2013-2014学年江苏省扬州中学高一下学期期中考试数学试卷(带解析)

适用年级:高一
试卷号:582423

试卷类型:期中
试卷考试时间:2017/7/19

1.选择题(共9题)

1.—When is your birthday? —It's on January_______.
2.单词拼写

根据下列句子及所给的首字母,在答题纸上按题号写出各单词的正确、完全形式(每空填一词)。

3.完型填空

    Once again, I had run away and really did not know why. I walked out of the gate to go to school and then kept 1. I had just turned eleven years old the week before. It was almost dark; I was tired, scared, cold, and all alone. I had not eaten all day and was afraid to turn 2 into the police.

    As darkness fell, I made my way over to the city park 3 on Park Street. I entered the darkened area and sat down on one of the wooden benches.“Well, hello, young man.” A voice came from 4 me. I jumped, almost falling off the park bench. I could feel my heart beating in the side of my neck. I could 5 catch my breath. I looked back and saw a woman standing behind me in the shadows. She found I was 6 because of feeling cold, so she took off her large scarf and covered it 7 my shoulders. Looking into my eyes, she8 me if I need something to eat. After I said “yes”, she held out her hand and told me to take the very letter 9 I was unable to see to the store owner. I looked at her outstretched arm but saw 10 in her hand. However, I 11 my hands slowly, acting as though I was taking something from her hand.

    I came to a store with a 12 sitting behind a counter. I opened the door, very slowly I held out my hand which has nothing in it toward her. I watched her face to see if she might think I was crazy or something else.13, she immediately turned and walked to the back of the store for the food I need. After that, I walked out into the street and headed back to the park where the old woman was. “Can I have the letter so I can be magic too?” I asked. Without replying to me,14 she told me the persons who wanted to help15in need would never need the magic letter any more. With these words, she stood up, kissed me on the forehead, removed the large scarf from my shoulders and disappeared into the darkness.

4.完型填空

    Once again, I had run away and really did not know why. I walked out of the gate to go to school and then kept 1. I had just turned eleven years old the week before. It was almost dark; I was tired, scared, cold, and all alone. I had not eaten all day and was afraid to turn 2 into the police.

    As darkness fell, I made my way over to the city park 3 on Park Street. I entered the darkened area and sat down on one of the wooden benches.“Well, hello, young man.” A voice came from 4 me. I jumped, almost falling off the park bench. I could feel my heart beating in the side of my neck. I could 5 catch my breath. I looked back and saw a woman standing behind me in the shadows. She found I was 6 because of feeling cold, so she took off her large scarf and covered it 7 my shoulders. Looking into my eyes, she8 me if I need something to eat. After I said “yes”, she held out her hand and told me to take the very letter 9 I was unable to see to the store owner. I looked at her outstretched arm but saw 10 in her hand. However, I 11 my hands slowly, acting as though I was taking something from her hand.

    I came to a store with a 12 sitting behind a counter. I opened the door, very slowly I held out my hand which has nothing in it toward her. I watched her face to see if she might think I was crazy or something else.13, she immediately turned and walked to the back of the store for the food I need. After that, I walked out into the street and headed back to the park where the old woman was. “Can I have the letter so I can be magic too?” I asked. Without replying to me,14 she told me the persons who wanted to help15in need would never need the magic letter any more. With these words, she stood up, kissed me on the forehead, removed the large scarf from my shoulders and disappeared into the darkness.

5.请仔细阅读1-5题中应用文及相关信息,从A-F中按照要求匹配信息,其中一项为多余项.

A.

Photography Club --- We are looking for artistically inclined students to join our new club. We plan to meet every Tuesday and Thursday evening after school from 6 to 8 pm. Each member must have their own equipment.


B.

Hiking Society --- Members meet every Saturday to discuss their hiking trips and twice a month, we arrange trips to different parts of the province for members to go on breathtaking scenic mountain walks. Get to understand our local geography, keep fit and have fun.


C.

Film Club --- The club is perfect for students who love artistic movies. Every Tuesday and Friday evening we hold a seminar in which a great new movie or a classic film is discussed and reviewed.


D.

Dancing Club --- We are the largest club in the university with over 400 members. Members are invited to dancing practice every Monday evening from 7 pm to 10 pm and we hold dance parties with students from other universities once a month. Perfect way to keep fit and meet new friends.


E.

English Society --- A new group organized by the University English Dept. gives all students on campus a chance to practice and improve their English. We plan to have regular foreign guests come to our weekly meetings every Wednesday evening at 7:30 and we show English language movies that can help you both practice your English and be entertained as well.

F.

Book Club --- Members meet each week to discuss and recommend books to each other. Meetings are lunch times on Fridays. Membership is free. All members qualify for a 20% discount on all books purchased from the Xinhua Book Store.


{#blank#}1{#/blank#}Cherry wants to join a club that will keep her fit and active but because she has a part-time job every workday evening, she is only available to take part on the weekends.

{#blank#}2{#/blank#}David is a new student at the university, whose major is English literature. He is a little shy so she is hoping to join a club that can help him get to know new people and build his confidence.

