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給出下列四個結論：①函數在其定義域內是增函數；②函數的最小正周期是2π；③函數的圖象關于直線對稱；④函數是偶函數.其中正確結論的序號是       .

（本題14分）設

（1）當時，求在處的切線方程；

（2）當時，求的極值；

（3）當時，求的最小值。

（本題12分）定義在R上的函數，已知在上有最小值3。

（1）求的單調區間；

（2）求在上的最大值。

第二節：以下是五個應聘者的信息。請閱讀A至F職位招聘的信息，選出符合他們要求的最佳選項。選項中有一項是多余選項。(答案寫在答題卷上)

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 (編目錄), binding, ordering publications, assisting in legal research. Both technical and reference services are required. The successful applicant should have a Library Technician diploma (文憑).

E. Circulation Director(發行總監)

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 (自動化的) systems. Duties include installing (安裝), repairing and updating software and hardware. A driver’s license is necessary.

以下是五個應聘者的信息。請閱讀A至F職位招聘的信息，選出符合他們要求的最佳選項。選項中有一項是多余選項。(答案寫在答題卷上)

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.

We need a part-time library technician. Your position is responsible for library cataloging (編目錄), binding, ordering publications, assisting in legal research. Both technical and reference services are required. The successful applicant should have a Library Technician diploma (文憑).

E. Circulation Director(發行總監)

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 (自動化的) systems. Duties include installing (安裝), repairing and updating software and hardware. A driver’s license is necessary.