Lipalong, moepa kapa lekhalo la mola ke nomoro e hlalosang tsela le moepa oa mola (mohoo Wikipedia). E baloa ka ho fumana karo-karolelano ea phetoho ho khokahanyo ea y ho phetoho ea x-coordinate pakeng tsa lintlha tse peli tse fapaneng moleng.

Ka mohlala, haeba u na le lintlha tse peli moleng, (1,2) le (3,4), letsoapo la mola pakeng tsa bona ke (4-2)/(3-1) = 2/2 = 1. Re tla fihla ho sena haufinyane.

Moepa ke mohopolo oa bohlokoa oa lipalo mme o na le lits'ebetso tse ngata tsa lefats'e la nnete. Ka mohlala, e ka sebelisoa ho bala lebelo la ntho e itseng, lebelo la ho fetoha ha mosebetsi, kapa moepa oa leralla.

Lefatšeng la 'nete, moepa o sebelisoa mafapheng a fapaneng a kang jeokrafi, boenjiniere ba sechaba, boqapi le fisiks. Geography, moepa o sebelisoa ho hlalosa moepa oa bokaholimo ba lefatše. E sebelisoa ho etsa mohlala oa metsi a phallang holim'a metsi, ho tšoaea sebaka sa bolulo, ho arola mobu, ho lekola bokhoni ba nts'etsopele, le mohlala oa kotsi ea mollo o hlaha.

Boenjiniere ba sechaba, moepa o sebelisoa ho rala litsela, marokho le meaho e meng. E sebelisoa ho fumana mokhoa o motle oa ho phethela morero le ho aha litselana tsa litulo tsa batho ba holofetseng, litsela le litepisi.

Meahong, moepa o sebelisoa ho rala meaho le meaho e tsitsitseng le e bolokehileng. Ho fisiks, letsoapo le sebelisoa ho hlalosa lebelo la ntho ka nako.

Ke bolela ho bua ka bohlokoa...

Mehopolo ea Motheo ea Moepa

Moepa o baloa e le karo-karolelano ea phetoho e emeng (ho phahama) ho ea ho phetoho e rapameng (matha) lipakeng tsa lintlha tse peli moleng.

Foromo ea moepa e hlalosoa e le m = (y2 – y1) / (x2 – x1).

Foromong e kaholimo, ho na le lintlha tse peli, joale ntlha ka 'ngoe e na le y valve le boleng ba x. Khokahano ea ntlha1 ke (x1, y1) le ea ntlha2 ke (x2, y2) joalokaha ho bontšitsoe setšoantšong se ka holimo.

Ho na le mefuta e mene ea matsoapo: positive, negative, zero, le tse sa hlalosoang.

Moepa o motle o bontša hore mola o ntse o eketseha ho tloha ho le letšehali ho ea ho le letona, ha moepa o fosahetseng o bontša hore mola o fokotseha ho tloha ho le letšehali ho ea ho le letona.

Moepa oa lefela o bontša hore mola o tšekaletse, ha moepa o sa hlalosoang o bontša hore mola o otlolohile.

Setšoantšo se ka tlase se bontša mefuta e fapaneng ea matsoapo:

Ho Bala Moepa: Tataiso ea Mohato ka Mohato

Karolong ena, re tla be re tsamaea ka tataiso ea mohato ka mohato mabapi le mokhoa oa ho bala moepa

Ka tlase ke tataiso ea mohato ka mohato mabapi le mokhoa oa ho bala moepa:

1. Hlalosa lintlha tse peli moleng.
2. Khetha ntlha e le 'ngoe hore e be (x1, y1) 'me e 'ngoe e be (x2, y2).
3. Fumana phetoho e emeng (ho phahama) ka ho tlosa likhokahano tsa y tsa lintlha tse peli.
4. Fumana phetoho e tšekaletseng (matha) ka ho tlosa likhokahano tsa x tsa lintlha tse peli.
5. Arola phetoho e otlolohileng ka phetoho e rapameng (e phahama holim'a matha) ho fumana moepa.

