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必修二培优题

发布时间:2013-12-18 16:34:27  

高一年级组2012—2013学年第六次培优试卷

培优试题(数学卷)

一、选择题:

1.已知高与底面的直径之比为2:1的圆柱内接于球,且圆柱的体积为500?,则球的体积为 ( )

A.

500

3

B.

10000

3

C.

200002500

D. 33

2.已知ABCD 是空间四边形,M 、N 分别是AB 、CD 的中点,且AC =4,BD =6,则 ( ) A.1<MN <5 B.2<MN <10 C.1≤MN ≤5 D.2<MN <5 3.空间一个角的两边分别垂直于另一角的两边,则这两个角

A.相等 B.互补

C.相等或互补

( )

D. 不确定

( )

4.正六棱台的两底边长分别为1cm,2cm,高是1cm,它的侧面积为

A.

972

cm 2

B.97cm2 C.

23

3cm

2

D.32cm2

5.将一圆形纸片沿半径剪开为两个扇形,其圆心角之比为3∶4. 再将它们卷成两个圆锥侧面,则两圆锥体积之比为

D.都不对

( )

A.3∶4 B.9∶16 C.27∶64

6.将边长为a的正方形ABCD沿对角线AC折起,使BD=a,则三棱锥D—ABC的体积为

a3a3

A. B. 612

C.

323

a D.a 1212

二、填空题:

7.半径为a的球放在墙角,同时与两墙面和球面相切,那么球心到墙角顶点的距离为 .

8.三棱柱ABC—A1B1C1中,若E、F分别为AB、AC 的中点,平面EB1C1将三棱柱分成体积为V1、V2的两部分,那么V1∶V2= _____.

9.

____________.

(1) (2) (3) (4)

10.已知直线a//平面?,平面?//平面?,则a与?的位置关系为三、解答题:

11.如图,长方体ABCD-A1B1C1D1中被截去一部分,其中EF∥A1D1.剩下的几何体是什么?截

取的几何体是什么?若FH∥EG,但FH<EG,截取的几何体是什么?

12.正四棱台的高,侧棱,对角线长分别为7cm,9cm,11cm,求它的侧面积.

13.三棱锥S-ABC的三条侧棱两两垂直,SA=5,SB=4,SC=3,D为AB中点,E为AC中点,求四棱锥S-BCED的体积.

英语部分

第一部分:完型填空(共20小题;每小题1分,)

阅读下面短文,从短文后所给各题的四个选项A、B、C、D中,选出可以填入空白处的最佳选项。 I’ll never forget May 12 2008. we were having classes at Beichuan Middle School, Sichuan Province, when a At about 2:28 pm, Mr. Wang, was teaching us singing on the fourth floor on the teaching we felt the building shaking violently. It was an earthquake! Our building starting to. desks.ns. We couldn’t move at all. No one could really imagine at (绝望)heard Mr. Wang calling our names again and again… .

Later, and Shanxi. So far it has than 80,000 and injured 360,000. My hometown–---Beichuan was 活力) and laughter, was a dead valley.

Words after such a _____could appear nothing but empty and pointless. So many people’s lives were Now, some of middle school in Jiangsu Province. I still May victims rest in peace. May survivors live to be stronger.

1.A.rain B.earthquake

B.parent C.snow D.rock 2.A.classmate C.friend D.teacher

3.A.Finally B.Luckily C.Suddenly D.Actually

4.A.fall B.stand C.run D.walk

5.A.home B. desks C.classroom D.outdoors

6.A. Minutes B.Weeks C.Hours D.Days

7.A.trapped B.stayed C.played D.packed

8.A.lived B.suffered C.enjoyed D.escaped

9.A.ignored B.recovered C. rescued D.remembered

10.A. all B.some C.none D.each

11.A.found out B.added up C.came up

12.A.devoted B.helped

13.A.outside B.without D.set down C.killed D.concerned C. far from D.among

14.A.now B.once C.then D.never

15.A.attitude B.trouble C.disaster D.insurance

16.A. lives B.damage

17.A.in ruins B.dug out C.highway D.items C.as usual D.set up

C.joined D.organized

C.care about D.go through 18.A.judged B.persuaded 19.A.keep on B.give in

20.A.peaceful B.safe C.grateful D.active

第二部分:阅读理解(共10小题,每小题1分,满分10分)

阅读下列短文,从每题所给的四个选项A、B、C、D中,选出最佳选项。

A

Football is the most popular game in England: one has only to go to one of the important matches to see this. Rich or poor, young or old, one can see them all there, shouting for one side of the other.

