高一数学期末考试题及答案（整理9篇）由网友“暴暴鲸”投稿提供，以下是小编为大家准备的高一数学期末考试题及答案，仅供参考，欢迎大家阅读。
篇1：高一数学期末考试题及答案
∴学生注意力不低于55的持续时间为 = <10.
∴老师能不能在学生一直达到所需注意力的状态下讲完这道题.
【点评】本题考查了分段函数的应用，分类讨论思想.属于基础题.
21.设f(x)=mx2+(m+4)x+3.
(1)试确定m的值，使得f(x)有两个零点，且f(x)的两个零点的差的绝对值最小，并求出这个最小值;
(2)若m=1时，在[0，λ](λ为正常数)上存在x使f(x)a>0成立，求a的取值范围.
【分析】(1)f(x)为二次函数，令△>0得出m的取值范围，根据根与系数得关系用m表示两根的绝对值，求出新函数的最小值即可.
(2)求出f(x)在[0，λ]上的最大值fmax(x)，则a
【解答】解：(1)∵f(x)有两个零点，∴ ，解得m≠0.
设f(x)的两个零点为x1，x2，则x1+x2= ，x1x2= .
∴|x1x2|2=(x1+x2)24x1x2=( )2 = +1=16( )2+ .
∴当m=8时，∴|x1x2|2取得最小值 .∴|x1x2|的最小值为 .
(2)当m=1时，f(x)=x2+3x+3，f(x)的对称轴为x= .
①若0 ，则fmax(x)=f(λ)=λ2+3λ+3，
②若 ，则fmax(x)=f( )= .
∵在[0，λ](λ为正常数)上存在x使f(x)a>0成立，∴a
综上，当0 时，a的取值范围是(∞，λ2+3λ+3);
当 时，a的取值范围是(∞， ).
【点评】本题考查了二次函数的零点个数与系数的关系，二次函数的单调性与最值，属于中档题.
22.定义在D上的函数f(x)，如果满足：对任意x∈D，存在常数M，都有f(x)≥M成立，则称f(x)是D上的有下界函数，其中M称为函数f(x)的一个下界.已知函数f(x)= (a>0).
(1)若函数f(x)为偶函数，求a的值;
(2)求函数f(x)在[lna，+∞)上所有下界构成的集合.
【分析】(1)根据函数奇偶性的定义求出a的值即可;
(2)通过定义证明函数f(x)在区间[lna，+∞)上是增函数，求出函数的最小值，从而求出满足条件的集合即可.
【解答】解：(1)函数f(x)= (a>0)是R上的偶函数，f(x)=f(x)，
即 (exex)=a( )=a(exex)在R恒成立，
∴ =a，解得：a=1，(a>0)，
(2)在[lna，+∞)上任取x1，x2，且x1
f(x1)f(x2)= ( )a =( ) ，
∵y=ex是增函数，lna≤x1
∴ <0，∴x1+x2>2lna=lna2，
∴ >=a2，∴ a2>0，
∵a >0，
∴f(x1)f(x2)<0，即f(x1)
∴函数f(x)在[lna，+∞)上是增函数，
∴f(x)min=f(lna)= + =2，
∴函数f(x)在[lna，+∞)上所有下界构成的集合是(∞，2].
篇2：高一数学期末考试题
高一数学期末考试题
一、选择题:
1.集合U= ，A= ,B= ,则A 等于
A. B C. D.
2.已知集合A= ，集合B= ,则下列对应关系中，不能看作从A到B的映射的是( )
A. f: x y= x B. f: x y= x
C. f: x y= x D. f: x y=x
3.已知A(2,0,1),B(1,-3,1),点M在x轴上，且到A、B两点间的距离相等,则M的坐标为( )
A.(-3,0,0) B.(0,-3,0) C.(0,0,-3) D.(0,0,3)
4.函数y=x +2(m-1)x+3在区间 上是单调递减的，则m的取值范围是( )
A. m 3 B. m 3 C. m -3 D. m -3
5.函数f(x)=log x+2x-1的零点必落在区间( )
A.( , ) B. ( , ) C.( ,1) D.(1,2)
6.一个四棱锥的底面为正方形，其中主视图和左视图均为等腰三角形，俯视图是一个正方形，则这个四棱锥的体积是( )
A.1 B. 2 C . 3 D.4
7.已知二次函数f(x)=x -x+a(a0)，若f(m)0，则f(m-1)的值是( )
A.正数 B.负数 C.零 D.符号与a有关
8.直线x+y+ =0截圆x +y =4得劣弧所对圆心角为( )
A. B. C. D.
9.在正四棱柱ABCD-A B C D 中，E、F分别是AB 、BC 的`中点，则以下结论中不成立的是
A.EF与BB 垂直 B. EF与A C 异面
C.EF与CD异面D.EF与BD垂直
10.已知偶函数f(x)在 单调递减，若a=f(0.5 ),b=f(log 4),c=f(2 ),则a, b, c的大小关系是( )
A. ac B. cb C. ab D .ba
11.已知圆C与直线3x-4y=0及3x-4y=10都相切，圆心在直线4x+3y=0上，则圆C的方程为( )
A. (x- ) +(y+ ) =1 B. (x+ ) +(y+ ) =1
C.(x+ ) +(y- ) =1 D. (x- ) +(y- ) =1
12.对于函数f(x),若任给实数a,b,c，f(a),f(b),f(c)为某一三角形的三边长，则称f(x)为 可构造三角形函数。已知函数f(x)= 是 可构造三角形函数，则实数t的取值范围是( )
A. B. C. D.
二.填空题
13.幂函数y=f(x)经过点(2, ) ，则f(-3)值为 .
14.直线l :x+my+ =0与直线l :(m-2)x+3y+2m=0互相平行，则m的值为 .
15.已知指数函数y=2 与y轴交于点A,对数函数y=lnx与X轴交于点B,点P在直线AB上移动,点M(0,-3),则 的最小值为 .
16.有6根木棒，已知其中有两根的长度为 cm和 cm，其余四根的长度均为1cm，用这6根木棒围成一个三棱锥，则这样的三棱锥体积为 cm
篇3：高一数学期末考试题
高一数学期末考试题
一、选择题：本大题共10小题，共50分、
1、算法共有三种逻辑结构，即顺序结构、条件结构、循环结构，下列说法正确的是
A、一个算法只能含有一种逻辑结构
B、一个算法最多可以包含两种逻辑结构
C、一个算法必须含有上述三种逻辑结构
D、一个算法 可以含有上述三种逻辑结构的任意组合
解析：任何 一种算法都是由上述三种逻辑结构组成的，它可以含有三种结构中的一种、两种或三种
答案：D
2、下列赋值语句正确的是（）
A、s=a+1
B、a+1=s
C、s―1=a
D、s―a=1
解析：赋值语句的格式为变量=表达式，=的左侧只能是单个变量，故B、C、D均不正确
答案：A
3、用秦九韶算法求多项式f（x）=7x3+3x2―5x+11在x=23时的值，在运算过程中下列数值不会出现的是（）
A、164
B、3 767
C、86 652
D、85 169
解析：f（x）=（（7x+3）x―5）x+11，
按由内到外的顺序依次计算一次多项式x=23时的值v0=7；v1=v023+3=164；v2=v123―5=3 767；v3=v223+11=86 652、故不会出现D项
答案：D
4、阅读下列程序框图：
若输出结果为0，则①处的执行框内应填的是（）
A、x=―1
B、b=0
C、x=1
D、a=32
解析：先确定执行框内是给x赋值然后倒着推，b=0时，2a―3=0，a=32，a=32时，2x+1=32，x=―1
答案：A
5、（陕西卷）根据下列算法语句，当输入x为6 0时，输出y的值为（）
输入x
If x50 Then
y=0、5]
A、25
B、30
C、31
D、61
解析：题目所给函数是分段函数：当x50时，y=0、5x；当x50时，y=25+0、6（x―50）、输入x=60时，y=25+0、6（60―50）=31、
答案：C
6、下面的程序运行后，输出的值是（）
i=0Do i=i+1LOOP UNTIL 2^i2 000 i=i―1PRINT iEND
A、8
B、9
C、10
D、11
解析：由题意知，此程序为循环语句，当i=10时，210=1 024；当i=11时，211=2 0482 000，输 出结果为i=11―1=10、
答案：C
7、执行如图所示的程序框图，输出的结果为（）
A、55
B、89
C、144
D、233
解析：初始值：x=1，y=1，第1次循环：z=2，x=1，y=2；第2次循环：z=3，x=2，y=3；第3次循环：z=5，x=3，y=5；第4次循环：z=8，x=5，y=8；第5次循环：z=13，x=8，y=13；第6次循环：z=21，x=13，y=21；第7次循环：z=34，x=21，y=34；第8次循环：z=55，x=34，y=55；第9次循环：z=89，x=55，y=89；第1 0次循环时z=144，循环结束，输出y，故输出的结果为89、
答案：B
8、下图给出的是计算1+2+4++219的值的一个程序框图，则其中判断框内应填入的是（）
A、i=19
B、i20
C、i19
D、i20
解析：计算S=1+2+4++219的值，所使用的循环结构是直到型循环结构，循环应在i20时退 出，并输出S、故填20、
答案：B
9、（2013新课标全国卷Ⅰ）执行如图的程序框图，如果输入的t[―1，3]，则输出的s属于（）
A、[―3，4]
B、[―5，2]
C、[―4，3]
D、[―2，5]
本文导航 1、首页2、高一下学期数学期末考试试卷―23、高一下学期数学期末考试试卷―34、高一下学期数学期末考试试卷―45、高一下学期数学期末考试试卷―5
解析：读图可知 ，当t[―1，1）时，s[―3，3），当t[1，3]时，s[3，4]，所以输出s[―3，4]，故选A、
答案：A
10、（青岛高一检测）若如图所示的程序框图输出的S的值为126，则条件①为（）
A、n5
B、n6
C、n7
D、n8
解析：由题知，第一次循环后，S=2，n=2；第二次循环后，S=6，n=3；第三次循环后，S=14，n=4；第四次循环后，S=30，n=5；第五次循环后，S=62，n=6；第六次循环后，S=126，n=7，满足了S=126，循环结束，所以条件①为n6？、
答案：B
二、填空题：本大题共4小题，每小题5分，共20分、
11、将二进制数101 101（2）化为八进制数，结果为__________、
解析：先化成十进制再化成八进制、
101 101（2）=125+024+123+122+02+1=45，
45=55（8）
答案：55（8）
12、下列程序运行后输出的结果为__________、
x=5y=―20IF x0 THENx=y―3ELSEy=y+3END IFPRINT x―y，y―xEND
解析：x=5，y=―20，由于x0不成立，故执行y=y+3=―17，故x―y=22，y―x=― 22、
输出的值为22，―22、
答案：22，―22
13、（2013湖南卷）执行如图所示的程序框图，如果输入a=1，b=2，则输出的a的`值为__________、
解析：根据题意，a=1，b=2；a=3，b=2；a=5，b=2；a=7，b=2；a=9，所以输出结果为9、
答案：9
本文导航 1、首页2、高一下学期数学期末考试试卷―23、高一下学期数学期末考试试卷―34、高一下学期数学期末考试试卷―45、高一下学期数学期末考试试卷―5
