篇一：上海中学2016学年第二学期期中考试高一数学试题含答案word版
上海中学2016学年第二学期期中考试
（时间 90 分钟，满分 100 分）
高一年级数学试卷
2016年3月
一、填空题（每题3分，满分36分，请将正确答案直接填写在相应空格上）
o
1．若??2013，则与?具有相同终边的最小正角为 。
2?
2. 已知扇形的圆心角为，半径为5，则扇形的面积为。
3
3．已知角?的终边经过点P??4,3?，则cos??。
4. 函数y??x?2?)的定义域为 5．若tan
?
???
?2，则tan?????
4?2?
6．若??(?,?)，化简：
?tan??cot?sin(7???)?5cos(2???)
?。 7.已知tan???2，则
33sin(??)?sin(??)
2
8.在?ABC中,tanA?tanB?1,则这个三角形的形状是。
32
cos?
2
?
sin?
2
?
9．在?ABC中
,已知a,b?2,A?60o，则这样的三角形的有____ ___个。
10．在(0,2?)内，使cosx?sinx?tanx的成立的x的取值范围是。
11．凸函数的性质定理为：如果函数f(x)在区间D上是凸函数，则对D内的任意
f(x1)?f(x2)???f(xn)x?x2?L?xn
x1,x2,?,xn，有?f(1).函数f(x)?sinx在
nn
区间(0,?)上是凸函数，则在?ABC中，sinA?sinB?sinC的最大值为 。
22
12．方程x?cosx?0的解可视为函数y?cosx的图像与函数y?x的图像的交点的横
?1?0的实数解的个数为 。 2
二、选择题（每小题4分，满分16分，每小题只有一个正确答案，请将正确答案的代号填写在题后括号内）
2?
13．“??”
是“tan??成立的 ( )
3
（A）充分不必要条件 （B）必要不充分条件 （C）充要条件 （D）非充分非必要条件。 14．函数y?cos?x的单调递减区间是( )
（A）[2k,2k?1]k?Z （B）[2k?1,2k]k?Z （C）[k,k?1]k?Z（D）[k?1,k]k?Z
15．下列函数中，周期为?的偶函数是 ( )
（A）y?tanx（B）y?2cos2x?1（C）y?2cosx（D）y?(cosx?sinx)2 16．设函数y?sinx的定义域为[a,b]，值域为??1,?，则以下结论中错误的是 （ ）
2
坐标，方程x?10xsin
2
?x
??
1??
（A）b?a的最小值为
2?4? （B）b?a的最大值为 33
（C）a不可能等于2k??
?
6
，k?Z （D）b不可能等于2k??
?
6
，k?Z
三、解答题（共5小题，满分48分，解答要有详细的论证过程与运算步骤）
17．（本题满分6分）三角比内容丰富，公式很多。若仔细观察、大胆猜想、科学求证，你也能
发现其中的一些奥秘。请你完成以下问题： （1）计算：
cos2?cos88?cos5?cos85?
??_______，??______。
sin47?sin133?sin50?sin130?
（2）根据（1）的计算结果，请你猜出一个一般性的结论：＿＿＿＿＿＿＿＿＿＿．
18. （本题满分10分）定义：
abxy
sin(???)cos?
??
（1）求cos2?的值； （2）求tan(?)的值。
42
?ay?bx。已知
cos(???)?sin?
?
1。 3
19.（本题满分10分）请研究与函数f(x)?tanx相关的下列问题，在表中填写结论.
20．（本题满分10分）已知扇形OAB的半径为3，圆心角?AOB?60?，过弧AB上的动点P作平行于BO的直线交AO于点Q，设?AOP??。
（1）求?POQ的面积S关于?的函数解析式S?f(?)；
（2）?为何值时，S?f(?)有最大值？并求出该最大值。
21．（本题满分12分）函数的性质通常指函数的定义域、值域、周期性、单调性、奇偶性、
对称性等，请选择适当的探究顺序，研究函数f(x)?的性质，并在此基础上填写下表，作出f(x)在区间[??,2?]上的图像。
参考答案
1．若??2013，则与?具有相同终边的最小正角为213o。 2. 已知扇形的圆心角为
o
2?25
，半径为5，则扇形的面积为?。
33
4
5
?5?
