Hla kev sib npaug yog ib txoj hauv kev los daws cov kab zauv uas muaj qhov sib txawv ntawm ob feem sib npaug. Qhov sib txawv yog qhov chaw tso rau qhov tsis paub ntau ntawm cov lej thiab hla kev sib npaug hloov nws mus rau qhov sib npaug yooj yim, tso cai rau koj nrhiav tus nqi ntawm qhov sib txawv hauv nqe lus nug. Hla kev sib npaug yog qhov muaj txiaj ntsig zoo thaum koj xav ua kom tiav qhov sib piv. Nov yog yuav ua li cas:
Kauj ruam
Txoj Kev 1 ntawm 2: Hla Khoom Ntawm Ib Qhov Txawv
Kauj Ruam 1. Muab tus zauv ntawm sab laug tes los faib ua feem ntawm sab tes xis
Hais tias koj xav daws qhov sib npaug 2/x = 10/13. Tam sim no, sib npaug 2 los ntawm 13.2 x 13 = 26.
Kauj Ruam 2. Muab tus zauv sab xis los ntawm sab laug tes ua ke
Sib npaug x 10 10. X * 10 = 10x. Koj tuaj yeem hla ntu no ua ntej; nws tsis muaj teeb meem tsuav yog koj muab ob tus lej los ntawm ob tus lej sib cais.
Kauj Ruam 3. Ua kom ob yam khoom sib npaug
26 yog sib npaug rau 10x. 26 x 10 = np. Nws tsis muaj teeb meem twg yog nyob sab xis lossis sab laug; ua vaj huam sib luag, koj tuaj yeem hloov pauv lawv qhov chaw tsuav koj txav lawv txhua lub sijhawm.
Yog li yog koj sim nrhiav x tus nqi ntawm 2/x = 10/13, 2 * 13 = x * 10 lossis 26 = 10x
Kauj Ruam 4. Nrhiav tus nqi ntawm qhov sib txawv
Tam sim no koj muaj 26 = 10x, koj tuaj yeem sim nrhiav tus lej sib faib thiab faib 26 thiab 10 los ntawm tus lej qub uas faib ob qho tib si. Txij li ob qho tib si yog tus lej, koj tuaj yeem faib ua 2; 26/2 = 13 thiab 10/2 = 5. Qhov seem yog 13 = 5x. Tam sim no, noj x ib leeg, faib ob sab ntawm qhov sib npaug los ntawm 5. Yog li 13/5 = 5/5 lossis 13/5 = x. Yog tias koj xav tau cov lus teb hauv daim ntawv zauv, koj tuaj yeem pib los ntawm kev faib ob sab ntawm qhov sib npaug 10 kom tau 26/10 = 10/10 lossis 2,6 = x.
Txoj Kev 2 ntawm 2: Multivariable Cross Multiplication
Kauj Ruam 1. Muab tus zauv faib rau sab laug los ntawm tus lej ntawm sab xis
Hais tias koj xav daws cov kab zauv hauv qab no: (x + 3)/2 = (x + 1)/4. Sib npaug (x + 3) los ntawm 4 kom tau 4 (x + 3). Sib npaug los ntawm 4 kom tau 4x + 12.
Kauj Ruam 2. Muab tus zauv zauv tso rau sab xis los ntawm tus lej sib faib ntawm sab laug
Rov ua cov txheej txheem ntawm lwm sab. (x+1) x 2 = 2 (x+1). Muab ob npaug rau 2 kom tau 2x + 2.
Kauj Ruam 3. Ua cov khoom ntawm ob qho sib npaug thiab sib xyaw ua ke sib txawv
Tam sim no, qhov tshwm sim yog 4x + 12 = 2x + 2. Muab qhov sib txawv x thiab qhov tsis sib xws ntawm lwm sab ntawm qhov sib npaug.
- Yog li, ua ke 4x thiab 2x los ntawm kev rho tawm 2x los ntawm ob sab. Rho tawm 2x los ntawm 2x yuav ua rau seem ntawm 0. Ntawm sab laug, 4x - 2x = 2x, yog li qhov seem yog 2x.
- Tam sim no, ua ke 12 thiab 2 los ntawm kev rho tawm 12 los ntawm ob sab. Rho tawm 12 los ntawm 12 ntawm sab laug thiab qhov txiaj ntsig yog 0, tom qab ntawd rho tawm 12 los ntawm 2 ntawm sab xis kom qhov txiaj ntsig yog 2 -12 = -10.
- Qhov seem yog 2x = -10.
Kauj Ruam 4. Ua tiav
Txhua yam koj yuav tsum ua yog faib ob sab ntawm qhov sib npaug 2. 2x/2 = -10/2 = x = -5. Tom qab hla kev sib tw, koj pom tias x = -5. Koj tuaj yeem rov qab mus thiab tshuaj xyuas koj txoj haujlwm los ntawm kev nkag tus nqi x, uas yog -5 kom ntseeg tau tias ob tog sib npaug. Nws muab tawm los ua qhov sib npaug. Yog tias koj ntsaws -5 rau hauv qhov sib npaug qub, qhov tshwm sim yog -1 = -1.
Lub tswv yim
- Nco ntsoov tias yog koj ntsaws cov lej sib txawv (hais 5) rau hauv qhov sib npaug, qhov tshwm sim yog 2/5 = 10/13. Txawm hais tias koj muab sab laug los ntawm lwm 5/5, koj tau txais 10/25 = 10/13, uas yog qhov tsis raug. Cov ntaub ntawv no qhia tias koj ua yuam kev hla hla.
- Koj tuaj yeem tshawb xyuas koj cov lus teb los ntawm kev ntsaws koj cov txiaj ntsig rau hauv qhov sib npaug qub. Yog tias qhov sib npaug yog nqe lus tseeb, piv txwv li 1 = 1, koj cov lus teb raug lawm. Yog tias qhov sib npaug dhau los ua cov lus tsis tseeb, piv txwv li 0 = 1, koj tau ua yuam kev. Piv txwv li, ntsaws 2, 6 rau qhov sib npaug kom 2/(2, 6) = 10/13. Muab cov laug sab laug los ntawm 5/5 kom tau 10/13 = 10/13. Qhov tshwm sim yog cov lus raug, uas thaum yooj yim dhau los ua 1 = 1, yog li 2, 6 yog cov lus teb raug.