14、执行如图所示的程序框图，若输入n的值为8，则输出S的值为__ ________、
解析：第一次运行，S=2，i=4，k=2；
第二次运行，S=1224=4，i=4+2=6，k=2+1=3；
第三次运行，S=1346=8，i=6+2=8，k=3+1=4；
故输出S=8、
答案：8
三、解答题：本大题共4小题，满分50分、解答应写出文字说明、证明过程或演算步骤、
15、（12分）设计一个程序，计算12+4 2+72++1002 的'值，并画出程序框图、
解：程序框图，如图所示：
（6分）
根据程 序框图，编写如下程序：
（WHILE语句）
（12分）
或用UNTIL语句
i=1S=0DO S=S+i^2 i=i+3LOOP UNTIL i100PRINT SEND
（12分）
16、（12分）已知程序框图如图所示，求输出的x值、
解：当x=1时，执行x=x+1后x=2；（2分）
当x=2时，执行x=x+2后x=4，再执行x=x+1后x=5；（4分）
当x=5时，执行x=x+1后，x=6；（6分）
当x=6时，执行x=x+2后x=8，再执行x=x+1后x=9；（8分）
当x=9时，执行x=x+1后x=10；（10分）
当x=10时，执行x=x+2后，x=12，此时128，因此输出的x的值为12、（12分）
17、已知函数y=x2―3x0，2x2―6 x0、编写一个程序，对于输入的每一个x的值，都能得到相应的函数值，并写出算法步骤，画出程序框图、（12分）
解：算法步骤如下：
第一步，输入x值、
第二步，判断x的范围，
若x0，则y=x2―3，否则y=2x2―6、
第三步，输出y值、（4分）
程序框图如图所示：
（8分）
程序如下：
（12分）
18、（14分）某高中男子体育小组的100 m赛跑的成绩（单位：s）如下：
12、1，13、2，12、7，12、8，12、5，12、4，12、7，11、5，11、6，11、7、
从这些成绩中搜索出小于12、1 s的成绩，画出程序框图，编写相应的程序、
解：程序框图、
（7分）
程序如下：
i=1WHILE i=10 INPUT Gi IF Gi12、1 THEN PRINT Gi END IF i=i+1WENDEND
篇4：高一英语上册期末考试题及答案
第一部分：语言知识及应用(共三节，满分60分)
第一节 单项选择(共15小题;每小题1分，满分15分)
从A，B，C，D四个选项中，选出可以填入空白处的最佳选项，并在答题卡上将该项涂黑。
1. When first to the market, these products enjoy great success.
A. introducing B. introduced
C. introduce D. being introduced
2. It was on Christmas eve ________ he paid a visit to his former English teacher.
A. that B. when C. on which D. which
3. We the cake ten parts, and each of us took one share.
A. divided; from B. separated; from C. divided; into D. separated; by
4. I try to avoid him because he always bores me.
A. to meet B. have met C. having met D. meeting
5. —The window is dirty.
—I know. It _____ for weeks.
A. hasn’t cleaned B. didn’t clean
C. wasn’t cleaned D. hasn’t been cleaned
6. He put on his coat and for the door.
A. went B. headed
C. marched D. hiked
7. — Mom, I can’t see any point in working hard at all the subjects at school.
— Come on, . Years of hard work will surely in the future of your career.
A. pay back B. pay off
C. pay down D. pay for
8. Last week, only two people came to look at the house, _____ wanted to buy it.
A. none of them B. both of them
C. none of whom D. neither of whom
9. The manager of the company told us that very little ______ was made of the waste mateiral in the past.
A. cost B. value C. use D. matter
10. Better wear special clothing, a helmet and a life jacket, just _____ your boat gets upside down or even sinks.
A. in case B. so that C. as though D. in order that
11. Smoking, which may be ___ pleasure for some people, is ___ serious source of discomfort for others.
A. a ; / B. a; a C. / ; a D. a; the
12. ---The last one ___ carries all the luggage.
---Agreed!
A. arrived B. arrives C. to arrive D. arriving
13. I was about to leave ___ the telephone rang.
A. before B. as C. while D. when
14. ____ two exams to worry about, I have to work really hard this weekend.
A. With B. Because of C. As for D. Besides
15. ________ in the queue for half an hour, Tom suddenly realized that he had left his wallet at home.
A. To wait B. Have waited C. Having waited D. To have waited
第二节 完形填空(共15小题;每小题2分，满分30分)
阅读下面短文，从短文后所给各题的A、B、C、D四个选项中选出能填入相应空白处的最佳选项, 并将答案填写在答题卡标号为16-30的相应位置上。
Carmen’s mother Maria had just survived a serious heart attack. But without a heart transplant(移植)her life was in constant 16 .
Both the mother and daughter knew that the chances were very small: finding a donor heart that 17 Maria’s blood type could take years. However, Carmen was determined to save her mother. She kept 18 hospitals all over the country.
Days stretched out. By Christmas, Maria had trouble 19 from one end of the room to the other. Carmen lost all hope. She fell into a 20 of the hospital, crying.
“Are you okay?” a man asked.
Carmen sobbed as she told the stranger her story. This middle-aged man was named Frank, whose wife, Cheryl, a tender and devoted mother of four lovely children, had been in hospital with a brain disease and wouldn’t 21 it through the night. Suddenly, an idea came to Frank’s mind. He knew Cheryl had always wanted to 22 something from herself. Could her 23 go to Carmen’s mother?
After reviewing the data, doctors 24 Frank that his wife’s heart was by some miracle a perfect fit for Carmen’s mother. They were able to 25 the transplant.
That cold night, when Cheryl was 26 dead, Frank came to knock at Maria’s door. She was 27 for Frank’s family as she had been doing every day recently. Though Maria had never met Frank before, they both felt a strange bond as they hugged and cried.
On New Year’s Eve, Carmen attended Cheryl’s 28 with Frank’s family, who were singing their favorite song “My heart will go on.”
One day later, on New Year’s Day, Maria 29 with Cheryl’s heart. Yes, Cheryl’s loving heart would go on, for it was 30 in another loving mother’s chest.
