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高一数学第一章测试题（卷）
班级 姓名 学号 成绩
一、选择：
1、下列说法正确的个数是（ ）
①全国的主要河流组成一个集合
② 1， ， ，2.5， 是一个有5个元素的集合
③集合 表示的是空集
④集合 ， 与集合 ， 是同一集合
⑤某班教室里的书籍组成一个有限集合
A．2 B．1 C．5 D．4
2、以全体非负实数为元素的集合的一个正确表示是（ ）
A． ≥ B． ＞0 C． D．
3、已知集合M= ≤ （ ）
A． B． C． D．
4、集合M= 的子集个数是（ ）
A．32 B．31 C．16 D．15
5、给出下列命题，正确的是（ ）
A．设全集U=R，A= 则CUA=
B．设全集U=Z，S=N，A=N+，则CSA=0
C．U= ， A= 则CUA=
D．U= ，A= 则CUA=
6、已知集合M= 则M∩P=（ ）
A．x＝3,y＝－1 B．(3,－1) C． ,－1 D． , －1
7、设集合M＝ ，则下列说法正确的是（ ）
A．M＝ B．M＝ C．－1∈M D．
8、已知不等式 ＞a (a>0) 的解集是 ＜－2或x＞2 ,
则不等式 ≤a－3的解集为 ( )
A． ＜－1或x＞1 B．R C． D． ＜x＜1
9、下列命题中，是简单命题的是（ ）
A．60能被4和5整除 B．平行四边形不是梯形
C．-2≥-1 D．3是一个大于0的整数
10、用数学符号表达“x不大于y的实际含义是 ( )
A．x≠y B．x＜y且x＝y C．x＜y D．x＜y或x＝y
11、设A、B是两个集合，则下列是真命题的是（ ）
A．若A B，则A∩B=B
B．若A B，则A∪B=B
C．若A∩B，则A B
D．若A∪B=B 则B A
12、已知P：(x－1) (x＋3)≥0， ≤0下列说法正确的是（ ）
A．P是q的既非充分又非必要条件
B．P是q的充要条件
C．P是q的充分非必要条件
二、填空
13、用 ， ， ， 填空
0.5 Q N R ,2
－1,2 2,－1
14、用阴影部分表示M∩N∩CUS
UUUU
15、不等式4x2－4x＋1>0的解集是
16、给出下列不等式：
① ＞0 ② ＜0 ③ ＜0 ④ ＜0
⑤ ＜0 其中与不等式 ＜0有相同解集的不等式的序号是
三、解答题
17、设∪= x∈N 0＜x≤10 ，A= 1、2、4、5、9 ，B= 4、6、7、8、10
C= 3、5、7 ，求A∩B，A∪B，A∩B∩C，A∪B∪C，（CuA）∪（CuB）
18、解不等式
⑴ x＋2 ＞ ⑵ ≤0
19、解不等式－4＜－ x2－x－ ＜－2
20、已知A= x x－1 ≥a ，B= x －6＜x＜4 ，且A∩B= ，求实数a的取值范围。
21、若方程ax2＋2x＋1=0至少有一个负的实根，求a的取值范围。
22、设方程x2＋px－12＝0的解集为A，方程x2＋qx＋r＝0的解集为B，已知A≠B，
A∪B＝ －3、4 ，A∩B＝ －3 ，试求实数，p、q、r的值。
这个还不错啊！··看看适合不？呵呵！~~ 怎么全是残缺不全的东西呀？是不是把“WORD”格式的试卷“复制”以后又“粘贴”上来的呀？里面的数学符号全不见了。
由已知条件知道π+α在第3或第4象限，那么α必然在第1或第2象限，且α=2πk+π/6 或者α=2πk+5π/6， 其中k为任意整数。从而
sinα=1/2，
cosα=+(根号3)/2或-(根号3)/2，
tanα=sinα/cosα=正或负的1除以(根号3) sin[π+α]=-sinα=-1/2
sinα=1/2
(sinα)^2+(cosα)^2=1
(cosα)^2=3/4
cosα=±√3/2
tanα=sinα/cosα=±√3/3
【 #高一# 导语】有时候，洒脱一点，眼前便柳暗花明;宽容一点，心中便海阔天空。身边的世界往往比我们想象的要睿智与宽容。心存感激，永不放弃!即使是在最猛烈的风雨中，我们也要有抬起头，直面前方的勇气。因为请相信：任何一次苦难的经历，只要不是毁灭，就是财富! 高一频道为你整理了《高一年级英语上册月考测试题》希望对你有帮助! 一、单项填空 (共15小题，计15分)
1. Let Harry play with your toys as well, Clare, you must learn to_________.
A. support B. care C. spare D. share
2. It was at 5 o’clock ______ the visitors finally arrived at Pudong International Airport.
A. when B. that C. before D. after
3. Iraq has _________ too many wars since 1990, making his people ______ a lot.
A. got through; pay B. looked through; face
C. gone through; suffer D. passed through; destroy
4. Pack up the items you’d like ______ along and leave behind those you dislike ______ with you on your journey.
A. to take; to take B. taking; taking C. to take; taking D. taking; to take
5. ----- How many times have you been to China?
----- In fact, it is the first time I _________ here.
A. was B. am C. had been D. have been
6. There was ______ time _____ Chinese used foreign oil.
A. a; when B. a; while C. /; when D. /; while
7．I cannot spend ________ money on the car which is ________ expensive for me.
A. too much; much too B. far too; too much
C. much too; too much D. too many; much too
8．In order to make progress in English, ________.
A．it is necessary to buy a dictionary
B．a dictionary is necessary
C．a dictionary needs to be bought
D．I will buy a dictionary
9.－Have you finished your experiment report, Jane?
－Oh, my God. I’ve _______ forgotten all about that.
A. strongly B. extremely C. entirely D. freely
10. The mother asked her son ____________.
A. what did he do the day before B. where did he find his lost wallet
C. What time he got up that morning D. that if he had finished his homework
11.----- Look! The telephone is broken. Someone damaged it _____ purpose.
-----That may be right. But perhaps it was broken _______ accident.
A. on; by B. by ;by C. on; on D. by; on
12. His wife told him __________ put it on her hand.
A. don’t B. not to C. didn’t D. to not
13. The recent rainy weather which we haven’t met with only _________ our difficulties.
A. added to B. came to C. got close to D. added up to
14. The flight to London was delayed ___________ the bad weather, which made my life worried.
A. because of B. because C. since D. instead of
15．—I’m Albert Smith.
