Cov kev faib los ntawm xoom: yog vim li cas tsis tau?

Nruj txiav npluav rau division ntawm xoom yog yuam txawm nyob rau hauv junior high school. Feem ntau cov menyuam tsis xav txog nws ua, tab sis nyob rau hauv kev muaj tiag paub yog vim li cas ib yam dab tsi yog txwv tsis pub, thiab nws yog nthuav thiab pab tau.

xam hauj lwm

Xam ua hauj lwm, uas yog qhia nyob rau ntawm lub tsev kawm ntawv, tsis zoo tib nyob rau hauv cov nqe lus ntawm kev kawm txog zauv. Lawv pom tau tag nrho tsuas yog ob tug ntawm cov ua hauj lwm - tsis tas li ntawd thiab npaug. Lawv muaj nyob rau hauv lub tswvyim ntawm nws tus kheej, thiab tag nrho lwm yam kev ua nrog rau cov xov tooj ib txoj kev los sis lwm yog raws li nyob rau hauv no ob. Hais tias yog, nws yog tsis yooj yim sua tsis tsuas mus rau faib los ntawm xoom, tab sis lub division feem ntau.

Rho thiab division

Dab tsi yog uas ploj lawm rau hauv lub so ntawm qhov kev txiav txim? Ib zaug ntxiv, lub tsev kawm ntawv yog zoo dua lub npe hu hais tias, piv txwv li, rho plaub los ntawm xya - ces muab xya chocolates, plaub ntawm lawv noj thiab suav cov uas nyob twj ywm. Tab sis lub lej tsis daws tau qhov teeb meem ntawm kev noj cov khoom qab zib thiab feem ntau pom lawv kiag li txawv. Rau lawv muaj tsuas yog tas li ntawd, nws muaj ib cov ntaub ntawv ntawm 7 - 4 = ib tug xov tooj uas yog tus sum ntawm tus xov tooj 4 yuav ua ncaj rau 7. Hais tias yog, rau mathematicians, 7 - 4 - yog shorthand kab zauv x + 4 = 7. Qhov no yog tsis yog ib tug sib rho, tab sis qhov teeb meem - mus nrhiav tau ib tug xov tooj uas koj yuav tau muab tso rau hauv qhov chaw ntawm x.

Tib yam siv rau lub division thiab npaug. Faib kaum rau ob tug, mladsheklassnikov nteg tawm kaum candies rau hauv ob sib npaug zos pawg. Mathematician tib no saib kab zauv: 2 · x = 10.

Thiab nws yuav ntshiab yog vim li cas nws yog tsis raug cai faib los ntawm xoom: nws tsuas yog tsis yooj yim sua. Cov ntaub ntawv 6: 0 yuav tsum tau hloov dua siab tshiab rau hauv kab zauv 0 · x = 6. Nyob rau hauv lwm yam lus, koj xav kom nrhiav tau ib tug xov tooj uas yuav tsum khoo los ntawm xoom thiab tau 6. Tiam sis peb paub hais tias tus npaug ntawm xoom ib txwm muab pes tsawg. Qhov no yog qhov tseem ceeb cov khoom teejtug uas zero.

Yog li, muaj xws li ib tug xov tooj uas, txawj los ntawm xoom, yuav muab ib co xov tooj lwm yam tshaj zero. Yog li ntawd, qhov no kab zauv twb tsis muaj tshuaj, muaj yog tsis muaj tej xov tooj, uas yuav tsum tau correlated nrog ib cov ntaub ntawv ntawm 6: 0, uas yog, nws tsis ua kev zoo siab. Nyob rau nws senselessness thiab hais tias txwv tsis pub faib los ntawm xoom.

Yog xoom muab faib los ntawm xoom?

Yog nws ua tau rau xoom muab faib los ntawm xoom? Cov kab zauv 0 · x = 0 yog tsis yooj yim, thiab yuav tsum noj raws li lub x feem ntau pes tsawg thiab tau txais 0 · 0 = 0. Ces 0: 0 = 0? Tab sis yog hais tias, piv txwv li, siv rau x unit, kuj tau txais 0 · 1 = 0. Nws yuav npaum li cas rau x nyob rau hauv general tej yam muaj pes tsawg tus thiab faib los ntawm xoom, thiab cov yuav nyob twj ywm li qub: 0: 0 = 9, 0: 0 = 51 thiab thiaj li nyob rau hauv.

Yog li, nyob rau hauv no kab zauv, koj yuav ntxig yam tsawg kiag li, thiab koj yuav tsis xaiv tej kev, nws yog tsis yooj yim sua los mus txiav txim yuav ua li cas muaj ntau yam xws ntaub ntawv 0: 0. Yog li ntawd, qhov no cov ntaub ntawv kuj tsis paub, thiab division ntawm xoom yog tseem tsis yooj yim sua: nws tsis muab faib txawm nyob rau hauv nws tus kheej.

Qhov ntawd yog ib qho tseem ceeb feature ntawm lub division lag luam, uas yog, qhov sib npaug thiab cov kab xov tooj yog pes tsawg.

Cov lus nug tseem: yog vim li cas muaj peev xwm tsis faib los ntawm xoom, tab sis nws muaj peev xwm yuav txiav? Peb yuav hais tias qhov no lej pib nrog rau qhov no nthuav teeb meem. Yuav nrhiav tau cov lus teb, koj yuav tsum kawm txoj kev xyuam xim txhais ntawm suav poob lawm thiab raws li cov neeg ua haujlwm rau lawv. Piv txwv li, muaj cov tsis tsuas yooj yim, tab sis kuj cov lej nyuaj, division uas txawv los ntawm cov pa division. Nws tsis yog muaj nyob rau hauv lub tsev kawm ntawv cov ntaub ntawv kawm, tab sis lub tsev kawm ntawv lectures nyob rau hauv kev kawm txog zauv pib nrog rau qhov no.