题目列表(包括答案和解析)
请拼写出符合题意的单词;注意正确形式;若有错误概不给分。
1. If Tom plans to pass the physical exam, he’d better change his _____ (态度) towards learning.
2. The brave policeman is still ______ (恢复) from his operation after fighting with the thief.
3. I would be g______ if you could give me some advice on how to write a good travel journal.
4. The successful program “Where are we going, dad?” was _____ (组织) by Hunan TV station.
5. ______ (逐渐) the children began to understand the importance of honesty.
(本题12分)根据空气质量指数API(为整数)的不同,可将空气质量分级如下表:
![]()
对某城市一年(365天)的空气质量进行监测,获得的API数据按照区间
,
,
,
,
,
进行分组,得到频率分布直方图如图.
(1)求直方图中
的值;
(2)计算一年中空气质量为良的天数;
(3)某环保部门准备在一年内随机到该城市考察两次空气质量,求两次考察空气质量都为良的概率(结果用分数表示).
以下是五个应聘者的信息。请阅读A至F职位招聘的信息,选出符合他们要求的最佳选项。选项中有一项是多余选项。(答案写在答题卷上)
1.Elizabeth Nagata.
Elizabeth
once studied in a secretarial program when she was at university. She has
worked in Sumitomo Corporation as an executive assistant for eight years.
2.James Florian.
James once
worked as a salesperson and served as the director of new home sales in both
Forest Lakes and Glenmore for three years. He can speak excellent German and
English, and he is very good at dealing with people.
3.Arthur Smith.
Arthur, a
22-year-old boy, has just graduated from college. He’s got a diploma in Library
Technician Program. Wishing to have some free time, he doesn’t want to work
full time.
4.Gillian Anderson.
Gillian
graduated from the University of Manchester and got a Master’s Degree in
Library Science five years ago. As soon as she left school, she worked in St.
Bride Printing Library as a librarian. Now she is skilled in dealing with
almost everything in the library system.
5..Jerome Fingelhamm.
Jerome, aged
32, majored in computer science when he was at university. He has worked in a
software company for six years and is an expert at both software and hardware.
He got a driver’s license when he was eighteen years old.
|
A.
|
B.Executive Assistant Vancouver
|
C.Reference Specialist
|
D.Library Technician |
We need a
part-time library technician. Your position is responsible for library
cataloging (编目录), binding, ordering publications, assisting in legal research. Both
technical and reference services are required. The successful applicant should
have a Library Technician diploma (文凭).
E.
Circulation Director(发行总监)
We are
looking for a circulation director. The successful applicant must have good
managing skills, including the ability to assign tasks to ensure the work of
the circulation department is done to the highest standard. A sales experience
of at least ten years is needed.
F. Computer
& Network Assistant
This
position is responsible for the activities related to the use of automated (自动化的) systems. Duties include
installing (安装), repairing and updating software and
hardware. A driver’s license is necessary.
第二节:以下是五个应聘者的信息。请阅读A至F职位招聘的信息,选出符合他们要求的最佳选项。选项中有一项是多余选项。(答案写在答题卷上)
Elizabeth Nagata.
Elizabeth once studied in a secretarial program when she was at university. She has worked in Sumitomo Corporation as an executive assistant for eight years.
James Florian.
James once worked as a salesperson and served as the director of new home sales in both Forest Lakes and Glenmore for three years. He can speak excellent German and English, and he is very good at dealing with people.
Arthur Smith.
Arthur, a 22-year-old boy, has just graduated from college. He’s got a diploma in Library Technician Program. Wishing to have some free time, he doesn’t want to work full time.
Gillian Anderson.
Gillian graduated from the University of Manchester and got a Master’s Degree in Library Science five years ago. As soon as she left school, she worked in St. Bride Printing Library as a librarian. Now she is skilled in dealing with almost everything in the library system.
.Jerome Fingelhamm.
Jerome, aged 32, majored in computer science when he was at university. He has worked in a software company for six years and is an expert at both software and hardware. He got a driver’s license when he was eighteen years old.
Sales Executive
We are looking for intelligent sales staff for our ever-growing team. Applicants must have at least one year sales experience, knowledge of English language publications and media, good English and social skills.
B. Executive Assistant Vancouver
Island Regional Library (VIRL) has an opportunity for an executive assistant. A diploma in Business Administration or a secretarial program is needed. A minimum (最小值) of five years’ experience as an executive assistant to an executive director is required.
