一題maths [復制鏈接]

小學既數學腦筋未出，依家想玩已經太遲

引用第8樓someone於2007-03-27 01:03發表的“”:
partial fraction 呀= =
我都唔會用呢招啦....
小六會識咩?

技巧上係用partial fraction, 但係個問題無標明1+(1/1 x 1/2)+(1/2 x 1/3)+....


咁有無人幫我做下呢題

Find a positive integer n less than 2006 such that 2006n is a multiple of 2006+n

Find a positive integer n less than 2006 such that 2006n is a multiple of 2006+n

2006n = k (2006+n)

1 = k (1/n+1/2006)

1/k - 1/n = 1/2006

---------------------

2006 = 2 x 17 x 59

Since 1/34 - 1/59 = 25/2006

So 1/850 - 1/1475 = 1/2006

---------------

Hence take n =1475

引用第32樓kylau於2007-04-04 20:47發表的“”:
Find a positive integer n less than 2006 such that 2006n is a multiple of 2006+n
2006n = k (2006+n)
1 = k (1/n+1/2006)
.......

點解你咩都識

好似冇野難到你咁

引用第32樓kylau於2007-04-04 20:47發表的“”:
Find a positive integer n less than 2006 such that 2006n is a multiple of 2006+n
2006n = k (2006+n)
1 = k (1/n+1/2006)
.......

唔該晒

有無邊本書for MO係比較好? 我而家仲有好多技巧未摸清

我ｏ既ｐｕｒｅ　ｍａｔｈ　ｃ，．．．．已經唔存在啦
乜都唔記得晒，考返ｅ都未必得

引用第34樓rubbish於2007-04-05 08:31發表的“”:
唔該晒 [表情]
有無邊本書for MO係比較好? 我而家仲有好多技巧未摸清

Maths Olympiad?

http://www.kalva.demon.co.uk/imo.html

書我唔知啦

引用第15樓迪克於2007-03-27 01:47發表的“”:
奧數好多數都好深的說
我不知這是否奧數題目
但說小六生能於三分鐘內完成
.......

yup...
for P.6 learning Olympic Maths...
3 minutes is too much for them to do...

further Q:

1/3 + 1/15 + 1/35 + 1/63 + 1/99 + 1/143 + 1/195 + 1/255 + 1/323 + 1/399

1/21