30Suppose(假设) you are going to Boston, and you 1 the citybefore. If someone 2 you about the interesting places in the city, you __3 to get some ideas of what you will see. But don’t have a 4__ idea of where these places are or of how to find 5 . However, 6__ someone has a map of the city and 7 you the main roads and buildings, you may say, “ Oh, now I see . I can find my way with 8__ trouble at all ”. Working in math is somewhat（有点儿）like trying to find your way 9 a new city. Perhaps the words may tell you some information and you have 10 it, but you can’t see any clear road 11 the answers.Maybe you 12 a kind of map of the main roads in maths 13__ you find your way. Explore（探究）what lies in maths, and 14 to findthe main roads. They will 15 you to the answer. If you can find the “map”, the maths problems will be easily worked out.1. A. are going to visit B. once visitedC. have never visitedD. have ever visit2. A. answers B. shows C. meets D. tells3. A. begin B. like C. learn D. refuse4. A. clever B. clear C. strange D. wrong5. A. someone B. Boston C. them D. it6. A. if B. though C. whether D. since7. A. helps B. gives C. passes D. shows8. A. not B. no C. some D. much9. A. of B. to C. in D around10. A. thought over B. heard aboutC. written down D talked with11. A. with B. for C. of D to12. A. need to have B. don’t need C needn’t D. in need of13. A. help B. to help C. helps D help with14. A. try your best B. take your placeC. look up D walk on15. A. keep B. send C. lead D. ask名师点评文章以在陌生的城市找名胜为例，说明了解决数学最重要的是先找出一条通往答案的路径。

答案简析1．C。

下文表明：你要去的是一个一点儿都不熟悉的城市，说明以前没有去过。

故选have never visited。

2．D。

show意为“带领某人参观某地”或“向某人展示某物”；tell sb. about sth. 意为“告诉某人关于……的情况。

根据下文可知tell为正确选项。

3．A。

文章表明：听了别人的介绍后，你对城市的名胜开始有了一些初步的印象。

故选begin。

4．B。

根据文意，你对名胜的概况只是听说而已，对名胜的具体位置及如何找到所指的名胜不太清楚。

故选clear。

5．C。

指代上文出现的interesting places应用them。

6．A。

根据句意，前半句是后半句的条件状语从句，应用if引导。

7．D。

show sb. sth.意为“把……给某人看”，合符文意，为正确选项。

8．B。

根据地图上的位置，你会毫不费力地找到想去的地方。

故选no。

9．B。

本文是讲如何在一个陌生的城市里找到目的地，而不是找去某个城市的路。

故选in。

10．A。

做数学题时，你肯定要对题目中所给的信息进行思考。

故应选thought over。

11．D。

the road to the answers意为“解决问题的路径”，to为正确选项。

12．A。

根据上文列举的根据地图找名胜的例子可知，做数学题目也需要“地图”。

故应选need to have。

13．B。

这里应该用动词不定式to help you find your way作目的状语才合符句意。

14．A。

try one’s best to do sth.意思是“尽某人最大的努力去做某事”，为正确选项。

15．C。

“lead sb. to某地”意思是“引导某人到达某地”。

31Several years ago I studied in a university in the biggest city in our country. It’s beautiful but it’s hot in __1__. So I usually returned to my hometown when my __2__ began. It is not big, but it’s cool and quiet. I could __3__ in the daytime and have a good sleep at night.One day I had some __4__ to solve. But I didn’t take the dictionaries ho me. My father told me Charlie, one of my __5__, had a good library. I went to his house at once. We didn’t see each other after I __6__ middle school. At first he didn’t recognize me. He __7__ me up and down. And then he called out, “Oh, dear! It’s you, Fred!”Of course we were __8__ to meet each other again and talked a lot about our schoolmates and__9__. Later on he showed me around his library. It wasn’t big but there were a lot of nice books in it. And the dictionaries I __10__ were in them too. At las t I said, “__11__ you lend some dictionaries to me, please?”“I’m sorry I don’t lend any books to __12__,” said the young man.“Are you afraid I’ll __13__ them?”“No, I’m not. I’m afraid you won’t __14__ them to me. Look! All the books are not __15__, but borrowed!”1. A. spring B. summer C. autumn D. winter2. A. birthday B. Saturday C. Sunday D. holiday3. A. study B. play C. rest D. run4. A. words B. sentences C. problems D. stories5. A. brothers B. sisters C. aunts D. classmates6. A. finished B. heard C. saw D. met7. A. lifted B. carried C. looked D. pulled8. A. angry B. happy C. worried D. sad9. A. doctors B. teachers C. workers D. drivers10.A. looked for B. read C. wrote D. looked at11.A. Need B. Must C. May D. Can12.A. other B. the other C. others D. another13.A. lose B. sell C. throw D. know14.A. pay B. return C. use D. look after15.A. made B. picked C. won D. bought名师点评这篇短文主要讲了Charlie家里有许多藏书，却没有一本是自己买的，所以他从不借书给别人，因为他怕别人都和他一样。

本题的不少答案只从缺空所在句子的语意和语法是无法确定的，解题是要联系上下文及一般常识进行推理。

答案简析1.B。

hot应该指的是夏天的天气情况。

2.D。

大学生暑假回家度假。

3.A。

学生暑假应该不忘学习。

4.C。

solve problems意为“解决问题”。

5.D。

根据下文可得知。

6.A。

finish middle school表示“中学毕业”。

7.C。

look sb. up and down表示“上下打量某人”，这时look用作及物动词。

8.B。

老同学相见自然是高兴。

9.B。

同学之间谈论的主要对象一般应该是同学和老师。

10.A。

根据上下文得知“我”正在寻找一本字典。

11.D。

这里指征求别人的意见，故用can。

12.C。

泛指其他人，故用复数。

13.A。

“我”以为他怕我把书弄丢，所以不借。

14.B。