寒假作业高一数学

第一篇：寒假作业高一数学

高一数学寒假作业(一)答案

句容市第三中学高一年级第一学期寒假作业

(一)

编者：吕金勇

2010-02-06 高一数学寒假作业

(一)答案

一、填空题：本大题共14小题.

1.1

2.[2,) 3.{y|y0}

4.-3或6

5.{1，2，3}

6.

217.p

38.f(x)x2

1 9.偶

10.3p2q

11.(0,1)

12.lg5 13.1

214.(,1)(3,)

15.1

16.1

17.3

18.[

32 ，3] 19.②③④

20.9

二、解答题：本大题共6小题，解答应写出必要的文字说明步骤. 1.解：(1)A=,23,.

1a1，a的范围为. ,2,6,0a2(2)由题意，可知：a>0, B=,

2.解：(1)由题意得，集合A=B，而集合B={2，3}，

22故2,3是方程x-ax+a-19=0的根，代入求得a=5.

x2x2, x0,(2)f(x)0, x0,

2x2x, x0.

3.解：(1)由题意得a1a35a1a35得1a2; 所以实数a的值构成的集合为{a|1a2} (2)由题意得得a1a2; 这样得实数a不存在，所以实数a的值构成的集合为

(3)因为ABB 所以AB;所以有a31或a5;

所以实数a的值构成的集合为{a|a4或a5}.

4.解：(1)2-x3x1≥0， 得x1x1≥0，即x<-1或x≥1

即A=(-∞，-1)∪[1，+ ∞)

(2) 由(x-a-1)(2a-x)>0， 得(x-a-1)(x-2a)<0.

∵a<1，∴a+1>2a， ∴B=(2a，a+1).

第 1 页 共 2 页

∵BA， ∴2a≥1或a+1≤-1， 即a≥1212或a≤-2， 而a<1，

12∴ ≤a<1或a≤-2，

故当BA时， 实数a的取值范围是(-∞，-2)∪[，1] .

5.解：(1)由题意得：(x1)(x1)0 即A,11,

由(xa1)(2ax)0, 得(xa1)(x2a)0. ∵a1,∴a12a, ∴B(2a,a1).

(2)∵BA, ∴2a1或a11, 即a而a1,∴1212或a2

a1或a2,

12故当B A时, 实数a的取值范围是(-∞,-2]∪[

,1).

6.解：(1)因为 f(x)是R上的偶函数，所以f(x)f(x) 对任意xR都成立.

即(a1)x2(a21)x1(a1)x2(a21)x1

得2(a21)x0对任意xR都成立

所以有a210，解得a1

又因为f(x)是二次函数 所以a10，即a1

综上可得a1.

(2)由(1)知f(x)2x1，可得f(x)在区间[1,0]上单调递减，在区间[0,2]上单调递增.

所以当x0时，f(x)最小，f(0)1

所以当x2时，f(x)最大，f(2)9

所以f(x)的值域为[1,9].

(3)若f(x)x，则有2x1x，得2xx10.

7

18 0所以方程无解， 所以函数f(x)无不动点.

222第 2 页 共 2 页

第二篇：2016高一数学完美假期寒假作业答案

我们从一出生到耋耄之年，一直就没有离开过数学，或者说我们根本无法离开数学，这一切有点像水之于鱼一样。以下是查字典数学网为大家整理的高一数学完美假期寒假作业答案，希望可以解决您所遇到的相关问题，加油，查字典数学网一直陪伴您。

