1、高三上学期第一次阶段测试数学文试题 含答案2019-2020年高三上学期第一次阶段测试数学（文）试题 含答案李瑛 刘素丽一、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.集合A=0,1,2，B=，则（ ）A.0 B.1 C.0，1 D.0，1,22.“或是假命题”是“非为真命题”的（ ）A充分而不必要条件 B必要而不充分条件 C充要条件 D既不充分也不必要条件3.函数的定义域为（ ）A. B. C. D.4.设的大小关系是 ( ) A B C D5.下列函数中,既是偶函数又在上单调递增的是（ ）A B C D 6.函数图象的对称轴为，
2、则的值为（ ）A B C D7.已知定义在R上的函数满足，且，则等于（ ）A1 B.2 C-1 D.08.函数与的图像交点的横坐标所在区间为（ ）A. B. C. D.9.已知函数（其中）的图象如图1所示，则函数的图象是图2中的（ ）图1A B C D图210. 设为定义在上的奇函数，当时，则（ ）A.-1 B.-4 C.1 D.4 11. 函数的一个单调增区间是( )A . B. C. D.12.定义新运算：当时，；当时, ，则函数， 的最大值等于（ ）A-1 B1 C6 D12二、填空题（本大题共4小题，每小题5分，满分20分.）13.已知函数，则函数的值为14.若函数的图象不经过第一象限
3、，则的取值范围是15.若方程的两根中，一根在0和1之间，另一根在1和2之间，则的取值范围16.已知命题“存在”为假命题，则实数的取值范围是三、解答题：（本大题满分70分，解答时应写出必要的文字说明、证明过程或演算步骤）17.(本小题满分10分)已知集合,.（1）求,；（2）若,求的取值范围.18.(本小题满分10分)已知实数，求函数的零点.19.(本小题满分12分）已知且,求实数的值20.(本小题满分12分）已知函数.（1）求的定义域； （2）证明：函数在定义域内单调递增.21.(本小题满分13分）已知二次函数的图像与轴交于A，B两点，且，它在轴上的截距为4,又对任意的都有.（1）求二次函数的
4、表达式；（2）若二次函数的图像都在直线 的下方，求的取值范围.22.(本小题满分13分）设函数y=是定义在R上的函数，并且满足下面三个条件： 对任意正数x、y，都有； 当x1时，0； . （1）求的值； （2）证明上是减函数； （3）如果不等式成立，求的取值范围.西安市第八十三中学xx高三年级第一次阶段测试数学（文）答案一、选择题：(本大题共12小题，每小题5分，满分60分.)题目123456789101112答案CADBDCBBABDC二、填空题：(本大题共4小题，每小题5分，满分20分.)13 14 15 16-16,0三、解答题：(本大题共6小题，满分70分.)17（满分10分）(1)
5、, 因为,所以.（2）由（1）知,当M=时,满足,此时,得; 当M时,要,则解得.由得,.18（满分10分）， 可能等于1或或。 当时，集合为，不符合集合元素的互异性。同理可得。，得（舍去）或。 ，解方程得函数的零点为和。19（满分12分）由已知,当时,解得,这与前提矛盾；当时,解得,由于,则有；当时,解得,这与前提矛盾；综上所述,实数的值为20（满分12分）（1）由,解得的定义域为4分（2）证明：设,则因此：, 即：,则在（-，0）上为增函数。12分21（满分13分）（1）方法一 ，y=f（x）的对称轴为x=1，又f(x)为二次函数，可设f(x)=a(x-1)2+k (a0),又当x=0时，
6、y=4,a+k=4,得f(x)=a(x-1)2-a+4,令f(x)=0,得a(x-1)2=a-4.x=1. |AB|=2,a=-2.f(x)=-2(x-1)2+6=-2x2+4x+4. 方法二 令二次函数y=f(x)的图像与x轴交于A（x1，0），B（x2，0），（x2x1）,f（x+1）=f（1-x），|AB|=2.x1+x2=2，x2-x1=2，得x1=1-,x2=1+. 设二次函数f(x)=ax-(1-)x-(1+).又f(0)=4,则a=-2.即f(x)=-2(x-1)2+6=-2x2+4x+4. (2)由条件知-2x2+4x+4x+c在xR上恒成立.即2x2-3x-4+c0对xR恒成
