必修一测试卷1

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高中数学必修一阶段性测试试卷(共八套)含参考答案

R

2x 1 1, x R ，集合 B x x a 1, x R ． x 1
A B ，求实数 a 的取值范围．
16．（本题满分 10 分）设 A 是由一些实数构成的集合，若 a∈A，则（1）若 3∈A，求 A；（2）证明：若 a∈A，则 1
1
14．（本题满分 10 分）已知集合 A＝{x|x2﹣2x﹣8＜0}，B＝{x|x2＋2x﹣3＞0}，C＝{x|x2﹣3ax＋2a2＜0}．（1）求集合 A，B；（2）若 C⊆(A∩B)，求实数 a 的取值范围．
15．（本题满分 10 分）已知集合 A x | （1）求集合 A ；（2）若 B
8．已知全集 U＝{1，2，3，4，5，6，7，8}，在 U 中任取四个元素组成的集合记为 A＝{a1， a2，a3，a4}，余下的四个元素组成的集合记为∁UA={b1，b2，b3，b4}，若 a1＋a2＋a3＋a4 ＜b1＋b2＋b3＋b4，则集合 A 的取法共有种． 2 9．已知函数 f(x)＝x ＋nx＋m，若{x|f(x)＝0}＝{x|f(f(x))＝0}≠∅，则 m＋n 的取值范围是． 10．设全集 U＝{(x，y)|y＝x＋1，x，y∈R}，M＝{(x，y)|
y 3 1 }，则∁UM＝ x2
．
11．请在图中用阴影部分表示下面一个集合：(A∩B)∪(A∩C)∩ (∁uB∪∁uC)． 3 1 12．设集合 M＝x m≤x≤m＋4 ，N＝ xn－3≤x≤n ，且 M，N 都

是集合{0|0≤x≤1}的子集，如果把 b－a 叫作集合{x|a≤x≤b}的 “长度”，那么集合 M∩N 的“长度”的最小值是．二、解答题（本大题共 4 小题，共计 40 分．请在答题纸指定区域内作答，解答应写出文字．．．．．．．说明，证明过程或演算步骤.） 13．（本题满分 10 分）已知集合 A＝{x|﹣2≤x≤7}，B={x|m＋1≤x≤2m﹣1}，若 A∪B＝A，求实数 m 的取值范围．

高一数学必修一测试题

高一数学必修一测试题一、选择题（每题4分，共20分）1. 已知函数 f(x) = 2x + 3，求 f(4) 的值是多少？A) 7 B) 11 C) 10 D) 92. 两个数的和是48，它们的差是14，求这两个数分别是多少？A) 31和17 B) 29和19 C) 27和21 D) 26和223. 已知直角三角形两直角边的长度分别为3和4，求斜边的长度。

A) 6 B) 7 C) 5 D) 104. 若 a + b = 10，且 a^2 + b^2 = 52，求 a 和 b 的值。

A) 2和8 B) 3和7 C) 4和6 D) 5和55. 某商店原售价150元的商品打8折出售，现售价是多少？A) 12元 B) 15元 C) 120元 D) 105元二、简答题（每题10分，共30分）1. 已知 a:b = 3:5，b:c = 4:7，求 a:b:c 的比值。

2. 某数与84的比是2:5，这个数与70的比是多少？3. 已知两个角的和为180度，其中一个角的补角是另一个角的3倍，求这两个角的度数。

三、解答题（每题30分，共50分）1. 已知直线 l1 过点 A(1, 2)，斜率为1/3。

求直线 l1 的解析式，并画出其图像。

2. 某地去年的人口是20万，今年增长了5%，求今年的人口数。

3. 若 a:b = 2:3，且 a:b:c = 4:6:9，求 c 的值。

四、证明题（每题20分，共50分）1. 已知三角形 ABC，其中 AB = AC，过点 B 作 AC 的垂线，交于点 D。

证明：BD = CD。

2. 若 a + b = b + c，证明 a = c。

答案与解析：一、选择题1. A) 7解析：将 x = 4 代入 f(x) = 2x + 3，得到 f(4) = 2(4) + 3 = 8 + 3 = 11。

2. B) 29和19解析：设其中一个数为 x，则另一个数为 48 - x，根据题意可列出方程 x - (48 - x) = 14，解得 x = 29，那么另一个数为 48 - 29 = 19。

人教版高一英语必修一Unit1测试题(含答案)

