題目列表(包括答案和解析)
Marie Curie was a Polish-born physicist and chemist and one of the most famous scientists of her time. Together with her husband Pierre, she won the Nobel Prize in 1903, and another one in 1911.
Marie Sklodowska was born in Warsaw on 7 November 1867, the daughter of a teacher. In 1891, she went to Paris to study physics and maths at the Sorbonne where she met Pierre Curie, professor of the School of Physics. They married in 1895.
The Curies worked together studying radioactivity(放射性), building on the work of the German physicist Roentgen and the French physicist Becquerel. In July 1898, the Curies announced the discovery of polonium(釙). At the end of the year, they announced the discovery of another, radium(鐳). The Curies, along with Becquerel, won the Nobel Prize for Physics in 1903.
Pierre’s life was cut short in 1906 when he was knocked down and killed by a carriage. Marie took over his teaching post, becoming the first woman to teach at the Sorbonne, and devoted (獻身于) herself to continuing the work that they had begun together. She received a second Nobel Prize, for Chemistry, in 1911.
The Curies’ research was important in developing X-rays in surgery. During World WarⅠ, Marie helped fixed X-ray equipment, which she herself drove to the front lines. She helped train doctors for the International Red Cross.
Although she achieved much success, men scientists in France were still against Marie, and she never received any financial help from her work. By the late 1920s her health was beginning to become worse. She died on 4 July 1934 from her dangerous research. The Curies’ eldest daughter Irene was a scientist and winner of the Nobel Prize for Chemistry.
【小題1】All the following people contributed to Marie’s first Nobel Prize EXCEPT _____.
| A．Irene | B．Pierre | C．Becquerel | D．Roentgen |
| A．won her respect from men scientists |
| B．brought her some financial help |
| C．had a bad effect on her health |
| D．had no influence on her children |
| A．①④⑤③② | B．③⑤④①② | C．⑤④①③② | D．②③⑤①④ |
| A．She married at the age of 28. |
| B．Her parent was a teacher. |
| C．She was the first woman teacher at the Sorbonne. |
| D．She helped the International Red Cross fix X-ray equipment. |
C
(1)Mr. Brown(the motorist)
At about 9∶20 p.m. on October 14th, I was driving along Market Road in the direction of Midwick. I wanted to go to Sturham to collect my wife, who had been visiting some friends. I prepared to turn into Sturham Road, which was on my right. In the distance, I saw the lights of a car moving towards me but it was a long way from me. I put out my hand to show that I was going to turn right. Then I started to turn slowly towards Sturham Road. Suddenly there was a loud noise on the passenger’s (near) side of the car. I stopped the car and got out. A motorcycle had hit my car. The motorcyclist had been thrown over the car. He was injured, so I ran to a shop to phone for help.
(2)Mr. Smith (the injured motorcyclist)
On the evening of October 14th, I was going home along Market Road towards Newtown. I was riding my motorcycle. I was going slowly because some of the streetlights were out and the road was wet and slippery. Just before Sturham Road, a car suddenly drove right across my path. The driver did not flash his lights to give a warning. I could not turn in time, so I hit the side of the car. When I woke up, I was lying in a hospital in Market Road.
(3)Mr. Lee (another motorcyclist)
At about 9∶10p.m.on October 14th, I left my home in Midwick. Ten minutes later I was riding my motorcycle along Market Road. I was going to Newtown. There was a motorcycle about 40 metres in front of me. It was not going very quickly. The man on it was riding near the curb(路邊) but I was near the center of the road. The motorcyclist in front of me tried to turn to his right but there was no time. He hit the car and was injured. There was no car going along in front of us or put by the road.
50．Which or these pictures exactly shows the scene of the accident?
X＝the place where the motorcycle hit the car; N＝Newtown; M＝Midwick; S＝Sturham. (Note that cars and motorcycles always keep to the left in England.)
51．Which of these statements about the accident is probably correct?
A．Mr. Brown wrongly supposed that the lights of the two motorcycles were those of a car.
B．The lights of the car moving towards Mr. Brown made him unable to see.
C．Mr. Brown knocked down a motorcyclist on purpose.
D．The accident was caused by the carelessness of the first motorcyclist.
52．It seems probable from the statements that Mr. Brown_______.
