題目列表(包括答案和解析)
第二節 完形填空 (共20小題；每小題1分，滿分20分)
請認真閱讀下面短文，從短文后各題所給的A、B、C、D四個選項中，選出最佳選項，并在答題卡上將該項涂黑。
I have enjoyed this memory for many years - with gratitude for such an act of kindness.
“You probably don’t remember me,” she began, “ 36 I have come back to apply for Graduation with Distinction.” And then she 37 a piece of paper from her bag and gave it to me to read. It was my 38__, but I didn’t remember writing it.
As the Assistant Director of the Honors Programs at the university, one of my 39 was to review student transcripts (成績報告單) to make sure they met 40 for continuing in Honors. It was not uncommon for freshmen to have a rough start and be 41 that they could no longer continue in Honors after their first semester (學期).
Sometimes second semester report cards would be sent to us anyway, 42 students were no longer in the program.
The note she handed me 43 , “Congratulations on your 44 second semester. While I know you may have been 45 by your low grades, you should feel wonderfully proud of how you have turned your effort around. That is a(n) 46 achievement! Best of luck in keeping up the good work, and remember with a 3.5 average (which you can do) by your last semester, you will 47 requirements for Graduation with Distinction.”
I didn’t remember sending the 48 handwritten(and not very neatly) on the bottom of her 49 semester transcript.
The student went on and said, “You can’t know what this 50 to me. I have carried it for three years and pulled it out 51 I didn’t want to do my work. For three years I have been planning on walking into your office and giving you this note and this transcript.” She handed me her 52 transcript, 3.502. “I would like the paperwork for Graduation with Distinction.”
She cried and I wanted to. To 53 the note seemed like 54 to me, but had meant so much to her. I 55 had no idea my actions had such meaning.
36. A. when B. so C. and D. but
37. A. pulled out B. put away C. wrote down D. picked up
38. A. behavior B. handwriting C. pen D. possession
39. A. dreams B. ideas C. jobs D. plans
40. A. purposes B. orders C. needs D. requirements
41. A. explained B. hidden C. warned D. informed
42. A. even though B. as long as C. as though D. so that
43. A. told B. read C. pronounced D. sent
44. A. tiring B. puzzling C. excellent D. poor
45. A. excited B. amazed C. satisfied D. disappointed
46. A. real B. false C. impressive D. impossible
47. A. miss B. meet C: reduce D. borrow.
48. A. note B. parcel C. card D. memory
49. A. second B. third C. fourth D. first
50. A. suggested B. meant C. adapted D. happened
51. A. anyway B. anywhere C. anyhow D. anytime
52. A. worst B. smallest C. latest D. oldest
53. A. write B. get C. receive D. copy
54. A. something B. everything C. anything D. nothing
55. A. reasonably B. really C. slightly D. probably
完形填空 (共20小題；每小題1分，滿分20分)
請認真閱讀下面短文，從短文后各題所給的A、B、C、D四個選項中，選出最佳選項，并在答題卡上將該項涂黑。
Alice, my friend’s daughter, goes to an expensive private school where she has a friend, Jane, who is on a full scholarship at this school. Jane has 36 economic resources—her father has been dead for years and her mother works 37 a maid. Although her mother works very hard, she can 38 support the family. Jane is very bright and gifted at 39 and that’s how she has got the scholarship, which included a(n) 40 for things like lunch, school uniform and music lessons.
Alice became friends with Jane and would 41 talk to her at lunch. She did it that way in order to avoid the other kids 42 her.
On her birthday last month, she 43 her new friend to her birthday party, but Jane said she couldn’t come. Alice wanted her to be 44 so much that she 45 on her coming. Eventually, the girl said, “I don’t have any 46 clothes that I could wear at your birthday party.” After a brief pause, the girl remembered, “I have a 47 from my piano performance,” and asked, “Could I 48 a skirt from you?”
Alice was happy that her friend would be 49 to come and hurried home to ask her Mum 50 she could lend her friend one of her skirts. To her surprise, her Mum said, “No.” The daughter was very 51 and angrily said to her Mum, “ 52 I could, I would give my friend all my clothes.” The Mother didn’t understand why her daughter should have had such an outburst as she’s normally very well 53 .
