Ka mua hoailona o ka like ana o triangle mauna. Ke lua a me ke kolu o na hoailona o ka like ana o triangle mauna

Mawaena o ka nui helu o polygons, i meaʻano nui 'ole-intersecting paa hou mai la polygonal laina, he triangle - mea he aka i ka mea uuku helu o ka pana pua. Ma na olelo e ae, ia mea he mea iieeaii. Akā, manaʻo huhū kona naau kupono, keia huahelu hūnā i ka hailonaʻana o nā mea pohihihi a me ka hana hoihoi discoveries, i ka Naauao he kūikawā lala o ka makemakika - anahonua. Keia hahau ana ma kula hoʻomaka e ao ana i ka hiku o ka papa, a ua hāʻawiʻia mai "Triangle" theme like kūikawā noonoo. Keiki i aʻo wale na rula o ka huahelu ia iho, akā, no hoi, e hoohalike i ko lākou aʻo '1, 2 a me 3, he hoailona o ka like ana o triangle mauna.

Ka mua hoalauna

Kekahi o na rula mua, e kama'āina i nā haumāna, ka mea hele aku i kekahi mea e like keia: lākou, i ka huina o na pana pua o ka triangle 180. E hookoiaʻi keia, ka mea, ke kala e hoʻohana i ka protractor e ana i kela a me keia o na vertices, a hoʻokomo i nā mea a pau i ka kūpono loina. Alaila, i ka wa a ka ikeia loina mau hiki wawe ka hooholo i ka kolu. No kekahi laʻana: Ma kekahi kihi o ka triangle He 70 °, a me ka mea 'ē aʻe mea - 85 °, i ka nui o ke kolu o ka huina?

180 - 85 - 70 = 25.

Pane: i 25 °.

Hana hiki e hou huikau, ina hoʻokahi wale nō ke koho 'ia huina waiwai, a me ka lua o ka waiwai e pili ana i olelo mai i ka nui o paha Pehea nui o na manawa ka mea, ua oi aku paha emi wale ma.

Ma ka triangle, e hooholo i kekahi a me kekahi o kona kūikawā hiʻona o ka laina, kela mea keia mea o ka i hiki e lawe mai ia i kona inoa iho:

• kiʻekiʻe - ka p ÷ haku laina e holo pololei mai ka vertex a hiki i kaʻaoʻao e ku pono ana;
• a pau ekolu kiʻekiʻe, mālama 'ia ma ka ia manawa, ma ka waena konu o ka huahelu intersect, ho okumu i orthocenter, a, ke kaumaha ma muli o ka' ano o ka triangle hiki e nā loko, a mawaho;
• Median - ka laina e ka luna i ka waena o kaʻaoʻao e ku pono;
• o ka wahi o ka kuʻina o ka Media o kona oolea, o loko o ka shape;
• bisector - laina e holo mai ana, mai ka luna i ka lae o ka kuʻina me kaʻaoʻao e ku pono, i ka wahi o ke kuʻina o ka bisectors ekolu o ka piko o ka kākauʻia p ÷ ai.

Simple truths e pili ana i triangle mauna

Triangle mauna, e like me, nō, a me nā kiʻi a pau i kā lākou mau 'ano a me ka waiwai. E like me ua oleloia, keia aka mea he mea iieeaii, akā, me kona mau ano hiʻona:

• ke alo o ka loa lōʻihi-ʻaoʻao makau mau ke moe me ka nui nui, a me ka hope versa;
• e kū'ē i ka mea like aoao e like pana pua, laʻana - he isosceles triangle;
• i ka huina o ka Kalaiaina pana pua ka manawa like i ka 180 °, i ua mua, ua kakaʻikahi ma luna o lakou i mea hoike;
• holo ana ma kekahiʻaoʻao o ka triangle ua hanaʻia ma kēlāʻaoʻao o ka pā huina a e mau e like me ka huina o ka pana pua, ka mea i ole e pili;
• i kekahi o na aoao elua, he mau emi ma mua o ka huina o na nāʻaoʻaoʻelua, akā, ka hapanui o ko lākou mau oko ao.

'ano o nā triangle mauna

Ke huli nei no ka mea e hiki mai ana ke kahua mea e kuhikuhi i ka pae e i ka hōʻike triangle. Pili ana i ka kekahiʻano hilinaʻi nui ma luna o ka loina o ka pana pua o ka triangle.