7、立. =9+8（4-c）0，得c, c的取值范围是（，+）. 22. （满分13分）（1）令x=y=1易得. 而，且 4 分（2）在R+上为减函数。 8分（3）由条件（1）及（）的结果得： 由（2）得： 解得x的范围是） 13 分2019-2020年高三上学期第一次阶段测试英语试题 含答案xx高三年级第一次阶段测试英语试题刘少文 董轩第I卷第一部分：听力（共两节，满分20分）第一节 听下面5段对话。每段对话后有一个小题，从题中所给的A、B、C三个选项中选出最佳选项，并标在试卷的相应位置。听完每段对话后，你都有10秒钟的时间来回答有关小题和阅读下一小题。每段对话仅读一遍。1.How did th
8、e woman get there?A.By car. B.By bus. C.By bike.2.How much is the dictionary?A.$24. B.$26. C.$50.3.Why does the man make this call?A.To cancel his travel. B.To book his ticket. C.To change the leaving date.4.What is the man trying to do?A.Make an excuse. B.Make an apology. C.Make a plaint.5.Where ca
9、n the man find an available restroom?A.In the first and second floor.B.In the first and third floor.C.In the second and third floor.第二节 听下面5段对话或独白。每段对话或独白后有几个小题，从题中所给的A、B、C三个选项中选出最佳选项，并标在试卷的相应位置。听每段对话或独白前，你将有时间阅读各个小题，每小题5秒钟；听完后，各小题将给出5秒钟的作答时间。每段对话或独白读两遍。听下面一段对话，回答第6和第7两个小题。6.What are the speakers ma
10、inly talking about?A.Life styles. B.Happy childhood. C.Activities in spare time.7.What does the woman think of taking photos?A.Its interesting. B.Its a waste of money. C.Its suitable for children.听下面一段对话，回答第8和第9两个小题。8.When did the woman leave school?A.In 1994. B.In 1995. C.In 1996.9.Why did the woma
11、n start running?A.To keep fit. B.To bee famous. C.To make money.听下面一段对话，回答第10至第12三个小题。10.Why does the woman e to the man?A.To go over lessons with him.B.To have a chat with him.C.To inform him of a test.11.What do we know about the man?A.He was studying just now.B.He was looking for the woman.C.He d
12、idnt do well in the last test.12.What will the man do?A.Study with the woman. B.Give Elizabeth a call. C.Take a test.听下面一段对话，回答第13至第16四个小题。13.What is the relationship between the speakers?A.Classmates. B.Co-workers. C.Waiter and diner.14.What did the woman have for lunch?A. A pizza. B. A hamburger.