Unit 1（一）一.单项填空1．--- Mary’s got crazy and has been sent to the mental hospital. Did you tell her boss about that?--- Yes, but I _____ her husband first.A. should have toldB. shouldn’t have toldC. must have toldD. needn’t have told 2．There was ______ time _____ Chinese used foreign oil.A. a; whenB. a; whileC. /; whenD. /; while3．It was because of bad weather __________ the football match had to be put off.A. soB. so thatC. whyD. that4.---Look! The telephone is broken. Someone damaged it ________ purpose.---That may be right. But perhaps it was broken _________ accident.A. on; byB. by; byC. on; onD. by; on5. What great trouble we had ___________ where his house was.A. in findingB. to findC. findD. found6.Some students have trouble _____ grammar while others have difficulty______ new words.A. in; rememberB. for; to rememberC. on; rememberingD. with; remembering7. I cannot spend ________ money on the car which is ________ expensive for me.A. too much; much tooB. far too; too muchC. much too; too muchD. too many; much too8. catch the first bus, he got up very early this morning.A. In order toB. In order thatC. So as toD. So that9. There are altogether 6 people in the room, the baby________.A. includeB. includingC. includedD. to include10. The manager of the factory told us that very little ______ was made of the waste material in the past.A. costB. valueC. useD. matter11. There is no ______ swimming-pool in this school and the students often go to swim ______.A. indoors; outdoorsB. indoor; outdoorC. indoor; outdoorsD. indoor; indoors12. It is the first time that I _______ this kind of moon cake.A. enjoyedB. have enjoyedC. enjoyD. enjoying13. When was it _____ your mother showed you around the West Lake ？A. untilB. ifC. whichD. that14. In the reading room, we found her _______ at a desk, with her attention ______ on a book.A. sitting; fixingB. to sit; fixedC. seating; fixingD. seated; fixed15. I’m glad you’ve come; I am _______ telephoning you.A. at the point ofB. to the point ofC. on the point ofD. in the point of二：完型You Did More Than Carry My BooksMark was waking home from school one day when he noticed the boy ahead of him had dropped all of the books he was carrying, along with a baseball bat and several other things. Mark 16 down and helped the boy pick up these articles. _17 they were going the same way, he helped to carry some of them for him. As they walked Mark _18 the boy’s name was Bill, that he 19 computer games, baseball and history, that he was having a lot of _20 with his other subjects and that he had just broken 21 with his girlfriend.They arrived at Bill’s home first and Mark was22 in for a Coke and to watch some television. The afternoon passed _23 with a few laughs and some shared small talk, and then Mark went home. They _24 to see each other around school, had lunch together once or twice, and then both ended up from the same high school. Just three weeks before 25, Bill asked Mark if they 26talk.Bill _27 him of the day years ago when they had first met. “Do you 28 wonder why I was carrying so many things home that day ?” asked Bill. “You see, I _29 out my locker because I didn’t want to leave a mess (脏乱) 30 anyone else. I had panned to run away and I was going home to 31my things. But after we spent some time together32and laughing, I realized that_33 I had done that, I would have34 a new friend and missed all the fun we would have together.So you see, Mark, when you picked up my books that day you did a lot more. You 35 __my life.”16. A. fell B. sat C. lay D. knelt17. A. Although B. Since C. After D. until18. A. discovered B. realized C. said D. decided19. A. played B. loved C. tried D. made20. A. questions B. ideas C. trouble D. doubt21. A. up B. out C. off D. away22. A. called B. helped C. invited D. allowed23. A. peacefully B. willingly C. freely D. pleasantly24. A. continued B. agreed C. forced D. offered25. A. graduation B. movement C. separation D. vacation26. A. would B. should C. could D. must27. A. demanded B. reminded C. removed D. asked28. A. ever B. usually C. even D. never29. A. checked B. took C. cleared D. put20. A. over B. into C. with D. for31. A. find B. pick C. pack D. hold32. A. talking B. playing C. reading D. watching33. A. before B. if C. while D. as34. A. forgotten B. passed C. left D. lost35. A. helped B. recovered C. improved D. changed三.单词拼写36.Our workmate has been in danger. We’re all c___________ about his health.37.It made her u________ that she didn’t do well in thefinal exam.38.It is dishonest to c______ your friend andthey won’t believe what you say later.39.As teenagers, you shouldn’t get into the h_____________ of smoking.40.Could you give me some a_________ on how to learn English?41.There is a lot of air in the l__________ snow. It can keep you warm.42.The s_____________ in Iraq is becoming from bad to worse.43.She is so c____________ about English that she cannot live without it.44. The old man s__________ a bad backache after the accident happened.45. Because of the computer, now we can c____________ with other people on the Internet.参考答案：一.单项填空1-5 AADAA 6-10 DAACC 11-15 BBDDC二、完形填空二、16. 选D。

