Mohlala oa Lipotso tsa Puisano ea ho Thuisa ka Lipalo
Lipalo ke thuto ea bohlokoa haholo bophelong ba letsatsi le letsatsi. Sehlooho se seng se rutoang khafetsa likolong ke ho thuisa. Ho thuisa, lipalong, ke phetoho ea jeometri e bonts'ang ntlha e 'ngoe le e 'ngoe ea setšoantšo ho pholletsa le mola o fanoeng, e leng se fellang ka setšoantšo se lekanang. Sehloohong sena, re tla tšohla mehlala ea mathata a ho thuisa ka lipalo le litharollo tsa 'ona.
Tlhaloso ea ho Thuisa
Pele re kena lipotsong, a re utloisiseng tlhaloso ea ho thuisa. Ho thuisa ke phetoho e hokahanyang ntlha e 'ngoe le e 'ngoe nthong ho ea ntlheng e 'ngoe e hole ka ho lekana le mola oa ho thuisa le ka lehlakoreng le leng la ntho ea pele. Mola ona oa ho thuisa hangata o bitsoa axis ea ho thuisa.
Tse ling tsa li-axes tse sebelisoang haholo tsa ho bonahatsa:
1. Mokhahlelo oa X (y = 0)
2. Mokhahlelo oa Y (x = 0)
3. Mola y = x
4. Mola y = -x
Ka kutloisiso ena, re ka fetela lipotsong tsa mohlala le puisanong ea tsona.
Lipotso tsa Mehlala le Puisano
Potso ea 1: Ho nahana ka mothapo oa y
Potso: Hlahisa ntlha A(3, 5) hodima mothapo wa y.
Puisano:
Ho nahana ka ntlha mabapi le mothapo wa y ho fetola kgokagano ya x ho ba negative, ha boleng ba y bo dula bo sa fetohe. Kahoo, ho bonahatsa ntlha ya A(3, 5) ke:
– Ho hokahanya x: diphetoho tse 3 ho -3
– Khokahano ea y e tsitsitseng: 5
Kahoo, ntlha ea ho bonahatsa ke A'(-3, 5).
Potso ea 2: Ho nahana ka x-axis
Potso: Hlahisa ntlha B(-4, -6) hodima x-axis.
Puisano:
Ho nahana ka ntlha e mabapi le x-axis ho fetola y-coordinate ho ba negative, ha boleng ba x bo dula bo sa fetohe. Kahoo, ho bonahatsa ntlha ya B(-4, -6) ke:
– Khokahano ea x e tsitsitseng: -4
– Coordinate y: -6 liphetoho ho 6
Kahoo, ntlha ea ho bonahatsa ke B'(-4, 6).
Potso ea 3: Ho nahana ka mola y = x
Potso: Hlahisa ntlha C(2, 7) hodima mola wa y = x.
Puisano:
Ho bonahatsa ntlha e mabapi le mola y = x ho fetola dikhokahano (x, y) ho (y, x). Kahoo, ho bonahatsa ntlha C(2, 7) ke:
– Ho hokahanya x: Liphetoho tse 2 ho ea ho tse 7
– Coordinate y: liphetoho tse 7 ho ea ho tse 2
Kahoo, ntlha ea ho bonahatsa ke C'(7, 2).
Potso ea 4: Ho nahana ka mola oa y = -x
Potso: Hlahisa ntlha D(-3, 4) hodima mola wa y = -x.
Puisano:
Ho bonahatsa ntlha e mabapi le mola wa y = -x ho fetola dikhokahano (x, y) ho ba (-y, -x). Kahoo, ho bonahatsa ntlha ya D(-3, 4) ke:
– Hokahanya x: -3 diphetoho ho -4
– Coordinate y: liphetoho tse 4 ho ea ho tse 3
Kahoo, ntlha ea ho bonahatsa ke D'(-4, -3).
