為什麼不能除以零?

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  • Опубликовано: 28 дек 2024

Комментарии • 169

  • @blackpenredpen
    @blackpenredpen  2 года назад +3

    除以零 (從幼稚園到研究所)
    ruclips.net/video/bIC0N14U-ew/видео.html

  • @alejandroalvarez4814
    @alejandroalvarez4814 6 лет назад +13

    How much maths to speak this language

  • @侯俊豪-e9l
    @侯俊豪-e9l Год назад +2

    我喜歡這段影片😘有實際具體的演算可以解釋為何不能除以零,有瞬間頓悟的感覺

  • @xuanjing6726
    @xuanjing6726 4 года назад +2

    我赞同,不喜欢“就是不能除以0啊”,喜欢解释和理解的教法。
    在此分享第三种解释方法:分母和分子是一样的数字的话(比如3分之3)就是1,但是只有0分之0不等于1,所以分母不能是0。
    网络上很多证明0=1or1=2的影片,其中的错误就是不能约掉未知数,因为可能是0。

  • @daniilorain8830
    @daniilorain8830 6 лет назад +15

    Isn’t RUclips blocked in China?

    • @humanppplus4306
      @humanppplus4306 6 лет назад +8

      Un Garçon
      1. RUclips is blocked in mainland China, but in other parts of China (Taiwan, Hong Kong, Macau), RUclips is not blocked.
      2. In mainland China, ppl can use VPN to access youtube.
      3. A lot of people in southeast Asia speak Chinese.

    • @EricTai845
      @EricTai845 6 лет назад +6

      I'm sure he is in Taiwan. They have no problem with accessing RUclips.

    • @daniilorain8830
      @daniilorain8830 6 лет назад

      The government of China invests a lot of money to "internet-security" and they block connection which is hard or impossible to detect or decipher so there is big problem with using VPN in China

    • @humanppplus4306
      @humanppplus4306 6 лет назад

      Un Garçon well i am a chinese

    • @daniilorain8830
      @daniilorain8830 6 лет назад

      i am you re some super mega hacker

  • @DanielFBest
    @DanielFBest 6 лет назад +18

    One day I will learn Chinese

  • @星羽蓝
    @星羽蓝 Год назад +1

    博主老师,您所说的“长大后,越来越懂事后”指的是在大学学了高等代数之后,学习了如何证明“在代数运算中,只有0不能做被除数”,才解开了这个小时候令你伤心的疑惑吗?因为我是一个普通的大一新生(才刚开始学高等代数),还没有办法真真实实的去解开这个也令我非常在意的疑惑,我很想知道您的回答,很想知道关于这一证明是否会在我的大学时期得到严谨的证明(我的专业是应用统计学)。

  • @MR-lf3ic
    @MR-lf3ic 10 месяцев назад

    正解,除法是乘法的逆运算。找不到一个数和0相乘等于7.老师用这个做对比很直观,更容易理解。

  • @scocial6971
    @scocial6971 3 года назад +1

    你就先assume。。 你就要去。。。assume xd
    太好笑 太可愛了!
    你的學生一定都很幸福。@@
    還真希望你是我老師呢!
    anyway 很喜歡你的片! ^^

  • @calvingarden8902
    @calvingarden8902 2 года назад +1

    0 X8 =0 X2 ------
    --- --- 0
    0 0 ------
    原因是因為0×8等於零, 0×2等於0 ,然後兩個都是一樣的因為這樣就變成0/0

  • @jamieee472
    @jamieee472 6 лет назад +3

    曹老师好!下个video可不可以解释怎么证明:
    如果 x_1, x_2, x_3, x_4, x_5 & x_6 都是 positive real number, 那
    (x_2/x_1)^5 + (x_4/x_2) + (x_6/x_3) + (x_1/x_4) + (x_3/x_5) + (x_5/x_6) ≥ (x_1/x_2) + (x_2/x_4) + (x_3/x_6) + (x_4/x_1) + (x_5/x_3) + (x_6/x_5)
    谢谢您曹老师! 我名叫刘佶沅,来自新加坡,所以我不用繁体中文字,对不起。我13岁,但是因为您的videos, 我已经学会了围分与积分,谢谢!♡

  • @TheKanal
    @TheKanal 6 лет назад +5

    Where is eng subtitles. Oh sry you were not using subtitles in any video.