Finally, Alice explained to her Mother her friend’s 54 . Her Mother immediately changed her mind and said, “Yes.” She also encouraged her daughter not to feel like she should secretly be friends with Jane but to feel proud of her 55 with her.
So the true friendship seeks to give, not to take; to help, not to be helped; to minister, not to be ministered unto.
36. A. personal B. extra C. limited D. adequate[
37. A. for B. with C. like D. as
38. A. hopefully B. obviously C. hardly D. temporarily
39. A. music B. drawing C. maths D. biology
40. A. bonus B. allowance C. donation D. pension
41. A. secretly B. happily C. quietly D. eagerly
42. A. pointing at B. shouting at C. laughing at D. glaring at
43. A. took B. invited C. accompanied D. sent
44. A. happy B. independent C. confident D. present
45. A. depended B. insisted C. focused D. agreed
46. A. casual B. comfortable C. nice D. tight
47. A. shirt B. jeans C. handbag D. necklace[
48. A. get B. copy C. order D. borrow
49. A. free B. able C. glad D. willing
50. A. how B. when C. why D. whether
51. A. stubborn B. upset C. firm D. enthusiastic
52. A. If B. When C. Unless D. Though
53. A. treated B. controlled C. educated D. behaved
54. A. cleverness B. character C. circumstances D. competences
55. A. study B. friendship C. sympathy D. performance
完形填空（共20小題，每小題1分，滿分20分）
閱讀下面短文，掌握其大意，然后從各題所給的A、B、C、D四個選項中，選出最佳選項。
I moved to a new neighborhood two months ago. In the house with a large 1 across the road lived a taxi driver, a single parent with two school-aged children. At the end of the day, he would 2 his taxi on the road. I 3 why he did not park it in the garage.
Then one day I learnt that he had another car in his garage. In the afternoon he would come home 4 work, leave his taxi and go out for his 5 affairs in his other car, not in his taxi. I felt it was 6 .
I was curious to see his personal car but did not make it until I 7 to be outside one evening two weeks 8 , when the garage door was 9 and he drove out in his “own” car: a Rolls-Royce（勞斯萊斯）! It shook me completely 10 I realized what that meant. You see, he was a taxi driver. But 11 inside, he saw himself as something else: a Rolls-Royce owner and a（n） 12 . He drove others in his taxi but himself and his children in his Rolls-Royce. The world looked at his taxi and 13 him a taxi driver. But for him, a taxi was just something he drove for a living. Rolls-Royce was something he drove for a (n）14.
We go to bed every night and 15 every morning as parents or children, not as bankers, CEOs or professors. We go for a 16 as close friends or go for a vacation as a 17 . We love life as it is. Yet often, we base our entire happiness and success on how high we 18 the social ladder—how much bigger and better a 19 we have. And we ignore our Rolls-Royce, by keeping it dusty in our garage. We should focus more on 20 we are than what we do!
1. A．window B．garage C．door D．yard
2. A．park B．stop C．check D．repair
3. A．knew B．understood C．asked D．wondered
4. A．for B．out of C．without D．from
5. A．business B．national C．personal D．public
6. A．wasteful B．useful C．wonderful D．plentiful
7. A．appeared B．intended C．expected D．happened
8. A．later B．more C．ago D．before
9. A．broken B．fine C．shut D．open
10. A．once B．before C．when D．until
11. A．far B．deep C．long D．little
12. A．driver B．engineer C．father D．son
13. A．called B．made C．elected D．turned
14. A．experience B．earning C．life D．position
15. A．stay up B．wake up C．stay home D．go home
16. A．competition B．performance C．debate D．party
17. A．family B．company C．team D．whole
18. A．build B．climb C．stand D．lay
19. A．garden B．garage C．car D．taxi
20. A．who B．what C．which D．where
完形填空（共20小題；每小題1.5分，滿分30分）
閱讀下面短文，從短文后各題所給的A、B、C、D四個選項中，選出最佳選項。
Nowadays, a hospital always manages to keep its beds full. This is good on the one hand, and it’s bad on 36 hand.