—________. I’m Robert.
A．It’s my pleasure B．What a pleasure
C．I’m very pleased D．Pleased to meet you
二、完形填空 (共小20题，计20分)
About once a month I have to go to Degford for my work. One day I went into a hotel to have something to 16 . The waiter 17 my coat and put it in a small room.
About an hour later I was 18 to go. The waiter 19 me my coat. 20 something fell out of the pocket onto the floor. It was a small white box. Then I took a good look at the 21 .“Oh, you’ve brought someone 22 coat.”I said to the waiter. “It looks very much like mine, 23 it is quite new, and this isn’t my box, either.”
“Oh, then I 24 someone has taken your coat and left this.”said the waiter. “This kind of thing 25 sometimes.”
I opened the box. There was a beautiful gold ring in it. So I went 26 to the police station.
“ 27 lost a ring?”I asked.
“Yes.”said a policeman,“A young man who came in this morning lost a ring, he lost it in London.”
He 28 the young man. A few minutes later, the man arrived.
“Yes, this is my ring.”he said,“How can I 29 you, sir? You see, I paid a lot of money for this ring and 30 I lost it on the train!”
After I told him the 31 of the coat, he said, “You haven’t been on the train, I haven’t been in the hotel, so how did my ring 32 in the coat?”
“Did 33 sit or stand next to you on the train?” asked the policeman.
“Yes.”said the young man.“But I don’t remember his face.”
“You may remember this coat.”said the policeman,“Was it like this one?”
“Yes, it was.”said the young man,“But my friend here 34 the thief.”
The policeman laughed.“ 35 ”He said.“The thief on the train stole your ring, and like our friend here, he went into the hotel to get some food. Only he didn’t take the right coat away with him.”
16.A．do B．buy C．eat D．deal with
17.A．took B．found C．liked D．watched
18.A．anxious B．glad C．invited D．ready
19.A．showed B．returned C．brought D．dressed
20.A．Luckily B．Suddenly C．Obviously D．At once
21.A．ring B．box C．coat D．pocket
22.A．lost B．missed C．new D．else’s
23.A．but B．and C．instead D．for
24. A．know B．wonder C．think D．find
25. A．appears B．happens C．meets D．changes
26. A．around B．about C．above D．along
27. A．Who B．Has she C．Has anyone D．Have you
28. A．wrote to B．remembered C．telephoned D．knew
29. A．return B．thank C．find D．help
30. A．then B．so C．yet D．however
31. A．model B．price C．story D．size
32. A．enter B．put C．set D．get
33. A．no one B．someone C．everyone D．anyone
34. A．discovered B．isn’t C．has caught D．doesn’t know
35. A．I’m afraid not B．Yes C．No D．Surely
三、阅读理解 （4篇短文，选出正确选项，每题2分，共30分）
I’m sure you know the song “Happy Birthday”. But do you know who wrote the song and for whom it was written?
The retired professor, Archibald A. Hill in Lucasville, USA could tell us the story. Ninety-seven years ago, two of Mr. Archibald Hill’s aunts, Miss Patty Hill and Miss Mildred Hill were asked to write some songs for a book called “Song Storied for the Sunday Morning”. Miss Patty Hill and Miss Mildred Hill were both kindergarten teachers then. They loved children very much and wrote many beautiful songs for the book. One of them was the famous “Good Morning to You.” The song said, “Good morning to you, good morning to you, 高考资源网 children, good morning to all.” This song was very popular at that time among kindergarten children. But not many grown-ups knew it. A few years later little Archibald was born. As his aunt, Miss Patty Hill sang the song “Happy Birthday” to the melody（曲调）of “Good Morning to you” to her little nephew（侄子）. She sang the song like this: Happy birthday to you! Happy birthday to you! Happy birthday, 高考资源网 Archie! Happy birthday to you!
Miss Patty Hill and her sister had never expected that this song would become so popular, but it really did. People all over the world like the song because of its simplicity in tune（曲调简单）and friendliness in words.
36. Professor Archibald A. Hill was Miss Mildred Hill’s __________.
A. son B. student C. brother D. nephew
37. Why did Miss Hills wrote songs?
A. Because they are musicians.
B. Because they love children.
C. Because they were asked to write for a book.
D. Because their nephew asked them to do so.
38. The sentence “it really did” means __________.
A. The song really became popular
B. Their wish would really come true
C. People all over the world like to listen to the song
D. The song was not expected to become popular.
When you cut your skin, you bleed(流血). If a person loses a lot of blood, he will become ill and may die. Blood is very important. People have always known that. At one time, some people even drank blood to make them strong!
When doctors understand how blood goes around inside the body, they try ways of giving blood to people who need it. They take blood from the healthy people and give it to people who need it. This is called "blood transfusion". The blood goes from the arm of the healthy person into the arm of the sick person.
But there are two problems. First, it does not always work. Sometimes people die when they have blood transfusion. Later, doctors find that we do not all have the same kind of blood. There are four groups—O, A, B and AB. We all have blood of one of these groups. They also find that they can give any kind of blood to people of group AB. But they find that they must give A-group blood to A-group people and B-group blood to B-group people. I have O-group blood and the doctor told me that I could give blood to anyone else safely.
There is another problem. To give blood of the right kind, doctors have to find a person of the right blood group. Often they can not find a person in time. If they have a way to keep the blood until someone needs it, they can always have the right kind of blood. At first they find they can keep it in bottles for fifteen to twenty days. They do this by making it very cold. Then they find how to keep it longer. In the end they find a way of keeping blood for a very long time.
We call a place where we keep money a "bank". We call a place where we keep blood a "blood bank". One day, when you grow up, you may decide to give blood to a "blood bank". In this way you may stop someone from dying. Or perhaps one day you may become ill. You may need blood. The "blood bank" will give it to you.
