Video: Koj yuav paub li cas yog qhov sib npaug yog linear lossis nonlinear?
2024 Tus sau: Miles Stephen | [email protected]. Kawg hloov kho: 2023-12-15 23:36
Siv ib Kev sib npaug
Simplify lub kev sib npaug kom ze li sai tau rau daim ntawv y = mx + b. Tshawb xyuas rau saib yog koj kev sib npaug muaj exponents. Yog nws muaj exponents, nws yog nonlinear . Yog koj kev sib npaug tsis muaj exponents, nws yog kab tawm.
Hais txog qhov no, koj yuav ua li cas paub yog tias qhov sib npaug yog linear?
A kab tawm muaj nuj nqi yog nyob rau hauv daim ntawv y = mx + b los yog f (x) = mx + b, qhov twg m yog txoj kab nqes los yog tus nqi ntawm kev hloov thiab b yog y-intercept los yog qhov twg daim duab ntawm kab hla y axis. Koj yuav pom tias qhov kev ua haujlwm no yog qib 1 lub ntsiab lus tias qhov x sib txawv muaj tus lej ntawm 1.
Dab tsi yog qhov sib npaug nonlinear? Ib qhov system nonlinear equations yog ib tug system ntawm ob los yog ntau tshaj kev sib npaug hauv ob lossis ntau qhov sib txawv uas muaj tsawg kawg yog ib qho kev sib npaug uas tsis yog linear. Nco qab tias yog linear kev sib npaug tuaj yeem nqa daim ntawv Ax + By + C = 0 A x + B y + C = 0. Ib qho kev sib npaug uas tsis tuaj yeem sau rau hauv daim ntawv no hauv nonlinear.
Yog li ntawd, dab tsi yog ib qho piv txwv nonlinear?
Algebraically, linear functions yog polynomials nrog siab tshaj exponent sib npaug rau 1 los yog ntawm daim ntawv y = c qhov twg c yog tas li. Nonlinear functions yog tag nrho lwm yam functions. Ib piv txwv ntawm a nonlinear function yog y = x^2. Qhov no yog nonlinear vim hais tias, txawm hais tias nws yog ib tug polynomial, nws lub siab tshaj plaws exponent yog 2, tsis yog 1.
Dab tsi ua rau muaj nuj nqi linear?
Linear functions yog cov uas nws daim duab yog ib txoj kab ncaj nraim. A linear muaj nuj nqi muaj daim ntawv hauv qab no. y = f(x) = a + bx. A linear muaj nuj nqi muaj ib qho txawv txawv txawv thiab ib qho txawv txav. Qhov txawv txawv txawv yog x thiab qhov txawv txav yog y.
Pom zoo:
Koj yuav ua li cas thiaj paub tias qhov sib npaug ua haujlwm lossis tsis yog?
Nws kuj yog ib qho yooj yim los txiav txim seb qhov sib npaug yog qhov ua haujlwm los ntawm kev daws rau y. Thaum koj muab ib qho kev sib npaug thiab tus nqi tshwj xeeb rau x, qhov yuav tsum tsuas yog ib qho sib txuas y-tus nqi rau qhov x-tus nqi.Txawm li cas los xij, y2 = x + 5 tsis yog qhov ua haujlwm; yog tias koj xav tias x = 4, ces y2 = 4 + 5 = 9
Yuav daws qhov tsis sib npaug ntawm cov kab sib npaug thiab cov kab sib npaug sib npaug li cas?
Kev daws qhov tsis sib npaug ntawm qhov sib npaug yog zoo ib yam li kev daws cov kab sib npaug. Qhov sib txawv tseem ceeb yog koj tig lub cim tsis sib xws thaum faib lossis muab faib los ntawm tus lej tsis zoo. Graphing linear inequalities muaj ob peb qhov sib txawv ntxiv. Qhov uas yog qhov ntxoov ntxoo muaj xws li qhov tseem ceeb uas qhov kev tsis sib xws ntawm cov kab tawm muaj tseeb
Puas yog txhua qhov sib npaug sib npaug sib npaug?
Thawj qhov sib npaug sib npaug yog qhov tseeb yog tias nws muaj kev txuag kom muaj nuj nqis. Piv txwv li, qhov sib npaug sib cais yeej ib txwm muaj tseeb, txij li lub ntsiab lus lawv yog ntawm daim ntawv: M(y) + N(t) = 0, yog li ϕ(t, y) = A(y) + B(t) yog a khaws cia kom muaj nuj nqis
Dab tsi yog qhov sib txawv ntawm cov kab lus sib npaug thiab qhov sib npaug sib npaug?
Cov kab lus sib npaug muaj qhov muaj txiaj ntsig zoo ib yam tab sis tau nthuav tawm nyob rau hauv ib hom ntawv sib txawv uas siv cov khoom ntawm cov lej xws li ax + bx = (a + b) x yog cov kab lus sib npaug. nruj me ntsis, lawv tsis yog 'sib npaug', yog li peb yuav tsum siv 3 kab sib luag hauv 'sib npaug' es tsis yog 2 raws li qhia ntawm no
Koj yuav daws qhov kev sib npaug lossis qhov tsis sib xws li cas?
Txhawm rau daws qhov tsis sib xws siv cov kauj ruam hauv qab no: Kauj Ruam 1 Tshem tawm cov feem ntau los ntawm kev muab tag nrho cov ntsiab lus los ntawm tus lej qis tshaj ntawm txhua feem. Kauj Ruam 2 Ua kom yooj yim los ntawm kev sib txuas zoo li cov ntsiab lus ntawm txhua sab ntawm qhov tsis sib xws. Kauj Ruam 3 Ntxiv lossis rho tawm kom tau txais qhov tsis paub ntawm ib sab thiab tus lej ntawm lwm qhov