Video: Puas yog Saint Louis Arch yog parabola?
2024 Tus sau: Miles Stephen | [email protected]. Kawg hloov kho: 2023-12-15 23:36
Kab lus no tau qhia txog Rooj vag Arch tsis yog a parabola . Es tsis txhob, nws yog nyob rau hauv cov duab ntawm ib tug flattened (los yog hnyav) catenary, uas yog cov duab peb pom yog hais tias peb dai ib tug saw uas nyias nyob rau hauv nruab nrab ntawm ob lub ntsiab lus.
Cov neeg tseem nug, yog St Louis Arch yog catenary?
Cov Rooj vag Arch yog 630-ko taw (192 m) monument nyob rau hauv St . Louis , Missouri, Tebchaws Asmeskas. Clad nyob rau hauv stainless hlau thiab ua nyob rau hauv daim ntawv ntawm ib tug hnyav catenary arch , nws yog lub ntiaj teb siab tshaj plaws arch , lub siab tshaj plaws neeg tsim monument nyob rau hauv lub Western Hemisphere, thiab Missouri lub siab tshaj plaws nkag tau mus rau hauv lub tsev.
Ib tug kuj yuav nug, yog McDonald's arch yog parabola? Lub Golden Arches yog lub cim ntawm McDonald's , lub ntiaj teb no fast-food khw noj mov saw. Cov McDonald's logo yog ib qho piv txwv zoo meej ntawm parabolas tshwm sim hauv lub neej. Yog hais tias lawv yuav tsum tau qhia nyob rau hauv equations, peb paub tias lawv yuav tsis zoo parabolas , thiab qhov "a" yuav ntau dua 1 vim tias nws ncav cuag li cas.
Nyob rau hauv no, dab tsi yog qhov kev sib npaug ntawm lub quadratic rau St Louis Arch?
Louis yog parabolic. Nws yog 630 ko taw siab ntawm av mus rau vertex thiab 630 ko taw dav rau hauv av. Kev tsom xam los ntawm hauv av siab npaum li cas? Basic equation ntawm a parabola uas qhib downwards: (x-h)^2 = 4p(y-h), (h, k) = (x, y) coordinates ntawm lub vertex.
Dab tsi yog qhov vertex ntawm Gateway Arch?
Cov vertex , (315, 630), yog raws nraim nyob rau hauv nruab nrab ntawm kab rov tav ntu txuas ob lub ntsiab lus ntawm lub arch qhov twg qhov siab tshaj hauv av yog 600 ko taw.
Pom zoo:
Dab tsi ntawm kev sib npaug yog parabola?
Tus qauv qauv yog (x - h) 2 = 4p (y - k), qhov kev tsom xam yog (h, k + p) thiab directrix yog y = k - p. Yog hais tias lub parabola tig kom nws vertex yog (h, k) thiab nws axis ntawm symmetry yog parallel mus rau lub x-axis, nws muaj ib tug sib npaug ntawm (y - k) 2 = 4p (x - h), qhov chaw tsom yog (h + p, k) thiab directrix yog x = h - p
Dab tsi yog cov piv txwv ntawm kev puas siab puas ntsws multifactorial?
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Qhov siab tshaj plaws lossis qhov tsawg kawg nkaus ntawm parabola yog dab tsi?
Vertical parabolas muab cov ntaub ntawv tseem ceeb: Thaum lub parabola qhib, lub vertex yog qhov qis tshaj plaws ntawm daim duab - hu ua qhov tsawg kawg nkaus, lossis min. Thaum lub parabola qhib, lub vertex yog qhov siab tshaj plaws ntawm daim duab - hu ua themaximum, lossis max