Video: Puas yog parallel kab skew kab?
2024 Tus sau: Miles Stephen | [email protected]. Kawg hloov kho: 2023-12-15 23:36
Hauv peb-dimensional geometry, skew kab yog ob kab uas tsis sib tshuam thiab tsis yog thaum uas tig mus . Ob kab tias ob leeg pw hauv tib lub dav hlau yuav tsum hla ib leeg los yog ua tib yam , yog li skew kab tuaj yeem muaj nyob hauv peb lossis ntau qhov ntev. Ob kab yog skew ua yog thiab tsuas yog lawv tsis yog coplanar.
Ib yam li ntawd, qhov sib txawv ntawm cov kab sib txuas thiab cov kab skew yog dab tsi?
Ob lossis ntau dua kab yog thaum uas tig mus thaum lawv dag hauv tib lub dav hlau thiab yeej tsis sib tshuam. Skew kab yog kab uas nyob rau hauv txawv dav hlau thiab yeej tsis sib tshuam. Cov qhov sib txawv ntawm cov kab sib luag thiab kab skew yog kab sib npaug dag hauv tib lub dav hlau thaum skew kab pw hauv txawv dav hlau.
Ib tug kuj yuav nug, kab hauv cov dav hlau sib txawv tuaj yeem sib npaug? Kev piav qhia: Kab pw hauv txawv dav hlau tuaj yeem sib tshuam, muab cov dav hlau tsis yog thaum uas tig mus . Hauv ob qho tib si hauv qab no kab nyob hauv txawv dav hlau , tab sis lawv ua sib tshuam.
Xav txog qhov no, skew kab piv txwv yog dab tsi?
Skew kab yog ncaj kab nyob rau hauv daim ntawv peb-dimensional uas tsis yog parallel thiab tsis hla. Ib piv txwv ntawm skew kab yog txoj kev taug pem hauv ntej ntawm ib lub tsev thiab a kab khiav hla saum ntug ntawm ib sab ntawm ib lub tsev.
Puas yog skew kab perpendicular?
Skew kab yog kab uas nyob rau hauv txawv dav hlau thiab yeej tsis sib tshuam. Qhov sib txawv ntawm qhov sib npaug kab thiab skew kab yog parallel kab pw hauv tib lub dav hlau thaum skew kab dag nyob rau hauv txawv dav hlau. Ib kab yog hais tias yuav perpendicular mus rau lwm kab yog tias ob kab sib tshuam ntawm lub kaum sab xis.
Pom zoo:
Puas yog parallel kab nyob ntawm?
Ib qho kev sib txuas ntawm cov kab sib txuas tuaj yeem ua tsis sib xws lossis tsis sib xws. Yog hais tias cov kab nyob rau hauv lub system muaj tib txoj kab nqes tab sis txawv intercepts ces lawv tsuas yog inconsistent. Txawm hais tias lawv muaj tib txoj kab nqes thiab cuam tshuam (hauv lwm lo lus, lawv yog tib txoj kab) ces lawv muaj kev vam khom
Yuav ua li cas koj nrhiav tau qhov sib npaug ntawm ib kab uas muab ib tug point thiab ib tug parallel kab?
Qhov sib npaug ntawm kab hauv daim ntawv nqes hav-intercept yog y = 2x + 5. Qhov nqes hav ntawm parallelline yog tib yam: m = 2. Yog li, qhov sib npaug ntawm kab sib npaug yog y = 2x + a. Txhawm rau nrhiav ib qho, peb siv qhov tseeb tias kab yuav tsum dhau los ntawm qhov muab: 5 = (2) ⋅ (− 3) + a
Nws puas yuav ua rau pom qhov sib npaug ntawm kab sib npaug mus rau ib kab thiab los ntawm ib qho taw tes ntawm kab?
Qhov sib npaug ntawm ib kab uas yog parallel lossis perpendicular rau ib kab? Cov lus teb tau: Cov nqes hav ntawm cov kab sib npaug sib npaug. Hloov txoj kab nqes paub thiab cov kev sib koom ua ke ntawm ib qho taw tes ntawm lwm txoj kab rau hauv daim ntawv point-slope kom pom qhov sib npaug ntawm kab sib npaug
Puas yog txoj kab ntsug yog txoj kab nqes?
Qhov 'slope' ntawm ib txoj kab ntsug. Ib txoj kab ntsug tsis tau txhais txoj kab nqes vim tias tag nrho cov ntsiab lus ntawm kab muaj tib x-coordinate. Raws li qhov tshwm sim, cov qauv siv rau txoj kab nqes muaj tus lej ntawm 0, uas ua rau txoj kab nqes tsis tau txhais
Yuav ua li cas koj nrhiav tau txoj kab nqes ntawm ib tug parallel thiab perpendicular kab?
Txhawm rau nrhiav txoj kab nqes ntawm txoj kab no peb yuav tsum tau txais txoj kab rau hauv txoj kab nqes-intercept daim ntawv (y = mx + b), uas txhais tau tias peb yuav tsum tau daws rau y: Qhov nqes hav ntawm kab 4x - 5y = 12 yog m = 4 / 5. Yog li ntawd, txoj kab nqes ntawm txhua kab uas tig mus rau kab no yuav tsum yog m = 4/5. Ob kab yog perpendicular yog tias