39. From the passage, we learn that sometimes people die when they have blood transfusions because they .
A. are unhealthy people B. have lost a lot of blood
C. are not given the right kind of blood D. are AB-group people
40. Which of the following is true?
A. Doctors can give any kind of blood to the writer.
B. The writer can give blood to B-group people.
C. The writer has never had a blood transfusion.
D. The writer has the same kind of blood as his father.
41. From the last paragraph (段落) of the passage, we learn that .
A. the writer thinks it's good to give blood to a "blood bank"
B. we may become ill if we give blood to a "blood bank"
C. many people died because they lost a lot of blood
D. blood is more important than money
42. The writer doesn't talk about in the passage.
A. how important blood is to us
B. the four groups of blood
C. where the blood bank is
D. what "blood transfusion" is
About ten men in every hundred suffer from color blindness in some way. Women are luckier; only about one in two hundred is affected in this matter. Perhaps, after all, it is safer to be driven by a woman!
There are different forms of color blindness. In some cases a man may not be able to see deep red. He may think that red, orange and yellow are all shadows of green. Sometimes a person cannot tell the difference between blue and green. In rare cases an unlucky man may see everything in shades of green － a strange world indeed.
Color blindness in human beings is a strange thing to explain. In a single eye there are millions of very small things called “cones”. These help us to see in a bright light and to tell difference between colors. There are also millions of “rods”, but these are used for seeing when it is near dark. They show us shape but no color.
Some insects have favorite colors. Mosquitoes prefer blue to yellow. A red light will not attract insects, but a blue lamp will. In a similar way human beings also have favorite colors. Yet we are lucky. With the aid of the cones in our eyes we can see many beautiful colors by day, and with the aid of the rods we can see shapes at night. One day we may even learn more about the invisible colors around us.
43. The passage is mainly about _____________.
A. color and its surprising effects. B. women being luckier than men
C. danger caused by color blindness D. color blindness
44. According to the passage, with the help of the “cones”, we can_______________.
A. tell different shapes B. see in a weak light
C. kill mosquitoes D. tell orange from yellow
45. Why do some people say it is safer to be driven by women?
A. Women are more careful.
B. There are fewer color-blind women
C. Women are fonder of driving than men.
D. Women are weaker but quicker in thinking.
46. Which of the statements about the color- blind is true?
A. Not all of them have the same problem in recognizing color.
B. None of them can see deep red.
C. None of them can tell the difference between blue and green.
D. All of them see everything in shades of green
Dr. Martinez put on a false smile as she entered Janet Eslin’s hospital room. She couldn’t let Janet see that she was worried. Yet she had been searching for the cause of Janet’s illness and hadn’t found a clue (线索) .
“How are you feeling today?” Dr. Martinez asked her patient. Janet replied that she felt about the same----terribly uncomfortable.
The doctor tried to get Janet’s mind off her health by talking about Janet’s vacation at Lake Winnow. But Dr. Martinez couldn’t keep her own mind on the conversation. She kept wondering what could be wrong with her patient.
Suddenly Janet’s words interrupted Dr. Martinez’s thoughts: “… the vacation was really perfect, except for the food. The last meal I ate was especially awful(糟糕的).”
Dr. Martinez quickly snapped back into the conversation, “Janet, when did you eat that meal?” Janet said that it had been the day before yesterday.
“I think we’ve discovered your problem,” Dr. Martinez said as she left. Several hours later, Dr. Martinez was back with the answer. “Janet, the food you ate made you ill. You’re suffering from food poisoning. Now that we know what’s wrong, we can take care of your problem.”
47. What made Janet sick?
A. an insect bite B. bad food
C. bad water D. cold weather
48. What is the main idea of the story?
A. A doctor discovers what made Janet sick.
B. Dr. Martinez becomes ill.
C. Janet goes on vacation.
D. A doctor talks to Janet in the hospital.
49. Where did Janet go on her vacation?
A. She took a trip to the city.
B. She went camping in the mountains.
C. She spent a week at the seashore.
D. She took a trip to a lake.
50. What does the underlined word “interrupted” mean?
A. talked about
B. told over again
C. broke in while someone was talking
D. never stopped listening to the other person
四、单词拼写 (共10小题，计10分)
根据下列句子及所给单词的首字母或中文意思，在答题卷上按题号写出各单词的完全形式,注意单词形式的变化 (每空限填一词)。
51. I don’t want to set down a s________ of facts in a diary as most people do.
52. I am only able to look at nature through dirty c________ hanging before very dusty windows.
53. So why has English changed over time? A__________ all languages change and develop when cultures meet and communicate with each other.
54. These new setters enriched the English language and especially its v_______________.
55. The t___________ and lightning seemed to have moved away, but the rain continued to pour.
56. I’m very g__________ to all those who gave me a hand when I was in trouble.
57. The boy told me to walk the dog o_________ for some time every day.
58. Police are trying to discover the i________________ of a baby found by the side of a road.
59. The man wore the dark glasses hoping no one would r__________ him.
60. The climate is g_____________ becoming drier and warmer.
五、短文改错 (找出多余的, 缺少的,错误的单词或短语，并改正) (计10分)
高考资源网 Alice,
I have just got some good news to tell to you. I win a national prize for painting last week. My father was so pleasing that he suggested I go to England for a holiday. I’d like to staying there for half a month, visiting place of interest or practicing my English as well. We’ve been writing to each for nearly one and a half year now. I have often dreamed of talk face to face with you. I imagine you’ll be at vacation yourself by that time. Perhaps we could go out to do some sightseeing together.
Best wishes,
Lily
六、书面表达 (共1题，计15分)
假定你是李华，看到班上有部分同学在完成作业时，不自己独立完成而是抄袭他人的作业，针对这种现象，请你以My opinion on copying others’ homework为题谈谈你自己的看法。
主 要原 因 个 人看 法
作业多，偏难 抄袭不对，违反校规
对功课不感兴趣，懒惰 要诚实，勤奋学习
完成任务，使老师高兴 有困难可请教同学和老师
注意：1. 短文必须包括所有内容要点，可适当发挥；
2. 短文标题与开头已为你写好，不计入总词数：
3.词数：80左右。
My opinion on copying others’ homework
It is known to us all that some students copy others’ homework. __________
学好数学要多做练习、上课认真听讲、不会的题要问老师、做作业要当做考试来看待、不要在心理上抵触数学、平时多抽出一些时间来练习数学，只有自己多研究才能学会数学。下面小编为大家带来高一数学月考试题及答案，希望对您有所帮助!
