Pehea e hoʻoponopono i ka helu kaulike o ka laina ma ka mau wahi?

Makemakika - ka 'epekema ua ole manakā me ka mea āu i manawa. Ua loaʻa he hailona o ka hana hoihoi, oiai nae i kekahi manawa incomprehensible no ka poe mea ole eager e ike ia. I kēia mau lā mākou e kūkākūkā i kekahi o ka loa, he pono ole, a hemahema hoi mea ma ka makemakika, akā, e aho i kona mahinaʻai ana ma luna o ka verge o ka hōʻailona helu a me ka anahonua. E ka kamailio e pili ana i nā moʻopuna a me nā helu kaulike. Ua makemake mea ia ia mea he manakā kula kumuhana, a 'aʻole i bode hana hoihoi a me ka mea hou. Naʻe, i kēia mea,ʻaʻole i ka hihia, a ma keia 'atikala mākou, e ho'āʻo e hooiaio ia oe i ko makou wahi o ka Hawaii. Mua oe e hele i ka loa hana hoihoi, a wehewehe i ka helu kaulike o ka laina ma nā heluʻai, ua nana i ka mōʻaukala o nā mea a pau mau ana, a laila, loaʻa mai ke kumu a pau i kēia mea e pono ai, a no ke aha la manawa, aole e hana ino i ka ike i ka hope o nā papakuhikuhi.

moʻolelo

ʻO i kahiko makemakika leʻaleʻa o geometric? Ieoaeunoaa iauaeoia a me nāʻano o nā pakuhi. He paʻakikī i ka olelo i keia la, ka mea i mua dala i ka helu kaulike o ka laina ma ka mau wahi. Akā, ua hiki kuhi i keia kanaka i ka Euclid - Helene nä känaka 'epekema a me ka poe akeakamai. Ua i aku la ia mea i loko o kona hoonoho "Inception" Ua engendered i ke kumu no ka wā e hiki mai Euclidean anahonua. Ano keia lala o ka makemakika ua manaoia e ia i ke kumu o ka geometric e hoohalike ai o ko ke ao nei, a ao mai la ia ma ke kula. Akā, e pono ke kuai i ka i ana i Euclidean anahonua mea i pololei ia i ka nunui kiʻekiʻe i loko o kā mākou ekolu-dimensional e kaha wale. Inā o ka makahiki, ua noonoo, ia mea i mau mea hiki e noonoo ai i na hoʻohana 'ana i ka mea, a pau naʻike manaʻo e lawe wahi ma laila.

Ma hope o Euclid he'ē aʻeʻepekema. A? Ac? La lakou, a conceptualized mea ana i ike a me ka palapala. Ma ka hopena, e huli mai i ka napoo kahua o ka anahonua, kahi mea a pau nō koe unshakeable. A no na tausani o ka makahiki ia e holo, i ka helu kaulike o ka laina ma ka mau wahi e hana i ka loa a me ka mea maʻalahi. Akā, ma mua lede i ka wehewehe ana pehea e hana i kēia, e kūkākūkā mākou i kekahi kumumanaʻo.

kumumanaʻo

Direct - he kikoo pau ole i loko o nāʻaoʻao, a hiki ke maheleia i loko o ka mana loa helu o Hoʻohana o kekahi lōʻihi. I mea e haawi aku ai ia pololei ka laina, nā kiʻi loa mau i hoʻohana. A, pakuhi, he hiki e nā elua-dimensional a me ekolu-dimensional i kahi kūlike o nenoaiu i loko. Ka mea, i ka nānā 'ana ma luna o ka wahi o nā kumu, e pili ana i ka. Ma hope o nā mea a pau, ina pololei o ka laina, ua noonoo, ua hiki ke ike i ka mea he o ka mana loa helu o ke kumu.

Eia naʻe, he mea kekahi i pololei ka loa okoa mai nāʻano o nā laina. Kēia mea i kona helu kaulike. Ma kekahi mau hua'ōlelo, ka mea, o loa mea, e like, e olelo aku, he kaiapili helu kaulike. He oiaio, kela mea keia mea o mākou i ka mea i loko o ke kula kiʻekiʻe. Akā nō kakau ia i ka mau palapala: y me = kx + b. I ka lalo nei, e ike kakou i pono i kela mea keia mea o kēia mau palapala, a pehea e hana me keia uncomplicated helu kaulike o ka laina maalo ae la oia ma ka mau wahi.

Ka helu kaulike o ka pololei o ka laina

Ka like ana i ua hōʻike ma luna, a me ia mea e pono ke olelo mai i ka helu kaulike. E E möakäka hou nei i 'o ia hoʻi. I hiki ke koho koke, y me a x - na wahi o kela a me keia wahi no a hiki i ka laina. I mau, ke helu kaulike mea loaʻa wale nō no ka mea, o kela mea keia wahi o kekahi laina kamaʻilioʻana i ia i loko o ka huipūʻana me nā kumu, a nolaila, he mea i kānāwai e kuhikuhi ana kekahi i kahi kūlike i kekahi. Kēia kānāwai Ho'ākāka 'i ka nana aku o ka helu kaulike o ka pololei o ka laina ma ka haawi nui elua.

