[PDF] Top 20 2001TRML個人賽之解法

... 會主辦的 TRML 競賽在台灣大學、國立台灣 科技大學、國立台北商業技術學院及市立金 華國民中學熱鬧展開，當時吸引全台灣多所 高中學生參加，本人當時帶領學生參加此競 賽，回來後，為了增進學生對於數學競賽的 興趣，針對個人賽的部分進行解法研討，發 現當時每兩個題目只能做 10 分鐘，和之後研 ... See full document

... 允許學生個人、非營利性的圖書館或公立學校合理使用 本基金會網站所提供之各項試題及其解答。可直接下載 而不須申請。 重版、系統地複製或大量重製這些資料的任何部分，必 須獲得財團法人臺北市九章數學教育基金會的授權許 可。 ... See full document

... If (1) occurs, then Anna wins, and if (2) occurs, then Boris wins, regardless of the outcome of Boris’ last toss.. If (3) occurs, then the winner will be decided by the outcome of Bori[r] ... See full document

... Deduced that the numbers on the diagonal should all be 11 and arrived with the correct answer, or correct answer only (without any explanation), 5 marks. In the figure below, ABCD is [r] ... See full document

... On the second day, the youngest brother divided all the remaining candies into five equal parts with one remaining candy, and then this youngest brother took two parts.. On the third d[r] ... See full document

... The four lines from the top vertex divide the triangle into five narrow triangles with same area. The three lines parallel to the base divide the triangle into four horizontal strips[r] ... See full document

... In this case, there are 3 ways to choose the column to colour the 2 squares, and 2 ways to choose which one gets the other coloured square. Then there are 3 ways to choose which row th[r] ... See full document

... cubes such that each cube shares a common face with exactly three cubes of the opposite colour.. Solution.[r] ... See full document

... What is the minimum number of weightings needed to find the fake marble and determine whether the fake marble is heavier or lighter than the real marble. Explain your answer.[r] ... See full document

... Proper reasoning for the rest of the countries based on restrictions of already fixed colors up to 10 pts (here partial credits will be given based on the progress). Finding the corr[r] ... See full document

... Since A starts in an odd-numbered place and trades places an odd number of times, he must finish in an even-numbered position.. Since B starts in an even-numbered place and trades pla[r] ... See full document

... For problems involving more than one answer, points are given only when ALL answers are correct.. Each question is worth 5 points.[r] ... See full document

... For problems involving more than one answer, points are given only when ALL answers are correct.. Each question is worth 5 points.[r] ... See full document

... For problems involving more than one answer, points are given only when ALL answers are correct.. Each question is worth 5 points.[r] ... See full document

... 礎。新的三家固網業者自 2001 年已推出 ADSL 寬頻服務，但是他們 個別的戶數雖然不多。根據經濟部技術處委託資策會 ECRC-FIND 研 究群所進行的「我國網際網路用戶數調查統計」顯示，截至 2003 年 3 月底為止，中華電信、三家新的固網業者、SeedNet 及其他 ISP 業 者的 ADSL 訂戶加在一起已有 ... See full document

... You are allowed 90 minutes for this paper, consisting of 8 questions to which only numerical answers are required.. Each question is worth 10 points.[r] ... See full document

... 編 號 學 校 姓 名 自選曲 作曲/作詞/編曲 1 縣立土庫國中 王浩澤 鵝鑾鼻之春(選段） 盧亮輝/無/無 2 縣立土庫國中 吳宣鋒 火車進侗鄉 伊永仁，張大森/無/無 3 私立東南國中(代 ... See full document

... On the second day, the youngest brother divided all the remaining candies into five equal parts with one remaining candy, and then this youngest brother took two parts.. On the third d[r] ... See full document

... □設籍本市 4 個月以上。 □具原住民籍身分（不需繳驗戶籍謄本或戶口名簿至本府原民局） 。 □具有正式學籍者且現就讀該校之在學學生。 符合獎勵資格基準（申請者僅能擇一申請，並不得與團體競賽項目重複）： ... See full document

... The sum of all the numbers above the main diagonal (diagonal from the top-left cell to the bottom-right cell) is equal to three times the sum of all the numbers below the main diagonal[r] ... See full document