One day, I went to see a sick friend at the hospital. I first went to the 37 desk, where I could get a permit to visit the patient.
38 I could ask which room my friend was in, the lady set down my name, age, filled out a form and 39 a bell. I was just about to tell her what I was coming for when two men arrived with a wheelchair, 40 me in it and pushed me down the hall.
“I’m not 41 ,” I shouted. “I’m just looking for a friend.”
“When he comes,” one man said, “we’ll 42 him up to your room.”
In a minute I 43 myself in a small room. In no time they undressed me and covered some other things 44 me. One man said “If you need anything, press the button.”
“I want to get my 45 back.” I begged.
“Oh, you can 46 us,” a voice said, “Even if the 47 happens, we will see that your wife will get everything.” They left and locked the door 48 them.
I was trying to think of how to escape by the door when Dr. Ward came in with several of his 49 .
“Thank God you finally came,” I said.
“It hurts that badly?” he asked.
“No, on the contrary, I am not ill 50 .”
Dr. Ward looked 51 . “If you don’t feel any pain, that means it’s much more 52 than we expected.” Then he turned to his students: “This is the most difficult kind of patient to deal with because he refuses to 53 that he is ill. __54__ he won’t tell us where it hurts, he will never be well again until we find the hurt out for 55 by doing exploratory surgery (手術探查) .”
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完型填空（共20小題，每小題1.5分，共30分）
閱讀下列短文，掌握其大意，然后從每題所給的A、B、C、D四個選項中，選出最佳選項。
If we were to keep a record of all the things we worried about during a given period of time，we would discover—in reviewing them—that the great majority of our 16 never come to pass. This means that most of the time we 17 to worrying，even the constructive（建設性的）kind that prompts us to try to come up with a 18 to what is troubling us，is wasted. 19 ，we not only caused ourselves unnecessary mental pain，but also 20 valuable minutes and hours that could have been spent elsewhere.
To 21 this，it is often necessary to subject（使……遭受）potential 22 of worry to the coldly objective. Once，before a major 23 in front of a standing-room-only audience，a member of Arturo Toscanini’s orchestra approached（接近）the great Italian conductor with a terrible 24 on his face．“Maestro（大師），”the musician said 25 ，“my instrument is not working 26 ．I cannot reach the 27 of E-flat．Whatever will I do？We are to 28 a few moments later．”
Toscanini looked with total 29 at the man．Then he 30 kindly and placed an arm around his shoulders．“My friend，”the maestro replied，“do not worry about it．The note E-flat does not 31 anywhere in the music that you will be 32 this evening．”
The next time we find ourselves in the middle of 33 about some matter，we might be wise to 34 and ask ourselves what the odds（幾率）are of the problem really coming to 35 .We may be able to go on to something more constructive．
16．A．dreams B．ideas C．troubles D．failures
17．A．spend B．devote C．expect D．agree
18．A．solution B．suggestion C．promise D．plan
19．A．However B．Otherwise C．Then D．Therefore
20．A．paid back B．cut down C．acted out D．took up
21．A．realize B．organize C．avoid D．operate
22．A．sources B．success C．truth D．gifts
23．A．graduation B．concert C．meeting D．invitation
24．A．sign B．appearance C．mark D．expression
25．A．anxiously B．finally C．eagerly D．seriously
26．A．properly B．mainly C．practically D．firmly．
27．A．part B．point C．signal D．note
28．A．complete B．begin C．manage D．separate
29．A．pleasure B．regret C．silence D．amazement
30．A．shouted B．depended C．smiled D．explained
31．A．appear B．remove C．unfold D．disappear
32．A．enjoying B．1istening C．playing D．conducting
33．A．talking B．worrying C．quarreling D．doubting
34．A．prevent B．trust C．finish D．stop
35．A．end B．pass C．order D．settle
1．解析：
，故選A。
2．解析：∵
，
故選B。
3．解析：由
，得
，此時
，所以，
，故選C。
4．解析：顯然，若
與
共線，則
與
共線；若與共線，則
，即
，得
，∴與共線，∴與共線是與共線的充要條件，故選C。
5．解析：設公差為
，由題意得，
；
，解得
或
，故選C。
6．解析：∵雙曲線
的右焦點到一條漸近線的距離等于焦距的
，∴
，又∵
，∴
，∴
，∴雙曲線的離心率是
。故選B.