    • @blackpenredpen
      @blackpenredpen  6 лет назад +6

      I have this in Eng already. See description : )

    • @TheKanal
      @TheKanal 6 лет назад +1

      blackpenredpen thx i thought there was no eng mb sry

    • @einsteingonzalez4336
      @einsteingonzalez4336 6 лет назад

      If you speak Japanese, you might understand Chinese a bit easier!

    • @guisilva9815
      @guisilva9815 6 лет назад

      Einstein Gonzalez Chinese language is not equal to Japanese

    • @einsteingonzalez4336
      @einsteingonzalez4336 6 лет назад +3

      That's true, but Japanese is similar to Chinese, just that while the words are pronounced differently, the only thing that Japanese and Chinese have in common is that one particular writing system, the Japanese Kanji system, although pronounced differently, they have nearly the same characters as the Chinese Hanzi system. And yes, you might see some Chinese characters that are not kanji, and that some Japanese kanji are invented, not from the Chinese Hanzi system. Some Chinese characters are similar to kanji, but some are written in a different way, so yes, Chinese is different from Japanese, but they're similar to just the writing systems. You will see most of the kanji to be same as the Chinese characters, that's one of the reasons why it's recommended to start from Japanese, and then learn Chinese.

  • @cyk80
    @cyk80 9 месяцев назад

    感謝老師分享 淺顯易懂 好讚阿

  • @ДимитрийЧжаннов
    @ДимитрийЧжаннов 2 года назад +1

    用零除以零等于几呢?

  • @wenhanzhou5826
    @wenhanzhou5826 6 лет назад +2

    You can prove with limits combined with graph that dividing with 0 will result in +- infinity.

  • @omerangi4695
    @omerangi4695 6 лет назад +6

    我从你的视频学习中文...
    只是开玩笑,它是谷歌翻译

  • @stef_wp6550
    @stef_wp6550 6 лет назад +6

    I understand every single word you say, just trust me

  • @lucashoffses9019
    @lucashoffses9019 6 лет назад +4

    I watched this video even though I barely know any chinese. I still understood what he was saying through the math on the board.

  • @MannImAnzug
    @MannImAnzug 6 лет назад +3

    分母0是奇點,要挖掉或給某個定義(有界?)不然沒法算

  • @码仔
    @码仔 2 года назад +1

    老师老师,为啥0不能除以0呢XD

  • @slayer41126
    @slayer41126 6 лет назад

    第二个解释我更喜欢 :3 更严谨。我也帮你写了英语字幕请看看!如果翻译的不正确的话,让我提前抱歉;汉语不是我母语。

  • @16.方翊安
    @16.方翊安 11 месяцев назад

    講的好 用各種方法講解瞬間頓悟

  • @OonHan
    @OonHan 6 лет назад +11

    3:22 undefined? or UNDIFOUND? #YAY

  • @雪林-q2o
    @雪林-q2o 22 дня назад

    我是學生問我這個問題 不知道怎麼說明 就找到這個影片了 謝謝分享

  • @shukradityabose7131
    @shukradityabose7131 6 лет назад +4

    ##YAY#YAY#YAY#YAY I GOT NO IDEA WAS GOING ON COZ ITS CHINESE, bUT SINCE I LOVE THE CHANNEL SO MUCH, I AM HERE!