高一数学必修一测试题

高一数学必修一测试题本试卷分第Ⅰ卷（选择题）和第Ⅱ卷（非选择题）两部分.共150分，考试时间90分钟.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. 在每小题给出的四个选项中，只有一项是符合题目要求的.1．已知全集(}.7,5,3,1{},6,4,2{},7.6,5,4,3,2,1{ A B A U 则===B C U ）等于（）A ．{2，4，6}B ．{1，3，5}C ．{2，4，5}D ．{2，5}2．已知集合}01|{2=-=x x A ，则下列式子表示正确的有（） ①A ∈1 ②A ∈-}1{ ③A ⊆φ ④A ⊆-}1,1{A ．1个B ．2个C ．3个D ．4个3．若:f A B →能构成映射，下列说法正确的有（）（1）A 中的任一元素在B 中必须有像且唯一；（2）A 中的多个元素可以在B 中有相同的像；（3）B 中的多个元素可以在A 中有相同的原像；（4）像的集合就是集合B .A 、1个B 、2个C 、3个D 、4个4、如果函数2()2(1)2f x x a x =+-+在区间(],4-∞上单调递减，那么实数a 的取值范围是（）A 、3a -≤B 、3a -≥C 、a ≤5D 、a ≥5 5、下列各组函数是同一函数的是（）①()f x =()g x =()f x x =与()g x = ③0()f x x =与01()g x x=；④2()21f x x x =--与2()21g t t t =--。

A 、①② B 、①③ C 、③④ D 、①④6．根据表格中的数据，可以断定方程02=--x e x 的一个根所在的区间是（）A ．（－1，0）B ．（0，1）C ．（1，2）D ．（2，3）7．若=-=-33)2lg()2lg(,lg lg yx a y x 则（）A ．a 3B ．a 23C ．aD ．2a 8、若定义运算b a ba b aa b <⎧⊕=⎨≥⎩，则函数()212log log f x x x =⊕的值域是（） A [)0,+∞ B (]0,1 C [)1,+∞ D R9．函数]1,0[在x a y =上的最大值与最小值的和为3，则=a（）A ．21B ．2C ．4D ．41 10. 下列函数中，在()0,2上为增函数的是（）A 、12log (1)y x =+ B 、2log y =C 、21log y x = D 、2log (45)y x x =-+ 11．下表显示出函数值y 随自变量x 变化的一组数据，判断它最可能的函数模型是（）A ．一次函数模型B ．二次函数模型C ．指数函数模型D ．对数函数模型12、下列所给4个图象中，与所给3件事吻合最好的顺序为（）（1）我离开家不久，发现自己把作业本忘在家里了，于是立刻返回家里取了作业本再上学；（2）我骑着车一路以常速行驶，只是在途中遇到一次交通堵塞，耽搁了一些时间；（3）我出发后，心情轻松，缓缓行进，后来为了赶时间开始加速。

