Thách toàn MMO tìm ra nghịch lý trong bài này

[duck16]

0.333...cũng là số vô tỉ và cũng tương tự như bài 1

bác nào muốn chứng minh bài 2 sai thì cũng phải chứng minh bài 1 sai, vì từ bài 1 có thể suy ra bài 2, nếu bài 1 đúng thì bài 2 đúng, nếu bài 1 sai thì bài 2 sai:
ta có:
0.999... = 1(chứng minh ở bài 1)
=> 0.999.../3 = 1/3
=> 0.333... = 1/3

nên anh em kứ tập trung bài 1 đi đã =="

bài 1 giải rồi đó bác

 

[nambontn11]

Nó nói la chuyện của nó. còn bạn phải biết cái gì đúng cái gì sai chứ. Nếu bạn cho là bằng thì xin hay cho mình mấy con số sau dấu chấm vơi. =))

Những con số sau dấu chấm là 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999

 

[ct_ou]

Những con số sau dấu chấm là 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999

Bạn lấy hết những con số đó nhân với 3 thử bằng 1 không. Nếu bạn tính được bằng 1 thì mình công nhận bạn là Ngô Bảo Châu thứ hai đó

 

[quocphu2503]

Và cái này:
"10x-x=9x
=>9 x X= 9 x 0.999" là ko chính xác, phải là "0.999..." và khi đó 9 x 0.999... = 9
=> trở về bài toán ở page 1

Bạn này không hiểu mà cố nói thế nhĩ ,
X=0.9999....(n số 9)
10X-X=9X=9x0.999(n số 9)=> X =9x0.999(n số 9) / 9 = 0.999...(n số 9 )
Đấy bạn , không biết mà cố cãi quá , nếu bác nói mình sai tìm ra chỗ sai của cách giải trên

 

[nghiakvnvsdd]

Nó nói là chuyện của nó. còn bạn phải biết cái gì đúng cái gì sai chứ. Nếu bạn cho là bằng thì xin hay cho mình mấy con số sau dấu chấm với. =))

=)) nó nói là chuyện của nó nhưng nh~ cách chứng minh trước đó đã giúp cho nó ghi ra tức là đã qua 1 quá trình nghiên cứu của các nhà toán học chứ không có nói không như cậu đâu. Những số sau dấu , là vô hạn lần 9 hay còn được viết dưới dạng x,(9) (x thuộc R) chắc lúc cậu học lớp 7 hay ngủ gật lắm hihi.

 

[duck16]

Bạn lấy hết những con số đó nhân với 3 thử bằng 1 không. Nếu bạn tính được bằng 1 thì mình công nhận bạn là Ngô Bảo Châu thứ hai đó

Ngô Bảo Châu cũng không thể lấy hết những con số đó để tính:binhsua146:

 

[luuha]

làm gì có cái dụ 0.999.....= 1 được. Thằng thầy bà cô nào dám nói bằng.

cái này thường thôi mà 0.999... mà kể hết số chỗ "..." thì lim của số này bằng 1

cái này khác gì trái đất tròn nhưng mặt trái đất lại phẳng, đường tròn có bán kính = vô cùng thì khi đi trên trường tròn đó giống như đi trên đường thẳng

 

[nambontn11]

Nó nói là chuyện của nó. còn bạn phải biết cái gì đúng cái gì sai chứ. Nếu bạn cho là bằng thì xin hay cho mình mấy con số sau dấu chấm với. =))

ý bác là bác muốn phản biện lại Tính tổng của cấp số nhận lùi vô hạn do các nhà Toán học đã chứng minh và Wikipedia - Bách khoa toàn thư mở là sai okê

 

[clickdicung]

cha nội này chắc học dốt toán... số này là số nguyên còn số 0.9999..... là số thập phân cha nội... cách tính sao giống nhau dc.

cha nội đang ví dụ về dàn bài mà

 

[ct_ou]

=)) nó nói là chuyện của nó nhưng nh~ cách chứng minh trước đó đã giúp cho nó ghi ra tức là đã qua 1 quá trình nghiên cứu của các nhà toán học chứ không có nói không như cậu đâu. Những số sau dấu , là vô hạn lần 9 hay còn được viết dưới dạng x,(9) (x thuộc R) chắc lúc cậu học lớp 7 hay ngủ gật lắm hihi.

Vậy bạn đi hỏi một thầy một cô nào xem có ai dám phán 1 câu rằng 0.9999 = 1 không

 

[nambontn11]

Bạn lấy hết những con số đó nhân với 3 thử bằng 1 không. Nếu bạn tính được bằng 1 thì mình công nhận bạn là Ngô Bảo Châu thứ hai đó

Thứ 1: Nhầm đề 0.999... x3 tất nhiên là ko bằng 1 )
Thứ 2: Chứng minh bạn sai đi =))
(vì công thức của mình đã được các nhà Toán học trên thế giới chứng minh, Bộ GD&ĐT đã đưa vào chương trình giảng dạy, wikipedia cũng chứng thực điều đó)

 

[boybokdau]

