Me pēhea te ki te kitea te tawhiti i runga i te waka rererangi taunga

I roto i te pāngarau, te taurangi me te āhuahanga i whakaritea ngā mahi o te imiraa i te tawhiti ki te wāhi i te rārangi tika i te ahanoa tohua ranei. Ko te momo tino o ara, te pai rawa o e tei runga i te raraunga tāuru. whakaaro tatou me pehea ki te kitea te tawhiti i waenganui i ngā këtia i roto i ngā āhuatanga rerekē.

Ko te whakamahi o mea ine

I te wāhanga tuatahi o te whanaketanga o te pāngarau e whakaako ki te whakamahi taputapu taketake (pērā i te rangatira, ine, kāpehu, tapatoru, me ētahi atu). Kimihia te tawhiti i waenganui i ngā tika ranei ki te mea ngāwari ratou awhina. Kati ki te hanga i te tauine o wehenga, me te tuhituhi i te whakahoki. Kotahi anake kua ki te mohio e he rite ki te roa o te aho tika e taea te unu i waenganui i nga ngā te tawhiti, a ka i roto i te take o ngā rārangi whakarara - hāngai i waenganui ia ratou.

Mā te theorems āhuahanga me axioms

I roto i te kura nui, te ako ki te whanganga i te tawhiti, kahore te whakamahi i ngā taputapu motuhake ranei pepa kauwhata. E titau te reira theorems maha, axioms me tohu. E mea pinepine, te raruraru o te pehea, ki te kitea te tawhiti, whakaiti i te hanganga o te tapatoru matau , me te rapu hoki tona rōpū. Hei whakaoti matau i enei raruraru te ture tauwehe a Pythagoras āhuatanga nui o tapatoru me ngā tikanga o te faafariuraa.

Ko te ngā i runga i te waka rererangi taunga

Ki te mea i reira e rua ngā me hoatu ratou tūranga i runga i te toki ruruku, ka pehea ki te kitea te tawhiti i tetahi ki te tahi atu? Ko te otinga e ngā rave rahi ngā wāhanga:

1. Raina honotanga nga ngā, me te roa o e ka hei te tawhiti i waenganui i a ratou.
2. Kimihia te rerekētanga o taunga ngā uara o ngā (k, p) o ia tuaka: | he ₁ - he ₂ | = d ₁ me | r ₁ - r ₂ | = d ₂ (tango uara modulo, mai kore e taea e tōraro te tawhiti) .
3. I muri iho, te tau hua i roto i te faati'araa i, me te kitea o ratou moni tapawha: d ₁ ² + d ₂ ²
4. Ka waiho i te taahiraa hopea ki te unu i te pakiaka tapawha o te tau hua. Tenei ka te tawhiti i waenganui i ngā: d = V _{(D1 D2} ² + ^2).

Ka rite ki te hua, kawea te otinga katoa i roto i te taha o te tātai kotahi, kei hea he rite ki te pakiaka tapawha o te moni o ngā rerekētanga tapawha o taunga te tawhiti:

d = V (| he ₁ - he ₂ | ² + | p ₁ - p ₂ | ²⁾

Ki te whai koe i te pātai e pā ana ki te pehea, ki te kitea te tawhiti i tetahi wāhi ki tetahi i roto i te wāhi e toru-ahu, e kore te rapu mo te whakahoki ki reira he tino rerekē i te runga ake. Ka hāngai te whakatau i runga i te tātai e whai ake nei:

d = V (| he ₁ - he ₂ | ² + | p ₁ - p ₂ | ² + | f ₁ - f ₂ | ²⁾

rārangi whakarara

He hāngai unu i tetahi wāhi e takoto ana i runga i te raina tika tonu, faitatau ki, a ka waiho i te tawhiti. A, no te whakaoti rapanga i roto i te manureva e hiahia ana koe ki te kitea te taunga o tetahi wāhi o tetahi o nga rārangi. Na ka tātai i te tawhiti i reira ki te raina tuarua. Ki te mahi i tenei, hoatu e matou whakatika ratou ki te whārite whānui o te + puka Tuaina Na + C = 0. Mai i nga āhuatanga o te rārangi whakarara mohiotia ki te whai tau whakarea A me B e rite. I roto i tenei take, kitea te tawhiti i waenganui i nga rārangi whakarara taea e o te tātai:

d = | C ₁ - C ₂ | / V (A ² + B ²⁾

Ko te kupu, i roto i whakahoki i te pātai o te pehea, ki te kitea te tawhiti i te ahanoa ūnga, me ia arata'ihia koutou i nga tikanga o te raruraru, me te whakarato i te taputapu ki te whakaoti i te reira. Ka taea e kia ratou rite pūrere ine, me theorems me tātai.