A．gave no signal to show that he was turning right
B．did not give any signal until he was actually turning
C．failed to give a proper signal at that time
D．flashed his light to show that he was going to turn
53．We would expect to find that Mr. Brown’s car was damaged on its______ side.
A．front B．left C．right D．driver’s
對話填空（共10小題；每小題1分，滿分10分）
L＝Li Ying X＝Xie Fei
( Xie Fei seems to be upset , so Li Ying goes to talk with him )
L: Hi , Xie Fei . What do you 1. f like doing during the coming winter holiday ?
X: I may have lots of things to do .
L : Don’t be upset . What happened ?
X: My parents plan to2.a a baby in this winter vacation in 3.s of my opinion .
L: So you’ll have to look4.a the baby . But why ?
X: They think I’ve5.g into bad habits and I’m especially lazy and impatient . They seem a little 6.d with me . They think taking care of a baby will possibly change me . But I don’t think I’m lazy . You know I have little housework to do , because my family is a 7.t one-child family .
L: In my opinion , their decision is reasonable . You’ll understand them 8.f .
X: I hope so .
( On the first day of the new term , Li Ying comes across Xie Fei on the way to school )
L : How was your winter vacation ?
X: It’s great . I have learned a lot . During the holiday , I have learned to do with a great 9.d of housework and how to care about others . Taking care of a baby made me more responsible .
L: That’s great . As the10.s goes , “ No pains , no gains . ”
X: Yes , I agree with you .
Marie Curie was a Polish-born physicist and chemist and one of the most famous scientists of her time. Together with her husband Pierre, she won the Nobel Prize in 1903, and another one in 1911.
Marie Sklodowska was born in Warsaw on 7 November 1867, the daughter of a teacher. In 1891, she went to Paris to study physics and maths at the Sorbonne where she met Pierre Curie, professor of the School of Physics. They married in 1895.
The Curies worked together studying radioactivity(放射性), building on the work of the German physicist Roentgen and the French physicist Becquerel. In July 1898, the Curies announced the discovery of polonium(釙). At the end of the year, they announced the discovery of another, radium(鐳). The Curies, along with Becquerel, won the Nobel Prize for Physics in 1903.
Pierre’s life was cut short in 1906 when he was knocked down and killed by a carriage. Marie took over his teaching post, becoming the first woman to teach at the Sorbonne, and devoted (獻身于) herself to continuing the work that they had begun together. She received a second Nobel Prize, for Chemistry, in 1911.
The Curies’ research was important in developing X-rays in surgery. During World WarⅠ, Marie helped fixed X-ray equipment, which she herself drove to the front lines. She helped train doctors for the International Red Cross.
Although she achieved much success, men scientists in France were still against Marie, and she never received any financial help from her work. By the late 1920s her health was beginning to become worse. She died on 4 July 1934 from her dangerous research. The Curies’ eldest daughter Irene was a scientist and winner of the Nobel Prize for Chemistry.
1.All the following people contributed to Marie’s first Nobel Prize EXCEPT _____.
A．Irene B．Pierre C．Becquerel D．Roentgen
2.We can know from the text that Marie’s work______.
A．won her respect from men scientists
B．brought her some financial help
C．had a bad effect on her health
D．had no influence on her children
3.Which is the right order of the following events?
①Marie became a teacher at the Sorbonne.
②Marie helped train doctors.
③The Curies discovered polonium.
④The Curies won the Nobel Prize for Physics.
⑤The Curies discovered radium.
A．①④⑤③② B．③⑤④①② C．⑤④①③② D．②③⑤①④
4.Which of the following about Marie is NOT true?
A．She married at the age of 28.
B．Her parent was a teacher.
C．She was the first woman teacher at the Sorbonne.
D．She helped the International Red Cross fix X-ray equipment.
對話填空（共10小題；每小題1分，滿分10分）
L＝Li Ying X＝Xie Fei
( Xie Fei seems to be upset , so Li Ying goes to talk with him )
L: Hi , Xie Fei . What do you f like doing during the coming winter holiday ?
X: I may have lots of things to do .
L : Don’t be upset . What happened ?
X: My parents plan toa a baby in this winter vacation in s of my opinion .
L: So you’ll have to looka the baby . But why ?