。 66
3．已知角?的终边经过点P??4,3?，则cos??? 4.
函数y??x?2?)的定义域为[5．若tan
?
???1
?2，则tan??????
74?2?
6．若??(?,?)，化简：
?tan??cot?
sin(7???)?5cos(2???)
??3。 7.已知tan???2，则
53sin(??)?sin(??)
2
32
cos?
2
?
sin?
2
??1。
8.在?ABC中,tanA?tanB?1,则这个三角形的形状是钝角三角形。
9．在?ABC中,
已知a,b?2,A?60o，则这样的三角形的有____1___个。
2。 10．在(0,2?)内，使cosx?sinx?tanx的成立的x的取值范围是(?,?
32
11．凸函数的性质定理为：如果函数f(x)在区间D上是凸函数，则对D内的任意
f(x1)?f(x2)???f(xn)x?x2?L?xn
x1,x2,?,xn，有?f(1).函数f(x)?sinx在
nn区间(0,?)上是凸函数，则在?ABC中，sinA?sinB?sinC的最大值为
22
12．方程x?cosx?0的解可视为函数y?cosx的图像与函数y?x的图像的交点的横
?1?0的实数解的个数为12。 2
二、选择题（每小题4分，满分16分，每小题只有一个正确答案，请将正确答案的代号填写在题后括号内）
2?
13．“??”是
“tan??成立的 ( B )
3
（A）充分不必要条件 （B）必要不充分条件 （C）充要条件 （D）非充分非必要条件。
14．函数y?cos?x的单调递减区间是( A )
（A）[2k,2k?1]k?Z （B）[2k?1,2k]k?Z （C）[k,k?1]k?Z（D）[k?1,k]k?Z
15．下列函数中，周期为?的偶函数是 ( B )
（A）y?tanx（B）y?2cos2x?1（C）y?2cosx（D）y?(cosx?sinx)2 16．设函数y?sinx的定义域为[a,b]，值域为??1,?，则以下结论中错误的是 （ D ）
2
坐标，方程x?10xsin
2
?x
??
1??
（A）b?a的最小值为
2?4? （B）b?a的最大值为 33
（C）a不可能等于2k??
?
6
，k?Z （D）b不可能等于2k??
?
6
，k?Z
篇二：上海市重点高中2015-2016学年高一英语上学期期中试题(含答案)
2015学年度第一学期高一年级英语学科期中考试卷
（考试时间：90分钟 满分：100分
第I卷 (共85分)
I. Listening Comprehension (20%)
Section A Short Conversations (10%)
Directions: In section A, you will hear ten short conversations between two speakers. At the end of each conversation, a question will be asked about what was said. The conversations and the questions will be spoken only once. After you hear a conversation and the question about it, read the four possible answers on your paper, and decide which one is the best answer to the question (本文来自：WWw.DXF5.com 东 星 资 源 网:上海高中期中考试时间)you have heard.
1. A. In a library.B. In a restaurant. C. In a supermarket. D. In a department store.
2. A. At 1:45.B. At 2:05.
C. At 2:15.D. At 2:25. 3. A. She hasn’t a dictionary. 4. A. The bus is too crowded.
5. A. The movie. B. She has lost her dictionary.D. The word is easy to pronounce.B. There’s something wrong with the bus.D. The bus doesn’t go to his destination. C. She is not sure about the word.C. The bus is going across the street.
C. The soccer game.
6. A. Boss and secretary.
7. A. Make a bookshelf. B. The science report. D. The evening news.B. Doctor and patient. B. Buy another room.
B. He doesn’t like the show.D. He will have a rest tonight. C. Teacher and student. D. Father and daughter. C. Neglect the problem.D. Sell the sofa. 8. A. He will study tonight. C. He has watched the show.
9. A. Go across the street to make a copy.
B. Take his copies to the other buildings.
C. Ask the woman to make a copy for him.
D. Ask the woman for the directions to the building.
10. A. It’s time to water the flowers now.
C. It’s too late to water the flowers now.
Section B (6%)
Directions: In Section B, you will hear two short passages, and you will be asked three questions on each passage. The passages will be read twice, but the questions will be spoken only once. When you hear a question, read the four possible answers on your paper and decide which one would be the best answer to the question you have heard.