  • @parthparmar583
    @parthparmar583 6 лет назад

    Sir i want to get the integration of sqrt (a^3 + x^3)dx

  • @ranjanadas3347
    @ranjanadas3347 6 лет назад

    Is it true that a÷bc=ac÷b ?
    I am confused with the problem 6÷2(1+2).
    According to our current textbook and my scientific calculator, it is 1. But Google says, it is 9. Can you please tell me?

    • @petechen794
      @petechen794 Год назад

      Because calculator used postfix expression, but Google uses general arithmetic expression calculation

  • @dyweilee1247
    @dyweilee1247 6 лет назад

    Hi can u solve e^x=sinx without drawing a graph and finding x value

    • @reetasingh1679
      @reetasingh1679 6 лет назад

      Lee Dywei There are no elementary functions through which you can isolate x. So really the best bet is to use the graph

  • @alwysrite
    @alwysrite 6 лет назад

    you tube is not available in China so wondering if you had enough audience for mandarin ?

  • @xuanjing6726
    @xuanjing6726 4 года назад

    老师我有个问题,2:10 如果是0➗0,用如图的直式,多少乘0会等于0呢?答案是0。可以诶?那不是可以0➗0了吗

    • @2070user
      @2070user 3 года назад +3

      但是其實1也可以
      1乘0會等於0
      2乘0會等於0
      -100乘0會等於0
      √31乘0會等於0
      π乘0會等於0
      所以你會發現其實所有數字都是0÷0的答案,但這就是問題所在了。
      在之前那些35÷7和7÷5,我們只有一個答案,但是對於0÷0卻有無限多個答案,這豈不是另一個更嚴重的問題嗎?

    • @張舜祺
      @張舜祺 2 года назад

      @@2070user 那甚麼時候0除以0會成立呢?

    • @2070user
      @2070user 2 года назад +2

      @@張舜祺 當取極限時,0÷0便有「新的意義」
      如lim x→0 (x/x) = 1
      則0÷0「等於」1
      又如lim x→0 (10x/x) = 10
      則0÷0「等於」10
      可見儘管在取極限,0÷0依然有無限多的答案
      但至少0÷0在取極限時有「更嚴謹」的定義

    • @張舜祺
      @張舜祺 2 года назад

      @@2070user 0*8=0*2 甚麼時候可以把0拿掉

    • @2070user
      @2070user 2 года назад

      @@張舜祺 這個例子就不行了,否則會得出8=2。
      可見若÷0這個動作是可行的,則會違反很多已定下的axiom和theorem,如得出1=2這個謬論。

  • @soufian2733
    @soufian2733 6 лет назад +1

    Is this Chinese??

  • @sammyleung719
    @sammyleung719 2 года назад +1

    除字寫錯了啦。右邊那個是“余“不是“佘“了,那一棟是要到頂的。

    • @吃了妳
      @吃了妳 Год назад

      人家在講數學,數學已經是文字,你所謂的中英文只不過是方便你們這些人了解而已

    • @sammyleung719
      @sammyleung719 Год назад

      @@吃了妳 提醒一下而已嘛
      我也想曹老師中文可以有進步吧

  • @egilsandnes9637
    @egilsandnes9637 6 лет назад +2

    I did not understand, isn't it?

  • @金恩希-c1i
    @金恩希-c1i 3 года назад +1

    所以0可以除以0嗎?
    0/0=Any number
    (Yes/No)?

    • @鄭雷丘-l4g
      @鄭雷丘-l4g 2 года назад

      0/0算不定型 通常拿來求極限

  • @ichbinnichthanszimmer6005
    @ichbinnichthanszimmer6005 2 года назад +1

    演算法帶我回來這裡

  • @dickytw
    @dickytw 4 года назад

    可不可以講解下80除以5呀?

  • @wenhanzhou5826
    @wenhanzhou5826 6 лет назад +2

    听到中文好亲切啊。

  • @15schaa
    @15schaa 6 лет назад +3

    Captions required! #YAY!