一、选择题(每小题4分，共16分)1.(2014济南高一检测)若圆(x-3)2+(y+5)2=r2上有且仅有两个点到直线4x-3y-2=0的距离为1，则半径长r的取值范围是()A.(4，6)B.[4，6)C.(4，6]D.[4，6]【解析】选A.圆心(3，-5)到直线的距离为d= =5，由图形知42.(2013广东高考)垂直于直线y=x+1且与圆x2+y2=1相切于第一象限的直线方程是()A.x+y- =0B.x+y+1=0C.x+y-1=0D.x+y+ =0【解析】选A.由题意知直线方程可设为x+y-c=0(c0)，则圆心到直线的距离等于半径1，即 =1，c= ，故所求方程为x+y- =0.3.若曲线x2+y2+2x-6y+1=0上相异两点P，Q关于直线kx+2y-4=0对称，则k的值为()A.1B.-1C. D.2【解析】选D.由条件知直线kx+2y-4=0是线段PQ的中垂线，所以直线过圆心(-1，3)，所以k=2.4.(2014天津高一检测)由直线y=x+1上的一点向(x-3)2+y2=1引切线，则切线长的最小值为()A.1B.2 C. D.3【解题指南】切线长的平方等于直线上的点到圆心的距离的平方减去半径的平方，所以当直线上的点到圆心的距离最小时，切线长最小.【解析】选C.设P(x0，y0)为直线y=x+1上一点，圆心C(3，0)到P点的距离为d，切线长为l，则l= ，当d最小时，l最小，当PC垂直于直线y=x+1时，d最小，此时d=2 ，所以lmin= = .二、填空题(每小题5分，共10分)5.(2014山东高考)圆心在直线x-2y=0上的圆C与y轴的正半轴相切，圆C截x轴所得的弦的长为2 ，则圆C的标准方程为________.【解题指南】本题考查了直线与圆的位置关系，可利用圆心到直线的距离、弦长一半、半径构成直角三角形求解.【解析】设圆心 ，半径为a.由勾股定理得 + =a2，解得a=2.所以圆心为 ，半径为2，所以圆C的标准方程为 + =4.答案： + =4.6.已知圆C：x2+y2=1，点A(-2，0)及点B(2，a)，从A点观察B点，要使视线不被圆C挡住，则a的取值范围是____________.【解析】由题意可得TAC=30，BH=AHtan 30= .所以，a的取值范围是 .答案：

三、解答题(每小题12分，共24分)7.(2013江苏高考)如图，在平面直角坐标系xOy中，点A(0，3)，直线l：y=2x-4.设圆C的半径为1，圆心在l上.(1)若圆心C也在直线y=x-1上，过点A作圆C的切线，求切线的方程.(2)若圆C上存在点M，使MA=2MO，求圆心C的横坐标a的取值范围.【解题指南】(1)先利用题设中的条件确定圆心坐标，再利用直线与圆相切的几何条件找出等量关系，求出直线的斜率.(2)利用MA=2MO确定点M的轨迹方程，再利用题设中条件分析出两圆的位置关系，求出a的取值范围.【解析】(1)由题设知，圆心C是直线y=2x-4和y=x-1的交点，解得点C(3，2)，于是切线的斜率必存在.设过A(0，3)的圆C的切线方程为y=kx+3，由题意得， =1，解得k=0或- ，故所求切线方程为y=3或3x+4y-12=0.(2)因为圆心C在直线y=2x-4上，设C点坐标为(a，2a-4)，所以圆C的方程为(x-a)2+[y-2(a-2)]2=1.设点M(x，y)，因为MA=2MO，所以 =2 ，化简得x2+y2+2y-3=0，即x2+(y+1)2=4，所以点M在以D(0，-1)为圆心，2为半径的圆上.由题意知，点M(x，y)在圆C上，所以圆C与圆D有公共点，则2-12+1，即13.由5a2-12a+80，得a由5a2-12a0，得0 .所以圆心C的横坐标a的取值范围为 .8.已知圆的圆心在x轴上，圆心横坐标为整数，半径为3.圆与直线4x+3y-1=0相切.(1)求圆的方程.(2)过点P(2，3)的直线l交圆于A，B两点，且|AB|=2 .求直线l的方程.【解析】(1)设圆心为M(m，0)，mZ，因为圆与直线4x+3y-1=0相切，所以 =3，即|4m-1|=15，又因为mZ，所以m=4.所以圆的方程为(x-4)2+y2=9.(2)①当斜率k不存在时，直线为x=2，此时A(2， )，B(2，- )，|AB|=2 ，满足条件.②当斜率k存在时，设直线为y-3=k(x-2)即kx-y+3-2k=0，设圆心(4，0)到直线l的距离为d，所以d= =2.所以d= =2，解得k=- ，所以直线方程为5x+12y-46=0.综上，直线方程为x=2或5x+12y-46=0.【变式训练】(2014大连高一检测)设半径为5的圆C满足条件：①截y轴所得弦长为6.②圆心在第一象限，并且到直线l：x+2y=0的距离为 .(1)求这个圆的方程.(2)求经过P(-1，0)与圆C相切的直线方程.【解析】(1)由题设圆心C(a，b)(a0，b0)，半径r=5，因为截y轴弦长为6，所以a2+9=25，因为a0，所以a=4.由圆心C到直线l：x+2y=0的距离为 ，所以d= = ，因为b0，所以b=1，所以圆的方程为(x-4)2+(y-1)2=25.(2)①斜率存在时，设切线方程y=k(x+1)，由圆心C到直线y=k(x+1)的距离 =5.所以k=- ，所以切线方程：12x+5y+12=0.②斜率不存在时，方程x=-1，也满足题意，由①②可知切线方程为12x+5y+12=0或x=-1.最后，希望小编整理的高一数学完美假期寒假作业答案对您有所帮助，祝同学们学习进步。