16. A. change B. danger C. disorder D. pain
17. A. matched B. replaced C. controlled D. cooperated
18. A. finding B. interrupting C. touring D. phoning
19. A. rolling B. running C. walking D. jumping
20. A. corner B. bed C. man D. nurse
21. A. put B. support C. pass D. make
22. A. save B. recycle C. donate D. separate
23. A. heart B. brain C. husband D. spirit
24. A. informed B. warned C. congratulated D. reminded
25. A. give up B. carry out C. search after D. put off
26. A. noticed B. predicted C. found D. declared
27. A. praying B. begging C. decorating D. singing
28. A. funeral B. operation C. performance D. anniversary
29. A. passed away B. left behind C. woke up D. dressed up
30. A. active B. alive C. necessary D. changeable
第三节 语法填空(共10小题，每小题1.5分，满分15分)
阅读下面短文，按照句子结构的语法性和上下文连贯的要求，在空格处填入一个适当的词或使用括号中词语的正确形式填空，并将答案填写在答题卷上标号为31-40的相应位置。
For 72 years, Lisa Gumpel kept a secret . “For a long time, I was determined not to tell anyone about it,” said Gumpel, 85 years old, 31 finally settled in Minnesota after the war and now lives in the Twin Cities.
She told people that she and her two sisters were among 669 Jewish children 32 (save) by a kind man to escape from the Nazi concentration camp in 1939. Their rescuer was 33 British businessman named Nicholas Winton, who also kept the story to 34 until his wife found a list of the children’s names.
Gumpel was shocked in 1988 when the 35 (true) about Winton’s one-man rescue operation finally came out. “Nobody knew that he actually did all 36 himself,” she said. “He worked so hard to save lives.”
Winton still doesn’t think that he’s a hero, arguing that his life was never 37 danger and that he was doing 38 he feels every person should do.
A party was held for him and the people he’d saved. Gumpel was 39 (excite) when she finally met him. “He still 40 (treat) us all like we’re his kids,” she said with a warm smile on the face.
第二部分：阅读(共两节，满分50分)
第一节：阅读理解(共20小题;每小题2分，满分40分)
阅读下列短文，从每题所给的A、B、C和D项中，选出最佳选项，并在答题卡上将该项涂黑。
A
It feels like every time my mother and I start to have a conversation, it turns into an argument. We talk about something as simple as dinner plans and suddenly, my mother will push the conversation into World War 3. She’ll talk about my lack of bright future because I don’t plan to be a doctor. And much to her disappointment, I don’t want to do any job related to science, either. In fact, when I was pushed to say that I planned to major(主修) in English and communications, she nearly had a heart attack.
“Why can’t you be like my co-worker’s son?” she bemoans all the time. Her coworker’s son received a four-year scholarship and is now earning 70,000 dollars a year as an engineer. I don’t know what to answer except that I simply can’t be like Mr. Perfect as I’ve called the unnamed co-worker’s son. I can’t be like him. I am the type of the person who loved to help out in the community, write until the sun goes down, and most of all, wants to achieve a career because I love it, not because of a fame or salary.
I understand why my mother is worried about my future major. I’ve seen my mother struggle to raise me on her small salary and work long hours. She leaves the house around 6:30 am and usually comes home around 5 pm or even 6pm. However, I want her to know that by becoming a doctor, it doesn’t mean I’ll be successful. I’d rather follow my dreams and create my own future.
41. Which of the following topics do the writer and his mother often talk about?
A. the writer’s studies B. wars around the world
C. dinner plans D. the writer’s future job
42. We can infer from Paragraph 1 that the writer’s mother _____.
A. doesn’t think the writer should be a doctor
B. doesn’t want the writer to major in English
C. gets along very well with the writer
D. doesn’t think working in the scientific field is a good idea
43. The underlined word “bemoans” in Paragraph 2 most probably means “________”.
A. agrees B. shouts C. smiles D. complains
44. Which of the following statements is probably TRUE about the writer?
A. He wants to be like his mother’s co-worker’s son.
B. He wants to find a job in his community in the future.
C. He wants to do something he really likes in the future.
D. He doesn’t think his mother’s co-worker’s son is perfect.
45. We can know from the last paragraph that ____.
A. the writer’s mother works very hard for the family
B. the writer doesn’t know what his future will be like
C. the writer doesn’t think being a doctor is a good job
D. the writer sometimes thinks his mother’s advice is very good
B
In 1939, two brothers, Mac and Dick McDonald, started a drive-in restaurant in San Bernardino, California. They carefully chose a busy corner for their location. They had run their own businesses for years, first a theater, then a barbecue restaurant, then another drive-in. But in their new operation, they offered a new, shortened menu: French fries, hamburgers, and sodas. To this small selection they added one new concept: quick service, no waiters or waitresses, and no tips.
Their hamburgers sold for fifteen cents. Cheese was another four cents. Their French fries and hamburgers had a remarkable uniformity(一致), for the brothers had developed a strict routine for the preparation of their food, and they insisted on their cooks’ sticking to their routine. Their new drive-in became incredibly popular, particularly for lunch. People drove up by the hundreds during the busy noontime. The self-service restaurant was so popular that the brothers had allowed ten copies of their restaurant to be opened. They were content with this modest success until they met Ray Kroc.
Kroc was a salesman who met the McDonald brothers in 1954, when he was selling milkshake-mixing machines. He quickly saw the unique appeal of the brothers’ fast-food restaurants and bought the right to franchise (特许经营) other copies of their restaurants. The agreement struck included the right to duplicate the menu, the equipment, even their red and white buildings with the golden arches (拱门).
Today McDonald’s is really a household name. Its names for its sandwiches have come to mean hamburger in the decades since the day Ray Kroc watched people rush up to order fifteen-cent hamburgers. In 1976, McDonald’s had over $1billion in total sales. Its first twenty-two years is one of the most incredible success stories in modern American business history.
46.This passage mainly talks about_______.
A. the development of fast food services
B. the business careers of Mac and Dick McDonald
C. how McDonald’s became a billion-dollar business
D. Ray Kroc’s business talent
47.Mac and Dick managed all of the following businesses EXCEPT ______.
A. a drive-in B. a theater
C. a barbecue restaurant D. a cinema
48. According to the article, the right order of McDonald’s development is _______.
① Sell the right to franchise(特许经营) their restaurants
② Allow ten copies of their restaurant to be opened
③ Start a drive-in restaurant in San Bernardino, California
④ Has over $1 billion in total sales
A. ③②①④ B. ③①②④ C. ③①④② D. ③②④①
49. We may infer from this passage that _________.
A. Mac and Dick McDonald never became wealthy for they sold their idea to Kroc
B. the location the McDonald’s chose was the only source of the great popularity of their drive-in
C. Ray Kroc was a good businessman
D. forty years ago there were numerous fast-food restaurants
50. The passage suggests that ________.
A. Ray Kroc was the close partner of the McDonald brothers
B. creativity is an important element of business success
C. Mac and Dick McDonald became broke after they sold their ideas to Ray Kroc
D. California is the best place to go into business
C
Whether you’re headed to another country for business or pleasure, it is likely that you need to keep in touch with family or business partners in the United States. But if you plan to do that using your cell phone, you could have an unwelcome surprise---U.S. cell phones don’t work abroad. U.S. companies use different forms of technology, not like most of the international community, including Europe.
However, there is an easy, cost-effective solution to staying in touch while you’re traveling. You can rent a phone that is guaranteed to work in the countries you’re visiting. Roadpost offers a 30-day cell phone rental plan that includes free incoming calls, free voicemail and call waiting services.
The service is convenient and simple. You can place your order online and your phone will be shipped to arrive on the date you want. If an unexpected business trip comes up, Roadpost can provide next-day delivery for most cities. In addition to the phone, Roadpost provides a spare battery, travel charger and a leather carrying case.
When your phone is shipped from Roadpost, you receive an e-mail confirmation that contains your international cell phone number so you can leave it with family members and business partners; Roadpost even provides business cards preprinted with your international phone number.
Those who don’t want to be without e-mail while traveling can rent an international BlackBerry. It can be hard to stay in touch by e-mail when traveling. With an international BlackBerry, you can email as much as you like, without worrying about an expensive bill. If you’re traveling to very remote areas, you may want to consider renting a satellite phone: Because they receive their signals from satellites, these phones work anywhere on the planet, including oceans and mountains. When you return, simply ship the phone or BlackBerry back to Roadpost using the return kit the company provides.
51. According to the text, Roadpost probably is______.
A. an organization that offers some free services
B. a person who offers some advice to foreign tourists
C. a company that rents cell phones to Americans going abroad
D. a Person who makes travel plans for Americans
52. The first paragraph mainly tells us that ______.
A. Americans need to change their cell phones
B. U.S. cell phones don't work abroad
C. European form of technology is different from America's
D. Americans who go abroad will meet an unwelcome surprise
53. Which of the following will help you a lot in mountainous areas?
A. BlackBerry. B. The return kit.
C. E-mail. D. Satellite phones.
54. According to the text, it can be inferred that ______.
A. Roadpost can offer cell phones using in different areas
B. an international BlackBerry is mainly used to send e-mail
C. you should select a bag used to send your cell phone
D. Roadpost's service is convenient and simple
55. Which of the free services can you get from Road post?
A. Sending e-mail B. Voicemail.
C. Shipping the phone back. D. Call waiting services.
D
The temperature of the sun is over 5,000 degrees Fahrenheit at the surface, but it rises to perhaps more than 16 million degrees at the center. The sun is so much hotter than the earth that matter can exist only as a gas, except at the core. In the core of the sun, the pressures are so great against the gases that, despite the high temperature, there may be a small solid core. However, no one really knows, since the center of the sun can never be directly observed.
