Muaj ib lub sij hawm thaum tus kws qhia ntawv pib piav qhia seb cov feem puas yog nyob rau hauv chav kawm lej. Nyob rau lub sijhawm no, tag nrho cov haujlwm tshiab thiab kev tawm dag zog tau qhib ua ntej tus tub ntxhais kawm, rau kev siv uas lawv yuav tsum tau "txog lawv tus kheej". Tsis yog txhua tus tub ntxhais kawm nkag siab lub ntsiab lus no thawj zaug, tab sis peb yuav sim piav qhia txhua yam ua lus nkag siab. Tom qab tag nrho, qhov tseeb, tsis muaj dab tsi nyuab thiab txaus ntshai ntawm no.
Lub ntsiab lus ntawm lub tswvyim ntawm "feem"
Txhua kauj ruam, ib tug neeg ntsib cov xwm txheej uas yuav tsum tau cais thiab txuas cov khoom thiab lawv qhov chaw. Txawm hais tias peb tab tom txiav lub cav lossis txiav lub ncuav mog qab zib, xaiv lub txhab nyiaj nrog feem pua siab tshaj plaws, lossis txawm saib lub sijhawm, cov feem ntau yog nyob txhua qhov chaw. Nws tsuas yog ib feem xwb, ib feem - tus nqi saum toj qhia peb tias peb muaj pes tsawg daim, thiab hauv qab qhia peb yuav siv pes tsawg tus nqi kom tau tag nrho tus nqi.
Saib los ntawm ntau qhov kev pom
Ua ntej koj txiav txim siab yuav ua li cas thiaj ua tau ib feem tsis raug, koj yuav tsum nkag siab txog cov teeb meem tseem ceeb. Namely, nws yog dab tsi?
Xav txog ib qho piv txwv ntawm lub neej niaj hnub. Noj ib lub ncuav, txiav rau hauv qhov sib npaug - txhua tus ntawm lawv yuav yog, qhov tseeb, yogfeem, piv txwv li, ib feem ntawm qee qhov tag nrho. Yuav ua li cas yog tias peb ntxiv tag nrho cov khoom tawg ua ke? Ib lub ncuav qab zib. Yuav ua li cas yog tias muaj ntau tshaj qhov xav tau? Peb muab cov khoom ua ke, ua rau tag nrho cov ncuav qab zib, ntxiv rau qee qhov seem!
Los ntawm qhov kev xav ntawm kev ua lej, peb tau txais ib feem tsis tsim nyog - qhov no yog thaum cov khoom ntxiv rau tus nqi ntau dua ib qho. Nrhiav nws hauv ib qho teeb meem lossis kev sib npaug yog ib qho yooj yim. Qhov qis dua - tus denominator - nws muaj tsawg dua sab sauv - tus lej. Thiab yog tias tus lej qis dua siab dua ib sab, ces qhov no yog ib feem zoo.
Siv
Rau tus neeg xav kawm ib qho kev kawm lossis ib lub ntsiab lus tshwj xeeb, nws yuav tsum paub txog cov txiaj ntsig ntawm cov ntaub ntawv tshiab. Dab tsi yog qhov tsim nyog thiab tsis tsim nyog feem rau? Lawv siv qhov twg? Nws yog tsis yooj yim sua ua hauj lwm nrog zauv kab zauv yam tsis paub cov feem. Thiab nyob rau hauv lwm yam kev tshawb fawb, cov ntaub ntawv no yog qhov tseem ceeb: tsis nyob rau hauv chemistry, tsis nyob rau hauv physics, tsis nyob rau hauv economics, tsis txawm nyob rau hauv sociology los yog kev nom kev tswv!
Piv txwv li, lawv nug ib pawg neeg txog kev xaiv tsa tshiab rau lub tebchaws tus thawj tswj hwm. Ib tug neeg pov npav rau ib tug, thiab ib tug neeg nyiam qhov thib ob, thiab ntawm qhov screen TV peb yuav pom qhov feem pua. Qhov feem pua yog dab tsi? Qhov no yog qhov tseeb feem! Hauv qhov no, qhov kev faib ua feem ntawm cov neeg pov npav ntawm ib pawg neeg teb. Feem ntau, tsis muaj feem hauv lub ntiaj teb no - tsis muaj qhov twg. Yog li, koj yuav tsum kawm lawv.
ntaus ntawv
Peb twb paub tias ib feem yog dab tsi. Thiab qhov tsis ncaj ncees lawm yog ib qho uas tus lej loj dua tus lej. Nws hloov tawm tias peb muaj tus lej thiab qee qhov ntxiv. Ua cas ho tsis sau cia li no? Qhov no yuav raug hu ua tus lej sib xyaw.