C. Reference Specialist
You’re responsible for providing support for reference services in the library system. The successful applicant must have a Master’s Degree in Library Science and a minimum of three years’ experience as a professional librarian.
D. Library Technician
We need a part-time library technician. Your position is responsible for library cataloging (编目录), binding, ordering publications, assisting in legal research. Both technical and reference services are required. The successful applicant should have a Library Technician diploma (文凭).
E. Circulation Director(发行总监)
We are looking for a circulation director. The successful applicant must have good managing skills, including the ability to assign tasks to ensure the work of the circulation department is done to the highest standard. A sales experience of at least ten years is needed.
F. Computer & Network Assistant
This position is responsible for the activities related to the use of automated (自动化的) systems. Duties include installing (安装), repairing and updating software and hardware. A driver’s license is necessary.
第二节:以下第81至85题是五个应聘者的信息。请阅读A至F职位招聘的信息,选出符合他们要求的最佳选项。选项中有一项是多余选项。(答案写在答题卷上)
______ 81. Elizabeth Nagata.
Elizabeth once studied in a secretarial program when she was at university. She has worked in Sumitomo Corporation as an executive assistant for eight years.
______ 82.James Florian.
James once worked as a salesperson and served as the director of new home sales in both Forest Lakes and Glenmore for three years. He can speak excellent German and English, and he is very good at dealing with people.
______ 83.Arthur Smith.
Arthur, a 22-year-old boy, has just graduated from college. He’s got a diploma in Library Technician Program. Wishing to have some free time, he doesn’t want to work full time.
______ 84. Gillian Anderson.
Gillian graduated from the University of Manchester and got a Master’s Degree in Library Science five years ago. As soon as she left school, she worked in St. Bride Printing Library as a librarian. Now she is skilled in dealing with almost everything in the library system.
______ 85.Jerome Fingelhamm.
Jerome, aged 32, majored in computer science when he was at university. He has worked in a software company for six years and is an expert at both software and hardware. He got a driver’s license when he was eighteen years old.
Sales Executive
We are looking for intelligent sales staff for our ever-growing team. Applicants must have at least one year sales experience, knowledge of English language publications and media, good English and social skills.
B. Executive Assistant Vancouver
Island Regional Library (VIRL) has an opportunity for an executive assistant. A diploma in Business Administration or a secretarial program is needed. A minimum (最小值) of five years’ experience as an executive assistant to an executive director is required.
C. Reference Specialist
You’re responsible for providing support for reference services in the library system. The successful applicant must have a Master’s Degree in Library Science and a minimum of three years’ experience as a professional librarian.
D. Library Technician
We need a part-time library technician. Your position is responsible for library cataloging (编目录), binding, ordering publications, assisting in legal research. Both technical and reference services are required. The successful applicant should have a Library Technician diploma (文凭).
E. Circulation Director(发行总监)
We are looking for a circulation director. The successful applicant must have good managing skills, including the ability to assign tasks to ensure the work of the circulation department is done to the highest standard. A sales experience of at least ten years is needed.
F. Computer & Network Assistant
This position is responsible for the activities related to the use of automated (自动化的) systems. Duties include installing (安装), repairing and updating software and hardware. A driver’s license is necessary.
1.解析:
,故选A。
2.解析:抽取回族学生人数是
,故选B。
3.解析:由
,得
,此时
,所以,
,故选C。
4.解析:∵
∥
,∴
,∴
,故选C。
5.解析:设公差为
,由题意得,
;
,解得
或
,故选C。
6.解析:∵双曲线
的右焦点到一条渐近线的距离等于焦距的
,∴
,又∵
,∴
,∴双曲线的渐近线方程是
,故选D.
7.解析:∵
、
为正实数,∴
,∴
;由均值不等式得
恒成立,
,故②不恒成立,又因为函数
在
是增函数,∴
,故恒成立的不等式是①③④。故选C.