To a stranger, one of the most surprising things about football in England is the great knowledge of the game which even the smallest boy seems to have. He can tell you the names of the players in most of the important teams, he has pictures of them and knows the results of large numbers of matches. He will tell you who he expects to win in such and such a match, and his opinion is usually as good as that of men three of four times his age.

In England, it is believed that education is not only a matter of filling the boy’s mind with facts in the classroom; education also means the training of character; and one of the best ways of training character is by means of games. Where the boy and girl have to learn to work with others for his team, instead of for himself alone.

21. Football games are very popular in England among ______.

A. grown-ups

C. all people B. boys only D. boys and girls

22. In England school boys seem ______ football games.

A. to know a great deal about B. not to know much about

C. to know little about D. to know nothing about

23. At football matches, people often ______ one team or the other by shouting.

A. watch B. win over

______.

A. the match

C. the age

25. In England, education means ______.

A. filling the boy’s mind with stories.

B. more than the teaching of knowledge.

C. the teaching of knowledge only. B. the opinion D. the team C. laugh at D. support 24. In the sentence “His opinion is as good as that of men three or four times his age.”“that” means

D. training character by means of football games.

B

A man was tired of living in his old house in the country and wanted to sell it and buy a better one. He tried to sell it for a long time but was not successful. So at last he decided to solve the problem by using an estate agent (财产经纪人).

The agent advertised (为……做广告) the house, and a few days later, the owner saw a very attractive photograph of it, with a wonderful description (描述) of its gardens, in an expensive magazine.

After the house owner had read the advertisement through, he hastened to telephone the estate agent and said to him, “I’m sorry, Mr. Jones, but I’ve decided not to sell my house after all. After reading your advertisement in that magazine. I can see that it’s just the kind of house I’ve wanted to live in all my life.” 26. A man wanted ______.

A. to build a house C. to sale the better house A. using an estate agent 28. The agent ______ the house.

A. refused to advertise

B. advertised

C. wanted to buy D. wanted to sale 29. A few days later the owner saw ______.

A. a new house B. a photograph of the house C. a famous artist

D. an agent in a magazine

30. After reading the advertisement, the man ______ all his life.

A. wanted to live in the house B. decided to sell the old house C. decided to buy a flat D. decided to move a new house

B. to sell the better house D. to buy a better house B. advertisement

27. At last the man decided to solve the problem by ______.

C. a photograph D. a newspaper

答题卡

物理部分(20分)

1.做匀加速直线运动的物体,速度从0增加到2v,这段时间内通过的位移是x,速度从4v增加到6V,这段时间内的位移是( )

A.6x B.5x C.4x D.2x

2.将甲、乙两物体从同一地点、同一时刻竖直上抛,A的初速度是B的两倍,则他们上升的最大高度之比是( )

A.1:2 B.1:4 C.1:1 D.4:1

3.下列关于运动的描述在现实中可能存在的是

A.物体的速度为0,加速度不等于0

B.一个物体的速度比较大,但加速度比较小

C.物体的速度变化量向东,加速度向西 D.物体向东运动,加速度向西

4.做初速度为零的匀加速运动的物体,将其运动时间顺次分成1:2:3的三段,则每段时间的位移之比为( )

A.1:3:5 B.1:4:9 C.1:8:27 D.1:16:81

5.一物体由静止沿光滑斜面匀加速下滑距离为L时,速度为v,当它的速度是v/2时,沿斜面下滑的距离是( )

A.L B

412 C. L2 D.L 43

6.在“研究匀变速直线运动”的实验中,被小车拖动的纸带,从0 开始每5个点取一个计数点,其中0,1,2,3,4,5,6都为计数点,测得:s1 =1.40cm, s2 =1.90cm, s3 =2.38cm, s4 =2.88cm,

s5 =3.39cm, s6 =3.87cm,则在打点计时器打出点3时,小车的速度是 m/s,小车加速度

大小 m/s2.

