25. -Which color do you like ________, blue or green?
-Blue.
A. good B. better C. best D. the best
24. -________ schoolbag is this?
-I guess it’s Lily’s.
A. What B. Who C. Whose D. Which
23. The reading room ________ very quiet. I enjoy reading books there.
A. am B. is C. are D. be
22. Some volunteers from Beijing arrived in Shanghai ________ April 29 to work for the World Expo.
A. on B. at C. of D. to
从下列各题所给的A、B、C、D四个选项中,选择可以填入空白处的最佳选项。
21. Tom and Mike are good friends. _______ often help each others.
A. They B. Them C. Their D. Theirs
知识运用(共27分)
请听一段独白,完成第5至第6小题。
5. How’s Kate feeling now?
A. Much better. B. Still sick. C. Even worse.
6. Which [age will Kate read?
A. Page 15. B. Page 20. C. Page 25.
请听一段独白,完成第7至第8小题。
7. Where’re the speakers?
A. In a school. B. In a hospital. C. In a shop.
8. What does the woman’s son like?
A. Books. B. Music. C. Clothes.
请听一段独白,完成第9至第10小题。
9. Who wants to be a doctor?
A. Tom. B. Lisa. C. Sam.
10. What’re the speakers mainly talking about?
A. Their jobs. B. Their families. C. Their friends.
请听一段独白,完成第11至第13小题。
11. What did the teacher do after Tim made trouble?
A. They always punished him.
B. They talked to his parents.
C. They often laughed at him.
12. Why did Tim lie down with his bike on top of him?
A. To get a new bike.
B. To make his mother angry.
C. To play a joke on his mother.
13. What’s the conversation mainly about?
A. Tim’s behavior as a little boy.
B. Tim’s feeling for his school life.
C. Tim’s attitude toward his mother.
请听一段独白,完成第14至第16小题。
14. What can you learn from the speaker’s talk?
A. Indian movies are the same as Western movies.
B. Indian students like learning computer science.
C. India has twenty-two different national languages.
15. What are mentioned about India?
A. Movies, inventions and sports.
B. Languages, food and invention.
C. Weather, languages and movies.
16. What’s Mark doing?
A. Giving some advice.
B. Offering an invitation.
C. Making an introduction.
25. 问题:已知中,,点是内的一点,且,.探究与度数的比值.
请你完成下列探究过程:
先将图形特殊化,得出猜想,再对一般情况进行分析并加以证明.
(1)当时,依问题中的条件补全右图.
观察图形,与得数量关系为________;
当退出时,可进一步推出的度数为_______; 可得到与度数的比值为_________.
(2)当时,请你画出图形,研究与度数的比值是否与(1)中的结论相同,写出你的猜想并加以证明.
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数学试卷答案及评分参考
阅卷须知:
24. 在平面直角坐标系中,抛物线与轴的交点分别为原点和点,点在这条抛物线上.
(1)求点的坐标;
(2)点在线段上,从点出发向点运动,过点作轴的垂线,与直线交于点,延长到点,使得,以为斜边,在右侧作等腰直角三角形(当点运动时,点、点也随之运动).
① 当等腰直角三角形的顶点落在此抛物线上时,求的长;
② 若点从点出发向点作匀速运动,速度为每秒1个单位,同时线段上另一个点从点出发向点作匀速运动,速度为每秒2个单位(当点到达点时停止运动,点也同时停止运动).过点作轴的垂线,与直线交于点,延长到点,使得,以为斜边,在的左侧作等腰直角三角形(当点运动时,点、点也随之运动).若点运动到秒时,两个等腰直角三角形分别有一条边恰好落在同一条直线上,求此刻的值.
23. 已知反比例函数的图象经过点.
(1)试确定此反比例函数的解析式;
(2)点是坐标原点,将线段绕点顺时针旋转得到线段,判断点是否在此反比例函数的图象上,并说明理由;
(3)已知点也在此反比例函数的图象上(其中),过点作轴的垂线,交轴于点.若线段上存在一点,使得的面积是,设点的纵坐标为,求的值.
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