8.解析:∵
,∴
在区间
上恒成立,即
在区间
上恒成立,∴
,故选D。
9.解析:∵卷.files/image084.gif)
卷.files/image346.gif)
,∴此函数的最小正周期是
,故选C。
10.解析:如图,∵正三角形
的边长为
,∴
,∴
,又∵
,∴
,故选D。
11.解析:∵
在区间
上是增函数且
,∴其反函数
在区间上
是增函数,∴卷.files/image121.gif)
卷.files/image125.gif)
,故选A
12.解析:如图,①当
或
时,圆面
被分成2块,涂色方法有20种;②当
或
时,圆面
被分成3块,涂色方法有60种;
③当
时,圆面
被分成4块,涂色方法有120种,所以m的取值范围是
,故选A。
13.解析:将
代入
结果为
,∴
时,
表示直线
右侧区域,反之,若
表示直线
右侧区域,则
,∴是充分不必要条件。
14.解析:∵
,∴
时,
,又
时,
满足上式,因此,
。
15.解析:设正四面体的棱长为
,连
,取
的中点
,连
,∵
为
的中点,∴
∥
,∴
或其补角为
与
所成角,∵
,
,∴
,∴
,又∵
,∴
,∴
与
所成角的余弦值为
。
16.解析:∵
,∴
,∵点
为
的准线与
轴的交点,由向量的加法法则及抛物线的对称性可知,点
为抛物线上关于轴对称的两点且做出图形如右图,其中
为点
到准线的距离,四边形
为菱形,∴
,∴
,∴
,∴
,∴
,∴向量
与
的夹角为
。
17.(10分)解析:(Ⅰ)由正弦定理得,
,
,…2分
∴
,
,………4分
(Ⅱ)∵
,
,∴
,∴
,………………………6分
又∵
,∴
,∴
,………………………8分
∴
。………………………10分
18.解析:(Ⅰ)∵
,∴
;……………………理3文4分
(Ⅱ)∵三科会考不合格的概率均为
,∴学生甲不能拿到高中毕业证的概率
;……………………理6文8分
(Ⅲ)∵每科得A,B的概率分别为
,∴学生甲被评为三好学生的概率为
。……………………12分
19.(12分)解析:(Ⅰ)∵
,∴
,
,
,……………3分
(Ⅱ)∵
,∴卷.files/image484.gif)
,
∴
,卷.files/image490.gif)
卷.files/image486.gif)
又
,∴数列
自第2项起是公比为
的等比数列,………………………6分
∴
,………………………8分
(Ⅲ)∵
,∴
,………………10分
∴
。………………………12分
20.解析:(Ⅰ)∵
∥
,
,∴
,∵
底面
,∴
,∴
平面
,∴
,又∵
平面
,∴
,∴
平面
,∴
。………………………4分
(Ⅱ)∵
平面
,∴
,
,∴
为二面角
的平面角,………………………6分
,
,∴
,又∵
平面
,
,∴
,∴二面角
的正切值的大小为
。………………………8分
(Ⅲ)过点
做
∥
,交
于点
,∵
平面
,∴
为
在平面
内的射影,∴
为
与平面
所成的角,………………………10分
∵
,∴
,又∵
∥
,∴
和
与平面
所成的角相等,∴
与平面
所成角的正切值为
。………………………12分
解法2:如图建立空间直角坐标系,(Ⅰ)∵,
,∴点
的坐标分别是
,
,卷.files/image560.gif)
,∴
,
,设
,∵
平面
,∴
,∴
,取
,∴
,∴
。………………………4分
(Ⅱ)设二面角
的大小为
,∵平面
的法向量是
,平面
的法向量是
,∴
,∴
,∴二面角
的正切值的大小为
。………………………8分
(Ⅲ)设
与平面
所成角的大小为
,∵平面
的法向量是
,
,∴
,∴
,∴
与平面
所成角的正切值为
。………………………12分
21.解析:(Ⅰ)设抛物线方程为
,将
代入方程得卷.files/image600.gif)
所以抛物线方程为
。………………………2分
由题意知椭圆的焦点为
、
。
设椭圆的方程为
,
∵过点
,∴
,解得,
,
,
∴椭圆的方程为
。………………………5分
(Ⅱ)设
的中点为
,
的方程为:
,
以
为直径的圆交
于
两点,
中点为
。
设
,则卷.files/image632.gif)
∵
………………………8分
∴卷.files/image638.gif)
………………………10分
当
时,
,
,
此时,直线
的方程为
。………………………12分
22.(12分)解析:(Ⅰ)∵
是偶函数,∴
,
又∵
∴
,
,………………………2分
由
得,
,
∵
时,
;
时,
;
时,
;∴
时,函数
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