Solar astronomers do know that the sun is divided into five layers or zones. Starting at the outside and going down into the sun, the zones are the corona, chromosphere, photosphere, convection zone and finally the core. The first three zones are regarded as the sun’s atmosphere ends and the main body of the sun begins.
The sun’s outermost layer begins about 10,000 miles above the visible surface and goes outward for millions of miles. This is the only part of the sun that can be seen during an eclipse such as the one in February 1979. At any other time, the corona can be seen only when special instruments are used on cameras and telescopes to shut out the glare of the sun’s rays.
The corona is a brilliant, pearly white, filmy light, about as bright as the full moon. Its beautiful rays are a sensational sight during an eclipse. The corona’s rays flash out in a brilliant fan that has wispy spikelike (一束束穗状) rays near the sun’s north and south poles. The corona is thickest at the sun’s equator.
The corona rays are made up of gases streaming outward at tremendous speeds and reaching a temperature of more than 2 million degrees Fahrenheit. The rays of gas thin out as they reach the space around the planets. By the time the sun’s corona rays reach the earth, they are weak and invisible.
56. Matter on the sun can exist only in the form of gas because of the sun’s ______.
A. size B. age C. location D. temperature
57. With what topic is the second paragraph mainly concerned?
A. How the sun evolved. B. The structure of the sun.
C. Why scientists study the sun. D. The distance of the sun from the planets.
58. All of the following are parts of the sun’s atmosphere EXCEPT the _______.
A. corona B. core C. photosphere D. chromosphere
59. According to the passage, as the corona rays reach the planets, they become _______.
A. hotter B. clearer C. thinner D. stronger
60. The paragraph following the passage most likely discusses which of the following?
A. The remaining layers of the sun.
B. The evolution of the sun to its present form.
C. The eclipse of February 1979.
D. Scientists will cost more money on researching the corona.
第二节信息匹配(共5小题;每小题2分，满分10分)
阅读下列应用文及相关信息，并按照要求匹配信息。
A. Hunan silk embroidery is one of the most famous Chinese embroideries, which was originated almost 2,000 years ago. By using pure silk threads, they are all hand-embroidered with soft and thin rayon and diaphanous materials. Embroidery is perfect for room decoration, gift or collection.
B. Batik is both an art and a craft art of waxing and dyeing fabric to create beautiful works of art. The most fascinating feature of Batik is its uniqueness in style and it is becoming more popular and well known in the west as a wonderfully creative medium. The art of decorating cloth in this way, using wax and dye, has been practiced for centuries.
C. Chinese fans are generally hand-made of bamboo, both side decorated with calligraphy of ancient Chinese verses or famous Chinese paintings on paper or silk fabric. Paper is the common material to use on the cover of the folding fan. The cover consists of the color cover and white cover. And the golden cover is the daintiest, complicated and popular kind.
D. Chinese knots are typical local arts of China. The silk handicraft is woven separately from one piece of thread and named according to its shape and meaning. In Chinese. “knot” means reunion, friendliness, peace, warmth, marriage, love, etc.
E. Chinese scroll painting: The art of the Chinese scroll painting dates back at least 4,000 years. This art form is considered by many people as the highpoint of aesthetically speaking during the cultural history of Chinese civilization. The Chinese use special brushes and inks to create calligraphy, which are the same tools used for the scrolls. Chinese paintings are mounted on silk brocade, ready for hanging display.
F. Papercuts: People in the countryside like to paste pretty paper designs on their doors and windows during festivals. The designs, called papercuts, are a kind of folk art often used to reflect the life of the people. They create designs of the country’s scenic spots, beautiful birds and flowers to symbolize their happy life. Chinese folk papercuts are made with scissors or knives and dyed after being cut in distinctive artistic styles.
61. Mike is fond of Chinese calligraphy very much. He wishes to have something that is decorated with it.
62. Su Ning’s best friend is getting married. She wants to present her friend with something that can express marriage and love.
63. Jinnee wants beautiful silk table cloths which are attractive and colorful enough to bring about a dramatic change in the decoration of her new house. She can customerize the sizes, colors and fabrics of the tablecloths she would like to buy in her order. Craftswomen are experienced in sewing the tablecloths which are exactly what she wants.
64. Jackson’s work is about colors that make him feel good, images that make him smile, and they way light can fall on even the most ordinary situations presenting an opportunity for creative translation. He has been intrigued with the mysterious interactions of wax and dye on fabric since early childhood.
65. Chatty has traveled around China searching for the best artists and artwork. He has bought Suzhou Painting, the famous “watertown” of China, which is called “Chinese Venice”. Is Suzhou’s history, a main source of transportation was by boat along the many canals and rivers throughout the city.
顾客 中国工艺美术
61.Mike A.Hunan silk embroidery
62.Su Ning B.Batik
63.Jinnee C.Chinese fans
64.Jackson D.Chinese knots
65.Chatty E.The art of the Chinese scroll painting
F.Papercuts
第三部分：单词拼写和写作(共两节，满分为40分)
第一节 单词拼写 (共25题，每小题1分，满分25分)
根据首字母和已给出的中文，写出的正确的单词，每空填一个词
66. Strickly speaking, we should get the boss's p_______(允许) before we do this.
67. There is e________(电) a few hours a day only, usually at night.
68. All cars must be e_______(装备) with parts to reduce emissions.
69. The mother was filled with a_______(焦虑)about her daughter’s health.
70.The animal was still b______(呼吸), so it was still alive.
71.They are such rock music a______(爱好者) that they won’t miss one single rock concert.
72.What c_______(导致) him to quit his job? He had been in this company for almost all his life!
73. Mary spent her spare time c_______(创作) poetry.
74. The band had their new album r______(录制) in Beijing.
75. This play is divided into three acts, and each act has three s______(场景).
76.It was a period of w______(财富) and prosperity.
77. They were designed to re-build trust in the American economy, and help the u________(失业者) and those in danger of losing their homes and farms.
78. The young lady before you told me a d________(令人愉悦的) story.
79. Every p_______ (参与者) completed a detailed questionnaire about key events in their life
80. But as t_______(能干的) and successful as he was, he was also deeply troubled.
81. She was able to get the government and i_______(保险) companies to help patients with the cost of their care
82. The teacher gave i_______(指示) that she was not to be disturbed.
83. Shenzhen, a city located in the south of Guangdong P_______(省), is very famous nationwide because of its rapid economic development.
84. We went along to the local golf club e_______ (热情地).
85. He was so glad that he was a_______ (被录取) to Qinghua University.
86. Home is a place where you can r_______(放松)and just be yourself.
87. Now I can see the tower clearly from a d_______ (距离) of around 100 miles.
88. The teacher looks absolutely e_______ (疲惫不堪的) after 4 extra classes for a whole day.
89. You’d better seek p_______ (专业的) advice about your plan for study abroad.
90. With New Year approaching, many supermarkets put goods for sale at a_______ (诱人的) prices.
第二节 基础写作 (共1题;满分15分)
假如你们学校近期派遣一学生团去英国某大学英语语言专业参观学习英语发展史，你是其中的一员。现在回到学校，请你写一篇自己对英语发展和英语学习的感想，基本内容如下：
发展概况 在16世纪末 只由英国的当地人使用
在过去的4个世纪内 发生了巨大的变化
现在 已成为世界语言，分为英国英语和美国英语;在很多亚洲和非洲国家，如印度和中国，有很多人把英语当做第二语言来和外语来学习。
感 想 英语在生活中的确很重要;我们一定要尽力学好它。
[写作要求]
只能使用5个句子表达全部内容。
[评分标准]
句子结构准确，信息内容完整， 篇章结构连贯
篇5：高一英语上册期末考试题及答案
第一部分：语言知识及应用(共三节，满分60分)
第一节 单项选择(共15小题;每小题1分，满分15分)
1-15 BACDD BBDCA BCDAC
第二节 完形填空(共15小题;每小题2分，满分30分)
16-30 BADCA DCAAB DAACB
第三节 语法填空(共10小题，每小题1.5分，满分15分)
31~35 who, saved, a, himself, truth 36~40 by, in, what, excited, treats
第二部分：阅读(共两节，满分50分)
第一节：阅读理解(共20小题;每小题2分，满分40分)
41-50 DBDCA CDACB 51-60 CBDAB DBBCA
第二节信息匹配(共5小题;每小题2分，满分10分)
61—65 CDABE
第三部分：单词拼写和写作(共两节，满分为40分)
第一节 单词拼写 (共25题，每小题1分，满分25分)
66.permission 67.electricity 68.equipped 69.anxiety 70.breathing
71.addicts 72.caused 73.composing 74.recorded 75.scenes
76.wealth 77.unemployed 78.delightful 79.participant
80.talented 81.insurance 82.instructions 83.Province 84. enthusiastically
85. admitted 86. relax 87. distance 88. exhausted 89. professional 90. attractive
第二节 基础写作 (共1题;满分15分)
Possible version：
At the end of the 16th century, English was only spoken by the native speakers. However, English has changed quite a lot over the past four centuries. At present, English, including British English and American English, has become an international language. A great number of people in some African and Asian countries, such as India and China, speak English as the second language or learn it as a foreign language. As far as I’m concerned, English is so important in our daily life that we must try our best to learn it well.