  • @vapenation7061
    @vapenation7061 6 лет назад +1

    3:22 the only thing i understood from the whole video lol

  • @jacobsmusic4186
    @jacobsmusic4186 6 лет назад

    我喜歡你講中文 ;)

  • @davedonnie6425
    @davedonnie6425 6 лет назад +3

    The answer is 🅱.

  • @manu_j_
    @manu_j_ 6 лет назад

    Blackpenredpen have you ever been to Italy?

    • @blackpenredpen
      @blackpenredpen  6 лет назад +1

      manu no. Why?

    • @manu_j_
      @manu_j_ 6 лет назад

      blackpenredpen Oh nothing, I'm from Italy however

  • @DJUniverse1
    @DJUniverse1 6 лет назад +9

    Why not in English

  • @michaelwpannekoek
    @michaelwpannekoek 6 лет назад +7

    7 / 0 = :(

  • @owen810060
    @owen810060 5 лет назад +1

    你不講中文 我以為你是新加坡人...

  • @rachelgao9961
    @rachelgao9961 6 лет назад +2

    除字写错了😂

  • @gracez9824
    @gracez9824 6 лет назад +3

    哇啊啊啊 中文视频!

  • @PhasmidTutorials
    @PhasmidTutorials 6 лет назад +5

    Oh man, sadly I don't spead danish :(

  • @ViAikBreeck
    @ViAikBreeck 6 лет назад

    亢請加戶加隧攴院亖倉丒能名發 對。厼院願微能?

    • @humanppplus4306
      @humanppplus4306 6 лет назад +1

      ViAik Breeck 你在说啥啊。。。
      as a chinese i understand nothing from what u said

    • @ViAikBreeck
      @ViAikBreeck 6 лет назад

      It's a regional dialect

  • @vladniculescu674
    @vladniculescu674 6 лет назад +3

    Can you teach us Chinese ?

  • @c0t556
    @c0t556 6 лет назад +2

    I like your Taiwanese accent

  • @TPvlog99
    @TPvlog99 6 лет назад +1

    说中文帅气很多😎

  • @edishasanov4716
    @edishasanov4716 6 лет назад

    Didnt understand a single word still loved it

  • @weijun508
    @weijun508 Год назад

    很多數學理論的基礎

  • @bryangohmppac6417
    @bryangohmppac6417 6 лет назад +1

    8=2 => 太厉害了 hahahaha. good job sir

    • @張舜祺
      @張舜祺 2 года назад

      0*8=0*2,在甚麼情況下0可以拿掉?

  • @JEMN2001
    @JEMN2001 6 лет назад +5

    No entendí ni mierda jajajajajajajaja

  • @benq597
    @benq597 2 года назад +1

    除写错啦

  • @chinchiat83
    @chinchiat83 4 года назад

    用國語教真的很贊一下

  • @沈煜詳
    @沈煜詳 6 лет назад +1

    Here's my attempt at "proving" ÷0 is a bad idea:
    Observe that 0 × Z where Z is on the complex plane always yields 0.
    n ÷ 0 is therefore not on the complex plane.
    Replace the complex plane with any number space where the observation holds, and we can quickly prove that n ÷ 0 doesn't work in most number spaces.

  • @Ready4Music
    @Ready4Music 6 лет назад

    “0除0,越除越大。”
    Undefined number = 未定义数。

    • @pointlesssentience3987
      @pointlesssentience3987 6 лет назад +1

      Ison Mars Actually that's indeterminate. Don't really know what the Chinese for indeterminate is.

    • @Ready4Music
      @Ready4Music 6 лет назад

      Pointless Sentience "Indeterminate" (不定义) is the same meaning of "Undefined" (未定义).

  • @ingilizcehazrlk9134
    @ingilizcehazrlk9134 6 лет назад +1

    Great

  • @stevenfu2330
    @stevenfu2330 6 лет назад

    好棒

  • @DaiLoDong
    @DaiLoDong 6 лет назад

    Your Chinese enunciation could use some work :s Very classic southern Chinese pronunciation.