高中英语必修一测试题

高中英语必修一测试题一、单选题（每题2分，共20分）1.——Is your brother interested in history?——No, ______________.A. he doesn’tB. he is notC. he notD. he isn’t2.__________ she is a teacher, she often tells her children stories.A. BecauseB. ButC. WhenD. If——Sorry, they___________. They have to do their homework first.A. can’tB. canC. mustn’tD. must4.——I’m going to play basketball after school. Would you like to join me?——___________,I have too much homework to do.A. I’m glad to.B. That’s right.C. I’d love to.D. I’m sorry.5.We need to improve our English. We’d better ___________ English tapes every day.A. listens toB. listen toC. listening toD. to listen to6. ——Why do you like the color red?——Because red can ___________ me feel excited.A. haveB. makeC. letD. ask7. The little girl is ___________ young ___________ take care of herselfA. too; toB. enough; toC. too; not toD. enough; not to8. Many shopping malls are decorated with colorful lights___________ Christmas.A. forB. atC. onD. in9. He is good at playing basketball, ___________ he can’t play the piano.A. andB. butC. becauseD. so10.—— What are ___________ strawberries?——They are very sweet.A. theseB. thisC. theyD. their二、完形填空（每题1分，共20分）One day, I was walking down the street when I saw an old man selling bottles of water. It was very hot that day _11_ people didn’t want to go out. But this old man stood there _12_ a big smile on his face. It looked as if he was _13_ a good day even though it was very hot.I stopped and bought a bottle of water. Then I said to him, “_14_ you have so many customers today?”“Oh, yes,” he said. “It’s too hot to drink anything else. Everybody likes to drink _15_.”I looked at his small bottle of water. His bottle was much _16_ than those in the shops. But he was still selling __17__ lot of them. “Are you thirsty?” I asked him.“No,” he smiled. “I always _18_ a bottle of water. I think if I have to sell them, _19_ should drink them. Water is very good.”I felt very _20_ aft er hearing the old man’s words. _21_ I needed to do was to give what I wanted to sell. It didn’t matter _22_ the bottle was very small. I realized that if I did my job well, people would buy it. So I smiled at the old man and walked on down the street, _23_ more determined (有决心的) to be a good salesman (销售员).11. A. so B. but C. if D. because12. A. in B. on C. with D. without13. A. hoping B. remembering C. having D. choosing14. A. Do B. Are C. Have D. Did15. A. one B. tea C. coffee D. water16. A. bigger B. smaller C. cheaper D. cleaner17. A. the B. a C. few D. any18. A. drink B. sell C. carry D. buy19. A. all B. both C. few D. any20. A. happy B. sad C. sorry D. worried21. A. Something B. Anything C. Everything D. Nothing22. A. whatever B. whomever C. wherever D. whichever23. A. much B. a little C. even 更三、阅读理解（每题2分，共30分）AOne day a man got a beautiful very expensive car as a present. It was a beautiful sunny Saturday morning, so he decided to go for a drive in the country. The man though t, “I can go fast and everybody will see me in this beautiful car.” He was very proud of his new car.When he was driving in the country, suddenly a car drove out onto the road in front of him. The man became angry. He shouted(喊)and shouted, and sounded his horn(喇叭). He was going so fast that he lost control of his car.That was when he began to think. “If I die in this accident, people will say, ‘That man was such an angry driver!’” The man wanted to live, so he stopped his car just in time.24. Why was the man proud of his new car?A. Because the car was very expensive.B. Because the car could go very fast.C. Because the car was beautiful.D. Because the car was both beautiful and expensive.25. Did the man drive his car carefully in the country?A. Yes, he did.B. No, he didn’t.C. We don’t know.D. Yes, he did at first, but he didn’t later.BMany famous people don’t drive a car. They have a driver(司机) drive them around. Why don’t they drive? One person who didn’t drive a car was Albert Einstein, the greatest scientist of the 20th century.Once Albert Einstein wanted to learn how to drive a car. He started taking driving lessons(开车课)in New York. After some time he said to his teacher, “I am a scientist and mathematics,” he wrote in a letter. “And w hen people drive in a car, they use most of their brains(大脑)trying not to hit anything. So they have no more brain power(大脑能力)to think about other things. I have only one brain. I cannot dividemyself(分开)into two parts. So I can drive or think about science. I cannot do both things at once. I cannot drive a car.”Another great person who didn’t drive was Thomas Edison. He invented the light bulb and many other things. When people asked him why he didn’t drive, he said, “My mind(脑海)is full(满)of ideas. I can not waste my time with such things.”26. Why didn’t Albert Einstein drive a car?A. Because he couldn’t learn to.B. Because he didn’t have a car.C. Because he didn’t want to.D. Because he didn’t have time.27. Did Albert Einstein take driving lessons in New York?A. Yes, he did.B. No, he didn’t. He learned to drive somewhere else.C. We don’t know.D. Nobody gave him any driving lessons.28. What did Thomas Edison think of driving a car?A. He thought driving a car was dangerous.B. He thought driving a car was difficult.C. He thought driving a car was a waste of his time.D. He thought driving a car was not fun.四、写作（20分）请你根据以下提示，以“My Best Friend”为题写一篇80个字左右的短文。

