Cube musiyano uye musiyano Cubes: mitemo Masvomhu chokuwanziridza Acronym

Formula kana akapfupikiswa pamwechete chokuwanziridza utongi kushandiswa svomhu, kuti munoreva - mu nemasvomhu, nokuti nokukurumidza kukarukureta muitiro guru algebraic mashoko. Zvinosimbiswa vakawana kubva yaivapo Masvomhu nemasvomhu mitemo kuti chokuwanziridza pamusoro polynomials anoverengeka.

Kushandisa Masvomhu izvi zvinopa zvakakwana kushanda mhinduro dzakasiyana-siyana matambudziko akarongeka, uye zvinobatsirawo ezvidzidzo anoitwa mashoko. Mitemo kukubvumira kuita algebraic manipulations vamwe kuchinja pamwe mashoko, unogona kutevedzera kuti kuruboshwe divi okuti kurutivi rwokurudyi, kana kutendeutsa kurudyi (kuti mashoko ari parutivi chiratidzo wakaenzana kuruboshwe).

Zviri nyore kuziva nzira inoshandiswa kuderedza chokuwanziridza, ari ndangariro, sezvo kazhinji vaishandisa kugadzirisa matambudziko uye equations. Pazasi pane dzinokosha Masvomhu yaisanganisira pazvinhu izvi, uye zita ravo.

The mativi ari kuwanda

Kuti ngaaverenge mativi ose Verengai zvakakodzera kuwana Verenga mativi rokutanga rokuti, kaviri zvinobikwa wokutanga izwi kune wechipiri uye yechipiri pachivara. In mutemo uyu fomu mashoko akanyorwa sezvinotevera: (a + c) ² = a² + s² + 2AS.

akaenzana musiyano

Kuti compute ari mativi mana akaenzana musiyano, zvakakodzera ngaaverenge Verenga mativi ose nhamba yokutanga, wokutanga basa miviri wechipiri (zvakatorwa nevakomana chiratidzo) uye yaiungana chechipiri nhamba. In ichi pokutonga fomu okuti sezvinotevera: (a - c) ² = a² - 2AS + s².

musiyano pakati dzinoungana

Formula musiyano nhamba mbiri, mativi mana akaenzana, zvinotipa zvinobikwa Verengai nhamba idzi musiyano wavo. In ichi pokutonga fomu okuti sezvinotevera: a² - s² = (a + c) · (a - c).

kuutio uwandu

Kuverenga Verengai maviri mashoko kuutio, unofanira kuverenga kuwanda wokutanga rokuti munhu kuutio, mumwe sikweya katatu chigadzirwa wokutanga rokuti uye wechipiri, katatu chigadzirwa wokutanga rokuti uye wechipiri pachivara uye kuutio rechipiri rokuti. In ichi pokutonga fomu okuti sezvinotevera: (a + c) ³ = a³ + + 3a²s 3as² s³ +.

Verengai cubes

Maererano yemaitiro, Verengai cubes akaenzana zvibereko Verengai mazwi aya kwakavafadza mativi mana akaenzana musiyano. In ichi pokutonga fomu okuti sezvinotevera: a³ s³ + = (a + c) + (a² - Al + s²).

Example. Zvakakodzera ngaaverenge Vhoriyamu nechipi, iyo achiumbwa nokuwedzera kuti cubes maviri. It anozivikanwa chete kukosha acho.

Kana kukosha mapato madiki, ipapo kuita Masvomhu nyore.

Kana urefu mativi vari runoratidzwa kura nhamba, muchiitiko ichi zviri nyore kushandisa payakavakirwa "Verengai cubes", iro nyore zvikuru Masvomhu.

kusiyana kuutio

The okuti nokuti cubic musiyano iri: Verengai wokutanga rokuti dhigirii wechitatu, katatu yaiungana akaipa chigadzirwa rokutanga rokuti kune wechipiri, katatu chigadzirwa rokutanga rokuti ari mativi rechipiri akaipa uye nhengo kuutio wechipiri. Mune kwemasvomhu okuti kuutio musiyano uri sezvinotevera: (a - c) ³ = a³ - 3a²s 3as² + - s³.

Musiyano pakati cubes

cubes musiyano fomura rakasiyana Verengai cubes ndicho chiratidzo chimwe chete. Saka, musiyano cubes - wevacheche, akaenzana musiyano pakati nenhamba mashoko kwakavafadza akaenzana pakuverengwa. Mune kwemasvomhu okuti cubes musiyano uri sezvinotevera: ³ - ³ = (Al) (Al ² + + ^2).

Example. Zvakakodzera ngaaverenge Vhoriyamu munhu uripo pashure deducting kubva uwandu rebhuruu kuutio volumetric mufananidzo yellow ruvara, iro ari kuutio. It anozivikanwa chete kusvikira kukosha chikamu zviduku kuutio.

Kana kukosha mapato madiki, dzemaitirwe iri nyore. Kana divi urefu vari runoratidzwa zvinokosha nhamba, zvakakodzera kushandisa nzira, akanzi "Difference cubes" (kana "Cube musiyano") maneja kuti husava zvikuru kuverenga.