高一数学月考试题及答案
一、选择题(本题共有12小题，每小题5分,共60;只有一项是符合题目要求的)1、已知集合A?{y|;A、{1,2}B、{y|y?1或2}C、{(x,;x?0或??y?1?x?1?;y?2}D、{y|y?1}2.设f?x??3x?;?3.若函数f(x)???(1x;4),?1?x?
大庆一中高一年级2015-2016学年度上学期第二次月考
数学试题2015.11.26
一、选择题(本题共有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、已知集合A?{y|y?x2?1,x?R},B?{y|y?x?1,x?R}，则A?B?()。
A、{1,2}B、{y|y?1或2}C、{(x,y)|??
x?0或??y?1?x?1?
y?2}D、{y|y?1}2.设f?x??3x?3x?8，用二分法求方程3x?3x?8?0在x??1,2?内近似解的过程中得f?1??0,f?1.5??0,f?1.25??0，则方程的根落在区间()A.(1,1.25)B.(1.25,1.5)C.(1.5,2)D.不能确定
?3.若函数f(x)???(1x
4),?1?x?0,
则f(log43)=()
??
高一数学基础知识达标检测试题（A ）
本试卷分第I 卷（选择题），第II 卷（非选择题）两部分，第I 卷60分，第II 卷90分，共150分。考试时间为120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、设集合A={x|-5≤x
A 、{x|-5≤x
C 、{x|x
2、已知集合A ⊆{1，2，3}且A 中至少有2个元素，满足条件的集合A 共有（ ）
A 、3个
C 、5个
0.3 2 B 、4个 D 、8个 3、三个数2,0.3,log 0.32的大小顺序是（ ）
A 、0.3
C 、log 0.32
4、设函数f(x)=220.3 B 、0.3
B 、关于y 轴对称 D 、无对称性 A 、关于原点对称 C 、点于直线x=2对称
5、已知不间断的函数f(x)在区间[a,b]上单调，且f(a)·f(b)
A 、至少有一实根
C 、没有实根 B 、至多有一实根 D 、必有唯一的实根
6、下列判断正确的是（ ）
A. 棱柱只能有两个面可以互相平行 B. 底面是正方形的直四棱柱是正棱柱
C. 底面是正六边形的棱台是正六棱台 D. 底面是正方形的四棱锥是正四棱锥
7、已知一个长方体长宽高的比是4：2：1，体积为64，则长方体外接球的表面积是（ ）
A 、336π B 、336 C 、84π D 、84
8、a ，b ，c 为三条不重合的直线，α，β，γ为三个不重合的平面，给出的下列命题中，正确的个数是（ ）
①a ∥c ，b ∥c ⇒a ∥b ；②a ∥γ，b ∥γ⇒a ∥b
③a ∥α，a ∥β⇒α∥β；④α∥γ， β∥γ⇒α∥β
A 、1 B 、2 C 、3 D 、4
9、在平行六面体AC 1中，E 、F 、G 分别是棱A 1A ，AB ，AD 的中点，则三棱锥E-AFG 的体积与平行六面体的体积之比为（ ）
1 12
1C 、 48A 、
2 1 241D 、 64B 、10、已知函数f (x ) =x +x +1，x ∈⎢-1, ⎥的最值情况( ) 2⎡⎣3⎤⎦
31919，有最大值 B.有最小值1，有最大值 444
3C. 有最大值，但无最小值 D.无最大值，也无最小值 4A. 有最小值
⎧log 2(x -1) x …2⎪11、设函数f (x ) ==⎨⎛1⎫x 若f (x 0) >1，则x 0的取值范围是（ ） -1 x
A (-∞,0)(2, +∞) B （0,2） C (-∞, -1)(3, +∞) D （－1,3）
212、函数f (x ) =a x +log a (2x +1)(a >0, a ≠1) 在[0,2]上的最大值与最小值之和为a ，
则a 的值为（ ） A.
2 11 B.5 C. D.4 54
第II 卷（非选择题，共90分）
二、填空题：本大题共4小题，每小题4分，共16分。
13、一个正三棱柱的三视图如右图所示，
因此三棱柱的全面积为_____cm. 2
cm 1-m 是奇函数，则m =______ 2x +1
115、已知函数f(x)定义域为(,8], 则函数f(log2x) 定义域为______ 214、已知函数f (x ) =
16、已知函数f (x ) 是定义在R 上的奇函数，给出下列命题：①f (0)=0；②若f (x ) 在[0, +∞)上有最小值-1，则f (x ) 在(-∞,0]上有最大值1；③若f (x ) 在[1, +∞)上为增函数，则f (x ) 在(-∞, -1]上为减函数；④若x >0时，f (x ) =x 2-2x ，则x
三、解答题：本大题共6小题，共74分，解答应写出文字说明，证明过程或演算步骤。
17、已知全集U =R , 集合A =x -3≤x
18、已知f(x)是定义在R 上的奇函数，且x>0时，f(x)=2x
（1）求f(x)表达式，并在给出的坐标系中画出图象；
（2）设g(x)=2x -({}B , A B ；（2）A ∪（U B ）. 1x ) ，试指出该函数的定义域、奇偶性，并用定义法证明单调性. 2
19、如图，在正三棱柱ABC -A "B "C "中，D 为AB 中点.
（1）求证：AC 1∥平面B 1CD ；
（2）若正三棱柱的底面边长为4，高为6，试求三棱锥
C 1-ACD 体积.