13、C. A sandwich.15.What have the speakers decided to order?A.Pasta,coffee,Coke and iced water.B.Pizza,chicken salad and iced water.C.Soup,hamburger and cola.16.Where does the conversation probably take place?A.At McDonalds. B.At KFC. C.At an Italian restaurant.听下面一段独白，回答第17至第20四个小题。17.What is the pass
14、age mainly about?A.Sports education. B.Childrens psychology. C.Playground safety.18.Where do most of children injuries happen?A.On public playgrounds. B.At the gyms. C.On the hard-surface roads.19.What does the speaker suggest parents do?A.Join in their childrens activities.B.Stay close to their chi
15、ldren.C.Repair the equipment of the playground.20.What can we learn from the passage?A.There are 200,000 playgrounds all over the country.B.Childrens sense of safety encourages creativity.C.Many children are afraid of being watched.第二部分：阅读理解（共两节，满分35分）第一节（共15小题；每小题2分，满分30分）阅读下列短文，从每题所给的四个选项（A.B.C和D）
16、中，选出最佳选项。AIt is six oclock in the morning. You are asleep in my left arm and I am learning the art of one-handed typing. Your mother, more tired yet more happy than Ive ever known her, is sound asleep in the room next door. When youre older well tell you that you were born in HongKong in the lunar y
17、ear of the pig. “Its a boy, so lucky,” our neighbours told us. They said you were the first baby to be born in the block this year. This, they told us, was good Feng Shui, in other words, a positive sign. Naturally your mother and I were only too happy to believe that. Your ing has turned me upside
18、down and inside out. I am pained by the memory of each suffering child I have e across on my journeys as a journalist. To tell you the truth, its nearly too much for me to even think of the children being hurt and abused and killed. Last October, in Afghanistan, when you were growing inside your mot
19、her, I met Sharja, aged twelve, motherless, fatherless, guiding me through the grey ruins of her home. Everything was gone, she told me. There is another memory of Rwanda, and the churchyard where I found a mother and her three young children huddled(蜷缩) together where theyd been beaten to death. Th
20、e children had died holding on to their mother. Daniel, these memories explain some of the protectiveness I feel for you, and the occasional moments of blind terror when I imagine anything bad happening to you. 21We can see that this text is written to _.A. the authors wife B. the authors neighbourC
21、. Daniel D. a suffering child22The author mentions some of his painful memories because _.A. he wants his son to care for othersB. he feels more pain thinking about them as a fatherC. he hopes to forget the tragedies he witnessedD. his experience has affected his mental health23The underlined word “
22、blind” in the last paragraph means _.A. unable to see B. meaningfulC. not clear D. not based on reason24Which of the following words best describes the authors feeling when typing this text?A. Critical. B. Regretful. C. Loving. D. Calm.BGoing to university can cause many unfamiliar feelings. Its a s
23、tressful period. While it offers greater freedom, many find it difficult to let go of family ties and old school friends.Adding the pressures of academic performance and the loneliness of being in an alien environment, life can bee confusing. For many students, good grades bee the first concern and
24、other ones, like that of mental health, bee less important.Earlier this year, researchers from the US Northwestern University Feinberg School of Medicine released a study earlier showing that between one-fifth and one-quarter of university students within the US suffer from some form of depression.T
25、hough a majority of people will feel depressed at some point in their life, this doesnt mean symptoms can be ignored. How can we define “depression”? Although everyone gets sad at times, depression is an illness that is different from just feeling down.When a “bad day” turns into a “bad week” and go
26、es on into a “bad month”, its probably time to get some help. Depression can form a cycle it takes away the energy and confidence you need to get out of it, which may severely disturb their normal life. The good news, however, is that depression is treatable and most universities now offer a variety
27、 of services to help their students.There is a lot of professional help available today and a number of medical treatments have been shown to be a highly effective. For less severe cases, often just speaking to a tutor or a friend can make a huge difference. Sometimes all you need is a helping hand
28、and thats where friends can be of great help. Many researchers have also shown that gentle exercise, healthy foods and an optimistic outlook can do wonders for your mood. So stay positive and know that youre not alone.25. Which is not mentioned by the writer in making students feel depressed ?A. Bei
29、ng far away from home B. Feeling homesickC. The pressures from studies D. Local food 26. Which of the following statements is right according to this passage?A. Being depressed can be ignored because it is rare in universities.B. Something has been done to help those suffering from being depressed.C
30、. Once one feels down in campus, they must seek professional advice.D. So far, no medicine can be effective in treating depression.27. Depression is an illness because _.A. it will occur again and again over a certain period of timeB. those suffering from it can not live a normal lifeC. it will make one sleepy in class D. it is hard to recover from it C Why do men die earlier than women? The latest research makes it known that the reason could be that mens hearts go into rapid decline when th
