2014 DSE 数学-Mathematics 真题 答案 详解

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答案(中文)

機密（只限閱卷員使用） CONFIDENTIAL (FOR MARKER'S USE ONLY)

香港考試及評核局 HONG KONG EXAMINATIONS AND ASSESSMENT AUTHORITY 2014年香港中學文憑考試 HONG KONG DIPLOMA OF SECONDARY EDUCATION EXAMINATION 2014

數學 必修部分 試卷一 MATHEMATICS COMPULSORY PART PAPER 1

評卷參考 MARKING SCHEME

本評卷參考乃香港考試及評核局專為今年本科考試而編寫，供閱卷員參考之用。本評卷參考之使用，均受制於閱卷員有關之委任條款及閱卷員指引。特別是： - 本局擁有並保留本評卷參考的所有財產權利(包括知識產權)。在未獲本局之書面批准下，閱卷員均不得複製、發表、透露、提供、使用或經營本評卷參考之全部或其部份。在遵守上述條款之情况下，本局有限地容許閱卷員可在應屆香港中學文憑考試的考試成績公布後，將本評卷參考提供任教本科的教師參閱。 - 在任何情況下，均不得容許本評卷參考之全部或其部份落入學生手中。本局續請各閱卷員/教師通力合作，堅守上述原則。

This marking scheme has been prepared by the Hong Kong Examinations and Assessment Authority for the reference of markers. The use of this marking scheme is subject to the relevant appointment terms and Instructions to Markers. In particular: - The Authority retains all proprietary rights (including intellectual property rights) in this marking scheme. This marking scheme, whether in whole or in part, must not be copied, published, disclosed, made available, used or dealt in without the prior written approval of the Authority. Subject to compliance with the foregoing, a limited permission is granted to markers to share this marking scheme, after release of examination results of the current HKDSE examination, with teachers who are teaching the same subject. - Under no circumstances should students be given access to this marking scheme or any part of it. The Authority is counting on the co-operation of markers/teachers in this regard.

©香港考試及評核局保留版權 Hong Kong Examinations and Assessment Authority All Rights Reserved

2014-DSE-MATH-CP 1-1

答案(英文)

機密（只限閱卷員使用）

CONFIDENTIAL (FOR MARKER'S USE ONLY)

香港考試及評核局

HONG KONG EXAMINATIONS AND ASSESSMENT AUTHORITY

2014年香港中學文憑考試

HONG KONG DIPLOMA OF SECONDARY EDUCATION EXAMINATION 2014

數學 必修部分 試卷一

MATHEMATICS COMPULSORY PART PAPER 1

評卷參考

MARKING SCHEME

本評卷參考乃香港考試及評核局專為今年本科考試而編寫，供閱卷員參考之用。本評卷參考之使用，均受制於閱卷員有關之委任條款及閱卷員指引。特別是：

• 本局擁有並保留本評卷參考的所有財產權利(包括知識產權)。在未獲本局之書面批准下，閱卷員均不得複製、發表、透露、提供、使用或經營本評卷參考之全部或其部份。在遵守上述條款之情况下，本局有限地容許閱卷員可在應屆香港中學文憑考試的考試成績公布後，將本評卷參考提供任教本科的教师参阅。

• 在任何情況下，均不得容許本評卷參考之全部或其部份落入學生手中。本局續請各閱卷員/教師通力合作，堅守上述原则。

This marking scheme has been prepared by the Hong Kong Examinations and Assessment Authority for the reference of markers. The use of this marking scheme is subject to the relevant appointment terms and Instructions to Markers. In particular:

• The Authority retains all proprietary rights (including intellectual property rights) in this marking scheme. This marking scheme, whether in whole or in part, must not be copied, published, disclosed, made available, used or dealt in without the prior written approval of the Authority. Subject to compliance with the foregoing, a limited permission is granted to markers to share this marking scheme, after release of examination results of the current HKDSE examination, with teachers who are teaching the same subject.

• Under no circumstances should students be given access to this marking scheme or any part of it. The Authority is counting on the co-operation of markers/teachers in this regard.