  • @Equitrox
    @Equitrox 6 лет назад +1

    I’m chinese as well lol

  • @SoyFerchow
    @SoyFerchow 6 лет назад

    I LOVE YOU! ❤

  • @alwayshatingyou7676
    @alwayshatingyou7676 6 лет назад +2

    Woo mandarin now 😊😊😊

  • @raylee1222
    @raylee1222 6 лет назад +1

    黑筆紅筆 YAY

  • @mihailoopacic3756
    @mihailoopacic3756 6 лет назад +1

    #YAY Naldhea hentmabek ❤

  • @masonstowe7528
    @masonstowe7528 6 лет назад

    Great. Now I have to learn Chinese to watch this video. brb

  • @黃曦嶢
    @黃曦嶢 6 лет назад

    7÷0
    你把7個東西分給0個人每個人拿到幾個
    因為0個人所以東西並沒有分出去代表沒意義
    由此可知7÷0沒意義

    • @blackpenredpen
      @blackpenredpen  6 лет назад +2

      我以前的時候常常在想...
      如果我沒有東西然後要分給7個人..這到底多有意義.... = =

  • @krishnasharma7607
    @krishnasharma7607 6 лет назад +1

    Yay!

  • @TheBlueboyRuhan
    @TheBlueboyRuhan 6 лет назад

    Ahh this is like learning the alphabet in the west

  • @GreenMeansGOF
    @GreenMeansGOF 6 лет назад

    其实并没有那么糟糕

  • @JamalAhmadMalik
    @JamalAhmadMalik 6 лет назад +1

    #Yay!

  • @jesusalejandrocordovacruz5373
    @jesusalejandrocordovacruz5373 6 лет назад

    Me gustan mucho sus videos aunque nunca entiendo lo que dicen :v
    Bueno loa de inglés les entiendo un poco jeje

  • @jimmyxie1019
    @jimmyxie1019 5 лет назад

    我一直有個問題
    假設1➗0=x
    所以1➗0=1x
    所以1➗0➗x=1
    所以1➗(0*x)=1
    所以1➗0=1
    ???

    • @江佳倫-z7g
      @江佳倫-z7g 3 года назад +3

      依個人淺見:
      -見解一
      可以把你的第三行寫成x/x=1
      但前提是x必須是「同值」;
      然而,1/0「沒有固定答案,甚至是沒有答案」,
      所以不能以1/0=x,將x設定成可以運算的數。
      第四、五行的0*x=0是不成立的,因為1/0=x不能運算。
      -見解二
      第四行可以寫成
      1/(0*(1/0))=1
      1/(0/0*1)=1
      1/0/0=1
      因為0/0=任意數(無意義)
      然而1/任意數,不一定等於1,
      所以式子不成立。
      以上
      問題很有趣,讓我動了一下腦,
      希望我的回答有幫到你。

  • @kairostimeYT
    @kairostimeYT 6 лет назад +1

    Blackpen Redpen #yay

  • @АртурСорокин-решениязадач

    по-русски говори я твой язык не понимаю

  • @jake_runs_the_world
    @jake_runs_the_world 6 лет назад

    I can't understand shit

  • @nicko151000
    @nicko151000 6 лет назад

    holy moly

  • @zeldalink6278
    @zeldalink6278 6 лет назад

    0÷0=∞ :)

  • @ssdd9911
    @ssdd9911 6 лет назад

    Hi

  • @토하는테드찡
    @토하는테드찡 6 лет назад +1

    #Yay

  • @vladniculescu674
    @vladniculescu674 6 лет назад

    #YAY

  • @blmu5672
    @blmu5672 6 лет назад

    7÷0=∞

  • @emanueleusai10
    @emanueleusai10 6 лет назад

    #yay

  • @kawaeeee
    @kawaeeee 6 лет назад

    這裡都是假中國人hhha

  • @hhho192
    @hhho192 6 лет назад +1

    Please use English