3+4基础综合(2015年试卷)(2)

2019-08-29 18:53

———————————阅————卷————密————封————装————订————线—————————— 7. (本题10分) 在平面直角坐标系中,设有圆C:(x?3)2?(y?1)2?5。 (1)求过原点并且与圆C相切的直线方程;

(2)设过原点的直线l与圆C交于M、N两点,并且弦MN的长度?4,求该直线的斜率k的取值范围。

8. (本题10分) 已知函数f(x)?32sin2x?12cos2x, (1)求f(x)的最小正周期;

(2)求f(x)在区间[0,?4]上的最小值;

(3)已知a、b、c分别为三角形ABC的内角A、B、C的对边,b?2,

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cosA?35且f(B)?1,求a的长。

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英 语 部 分(总分50分)

一、单项选择题(共10题:每题1分,满分10分)

( ) 1. The school library has introduced _______ new engineering books. However, many students are still not interested in _____ of them because they think all the books are too hard.

A. any, any B. some, any C. any, some D. some, some

( ) 2. - How was your spring trip to the West Hill yesterday? Will you pay another visit to it?

- It was such a terrible experience. I will ______ be there again. A. ever B. seldom C. once D. never

( ) 3. - ______ have you played tennis?

- It has been years. I’m a big fan of tennis games. A. How often B. How much C. How long D. How many

( ) 4. Sam says he crazily loves China because of the beautiful sound of Chinese language, the beautiful views in China, and ______ importantly, the beautiful heart of Chinese people.

A. very B. much C. more D. most

( ) 5. What he said in the meeting sounded strange ______ true.

A. yet B. not yet C. yet more D. and yet

( ) 6. Elizabeth ______ at the gym so often that she keeps an ideal body shape.

A. works out B. works off C. works in D. works away

( ) 7. I lost my way at once when I got off the bus, ______ caused a lot of troubles to my business.

A. that B. and C. it D. which

( ) 8. As the saying ______, “All work and no play makes Jack a dull boy.” The balance between one’s work and entertainment makes his life a real life.

A. is going B. has gone C. goes D. went

( ) 9. ______ satisfying weather we have recently! It’s sure a great pity we have to stay inside for the heavy work.

A. What B. How C. What a D. How a

( ) 10. After Anne’s recovery from a serious illness, her friends held a _______ to welcome her back to the normal days.

A. funeral B. celebration C. shower D. congratulation

二、完型填空题(共10题:每题1分,满分10分)

You should have a reminder system to tell you of when you need to do ___11___: don’t try to remember ___12___ in your head. Carry a pen and paper or organizer ___13___ you go. At the simplest level your reminder system could simply be __14___ your diary to write down the things you need to do ___15___, ___16___ appointments and deadlines. ___17___ interviews, it’s fine to write down the questions you wish to ask on a small piece of card or notepad.

A ___18___ list of tasks that need to be done is an essential (a. the most important) part of action planning. Refer to (v. check) and update this regularly. Prioritize (v. put first) items on the list into important/not important and urgent (a. of which should be done first and soon)/non-urgent. Update your list every day, crossing off ___19___ tasks and adding new tasks that need to be done. Urgent or important tasks can be highlighted with an asterisk (n.星号).

You ___20___ find the advantages of using a to-do list, such as focusing on important objectives, keeping your thoughts in order, bringing down the pressure of your head, saving time, and having everything under control, etc. Those advantages will surely make you an efficient (a. being able to finish tasks quickly and well) doer.

( ) 11. A. that B. it C. / D. what ( ) 12. A. everything B. anything C. something D. a thing ( ) 13. A. whatever B. wherever C. however D. whoever ( ) 14. A. to use B. use to C. used to D. using to ( ) 15. A. it B. what C. / D. that ( ) 16. A. include B. to include C. including D. included

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———————————阅————卷————密————封————装————订————线—————————— ( ) 17. A. After B. Before C. When ( ) 18. A. daily B. weekly C. monthly ( ) 19. A. important B. urgent C. useful ( ) 20. A. must B. should C. have to

三、中译英、英译中题(共5题:每题3分,满分15分)

D. Whenever D. yearly D. completed D. may

21. 我们因交通堵塞而受阻了两个小时,所以无法准时到达你们公司了.

_________________________________________________________________________________________________ 22. 广告里的房子看起来真漂亮,我几乎相信它了。

_________________________________________________________________________________________________ 23. 他宁可每天跑步去上班,也不愿给自己买辆新汽车。

_________________________________________________________________________________________________ 24. Having self-confidence is the best way to gain respect in the business world, regardless of the length of your hair. _________________________________________________________________________________________________ 25. Bloody noses can happen without warning.

_________________________________________________________________________________________________

四、英文写作题(共1题:满分15分)

26. 假设你的名字叫李明,前天你答应朋友小王去参加她的生日聚会,但你临时有事不能参加了。请写一个便条给她向她说明情况,并请求她的谅解。你的便条至少应包括: (1)你不能参加聚会的原因。 (2)请求小王谅解。 (3)你的补救措施。

注意:作文词数范围为40-80词。

____________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________

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