Suppose(假设) you are going to Boston, and you 1 the city

　　before. 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 find

　　the 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 visited

　　C. have never visited D. have ever visit

　　2. A. answers B. shows C. meets D. tells

　　3. A. begin B. like C. learn D. refuse

　　4. A. clever B. clear C. strange D. wrong

　　5. A. someone B. Boston C. them D. it

　　6. A. if B. though C. whether D. since

　　7. A. helps B. gives C. passes D. shows

　　8. A. not B. no C. some D. much

　　9. A. of B. to C. in D around

　　10. A. thought over B. heard about

　　C. written down D talked with

　　11. A. with B. for C. of D to

　　12. A. need to have B. don’t need C needn’t D. in need of

　　13. A. help B. to help C. helps D help with

　　14. A. try your best B. take your place

　　C. look up D walk on

　　15. A. keep B. send C. lead D. ask

　　【导师点评】

　　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”。