高中化学必修一第一章测试卷答案已完

高中化学必修一第一张测试卷可能用到的相对原子质量：H:1 Mg:24 C:12 O:16 S:32 Cl:35.5 Na:23 Zn:65 Cu:64 N:14 P:31一、选择题(本大题包括15小题，1-10每小题2分，11-15每小题3分，共35分)。

1．下列有关实验操作错误的是A.用药匙取用粉末状固体B. 用胶头滴管滴加少量液体C.给盛有2/3体积液体的试管加热D.倾倒液体时试剂瓶标签向手心2．用四氯化碳萃取碘水中的碘，下列说法中不正确．．．的是：A．实验使用的主要仪器是分液漏斗B．碘在四氯化碳中的溶解度比在水中的溶解度大C．碘的四氯化碳溶液呈紫红色D．分液时，水从分液漏斗下口流出，碘的四氯化碳溶液从漏斗上口倒出(1)现象：静置后，溶液分层，上层为水溶液，无色;下层为四氯化碳的碘溶液，呈紫红色。

(2)原理：水与四氯化碳对比，碘更易溶于四氯化碳 (3)步骤：①用量筒量取10mL碘的饱和水溶液，倒入分液漏斗，然后再注入4mL四氯化碳，盖好玻璃塞。

②用右手压住分液漏斗口部，左手握住活塞部分，把分液漏斗倒转过来振荡，使两种液体充分接触，振荡后打开活塞，是漏斗内气体放出。

③将分液漏斗放在铁架台上，静置。

④待液体分层后，将分液漏斗颈上的玻璃塞打开，或使塞上的凹槽（或小孔）对准漏斗上的小孔，再将分液漏斗下面的活塞拧开，使下层液体慢慢沿烧杯壁而流下。

3．下列仪器常用于物质分离的是①②③④⑤⑥A．①③⑤B．②③⑤C．②④⑤ D．①②⑥4．下列关于“摩尔”的说法正确的是：A．摩尔是一个物理量 B．摩尔是表示物质的量C．摩尔是物质的量的单位 D．摩尔是表示物质数量的单位5．在粗盐提纯的实验中，蒸发时正确．．的操作是：A．把浑浊的液体倒入蒸发皿内加热 B．开始析出晶体后用玻璃棒搅拌C．待水分完全蒸干后停止加热D．蒸发皿中出现大量固体时即停止加热6．所含分子数相同的一组物质是：A． 1g H2和1g N2 B． 1mol H2O和1g H2OC．3.2g O2和2.24L的空气（标准状况下）D． 44gCO2和6.02×1022个O27．下列叙述正确的是：A．1 mol H2SO4的物质的量是98g/mol B．H2SO4的摩尔质量为98C．0.5mol的氧D．6.02×1022个H2SO4分子的质量为9.8gA．物质的量的单位是mol，1molH2SO4的物质的量是1mol，故A错误；B．摩尔质量的单位是g/mol，H2SO4的摩尔质量为98g/mol，故B错误；C．氧指代不明，说不清是氧原子，氧分子还是氧离子，故C错误；D．6.02×1022个H2SO4分子的物质的量是0.1mol，H2SO4的摩尔质量为98g/mol，质量为0.1mol×98g/mol=9.8，故D正确．8．下列叙述正确的是A. 1 mol CO2的质量为44g/molB. CO2的摩尔质量为44gC. CO2的摩尔质量等于CO2的相对分子质量D. N A个CO2的质量与CO2的相对分子质量在数值上相同9．容量瓶上需标有以下六项中的①温度②浓度③容量④压强⑤刻度线⑥酸式或碱式A．①③⑤ B．③⑤⑥ C．①②④D．②④⑥10．配制一定物质的量浓度的KOH溶液时，造成最终浓度偏低的原因可能是：A．容量瓶事先没有烘干 B．定容时观察液面俯视C．定容时观察液面仰视 D．定容后，摇匀时有少量液体流出11．下列说法正确的是A．1 mol H2O的质量是18 g/molB．CH4的摩尔质量为16gC．3.01×1023个SO2分子的质量是32 gD．标准状况下，1 mol任何物质体积均为22.4 L12．将40克NaOH溶于水中，配制成1L溶液，则该溶液的物质的量浓度为：A．0.1mol/L B．0.5mol/L C． 4mol/L D． 1mol/L13．已知1.505×1023个X气体分子的质量为8 g，则X气体的摩尔质量是A．16 g B．32 g C．64 g/mol D．32 g /mol14．能把K2SO4、Ba(NO3)2、Na2CO3三种无色溶液鉴别出来的一种试剂是A.KNO3溶液B.稀硫酸C.NaOH 溶液D.Na2SO4溶液15．欲配制100 mL 1.0 mol/L Na2SO4溶液，正确的方法是①将14.2 g Na2SO4溶于100 mL水中②将32.2 g Na2SO4·10H2O溶于少量水中，再用水稀释至100 mL③将20 mL5.0 mol/L Na2SO4溶液用水稀释至100 mLA．①② B．②③ C．①③ D．①②③二、填空题(本题包括6小题，共57分。