Mona ke mohlala ho bontša mehato e ka holimo:

A re re re na le lintlha tse peli moleng, (1, 2) le (3, 6).

Re ka bala moepa oa mola ka tsela e latelang:

1. Hlalosa lintlha tse peli moleng: (1, 2) le (3, 6).
2. Khetha ntlha e le 'ngoe hore e be (x1, y1) 'me e 'ngoe e be (x2, y2): Ha re khethe (1, 2) joalo ka (x1, y1) le (3, 6) joalo ka (x2, y2).
3. Fumana phetoho e emeng (e phahama) ka ho tlosa likhokahano tsa y tsa lintlha tse peli: 6 - 2 = 4.
4. Fumana phetoho e otlolohileng (matha) ka ho tlosa likhokahano tsa x tsa lintlha tse peli: 3 - 1 = 2.
5. Arola phetoho e otlolohileng ka phetoho e otlolohileng (e phahama ho feta) ho fumana moepa: 4/2 = 2.

Ka hona, Moepa ke 2. Ke hore, moepa o motle

Mohlala o mong ke ona o bontšang mehato e ka holimo:

A re re re na le lintlha tse peli moleng, (3, 7) le (1, 10).

Re ka bala moepa oa mola ka tsela e latelang:

1. Hlalosa lintlha tse peli moleng: (3, 7) le (1, 10).
2. Khetha ntlha e le 'ngoe hore e be (x1, y1) 'me e 'ngoe e be (x2, y2): Ha re khethe (3, 7) joalo ka (x1, y1) le (1, 10) joalo ka (x2, y2).
3. Fumana phetoho e emeng (e phahama) ka ho tlosa likhokahano tsa y tsa lintlha tse peli: 10 - 7 = 3.
4. Fumana phetoho e otlolohileng (matha) ka ho tlosa likhokahano tsa x tsa lintlha tse peli: 1 – 3 = -2.
5. Arola phetoho e otlolohileng ka phetoho e otlolohileng (e phahama ho feta) ho fumana moepa: 3 / -2 = -1.5.

Ka hona, Moepa ke -1.5. Ke hore moepa o fosahetseng.

Malebela ke ana a ho qoba liphoso tse tloaelehileng ha u bala moepa:

1. Utloisisa mohopolo oa moepa: Moepa o baloa e le karo-karolelano ea phetoho ho y ho phetoho ea x. Moepa o motle o bontša mokhoa oa ho ea holimo, athe moepa o mobe o bontša mokhoa o theohang.
2. Lekola lipalo tsa hau habeli: Lipalo tsa moepa li ka ba tse qhekellang, kahoo ho bohlokoa ho hlahloba mosebetsi oa hau habeli. Etsa bonnete ba hore u na le litekanyetso tse nepahetseng bakeng sa phetoho ea y le phetoho ea x, le hore u li arole ka nepo.
3. Sebelisa Slope Calculator: Ho sebelisa sebali sa letsoapo e tla fokotsa liphoso haholo.

Mona ke Slope Calculator tseo u ka li sebelisang ho bala moepa kapa gradient lipakeng tsa lintlha tse peli ho sistimi ea coordinate ea Cartesian. 

Sohle seo u lokelang ho se etsa ha u sebelisa sebali sena sa moepa ke ho kenya boleng ba x1, x2, y1, y2. 

Calculator e tla ipalla moepa, equation ea mola, ho phahama, ho matha, sebaka se pakeng tsa lintlha tse peli, le tse ling tse ngata, ha ua tlameha ho panya habeli.

Moepa ho Geometry

Joalokaha re boletse pejana, Moepa ke tekanyo ea moepa oa mola.

Likhutlong tse tharo, letsoapo la mola le ka sebelisoa ho bala angle lipakeng tsa mola le axis ea x.

