Anter
ʻO ka ʻGlelo Algebraic ʻO ia ka mea e ʻae e hōʻike i nā pilina makemakika. Hiki i nā mea ke hana i ka ʻōlelo algebraic ke lawe i ke ʻano o nā helu, nā leka a i ʻole nā ʻano o nā mea hana makemakika.
ʻO nā hanana nui i loaʻa i ke kahua o kālailai makemakika, algebra a me geometry hiki ʻole iā lākou ke noʻonoʻo ʻole me ka ʻole o kahi ʻōlelo synthetic maʻamau e hōʻike ana i nā pilina ma ke ʻano univocal a me ke ao holoʻokoʻa. ʻIke ʻia i kēia ala, kōkua ka ʻōlelo algebraic i nā abstractions kūpono i ʻepekema kūlana.
Nā laʻana o nā manaʻo algebraic
Eia kekahi mau laʻana o nā manaʻo i ka ʻōlelo algebraic:
- 5 (A + B)
- X-Y
- 52
- 3X-5Y
- (2X)5
- (5X)1/2
- F (X) = Y2
- 96
- 121/7
- 1010
- (A + B)2
- 100-X = 55
- 6 * C + 4 * D = C2 + D2
- F (X, Y, Z) = (A, B)
- 3*8
- 112
- F (X) = 5
- (A + B)3/ (A + B)
- LN (5X)
- y = a + bx
Nā ʻano o ka ʻōlelo algebraic
I nā hihia kikoʻī o nā kaulike, ka 'ʻIke ʻole', He aha lākou nā leka i hiki ke pani ʻia e kekahi helu, akā hoʻololi ʻia i nā koina o ka hoʻohālikelike ua hoʻemi ʻia lākou i hoʻokahi a i ʻole kekahi.
I ka hihia o nā kaulike ʻole, ʻo ka hoʻololi ma waena o ka pilina o ka 'like' me kekahi o 'ʻoi aku' a i ʻole 'emi' ʻo ia hoʻi ma kahi o ka loaʻa ʻana o nā hopena kū hoʻokahi, ʻike mākou i kahi pae pane.
ʻO ka mea hope loa, pono e hoʻomaopopo ʻia ma mua o ka hoʻokumu ʻia ʻana o nā pilina laulā, ʻaʻole hiki i kekahi mau helu ke hoʻokō iā lākou: i ka a mahele A / B (ʻo ka helu o nā helu ʻelua), he ʻokoʻa ka helu 0 a ʻaʻole hiki ke lilo i ka waiwai o 'B'.
Mālama ʻia ka ʻōlelo algebraic e a nā ʻano hana like ʻole e maʻalahi ai ka hana o ka loiloi makemakika, a kuhi paha i kekahi mau ʻoiaʻiʻo. No laila, no ka laʻana, i ka loaʻa ʻole o kahi hōʻailona ma waena o ʻelua wae, ua manaʻo ʻia ke hoʻonui nei kēia mau anakuhi.
No laila, hiki ke haʻalele ʻia ka hōʻailona 'for' i hōʻike ʻia ma ke ʻano he 'X' a i ʻole ' *', no laila e manaʻo ʻia ka hana huahana. I kekahi ʻaoʻao, hiki ke hōʻike ʻia kekahi mau pilina ma nā ʻano like ʻole.
ʻO ka hana ʻē aʻe o ka potentiation he radication (e like me kahi laʻana, aʻa huinahā); hiki ke kākau ʻia nā manaʻo āpau o kēia ʻano he mana, akā me ka exponent haʻihaʻi. No laila, e ʻōlelo ana 'ke kumu huinahalike o A' me ka ʻōlelo 'A hāpai ʻia i ½'.
ʻO kahi hana hou aʻe o ka ʻōlelo algebraic, ʻoi aku kahi kikoʻī ma mua o nā pilina maʻalahi ma waena o nā waiwai a i ʻole ʻike ʻole ʻia, ʻo ia ka mea e ala aʻe i ka papa o nā hana: ʻo kēia ʻōlelo ka mea i hiki ai i ka manaʻo kumu o nā loli e kūʻokoʻa a e hilinaʻi ʻia, i nā hihia o nā pilina i hiki ke hōʻike i nā kiʻi. Hoʻohana nui kēia i ke aupuni o ka hapa nui o nā ʻepekema e pili ana i ka makemakika.
