Cov lus sib npaug tsis raug

2024 Tus sau: Seth Attwood | [email protected]. Kawg hloov kho: 2023-12-16 16:06

Tej zaum koj yuav paub tias kuv qhia lej. Thiab koj tau hnov cov lus xav ntau dua ib zaug tias qib kev kawm lej poob qis.

Thaum kuv cov menyuam kawm ntawv qib 2, kuv nkag siab tias vim li cas qib kev kawm lej hauv tsev kawm thiaj li poob. Nws yog nyob rau qib thib ob, thaum tso lub hauv paus ntawm kev kawm lej, xws li lub qhov loj heev uas tsis tuaj yeem hloov pauv tau tshwm sim, uas tsis tuaj yeem txhawb nqa los ntawm ib qho cuab yeej hauv daim ntawv ntawm lub tshuab xam zauv.

Namely, qhov teeb meem tseem ceeb yog nyob rau hauv lub multiplication table. Ua tibzoo saib cov phau ntawv squared uas koj cov menyuam kawm ntawv muaj.

Kuv mus kav khw ntev, ntev mus nrhiav phau ntawv. Thiab tag nrho tib yam, ntawm txhua qhov - qhov no yog daim duab.

Muaj cov phau ntawv tseem phem dua (rau cov tub ntxhais kawm theem siab) uas tsis muaj qhov sib npaug, tab sis muaj ntau cov qauv tsis muaj qab hau.

Zoo, vim li cas phau ntawv no tsis zoo? Cov niam txiv uas tsis xav txog pom tias daim ntawv sib npaug yog nyob ntawm phau ntawv. Nws zoo nkaus li tias tag nrho kuv lub neej muaj cov lus sib npaug ntawm phau ntawv? Dab tsi tsis yog?

Thiab qhov teeb meem yog qhov ntawm phau ntawv TSIS MUAJ daim ntawv.

Cov lus sib npaug, kuv cov neeg nyeem, yog qhov no:

Qee zaum tib lub rooj tseem hu ua lo lus zoo nkauj "Pythagoras table". Sab saum toj thiab sab laug tuaj yeem raug tshem tawm, tsuas yog lub duab plaub loj.

Ua ntej, muaj ib lub rooj. Qhov thib ob, nws yog qhov nthuav!

Tsis muaj ib tug me nyuam nyob rau hauv lawv lub siab zoo yuav xav txog columnar piv txwv.

Tsis yog ib tug me nyuam, txawm nws ci ntsa iab npaum li cas, yuav muaj peev xwm nrhiav tau cov yam ntxwv ntxim nyiam thiab cov qauv hauv cov piv txwv sau tawm.

Zoo, feem ntau, thaum tus kws qhia ntawv hais tias: "kawm cov lus sib npaug", thiab tus me nyuam tsis txawm pom lub rooj nyob rau hauv pem hauv ntej ntawm nws, nws tam sim ntawd nkag siab tias lej yog ib qho kev tshawb fawb uas zoo tib yam hu ua qee qhov txawv thiab ntau heev. xav tau - ntau cramming, tab sis nws yog tsis yooj yim sua kom to taub dab tsi. Thiab feem ntau, nws yuav tsum ua "raws li nws tau hais," thiab tsis yog "raws li nws ua rau kev txiav txim siab."

Vim li cas lub " rooj" zoo dua?

Ua ntej, tsis muaj khib nyiab thiab cov ntaub ntawv suab nrov nyob rau hauv daim ntawv ntawm sab laug ntawm cov piv txwv.

Qhov thib ob, koj tuaj yeem xav txog nws. Nws tseem tsis tau sau nyob qhov twg tias qhov kev sib faib no tsuas yog lub rooj xwb.

Thib peb, yog tias nws nyob ntawm tes tas li thiab tus me nyuam tsis tu ncua rau nws, nws willy-nilly pib sau cov lej no. Tshwj xeeb, nws yuav tsis teb lo lus nug "xya yim" nrog 55 - tom qab tag nrho, tus lej 55 tsis nyob hauv lub rooj thiab tsis tau muaj!

Tsuas yog cov menyuam yaus uas muaj lub cim xeeb txawv txav tuaj yeem nco txog kab piv txwv. Nyob rau hauv "lub rooj" koj yuav tsum nco ntau tsawg.

Tsis tas li ntawd, tus menyuam cia li tshawb nrhiav cov qauv. Thiab nws tus kheej nrhiav tau lawv. Txawm tias cov qauv zoo li no tau pom los ntawm cov menyuam yaus uas tseem tsis tau paub yuav ua li cas sib npaug.