7. 一小汽车从静止开始以3m/s2的加速度行驶,恰有一自行车以6m/s的速度从车边匀速

试过,汽车从启动后到追上自行车之前,要经过 s的时间两者相距最远,最远距离是 m。

8.如图所示,小球在光滑斜面上做匀减速直线运动,途中依次经过A、B、C三点,且经过两段的时间间隔分别为tAB =1s,tBC=3s,且AB =4m,BC =6m.

求:(1)小球的加速度;

(2)小球从A点出发经多长时间返回A点?

化学部分

1.向紫色的石蕊试液中加入过量的Na2O2粉末,振荡,观察到的现象为( )

A.产生大量气泡

B.溶液无变化

C.最后溶液变为红色

D.最后溶液变为蓝色

2.下列物质的化学名称、化学式和俗名一致的是( )

A.碳酸钙、CaCO3、生石灰

B.氢氧化钠、NaOH、纯碱

C.碳酸钠、Na2CO3、苏打

D.碳酸氢钠、NaHCO3、苏打

3.有混有少量碳酸氢钠的碳酸钠固体,下列有关提纯碳酸钠的方法中,正确的是( )

A.加入过量的氢氧化钠溶液

B.加入适量的盐酸

C.将固体充分加热,直到质量不变为止

D.加入氯化钙溶液

4.下列说法正确的是( )

A.焰色反应为黄色,说明该物质中肯定含有钠元素

B.某物质的焰色反应不显紫色(未透过蓝色钴玻璃),说明该物质中肯定没有钾元素

C.焰色反应不能用于物质的鉴别

D.焰色反应是化学变化

5.用光洁的铂丝蘸取某无色溶液在无色火焰上灼烧,直接观察到火焰呈黄色,下列各判断正确的是

( )

+++A.只含有Na B.一定含有Na,可能含有K

++++C.既含有Na,又含有K D.可能含有Na,可能还含有K

6.铝分别与足量的稀盐酸和氢氧化钠溶液反应时,当两个反应放出的气体在相同状况下体积相等时,反应中消耗的盐酸和氢氧化钠的物质的量之比为( )

A.1∶1 B.2∶1 C.3∶1 D.1∶3

7.有关Al与NaOH溶液反应的说法中,正确的是( )

A.Al是还原剂,NaOH及H2O均是氧化剂

B.还原产物是H2,且由H2O还原所得的H2与由NaOH还原所得的H2物质的量之比为2∶1

C.此反应说明铝具有两性,铝的活泼性比只具有金属性的金属弱

D.此反应中,只有H2O是氧化剂,NaOH既不是氧化剂也不是还原剂

++8.下列关于Fe2和Fe3的叙述中,错误的是( )

++A.Fe2的水溶液为浅绿色 B.Fe3的水溶液为棕黄色

++C.Fe3具有氧化性,Fe2既具有氧化性又具有还原性

+-D.Fe3溶液中滴入含SCN的溶液,立即出现红色沉淀

9.下列反应,其产物的颜色按红色、红褐色、淡黄色、蓝色顺序排列的是( )

①金属钠在纯氧中燃烧 ②FeSO4溶液中滴入NaOH溶液,并在空气中放置一段时间 ③FeCl3溶液中滴入KSCN溶液 ④无水硫酸铜放入医用酒精中

A.②③①④ B.③②①④ C.③①②④ D.①②③④

10.用下面方法可以制得白色的Fe(OH)2沉淀。

+方法:用不含Fe3的FeSO4溶液与用不含O2的蒸馏水配制的NaOH溶液反应制备。

(1)用硫酸亚铁晶体配制上述FeSO4溶液时还需加入____________。

(2)除去蒸馏水中溶解的O2常采用__________的方法。

(3)生成白色Fe(OH)2沉淀的操作是用长滴管吸取不含O2的NaOH溶液,插入FeSO4溶液液面下,再挤出NaOH溶液。这样操作的理由是______________。

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