7.解析：∵
、
為正實數，∴
，∴
；由均值不等式得
恒成立，
，故②不恒成立，又因為函數
在
是增函數，∴
，故恒成立的不等式是①③④。故選C.
8．解析：∵
，∴
在區間
上恒成立，即
在區間上恒成立，∴
，故選D。
9．解析：∵
，此函數的最小值為
，故選C。
10．解析：如圖，∵正三角形
的邊長為
，∴
，∴
，又∵
，∴
，故選D。
11．解析：∵
在區間
上是增函數且
，∴其反函數
在區間上
是增函數，∴
，故選A
12．解析：如圖，①當
或
時，圓面
被分成2塊，涂色方法有20種；②當
或
時，圓面被分成3塊，涂色方法有60種；
③當
時，圓面被分成4塊，涂色方法有120種，所以m的取值范圍是
，故選A。
13．解析：做出
表示的平面區域如圖，當直線
經過點
時，
取得最大值5。
14.解析：∵
，∴
時，
，又
時，
滿足上式，因此，
，
∴
。
15．解析：設正四面體的棱長為，連
，取的中點
，連
，∵
為
的中點，∴
∥，∴
或其補角為與
所成角，∵
，
，∴
，∴
，又∵
，∴
，∴與所成角的余弦值為
。
16．解析：∵
，∴
，∵點
為
的準線與
軸的交點，由向量的加法法則及拋物線的對稱性可知，點
為拋物線上關于軸對稱的兩點且做出圖形如右圖，其中
為點
到準線的距離，四邊形
為菱形，∴
，∴
，∴
，∴
，∴
，∴向量
與
的夾角為
。
17．(10分)解析：（Ⅰ）由正弦定理得，
，
，…2分
∴
，
，………4分
（Ⅱ）∵
，
，∴
，∴
，………………………6分
又∵
，∴
，∴
，………………………8分
∴
。………………………10分
18.解析：（Ⅰ）∵
，∴
；……………………理3文4分
（Ⅱ）∵三科會考不合格的概率均為
，∴學生甲不能拿到高中畢業證的概率
；……………………理6文8分
（Ⅲ）∵每科得A，B的概率分別為
，∴學生甲被評為三好學生的概率為
。……………………12分
（理）∵
，
，
，
。……………………9分
∴
的分布列如下表：
0
1
2
3
∴的數學期望
。……………………12分
19．(12分)解析：（Ⅰ）
時，
，
，
由
得，
或
………3分
+
0
－
0
+
遞增
極大值
遞減
極小值
遞增
，
………………………6分
（Ⅱ）
在定義域
上是增函數，
對
恒成立，即
………………………9分
又
（當且僅當
時，
）
………………………4分
20．解析：（Ⅰ）∵
∥
，
，∴
，∵
底面
，∴
，∴
平面
，∴
，又∵
平面
，∴
，∴
平面
，∴
。………………………4分
（Ⅱ）∵平面，∴
，
，∴
為二面角
的平面角，………………………6分
，
，∴
，又∵平面，
，∴
，∴二面角的正切值的大小為
。………………………8分
（Ⅲ）過點
做
∥，交于點，∵平面，∴
為在平面內的射影，∴
為與平面所成的角，………………………10分
∵
，∴
，又∵∥，∴和與平面所成的角相等，∴與平面所成角的正切值為
。………………………12分
解法2：如圖建立空間直角坐標系，（Ⅰ）∵，
，∴點
的坐標分別是
，
，
，∴
，
，設
，∵平面，∴
，∴
，取
，∴
，∴。………………………4分
（Ⅱ）設二面角的大小為
，∵平面的法向量是，平面
的法向量是
，∴
，∴
，∴二面角的正切值的大小為。………………………8分
（Ⅲ）設與平面所成角的大小為，∵平面的法向量是
，
，∴
，∴
，∴與平面所成角的正切值為。………………………12分
21.（Ⅰ） 解析：如圖，設右準線
與軸的交點為
，過點
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