20、2010年某企业受金融危机和国家政策调控的影响，经历了从亏损到盈利的过程，右面的二次函数图象（部分）刻画了该公司年初以来的累积利润S
（万元）与时间t （月）之间的关系（即前t 个月的利润总和
S 与t 之间的关系，0≤t ≤12）. 请根据图象提供的信息解答
下列问题：
（1）求累积利润S （万元）与时间t （月）之间的函数关系式；
（2）截止到第几月末公司累积利润可达到9万元；
（3）该企业第四季度所获利润是多少？
21、如下的三个图中，上面的是一个长方体截去一个角所得多面体的直观图．它的正视图和俯视图在下面画出（单位：cm ）
（1）在正视图下面，按照画三视图的要求画出该多面体的俯视图；
（2）按照给出的尺寸，求该多面体的体积；
（3
BC "BC "∥面EFG ．
"C " E C
⎧1-1,(0
（1）指出函数f (x ) 在区间(0,1),[1, +∞)上的单调性（不必证明）；
（2）当0
（3）若存在实数a , b (1
高一数学第一章测试题（卷）
班级 姓名 学号 成绩
一、选择：
1、下列说法正确的个数是（ ）
①全国的主要河流组成一个集合
② 1， ， ，2.5， 是一个有5个元素的集合
③集合 表示的是空集
④集合 ， 与集合 ， 是同一集合
⑤某班教室里的书籍组成一个有限集合
A．2 B．1 C．5 D．4
2、以全体非负实数为元素的集合的一个正确表示是（ ）
A． ≥ B． ＞0 C． D．
3、已知集合M= ≤ （ ）
A． B． C． D．
4、集合M= 的子集个数是（ ）
A．32 B．31 C．16 D．15
5、给出下列命题，正确的是（ ）
A．设全集U=R，A= 则CUA=
B．设全集U=Z，S=N，A=N+，则CSA=0
C．U= ， A= 则CUA=
D．U= ，A= 则CUA=
6、已知集合M= 则M∩P=（ ）
A．x＝3,y＝－1 B．(3,－1) C． ,－1 D． , －1
7、设集合M＝ ，则下列说法正确的是（ ）
A．M＝ B．M＝ C．－1∈M D．
8、已知不等式 ＞a (a>0) 的解集是 ＜－2或x＞2 ,
则不等式 ≤a－3的解集为 ( )
A． ＜－1或x＞1 B．R C． D． ＜x＜1
9、下列命题中，是简单命题的是（ ）
A．60能被4和5整除 B．平行四边形不是梯形
C．-2≥-1 D．3是一个大于0的整数
10、用数学符号表达“x不大于y的实际含义是 ( )
A．x≠y B．x＜y且x＝y C．x＜y D．x＜y或x＝y
11、设A、B是两个集合，则下列是真命题的是（ ）
A．若A B，则A∩B=B
B．若A B，则A∪B=B
C．若A∩B，则A B
D．若A∪B=B 则B A
12、已知P：(x－1) (x＋3)≥0， ≤0下列说法正确的是（ ）
A．P是q的既非充分又非必要条件
B．P是q的充要条件
C．P是q的充分非必要条件
二、填空
13、用 ， ， ， 填空
0.5 Q N R ,2
－1,2 2,－1
14、用阴影部分表示M∩N∩CUS
UUUU
15、不等式4x2－4x＋1>0的解集是
16、给出下列不等式：
① ＞0 ② ＜0 ③ ＜0 ④ ＜0
⑤ ＜0 其中与不等式 ＜0有相同解集的不等式的序号是
三、解答题
17、设∪= x∈N 0＜x≤10 ，A= 1、2、4、5、9 ，B= 4、6、7、8、10
C= 3、5、7 ，求A∩B，A∪B，A∩B∩C，A∪B∪C，（CuA）∪（CuB）
18、解不等式
⑴ x＋2 ＞ ⑵ ≤0
19、解不等式－4＜－ x2－x－ ＜－2
20、已知A= x x－1 ≥a ，B= x －6＜x＜4 ，且A∩B= ，求实数a的取值范围。
21、若方程ax2＋2x＋1=0至少有一个负的实根，求a的取值范围。
22、设方程x2＋px－12＝0的解集为A，方程x2＋qx＋r＝0的解集为B，已知A≠B，
A∪B＝ －3、4 ，A∩B＝ －3 ，试求实数，p、q、r的值。
这个还不错啊！··看看适合不？呵呵！~~ 怎么全是残缺不全的东西呀？是不是把“WORD”格式的试卷“复制”以后又“粘贴”上来的呀？里面的数学符号全不见了。
由已知条件知道π+α在第3或第4象限，那么α必然在第1或第2象限，且α=2πk+π/6 或者α=2πk+5π/6， 其中k为任意整数。从而
sinα=1/2，
cosα=+(根号3)/2或-(根号3)/2，
tanα=sinα/cosα=正或负的1除以(根号3) sin[π+α]=-sinα=-1/2
sinα=1/2
(sinα)^2+(cosα)^2=1
(cosα)^2=3/4
cosα=±√3/2
tanα=sinα/cosα=±√3/3
【 #高一# 导语】有时候，洒脱一点，眼前便柳暗花明;宽容一点，心中便海阔天空。身边的世界往往比我们想象的要睿智与宽容。心存感激，永不放弃!即使是在最猛烈的风雨中，我们也要有抬起头，直面前方的勇气。因为请相信：任何一次苦难的经历，只要不是毁灭，就是财富! 高一频道为你整理了《高一年级英语上册月考测试题》希望对你有帮助! 一、单项填空 (共15小题，计15分)
1. Let Harry play with your toys as well, Clare, you must learn to_________.
A. support B. care C. spare D. share
2. It was at 5 o’clock ______ the visitors finally arrived at Pudong International Airport.
A. when B. that C. before D. after
3. Iraq has _________ too many wars since 1990, making his people ______ a lot.
A. got through; pay B. looked through; face
C. gone through; suffer D. passed through; destroy
4. Pack up the items you’d like ______ along and leave behind those you dislike ______ with you on your journey.
A. to take; to take B. taking; taking C. to take; taking D. taking; to take
5. ----- How many times have you been to China?
----- In fact, it is the first time I _________ here.
A. was B. am C. had been D. have been
6. There was ______ time _____ Chinese used foreign oil.
A. a; when B. a; while C. /; when D. /; while
7．I cannot spend ________ money on the car which is ________ expensive for me.
A. too much; much too B. far too; too much
C. much too; too much D. too many; much too
8．In order to make progress in English, ________.
A．it is necessary to buy a dictionary
B．a dictionary is necessary
C．a dictionary needs to be bought
D．I will buy a dictionary
9.－Have you finished your experiment report, Jane?
－Oh, my God. I’ve _______ forgotten all about that.
A. strongly B. extremely C. entirely D. freely
10. The mother asked her son ____________.
A. what did he do the day before B. where did he find his lost wallet
C. What time he got up that morning D. that if he had finished his homework
11.----- Look! The telephone is broken. Someone damaged it _____ purpose.
-----That may be right. But perhaps it was broken _______ accident.
A. on; by B. by ;by C. on; on D. by; on
12. His wife told him __________ put it on her hand.
A. don’t B. not to C. didn’t D. to not
13. The recent rainy weather which we haven’t met with only _________ our difficulties.
A. added to B. came to C. got close to D. added up to
14. The flight to London was delayed ___________ the bad weather, which made my life worried.
A. because of B. because C. since D. instead of
15．—I’m Albert Smith.
