(Ⅰ)求的值,(Ⅱ)若有一科不合格.则不能拿到高中毕业证.求学生甲不能拿到高中毕业证的概率,(Ⅲ)若至少有两科得A.一科得B.就能被评为三好学生.则学生甲被评为三好学生的概率, 查看更多

 

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.

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(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).

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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.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.

 

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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.

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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.

 

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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,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:∵

,∴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,∴,故选A

12.解析:如图,①当时,圆面被分成2块,涂色方法有20种;②当时,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。

学科网(Zxxk.Com)14.解析:∵,∴时,,又时,满足上式,因此,

学科网(Zxxk.Com)15.解析:设正四面体的棱长为,连,取的中点,连,∵的中点,∴,∴或其补角为所成角,∵,∴,∴,又∵,∴,∴所成角的余弦值为

学科网(Zxxk.Com)16.解析:∵,∴,∵点的准线与轴的交点,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)∵,∴

,∴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,交于点,∵平面,∴在平面内的射影,∴与平面所成的角,………………………10分

学科网(Zxxk.Com),∴,又∵,∴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,∴,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

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:

为直径的圆交两点,中点为

,则

  

………………………8分

………………………10分

时,

此时,直线的方程为。………………………12分

22.(12分)解析:(Ⅰ)∵是偶函数,∴

又∵,………………………2分

得,

时,时,时,;∴时,函数