Moepa oa mola o ka boela oa sebelisoa ho fumana hore na mela e 'meli e bapile kapa e pota-potile. Mela e 'meli e bapile haeba e na le moepa o le mong,' me e na le perpendicular haeba matsoapo a eona e le li-reciprocals tse mpe tsa tse ling.

Lisebelisoa tsa 'Nete tsa Lefatše

• Kaho le Mehaho: Lipalo tsa moepa li sebelisoa ho rala litselana, litepisi le marulelo. Sekontiri sa marulelo, ka mohlala, se etsa qeto ea hore na ho tla sebelisoa thepa e kae ho haha ​​marulelo hammoho le ts'ebetso ea marulelo.

• fisiks: Lipalo tsa moepa li sebelisoa litšoantšong tsa motsamao le matla. Mohlala, moepa oa kerafo ea nako e fana ka lebelo la ntho.
• moruo: Lipalo tsa letsoapo li sebelisoa ho utloisisa mekhoa. Mohlala, moepa oa lebelo la tlhokeho o fana ka sekhahla seo palo e batlang liphetoho ho eona mabapi le theko.

Mehlala e Kopanetsoeng le Boikoetliso

Karolo ena e fana ka sete ea mehlala e sebetsanang le boitlhakiso ho thusa ho tiisa kutloisiso ea hau ea lipalo tsa moepa.

Bothata ba 1:

Nahana ka lintlha tse peli mabapi le sefofane se tsamaisanang: ( A(2, 5) ) le ( B(4, 9) ). Bala moepa oa mola o fetang lintlheng tsena u sebelisa mokhoa oa moepa.

tharollo:

m = (9 – 5) / (4 – 2) = (4)/(2) = 2

Bothata ba 2:

Ho fanoe ka lintlha tse peli ( C(3, 8)) le ( D(7, 2) ), bala moepa oa mola o fetang lintlheng tsena u sebelisa foromo ea moepa.

tharollo:

m = (2 – 8) / (7 – 3) = (-6)/(4) = -1.5

Maemo a Sebele a Bophelo

Tšoantšiso 1: Moralo oa Ramp

Ak'u nahane u le setsebi sa meralo se filoeng mosebetsi oa ho rala tsela ea setulo sa likooa bakeng sa monyako oa moaho. Sebelisa lipalo tsa moepa ho fumana moepa o nepahetseng bakeng sa ho fihlella ha o ntse o latela litekanyetso tsa polokeho.

Tšoantšiso 2: Mekhoa ea Moruo

Joaloka mohlahlobi oa lichelete, hlahloba lintlha tsa lintlha tsa moruo ka nako le ho bala moepa ho tseba mekhoa. Boitsebiso boo bo ka ba molemo joang bakeng sa ho bolela esale pele ka tsebo?

Joale, bolo ke ea hau ho e thunya, Abelana le litharollo tsa hau kapa mekhoa eo u sebelisitseng lipalo tsa letsoapo bophelong ba hau. Hore na ke ho rala serapa sa hau bocha, kapa ho noa khalase ea metsi.

Ikutloe u lokolohile ho fana ka litharollo tsa hau kapa ho arolelana liphihlelo tsa hau.

fihlela qeto e

Re fihlile qetellong ea sengoloa sena, a re phete lintlha tsa bohlokoa tse ngotsoeng sehloohong sena

Senotlolo Lintlha:

• Moepa o lekanya moepa oa mola 'me o bohlokoa haholo ho lipalo le lits'ebetsong tse fapaneng tsa lefats'e la nnete.
• Foromo ea moepa ( m = {y2 – y1} / {x2 – x1} )
• Mefuta e 4 ea Matsoapo ke; Matsoapo a matle, a mabe, a lefela, le a sa hlalosoang 'me e 'ngoe le e 'ngoe e fana ka tlhahisoleseling e ikhethang mabapi le litšobotsi tsa mola.
• Lefatšeng la 'nete, moepa o sebelisoa mafapheng a fapaneng a kang jeokrafi, boenjiniere ba sechaba, boqapi le fisiks.