回複：如何證明1＝2

Let a and b each be equal to 1.

 

Since a and b are equal,

 

b² = ab                  (eq 1)

 

It is obvious that a² = a²                                 (eq 2)

 

Subtract equation 1 from equation 2, we have

 

a² – b² = a² – ab                 (eq 3)

 

Factor both sides, we have

 

(a + b)(a – b) = a(a-b)                     (eq 4)

 

Next, divide both sides of the equation 4 by (a – b) and we get

 

a + b = a               (eq 5)

 

Since we set a and b both equal to 1 at the beginning of this proof, so this means

 

1 + 1 = 1

 

Therefore, 1 = 2

 

QED.

所有跟帖： 

• a-b=0!! -lish- ♂ (0 bytes) () 11/13/2010 postreply 21:34:06

• 很有欺騙性啊，哈哈。 -寒風雪- ♂ (64 bytes) () 11/13/2010 postreply 21:35:46

• "divide both sides of Eq. 4 by (a – b)" only valide when a!=b. -coolwin- ♀ (0 bytes) () 11/13/2010 postreply 23:36:36

• 嗯...證法高明...讚! -季襄- ♂ (0 bytes) () 11/14/2010 postreply 00:29:57

• 我縂覺得這數學就是人自己繞騰自己，下個定理，再自圓其説。 -40- ♀ (0 bytes) () 11/14/2010 postreply 08:09:06

• 該證明詔告天下: 當無窮大時，1個單位和2個單位沒有差別。同理，易證1=3, … -無牙- ♂ (0 bytes) () 11/14/2010 postreply 08:17:05

• O(n)=O(cn) (c is any constant number) -nuxrl- ♂ (0 bytes) () 11/14/2010 postreply 08:40:10

• 大音希聲，大象無形。 -無牙- ♂ (0 bytes) () 11/14/2010 postreply 09:52:12

• 著哇 真理 您得多教育教育m們 -40- ♀ (0 bytes) () 11/14/2010 postreply 18:52:55

• 都笑無牙癲。 -無牙- ♂ (0 bytes) () 11/15/2010 postreply 02:44:41

• ：)))看過這個，用零當除數的效果。 -囫圇吞棗- ♀ (0 bytes) () 11/14/2010 postreply 09:58:44