Piv txwv li: cov lej symmetrical txog kab pheeb ces kaum sib npaug. Koj pom, tib neeg lub hlwb tsuas yog teem rau saib symmetry, thiab yog tias nws pom thiab pom nws, nws zoo siab heev. Thiab nws txhais li cas? Qhov no txhais tau hais tias qhov permutation ntawm qhov chaw ntawm qhov tseem ceeb tsis hloov cov khoom (los yog qhov sib ntxiv yog commutative, hauv cov ntsiab lus yooj yim).

Koj pom, tus menyuam pom nws tus kheej! Thiab dab tsi ib tug neeg invented nws tus kheej, nws yuav nco ntsoov mus ib txhis, nyob rau hauv sib piv rau qhov nws cim los yog nws twb qhia.

Nco ntsoov koj qhov kev xeem lej hauv tsev kawm theem siab? Koj tsis nco qab tag nrho cov theorems ntawm chav kawm, tshwj tsis yog rau qhov koj tau txais, thiab koj yuav tsum ua pov thawj rau tus kws qhia ntawv phem! Zoo, qhov ntawd yog tias koj tsis tau dag, tau kawg. (Kuv exaggerating, tab sis qhov no yog yuav luag ib txwm nyob ze rau qhov tseeb).

Thiab tom qab ntawd tus menyuam pom tias nws tsis tuaj yeem kawm tag nrho lub rooj, tab sis tsuas yog ib nrab xwb. Yog tias peb twb paub cov kab uas muab faib los ntawm 3, ces peb tsis tas yuav cim "yim los ntawm peb", tab sis nws yog txaus kom nco ntsoov "peb los ntawm yim". Twb tau ib nrab ua haujlwm.

Thiab tsis tas li ntawd, nws tseem ceeb heev uas koj lub hlwb tsis lees txais cov ntaub ntawv qhuav hauv daim ntawv ntawm qee cov kab lus tsis txaus ntseeg, tab sis xav thiab txheeb xyuas. Cov. tsheb ciav hlau.

Ntxiv nrog rau kev sib hloov ntawm kev sib npaug, ib qho tuaj yeem soj ntsuam, piv txwv li, lwm qhov tseeb. Yog tias koj poke ntawm ib tus lej thiab kos duab duab plaub los ntawm qhov pib ntawm lub rooj mus rau tus lej no, ces tus xov tooj ntawm tes hauv lub duab plaub yog koj tus lej.

Thiab ntawm no kev sib faib twb tau txais lub ntsiab lus tob dua li tsuas yog ib qho kev sau luv luv ntawm ntau cov ntsiab lus zoo ib yam. Nws ua rau kev nkag siab rau geometry - thaj tsam ntawm ib lub duab plaub yog sib npaug rau cov khoom ntawm nws sab)

Thiab koj tsis muaj lub tswv yim yuav yooj yim npaum li cas nws yog los qhia nrog lub rooj !!!

Hauv ntej, yog tias koj tus menyuam kawm qib 2, luam nws daim ntawv sib npaug kom raug. Dai ib tug loj rau ntawm phab ntsa kom nws saib thaum nws ua homework los yog zaum ntawm lub computer. Los yog txawm tias kev ruam dab tsi raug kev txom nyem. Thiab luam thiab laminate ib tug me me rau nws (los yog sau rau ntawm cardboard). Cia nws nqa nws mus kawm ntawv nrog nws, thiab cia nws yooj yim ntawm tes. (nws tsis mob rau xaiv cov squares diagonally ntawm lub rooj kom koj pom zoo dua)

Kuv cov menyuam muaj - zoo li no. Thiab nws yeej pab tau lawv hauv qib ob thiab tseem pab tau ntau yam hauv kev qhia lej.

Ntawm no, ncaj ncees, qhov nruab nrab ntawm kev ua lej yuav nce tam sim ntawd, thiab tus menyuam yuav tsum tsis txhob yws tias kev ua lej yog ruam. Thiab tsis tas li ntawd, yav tom ntej nws yuav yooj yim dua rau koj tus menyuam thiab. Nws yuav nkag siab tias nws yuav tsum tau wiggle nws lub hlwb, tsis yog cram. Thiab me ntsis uas nws yuav nkag siab, nws kuj yuav kawm ua.

Thiab kuv rov hais dua: tsis muaj dab tsi tsis ncaj ncees lawm nrog kab piv txwv. Thiab tus nqi ntawm cov ntaub ntawv uas lawv muaj yog tib yam li hauv "cov lus". Tab sis tsis muaj ib yam dab tsi zoo hauv cov piv txwv li. Qhov no yog cov ntaub ntawv rubbish, uas koj nrhiav tsis tau dab tsi koj xav tau ib zaug.