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Video: Yuav ua li cas koj nrhiav tau qhov sib npaug ntawm ib tug hyperbola muab Asymptotes thiab foci?
2024 Tus sau: Miles Stephen | [email protected]. Kawg hloov kho: 2023-12-15 23:36
Siv qhov laj thawj saum toj no, lub kev sib npaug ntawm asymptotes y = ±ab(x−h)+k y = ±a b(x − h) + k. Zoo li hyperbolas nyob rau hauv lub hauv paus chiv keeb, hyperbolas nyob nruab nrab ntawm qhov taw tes (h, k) muaj vertices, co-vertices, thiab foci uas muaj feem xyuam nrog cov kev sib npaug c2 = a2 + b2 c 2 = a 2 + b 2.
Xav txog qhov no, koj yuav nrhiav tau qhov sib npaug ntawm asymptote li cas?
los ntawm kev ua raws li cov kauj ruam no:
- Nrhiav qhov nqes hav ntawm asymptotes. Lub hyperbola yog ntsug yog li txoj kab nqes ntawm asymptotes yog.
- Siv txoj kab nqes los ntawm Kauj Ruam 1 thiab qhov nruab nrab ntawm qhov hyperbola ua qhov taw tes kom pom qhov taw tes- nqes hav ntawm qhov sib npaug.
- daws rau y kom pom qhov sib npaug hauv daim ntawv nqes hav-intercept.
Ib tug kuj yuav nug, ua li cas koj nrhiav tau qhov sib npaug ntawm ib tug hyperbola los ntawm ib daim duab? Cov kev sib npaug muaj daim ntawv y2a2−x2b2 = 1 y 2 a 2 − x 2 b 2 = 1, yog li cov transverse axis nyob ntawm y-axis. Cov hyperbola yog nyob nruab nrab ntawm lub hauv paus chiv keeb, yog li cov vertices pab raws li y-intercepts ntawm lub daim duab . Rau nrhiav cov vertices, set x = 0 x = 0, thiab daws rau y y.
Yog li ntawd, dab tsi yog tus qauv rau ib tug hyperbola?
Qhov kev ncua deb ntawm lub foci yog 2c. c2 = a2 + b2. Txhua hyperbola muaj ob asymptotes. A hyperbola nrog kab rov tav transverse axis thiab nruab nrab ntawm (h, k) muaj ib qho asymptote nrog kev sib npaug y = k + (x - h) thiab lwm yam nrog kev sib npaug y = k - (x - h).
Dab tsi yog B hauv hyperbola?
Nyob rau hauv lub general equation ntawm a hyperbola . a sawv cev qhov kev ncua deb ntawm lub vertex mus rau qhov chaw. b sawv cev rau qhov kev ncua deb perpendicular mus rau transverse axis los ntawm lub vertex mus rau asymptote kab (s).
Pom zoo:
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
Yuav ua li cas koj nrhiav tau qhov sib npaug ntawm kab tangent ntawm ib tug derivative?
1) Nrhiav tus thawj derivative ntawm f(x). 2) Txuas xvalue ntawm qhov taw tes rau hauv f '(x) txhawm rau nrhiav txoj kab nqes ntawm x. 3) Txuas x tus nqi rau f(x) txhawm rau nrhiav y ua haujlwm ntawm qhov taw tes. 4) Muab txoj kab nqes los ntawm kauj ruam 2 thiab taw tes los ntawm kauj ruam 3 siv cov qauv taw tes-qhov nqes hav kom pom qhov sib npaug rau kab tangent
Yuav ua li cas koj nrhiav tau qhov sib npaug ntawm ib kab perpendicular mus rau ib tug taw tes?
Ua ntej, muab qhov sib npaug ntawm kab muab rau hauv daim ntawv nqes hav-intercept los ntawm kev daws rau y. Koj tau txais y = 2 x + 5, txoj kab nqes yog -2. Perpendicular kab muaj qhov tsis sib thooj-reciprocal slopes, yog li txoj kab nqes ntawm txoj kab peb xav pom yog 1/2. Txuas lub ntsiab lus muab rau hauv qhov sib npaug y = 1/2x + b thiab daws rau b, peb tau txais b = 6
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
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