22. — I hope there _______ less pressure on us today.
— If so, we _______ enjoy a more pleasant life.
A. is; can B. will be; can C. will be; should D. is; should
第二部分 语言知识
Ⅱ. 单项选择 (共15小题,每题1分,满分15分)
从A、B、C、D四个选项中选出最佳选项。
21. — If you prefer the red evening dress, you’ll have to pay ________ 30 dollars, because it’s made of silk.
— Ok. Here you are.
A. other B. the other C. more D. another
第三节:听短文,选答案。听下面一段短文,并根据短文内容选出最佳答案。短文读两遍。(共5小题,每题2分,计10分)
16. Who is Paul Smith?
A. A cartoonist. B. A middle school teacher. C. A middle school student.
17. What does Paul Smith like watching?
A. Tom and Jerry.
B. The Adventure of Tom Sawyer.
C. The Island of Treasure.
18. What does Paul Smith hope to do one day?
A. Visit Paris. B. Draw cartoons. C. Write music.
19. What’s Paul Smith probably interested in?
A. Dancing. B. Writing. C. Painting.
20. Why doesn’t Paul Smith watch the beginning of the program on the weekend?
A. Because he has painting classes.
B. Because he takes pictures.
C. Because he hears the music.
第一部分 听力测试
Ⅰ. 听力测试(共三节,20小题,满分25分)
第一节:听描述或对话, 选图画。下面有2段描述和3段对话。听完以后,从A、B、C三幅图画中选出正确的一幅。每段描述和对话读一遍。(共5小题,每题1分,计5分)
第二节:听对话,选答案。听下面4段对话,并根据所提的问题,从A、B、C三个选项中选出最佳答案。每段对话读两遍。(共10小题,每题1分,计10分)
听第六段材料,完成6、7小题。
6. Where will the girl go this summer vacation?
A. Paris. B. Washington D.C.. C. Tokyo.
7. What can the boy do on the farm?
A. Feed hens. B. Ride horses. C. Pick corns.
听第七段材料,完成8、9小题。
8. What does Jack think of going shopping and seeing a movie?
A. Interesting. B. Boring. C. Popular.
9. What’s Jack going to do?
A. Go shopping. B. Read at home. C. See a movie.
听第八段材料,完成10—12小题。w W w . x K b 1.c o M
10. What does the woman want to buy?
A. A skirt. B. A pair of shoes. C. A shirt.
11. What color does the woman choose at last?
A. Brown. B. Blue. C. White.
12. How much does the woman have to pay?
A. 98 dollars. B. 168 dollars. C. 68 dollars.
听第九段材料,完成13—15小题。
13. Do Jane and Annie often meet?
A. Yes, they do. B. No, they don’t. C. We don’t know.
14. Why does everyone like Annie?
A. Because she enjoys studying.
B. Because she is friendly to others.
C. Because they have the same interests.
15. What’s Tom going to do?
A. To take part in an evening party.
B. To go to a picnic.
C. To introduce Annie.
22.(1),,
又,得或
(2),因为向量与向量共线,
① 时,取最大值为,
由=4,得,此时,
②,时,取最大值为,
由=4,得,(舍去)
综上所述,
21.解(1)设f(x)图象上的两点为A(-x,y1)、B(2+x, y2),因为=1
f (-x) = f (2+x),所以y1= y2
由x的任意性得f(x)的图象关于直线x=1对称,
∴f(x)的增区间为; f(x) 的减区间为
(2)∵·=(sinx,2)·(2sinx, )=2sin2x+1≥1,
·=(cos2x,1)·(1,2)=cos2x+2≥1,
∵f(x)在是[1,+∞)上为增函数,∴f (·)>f (·)f(2sin2x+1)> f(cos2x+2)
2sin2x+1>cos2x+21-cos2x+1>cos2x+2
cos2x<02kπ+<2x<2kπ+,k∈z
kπ+<x<kπ+, k∈z ∵0≤x≤π ∴<x<
综上所述,不等式f (·)>f (·)的解集是:{ x|<x< } 。
20.(1),
(2)的最小值是,此时的集合是
19.解 (1)原式=
又则
18. 解: (1) ①②位置的数据分别为12、0.3; ……………………………3分
(2) 第三、四、五组参加考核人数分别为3、2、1;……………………6分
(3) 设上述6人为abcdef(其中第四组的两人分别为d,e),则从6人中任取2人的所有情形为:{ab,ac,ad,ae,af,bc,bd,be,bf,cd,ce,cf,de,df,ef}
共有15种.……………………………………………………………8分
记“2人中至少有一名是第四组”为事件A,则事件A所含的基本事件的种数有9种.……………………………………………………………10分
所以,故2人中至少有一名是第四组的概率为.………12分
17. 解:(1),
(2)设与的夹角为,由
=
与的夹角的余弦值为
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