篇6：高一数学下期末考试题带答案
一、选择题(每小题5分，共60分。在每小题给出的四个选项中，只有一项是符合题目要求的，请把符合要求的选项选出来。)
1、二进制数 化为十进制数为( )
A. B. C. D.
2、现从编号为 的 台机器中，用系统抽样法抽取 台，测试其性能，则抽出的编号可能为( )
A. ， ， B. ， ，
C. ， ， D. ， ，
3、不等式 的解集是( )
A. B.
C. D.
4、在 中， ，那么 等于( )
A. B. C. D.
5、执行如图1所示的程序框图,若输入 的值为3,则输出 的值是( )
A.1 B.2 C.4 D.7
6、在区间 上随机地取一个数 ,则事件“ ”发生的概率为( )
A. B. C. D.
7、下列说法正确的是 ( )
A.已知购买一张彩票中奖的概率为 ，则购买 张这种彩票一定能中奖;
B.互斥事件一定是对立事件;
C.如图，直线 是变量 和 的线性回归方程，则变量 和 相关系数在 到 之间;
D.若样本 的方差是 ，则 的方差是 。
8、某超市连锁店统计了城市甲、乙的各 台自动售货机在中午 至 间的销售金额，并用茎叶图表示如图.则有( )
A.甲城销售额多，乙城不够稳定 B.甲城销售额多，乙城稳定
C.乙城销售额多，甲城稳定 D.乙城销售额多，甲城不够稳定
9、等差数列{an}的前n项和为Sn，若 ， ，则 ( )
A. 12 B.18 C. 24 D.42
10、设变量 满足 则目标函数 的最小值为( )
A. B. 2 C. 4 D.
11、若函数 在 处取最小值，则 ( ).
A. B. C. D.
12、在数列 中， ， ，则 =( )
A. B. C. D.
高 一 数 学
卷Ⅱ(解答题，共70分)
题号 二 三 Ⅱ卷
总分
13-16 17 18 19 20 21 22
得分
二、填空题(本大题共4小题，每小题5分，共20分。)
13、已知数列 中， ， ( )，则数列 的前9项和等于 .
14、若函数 的定义域为R，则实数 的取值范围是________.
15、读右侧程序，此程序表示的函数为
16、若对任意 ， 恒成立，则 的取值范围是 .
三、解答题(本题有6个小题，共70分，解答应写出文字说明，证明过程或演算步骤。)
17、(本题满分10分)如图，为测量山高 ，选择 和另一座山的山顶 为测量观测点.从 点测得 点的仰角 ， 点的仰角 以及 ;从 点测得 .已知山高 ，则山高 是多少米?
18、(本题满分12分)为了解某单位员工的月工资水平，从该单位500位员工中随机抽取了50位进行调查，得到如下频数分布表和频率分布直方图：
月工资
(单位：百元) [15,25) [25,35) [35,45) [45,55) [55,65) [65,75)
男员工数 1 8 10 6 4 4
女员工数 4 2 5 4 1 1
(1) 试由上图估计该单位员工月平均工资;
(2)现用分层抽样的方法从月工资在 和 的两组所调查的男员工中随机选取5人，问各应抽取多少人?
(3)若从月工资在 和 两组所调查的女员工中随机选取2人，试求这2人月工资差不超过1000元的概率.
19、(本题满分12分)等比数列 的各项均为正数，且 ， .
(Ⅰ)求数列 的通项公式;
(Ⅱ)设 ，求数列 的前 项和.
20、(本题满分12分)“奶茶妹妹”对某时间段的奶茶销售量及其价格进行调查，统计出售价 元和销售量 杯之间的一组数据如下表所示：
价格
5 5.5 6.5 7
销售量
12 10 6 4
通过分析，发现销售量 对奶茶的价格 具有线性相关关系.
(Ⅰ)求销售量 对奶茶的价格 的回归直线方程;
(Ⅱ)欲使销售量为 杯，则价格应定为多少?
附：线性回归方程为 ，其中 ，
21、(本题满分12分) 的三个角 的对边分别为 满足 .
(1)求 的值;
(2)若 ，求 面积的最大值.
22、(本题满分12分)在数列 中，
(I)求证数列 是等比数列;
(II)设 ，求数列 的前 项和 .
试题答案
一、选择题 ADBCC ACDCB CA
二、填空题 13、27; 14、
15、16、
三、解答题
17、(本题满分10分)
解：根据题图，AC=1002 m.
在△MAC中，∠CMA=180°-75°-60°=45°.
由正弦定理得ACsin 45°=AMsin 60°⇒AM=1003 m.
…………6分
在△AMN中，MNAM=sin 60°，
∴MN=1003×32=150(m).…………10分
18、(本题满分12分)
(1)
即该单位员工月平均工资估计为4300元.…………………………………………4分
(2)分别抽取3人，2人 …………………………………6分
(3)由上表可知：月工资在 组的有两名女工，分别记作甲和乙;月工资在 组的有四名女工，分别记作A,B,C,D.现在从这6人中随机选取2人的基本事件有如下15组：
(甲，乙)，(甲，A)，(甲，B)，(甲，C)，(甲，D)，
(乙，A)，(乙，B)，(乙，C)，(乙，D)，
(A，B)，(A，C)，(A，D)，
(B，C)，(B，D)，
(C，D)
其中月工资差不超过1000元，即为同一组的有(甲，乙)，(A，B)，(A，C)，(A，D)，(B，C)，(B，D)，(C，D)共7组，
∴所求概率为 ……………………………………………………………………12分
19、(本题满分12分)
(1)设数列{an}的公比为q.由a23=9a2a6得a23=9a24，所以q2=19.
由条件可知q>0，故q=13.
由2a1+3a2=1得2a1+3a1q=1，得a1=13.
故数列{an}的通项公式为an=13n. …………6分
(2)bn=log3a1+log3a2+…+log3an
=-(1+2+…+n)=-nn+12.
故1bn=-2nn+1=-2(1n-1n+1)，
1b1+1b2+…+1bn=-2[(1-12)+(12-13)+…+(1n-1n+1)]=-2nn+1.
所以数列{1bn}的前n项和为-2nn+1. …………12分
20、(本题满分12分)
解:(1)(Ⅰ) = =6， = =8. …………2分
=5×12+5.5×10+6.5×6+7×4=182， …………3分
=52+5.52+6.52+72=146.5， …………4分
= =﹣4， =8+4×6=32. …………6分
∴销售量y对奶茶的价格x的回归直线方程为 =﹣4x+32. …………8分
(Ⅱ)令﹣4x+32=13，解得x=4.75.
答：商品的价格定为4.75元. …………12分
21、(本题满分12分)
解：(1)由余弦定理得：
2bcos A=c•b2+c2-a22bc+a•a2+b2-c22ab=b，
∴cos A=12，由0
(2)∵a=2，由余弦定理得：
4=b2+c2-2bccos π3=b2+c2-bc≥2bc-bc=bc.
∴bc≤4，当且仅当b=c时取等号，
∴S△ABC=12bcsin A=12bc•32≤34•4=3.
即当b=c=a=2时，△ABC面积的最大值为3. …………12分
22、(本题满分12分)
解：(I)由 得 ，
所以 是公比为2的等比数列。 …………4分
(II)由(I)知，数列 的首项为 ，公比为2，
， …………6分
所以
两式相减，得
所以 …………12分
篇7：高一数学下期末考试题带答案
第I卷 选择题(共60分)
一、选择题：本大题共12小题，每小题5分，共60分，在每小题给出的的四个选项中，只有一项是符合题目要求的.