第三篇：高一物理寒假作业：高一寒假物理测试二

5.中央电视台体育频道每周都有棋类节目，如棋类授课和评析，他们的棋盘是竖直放置的，棋盘上均匀地分布有磁石，每个棋子都是一个小磁体，磁石能吸引磁体，下列关于棋盘和棋子的说法中正确的是

A.小棋子共受四个力的作用

B.棋盘面应选取足够光滑的材料

C.只要磁力足够大，即使棋盘光滑，棋子也能被吸在棋盘上静止

D.棋子被吸在棋盘上静止时，棋盘对棋子的作用力大于棋子的重力学科王

【答案】A

6.光滑斜面的长度为L，一物体自斜面顶端由静止开始匀加速滑至底端， 经历的时间为t，则不正确的是：( ACD ) A.物体运动全过程中的平均速度是L/t

B.物体在t/2时的即时速度是2L/t

C.物体运动到斜面中点时瞬时速度是 L/t

D.物体从顶点运动到斜面中点所需的时间是 t/2

7.将一个力F分解成两个分力F1和F2，关于力F分解的下列说法中正确的是

A.F1和F2的共同作用效果与F单独作用效果相同

B.物体同时受F

1、F2和F三个力作用

C.F

1、F2都可能大于F

D.不论如何分解，F

1、F2的大小不可能都等于F的大小

【答案】AC

以上就是高一物理寒假作业：高一寒假物理测试二的所有内容，希望对大家有所帮助!

第四篇：高一寒假历史作业

——高一历史备课组 1. 阅读一本与必修一政治史或必修二经济史相关的书籍。书目自选，也可从推荐书目中选择。

2. 文科方向(含高文科班、其它体系准备选文科方向同学)： 学完《王后雄学案.教材完全解读.高中历史必修1》。 要求：

(1)共27课，一天学完两课。

(2)内容包括五个方面(考点知识精析、考法能力拓展、考场失分防范、考试真题探源、对点训练设计)。凡资料必看必划，凡练习必做必对答案。 (3)开学后上交检查。 参考书目：

1.[英]汤因比：《历史研究》。

2.李峰：《西周的灭亡:中国早期国家的地理和政治危机》。 3.王子今：《秦汉边疆与民族问题》。

4.阎步克：《波峰与波谷:秦汉魏晋南北朝的政治文明》。 5.吴宗国：《中国古代官僚政治制度研究》。 6.茅海建：《天朝的崩溃:鸦片战争再研究》。

7.王明柯：《羌在汉藏之间：川西羌族的历史人类学研究》。 8.刘志伟：《在国家与社会之间：明清广东户籍赋税制度研究》。

第五篇：高一寒假作业检测

2011—2012学年第二学期高一年级第一次教学质量检测英语试卷

第一节：单项填空(10分)

