Pehea e huli i ka wahi o ka triangle pono i loko o ka hana alanui

Ma nā haʻawina o ka anahonua i loko o ke kula kiʻekiʻe a pau o ko mākou kamailio ana pehea e huli i ka wahi o ka huinahń triangle. Naʻe, i loko o ke kula laulā maʻamau mākou i wale i ka loa e pono ai kaʻike, a aʻo i ka loa, he pono ole, a maʻamau i ka ho omaulia ki ina hana like. He loaʻa kekahi hana aoao o loaa ia i kēia nui?

E like me ka hoike, e mai ke hoole i ka mea i manaoia e ia i kekahi mau huinahń triangle, a Kû ke i ka manaʻo o ka lewa.

Pono triangle ua kapaia ka paʻa geometric kinona, i kekahi kihi o ka i mea like i ka 90 ^0. Hoʻomaopop 'ana i loko o ka wehewehena o ka manaÿo o ka triangle pono i na wawae, a me ka hypotenuse. Ma lalo o nā wāwae ua manaoia i kaʻaoʻaoʻelua, a ma ka pilina wahi hana i ka huina akau. Hypotenuse - kaʻaoʻao e ku pono ana i ka huina akau. Direct triangle paha e kekahi isosceles (elua o kona aoao, e i ka ia nui), akā, e loa e equilateral (nāʻaoʻao o ka ia lōʻihi). kiʻekiʻe hooholo i ka Media, vectors a me nā makemakika hua'ōlelo,ʻaʻole e kamaʻilio ma ka au mamuli. Ka mea, hiki wawe ke loaʻa i loko o olua buke.

Ka wahi o ka pololei triangle. Haʻalele rectangles rula hana aoao ma ka hoomaopopo ana i ka wahi o ka triangle mea,ʻaʻole i pololei ia. Olelo ana maloo ōlelo o nā hua'ōlelo i kekahi triangle wahi maopopo i ka waiwai o ka huahelu, e noho ma kekahi hapa o ke pelane, kaheaia like me ka helu. Kokoke paʻakikī i ka ike, ae. ʻAʻole mākou e ho'āʻo e komo nui i loko o ka ho'ākāka 'ana, mākou pahuhopu mea i ka hihia. Mākou e huli i ka papa kuhikuhiEʻoi - pehea e huli i ka wahi o ka triangle pono? Ho lakou ia lakou iho e ole paka, ua hōʻike wale haʻilula. E hana i kēia, ke hoakaka i ka designations: A, B, C -ʻaoʻao o ka triangle, nā wāwae - AB, BC. Huina ACB - pololei o ka laina. S - wahi o ka triangle, H _{N N} - ke kiekie o ka triangle, kahi nn - i ka aoao i ka i ka mea ua kuu iho la.

Na Huaolelo 1: Pehea e loaʻa i ka wahi o ka triangle pono ina ua ike no kakou i ka waiwai o ka mea'ē aʻeʻelua

S = 0.5 * i * b.

Na Huaolelo 2: E huli i ka wahi o ka isosceles akau triangle

S = 0.5 * h palena _BC * _BC

3. i ka ho omaulia Ano O rectangle āpana ma

Pau ke kūkulu i ka triangle akau a hiki i ka huinahalike (ina ka triangle isosceles) a me ka rectangle. E loaa i ka mea quadrangle, haku o ka 2'ālike akau triangle mauna. Ma keia hihia, i ka wahi ana o kekahi o ia e e like no ka hapalua o ka wahi o ka huahelu loaa. S rectangle mau hōʻailona i ko huahana aoao. Mākou Kû keia nui M. Ka makemake waiwai e e like no ka hapalua o ka wahi M.

S = 0.5 * M

Kiʻina 4: "Pythagorean lole wāwae." Ke kaulana Pythagorean theorem

Mākou a pau no kona hoike: "i ka huina o mika pāhoʻonui lua o nā wāwae ...". Akā, i kela kanaka keia kanaka ke i aku nei au, aʻaneʻi nō kekahi "lole wāwae". Ka mea i ka mua Pythagoras aʻo i ka pilina ma kahi o ka huinahalike, kūkuluʻia ma kaʻaoʻao o ka triangle ponoi. Ÿana i nä kumu hoohalike i loko o ka lākiō hiʻohiʻona o na mika pāhoʻonui lua, a me ka mea, ua hiki ke lawe maikaʻi-ike haʻilula i nā mea a pau o ko mākou. Ua hiki ke hoʻohana 'when the ike waiwai o kekahi o na aoao elua.

5. A kaʻina e 'imi i ka wahi o ka akau triangle aredea ka haʻilula

Ua mea no hoi he 'ano mea ala o ka helu ana. Ke haʻilula komo ai i ka hōʻike o ka triangle ma ka laulā aiee o kona aoao. No ka mea ho ka mea, mea e pono ke ike i ka nui o nāʻaoʻao a pau o ka triangle.

S = (P-AC) * (P-BC), kahi P = (AB + BC + AC) * 0.5

Ma waho o ka luna, ka mea, he nui no hoi na aoao e loaʻa ia i kekahi waiwai enigmatic aka me he triangle. Iwaena o lakou: no ka i ka ho omaulia ano o ka p ÷ ai i ka ho omaulia ka hoʻohana 'ana i ka vertex wahi, ka hoʻohana' ana o vectors, ka piha nui o sines, tangents kakauia paha circumscribed.