1. 从学号为0～50的高一某班50名学生中随机选取5名同学参加数学测试,采用系统抽样的方法,则所选5名学生的学号可能是( )
A. 1, 2, 3, 4, 5 B. 2, 4, 6, 8, 10 C. 4, 14, 24, 34, 44 D. 5, 16, 27, 38, 49
2.228与1995的最大公约数是( )
A.57 B.59 C.63 D.67
3.已知 为角 的终边上的一点 ，且 ，则 的值为
A. B. C. D.
4.我校高中生 共有2700人，其中高一年级900人 ，高二年级1200人，高三年级600人，现采取分层抽样法抽取容量为135的样本，那么高一、高二、高三各年级抽取的人数分别为( )
A.45，75，15 B.45，45，45 C.30，90，15 D.45 ，60，30
5.将二进制数 转化为十进制数，结果为( )
A.51 B.52 C.53 D.54
6.抛掷一枚骰子，记事件A为“落地时向上的数是奇数”，事件B为“落地时向上的数是偶数”，事件C 为“落地时向上的数是2的倍数”，事件D为“落地时向上的数是4的倍数”，则下列每对事件是互斥事件但不是对立事件的是( )
A. A与BB. B与C C.A与 D D.B与D
7.函数 的部分图象如图 所示，若 ，且 ，则 ( )
A. B. C. D.
8. 已知程序框图如右图，如果输入三个实数a、b、c，
要求输出这三个数中最大的数，那么在空白的判断框中，
应该填入 ( ).
A. B. C. D.
9.一组数据中的每个数据都减去80，得一组新数据，若求
得新数据的平均数是1.2，方差是4.4，则原来数据的平均数
和方差分别是 ( )
A. 81.2, 84.4 B. 78.8 , 4.4
C. 81.2, 4.4 D. 78.8, 75.6
10.已知关于 的一元二次方程 ，若 是
从区间任取一个数， 是从区间任取的一个数，
则上述方程有实根的概率为( )
A. B. C. D.
11.有两个质地均匀、大小相同的正四面 体玩具，每个玩具的各面上分别写有数字1，2，3，4.把两个玩具各抛掷一次，向下的面的数字之和能被5整除的概率为 ( )
A.116 B.14 C.38 D.12
12.在直角△ABC中，∠BCA=90°，CA=CB=1，P为AB边上的点且 ，若 ，则λ的取值范围是( )
A.[ ，1] B.[ ， 1 ] C.[ ， ] D.[ ， ]
第II卷 非选择题(共90分)
二、填空题：本大题共4小题，每小题5分，共20分，把答案填在答题卷的横线上.
13.在如图所示的茎叶图中，甲、乙两组数据的中位数
的和是______________
14.已知 ，其中 为第三象限角，
则 ______.
15.用秦九韶算法计算多项式 在 时的值时, 的值为 _________________.
16.给出下列命题：① 存在实数 ，使 ;②若 是第一象限角，且 ，则 ;③函数 是奇函数;④函数 的周期是 ;⑤函数 的图象与函数 ( )的图像所有交点的横坐标之和等于6.
其中正确命题的序号是 (把正确命题的序号都填上)
三、解答题(本小题共70分，解答应写出文字说明、证明过程或演算步骤)
17.(本小题满分10分)
已知 是方程 的两根，且 .
(1)求 的值; (2)求 的值.
18.(本小题满分12分)
已知函数 的最大值是 ，其图象经过点 .
(1)求 的解析式;
(2)已 知 ， ，且 ， ，求 的值.
19. (本小题满分12分)
某校从参加考试的学生中抽出60名学生，将其成绩(均为整数)分成六组后画出如下部分频率分布直方图.观察图形的信息，回答下列问题：
(Ⅰ)求成绩落在的学生中任选两人，求他们在同一分数段的概率.
20.(本小题满分12分)
某种产品在五个年度的广告费用支 出 万元与销售额 万元的统计数据如下表：
2 4 5 6 8
20 35 50 55 80
(I)根据上表提供的数据，求出 关于 的线性回归方程;
(II)据此模型估计某年度产品的销售额欲达到108万元，那么本年度收入的广告费约为多少万元?(回归方程为 其中： )
21.(本小题满分12分)
某校高一(1)班有男同学45名，女同学15名，老师按照分层抽样的方法抽取4人组建了一个课外兴趣小组.
(I)求课外兴趣小组中男、女同学的人数;
(II)经过一个月的学习、讨论，这个兴趣小组决定选出两名同学做某项实验，方法是从小组里选出一名同学做实验，该同学做完后，再从小组内剩下的同学中选出一名同学做实验，求选出的两名同学中恰有一名女同学的概率;
(III)在(II)的条件下，第一次做实验的同学A得到的实验数据为38,40,41,42,44，第 二次做实验的同学B得到的实验数据为39,40,40,42,44，请问哪位同学的实验更稳定?并说明理由.
22.(本小题满分12分)
如图，已知OPQ是半径为 ，圆心角为 的扇形，C是扇形弧上的动点，ABCD是扇形的内接矩形.记 ，求当角 取何值时 ，矩形ABCD的面积最大?并求出这个最大面积.
参考答案
一. 选择题
1. C 2. A 3. B 4. D 5. A 6. C 7. D 8. D 9. C 10. A 11. B 12. B
二.填空题 13. 64 14. 15. 16. ⑤
三、解答题 17.答案：( 1). 是方程 的两根，
.
……………5分
(2). ， ，且 ， ………………………10分
18. 解：(1)依题意有 …………………………1分
则 ，将点 代入得 ，………3分
而 ， ， ，
故 ……………………………………………6分
(2)依题意有 ，而 ，…………………8分
，…………………10分
…………12分
19. 解(Ⅰ)成绩落在的学生中任选两人，他们的成绩在同一分数段”， 表示“所选两人成绩落在内”，则 和 是互斥事件，且
, 从而 ,
因为 中的基本事件个数为15， 中的基本事件个数为3，全部基本事件总 数为36，
所以 所求的概率为 ……………………………12分
20解：(Ⅰ) ……………………………………………2分
，……………………………………6分 ，
故 关于 的线性 回归方程为： ……8分
(Ⅱ)当 时，代入回归直线方程得 ，
故本年度投入的广告费用约为11万元.……………………………12分
21.解：(Ⅰ)设课外兴趣小组中有 名男同学，
则 解得 =3，
所以男同学的人数为3、女同学的人数分别为1. ……………3分
(Ⅱ)把三名男同学和一名女同学分别记为 则选取两名同学先后做实验的基本事件有：
共12种， …………………5分
其中有一名女同学的情况有6种， …………………6分
所以选出的两名同学中恰有一名女同学的概率为 …………8分
(Ⅲ)由题知， ……9分
，
……………11分
故同学B的实验更稳定. …………………………12分
22解：如图，在 中，OB=cosα，BC=sinα，
在Rt△OAD中， =tan60°= ，所以OA= DA= BC= sinα.
所以AB=OB﹣OA=cosα- sinα.………………4分
设矩形ABCD的面积为S，则
S=AB•B C=(cosα- sinα)sinα
=sinαcosα - sin2α
= sin2α+ cos2α﹣
= ( sin2α+ cos2α)﹣
= sin(2α+ )- .……………………… ………8分
由于0<α< ，所以当2α+ = ，
即 α= 时， = ﹣ = .
因此，当α= 时，矩形ABCD的面积最大，最大面积为 .………………12分
篇8：高一数学下期末考试题带答案
一.选择题：(本大题共12小题，每小题5分，共60分.在每小题给出的四个选项中，只有一项是满足题目要求的.)
1. 已知 且 ，下列不等式中成立的一个是( )
A. B. C. D.
【答案】B
【解析】由不等式的性质结合题意：
∵c
∴−c>−d，且a>b，
相加可得a−c>b−d，
故选：B
2. 已知向量 ，向量 ，且 ，那么 等于( )
A. 8 B. 7 C. 6 D. 5
【答案】C
【解析】由向量平行的充要条件有： ，解得： .
本题选择C选项.
3. 在 中， ，则A为( )
A. 或 B. C. 或 D.
【答案】A
【解析】由正弦定理： 可得： ，
则A为 或 .
本题选择A选项.
点睛：已知两角和一边，该三角形是确定的，其解是唯一的;已知两边和一边的对角，该三角形具有不唯一性，通常根据三角函数值的有界性和大边对大角定理进行判断.
4. 下列结论正确的是( )
A. 各个面都是三角形的几何体是三棱锥;
B. 一平面截一棱锥得到一个棱锥和一个棱台;
C. 棱锥的侧棱长与底面多边形的边长相等，则该棱锥可能是正六棱锥;
D. 圆锥的顶点与底面圆周上的任意一点的连线都是母线
【答案】D...
【解析】A、如图所示，由两个结构相同的三棱锥叠放在一起构成的几何体，各面都是三角形，但它不是棱锥，故A错误;
B、一平行于底面的平面截一棱锥才能得到一个棱锥和一个棱台，因此B错误;
C、若六棱锥的所有棱长都相等，则底面多边形是正六边形.由过中心和定点的截面知，若以正六边形为底面，侧棱长必然要大于底面边长，故C错误;
D、根据圆锥母线的定义知，D正确.
本题选择D选项.