1.______ two exams to worry about, I have to work really hard this weekend. A. With B. Besides C. As for D. Because of 2.I thought her nice and honest ______ I met her. A. first time B. for the first time C. the first time D. by the first time 3.It’s believed that if a book is ______ it will surely ______ the reader. A. interested; interest B. interesting; be interested C. interesting; interest D. interested; be interesting 4.Don’t be angry. Please ______ . A. take down B. die down C. slow down D. calm down 5.—Shall we go to the art exhibition right away? --______ . A. It’s your opinion B. I don’t mind C. It’s all up to you D. That’s your decision 6.______ your savings so fast, or you’ll end up as a beggar. A. Quit to spend B. To quit to spend C. Quit spending D. Quitting spending 7.It’s already 9 o’clock and Mother ______ step in any moment. A. probably B. is possible C. is likely D. is probable to 8.I like this English songs and they ______ many times on the radio. A. taught B. have taught C. are taught D. have been taught 9.You didn’t let me drive, if we ______ in turn, you ______ so tired. A. drove; didn’t get B. drove; wouldn’t get C. were driving; wouldn’t get D. had driven; would not have got 10.—Where will you start your work after graduation? --Mm, it’s not been decided yet. I ______ continue my study for a higher degree. A. need B. must C. would D. might 第二节：完形填空(30分)

“You can learn English more efficiently(高效率地)if you spend 20 minutes a day for a week than if you spend two hours a day.” This is what a teacher usually says when he tells his students ___1___ allot(分配)their time. But is it true? Suppose you have a bucket ___2___ a small hole in its bottom. Now you are asked ___3___ the bucket with the water in a basin. If you are too little a boy to lift the basin ___4___ water, you are sure ___5___ use of a bowl or something alike. You will dip out the water from the basin with the bowl and ___6___ it into the bucket. You may dip from the basin again and again. However, you will soon ___7___ that as soon as you pour a bowl of water into the bucket, most of the water leaks out through the ___8___, so you are ___9___ able to fill up the bucket this way. On the contrary, if you are an adult, you will undoubtedly ___10___ the basin and pour the whole basin of water into the bucket at once. Now, the bucket is full. Though the water in it is also leaking out, you at least have filled up the bucket with water. If you want

英语试卷(第 1 页) 共 6 页

___11___ the bucket full, you only ___12___ add a bowl of water now and then. The same is true of English learning. Let us ___13___ a simple example. If you learn 10 new words today, you are most likely to remember nine___14___. But if you try to learn 30 words today, though you may forget ___15___ more than one word, you may still be able to remember 11 or 12 words tomorrow. Day in and day ___16___, you will be able to remember a large number of words, ___17___ you may forget some of them. In short, the more time you spend at a time, the more you will learn on the whole. Of course, ___18___ time you spend each time must be ___19___ the limit that you do not exhaust(使筋疲力尽) ___20___. 1. A. what to B. when to C. to D. how to 2. A. with B. on C. about D. in 3. A. filling up B. to pour C. to fill up D. pouring 4. A. of full B. filling with C. with D. full of 5. A. making B. to make C. to D. of 6. A. throw B. pour C. dip D. catch 7. A. see B. watch C. look D. find 8. A. hole B. bowl C. bucket D. basin 9. A. easily B. slowly C. never D. fast 10.A. put B. rise C. place D. lift 11.A. to remain B. remaining C. keeping D. to keep 12.A. can B. have to C. must D. may 13.A. take B. to take C. took D. taking 14.A. yesterday B. tomorrow C. ago D. before 15.A. bit B. little C. fairly D. far 16.A. away B. out C. ago D. before 17.A. but B. though C. however D. in spite 18.A. the amount of B. the more C. the number of D. a great deal of 19.A. in B. within C. among D. inside 20.A. yourself B. oneself C. you D. the learner 第三节：阅读理解(40分)

