Cov kab tuaj yeem pom nyob txhua qhov chaw hauv lej, txawm tias koj tab tom kawm Algebra 1, Geometry, lossis Algebra 2. Yog tias koj paub yuav ua li cas thiaj pom qhov gradient ntawm kab, ntau yam yuav pom meej, piv txwv li yog tias ob kab sib luag lossis sib npaug, sib tshuam, thiab ntau lwm cov ntsiab lus. Nrhiav qhov gradient ntawm kab yog qhov yooj yim heev. Mus txuas ntxiv nyeem rau qee cov kauj ruam yooj yim uas koj tuaj yeem siv los kawm paub nrhiav kab gradients.
Kauj ruam
Txoj Kev 1 ntawm 2: Gradient Formula
Kauj Ruam 1. Nkag siab txog cov mis gradient
Cov gradient tau txhais raws li ntsug faib los ntawm kab rov tav.
Txoj Kev 2 ntawm 2: Nrhiav Gradient
Kauj Ruam 1. Nrhiav kab uas koj xav nrhiav qhov gradient rau
Xyuas kom kab yog ncaj. Koj tsis tuaj yeem pom qhov gradient ntawm kab uas tsis ncaj.
Kauj Ruam 2. Xaiv ob qho kev tswj hwm uas kab hla dhau
Qhov kev tswj hwm yog sau cov ntsiab lus x thiab y (x, y). Nws tsis muaj teeb meem qhov twg koj xaiv, tsuav yog cov ntsiab lus sib txawv thiab dag ntawm tib kab.
Kauj Ruam 3. Xaiv qhov tseem ceeb ua haujlwm taw tes hauv koj qhov kev ua zauv
Nws tsis muaj teeb meem qhov twg koj xaiv, tsuav yog tus nqi ib txwm zoo ib yam thaum suav. Qhov ua haujlwm tseem ceeb yog x 1 thiab y 1. Lwm qhov kev sib koom tes yog x 2 thiab y 2.
Kauj Ruam 4. Sau koj cov kab zauv nrog y-coordinate saum toj no thiab x-coordinate hauv qab no
Kauj Ruam 5. Rho tawm ob y-coordinates los ntawm ib leeg
Kauj Ruam 6. Tshem ob txoj haujlwm x sib nrug ntawm ib leeg
Kauj Ruam 7. Sib faib cov txiaj ntsig ntawm kev rho tawm cov y sib koom ua ke los ntawm kev rho tawm ntawm x-ua haujlwm
Yooj yim tus lej yog tias nws tuaj yeem ua kom yooj yim.
Kauj Ruam 8. Txheeb ob zaug txhawm rau txheeb xyuas yog tias koj cov lus teb muaj txiaj ntsig
- Ib txoj kab uas mus ntawm sab laug mus rau sab xis ib txwm muaj qhov zoo, txawm tias nws yog ib feem.
- Kab uas nqis los ntawm sab laug mus rau sab xis ib txwm tsis zoo, txawm tias nws yog ib feem me me.
Piv txwv
- Paub: Kab AB
- Chaw ua haujlwm: A - (-2, 0) B - (0, -2)
- (y2-y1): -2-0 = -2; Ntsug = -2
- (xwm2-x ib1): 0-(-2) = 2; Kab rov tav = 2
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Gradient of Line AB = (Vertical/Horizontal) = -1.
Lub tswv yim
- Yog tias koj twb tau xaiv qhov kev tswj hwm ntawm koj lub ntsiab lus tseem ceeb, tsis txhob pauv lawv rau lwm qhov kev tswj hwm lossis koj cov lus teb yuav tsis raug.
- Koj yuav pom m hauv Kab Lus Qhia, uas yog: y = mx+b, qhov twg y yog y-kev sib koom tes ntawm ib qho taw tes, m yog qhov gradient, x yog x sib koom ua ke sib luag rau y-koom tes ntawm ib qho taw tes, thiab b yog y-cuam tshuam.
- Koj tseem tuaj yeem saib hauv koj phau ntawv kawm hauv tsev lossis nug koj tus kws qhia ntawv.