—________. I’m Robert.
A．It’s my pleasure B．What a pleasure
C．I’m very pleased D．Pleased to meet you
二、完形填空 (共小20题，计20分)
About once a month I have to go to Degford for my work. One day I went into a hotel to have something to 16 . The waiter 17 my coat and put it in a small room.
About an hour later I was 18 to go. The waiter 19 me my coat. 20 something fell out of the pocket onto the floor. It was a small white box. Then I took a good look at the 21 .“Oh, you’ve brought someone 22 coat.”I said to the waiter. “It looks very much like mine, 23 it is quite new, and this isn’t my box, either.”
“Oh, then I 24 someone has taken your coat and left this.”said the waiter. “This kind of thing 25 sometimes.”
I opened the box. There was a beautiful gold ring in it. So I went 26 to the police station.
“ 27 lost a ring?”I asked.
“Yes.”said a policeman,“A young man who came in this morning lost a ring, he lost it in London.”
He 28 the young man. A few minutes later, the man arrived.
“Yes, this is my ring.”he said,“How can I 29 you, sir? You see, I paid a lot of money for this ring and 30 I lost it on the train!”
After I told him the 31 of the coat, he said, “You haven’t been on the train, I haven’t been in the hotel, so how did my ring 32 in the coat?”
“Did 33 sit or stand next to you on the train?” asked the policeman.
“Yes.”said the young man.“But I don’t remember his face.”
“You may remember this coat.”said the policeman,“Was it like this one?”
“Yes, it was.”said the young man,“But my friend here 34 the thief.”
The policeman laughed.“ 35 ”He said.“The thief on the train stole your ring, and like our friend here, he went into the hotel to get some food. Only he didn’t take the right coat away with him.”
16.A．do B．buy C．eat D．deal with
17.A．took B．found C．liked D．watched
18.A．anxious B．glad C．invited D．ready
19.A．showed B．returned C．brought D．dressed
20.A．Luckily B．Suddenly C．Obviously D．At once
21.A．ring B．box C．coat D．pocket
22.A．lost B．missed C．new D．else’s
23.A．but B．and C．instead D．for
24. A．know B．wonder C．think D．find
25. A．appears B．happens C．meets D．changes
26. A．around B．about C．above D．along
27. A．Who B．Has she C．Has anyone D．Have you
28. A．wrote to B．remembered C．telephoned D．knew
29. A．return B．thank C．find D．help
30. A．then B．so C．yet D．however
31. A．model B．price C．story D．size
32. A．enter B．put C．set D．get
33. A．no one B．someone C．everyone D．anyone
34. A．discovered B．isn’t C．has caught D．doesn’t know
35. A．I’m afraid not B．Yes C．No D．Surely
三、阅读理解 （4篇短文，选出正确选项，每题2分，共30分）
I’m sure you know the song “Happy Birthday”. But do you know who wrote the song and for whom it was written?
The retired professor, Archibald A. Hill in Lucasville, USA could tell us the story. Ninety-seven years ago, two of Mr. Archibald Hill’s aunts, Miss Patty Hill and Miss Mildred Hill were asked to write some songs for a book called “Song Storied for the Sunday Morning”. Miss Patty Hill and Miss Mildred Hill were both kindergarten teachers then. They loved children very much and wrote many beautiful songs for the book. One of them was the famous “Good Morning to You.” The song said, “Good morning to you, good morning to you, 高考资源网 children, good morning to all.” This song was very popular at that time among kindergarten children. But not many grown-ups knew it. A few years later little Archibald was born. As his aunt, Miss Patty Hill sang the song “Happy Birthday” to the melody（曲调）of “Good Morning to you” to her little nephew（侄子）. She sang the song like this: Happy birthday to you! Happy birthday to you! Happy birthday, 高考资源网 Archie! Happy birthday to you!
Miss Patty Hill and her sister had never expected that this song would become so popular, but it really did. People all over the world like the song because of its simplicity in tune（曲调简单）and friendliness in words.
36. Professor Archibald A. Hill was Miss Mildred Hill’s __________.
A. son B. student C. brother D. nephew
37. Why did Miss Hills wrote songs?
A. Because they are musicians.
B. Because they love children.
C. Because they were asked to write for a book.
D. Because their nephew asked them to do so.
38. The sentence “it really did” means __________.
A. The song really became popular
B. Their wish would really come true
C. People all over the world like to listen to the song
D. The song was not expected to become popular.
When you cut your skin, you bleed(流血). If a person loses a lot of blood, he will become ill and may die. Blood is very important. People have always known that. At one time, some people even drank blood to make them strong!
When doctors understand how blood goes around inside the body, they try ways of giving blood to people who need it. They take blood from the healthy people and give it to people who need it. This is called "blood transfusion". The blood goes from the arm of the healthy person into the arm of the sick person.
But there are two problems. First, it does not always work. Sometimes people die when they have blood transfusion. Later, doctors find that we do not all have the same kind of blood. There are four groups—O, A, B and AB. We all have blood of one of these groups. They also find that they can give any kind of blood to people of group AB. But they find that they must give A-group blood to A-group people and B-group blood to B-group people. I have O-group blood and the doctor told me that I could give blood to anyone else safely.
There is another problem. To give blood of the right kind, doctors have to find a person of the right blood group. Often they can not find a person in time. If they have a way to keep the blood until someone needs it, they can always have the right kind of blood. At first they find they can keep it in bottles for fifteen to twenty days. They do this by making it very cold. Then they find how to keep it longer. In the end they find a way of keeping blood for a very long time.
We call a place where we keep money a "bank". We call a place where we keep blood a "blood bank". One day, when you grow up, you may decide to give blood to a "blood bank". In this way you may stop someone from dying. Or perhaps one day you may become ill. You may need blood. The "blood bank" will give it to you.
