Video: Qhov piv txwv quadratic equation yog dab tsi?
2024 Tus sau: Miles Stephen | [email protected]. Kawg hloov kho: 2023-12-15 23:36
A quadratic equation yog ib kev sib npaug ntawm qhov thib ob degree, txhais tau tias nws muaj tsawg kawg yog ib lub sij hawm uas yog squared. Cov qauv qauv yog ax² + bx + c = 0 nrog a, b, thiab c ua qhov tsis tu ncua, lossis cov lej coefficients, thiab x yog qhov tsis paub sib txawv. Ib txoj cai tseem ceeb yog tias thawj qhov "a" tsis tuaj yeem yog xoom.
Kuj tseem yuav paub yog, piv txwv li kev ua haujlwm quadratic yog dab tsi?
Qee yam piv txwv ntawm quadratic muaj nuj nqi Pom tias daim duab ntawm lub quadratic muaj nuj nqi yog parabola. Qhov no txhais tau tias nws yog nkhaus nrog ib lub pob. Daim duab yog symmetric txog ib kab hu ua axis ntawm symmetry. Lub ntsiab lus uas lub axis ntawm symmetry cuam tshuam lub parabola yog hu ua vertex.
Kuj Paub, dab tsi yog ib qho hauv kev sib npaug plaub npaug? Hauv algebra, a quadratic equation (los ntawm Latin quadratus rau "square") yog ib qho kev sib npaug uas tuaj yeem hloov kho nyob rau hauv daim ntawv raws li. qhov twg x sawv cev rau qhov tsis paub, thiab a, b, thiab c sawv cev rau cov lej paub, qhov twg a ≠ 0. Yog tias a = 0, ces qhov kev sib npaug yog linear, tsis yog plaub fab , raws li tsis muaj. lub sij hawm.
Tib neeg kuj nug, qhov sib npaug plaub npaug yog dab tsi thiab muab piv txwv?
Tus qauv qauv ntawm a plaub fab yog y = ax^2 + bx + c, qhov twg a, b, thiab c yog cov lej thiab a tsis tuaj yeem yog 0. Piv txwv ntawm quadratic equations y = x^2 + 3x + 1.
Dab tsi yog 3 hom kev ua haujlwm quadratic?
Thaum feem ntau ntawm txoj kev los sau cov plaub fab kev sib npaug yog redundant thiab useless, muaj peb daim ntawv uas yeej muaj kev siv tshwj xeeb. Cov no peb lub ntsiab daim ntawv uas peb graph parabolas los yog hu ua standard daim ntawv , cuam tshuam daim ntawv thiab vertex daim ntawv.
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