He aha ka cylinder: wehewehe, nā mea, nā ʻano, nā koho ʻāpana

Ma kēia hoʻolaha, e noʻonoʻo mākou i ka wehewehe, nā mea nui, nā ʻano a me nā koho cross-sectional no kekahi o nā ʻano geometric ʻekolu-dimensional maʻamau - paukūʻolokaʻa. Hoʻopili ʻia ka ʻike i hōʻike ʻia me nā kiʻi kiʻi no ka ʻike maikaʻi.

maʻiʻo

Hua'ōlelo Cylinder

A laila, e wehewehe mākou pōʻai pōʻai pololei e like me ke ʻano kiʻi kaulana loa. E helu ʻia nā ʻano ʻano ʻē aʻe ma ka ʻāpana hope o kēia puke.

Poʻa pōʻai pololei – He kiʻi geometric kēia ma ke ākea, i loaʻa ma ka hoʻohuli ʻana i kahi ʻāpana ʻāpana a puni kona ʻaoʻao a i ʻole ke axis o ka symmetry. No laila, kapa ʻia kēlā ʻano cylinder i kekahi manawa pōʻaiapili pōʻai.

He aha ka cylinder: wehewehe, nā mea, nā ʻano, nā koho ʻāpana

Ua loaʻa ka cylinder ma ke kiʻi ma luna ma muli o ka hoʻololi ʻana o kahi huinakolu ʻākau ABCD a puni ke axis O1O2 180° a i ʻole nā ​​ʻāpana ʻehā ABO2O1/O1O2CD a puni ka aoao O1O2 ma 360 °.

ʻO nā mea nui o ka cylinder

  • Nā kumu pahu – ʻelua pōʻai like ka nui / ʻāpana me nā kikowaena ma nā kiko O1 и O2.
  • R ʻo ia ka radius o nā kumu o ka cylinder, nā ʻāpana AD и BC – nā anawaena (d).
  • O1O2 – ke axis o ka symmetry o ka cylinder, i ka manawa like kona kiʻekiʻe (h).
  • l (AB, CD) - nā mea hana o ka cylinder a i ka manawa like i nā ʻaoʻao o ka rectangle ABCD. E like me ke kiʻekiʻe o ke kiʻi.

ʻO ka mea hoʻoheheʻe cylinder - lateral (cylindrical) ili o ke kiʻi, hoʻonoho ʻia ma kahi mokulele; he huinaha.

He aha ka cylinder: wehewehe, nā mea, nā ʻano, nā koho ʻāpana

  • ua like ka lōʻihi o kēia ʻāpana ʻāpana me ke anapuni o ke kumu o ka cylinder (2πR);
  • ua like ka laulā me ke kiʻekiʻe/generator o ka cylinder.

'Ōlelo Aʻo: Hōʻike ʻia nā ʻōkuhi no ka ʻimi ʻana a me ka cylinder ma nā puke ʻokoʻa.

Nā ʻano o nā ʻāpana cylinder

  1. ʻāpana axial o ka cylinder – he ʻāpana ʻehā i hana ʻia ma muli o ka hui ʻana o kahi kiʻi me kahi mokulele e hele ana ma kona axis. I kā mākou hihia, ʻo kēia ABCD (e nānā i ke kiʻi mua o ka hoʻolaha). ʻO ka ʻāpana o ia ʻāpana e like me ka huahana o ke kiʻekiʻe o ka cylinder a me ke anawaena o kona kumu.
  2. Inā ʻaʻole e hele ka mokulele ʻoki ma ke koʻi o ka cylinder, akā kū pololei i kona mau kumu, a laila he ʻāpana ʻāpana hoʻi ka ʻāpana.He aha ka cylinder: wehewehe, nā mea, nā ʻano, nā koho ʻāpana
  3. Inā like ka ʻoki ʻana me nā kumu o ke kiʻi, a laila he pōʻai like ka ʻāpana me nā kumu.He aha ka cylinder: wehewehe, nā mea, nā ʻano, nā koho ʻāpana
  4. Inā ʻokoʻa ka cylinder e kahi mokulele ʻaʻole i kūlike me kona mau kumu a, i ka manawa like, ʻaʻole i hoʻopā i kekahi o lākou, a laila he ellipse ka ʻāpana.He aha ka cylinder: wehewehe, nā mea, nā ʻano, nā koho ʻāpana
  5. Ina e oki ka mokulele oki i kekahi o na kumu o ka pahu, he parabola/hyperbola ka pauku.He aha ka cylinder: wehewehe, nā mea, nā ʻano, nā koho ʻāpana

ʻO nā ʻano cylinders

  1. puʻupuʻu pololei – loaʻa nā kumu hoʻohālikelike like (ka pōʻai a i ʻole ellipse), ʻano like kekahi me kekahi. ʻO ka ʻāpana ma waena o nā kiko o ka hoʻohālikelike o nā kumu he kū pololei iā lākou, ʻo ia ke axis o ka symmetry a me ke kiʻekiʻe o ke kiʻi.He aha ka cylinder: wehewehe, nā mea, nā ʻano, nā koho ʻāpana
  2. inclined cylinder – loaʻa nā kumu like ʻole like a like. Akā ʻaʻole kū pololei ka māhele ma waena o nā kiko o ka symmetry i kēia mau kumu.He aha ka cylinder: wehewehe, nā mea, nā ʻano, nā koho ʻāpana
  3. Oblique (beveled) cylinder – ʻaʻole like nā kumu o ke kiʻi.He aha ka cylinder: wehewehe, nā mea, nā ʻano, nā koho ʻāpana
  4. pōʻai pōʻai – he pōʻai ke kumu. Aia pū kekahi elliptical, parabolic a hyperbolic cylinders.
  5. puʻupuʻu kaulike He kinikini poepoe akau i like ke anawaena kumu me kona kiekie.

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