Hoàn toàn sai bác ơi...
Bài toán này k có j là đúng cả.
Theo đề bài ta có...
VD x= 0.999 đi nha (cho dễ nhìn ))
10x=9.99 thôi k có chuyện 9.999 đâu nha...
như vậy là đủ hiểu là nó sai ở đâu rồi chứ các bác.
k có chuyện

x= 0.999.....
<=> 10x = 9.999....
<=> 10x - x = 9.999... - 0.999...
<=> 9x = 9
<=> x = 1
=> 0.999... = 1

mà là:
x=0.999
10x=9.99
<=> 10x-x=9.99-0.999=8.991

 

[quocphu2503]

Và cái này:
"10x-x=9x
=>9 x X= 9 x 0.999" là ko chính xác, phải là "0.999..." và khi đó 9 x 0.999... = 9
=> trở về bài toán ở page 1
Bạn này không hiểu mà cố nói thế nhĩ ,
X=0.9999....(n số 9)
10X-X=9X=9x0.999(n số 9)=> X =9x0.999(n số 9) / 9 = 0.999...(n số 9 )
Đấy bạn , không biết mà cố cãi quá , nếu bác nói mình sai tìm ra chỗ sai của cách giải trên ( bài 1 hiển nhiên sai rồi , cách tính không đúng)

Bài 2 đây
0.333... = 1/3
3 x 0.333... = 3/3
0.999... = 1
Lấy giới hạn của 2 vế lên thì nó bằng 1
lim0.999....=lim1 => 1=1 chính xác nhé

 

[nghiakvnvsdd]

Vậy bạn đi hỏi một thầy một cô nào xem có ai dám phán 1 câu rằng 0.9999 = 1 không

=)) cái này còn phải hỏi thầy cô của cậu. Bảo đảm họ sẽ phán những gì tớ đã phán, à không các nhà toán học trc' đã phán oke?

 

[ct_ou]

Thứ 1: Nhầm đề 0.999... x3 tất nhiên là ko bằng 1 )
Thứ 2: Chứng minh bạn sai đi =))
(vì công thức của mình đã được các nhà Toán học trên thế giới chứng minh, Bộ GD&ĐT đã đưa vào chương trình giảng dạy, wikipedia cũng chứng thực điều đó)

Sorry mình nhầm 0.3333... x3 không thể bằng 1 được

---------- Post added at 10:43 PM ---------- Previous post was at 10:42 PM ----------

=)) cái này còn phải hỏi thầy cô của cậu. Bảo đảm họ sẽ phán những gì tớ đã phán, à không các nhà toán học trc' đã phán oke?

Cho mình hỏi cụ thể tên của thằng "các nhà toán học' là thằng nào ?

 

[nambontn11]

Cho mình hỏi cụ thể tên của thằng "các nhà toán học' là thằng nào ?

Bạn chứng minh bạn sai đi đã =))

Bạn có biết bạn phải chứng minh điều đang được đưa vào giáo dục không..

 

[nghiakvnvsdd]

Sorry mình nhầm 0.3333... x3 không thể bằng 1 được

---------- Post added at 10:43 PM ---------- Previous post was at 10:42 PM ----------



Cho mình hỏi cụ thể tên của thằng "các nhà toán học' là thằng nào ?

các nhà toán học là thầy cô dạy bạn ấy và nh~ ng đi trc' ấy, những ng tạo ra bài toán tìm x, giải tích ấy. Nhưng vấn đề ở đây là bạn cố cãi, bạn đã nói xem coi hỏi có thầy cô nào dạy thế không mà? Vậy bạn thử đi hỏi các thầy cô dạy bạn xem nhé! bảo đảm bạn chưa từng hỏi về vụ này oke? Nếu đã hỏi rồi thì bạn sẽ không cố cãi vậy đâu.

 

[clickdicung]

Bạn này không hiểu mà cố nói thế nhĩ ,
X=0.9999....(n số 9)
10X-X=9X=9x0.999(n số 9)=> X =9x0.999(n số 9) / 9 = 0.999...(n số 9 )
Đấy bạn , không biết mà cố cãi quá , nếu bác nói mình sai tìm ra chỗ sai của cách giải trên

mình ko bảo bạn sai. Nhưng bạn nhân với 9 rồi lại chia cho 9 thì sao gọi là chứng minh được?

 

[hieudaica86]

Nào nào các bạn trẻ:
0.999.. là tổng của một cấp số nhân lùi vô hạn với số hạng đầu u(1)= 1/9 và công bội q= 1/10
=> 0.9999...= 9/10 + 9/10^2 + 9/10^3 + ...= (9/10)/ (1-1/10) =1
Okê
Bài toán ko sai ^^

Đáp án là đây !! Very good .. Cậu này chắc giỏi toán lắm nhỉ .. có nhận đệ tử ko cho mình 1 vé .. hjx :binhsua15:

 

[nghiakvnvsdd]

mình ko bảo bạn sai. Nhưng bạn nhân với 9 rồi lại chia cho 9 thì sao gọi là chứng minh được?

=)) cậu ấy đang cố chứng minh 1 định lý khi chia cho 1 số x thì nhân lại 1 số x sẽ ra chính = số ấy đó mà hahahaha