©香港考試及評核局保留版權

Hong Kong Examinations and Assessment Authority

All Rights Reserved

2014-DSE-MATH-CP 1-1

真题 Paper 1(中文)

真题 Paper 2(中文)

2014-DSE 數學 必修部分 卷二 MC

香港考試及評核局 2014年香港中學文憑考試

數學 必修部分 試卷二

一小時十五分鐘完卷 (上午十一時三十分至下午十二時四十五分)

考生須知 (一)細讀答题紙上的指示。宣布開考後，考生须首先於適當位置貼上電腦條碼及填上各項所需資料。宣布停筆後，考生不會獲得額外時間貼上電腦條碼。

(二)試場主任宣布開卷後，考生須检查试题有否缺漏，最後一题之后應有「試卷完」字樣。

(三)本试卷各題估分相等。

(四)本试卷全部试题均须回答。為便於修正答案，考生宜用HB鉛筆把答案填畫在答題紙上。錯誤答案可用潔淨膠擦將筆痕徹底擦去。考生須清楚填畫答案，否則會因答案未能被辨認而失分。

(五)每题只可填一个答案，若填多個答案，則該題不给分。

(六)答案錯誤，不另扣分。

©香港考試及評核局保留版權 Hong Kong Examinations and Assessment Authority All Rights Reserved 2014

2014-DSE-MATH-CP 2-1

考試結束前不可 將試卷攜離試場

真题 Paper 1(英文)

2014-DSE MATH CP PAPER 1

HONG KONG EXAMINATIONS AND ASSESSMENT AUTHORITY HONG KONG DIPLOMA OF SECONDARY EDUCATION EXAMINATION 2014

MATHEMATICS Compulsory Part PAPER 1 Question-Answer Book

8:30 am - 10:45 am (2¼ hours)

This paper must be answered in English

INSTRUCTIONS

1. After the announcement of the start of the examination, you should first write your Candidate Number in the space provided on Page 1 and stick barcode labels in the spaces provided on Pages 1, 3, 5, 7, 9 and 11.

2. This paper consists of THREE sections, A(1), A(2) and B.

3. Attempt ALL questions in this paper. Write your answers in the spaces provided in this Question-Answer Book. Do not write in the margins. Answers written in the margins will not be marked.

4. Graph paper and supplementary answer sheets will be supplied on request. Write your Candidate Number, mark the question number box and stick a barcode label on each sheet, and fasten them with string INSIDE this book.

5. Unless otherwise specified, all working must be clearly shown.

6. Unless otherwise specified, numerical answers should be either exact or correct to 3 significant figures.

7. The diagrams in this paper are not necessarily drawn to scale.

8. No extra time will be given to candidates for sticking on the barcode labels or filling in the question number boxes after the ‘Time is up’ announcement.

© Hong Kong Examinations and Assessment Authority All Rights Reserved 2014

2014-DSE-MATH-CP I-I

• A O 3 0 E 0 0 1 *

真题 Paper 2(英文)

2014-DSE MATH CP PAPER 2 MC HONG KONG EXAMINATIONS AND ASSESSMENT AUTHORITY HONG KONG DIPLOMA OF SECONDARY EDUCATION EXAMINATION 2014 MATHEMATICS Compulsory Part PAPER 2 11:30 am – 12:45 pm (1¼ hours)

INSTRUCTIONS 1. Read carefully the instructions on the Answer Sheet. After the announcement of the start of the examination, you should first stick a barcode label and insert the information required in the spaces provided. No extra time will be given for sticking on the barcode label after the ‘Time is up’ announcement. 2. When told to open this book, you should check that all the questions are there. Look for the words ‘END OF PAPER’ after the last question. 3. All questions carry equal marks. 4. ANSWER ALL QUESTIONS. You are advised to use an HB pencil to mark all the answers on the Answer Sheet, so that wrong marks can be completely erased with a clean rubber. You must mark the answers clearly; otherwise you will lose marks if the answers cannot be captured. 5. You should mark only ONE answer for each question. If you mark more than one answer, you will receive NO MARKS for that question. 6. No marks will be deducted for wrong answers.

香港考試及評核局保留版權 Hong Kong Examinations and Assessment Authority All Rights Reserved 2014 Not to be taken away before the end of the examination session 2014-DSE-MATH-CP 2-1 1