Nā hana no nā ʻohana

He aha ka mea e hana ʻia inā ʻae wale ʻoe i nā huinahā o kekahi mau nui, e like me 1 ma 1, 2 ma 2, a me 3 ma 3? He aha ka mea e hana ʻia ke hoʻopiha ʻia nā kiʻi ʻē aʻe me nā kiʻi i loaʻa ke ʻano like?

Eia kekahi laʻana, e hoʻohana i nā kiʻi he mau huinakolu maʻamau (nā huinakolu me ko lākou mau ʻaoʻao a pau i ka lōʻihi like). ʻO wai nā kiʻi e hoihoi i ka noiʻi ʻana ma kēia ʻano?

Ke hoʻopiha nei i nā ʻāpana me nā kinona - Hoʻolauna

Ke manaʻo nei he papa chess 8 x 8 kāu a he hōʻiliʻili kāu o nā tile 1 x 2. ʻO ka loaʻa ʻana o kahi ala e uhi pono ai i ka papa chess me 32 o kēia mau tile 1 x 2 he maʻalahi ia.

E hoʻomaka kākou e wehe i kekahi mau huinahā mai ka papa chess a ʻike i ka mea e hana ʻia. Inā ʻoe e wehe i kekahi kihi o ka papa chess, ʻike koke ʻoe ʻaʻole hiki iā ʻoe ke uhi hou i ka papa chess me nā tile no ka mea e uhi mau nā tile i kahi helu like o nā huinahā, a aia i kēia manawa he 63 mau huinahā e uhi ai. ʻAe, e wehe i ʻelua kihi e hana i kahi helu like o nā huinahā i koe - hiki iā ʻoe ke uhi iā ia i kēia manawa? Aia ka pane i nā kihi ʻelua āu e wehe ai. No ke aha? He aha inā ʻaʻole ʻoe e kaupalena hou iā ʻoe iho i ka wehe ʻana i nā kihi, he aha ka mea e hana ʻia?

Ka Ikepili

E ʻae i kāu keiki e pāʻani me kēia ma mua o ka hōʻike ʻana i ka manaʻo kala. Inā pāʻani lākou a puni me nā papa liʻiliʻi, hiki iā lākou ke ʻike i ke kānāwai ma o lākou iho, a ʻoi aku ka maikaʻi o ia mau mea.

ʻO kahi nānā ʻana e kōkua nui ana me kēia nīnau, ʻo ia ka hoʻohana ʻana i ke kala ʻana o nā huinahā o ka papa chess. Inā ʻoe e lawe i nā tile 1 a 2 a hoʻoluʻu i kekahi huinahā i keʻokeʻo a ʻo kekahi i ʻeleʻele, e ʻike ʻoe i kahi mea hoihoi e hana ʻia ana. Pono kēlā me kēia tile e uhi i kahi huinahā o kēlā me kēia kala. ʻAʻole wale nā ​​​​tile k e uhi i nā huinahā 2xk, akā e uhi lākou i nā huinahā keʻokeʻo k a me nā huinahā ʻeleʻele k - ka helu like o nā huinahā o kēlā me kēia kala. Ma ka hoʻohana ʻana i kēia manaʻo, ua maopopo inā ʻoe e wehe i nā huinahā o hoʻokahi kala ma mua o kekahi, ʻaʻole hiki ke uhi i ka papa.

Inā makemake kāu keiki i kēia mau nīnau, e hoʻomaka e hoʻohana i nā ʻano ʻē aʻe e hoʻopiha i ka papa. E pāʻani a puni me ka hoʻopiha ʻana me nā tile 1 x 3 a i ʻole me 3 mau huinahā i ke ʻano L. He aha nā ʻano a me nā lula āu e ʻike ai me kēia? He aha nā ʻano ʻē aʻe e hoihoi paha e pāʻani ai?

Ke hoʻopiha ʻana i nā huinahā me nā huinahā - Hoʻolauna

Ma nā ʻano hea e hiki ai iā ʻoe ke hoʻopiha i kahi huinahā me nā huinahā ʻē aʻe, kahi ʻaʻole pono nā huinahā ʻē aʻe e like ka nui? Eia nō naʻe, ʻaʻole hiki i nā lōʻihi ke lilo i mau helu kaulele loa - pono ka lōʻihi o ka ʻaoʻao o kēlā me kēia huinahā i kekahi helu holoʻokoʻa o kahi lōʻihi paʻa. ʻO ka nīnau e noiʻi ai: He aha nā helu āpau o nā huinahā i hiki? Eia kekahi, inā ʻike ʻoe he hiki ke helu ʻia, aia kekahi ala maʻalahi e wehewehe ai pehea e hana ai?

E ʻae i kāu keiki e pāʻani me ia i nā lā he nui a mai wikiwiki e kiʻi i ka pane. Nui nā ʻano like ʻole e hiki mai ai me nā manaʻo no kēia noiʻi, no laila e maʻalahi a hana pū me nā manaʻo o kāu keiki. Eia kahi kiʻikuhi e hōʻike ana pehea e hiki ai ke 6.

Ka Ikepili

He manaʻo maikaʻi mau ka hana ʻana i kekahi mau laʻana wikiwiki. ʻO ka wāwahi ʻana i ka huinahā nui i nā huinahā like ka nui ma ke ʻano he hoʻomaka maʻalahi. Mai ia mea ua ʻike ʻoe e hana ana nā helu huinahā (1, 4, 9, 16, 25, …).