Imagine: lub ncuav mog qab zib raug txiav rau plaub ntu, thiab ntxiv rau lawv koj muaj ib qho ntxiv - thib tsib. Yog tias koj xav qhia rau ntau tus phooj ywg, qhov zoo - koj tuaj yeem muab txhua tus ib thooj. Tab sis nws yooj yim dua khaws tag nrho lub ncuav mog qab zib, puas yog? Nws zoo ib yam hauv kev ua lej: nws tshwm sim tias nws yooj yim dua los siv qhov sawv cev ntawm tus lej ua ib feem tsis raug, thiab lwm qhov nws tseem ceeb heev kom cais tag nrho cov seem hauv lawv - qhov no yuav raug hu ua tus lej sib xyaw.
Ua 5/2 ua piv txwv. Txhawm rau kom tau txais tus lej sib xyaw, peb yuav tsum rho tawm tus lej ntawm tus lej ntau zaus raws li nws haum rau ntawd. Hauv qhov no, ob zaug, thiab yog li ntawd peb tau txais ob tus lej thiab ib thib ob. Qhov kev hloov pauv zoo li no yog kev hloov pauv ntawm ib feem tsis tsim nyog mus rau qhov tsim nyog. Thaum hloov lo lus "peb thib ob" peb tau txais cov lus qhia "ib qho tag nrho thiab ib thib ob", peb tuaj rau hauv daim ntawv ua tus lej sib xyaw.
Kev ua haujlwm
Nrog cov feem, koj tuaj yeem ua txhua yam haujlwm zoo ib yam nrog cov lej: ntxiv, rho tawm, sib faib, faib. Tom qab ntawd koj yuav kawm yuav ua li cas nce mus rau lub zog, tshem tawm cov square thiab lub voos xwmfab cov hauv paus hniav, coj logarithms. Nyob rau lub sijhawm no, koj yuav tsum kawm yuav ua li cas ua haujlwm yooj yim nrog cov feem tsis raug thiab tsis raug.
Thaum muab faib thiab faib, nws yooj yim tshaj rau siv tsiscov lej sib xyaw, tab sis qhov kev sawv cev ib txwm: tsuas yog tus lej thiab tus lej, tsis muaj tus lej. Yog li, peb muaj ob tus lej thiab kos npe ntawm kev ua haujlwm ntawm lawv - cia nws ua qhov kev qhia no: (1/2)(2/3). Thiab tom qab ntawd txhua yam, nws hloov tawm, yog qhov yooj yim heev: peb muab cov sab sauv thiab sab saud, thiab sau cov txiaj ntsig los ntawm kab feem: (12) / (23). Peb txo qhov ob ntawm tus lej thiab tus lej, tau txais cov lus teb: 1/3.
Thaum sib faib, nws yuav luag zoo ib yam, tsuas yog cov khoom thib ob hauv kev qhia yuav "tig": (1/2) / (2/3)=(1/2)(3/2))=3/4.
Sum thiab sib txawv
Ntxiv thiab rho tawm, koj tuaj yeem siv ob qho tib si sib xyaw thiab cov lej tsis raug nrog qhov yooj yim sib npaug (yog tias xav tau tshwm sim rau qhov kev xaiv tsim nyog). Txhawm rau ua qhov no, koj yuav tsum coj cov ntsiab lus mus rau ib tus lej.
Qhov no ua tau li cas? Yog tias koj nco qab cov cuab yeej tseem ceeb ntawm ib feem, ces koj paub cov lus teb - koj yuav tsum muab ob feem ntawm cov lej sib npaug kom lawv muaj qhov sib npaug ntawm qhov qis. Piv txwv li, muaj cov nqi hauv qab no: 1/3 thiab 1/7. Raws li txoj cai, peb muab cov feem tsim nyog 1/3 los ntawm 7, thiab 1/7 los ntawm 3. Peb tau 7/21 thiab 3/21. Tam sim no cov lej tuaj yeem ntxiv dawb: (7 + 3) / 21=10/21.
Tab sis kev sib faib los ntawm tus lej nyob sib ze tsis yog ib txwm tsim nyog - yog tias peb muaj 1/4 thiab 1/8, nws yuav yooj yim dua los muab thawj nqe lus los ntawm 2, thiab qhov ntawd yog: 2/8 + 1/8=3/8. Qhov txawv yog xam tib yam.
Mustakes
Cov tub ntxhais kawm yooj yim nkag siab lub ntsiab lus ntawm cov feem tsis raug thiab tsim nyog. Nws yog dab tsicomplex? Yog hais tias ua yuam kev tshwm sim, ces yuav luag ib txwm vim inattention - lub feem ntau denominator yog incorrectly pom, piv txwv li. Muaj, tau kawg, ib qho yuam kev nrov, thiab nws raug tso cai nyob rau hauv qhov sib npaug.
