Ngā Wāhanga Kōnika Parabolic: Ngā Āhuatanga, Ngā Whakamahinga, me te Hiranga i roto i te Oranga o Ia Rā
Pendahuluan
He kaupapa whakamere ngā wāhanga kōniko i roto i te pāngarau, inā koa i roto i te āhuahanga. E whā ngā momo matua o ngā wāhanga kōniko: ngā porowhita, ngā porowhita, ngā parabola, me ngā hyperbola. I roto i tēnei tuhinga, ka ruku hohonu atu tātou ki tētahi o ngā momo wāhanga kōniko māmā rawa, engari he maha ngā whakamahinga nui: te parabola.
Te Whakamāramatanga me ngā Āhuatanga o te Parabola
He kōpiko te parabola i hangaia mā te whakawhitiwhitinga o tētahi paparangi me tētahi koeko ina he whakarara te paparangi ki tētahi taha o te koeko. I roto i ngā taunga Cartesian, ka taea te tautuhi i tētahi parabola mā te pāngarau mā te whārite tapawhā paerewa y = ax² + bx + c, ko a, b, me c he pūmau me a≠0.
Ko ētahi o ngā āhuatanga nui o te parabola ko:
1. Āhua ōrite: He tuaka ōrite tō te parabola e wehe ana i a ia kia rua ngā haurua ōrite. Ko tēnei tuaka ōrite he rārangi poutū e tika ana mā te tihi o te parabola.
2. Te Puku: Ko te puku o te parabola te pūwāhi piko e huri ai te parabola mai i te piki ki te heke (te hurihanga rānei). Ka taea te kimi i te taunga o te puku mā te whakamahi i te tātai -(b/2a).
3. Te Aronga o te Parabola: Mena he pai te tauwehenga a i roto i te whārite parabola, ka tuwhera te pihi ki runga. Mena he kino te tauwehenga a, ka tuwhera te pihi ki raro.
4. Arotahi me te Rekereke Latis: He pūwāhi arotahi tō te parabola me te rārangi rekereke latis e hono ana ki tēnei arotahi. Ko te arotahi te pūwāhi kotahi i runga i te pihi e whakaata mai ai ngā hihi whakarara katoa e haere mai ana.
Ngā Whakamahinga o te Parabola i roto i te Oranga o Ia Rā
Kāore ngā parabola e kitea ana i roto i ngā pukapuka ako pāngarau, i ngā akoranga āhuahanga rānei; kei roto hoki i ngā mahi o ia rā. Anei ētahi tauira:
1. Whakaata Parabolic: Ko tētahi o ngā whakamahinga rongonui o te rihi parabolic ko te hoahoa o ngā whakaata parabolic, pērā i ngā rihi amiorangi mō te pouaka whakaata me ngā rihi amiorangi. Ka whakamahia ngā whakaata parabolic nā te mea ka taea e rātou te arotahi i ngā hihi mārama, i ngā ngaru reo irirangi rānei ki tētahi pūwāhi arotahi kotahi kei mua i a rātou. Ka whakamahia hoki tēnei i roto i ngā rama me ngā rama whakamārama hei arotahi i te hihi ki tētahi pūwāhi kotahi.
2. Ara Pūrere: I roto i te ahupūngao, ko te nekehanga o tētahi mea i whiua, i pupuhihia rānei i raro i te awe o te kaha ā-papa, me te kore e awe o te hau, e whakaahua ana i tētahi kōpiko parabolic. He mea tino nui tēnei i roto i te mara o te pūrere hei whakatau i te ara o ngā pūrere, pērā i ngā matā, ngā pōro hākinakina, ngā ahi ahi, me ētahi atu.
3. Hoahoa Whare: Ko ētahi hanganga whare e whakamahi ana i ngā āhua parabolic i roto i ā rātou hoahoa hei whakapaipai i te ataahua me te pumau o te hanganga. Ko tētahi tauira ko te St. Louis Gateway Arch i te Hononga o Amerika.
4. Ngā Whakamahinga i roto i te Hangarau: I roto i te hangarau hanganga me te hangarau ā-iwi, ka whakamahia ngā parabola ki te hoahoa i ngā piriti whakairi me ngā tuanui whakamaumaharatanga. Ka whakamahia hoki ngā parabola ki roto i ngā hanganga piriti nā te mea he pai te tohatoha kawenga.
5. Ngā Pūnaha Whatu: I roto i ngā pūnaha whatu pēnei i ngā karu tiro parabolic me ngā karu hiko parabolic, ka whakamahia ngā karāhe parabolic, ngā whakaata rānei hei arotahi i te mārama me te whakaputa whakaahua mārama ake.
6. Hoahoa Arotahi: I roto i te hoahoa arotahi, ka whakamahia ngā mātāpono parabolic hei whakatika i te hē o te ahua me te whakapai ake i te taumira o te ahua, inā koa i roto i ngā arotahi kāmera me ngā taputapu whakaahua matatau.
Parabola i roto i te Hangarau Hou
I te whanaketanga o te hangarau, kua whānui haere ngā whakamahinga o ngā rihi amiorangi ki ngā momo mara o te pūtaiao me te hangarau. Anei ētahi tauira:
1. Pūnaha Whakawhitiwhiti Kōrero:
E whakamahia ana ngā pūihi parabolic i roto i ngā hangarau whakawhitiwhiti kōrero, mai i ngā pūihi amiorangi ki ngā whatunga waea pūkoro. I roto i ngā pūihi amiorangi, mā te hoahoa parabolic ka taea te whiwhi tohu kaha, pumau hoki. He mea nui tēnei mō ngā whakawhitiwhiti kōrero reo irirangi, pouaka whakaata, me te ipurangi amiorangi, e hiahia ana kia whiwhi tohu tika me te tuku tika.
2. Pūnaha Whakahaere Aunoa:
I roto i te aunoatanga ahumahi, ka whakamahia ngā parabola hei wāhanga o ngā hoahoa whakahaere pūnaha. I roto i te hangarau karetao, ka taea e ngā parabola te kimi ara tika me te maeneene ake i ngā nekehanga.
3. Pūngao Whakahou:
Ka whakamahia hoki ngā hihi parabolic i roto i ngā kaikohi rā hei whakaputa pūngao. Ka whakamahia e ngā kaikohi rā ngā whakaata parabolic hei arotahi i te hihi o te rā ki tētahi pūwāhi kotahi, ka whakamahana i tētahi wai ka whakamahia hei whakaputa hiko. Ka whakaitihia te whakamahinga wahie pūmua, ā, he taahiraa tēnei ki te pumau o te pūngao.
Whakamutunga
Ko te parabola he momo wāhanga kōniko e maha ana ngā whakamahinga mahi i roto i te oranga o ia rā me ngā hangarau hou. Mai i ngā whakaata me ngā pūihi parabola ki ngā hanganga hoahoanga me ngā pūnaha whatu, he mahi nui tā te parabola i roto i te whānuitanga o ngā mara. Nā tōna āhua māmā engari he whai hua, he kaupapa rangahau whakamere i roto i te pāngarau me te ahupūngao. Hei tāpiri, he mea tino nui te mārama ki ngā āhuatanga o te parabola ki te whakaoti rapanga mahi whānui i roto i te pūtaiao me te hangarau. Mā te tūhuratanga atu, ka haere tonu te whānui me te whakapai ake i ngā whakamahinga o te parabola i te whanaketanga o te hangarau me te mātauranga tangata.
