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PP-T2-PS37

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PP-T2-PS37

帖子Huang Hsin-Yi » 2008-03-19 10:30

The funtion f is defined for all positive integers n by the following rule:f(n) is the number of positive integers each of which is less than n and has no positive factor in common with n other than 1.If P is any prime number then f(p)=?

Ans:P-1

不太懂這題在問?
答案po錯,已改
最后由 Huang Hsin-Yi 编辑于 2008-03-20 17:59,总共编辑了 3 次
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帖子sunnyblue13s » 2008-03-20 08:09

你的題目似乎有些錯誤....我幫你找出正確版的了~~也請你改一下標題吧...
Q37
The function f is defined for all positive integers n by the following rule: f(n) is the number of positive integers each of which is less than n and has no positive factor in common with n other than 1. If p is any prime number then f(p) =
(A) p - 1
(B) p - 2
(C)***
(D)***
(E) 2

假設可以將所有的正整數n對應到方程式f,f(n)是一個正整數,且f(n)小於n,又與n沒有除任何共同的正因數除了1.
假設P是任何的質數...則f(P)=?

f(P)<p (f(p),p)=1
p的最小值由2開始...f(p)=p-1=1(OK) if f(p)=p-2=0(NO)
把P其他可能的值代入式子....檢驗~~
f(p)=p-1
最后由 sunnyblue13s 编辑于 2008-03-21 08:27,总共编辑了 4 次
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帖子Huang Hsin-Yi » 2008-03-20 17:58

sunnyblue13s \$m[1]:你的題目似乎有些錯誤....我幫你找出正確版的了~~也請你改一下標題吧...
Q37
The function f is defined for all positive integers n by the following rule: f(n) is the number of positive integers each of which is less than n and has no positive factor in common with n other than 1. If p is any prime number then f(p) =
(A) p - 1
(B) p - 2
(C) p+1/2
(D) p-1/2
(E) 2

Ans:A

假設可以將所有的正整數n對應到f,方程式f(n)是一個正整數,但他小於n且沒有除任何的正因數除了1.
假如P是任何的質數...則f(P)=?


拜請大大解惑呀!!! :smile
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帖子sunnyblue13s » 2008-03-20 19:25

可以請問一下~~
你之前選的答案是哪一項嗎??
還有你的疑問點或算式是??
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帖子Huang Hsin-Yi » 2008-03-20 21:57

慘的是,我根本不曉得它在問什麼
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帖子sunnyblue13s » 2008-03-21 08:27

我已經在上面修改回覆了~~
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