• Isosceles - me elua like poe i kapaiaʻaoʻao, i ke kolu o keia hihia hana like kumu kinona. Ka pana pua ma ke kumu o ka triangle i ka ia, a me ka Media e holo ana mai o ka luna, o ka bisector a me ke kiekie.
• Pololei, a he equilateral triangle - o kekahi ma a pau kona aoao i like.
• Mau huinahń loa kekahi o kona mau kihi, he 90 °. Ma keia hihia, ua kapaʻia kaʻaoʻao e ku pono keia huina ka hypotenuse, a me ka mea'ē aʻeʻelua - ka wāwae.
• Huʻi triangle - a pau i ka pana pua i emi ma mua o 90 °.
• Obtuse - kekahi o na pana pua oi aku ia mamua o 90 °.

Like a me ka similarity o triangle mauna

Ma ke kaʻina hana o ka hoʻonaʻauao ua ole wale manaoia kaawale ia kinona, akā, no hoi, e hoohalike i ka triangle mauna elua. A me keia seemingly na mea theme like mai ka hailona no na rula a me theorems i hiki ke hōʻoiaʻiʻo 'ia ka noonoo huahelu - like triangle mauna. Na hoailona o na triangle mauna i ka wehewehena o ka like: na triangle mauna e like ina lākou e like aoao a me ka pana pua i like. Me keia helu kaulike, ina ua hoʻokō i kēia mau kii i kekahi i kekahi, i ko lakou mau laina a pau converge. No hoi huahelu i e like, me ka nui, e pili kūpono kou'ālike kinona, pu ole, wale nō ma ka nui. I mea e hana ia i ka hopena ma luna o ka poe triangle mauna pono e halawai mai i loko o kekahi o ka ana ma lalo nei:

• mau pana pua o kekahi huahelu mea like i mau pana pua o kekahi;
• hapaʻauhau a hiki i kaʻaoʻaoʻelua o nāʻaoʻaoʻelua o ka lua o ka triangle, a me ka pana pua o ka hana aoao e like;
• ekoluʻaoʻao o ka lua o ka huahelu o ka ia me ka mea o ka mea mua.

O ka papa, no ka mea undisputed e hoʻokolokolo pono, a 'aʻole i i ka iki kanalua, e pono i ka ia aiee o nā kumu o nā huahelu, akā, me ka pilikia o ke kumumanaʻo ua nui Nohie, a wale he mau kumu' ae 'ia i ke hooiaio i na triangle mauna.

Ka mua hoailona o ka like ana o triangle mauna

ma luna o ke kumuhana pilikia i Wehewehe i nā hāʻina ma ke kumu o ka hooiaio ana o ka theorem, i heluhelu ia penei: ", Inā kaʻaoʻaoʻelua o ka triangle, a me ka huina a ka mea hana, e like me nāʻaoʻaoʻelua, a me ka huina o ka mea 'ē aʻe triangle, laila, i nā kiʻi i kekahi like i kekahi i kekahi"

E like me ka mea kani hooiaio ana o ka theorem e pili ana i ka hoailona mua o ka like ana o triangle mauna? Ka mea ike i na Hoʻohana mau e like ina ka mea, i ka like loa, a anapuni like ina ka mea, i ka ia ke kahahńnai o. A i loko o ka hihia o ka triangle, aia nō he mau hoailona a me i ka mea hiki ke ea i na kii i'ālike, i ka loa ma ka pono ka hoʻoponopono likeʻole geometric pilikia.

Ke kani ana o ka theorem "ka mua hoailona o ka like ana o triangle mauna", ho'ākāka 'ia ma luna, akā, kona maopopo ai:

• Ke manao nei triangle ABC a me A ₁ B ₁ C ₁ i ka ia aoao AB a me A ₁ B _1, a, niioaaonoaaiii, BC a me B ₁ C _1, a me ka pana pua e i hanaʻia ma kēia mauʻaoʻao i ka ia cia, a laila like. A laila, kau aku ia ma luna o ka ABC △ △ A ₁ B ₁ C _1, kiʻi mākou i ka ń o ka laina a me nā mea a pau vertices. Ua penei i kēia mau triangle mauna e like me ka ia, i mea like.

