问题 计算题

(16分)自由式滑雪空中技巧是一项有极大观赏性的运动,其场地由①出发区、②助滑坡、③过渡区(由两段不同半径的圆弧平滑相连,其中CDE孤的为半径3m,DE孤的圆心角60º)、④ 跳台(高度可选)组成。比赛时运动员由A点进入助滑区做匀加速直线运动,经过渡区后沿跳台的斜坡匀减速滑至跳台F处飞出,运动员的空中动作一般在54km/h到68km/h的速度下才能成功完成,不计摩擦和空气阻力,取g=10m/s2,求:

(1) 某运动员选择由A点无初速滑下,测得他在②、④两段运动时间之比为t1:t2=3:1,,且已知,则运动员在这两坡段运动平均速度之比及加速度之比各为多少?

(2) 另一质量60kg的运动员,选择高h =" 4" m的跳台,他要成功完成动作,在过渡区最低点D处至少要承受多大的支持力。

答案

(1)2:3;2:3(2)7300 N 

题目分析:(1) 两段运动的平均速度之比     

设滑到B点速度为v1,则滑到E点速度也为v1,又设滑到F点速度为v2.

则由   ,得:v1=2v2

得:a1:a2 = 2:3

(2) 从D点到F点,根据动能定理有:

       

其中取       v2=" 54" km/h =" 15" m/s

在D点:                           

解得运动员在D点承受的支持力:

=" 7300" N   

阅读理解

阅读理解。

                                                                                                                                             July 5, 2007

Dear Tony,

     Thank you for your letter. I read it today after school, and now I want to tell you all about my hobbies. I like to swim. In summer, l swim every day.

     I also like reading. I read all kinds of books. I often read two or three books a week. I enjoy writing

stories, too. I want to be a writer in the future (将来).

     I also like to play with my dog. His name is Mickey. On weekends, we like to go for long walks.

Mickey is a big dog, and needs a lot of exercise. There is a lake near my house. We often walk around the lake. Mickey likes to jump into the water. He's a good swimmer. It is a beautiful place. There are many

flowers. Mickey and I like to look at the flowers.

         Well, these are my hobbies. Do you like to read?  Do you have a dog? Please write and tell me

about your hobbies.

                                                                                                                                              Your friend,

                                                                                                                                               Karen       

1. What is this letter about?

A. It is about a lake.

B. It is about Karen's hobbies.

C. It is about Karen's family.

D. It is about swimming.                                 

2. What does Karen do every day in summer?

A. She swims.

B. She reads.

C. She writes.

D. She goes for long walks.

3. How many books does Karen read a week?

A. Only one book.

B. No books.

C. Two or three books.

D. Many kinds of books.

4. Who is Mickey?

A. Karen's dog.              

B. Karen's brother.

C. The lake.                

D. Karen's friend.

5. Where do Karen and Mickey go for long walks?

A. In her house.          

B. In the park.

C. Around the lake.        

D. In the neighborhood.

多项选择题