{#blank#}3{#/blank#}Bonnie is majoring in drama and wants to be a scriptwriter when she graduates. She is interested in discovering new stories that she may one day be able to turn into movies. As her home is far from the university, she is only free during the day to take part.

{#blank#}4{#/blank#}Betty is studying film making and one day hopes to become a director. But she thinks her ability to create beautiful visual images is not strong enough, so she has recently purchased a camera to help her practice.

{#blank#}5{#/blank#}Jack is a first year geography student who would like to learn more about the geography of the local area. He is also worried about passing the English test that all students must take at the end of their first year of study. He has to return to his home to help his parents every weekend, so he is only free during weekdays.

6.书面表达

学校在评选“朝晖之星”,初一年级的候选人是李薇,请你根据下面的简历写一篇50单词的短文介绍她,并根据你对她的了解适当补充其他方面的情况。

Name: Li Wei

Age: 13 Sex: girl

Birthday: September 25th

Class : Five  Grade: Seven

Favorite subjects: science (difficult, interesting)

music (fun, relaxing)

Talents(才艺): sing and dance

Others: …

The Star of Zhaohui Middle School

7.—Where are your pencils? — _________________
8.The English party starts ____ 7:30 ____ the evening.
9.阅读理解

    Soon computers and other machines will be able to remember you by looking at your eyes! The program works because everyone's eyes are different. So in the future you won't have to remember a number when you want to use a machine or take money out of a bank. You'll just have to look at the machine and it will be able to tell who you are.

    The eye-recognition(眼睛识别) program has already been tested in shops and banks in the USA, Britain, Spain, Italy and Turkey. Soon this technology will take the place of(取代)all other ways of finding out who people are.

    Eye-recognition is a course of recognizing iris(虹膜), which includes the following steps. First, a kind of machine needs to collect different examples of one's iris from his eyes and store them. Second, when this person goes to the bank to take out of money, this machine will have iris feature extraction(采集).Then, this machine will compare the examples kept in it with iris feature extraction. Once the examples and the feature extraction are the same, this person will be identified, and he will take out of the money from the bank successfully.

    However, scientists are also working on other systems. Machines will soon be able to know you from the shape of your face or hand or even your smell! We already have machines that can tell who you are from your voice or the mark made by your finger.

    Eye-recognition is better than other kinds because your eyes don't change as you get older, and don't get dirty like hands or fingers, and even twins have different eyes. So the eye-recognition program can be up to 94% correct, depending on how good the technology(科技)is. However, some other programs may only be 51% correct now. In Britain, it was found that 91% of people who had tried it said that they liked the idea of eye-recognition.

    In the future your computer will be looking at you in the eye. So smile!

2.填空题(共9题)

10.
sin15º·sin30º·sin75º的值等于___________.
11.
在△ABC中,已知A=45°,AB=,BC=2,则C=___________.
12.
已知△ABC中,角A,B,C所对的边分别为a,b,c,且BC边上的高为a,则的取值范围为______.
13.
已知等差数列{an}的前20项的和为100,那么a7·a14的最大值为_________.
14.
设等差数列{an}的前n项的和为Sn,若a1>0,S4=S8,则当Sn取最大值时,n的值为____________.
15.
若不等式ax2+bx+2>0的解集为,则a-b=________.
16.
不等式>0的解集为___________.
17.
若x>0、y>0,且x+y=1,则x·y的最大值为______.
18.
若f (x)=x+在x≥3时有最小值4,则a=_________.

3.解答题(共4题)

19.
已知圆的内接四边形ABCD的边长分别为AB=2,BC=6, CD=DA=4,
(1)求角A的大小;
(2)求四边形ABCD的面积.
20.
已知a、b、c分别是△ABC三个内角A、B、C的对边.
(1)若△ABC面积为,c=2,A=60º,求a,b的值;
(2)若acosA=bcosB,试判断△ABC的形状,证明你的结论.
21.
已知数列{an}是等差数列,数列{bn}是等比数列,且对任意的n∈N*,都有a1b1+a2b2+a3b3+···+anbn=n·2n+3
(1)若{bn}的首项为4,公比为2,求数列{an+bn}的前n项和Sn
(2)若a1=8.
①求数列{an}与{bn}的通项公式;
②试探究:数列{bn}中是否存在某一项,它可以表示为该数列中其它r(r∈N,r≥2)项的和?若存在,请求出该项;若不存在,请说明理由.
22.
已知{an}是公比为q的等比数列,且am、am+2、am+1成等差数列.
(1)求q的值;
(2)设数列{an}的前n项和为Sn,试判断Sm、Sm+2、Sm+1是否成等差数列?并说明理由.
试卷分析
  • 【1】题量占比

    选择题:(9道)

    填空题:(9道)

    解答题:(4道)

  • 【2】:难度分析

    1星难题:0

    2星难题:0

    3星难题:0

    4星难题:0

    5星难题:0

    6星难题:0

    7星难题:0

    8星难题:0

    9星难题:13