Theorem "ka mua hoailona o ka like ana o triangle mauna," i kapaia "Ma nāʻaoʻaoʻelua a me nā kihi." Maoli, keia mea i ka pā like o ia.

Theorem ma ka lua o ka hana mana

I ka lua o ka hoailona o ka like ua hooiaio ae like me, ka maopopo ai ua ma muli o ka mea i ke kau ana o na apana ma kēlā me kēia 'ē aʻe, ka mea e'ālike i loko o nā mea a pau o nā poʻo, a me nāʻaoʻao. A theorem kani e like keia: "Inā kekahiʻaoʻao, aʻelua pana pua i loko o ke kahua o ka a ia i ka hana mahiʻai, ka Party a me nā kihiʻelua o ka lua o ka triangle, a laila, i kēia mau kii i'ālike, oa like."

Ke kolu o ka hoailona a me ka maopopo

Inā nā ka 2, a me ka 1 hoailona o ka like Ua pili i nāʻaoʻaoʻelua o nā triangle mauna, pana pua a me ke ano, i ke kolu o ka pili wale ana i na aoao elua. Pela, ke theorem i ke kēia mau hua'ōlelo: "Inā i nāʻaoʻao a pau o ka triangle e like i ka ekoluʻaoʻao o ka lua o ka triangle, i nā kiʻi i'ālike."

E hoao i kēia theorem, ia mea pono e delve i oi aku au mamuli o ka mana o ka like. I mea, ka mea i manaoia e "triangle mauna e like"? Hawaii Five-mai nei ia ina ua hoʻokō i kekahi huahelu i kekahi, a pau no na kumu like, ka mea hiki wale nō ia i ka hihia i ka wa a ko lakou mau aoao a me ka pana pua i like. I ka Ia manawa ka huina e ku pono ana i ka kekahiʻaoʻao, i mea ka ia me ka mea 'ē aʻe triangle mea like i ka like vertex o ka lua o ka huahelu. It E e kaulana ia ma keia wahi o ka hooiaio mea oluolu i ka unuhi i loko o 1 hoailona o ka like ana o triangle mauna. Inā keia ke kaʻina, ua i malama, ka like o ka triangle mauna mea wale ole, koe nae ma na wahi o ka huahelu mea he aniani kiʻi o ka mea mua.

maika'i triangle mauna

Ka 'ole o ia mau triangle mauna mea mau i ka vertex me ka huina 90 °. No laila,ʻo kēia mau māmala'ōlelo e hōʻike ana he oiaio ia mau mea:

• triangle mauna a me ka huina akau e like ina na wawae o ka lua o ka cathetus'ālike;
• na kii i like ina ka mea, e like me ka hypotenuse a me kekahi o na wawae;
• ia triangle mauna e like ina ko lakou mau wawae, a'ālike huʻi huina.

Kēia hiʻona pili i huinahń triangle mauna. E hoao Theorem hoʻohana mail app kinona i kekahi i kekahi, kūpono ma nā wāwae o nā triangle mauna i pelupelu ia ai ia mau pololei hema pololei huina me CA ₁ a me CA aoao.

e pili ana

Ma ka hapanui o na hihia, ma ka hana, e haawi i ka hoailona mua o ka like ana o triangle mauna. I mea, keia seemingly hemahema hoi ka papa no ka anahonua, a pelane anahonua hoʻohana theme like a me ka 7, e hoʻomaulia i ka lōʻihi, no ka mea hoike, i ke kelepona uwea ole ka huahelu wahi, ma i mea e lawe wahi. Ka hoʻohana 'ana i kēia theorem ia mea oluolu ia e ka mea helu, e hooholo i ka loa o ka mokupuni, aia ma ka waena o ka muliwai, me ka holo ma ia. A i 'ole hoʻopuʻipuʻi hou i ka pa ma ka waiho i ka hookolokolo i loko o ke kai kūʻono no laila, i ka mea, ua maheleia i mau like triangle mauna, a e huli i ka luna' oihana mua o ka hana i loko o carpentry a ma ka i ka ho omaulia o ka hermit nei kaupaku nenoaiu i kūkulu.

Ka mua hoailona o ka like ana o triangle mauna mai laula palapala noi i loko o kekahi maoli "makua" ola. Oiai ma ka makahiki kula kiʻekiʻe ka mea, o ke kumuhana no na mea he nui mea manakā, a ihola ia hoʻokali kūpono '.