Questions 11 through 13 are based on the following recording.
11. A. In Room 18.
12. A. A talk show.
C. A movie show.
B. In the Green Room. D. In the Sky Theatre. B. A campus dancing competition.D. A flower-arranging competition. B. Press any number button. D. Call the studio next Wednesday. C. In the Panda Room. B. They needn’t water the flowers now. D. They should water the flowers as planned. 13. A. Hold on for a second. C. Go to the studio office.
Questions 14 through 16 are based on the following passage.
14. A. One turkey is pardoned by president.
B. One turkey flies to Florida for a parade.
C. 88 percent of people play with turkeys.
D. Turkey farmers parade with their turkeys.
15. A. The presidents of the United States prefer turkeys to any other birds.
B. Turkeys as well as eagles enjoy great popularity in the United States.
C. Each state in the United Sates pardons one turkey on Thanksgiving Day.
D. The turkey will replace the eagle to be the national bird of the United States.
16. A. Smart.
Section C (4%)
Directions: In Section C, you will hear one longer conversation. The conversation will be read twice. After you hear the conversation, you are required to fill in the numbered blanks with the information you have heard. Write your answers on your answer sheet.
II. Grammar and Vocabulary (24%)
Section A (15%)
Directions: After reading the passages below, fill in the blanks to make the passages coherent and grammatically correct. For the blanks with a given word, fill in each blank with the proper form of the given word; for the other blanks, use one word that best fits each blank.
(A)
Have you ever been to the Great Wall of China? When it is seen from the moon, it is __21__(long) visible structure that has ever been built, which is quite amazing in architecture history.
22_______ _______ the limitation of machinery, it was constructed entirely by hand. The first section of the wall was built in the central part of the country during the seventh century. The different sections of the wall ____23____(build) from a variety of materials. The wall also varies ___24___ height and width. One of the highest sections is 35 feet (11m) tall. It is 25 feet (7.6m) wide at the base. There are also towers along many parts of the wall, ___25___ used to serve as lookout stations. Undoubtedly, the Great wall served as more than just protection from attacks from the north. It also provided a physical boundary ___26___ ancient China and northern lands.
Winding its way through mountainous regions, the Great Wall ___27___(look) magnificent and is really a major tourism attraction to the world.
(B)
The biggest festival of Jiuzhaigou is the Spring Festival. Here are some exotic customs. B. Delicious. C. Interesting.D. Lucky. Complete the form. Write for each answer.
篇三：2015-2016上海市高中名校高一物理上学期期中试题(含答案)
2015学年度第一学期高一年级物理学科期中考试卷
（考试时间：60分钟
一．单项选择题（每题2分，共16分）
1.下列关于路程和位移的说法,正确的是(
A.位移就是路程
B.位移的大小永远不等于路程
C.若物体做单一方向的直线运动,位移的大小就等于路程
D.位移是矢量,有大小而无方向.路程是标量,既有大小又有方向
2.歌词”小小竹排江中游,巍巍青山两岸走”所描写的运动的参考系分别是(
A.竹排、江岸 B.江岸、竹排C.竹排、青山
3.在公式a? D.江岸、青山 ) ) 满分：100分） ?v中，关于a与ΔV、Δt的关系，下列说法中正确的是[] ?t
A. a与ΔV成正比、与Δt成反比 B. a是由ΔV与Δt的比值决定的
C. a与ΔV、Δt无关 D. a的方向与ΔV方向无关
4、一名运动员在百米赛跑中，测得他在50米处的速度是6m/s，16s末到达终点时的速度为7.5m/s，他在全程内平均速度的大
小） 是…………………………………………（
A. 6m/s B. 6.25m/s C.6.75m/s D.7.5m/s
5．某人站在楼房顶层从O点竖直向上抛出一个小球，上升的最大高度为20 m，然后落回到抛出点O下方25 m的B点，则小球在这一运动过程中通过的路程和位移分别为(规定竖