Muaj ib qho kev qhia: (3/4)x=3. Yuav tsum paub seb "x" sib npaug li cas. Qhov yuam kev yuav dag nyob rau hauv qhov tseeb hais tias tus tub ntxhais kawm multiplies ob sab ntawm qhov sib npaug los ntawm ¾, thiab tsis faib. Thiab tom qab ntawd es tsis txhob lo lus teb raug (x=4) nws hloov tawm tsis yog: x=9/4. Nws yog ib qho yooj yim kom tshem tau ntawm qhov teeb meem no - koj tsuas yog yuav tsum tau siv qee lub sijhawm kom tsis txhob tub nkeeg los sau cov txheej txheem rau kev faib sab xis thiab sab laug. Ces qhov yuam kev yog tshwm sim tam sim.
Record form
Koj tuaj yeem sau cov feem feem ntsug lossis kab rov tav. Nyob rau hauv thawj rooj plaub, ib yam dab tsi zoo li ib kem yog tau, qhov twg los ntawm sab saum toj mus rau hauv qab peb tau txais: thawj tus lej, kab rov tav, tus lej thib ob. Thiab yog tias txoj kab nqaim thiab nws tsis tuaj yeem "vav" hauv qhov siab, ces koj tuaj yeem sau cov ntsiab lus no ua ke, piv txwv li: 1/6, 34/37. Thov nco ntsoov tias cov feem zoo li no twb tau sau nrog tus lej. Txwv tsis pub, tsis muaj dab tsi tau hloov pauv loj.
Tseem muaj cov zauv feem. Lawv yooj yim siv, tab sis tsis muaj tus lej tuaj yeem sawv cev rau hauv daim ntawv no - rau qhov no nws yuav tsum muab faib los ntawm kaum yam tsis muaj qhov seem, txwv tsis pub qhov tseeb ploj. Saib, ½ tuaj yeem sau ua lej, tau txais 0.5, tab sis 1/3 tsis tuaj yeem ua tau. Los yog theej, nws yuav tig tawm 0, 333 … thiab yog li ntawm ad infinitum. Hauv kev ua lej, qhov no hu ua "peb hauv ib lub sijhawm."
In a text editor
Puas tau sau ib feemntawm lub computer? "Lo lus" muab lub sijhawm zoo li no. Koj tsuas yog yuav tsum mus rau ntu "Insert". Nyob ntawd koj yuav pom lub pob "Formula", thaum clicked, lub qhov rais tshiab yuav qhib. Nyob rau hauv nws koj tuaj yeem nrhiav tau ob qho tib si kom raug thiab ntau lwm yam, ntau ntau cov cim nyuaj - integrals, differentials, square roots.
Tej zaum koj yuav tsis paub cov lus no, tab sis muaj ib hnub koj yuav dhau lawv hauv lej ib yam. Nco ntsoov tias tag nrho cov cim no tuaj yeem pom hauv ib qho chaw.
Tib lub sijhawm, tsis muaj qhov ua tau zoo li no hauv Notepad. Nyob ntawd, cov feem tsuas tuaj yeem sau rau hauv kab, dhau ntawm tus lej.
Zoo kawg
Hauv txhua qhov kev tshawb fawb, qhov tseeb yog qhov tseem ceeb. Yog li ntawd, tag nrho cov "pieces" yuav tsum tau coj mus rau hauv tus account, thiab rau qhov no nws yog ib qho tseem ceeb kom nkag siab txog yuav ua li cas ua hauj lwm nrog tsis tu ncua thiab tsis tsim nyog feem. Yog tsis muaj lawv, lub dav hlau yuav tsis tawm, thiab lub computer yuav tsis tig, thiab koj yuav tsis muaj peev xwm ua noj ib lub tais los ntawm phau ntawv cookbook, thiab koj yuav tsis muaj peev xwm sau suab paj nruag. Feem ntau, kev nkag siab lub ntsiab lus no hauv kev qhia lej yog ib txoj haujlwm tsim nyog, thiab qhov tseem ceeb tshaj, nws tsis yog qhov nyuaj. Xyaum ua homework, ntxiv, sib npaug, sib piv cov feem. Tom qab ntawd koj yuav kawm sai sai ua txhua yam hauv koj lub siab thiab koj tuaj yeem txav mus rau cov ncauj lus nthuav dav tshiab. Thiab ntseeg kuv, tseem muaj ntau tus lej hauv lej.
