22. Now my hometown is not at all _________ a traveler who visited it ten years ago can expect.
A. that B. what C. which D. where
21. -Michael was late for Mr. Smith’s oral class this morning.
- _________? As far as I know, he never came late to class.
A. How come B. So what C. Why not D. What for
第二节(共15小题;每小题1分,满分15分)
听第6段材料,回答第6至8题。
6. What are the speakers mainly talking about?
A. Where Justin comes from.
B. Where Justin lives at present.
C. Where Justin spent last Christmas.
7. Where is Caldy?
A. In the north east of England.
B. In the north west of Scotland.
C. In the north west of England.
8. What can we learn from the conversation?
A. The man doesn’t know much about Justin.
B. Justin often sends letters to the speakers.
C. The woman and Justin aren’t close friends.
听第7段对话,回答第9至11题。
9. Why did Mrs Baker go out of her house?
A. To have a walk. B. To walk her dog. C. To throw her rubbish.
10. What did the young man carry?
A. A bag. B. A stick. C. A knife.
11. How did Mrs Baker succeed getting rid of the young man?
A. She hit him on the head.
B. She ran home very quickly.
C. She turned to the man for help.
听第8段材料,回答第12至14题。
12. What is the relationship between the speakers?
A. Classmates. B. Mother and son. C. Teacher and student.
13. Why does the man want to study business?
A. He is interested in it.
B. His father wishes him to do so.
C. He wants to get a good job.
14. What does the woman think of working for a company?
A. Promising. B. Stressful. C. Enjoyable.
听第9段材料,回答第15至17题。
15. What is the relation between the girl and Karen?
A. Relatives. B. Classmates. C. Old friends.
16. How does the girl feel about Jenny?
A. Angry. B. Envious. C. Disappointed.
17. What does the man suggest the girl do?
A. Take another lesson. B. Have a talk with Karen. C. Have a talk with Jenny.
听第10段材料,回答第18至20题。
18. What will people do on this trip?
A. Meet some famous writers and musicians.
B. Enjoy the works of some American artists.
C. See the houses of some famous Americans.
19. Where does the speaker work?
A. In a travel agency. B. In a museum. C. In a hotel.
20. What can we learn from what the speaker said?
A. Jackson Pollock has traveled abroad.
B. Louis Armstrong is a great American musician.
C. The speaker has learned about America in history classes.
21.本题(1)、(2)、(3)三个选答题,每小题7分,请考生任选2题作答,满分14分,如果多做,则按所做的前两题计分。作答时,先用2B铅笔在答题卡上把所选题目对应的题号涂黑,并将所选题号填入括号中.
(1)(本小题满分7分)选修4-4:坐标系与参数方程
以直角坐标系的原点为极点,轴的正半轴为极轴。已知点的直角坐标为(1,-5),
点的极坐标为若直线过点,且倾斜角为,圆以为圆心、为半径。
(I)求直线的参数方程和圆的极坐标方程;
(II)试判定直线和圆的位置关系.
(2)(本小题满分7分)选修4-4:矩阵与变换
把曲线先进行横坐标缩为原来的一半,纵坐标保持不变的伸缩变换,再做关于轴的反射变换变为曲线,求曲线的方程.
(3)(本小题满分7分)选修4-5:不等式选讲
关于的一元二次方程对任意无实根,求实数的取值范围.
20、(本小题满分14分)
已知函数.
(Ⅰ) 若为的极值点,求实数的值;
(Ⅱ) 若在上为增函数,求实数的取值范围;
(Ⅲ) 若时,方程有实根,求实数的取值范围.
19. (本小题满分13分)
设椭圆的离心率,右焦点到直线的距离
为坐标原点.
(I)求椭圆的方程;
(II)过点作两条互相垂直的射线,与椭圆分别交于两点,证明点到直
线的距离为定值,并求弦长度的最小值.
18. (本小题满分13分)
质点在轴上从原点出发向右运动,每次平移一个单位或两个单位,且移动一个单位的概率为,移动2个单位的概率为,设质点运动到点的概率为.
(Ⅰ)求和;
(Ⅱ)用表示,并证明是等比数列;
(Ⅲ)求.
17. (本小题满分13分)
如图,矩形ABCD和梯形BEFC所在平面互相垂直,BE∥CF且
BE<CF,∠BCF=,AD=,EF=2.
(Ⅰ)求证: AE∥平面DCF;
(Ⅱ)若,且二面角A-EF-C的大小为,求的长。
16.(本小题满分13分)
已知,,
函数,
(Ⅰ)求时,函数的取值范围;
(Ⅱ)在中,a、b、c分别是角A、B、C、的对边,且,,求的面积.
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