Te wā taparima: te mōhiohio iti

kī Kōrero Dictionary Ozhegova e ko he te taparima ahua āhuahanga, iti ki ngā rārangi rīpeka rima e hanga ake nga koki o roto e rima, me te tetahi ahanoa o rite āhua. Ki te nga taha katoa me koki o te taua i roto i te taparau hoatu, huaina ana e ia ko te tika (te Taparima).

He aha te mea ngā auau taparima?

i kua i roto i tenei puka kua hangaia te reira i runga i te whare rongonui o te United States Defence. O te rōrahi o polyhedrons auau papatupu anake kua te mata i roto i te puka o taparima. I roto i te natura i reira e i katoa kahore tioata, ngaahi tafa'aki o nei e kua rite auau te taparima rite. I tua atu, tenei ahua ko te taparau ki te maha itinga rawa o koki, e te mea e taea ki te pereki te rohe. Anake i roto i te maha o ngā hauroki o te taparima hāngai ki te maha o ona taha. Whakaae, he ngā tenei!

āhuatanga Basic me o te tātai

Mā te whakamahi i te tātai mō tetahi taparau auau, ka taea e koe te tautuhi i te tawhā tika katoa, e ko te Taparima.

• Ko te α koki pokapū = 360 / n = 360/5 = 72 °.
• Ko te β roto koki = 180 ° * (n-2) / n = 180 ° * 3/5 = 108 °. Nä, ko te moni o nga koki roto ko te 540 °.
• He rite ki te (1 + √5) / 2, i.e. te ōwehenga o te hauroki ki te taha ki lateral te "wāhanga koura" (āhua 1,618).
• Ko te roa o te taha, e kua auau he taparima kia tatau e tetahi o toru tātai, i runga i nei te mohiotia kua tawhā:

• ki te whakamārama ana te reira i te porohita a tawhio noa te mohiotia me te R pūtoro, ka he = 2 * R * hara (α / 2) = 2 * R * hara (72 ° / 2) ≈1,1756 * R;
• ka c porohita pūtoro r tuhituhi i roto i te auau te taparima, he = 2 * r * TN (α / 2) = 2 * r * TN (α / 2) ≈ 1,453 * r;
• tupu te reira e hei utu o mōhiotia nui radii D hauroki, ka whakaritea te aronga e whai ake nei: he ≈ D / 1.618.

• Kei te takoto te rohe o auau te taparima, ano, i runga i nei mohiotia tawhā te ki a tatou:
• ki te reira te tuhituhi circumscribed porohita ranei, ka whakamahi i tetahi o e rua tātai:

S = (n * te r * ) / 2 = 2.5 * te r * ranei S = (n * R ² * hara α) / 2 ≈ 2,3776 * R ^2;

• kia hoki kia whakaritea wāhi mā te i matau ai ko te roa taha he:

S = (5 * he ² * tg54 °) / 4 ≈ 1,7205 * he ^2.

Te wā taparima: hanga

Ka taea te hanga i tēnei āhua āhuahanga i roto i ngā huarahi rerekē. Hei tauira, ki te uru i te reira ki te porowhita ki te pūtoro tomu'a i runga i te taha hanga tomu'a. Raupapa i whakaahuatia i roto i te "Elements" o Euclid a tawhio noa 300 BC I roto i tetahi take, e hiahia ana matou he awhi me te rangatira. A feruri i te whakamahi i te tikanga o te hanga i te paenga tomu'a.

1. Tīpakohia he pūtoro te noho, a ka utu i te porohita, e hūanga tona mata pokapū O.

2. I runga i te aho porohita, tīpako i te wāhi e ka mahi i rite ki tetahi o nga tihi o to tatou taparima. Kia tenei he wāhi A. Tūhono te e ngā me te wāhanga raina.

3. Unuhia te aho i roto i te wāhi hāngai ki te rārangi tika OA. A tuu pūtahitanga o tenei rārangi tika ki te tohu porohita rite wāhi B.

4. I te waenganui o te tawhiti i waenganui i ngā e me te wāhi B hanga C.

5. Na te utu i te porowhita nei pokapū ko i te wāhi C me e haere i roto i te pūwāhi A. Tūnga o tona pūtahitanga ki pūkete rārangi tika (e te mea i roto i te porowhita tuatahi) ko te tohu D.

6. Hanga he porohita i roto i D, te pokapū o te mea i roto i te Area te o tona pūtahitanga ki te porowhita taketake he tika ki te tautuhi i te ngā E me F.

7. Na hanga he porohita nei pokapū kei roto E. Hei te mahi i tenei he mea tika kia haere te reira i roto i A. Ko tetahi atu wahi o te pūtahitanga o te porowhita taketake he tika a faataa pūwāhi G.

8. Hei whakamutunga, hanga he porowhita ki te pokapū te roto i te pūwāhi F. Mark tetahi wāhi pūtahitanga o te H. porowhita taketake

9. Na koe anake i ki te hono i te tihi o te, E, G, H, F. ka kia rite to tatou auau taparima!