2xy的值为 A SSS31

(B) (C) 1 (D)2 22

(A)

16. 已知抛物线M:y2=4x,圆N:(x1)2y2r2(其中r为常数,r0).过点(1,0)的直线l交圆N于C、D两点,交抛物线M于A、B两点,且满足AC的直线l只有三条的必要条件是 D

A.r(0,1] B.r(1,2] C.r(,4) D.r[,) 17. 设点A(1,0),B(2,1),如果直线axby1与线段AB有一个公共点,那么ab(A)

2

2

3【8.14】

232

(A)最小值为

1 (B

51 (D

5*

(C)最大值为

18. 已知数列{an} (nÎN)满足:anlogn1(n2) (nN*),定义使a1a2a3......ak

*

为整数的数k (kN)叫做企盼数,则区间[1, 2011]内所有的企盼数的和为 2026

19. 在平面直角坐标系xOy中,O为坐标原点.定义P(x1,y1)、Q(x2,y2)两点之间的“直角距离”为d(P,Q)=x1-x2+y1-y2.若点A(-1,3),则d(A,O)已知点B(1,0),点M是直线kx-y+k+3=0(k>0)上的动点,d(B,M)的最小值

3

2 (k1)

为 . 4  k

2k3 (0k1)

20. 在平面直角坐标系中,定义d(P,Q)x1x2y1y2为两点P(x1,y1),Q(x2,y2)之

间的“折线距离”. 则

坐标原点O

与直线2xy0上一点的“折线距离”的最小值是____; 圆x2y2

1上一点与直线2xy0上一点的“折线距离”的最小值是

____.

5

2

21. 已知函数f(x)aln(x1)x2,在区间(0,1)内任取两个实数p,q,且pq,不等式

f(p1)f(q1)【8.14】

1恒成立,则实数a的取值范围是 .[15,)

pq

22. 定义方程f(x)f(x)的实数根x0叫做函数f(x)的“新驻点”,如果函数g(x)x,

))的“新驻点”分别为,,,那么,h(x)ln(x1),(x)cosx(x(,

,的大小关系是.>>

23.将全体正奇数排成一个三角形数阵: 1 3 5 7 9 11 13 15 17 19 „„

按照以上排列的规律,第n 行(n ≥3)从左向右的第3个数为.

129x24.已知函数f(x)x,则f(0)f(1)Sk1f()f()

kk933

f()

k

示).1,

f(k1

2

k1

)(k2,kZ),则Sk1k的代数式表k

25.已知数列{an}的各项均为正整数,对于n1,2,3,,有

3an5,an为奇数,

an1an

,an为偶数.其中k为使an1为奇数的正整数k2

当a111时,a100______;

*

若存在mN,当nm且an为奇数时,an恒为常数p,则p的值为______.62;1或5

8.14 第五篇_综合教程book5-8-14

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