A

thMother Teresa was born in Yugoslavia, on August 27, 1910. She attended the government school near her home until she was eighteen. At that time doctors and nurses from Yugoslavia were working in India, and they often wrote to the school about their work. She decided to join them one day. When she finished school, she went first to Britain. Then a year later she went to India, where she began to train to be a teacher. After training, she was sent to Calcutta, where she taught geography at a school and soon after became headmistress(女校长). However, although she loved teaching, in 1946, Mother Teresa left the school and went to work in the poor parts of Calcutta. Later she trained to become a nurse in Patna, and then began her work helping the poor and comforting the dying in the streets of the city. Slowly, others came to help her, and her work spread to other parts of India. Mother Teresa is now a well-known person. Many photos of her have been taken as she travels the world to open new schools and hospitals in poor countries. In 1979, she was given the Nobel Peace Prize for the lifetime of love and service she has given to the poor.

英语试卷(第 2 页) 共 6 页

1. Where did Mother Teresa receive her education? A. In Yugoslavia and India. B. In Yugoslavia and Britain. C. In Britain and India. D. In Yugoslavia, Britain and India. 2. What first inspired Mother Teresa to work in India? A. Her visits to the poor parts of Calcutta. B. Her visit to Britain after she left school. C. The medical worker’s letters to her school. D. The work of the nurses in the city of Patna. 3. Mother Teresa gave up teaching because she wanted ______. A. to look after the poor B. to travel to poor countries C. to build hospitals for the poor D. to train nurses to care for the poor 4. Mother Teresa is now famous because she has ______. A. saved many poor people in India B. helped to bring about world peace C. helped to make India a more peaceful place D. taken care of many poor people in the world

B Addiction(沉溺)to a TV screen is similar to drug or alcohol addiction: people almost never believe they are addicted. Answer these questions about your television habits: a. Do you come home from school or work and immediately turn on the TV set? b. Do you watch more than ten hours of TV a week? c. Can you concentrate for only fifteen to twenty minutes before you need to take a break? d. Do you feel closer to actors on the screen than to real people in your own life? e. Do you feel lazy and sleepy when you watch TV programs? f. Do you believe that the products that you see on commercials can make you happier? g. Are you dissatisfied with your life because it isn’t exciting? If you answered “yes” to these questions, you probably have a TV addiction! The “cure” is to throw away the set, or to take some scissors and cut the cord. 5. Which of the following most probably has the meaning of the word “addiction”? A. Dependence on; the state of being unable to stop doing something. B. Dissatisfaction with. C. Impatience with. D. Attracted to. 6. All below are “signs” of TV addiction except ______. A. a set that you have on for about one hour a day B. the need to turn on the set as soon as you come home C. a feeling of closeness to TV actors D. a feeling of dissatisfaction with your life 7. The best “cute”of addiction to a TV screen is ______. A. to throw away the TV set B. to cut the thin rope or string C. to cut the wire for joining electrical apparatus D. not to watch TV 8. The best topic for this passage is ______. A. Not to Watch TV Again

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B. Throw Away Your TV set C. Television Addiction, Its Signs and the Cute of it D. Watch TV Programs As Much As You Like

C After 13 years’efforts, China has finally taken a big step toward the WTO after it signed an agreement with the US on Monday. Called a “win-win” deal, the agreement is to benefit China’s economic reforms(经济改革)and US job market. China still needs to negotiate(协商) with other trade partners like the EU(European Union) to make ensure its entry, but the deal is a major green light. 9. This news mainly tells that ______. A. China is having talks with the US on its entry into the WTO B. China has successfully been accepted into the WTO C. an agreement between China and the US has been reached on China’s entry to the WTO D. the great importance of China’s entry into the WTO 10.What does a “win-win”deal mean? A. China has won a double victory. B. Both sides have won in the end. C. An unexpected gain for either side. D. A total gain without any loss for either side. 11.What does that last sentence of this news suggest? A. China still has a long and difficult way to go before its entry into the WTO. B. The future road to China’s entry into the WTO would be much smoother. C. China’s final entry into the WTO is out of question> D. The future talks to solve the problem still takes time.