39. From the passage, we learn that sometimes people die when they have blood transfusions because they .
A. are unhealthy people B. have lost a lot of blood
C. are not given the right kind of blood D. are AB-group people
40. Which of the following is true?
A. Doctors can give any kind of blood to the writer.
B. The writer can give blood to B-group people.
C. The writer has never had a blood transfusion.
D. The writer has the same kind of blood as his father.
41. From the last paragraph (段落) of the passage, we learn that .
A. the writer thinks it's good to give blood to a "blood bank"
B. we may become ill if we give blood to a "blood bank"
C. many people died because they lost a lot of blood
D. blood is more important than money
42. The writer doesn't talk about in the passage.
A. how important blood is to us
B. the four groups of blood
C. where the blood bank is
D. what "blood transfusion" is
About ten men in every hundred suffer from color blindness in some way. Women are luckier; only about one in two hundred is affected in this matter. Perhaps, after all, it is safer to be driven by a woman!
There are different forms of color blindness. In some cases a man may not be able to see deep red. He may think that red, orange and yellow are all shadows of green. Sometimes a person cannot tell the difference between blue and green. In rare cases an unlucky man may see everything in shades of green － a strange world indeed.
Color blindness in human beings is a strange thing to explain. In a single eye there are millions of very small things called “cones”. These help us to see in a bright light and to tell difference between colors. There are also millions of “rods”, but these are used for seeing when it is near dark. They show us shape but no color.
Some insects have favorite colors. Mosquitoes prefer blue to yellow. A red light will not attract insects, but a blue lamp will. In a similar way human beings also have favorite colors. Yet we are lucky. With the aid of the cones in our eyes we can see many beautiful colors by day, and with the aid of the rods we can see shapes at night. One day we may even learn more about the invisible colors around us.
43. The passage is mainly about _____________.
A. color and its surprising effects. B. women being luckier than men
C. danger caused by color blindness D. color blindness
44. According to the passage, with the help of the “cones”, we can_______________.
A. tell different shapes B. see in a weak light
C. kill mosquitoes D. tell orange from yellow
45. Why do some people say it is safer to be driven by women?
A. Women are more careful.
B. There are fewer color-blind women
C. Women are fonder of driving than men.
D. Women are weaker but quicker in thinking.
46. Which of the statements about the color- blind is true?
A. Not all of them have the same problem in recognizing color.
B. None of them can see deep red.
C. None of them can tell the difference between blue and green.
D. All of them see everything in shades of green
Dr. Martinez put on a false smile as she entered Janet Eslin’s hospital room. She couldn’t let Janet see that she was worried. Yet she had been searching for the cause of Janet’s illness and hadn’t found a clue (线索) .
“How are you feeling today?” Dr. Martinez asked her patient. Janet replied that she felt about the same----terribly uncomfortable.
The doctor tried to get Janet’s mind off her health by talking about Janet’s vacation at Lake Winnow. But Dr. Martinez couldn’t keep her own mind on the conversation. She kept wondering what could be wrong with her patient.
Suddenly Janet’s words interrupted Dr. Martinez’s thoughts: “… the vacation was really perfect, except for the food. The last meal I ate was especially awful(糟糕的).”
Dr. Martinez quickly snapped back into the conversation, “Janet, when did you eat that meal?” Janet said that it had been the day before yesterday.
“I think we’ve discovered your problem,” Dr. Martinez said as she left. Several hours later, Dr. Martinez was back with the answer. “Janet, the food you ate made you ill. You’re suffering from food poisoning. Now that we know what’s wrong, we can take care of your problem.”
47. What made Janet sick?
A. an insect bite B. bad food
C. bad water D. cold weather
48. What is the main idea of the story?
A. A doctor discovers what made Janet sick.
B. Dr. Martinez becomes ill.
C. Janet goes on vacation.
D. A doctor talks to Janet in the hospital.
49. Where did Janet go on her vacation?
A. She took a trip to the city.
B. She went camping in the mountains.
C. She spent a week at the seashore.
D. She took a trip to a lake.
50. What does the underlined word “interrupted” mean?
A. talked about
B. told over again
C. broke in while someone was talking
D. never stopped listening to the other person
四、单词拼写 (共10小题，计10分)
根据下列句子及所给单词的首字母或中文意思，在答题卷上按题号写出各单词的完全形式,注意单词形式的变化 (每空限填一词)。
51. I don’t want to set down a s________ of facts in a diary as most people do.
52. I am only able to look at nature through dirty c________ hanging before very dusty windows.
53. So why has English changed over time? A__________ all languages change and develop when cultures meet and communicate with each other.
54. These new setters enriched the English language and especially its v_______________.
55. The t___________ and lightning seemed to have moved away, but the rain continued to pour.
56. I’m very g__________ to all those who gave me a hand when I was in trouble.
57. The boy told me to walk the dog o_________ for some time every day.
58. Police are trying to discover the i________________ of a baby found by the side of a road.
59. The man wore the dark glasses hoping no one would r__________ him.
60. The climate is g_____________ becoming drier and warmer.
五、短文改错 (找出多余的, 缺少的,错误的单词或短语，并改正) (计10分)
高考资源网 Alice,
I have just got some good news to tell to you. I win a national prize for painting last week. My father was so pleasing that he suggested I go to England for a holiday. I’d like to staying there for half a month, visiting place of interest or practicing my English as well. We’ve been writing to each for nearly one and a half year now. I have often dreamed of talk face to face with you. I imagine you’ll be at vacation yourself by that time. Perhaps we could go out to do some sightseeing together.
Best wishes,
Lily
六、书面表达 (共1题，计15分)
假定你是李华，看到班上有部分同学在完成作业时，不自己独立完成而是抄袭他人的作业，针对这种现象，请你以My opinion on copying others’ homework为题谈谈你自己的看法。
主 要原 因 个 人看 法
作业多，偏难 抄袭不对，违反校规
对功课不感兴趣，懒惰 要诚实，勤奋学习
完成任务，使老师高兴 有困难可请教同学和老师
注意：1. 短文必须包括所有内容要点，可适当发挥；
2. 短文标题与开头已为你写好，不计入总词数：
3.词数：80左右。
My opinion on copying others’ homework
It is known to us all that some students copy others’ homework. __________
学好数学要多做练习、上课认真听讲、不会的题要问老师、做作业要当做考试来看待、不要在心理上抵触数学、平时多抽出一些时间来练习数学，只有自己多研究才能学会数学。下面小编为大家带来高一数学月考试题及答案，希望对您有所帮助!