5. 某四面体的三视图如图所示，该四面体的体积为( )
A. B. C. D.
【答案】C
【解析】由题意可知，该几何体是在棱长分别为 的长方体中的三棱锥 ，
且： ，该四面体的体积为 .
本题选择A选项.
点睛：三视图的长度特征：“长对正、宽相等，高平齐”，即正视图和侧视图一样高、正视图和俯视图一样长，侧视图和俯视图一样宽.若相邻两物体的表面相交，表面的交线是它们的分界线，在三视图中，要注意实、虚线的画法.正方体与球各自的三视图相同，但圆锥的不同.
6. 已知 ，则 的值为( )
A. B. C. D.
【答案】B
【解析】由题意可得：
据此有： .
本题选择B选项.
7. 设 是公比为正数的等比数列， ，则 ( )
A. 2 B. -2 C. 8 D. -8
【答案】C
【解析】由题意有： ，即： ，
公比为负数，则 .
本题选择A选项.
8. 的内角 的对边分别为 ，已知 ，则 ( )
A. B. C. 2 D. 3...
【答案】D
【解析】由余弦定理： ，即： ，
整理可得： ,三角形的边长为正数，则： .
本题选择D选项.
9. 不等式 的解集为 ，则不等式 的解集为( )
A. B. C. D.
【答案】B
【解析】∵不等式ax2+bx+2>0的解集为{x|−1
∴−1,2是一元二次方程ax2+bx+2=0的两个实数根，且a<0，
∴ ，解得a=−1，b=1.
则不等式2x2+bx+a<0化为2x2+x−1<0，
解得−1
∴不等式2x2+bx+a<0的解集为 .
本题选择B选项.
点睛：解一元二次不等式时，当二次项系数为负时要先化为正，再根据判别式符号判断对应方程根的情况，然后结合相应二次函数的图象写出不等式的解集.
10. 已知各项均为正数的等差数列 的前20项和为100，那么 的最大值是( )
A. 50 B. 25 C. 100 D. 2
【答案】B
结合题意和均值不等式的结论有： ，
当且仅当 时等号成立.
本题选择B选项.
11. 对于任意实数 ，不等式 恒成立，则实数 的取值范围是( )
A. B. C. D.
【答案】A
【解析】当m=0时,mx2−mx−1=−1<0，不等式成立;
设y=mx2−mx−1，当m≠0时函数y为二次函数，y要恒小于0，抛物线开口向下且与x轴没有交点，即要m<0且△<0
得到： 解得−4
综上得到−4
本题选择A选项....
点睛：不等式ax2+bx+c>0的解是全体实数(或恒成立)的条件是当a=0时，b=0，c>0;当a≠0时， 不等式ax2+bx+c<0的解是全体实数(或恒成立)的条件是当a=0时，b=0，c<0;当a≠0时，
12. 两千多年前，古希腊毕达哥拉斯学派的数学家曾经在沙滩上研究数学问题.他们在沙滩上画点或用小石子表示数，按照点或小石子能排列的形状对数进行分类.如下图中实心点的个数 为梯形数.根据图形的构成，记此数列的第 项为 ，则 ( )
A. B. C. D.
【答案】D
【解析】观察梯形数的前几项，得
5=2+3=a1，
9=2+3+4=a2，
14=2+3+4+5=a3，
…
，
由此可得a=2+3+4+5+…+= ××，
∴a2013−5= ×2014×2017−5=1007×2017−5=×1006，
本题选择D选项.
二、填空题(本大题共4个小题，每小题5分，共计20分，将答案填在答题纸上)
13. 不等式 的解集是____________________。
【答案】
【解析】不等式即： ，则： ，
转化为二次不等式： ，
据此可得不等式的解集为： .
点睛：解不等式的基本思路是等价转化，分式不等式整式化，使要求解的不等式转化为一元一次不等式或一元二次不等式，进而获得解决.
14. 已知函数 在 处取最小值，则 ________________。
【答案】3
考点：均值不等式求最值
15. 在等比数列中，已知 ，求 =__________________。
【答案】 或
【解析】当 时满足题意，
否则： ，解得： ，
综上可得： 或 ....
16. 已知 ，则 __________________。
【答案】-13
【解析】由题意可得： .
三、解答题(本大题共70分. 解答应写出文字说明，证明过程或演算步骤)
17. 已知平面向量 的夹角为 ，且 。
(Ⅰ)求
(Ⅱ)求
【答案】(1)12(2)
【解析】试题分析：
首先求得 的值：
(1) 利用平面向量数量积的运算法则可得： = ;
(2)首先求得 的值，然后利用平面向量模的求解公式可得 .
试题解析：
解：
(Ⅰ) =
(2)
18. 已知函数 的最大值为2。
(1)求 的值及 的最小正周期;
(Ⅱ)求 的单调递增区间。
【答案】(1) (2)
【解析】试题分析：
(1)整理函数的解析式，由函数的最大值可得 ，函数的最小正周期为 ;
(2)结合(1)中的结论可得函数 的单调增区间为
试题解析：
解：(Ⅰ)
当 =1时，
的最小正周期为 。 ...
(Ⅱ)由(1)得
得
的单调增区间为
19. 在 中， 的对边分别是 ，且 成等差数列。 的面积为 。
(Ⅰ)求 的值;
(Ⅱ)若 ，求 的值。
【答案】(1)2(2) 或
【解析】试题分析：(1)首先根据A、B、C成等差数列求出角B，再根据安三角形面积公式 ，求出ac;
(2)根据余弦定理 ，求出 ，在根据(1)中的ac=2，即可求出a，c.
试题解析：解：(1).∵A、B、C成等差数列
∴2B=A+C
2分
∵
∴ac=2 4分
(2). ， ，
6分
即a=2 或 8分
考点：1. 正弦定理在三角形面积中的应用;2.余弦定理.
20. 已知 是等差数列， 是等比数列，且 ， ， ， 。
(Ⅰ)求 的通项公式;
(Ⅱ)设 ，求数列 的前 项和 。
【答案】(1) (2)
【解析】试题分析：(Ⅰ)由已知条件求得等比数列的首项和公比，从而得到 的首项和公差，从而得到其通项公式;(Ⅱ)首先求得数列 的通项公式，结合其特点采用分组求和法求解
试题解析：(Ⅰ)等比数列 的公比 ,
所以 ，
设等差数列 的公差为 ，因为 ， ,
所以 ，即 ，
因此 ...
(II)由(I)知， ， .
因此 .
从而数列 的前 项和
.
考点：等差数列等比数列通项公式;数列分组求和
21. 一个面积为 的矩形场地,要求矩形场地的一面利用旧墙(利用的旧墙需要维修),其它三面围墙要新建,在旧墙对面的新墙上要留下一个宽度为 的出口,如图所示,已知旧墙的维修费为45元/m,新墙的造价为180元/m.设利用的旧墙长度为 (单位:m),修此矩形场地围墙的总费用为 (单位:元).
(Ⅰ)将 表示为 的函数;
(Ⅱ)试确定 ，使修建此矩形场地围墙的总费用最小,并求出最小总费用。
【答案】(1) (2)当 m时,总费用最小,最小总费用为10440元.
【解析】试题分析：(1)设矩形的另一边长为am，则根据围建的矩形场地的面积为360m2，易得 ，此时再根据旧墙的维修费用为45元/m，新墙的造价为180元/m，我们即可得到修建围墙的总费用y表示成x的函数的解析式;(2)根据(1)中所得函数的解析式，利用基本不等式，我们易求出修建此矩形场地围墙的总费用最小值，及相应的x值
试题解析：(1)如图，设矩形的另一边长为a m
则 45x+180(x-2)+180•2a=225x+360a-360
由已知xa=360,得a= ,
所以y=225x+
(2)
.当且仅当225x= 时，等号成立.
即当x=24m时，修建围墙的总费用最小，最小总费用是10440元.
考点：函数模型的选择与应用
22. 已知点 是函数 图像上一点，等比数列 的前 项和为 。数列 的首项为2 ，前 项和满足 ( )。
(Ⅰ)求数列 的通项公式;
(Ⅱ)若数列 的前 项和为 ，问使 的最小正整数 是多少?
【答案】(1) (2)59
【解析】试题分析：
(1)利用题意求得数列的首项和公比均为 ，则数列 的通项公式是 ;
(2)裂项求得数列的前n项和为 ，求解关于n的不等式可得最小正整数为59
试题解析：
(Ⅰ)解： ，
，则等比数列 的前 项和为 ...
， ，
由 为等比数列，得公比
，则 ，
(Ⅱ)：由 ,得
时， ,则 是首项为1，公差为1的等差数列。
， ( )
则 ( )
当 时， 满足上式
，
由 ，得 ，则最小正整数为59
点睛：使用裂项法求和时，要注意正负项相消时消去了哪些项，保留了哪些项，切不可漏写未被消去的项，未被消去的项有前后对称的特点，实质上造成正负相消是此法的根源与目的.
