2020 DSE 数学-Mathematics 真题 答案 详解

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答案(中文)

評卷參考

本文件供閱卷員參考而設，並不應被視為標準答案。考生以及沒有參與評卷工作的教師在詳釋文件內容時應小心謹慎。

一般問卷原則

1. 評卷時，閱卷員須跟循評卷參考的分數標準給分，這是十分重要的。很多時考生會運用評卷參考以外的方 法而得到正確答案，一般來說，只要運用合理的方法而取得正確答案，該考生應可獲得該部分的所得分数（除題目特別指明特定方法外）。閱卷員應有耐性地評閱評卷參考以外的解題方法。

2. 在評卷參考中，分數會分為下列三類： 「M」分 使用正確方法的得分； 「A」分 正確答案的得分； 沒有「M」或「A」的分 正確地完成題目或推演得題目所给的答案的得分。 某些題目由數部分組成，而較後部分的答案卻需依賴較前部分所得的结果。在此情况下， 若考生因為前部分錯誤的結果而導致後部分的答案錯誤，但卻能運用正確的方法去解题， 則方法正確的步驟可给「M」分，而相應的答案將沒有「A」分（除特别指明外）。

3. 為方便閱卷員评卷，评卷参考已尽量详尽。当然，考生的答案多不会如评卷参考般清楚列 寫出來，诸如欠缺某個步骤或将步骤隱含於字裏行間。如遇到類似情况，阅卷员愿运用 他们的專業知識去判断是否给分。一般来说，如考生的答案顯示他已運用相關的概念或技巧，则该部分应予给分。

4. 评卷时遇有不清楚的地方，应以考生的利益为依据。

5. 评卷参考中，塗上阴影的部分代表可省略的步骤，有外框的部分代表運用不同方法的答案。所有分数答案必须化简。

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答案(英文)

香港考試及評核局
HONG KONG EXAMINATIONS AND ASSESSMENT AUTHORITY
2020年香港中學文憑考試
HONG KONG DIPLOMA OF SECONDARY EDUCATION EXAMINATION 2020

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服務合約條款及閱卷員指引。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。在邊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 service agreement 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
2020-DSE-MATH-CP 1-1

真题 Paper 1(中文)

真题 Paper 2(中文)

2020-DSE 數學 必修部分 卷二

香港考試及評核局 2020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) 詳讀答题紙上的指示。宣布開考後，考生須首先於適當位置貼上電腦條碼及填上各项所需资料。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，考生须检查试题有否缺漏，最後一题之后愿有「试卷完」字樣。 (三) 本试卷各题估分相等。 (四) 本试卷全部试题均须回答。为便于修正答案，考生宜用 HB 铅笔把答案填在答题纸上。錯誤答案可用潔淨膠擦將筆痕徹底擦去。考生须清楚填答答案，否则会因答案未能被辨認而失分。 (五) 每题只可填一个答案，若填多个答案，则该题不给分。 (六) 答案错误，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 2020

2020-DSE-MATH-CP 2-1

考试结束前不可将试卷带离考场

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真题 Paper 1(英文)

2020-DSE MATH CP PAPER 1

HONG KONG EXAMINATIONS AND ASSESSMENT AUTHORITY HONG KONG DIPLOMA OF SECONDARY EDUCATION EXAMINATION 2020

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 2020

2020-DSE-MATH-CP 1-1

• A O 3 0 E 0 0 1 *

真题 Paper 2(英文)

2020-DSE MATH CP PAPER 2
HONG KONG EXAMINATIONS AND ASSESSMENT AUTHORITY HONG KONG DIPLOMA OF SECONDARY EDUCATION EXAMINATION 2020

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.

© Hong Kong Examinations and Assessment Authority All Rights Reserved 2020
2020-DSE-MATH-CP 2-1
Not to be taken away before the end of the examination session
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