高一数学月考试题及答案
一、选择题(本题共有12小题，每小题5分,共60;只有一项是符合题目要求的)1、已知集合A?{y|;A、{1,2}B、{y|y?1或2}C、{(x,;x?0或??y?1?x?1?;y?2}D、{y|y?1}2.设f?x??3x?;?3.若函数f(x)???(1x;4),?1?x?
大庆一中高一年级2015-2016学年度上学期第二次月考
数学试题2015.11.26
一、选择题(本题共有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、已知集合A?{y|y?x2?1,x?R},B?{y|y?x?1,x?R}，则A?B?()。
A、{1,2}B、{y|y?1或2}C、{(x,y)|??
x?0或??y?1?x?1?
y?2}D、{y|y?1}2.设f?x??3x?3x?8，用二分法求方程3x?3x?8?0在x??1,2?内近似解的过程中得f?1??0,f?1.5??0,f?1.25??0，则方程的根落在区间()A.(1,1.25)B.(1.25,1.5)C.(1.5,2)D.不能确定
?3.若函数f(x)???(1x
4),?1?x?0,
则f(log43)=()
??
高一数学基础知识达标检测试题（A ）
本试卷分第I 卷（选择题），第II 卷（非选择题）两部分，第I 卷60分，第II 卷90分，共150分。考试时间为120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、设集合A={x|-5≤x
A 、{x|-5≤x
C 、{x|x
2、已知集合A ⊆{1，2，3}且A 中至少有2个元素，满足条件的集合A 共有（ ）
A 、3个
C 、5个
0.3 2 B 、4个 D 、8个 3、三个数2,0.3,log 0.32的大小顺序是（ ）
A 、0.3
C 、log 0.32
4、设函数f(x)=220.3 B 、0.3
B 、关于y 轴对称 D 、无对称性 A 、关于原点对称 C 、点于直线x=2对称
5、已知不间断的函数f(x)在区间[a,b]上单调，且f(a)·f(b)
A 、至少有一实根
C 、没有实根 B 、至多有一实根 D 、必有唯一的实根
6、下列判断正确的是（ ）
A. 棱柱只能有两个面可以互相平行 B. 底面是正方形的直四棱柱是正棱柱
C. 底面是正六边形的棱台是正六棱台 D. 底面是正方形的四棱锥是正四棱锥
7、已知一个长方体长宽高的比是4：2：1，体积为64，则长方体外接球的表面积是（ ）
A 、336π B 、336 C 、84π D 、84
8、a ，b ，c 为三条不重合的直线，α，β，γ为三个不重合的平面，给出的下列命题中，正确的个数是（ ）
①a ∥c ，b ∥c ⇒a ∥b ；②a ∥γ，b ∥γ⇒a ∥b
③a ∥α，a ∥β⇒α∥β；④α∥γ， β∥γ⇒α∥β
A 、1 B 、2 C 、3 D 、4
9、在平行六面体AC 1中，E 、F 、G 分别是棱A 1A ，AB ，AD 的中点，则三棱锥E-AFG 的体积与平行六面体的体积之比为（ ）
1 12
1C 、 48A 、
2 1 241D 、 64B 、10、已知函数f (x ) =x +x +1，x ∈⎢-1, ⎥的最值情况( ) 2⎡⎣3⎤⎦
31919，有最大值 B.有最小值1，有最大值 444
3C. 有最大值，但无最小值 D.无最大值，也无最小值 4A. 有最小值
⎧log 2(x -1) x …2⎪11、设函数f (x ) ==⎨⎛1⎫x 若f (x 0) >1，则x 0的取值范围是（ ） -1 x
A (-∞,0)(2, +∞) B （0,2） C (-∞, -1)(3, +∞) D （－1,3）
212、函数f (x ) =a x +log a (2x +1)(a >0, a ≠1) 在[0,2]上的最大值与最小值之和为a ，
则a 的值为（ ） A.
2 11 B.5 C. D.4 54
第II 卷（非选择题，共90分）
二、填空题：本大题共4小题，每小题4分，共16分。
13、一个正三棱柱的三视图如右图所示，
因此三棱柱的全面积为_____cm. 2
cm 1-m 是奇函数，则m =______ 2x +1
115、已知函数f(x)定义域为(,8], 则函数f(log2x) 定义域为______ 214、已知函数f (x ) =
16、已知函数f (x ) 是定义在R 上的奇函数，给出下列命题：①f (0)=0；②若f (x ) 在[0, +∞)上有最小值-1，则f (x ) 在(-∞,0]上有最大值1；③若f (x ) 在[1, +∞)上为增函数，则f (x ) 在(-∞, -1]上为减函数；④若x >0时，f (x ) =x 2-2x ，则x
三、解答题：本大题共6小题，共74分，解答应写出文字说明，证明过程或演算步骤。
17、已知全集U =R , 集合A =x -3≤x
18、已知f(x)是定义在R 上的奇函数，且x>0时，f(x)=2x
（1）求f(x)表达式，并在给出的坐标系中画出图象；
（2）设g(x)=2x -({}B , A B ；（2）A ∪（U B ）. 1x ) ，试指出该函数的定义域、奇偶性，并用定义法证明单调性. 2
19、如图，在正三棱柱ABC -A "B "C "中，D 为AB 中点.
（1）求证：AC 1∥平面B 1CD ；
（2）若正三棱柱的底面边长为4，高为6，试求三棱锥
C 1-ACD 体积.
20、2010年某企业受金融危机和国家政策调控的影响，经历了从亏损到盈利的过程，右面的二次函数图象（部分）刻画了该公司年初以来的累积利润S
（万元）与时间t （月）之间的关系（即前t 个月的利润总和
S 与t 之间的关系，0≤t ≤12）. 请根据图象提供的信息解答
下列问题：
（1）求累积利润S （万元）与时间t （月）之间的函数关系式；
（2）截止到第几月末公司累积利润可达到9万元；
（3）该企业第四季度所获利润是多少？
21、如下的三个图中，上面的是一个长方体截去一个角所得多面体的直观图．它的正视图和俯视图在下面画出（单位：cm ）
（1）在正视图下面，按照画三视图的要求画出该多面体的俯视图；
（2）按照给出的尺寸，求该多面体的体积；
（3
BC "BC "∥面EFG ．
"C " E C
⎧1-1,(0
（1）指出函数f (x ) 在区间(0,1),[1, +∞)上的单调性（不必证明）；
（2）当0
（3）若存在实数a , b (1