篇9：初一英语期末考试题及答案
初一英语期末考试题及答案
一、单项选择（每空1分，共15 分）
( )1.He has _______ egg and ________ hamburger.
A.an;an B.a;a C.an;a D.a;an
( )2.---_________﹗Where is my cup?
---_________ ,I don’t know.
A.Excuse me;Yes B.Yes,Sorry C.Excuse me;Sorry D.Sorry;Yes
( )3.Sorry ,this is not ______ eraser.Please ask __________ .
A.his;his B.my;his C.his,me D.my;him
( )4.---How much _________ this bag? ---___________eight dollars.
A.be;It’s B.am;They’re C.is;It’s D.are;They’re
( )5.Thank you _______ the photo _______ your family.
A.for;for B.for;of C.of;of D.for;to
( )6.September is the_______ month of the year.
A.nineth B.tenth C.nine D. ninth
( )7. ―Your hat is very nice. ―______.
A. You are right B. Thats right C. You are welcome D. Thank you
( )8. I found a set of in the classroom.
A. key B. keysC. a key D. an key
( )9. —Is this pencil?
—Yes. The pen is , too.
A. your; my B. yours; mine C. your; mine D. yours; my
( )10.---_________ your father _________ eating meat?
A. Do;like B. Does;like C. Do;likes D. Are;like
( )11. This is my dress. That one is .
A. Mary’s B. my sister C. mother D. Mary
( )12、I don’t like this TV program. It’s _____.
A. fun B. difficult C. boring D. relaxing
( )13. Jim likes sports, he only watches them on TV?
A. and B. but C. or D. with
( )14．If you need my help, you can me__________ 63271567．
A．at B．by C．in D．to
( )15．__________is your backpack? It’s red and yellow．
A．What B．Where C．What color D．Why
二、完形填空（每空1分，共10 分）
Hello! My name is Dave Brown. My 16 name is Dave. I play sports every day and I am very 17 . I eat a lot of fruit and 18 . For fruit, I like apples, oranges, pears and 19 . For vegetables, I like tomatoes and 20 . I don’t like ice-cream. I like chicken 21 dinner every day. I like playing sports, too. I 22 in the morning. I like Lin Shuhao. Do you 23 him? Yeah, he is a basketball player. I like 24 basketball, too. I play it every afternoon. It is not 25 for me. Healthy food and lots of sports make(使得)me healthy.
( )16. A. first B. last C. family D. English
( )17. A. goodB. healthyC. dear D. boring
( )18. A. saladB. eggs C. vegetables D. rice
( )19. A. iceB. bananas C. cream D. hamburgers
( )20. A. oranges B. apples C. carrots D. chicken
( )21. A. ofB. forC. in D. on
( )22. A. run B. spellC. lose D. find
( )23. A. needB. call C. meet D. know
( )24. A. playing B. to playing C. play D. plays
( )25. A. difficult B. interesting C. great D. relaxing
三、阅读理解（每空2 分，共30分）
A
Tom: Good evening, Mum.
Mum: Good evening, Tom.
Tom: Do we eat chicken for dinner, Mum?
Mum: No, we eat fish and carrots, dear.
Tom: Mum, I don’t like carrots. I like chicken.
Mum: But we need more vegetables, not only meat(肉). It’s not healthy to eat chicken every day.
Tom: OK. But dad likes chicken, too.
Mum: Well, let’s eat chicken and tomatoes tomorrow.
Tom: That sounds great!
( )26. What do they eat for dinner?
A. Chicken. B. Carrots. C. Carrots and fish. D. Tomatoes.
( )27. What does Tom want to eat for dinner?
A. Fish. B. Chicken.C. Carrots. D. Tomatoes.
( )28. What do they need to eat more?
A. Chicken. B. Meat. C. Vegetables. D. Rice.
( )29. Does Tom’s father like chicken?
A. No, he doesn’t. B. Yes, he does.
C. No, he does. D. We don’t know.
( )30. What will they eat tomorrow?
A. Fish and carrots. B. Chicken and carrots.
C. Tomatoes and chicken. D. Fish and chicken.
B
Found:
A black pen is in the library. Is it yours? I am Lucy. E-mail me atlucy556@hotmail.com.
Lost:
I am Anna. I lost my computer game. It is blue. My telephone number is 471-4295. Call me! Thanks!
Lisa,
Is this your dictionary? Your name is on it. I found it in Classroom 6A.
Tom
Found:
I found a ring. It is nice. Please e-mail me atfrank996@gmail.com.
Frank
( ) 31. Lucy found a________ in the library.
A. pen B. computer game C. dictionary D. ring
( ) 32. What color is Anna’s computer game?
A. Black. B. Blue. C. Red. D. Yellow.
( ) 33. What is Anna’s telephone number?
A. It’s 470-4294. B. It’s 471-4295.
C. It’s 471-4394. D. It is 470-4293.
( ) 34. Tom found a dictionary in ________.
A. Classroom 9A B. Classroom 8A
C. Classroom 7A D. Classroom 6A
( ) 35. The dictionary may be (可能是) ________.
A. Lucy’s B. Anna’s C. Lisa’s D. Frank’s
C
Hi！Im Lucy. I am a student in Class 5，Grade 7.I have a big schoolbag. It is blue and red. The price is ￥88.I have a nice pencil box in it. It is ￥10.Its color is white. I bought(买) it in a store. There are four pencils and one pen. Each pencil is ￥1 and the pen is ￥12.My eraser is yellow. The price is ￥2.My ruler is orange and very long. I like them very much. I study very hard.
( ) 36．I am in Grade________.
A．One B．Seven C．Three D．Five
( ) 37．My schoolbag is ________.
A．big B．small C．lost D．black
( ) 37．What color is my pencil box？Its ________.
A．red B．blue C．white D．blue and red
( ) 39．How much are my pencils?
A．￥One. B．￥Two. C．￥Four. D．￥Ten.
( ) 40．The color of my eraser is ________.
A．orange B．black C．yellow D．blue
四、交际运用。从B 栏处找出与A栏相对应的选项（每空1分，共5分）
A B
( ) 41.How are you? A. No, it isn’t.
( ) 42.What color is your hat? B. No, he doesn’t.
( ) 43.Is this your volleyball? C. I like broccoli.
( ) 44.What vegetables do you like? D. It’s yellow.
( ) 45.Does he have eggs for breakfast? E. I’m fine, thanks.
五、句型转换（每空2分，共10分）
46. These are her pens. (改为一般疑问句)
her pens?
47.What can I do for you?(改为同义句)
Can I?
48. I have a ping-pong bat. (改为否定句)
Ia ping-pong bat.
49.This blue shirt is nine dollars.(对划线部分提问)
__________ __________ is this blue shirt?
50.Are those your grandparents?
Yes,________ __________.(作肯定回答)
六、词语运用。（每空1分，共10分）
(A)根据句意及首字母提示完成单词。
51. —Where is the c ? —On the desk.
52. How do you s it？P-E-N.
53. My f subject is P.E.
54. This book is i .We all like it.
55. What f does Sally like? She likes apples.
(B)用所给词的适当形式填空。
56. —Let’s (play) basketball. —Great!
57. I want (buy)a big bag.
58. Sally likes (tomato).
59. My sister is in the (one)picture.
60. Here (be)Alice’s books.
七、完成句子。（每空2分，共10分）
61. 这首歌听起来很好。
The song.
62、你爸爸的生日是什么时候？
is your father’s ？
63、这是我的全家福。
This is my.
64. 你的身份证号码是多少?
Your ID ?
65. 他上学总是迟到。
He always for school.
八、书面表达。（10分）
今天是开学的第一天，老师让每个学生写一篇日记介绍自己，Bill 不太会写，你能根据下面的提示帮帮他吗？（日记开头已写出）
Family nameSmith
Given nameBill
Date of birth12月21日
Age14
Telephone number34562188
Colorblue
Fruitstrawberry
Collection2 tennis rackets,4soccers
Monday Nov.28th,2008 Friday
My name is_____________________________________________________________
________________________________________________________________________ ________
_______________________________________________________________________________
英语参考答案
一、单项选择 1-5. CCDCB 6-10. ADBCB 11-15.ACBAC
二、完形填空 16-20. ABCBC 21-25. BADAA
三、阅读理解 26-30. CBCBC 31-36. ABBDC
36-40. BACCC
四、交际运用
41-45. EDACB
五、句型转换 46、Are these 47、help you 48、don’t have
49、How much 50、they are
六、词语运用
(A)根据句意及首字母提示完成单词。
51、clock 52、spell 53、favorite
54、interesting 55、fruit
(B)用所给词的适当形式填空
56、play 57、to buy 58、tomatoes 59、first 60、are
七、完成句子 61、sounds、good 62、When、birthday
63、family、photo/picture 64、What’s、card
65、is、late
八、书面表达（略）
★ 期末考试总结
★ 期末考试总结的
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