X: They think I’veg into bad habits and I’m especially lazy and impatient . They seem a little d with me . They think taking care of a baby will possibly change me . But I don’t think I’m lazy . You know I have little housework to do , because my family is a t one-child family .
L: In my opinion , their decision is reasonable . You’ll understand them f .
X: I hope so .
( On the first day of the new term , Li Ying comes across Xie Fei on the way to school )
L : How was your winter vacation ?
X: It’s great . I have learned a lot . During the holiday , I have learned to do with a great d of housework and how to care about others . Taking care of a baby made me more responsible .
L: That’s great . As thes goes , “ No pains , no gains . ”
X: Yes , I agree with you .
1．C 2．A 3．B 4．D 5．C 6．B 7．D 8．C 9．B 10．A
11．120° 12．3x＋y－1＝0 13．
14．10 15．100 16．（1），（4）
17．解：（1）設(shè)拋物線
，將（2，2）代入，得p＝1． …………4分
∴y2=2x為所求的拋物線的方程．………………………………………………………5分
（2）聯(lián)立
消去y，得到
． ………………………………7分
設(shè)AB的中點為
，則
．
∴ 點
到準(zhǔn)線l的距離
．…………………………………9分
而
，…………………………11分
，故以AB為直徑的圓與準(zhǔn)線l相切．…………………… 12分
（注：本題第（2）也可用拋物線的定義法證明）
18．解：（1）在△ACF中，
，即
．………………………………5分
∴
．又
，∴
．……………………
7分
（2）
． ……………………………14分
（注：用坐標(biāo)法證明，同樣給分）
19．
解法一：（1）連OM，作OH⊥SM于H．
∵SM為斜高，∴M為BC的中點，∴BC⊥OM．
∵BC⊥SM，∴BC⊥平面SMO．
又OH⊥SM，∴OH⊥平面SBC．……… 2分
由題意，得
．
設(shè)SM＝x，
則
，解之
，即
．………………… 5分
（2）設(shè)面EBC∩SD＝F，取AD中點N，連SN，設(shè)SN∩EF＝Q．
∵AD∥BC，∴AD∥面BEFC．而面SAD∩面BEFC＝EF，∴AD∥EF．
又AD⊥SN，AD⊥NM，AD⊥面SMN．
從而EF⊥面SMN，∴EF⊥QS，且EF⊥QM．
∴∠SQM為所求二面角的平面角，記為α．……… 7分
由平幾知識，得
．
∴
，∴
．
∴
，即所求二面角為
． ……………… 10分
（3）存在一點P，使得OP⊥平面EBC．取SD的中點F，連FC，可得梯形EFCB，
取AD的中點G，連SG，GM，得等腰三角形SGM，O為GM的中點，
設(shè)SG∩EF＝H，則H是EF的中點．
連HM，則HM為平面EFCB與平面SGM的交線．
又∵BC⊥SO，BC⊥GM，∴平面EFCB⊥平面SGM． …………… 12分
在平面SGM中，過O作OQ⊥HM，由兩平面垂直的性質(zhì)，可知OQ⊥平面EFCB．
而OQ
平面SOM，在平面SOM中，延長OQ必與SM相交于一點，
故存在一點P，使得OP⊥平面EBC． ……………………… 14分
，
，
，
． ……………… 1分
，
，
，
．
，
．
＝（0，1，0），由題意，得
．解得
．
． …………………………………………………… 5分
，
． ………………………………6分
，
，得
解得
∴
．………………… 8分
，∴
．…………… 10分
點．證明如下：
． ………………………… 11分
，令
與n2共線，則
． ……………… 13分
．故存在P∈SM，使OP⊥面EBC．………………………
14分
＝
． ………………3分
＝
=
≥
． …………6分
，
，
，∴公比
．……9分
． …………………………………………10分
． ……………12分
…
…
．……15分21．解：（1）∵
，
，∴
，∴
． 1分
，即
，∴
． …3分
，即
時，上式不成立．………………………………………………4分
，即
時，
．由條件
，得到
．
，解得
或
． ……………………………………………5分
，解得
或
．…………………………………………6分
m的取值范圍是
或
． ………………………………………7分
，即
．
，則
．
． ………………………10分
有相異兩實根
．
，∴
顯然
，
，
，∴
，∴
． …………12分
．
為三次函數(shù)
的極小值點，故
只有一個實根．…………………………15分