人教版高一英语必修一Unit1测试题及答案

人教版高一英语必修一Unit1测试题及答案1.--- Mary has gone crazy and has been sent to a mental hospital。

Did you inform her boss about it?Yes。

but I should have informed her husband first.A。

should have told2.There was a time when Chinese used foreign oil.B。

a。

while3.It was because of bad weather that the football match had to be postponed.D。

that4.--- Look。

XXX.That may be right。

But perhaps it was XXX.B。

by。

by5.What great trouble we had finding where his house was.C。

find6.Some XXX.D。

with。

remembering7.I cannot spend too much money on the car which is too expensive for me.1.C。

much too。

too muchThe amount of sugar in this recipe is much too high。

We need to ce it to a more reasonable level as too much sugar can be harmful to our health.2.A。

In order toIn order to catch the first bus。

he got up very early this morning。

He didn't want to be late for his appointment.3.B。

高中物理必修一第一章《运动的描述》测试卷(含答案解析)(1)

一、选择题1．如图所示，足球比赛中，某运动员将向左冲来的足球向右踢回，踢球前后足球的速度大小分别为2m/s 和5m/s ，脚对球的作用时间为0.5s ，此过程中足球的加速度为（）A ．26m/s ，方向向右B ．26m/s ，方向向左C ．214m/s ，方向向右D ．214m/s ，方向向左2．一辆汽车沿直线从甲地开往乙地，前一半位移内的平均速度为30km/h ，后一半位移内的平均速度为60km/h ，这辆车全程的平均速度是（）A ．40km/hB ．45km/hC ．50km/hD ．55km/h 3．为了监督司机是否遵守限速规定，交管部门在公路上安装了固定测速仪。

如图所示，汽车向放置在道路中间的测速仪匀速驶来，测速仪向汽车发出两次短促的超声波信号。

第一次发出信号到测速仪接收到经汽车反射回来的信号用时0.5s ，第二次发出信号到测速仪接收到汽车反射回来的信号用时0.3s ，若发出两次信号的时间间隔是1.1s ，超声波的速度是340m/s ，则（）A ．汽车接收到第一次信号时，距测速仪170mB ．汽车接收到第二次信号时，距测速仪102mC ．汽车两次接收到信号的时间间隔为1sD ．汽车的速度是30m/s4．关于匀变速直线运动，下列说法正确的是（）A ．匀减速直线运动中，加速度可能减小B ．匀加速直线运动中，加速度可能增大C ．匀加速直线运动中，加速度的方向一定和速度方向相同D ．匀减速直线运动中，加速度的方向一定和速度方向相同5．一质点做匀加速直线运动，位移为x 1时，速度的变化为△v ，紧接着位移为x 2时，速度的变化仍为Δv 。

则质点的加速度为（）A ．21211(())v x x ∆-B ．21211()()v x x ∆+ C ．221()v x x ∆- D ．221()v x x ∆+ 6．下面关于质点的说法正确的是（）A．研究和观察日食现象时可把太阳看作质点B．研究地球的公转时可把地球看作质点C．研究地球的自转时可把地球看作质点D．原子很小，因此把原子看作质点7．一个物体的加速度为-5m/s2，则下列说法中正确的是（）A．该物体速度的变化量是-5m/sB．该物体的速度每秒内一定增加了5m/sC．该物体的速度每秒内一定减少了5m/sD．该物体的加速度-5m/s2一定比2m/s2的加速度大8．从高出地面6m的位置竖直向上抛出一个小球，如图所示。

