山西省大同市第一中学2015-2016学年高一数学上学期12月月考试题
一、选择题 (每小题3分,共36分)
1.设集合,则下列关系中正确的是
A. B. C. D.
2.用辗转相除法求189与161的最大公约数时,需要做的除法的次数是
A.3 B.4 C.5 D.6
3.将两个数,交换,使,,下面语句正确的一组是
A. B. C. D.
4.把“二进制”数1011001(2) 化为“五进制”数是
A.224(5) B.234(5) C.324(5) D.423(5)
5.用简单随机抽样的方法从含有10个个体的总体中,抽取一个容量为3的样本,其中某一个体a“第一次被抽到”的可能性,“第二次被抽到”的可能性分别是
A., B., C., D.,
6.用秦九韶算法求多项式
的值时,
A. B.4 C. D.
7.执行右面的程序框图,若输入a,b,k分别1,2,3则输出的M =
A. B.
C. D.
8.已知,,,,则
A. B.
C. D.
- 5 -
9.要得到函数的图象,只需将函数的图象
A.向左平移1个单位 B.向右平移1个单位
C.向左平移个单位 D.向右平移个单位
10.已知,、满足且,则等于
A.0 B.2 C.4 D.6
11.函数的定义域为,值域为,当变动时,函数的图象可以是
12.函数的定义域,图象如图1所示;函数的定义域为,图象如图2所示,方程有m个实数根,方程有n个实数根,则( )
A.6
B.8
C.10
D.12
二、填空题 (每小题4分,共20分)
13.函数的单调递增区间为 .
14.计算 .
15.已知,,则= .
16.已知函数,若函数
有三个不同的零点,则实数的取值范围是 .
17.右上图是用条件语句编写的一个程序:若输入4,则输出的结果
是 ,该程序的功能是求函数 的值。
- 5 -
三、解答题
18.(10分)已知函数
(1) 讨论函数的奇偶性;(2) 证明
19.(10分) 阅读下面的问题:,虽然括号内可填写的数字不唯一,但是我们只要确定出满足条件的最小的正整数,括号内填写的数字只要大于或等于即可.试写出寻找满足条件的最小整数。的算法,并画出相应的程序框图.
20.(12分) 某服装厂生产一种服装,每件服装的成本为40元,出厂单价定为60元,该厂为鼓励销售商订购,决定当一次订购量超过100件时,每多订购一件,订购的全部服装的出厂单价就降低0.02元,根据市场调查,销售商一次订购量不会超过500件。
(1) 设一次订购量为x件,服装的实际出厂单价为y元,写出函数的表达式;
(2) 当销售商一次订购了450件服装时,该服装厂获得的利润是多少元?(服装厂售出一件服装的利润=实际出厂单价-成本)
21.(12分) 已知函数,,m为常数,
(1) 设函数存在大于1的零点,求实数m的取值范围;
(2) 设函数有两个互异的零点、,求m的取值范围。
- 5 -
高一英语 月考答案
I. 阅读理解(40分)
1~4 CDDA 5~7 DBC 8~11 ABCC 12~15 BDCD 16~20 BEAGF
II. 完形填空(30分)
21-25 BACDA 26-30 BCDDD 31-35 CBAAB 36-40 CDACB
III. 单句填空(10分)
41. ago 42. under 43. for 44. in 45. by
46. valuable 47. setting 48. buried 49. Luckily 50. amazement
IV. 单句改错(10分)
51. I will never forget the day on that I first came to the beautiful school.
which
52. I don’t believe the reason which he explained ︿ me just now.
to
53. Gun control is a subject with which Americans have argued for a long time.
about/over
54. I will never forget the teacher whom I think has helped me most with my studies.
who/that
55. The vacation is worthy making use of to visit the cultural relic.
worth
56. Everyone should be able to do what they can ︿ make their country stronger.
to
57. People thought high of what he had done with the Amber Room.
highly
58. The teacher as well as his students is taking ︿ active part in the sports meeting.
an
59. –Where did you see the visiting head of the German government?
--It was in the hotel that she stayed.
where
- 5 -
60. The police is searching the forest for the missing boy.
are
V. 完成句子(10分)
61. His whole life has ___been___ __devoted__ _____to_____ ___studying___ (devote; study) to help patients fight against cancer.
62. If you keep on smoking, you are sure ____to____ _destroy/ruin_ ___your___ __health__ (毁 掉你的健康).
63. How the plan will work __remains__ _____to____ _____be____ ___seen___ (remain; see).
64. There ____is____ _____no____ ___doubt___ ___that___(毫无疑问) they will agree with you on this matter.
65. I was about to have a talk with him ___when___ _____he____ ___turned___ _____on____ (这时他打开了) the TV.
- 5 -