D Cross was what people call a mystery(神秘的)man. We had known him for over five years, even since he became a member of our club. But he had a way of keeping his personal life to himself in all but unimportant facts. We knew his address, though he did not ever invite us to his home, and his age too, but only small matters of this kind. It appeared that he did not have to work for a living as we did. He had once mentioned a piece of property left by someone on which he managed to live comfortably. He was not, however, a man of luxurious(奢侈的)habits: he was not especially well-dressed and he did not even have a car. At the age of forty-five he was still single, since marriage was not a subject(话题)he ever discussed. We had no means of finding out whether he regretted the lack of a wife. Cross disappeared suddenly from our circle shortly after we came to learn the first really meaningful facts about our mystery man. From reports that appeared in the newspapers, together with photographs of a man who was, without any doubt, our Mr. Cross, it was discovered that he was a most skilled housebreaker, operating mainly in the London area; and that he had practised this for many years, until he was caught and sent to prison. 12.Cross’personal life ______. A. didn’t exist B. wasn’t important C. was kept secret D. wasn’t easy 13.It seemed that Cross ______. A. had different jobs B. had lost his job

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C. lived only for his work D. had enough money without working 14.Cross was ______. A. a thief B. an escaped prisoner C. a newsman D. a photographer 15.Cross worked ______. A. only in London B. mostly in London C. near London D. away from London 第四节：单词拼写(10分)

1. To write a good essay you must first to o______ your ideas. 2. How amazing it is! We can find no word to d______ the beauty of the scene. 3. The teacher wants the children to feel c______ about asking questions when they don’t understand. 4. They d______ the room with flowers and balloons. 5. I think the warm c______ of this city is good for your health. 6. Shanghai became the most ______(吸引人的) city in China. 7. We reached our ______(目的地), tired and hungry. 8. In this way we can better ______(应用) theory to practice. 9. We can’t ______(竞争) with that supermarket on price. 10. As soon as we arrived on the island we were eager to ______(探险)。 第五节：书面表达(20分)

你在2011年暑假游览了厦门。用英语写了一篇题目为“Xiamen-Garden on the Sea”的报道，介绍厦门，寄给《21世纪英语报—中学生版》，希望能在“学生习作”栏中刊登。内容要求如下：

1. 厦门是一座美丽的城市，以“海上花园”闻名于世。 2. 厦门花草、树木遍地，享有“绿岛”之美名。 3. 厦门鼓浪屿(Gulangyu Isle)是我国重点风景区之一。最佳景点日光岩(the Sun-lit Rock)，古树环绕。登上岩顶，可以观赏到厦门全景(the whole view)。

4. 在游览风景的过程中，一路上可以逛商店，买到当地的特产(local products)。 5. 近十年来，厦门变化很大。正在发展成为具有现代工业的经济特区(a special economic zone)。

Xiamen-Garden on the Sea ___________________________________________________________________________ _______________________________________________________________________________

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2011-2012学年第二学期高一年级第一次教学质量检测英语试卷

答题卷

班级： 姓名： 分数：

第一节：单项选择 第二节：完形填空 第三节：阅读理解 第四节：单词拼写 1. ______ 1. ______ 1. ______ 1.o______ 2. ______ 2. ______ 2. ______ 2.d______ 3. ______ 3. ______ 3. ______ 3.c______ 4. ______ 4. ______ 4. ______ 4.d______ 5. ______ 5. ______ 5. ______ 5.c______ 6. ______ 6. ______ 6. ______ 6. ______ 7. ______ 7. ______ 7. ______ 7. ______ 8. ______ 8. ______ 8. ______ 8. ______ 9. ______ 9. ______ 9. ______ 9. ______ 10.______ 10.______ 10.______ 10.______ 11.______ 11.______ 12.______ 12.______ 13.______ 13.______ 14.______ 14.______ 15.______ 15.______ 16.______ 17.______ 18.______ 19.______ 20.______

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