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郑州一中高一必修一模拟试题班级姓名_____________一、选择题：在每小题给出的四个选项中，只有一项是符合题目要求的，请把正确答案的代号填在题后的括号内（每小题5分，共60分） 1．已知集合2{|1,}M y y x x R ==-∈，52{|}N x y x ==，则有( )A.M N M =B.M N =∅C.M N N =D.M N R = 2．对于函数的这些性质：（1）奇函数；(2)偶函数；（3）增函数；（4）减函数，函数()()322x x f x x x R -=+-∈具有的性质是（）A.（1）（4）B.（1）（3）C.(2)（4）D.（3）3．若231log a y x -=在（0，+∞）内为减函数，且x y a -=为增函数，则a 的取值范围是（）.A. 1)B. 1(0,)3C. (0,D. 4．已知实数,a b 满足等式23log log a b =，给出下列五个关系式：（1）1a b >>；（2）1b a >>；（3）1a b <<；（4）1b a <<；（5）a b =，其中可能成立的关系式的个数是（）A. 2B. 3C. 4D. 5 5．设偶函数()f x 在[0，π]上递减，下列三个数a =12(lg ),(),()10023f b f c f ππ==-的关系为（） A. a ＞b ＞c B. b ＞a ＞cC. b ＞c ＞aD. c ＞a ＞b6．若定义运算ba ba b aa b<⎧⊕=⎨≥⎩，则函数()212log log f x x x =⊕的值域是（） A [)0,+∞ B (]0,1 C [)1,+∞ D R则最佳体现这些数据关系的函数模型是（）A. 2log u t =B. 22tu =- C. 212t u -= D. 22u t =-8．某商场对顾客实行购物优惠活动，规定一次购物付款总额：(1)如果不超过200元，则不给予优惠；(2)如果超过200元但不超过500元，则按标价给予9折优惠；(3)如果超过500元，其500元内的按第(2)条给予优惠，超过500元的部分给予7折优惠.某人两次去购物，分别付款168元和423元，假设他一次性购买上述两次同样的商品，则应付款是（）A.413.7元B.513.7元C.546.6元D.548.7元 9．设a 、b 、c 都是正数，且346a b c ==，则以下正确的是（）. A.111c a b=+ B.221c a b=+ C.122c a b=+ D.212c a b=+ 10．方程2ln xx必有一个根所在的区间是（） A ．（1，2） B ．(2，3) C ．(e ，3) D ．(e,+∞) 11．已知0＜a ＜1，b ＞1，且ab ＞1，则下列不等式中成立的是（）. A. 11log log log a ba b b b << B. 11log log log ba ab b b << C. 11log log log a a b b b b <<D. 11log log log b a a b b b<<12．设定义在R 上的函数()f x 在[]1,2上是减函数，且对任意的x R ∈都有()()11f x f x -=+，若0.323a f ⎛⎫⎛⎫= ⎪ ⎪ ⎪⎝⎭⎝⎭，0.345b f ⎛⎫⎛⎫= ⎪ ⎪ ⎪⎝⎭⎝⎭，0.4425c f ⎛⎫⎛⎫=- ⎪ ⎪ ⎪⎝⎭⎝⎭，则（）A. a b c <<B. a c b <<C. c a b <<D.c b a << 二、填空题：（每小题5分，共20分） 13．已知35()x f x a -=，且(lg )100f a =，则a 的值为__________________ 14．下列四种说法：⑴ 函数(0,1)x y a a a =>≠与函数log (0,1)x a y a a a =>≠的定义域相同； ⑵ 函数33x y x y ==与的值域相同；⑶ 函数2(12)112212x x xy y x +=+=-⋅与均是奇函数；⑷ 函数2(1)21(0,)y x y x =-=-+∞与在上都是增函数. 其中正确说法的序号是__________________15．已知函数()log (1)(0,1)a f x x a a =+>≠在区间[1，7]上的最大值比最小值大12，则a 的值为__________________16．某进货单价为40元的商品按50元一个售出,能卖出500个,已知该商品每个涨价一元,其销售数量就减少10个,为了赚得最大利润,每个售价应定为__________________元.数学必修1测试答题卷班级姓名13.________________ 14. __________________15. __________________ 16. ___________________三、解答题：解答应写出文字说明、证明过程或演算步骤(共70分).17.（本题满分10分）设{}|2A x x a =-≤≤≠∅，{}|23,B y y x x A ==+∈，{}2|,C z z x x A ==∈，且C B ⊆，求实数a 的取值范围.18. （本题满分12分）已知函数()log (1)(0,1)x a f x a a a =->≠.⑴ 求()f x 的定义域；⑵ 当a ＞1时，判断函数()f x 的单调性，并证明你的结论.19. （本题满分12分）已知定义在R 上的函数()y f x =是偶函数，且0x ≥时，()()2ln 22f x x x =-+(1)求()f x 解析式；(2)写出()f x 的单调递增区间.20. （本题满分12分）已知2()310f x x x k =-+（1）当2k =时，求()f x 的值域;（2）若方程()0f x =有两个同号且不相等的实根，求k 的取值范围.21. （本题满分12分）某种新产品投放市场的100天中，前40天价格呈直线上升，而(1)写出价格()f x 关于时间x 的函数关系式；（x 表示投放市场的第x ()x N ∈天） (2)销售量()g x 与时间x 的函数关系：()()11091100,33g x x x x N =-+≤≤∈，则该产品投放市场第几天销售额最高？最高为多少千元？22.（本题满分12分）设124()lg()3x x af x a R++=∈，若当(,1]x∈-∞时，()f x有意义，求a的取值范围.答案1 .C 2. B 3. D 4. B 5. B 6.A 7.C 8.C 9. B 10.A 11. A 12.B 13. 1310100a a -==或 14. (1)(3) 15.a = 16或a =11616.70 17. 解：{|2}A x x a =-≤≤2x a -≤≤，12323x a -≤+≤+，{|123}B y y a ∴=-≤≤+当20a -≤≤时，24a z ≤≤，2{|4}C z a z ∴=≤≤，C B ⊆，423a ∴≤+，12a ∴≥，无解当02a <≤时，24a z ≤≤，{|04}C z z ∴=≤≤，C B ⊆，423a ∴≤+，12a ∴≥，122a ∴≤≤ 当2a >时，20z a ≤≤，2{|0}C z z a ∴=≤≤，C B ⊆，223a a ∴≤+，13a ∴-≤≤ 23a ∴<≤，综上，132a ≤≤。