Potso ea 5: Ponahalo ea khutlotharo mabapi le mothapo oa y
Potso: Bontsha khutlotharo ka dintlha P(3, 2), Q(5, -1), le R(4, 4) mabapi le mothapo wa y.
Puisano:
Ho bonahatsa khutlotharo ho potoloha mothapo wa y ke taba feela ya ho bonahatsa dintlha tse tharo ka bonngoe.
A re nahaneng ka ntlha ka 'ngoe:
– Ntlha P(3, 2) e fetoha P'(-3, 2)
– Ntlha Q(5, -1) e fetoha Q'(-5, -1)
– Ntlha R(4, 4) e fetoha R'(-4, 4)
Ka hona, khutlotharo e hlahang e na le dintlha P'(-3, 2), Q'(-5, -1), le R'(-4, 4).
Potso ea 6: Ponahalo ea khutlonnetsepa e mabapi le x-axis
Potso: Bontsha khutlonnetsepa ka dintlha S(1, 3), T(1, 6), U(4, 6), le V(4, 3) mabapi le x-axis.
Puisano:
Ho bonahatsa khutlonnetsepa ho potoloha x-axis ke taba feela ea ho bonahatsa lintlha tse 'ne ka bonngoe.
A re nahaneng ka ntlha ka 'ngoe:
– Ntlha S(1, 3) e fetoha S'(1, -3)
– Ntlha T(1, 6) e fetoha T'(1, -6)
– Ntlha ea U(4, 6) e fetoha U'(4, -6)
– Ntlha ea V(4, 3) e fetoha V'(4, -3)
Ka hona, khutlonnetsepa e hlahang e na le dintlha S'(1, -3), T'(1, -6), U'(4, -6), le V'(4, -3).
Potso ea 7: Ho nahanisisa moleng y = x mosebetsing o otlolohileng
Potso: Bontsha tshebetso f(x) = 2x + 3 moleng wa y = x.
Puisano:
Ho bonahatsa mosebetsi o otlolohileng moleng wa y = x ho hloka phetoho ho tloha sebopehong sa y = f(x) ho ya ho x = f(y). Ebe re rarolla bakeng sa y.
Mohlala, y = 2x + 3. Ho nahana ka mola y = x ho ba:
– x = 2y + 3
Ho rarolla bothata ba y:
– x – 3 = 2y
– y = (x – 3) / 2
Kahoo, phetoho ena e hlahisa mosebetsi oa ponts'o y = (x - 3) / 2.
Potso ea 8: Ho nahana ka mola oa y = -x mosebetsing o otlolohileng
Potso: Bontsha tshebetso g(x) = -x + 4 moleng wa y = -x.
Puisano:
Bakeng sa ho nahana ka mola wa y = -x, re hloka phetoho ho tloha ho y = g(x) ho ya ho x = -g(y). Ebe:
Mohlala, y = -x + 4. Ho nahana ka mola y = -x ho ba:
– x = -(-y + 4)
– x = y – 4
Ho rarolla bothata ba y:
– y = x + 4
Kahoo, phetoho ena e hlahisa mosebetsi oa ho bonahatsa y = x + 4.
Qetello
Ho thuisa ka lipalo ke sesebelisoa se matla sa ho utloisisa ho lekana le liphetoho tsa jeometri. Ka ho utloisisa hore na ho thuisa ho sebetsa joang ka li-axes le mela e fapaneng, re ka rarolla mefuta e mengata ea mathata habonolo. Sengoloa sena se hlahisitse mehlala e 'maloa ea mathata le lipuisano mabapi le ho thuisa. Ho ikoetlisa ka mokhoa o tsitsitseng le ho utloisisa melao-motheo ea motheo ea ho thuisa ho tla thusa haholo ho tseba mohopolo ona.
Ka ho utloisisa le ho tseba mohopolo oa ho thuisa lipalo, re ka utloisisa habonolo mekhoa, liphetoho le ts'ebeliso ea jeometri likarolong tse fapaneng tsa bophelo ba letsatsi le letsatsi.
