1与0.9999....(无限循环)比较大小

到底是哪个大呢 是不是很纠结啊:58ouuoia:58ouuoia:58ouuoia:58ouuoia

甘幼稚噶= =

高等数学中不是说无限接近就等于那个数..
我的理解是一样大。。

即使相差0.000000.。。。。。。。。。。。。。1啊。。都系1大啦

选一好了..我没学过高等数学..

4舍5入...一样大

随便吧。。。

随便吧。。。
琪琪 发表于 2009-8-15 19:54 历史图片暂不可用

琪琪...今日厉害哦..

不知道哎…

不知道哎…
小健 发表于 2009-8-15 20:02 历史图片暂不可用

......................
楼上...
一斤棉花和一斤铁...
什么重?

......................
楼上...
一斤棉花和一斤铁...
什么重?
贤./小 发表于 2009-8-15 20:05 历史图片暂不可用

俾LX噶答里好过啦~~
一样大噶！
西西~~

1=1/3*3
1/3=0.33333333(循环）
所以1=0.999999999999（循环）

1=1/3*3
1/3=0.33333333(循环）
所以1=0.999999999999（循环）
qwertyasdfgh 发表于 2009-8-15 20:09 历史图片暂不可用

好一个歪理...
我喜欢哦...

好一个歪理...
我喜欢哦...
贤./小 发表于 2009-8-15 20:21 历史图片暂不可用

其实12楼乃正解

1吧吧吧吧.................:16ouuoia

同理 。。。 1／3＝0.3333..... 2/3=0.6666.... 1/3+2/3=1=0.9999...
同理....... 0.9999...../10=0.0999..... 0.0999....+0.9=0.9999... x/10+0.9=X x=1

...嗯嗯...
受教了...

SB问题~

LS你怎么还选错啊:10ouuoia

本帖最后由 yuweui 于 2009-8-15 23:08 编辑

:15ouuoia其實把1四捨五入得0.再把0.9999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999四捨五入也得0.
所以兩個一樣大的!

= =我记得那里听说过在高数（还是微积分？）里认为是一样大的……
在哪里呢……
忘了……
老了……

谁跟你耍高数，小学生都知道1大。

谁跟你耍高数，小学生都知道1大。
Eden。 发表于 2009-8-15 11:49 PM 历史图片暂不可用

直观得来又够串~~:16ouuoia

谁跟你耍高数，小学生都知道1大。
Eden。 发表于 2009-8-15 23:49 历史图片暂不可用

貌似小学一二年级还没学小数。。。。

24# 琪琪

在实数的定义内，如果A>B,则必定存在一个实数C，使得A>C>B。

假设A=1,B=0.99999999999（循环），在1与0.999999999(循环)之间并不能举例出一个实数C，使得1>C>0.99999(循环）。
故1与0.99999999999（循环）之间并不存在实数C
所以A>B命题不成立
同理可以证明B>A命题也不成立
所以实数A=B
即1与0.999999999（循环）相等

一样大。。。

:30ouuoia 路过……

24# 琪琪

在实数的定义内，如果A>B,则必定存在一个实数C，使得A>C>B。

假设A=1,B=0.99999999999（循环），在1与0.999999999(循环)之间并不能举例出一个实数C，使得1>C>0.99999(循环）。
故1与0.9999999999 ...
灵魂工程师 发表于 2009-8-16 00:08 历史图片暂不可用

劲吖`

24# 琪琪

在实数的定义内，如果A>B,则必定存在一个实数C，使得A>C>B。

假设A=1,B=0.99999999999（循环），在1与0.999999999(循环)之间并不能举例出一个实数C，使得1>C>0.99999(循环）。
故1与0.9999999999 ...
灵魂工程师 发表于 2009-8-16 00:08 历史图片暂不可用

:22ouuoia 正解

去新東方補數學的時候
一個老師說過。。。

但是答案，忘暸～
:16ouuoia