No ke aha la i elua mauʻai? I keia no ka mea, o ka palena iki helu o nā kumu i koi 'ia no ka hana ana i pololei ka laina i loko o nā Ana mea mau. Inā mākou e lawe i ka ekolu-dimensional wa, o ka helu o nā kumu i koi 'ia no ka hana o ka hookahi pololei laina e hoi e like i elua, e like me ka ekolu puan ano lakou i ka pelane.

Aia Ua hoi he theorem, ka hooiaio ana ma kekahi mau wahi mea hiki ke hana i hookahi pololei laina. Kēia mea hiki ke hōʻoia i ka hoʻomaʻamaʻa, ai pili aku laina elua huikau ka helu ma ka pakuhi.

Ano, e kekahi mau 'hoʻohālike iā mākou noonoo a me ka hōʻike pehea e hana me keia notorious helu kaulike o ka laina maalo ae la oia ma ka haawi nui elua.

Eia kekahi laʻana

E hoomanao i nā heluʻai, ma a oe pono e kūkulu i ka laina. Mākou i hoakaka i ko lakou kulana, no kekahi laʻana, M ₁ (2, 1) a me ka M ₂ (3; 2). Like, ua ike mai o ka makahiki kula, ka mea mua i kahi kūlike o - o ka waiwai o ka iho (axis) bipi, a me ka lua o ka - ma ka iho (axis) ahola. Na keia Ua Ua he pololei helu kaulike o nā hua'ōlelo, a me ia mākou i aʻo i ka nalowale kiko'î a ke Kalapu a me ka b, e pono e kau aku i kekahi ano o ka elua nā helu kaulike. I mea, ia e e haku i mau nā helu kaulike, kela mea keia mea o ka a, e ia kā mākou mau mea ike ole ia a eia i:

1 = 2k + b.

2 = 3k + b.

Ano, koe ka mea nui wale nō: e hoʻoponopono i kēia kahua. Keia ua hana loa wale. E hoike i ka hoʻomaka o ka mua helu kaulike b.: B = 1-2k. Ano, ke i, e panai i ka kūpono helu kaulike i loko o ka lua o ka helu kaulike. Keia ua hanaia ma ka ke kūapoʻana e ma mākou kūpono helu kaulike.

2 = 3k + 1-2k

1 = K;

Ano, ia mākou i ka mea o ka waiwai o ke kaʻi lau waiwai ke k, ia ka manawa e aʻo i ka waiwai o ka mea kēia a eia i - b. Ua lilo i maʻalahi. ua ike i ke kaukaʻi o e ma luna o ia ho hope, ua hiki ke panai i ka waiwai o ka mea hope i loko o ka helu kaulike mua, a imi i ka ike ole cia:

b. = 1-2 * 1 = -1.

Ike nā coefficients, kēia manawa, ua hiki panai ia i loko o ka palapala nui helu kaulike o ka laina ma ka mau wahi. Ke'ōlelo mai, no ka mākou kekahi laʻana, ua loaa ka mea kēia helu kaulike: y me = m-1. 'O kēia ka makemake e hoʻokolokolo pono, a mākou i manao iho e kiʻi.

Mua oe i lele i hiki i ka hopena, ua kūkākūkā i ka palapala noi o keia lala o ka makemakika ma ka maʻamau o ke ola.

palapala noi

E like me ia, me ka noi o ka helu kaulike o ka laina pololei ma ka mau wahi mea ole. Akā, i kēia 'aʻole i manaʻo i ka mea mea e pono ai no mākou. I ke kālaikūlohea a me ka makemakika ua nui 'Imi i hoʻohana nā helu kaulike o na laina, a me ka waiwai kūpono mea. Oe e ole i nana ole ia, akā, i ka makemakika a puni mākou. E like me neia seemingly unremarkable kanaka i helu kaulike o ka laina ma ka mau mea nui loa pono keia mau mea i ka mea a me ka loa pinepine pili i ke kumu kiʻekiʻe. Inā i mua kilohi ia mea i keia mea wahi hiki e pono keia mau mea, a lailaʻoe e hewa. Makemakika e hoʻomōhala ana i Logical noʻonoʻoloi, a e loa ia no.

ka hopena

Ano, i ka wa a makou i kii mai pehea e kūkulu i ka pololei mauʻikepili heluʻai, manaʻo mākou mea e pane i kekahi ninau e pili ana i keia. No ka laʻana, ina he kumu olelo mai ia oe, "E kakau iho i ka helu kaulike o ka laina e hele ma nā heluʻai", a lailaʻoe e ole e paʻakikī e hana ai. E manaolana aku kakou i keia 'atikala i Ua kōkua maikaʻi ia oe.