Whenu ture tauwehe me tona tohu

Takitaha o tatou ko te rota o te haora pau i runga i te otinga o te raruraru o te āhuahanga. O te akoranga, te pātai whakatika, he aha e hiahia ana koe ki te ako pāngarau? Ko te tino hāngai hoki te āhuahanga, te wahi mai matauranga i roto i te pepa, ki te, ko reira tino onge te take. Ko mathematicians i te whakarite, me te hunga e kore e haere e ki te riro i te kaimahi o nga tikanga tangohia. ai te reira i te tangata ki te mahi me te whakawhanake.

E kore te whakaaro taketake o te pāngarau i tuku i te ākonga mōhiotanga e pā ana ki te kaupapa. whāinga kaiako ki te whakaako i ngā tamariki ki te whakaaro, ki te feruri, te tātari me te tautohe. Ko tenei te mea tatou e kitea i roto i te āhuahanga, me ona axioms maha me theorems, corollaries, me tohu.

Ko te ture tauwehe o cosine

Āpiti atu ki te pānga pākoki me ritekore taurangi e timata ki te tūhura i te koki o ratou uara, me te whakatau. Whenu ture tauwehe ko tetahi o te tātai tuatahi, e hono i roto i te matauranga ka taha e rua tauira pūtaiao pāngarau.

Hei kitea te ringa i runga i te tahi atu e rua me te koki i waenganui i te ture tauwehe whenu tono. Hoki te tapatoru ki te koki matau, a ka whakatata tatou te ture tauwehe a Pythagoras, engari ki te kōrero tatou e pā ana ki te ahua noho, kua tono reira e kore e taea e.

Whenu ture tauwehe e whai ake:

AC ² = AB ² + BC ² - 2 * AB * BC * cos

Ko rite ki te moni o te atu e rua taha, tangohia i roto i te tapawha kotahi taha o te tapawha, haunga whakanuia ratou hua e rua me te whenu o te koki i hanga e ratou.

Ki te titiro koe tata atu, he haamana'oraa o te ture tauwehe a Pythagoras tenei tātai. Oia mau, ki te tango tatou i te koki i waenganui i nga waewae o 90, te uara o ona whenu ko 0. Ko te mutunga, i reira ka kia te moni anake o nga tapawhā o te taha, kitea nei i roto i te ture tauwehe a Pythagoras.

Whenu ture tauwehe: e taunaki

Mai i tenei faaiteraa deduce tatou te tātai AC ² me te whiwhi:

AC ² = BC ² + AB ² - 2 * AB * BC * cos

Ko te kupu, e kite tatou e hāngai te faaiteraa ki te tātai i runga, he kawenata ki tona pono. Ka taea e tatou te mea i mohiotia te ture tauwehe whenu. Kei te whakamahia te reira mo te katoa momo o tapatoru.

te whakamahi o

I tua atu ki te mau haapiiraa i roto i te pāngarau me te ahupūngao, Kei te whānui whakamahia tenei ture tauwehe i roto i te hoahoanga me te hanganga, ki te tātai i te taha tika me koki. Ki te tona awhina whakatau i te rahi e hiahiatia ana me te maha o ngā rauemi o te hanganga e kua hiahiatia hoki tona hanganga. O te akoranga, te nuinga o nga tukanga e hiahiatia mua hāngai whai wāhi me te matauranga tangata e aunoa i tenei ra. He maha ngā hōtaka e tukua ki a koe whakatauira i taua kaupapa i runga i te rorohiko. Kei te hoki ratou hōtaka kawea atu ki nga ture pāngarau, ngā āhuatanga katoa me te tātai.

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