18. 解：⑴ 由10x a ->，得1x a <。

当a ＞1时，解不等式1x a <，得0x <；当0＜a ＜1时，解不等式1x a <，得0x >。

∴ 当a ＞1时，()f x 的定义域为{|0}x x <；当0＜a ＜1时，()f x 的定义域为{|0}x x >。

⑵ 当a ＞1时，()f x 在（-∞，0）上是减函数，证明如下：设12,x x 是（-∞，0）内的任意两个数，且12x x <，则1()f x -2()f x =11221log (1)log (1)log 1x x x a a a x a a a a ----=-，∵ a ＞1，120x x <<， ∴ 1201x x a a <<<， ∴ 12110x x a a ->->。

从而1122111,log 011x x a x x a a a a-->>--，即1()f x ＞2()f x . ∴当a ＞1时，()f x 在（-∞，0）上递减。

19. 解：（1）0x <时，()()2ln 22f x x x =++；（2）(1,0)-和()1,+∞ 20.(1)19[,)3-+∞ (2)25(0,)3k ∈21. 解：(1)1221404()152411002x x x N f x x x x N ⎧+≤≤∈⎪⎪=⎨⎪-+≤≤∈⎪⎩且且(2)设第x 天销售额为y 千元当140x x N ≤≤∈且时，11109(22)()433y x x =+⨯-+21(219592)12x x =-++所以当1011x =或时，max 808.5y =千元当41100x x N ≤≤∈且时，2111091(52)()(21311336)2336y x x x x =-+⨯-+=-+ 函数在[41，100]上是减函数，所以，当41x =时，max 714y =千元于是，第10或11天时，销售额最高为808.5千元。

答：该产品投放市场第10或11天销售额最高，最高为808.5千元22. 解：根据题意，有12403x x a++>，(,1]x ∈-∞，即11()()42x x a ⎡⎤>-+⎢⎥⎣⎦，(,1]x ∈-∞，∵ 11()()42x x --与在(,1]-∞上都是增函数，∴ 11[()()]42x x -+在(,1]-∞上也是增函数，∴ 它在1x =时取最大值为113()424-+=-，即113()()424x x ⎡⎤-+≤-⎢⎥⎣⎦，∴ 34a >-。