Ma ka hana ʻana me ka laʻana 6 huinaha, hiki iā mākou ke hoʻohana i hoʻokahi huinaha nui o kēlā me kēia nui a kau i nā huinaha 1 ma 1 ma nā ʻaoʻao ʻelua. Ke hana nei i kēlā no nā huinaha nui aʻe (1 ma 1, 2 ma 2, 3 ma 3,…) loaʻa iā mākou 1 + 3 = 4, 1 + 5 = 6 (e like me ke kiʻi), 1 + 7 = 8, 1 + 9 = 10, a pēlā aku. No laila, hiki ke hana ʻia nā helu like a pau e hoʻomaka ana me ka 4 ma kēia ʻano.

ʻO kahi manaʻo ikaika e hoʻopau koke i kēia, ʻo ia ka ʻike ʻana hiki iā mākou ke lawe i kahi kiʻikuhi e hana ana, a pani i kekahi o kona mau huinahā e kekahi kiʻikuhi ʻē aʻe e hana ana. No laila, no ka laʻana, inā ʻoe e lawe i kahi 2 ma 2 maʻalahi i hoʻopiha ʻia me 4 1 ma 1 mau huinahā, a pani ʻoe i kekahi o kēlā mau huinahā 1 ma 1 me ka laʻana 6-kuāhā, e loaʻa iā ʻoe ke kiʻikuhi i hōʻike ʻia ma ka ʻākau me 9 mau huinahā.

No ka mea, ke pani ʻia nei kekahi huinahā e kahi kiʻikuhi huinahā-n, ʻo ka loli ʻupena o ka helu o nā huinahā, ʻo ia ka hoʻohui ʻana i ka n-1 o lākou. ʻO ia hoʻi, hiki iā kākou ke lawe i hoʻokahi helu e hana ana, a hoʻohui i nā huinahā o hoʻokahi i emi iho ma mua o ia i kekahi helu ʻē aʻe e hana ana. Ma ke ʻano kūikawā, hiki iā kākou ke hoʻohui i nā huinahā o 4 -1 = 3 i kekahi helu ʻē aʻe e hana ana - ʻo nā mea maʻalahi e hoʻohui i ka 3, ʻo ia nā helu like e hoʻomaka ana me ka 4.

ʻO ka hui pū ʻana o kēlā mau mea a pau, ʻōlelo ʻia ua hana nā helu 1, 4, 6, 7, 8, 9, … a pau, a he mea maʻalahi ke ʻike i hoʻokahi ala maʻalahi e kūkulu ai iā lākou. He mea maʻalahi hoʻi ke hōʻoiaʻiʻo iā ʻoe iho he mea hiki ʻole ka 2, 3, a me 5.

Inā makemake kāu keiki e ʻimi i kēlā nīnau, e ʻimi i nā ʻano like ʻole o kēia kumuhana. Manaʻo ʻoe e ʻae wale i nā huinahā o kekahi mau nui - e like me 1 ma 1, 2 ma 2, a me 3 ma 3. A i ʻole e ʻae wale i 2 ma 2 a me 3 ma 3. E ʻike i nā nīnau e alakaʻi ai i nā hopena hoihoi a ʻo nā mea ʻaʻole hoihoi loa.

ʻO kekahi kuhikuhi e nānā ai, ʻo ia ka hoʻopiha ʻana i nā kiʻi ʻē aʻe me nā kiʻi i loaʻa ke ʻano like. No ka laʻana, e nīnau i ka nīnau like no nā huinakolu maʻamau (nā huinakolu me ko lākou mau ʻaoʻao a pau i ka lōʻihi like). He mea hoihoi kekahi mau kiʻi e noiʻi ma kēia ʻano, a ʻaʻole hoihoi iki kekahi - ʻo wai nā mea?

Ua manaʻo ʻia nā noiʻi no kāu keiki e pāʻani ai a noʻonoʻo ai. E ʻae i kāu keiki e ʻimi i kēia mau mea e ʻimi ana i nā ʻano hoihoi a me nā pilina nani. E pale aku i ka hoʻowalewale e hōʻike i ka mea e hana nei a hāʻawi i ka pane. Inā me he mea lā ua hiki kāu keiki i kahi hopena make, e paipai iā lākou e hoʻi hou i ka noiʻi i ka manawa e hiki mai ana e pāʻani hou me ia.

He nui nā noiʻi e pōmaikaʻi mai ka hoʻonohonoho ʻana i nā hopena, a he mea maikaʻi kēia nou e kōkua ai i kāu keiki. E kōkua iā lākou e hana i nā papa, nā kiʻi, a i ʻole nā ​​mea e kōkua iā lākou e ʻike maʻalahi i ka mea e hana nei. A ʻoiaʻiʻo hoʻi, he mea maikaʻi loa ke hāʻawi iā lākou i nā paipai mālie i kēlā me kēia manawa ma ke ala kūpono. E hoʻomanaʻo e aʻo nui kāu keiki ma ka hoʻomohala ʻana i ke ahonui a me ke aʻo ʻana pehea e nānā hohonu ai i nā mea.