Indlela yokuthola kwendawo rhombus?

Indlela yokuthola kwendawo rhombus? Ukunikeza impendulo, kumelwe uqonde kuqala ukuthi sicabanga nedayimani.

Okokuqala, i-quadrangle. Okwesibili, it has izinhlangothi ezine ezilinganayo. Okwesithathu, diagonals kwakhona perpendicular endaweni ukunquma. Okwesine, diagonal empambana iphuzu zihlukaniswe izingxenye alinganayo. Fifthly, isabelo esifanayo emakhoneni diagonal we rhombus zibe izingxenye ezimbili alinganayo. Okwesithupha, e isamba engeli amabili okuyizinto eseduze ngalapha, ezakha engela ongaqaqiwe, isb 180 degrees. Futhi uma uthi nje, idayimane - isikwele olwehlelayo.

Uma uthatha isikwele kabani izinhlangothi abethela kalula futhi kalula donsa e engela ezimbili okuphambene, isikwele uzolahlekelwa squareness yayo jikisa nedayimani. Ngakho-ke, idayimane kanye engele kwesokudla - lokhu isikwele yangempela.

Abokuqala ngenisa umcondvo wekubhalwa idayimane Hero kanye Pappus wase-Alexandria, izibalo ngesiGreki. Igama elithi "diamond" ka esiGrekini angahunyushwa ngokuthi "ama-drum".

Ukuze uthole indawo rhombus, kuhle ukucabangela ukuthi idayimane - kuyinto parallelogram. Futhi indawo parallelogram zingatholakala ngokuvele azalane phakathi isizinda, okungukuthi isiqondiso ukuphakama.

Ukuze afakazele lokhu, kufanele ivinjelwe kusuka phezulu emakhoneni engenhla perpendiculars rhombus. Ngokwesibonelo, uma unikezwe QWER idayimane. Kusukela vertices emakhoneni engenhla Q futhi perpendiculars W qt and WY. Futhi perpendicular qt uwela ohlangothini RE, futhi perpendicular WY ivuliwe ukuqhubeka kulolu hlangothi.

Ngakho, entsha waphenduka QWYT quadrilateral emaceleni kuqondane and engeli kwesokudla, okuyinto, esekelwe osekushiwo, kungenzeka ukuba igama isikwele ngesibindi.

Le ndawo lokhu isikwele Owandisa izimpahla eceleni futhi ukuphakama. Manje sidinga ukuqinisekisa ukuthi indawo okuholela isikwele endaweni uhambelana isimo elinikeziwe idayimane.

Singafunda etholwe ngokwakha onxantathu ezengeziwe QYR ezimanzi, singasho ukuthi bakuphi ku-umlenze kanye hypotenuse. Phela imilenze onxantathu ziqhutshwa perpendiculars, okuyinto ngesikhathi esifanayo kukhona zombili we isikwele okuholela. A hypotenuse - nganeno idayimane.

Rhombus yinani lika esigcawini unxantathu futhi trapezoid QYR QYEW. I isikwele okuholela yakhiwa unxantathu efanayo futhi trapezoid QYEW ezimanzi, ogama endaweni ilingana endaweni unxantathu QYR. Yingakho esiphethweni kusikisela ngokwayo: QWER rhombus endaweni ukubaluleka oluhambisana kwendawo QWYT isikwele.

Manje kusobala ukuthi ukuthola kwendawo rhombus side futhi ukuphakama kwalo: badinga ukuba azale ande.

Ungathola kwendawo rhombus, a glossy kokwazi engela nesiqondiso. Kuyinto kudingekile kuphela ukwazi ukuthi iyona sine ye-engeli, nande kuwo by kabili ohlangothini. Thola i-sine angasebenzisa wokubala noma Bradis etafuleni.

Ngezinye izikhathi, kukhulunywa kanjani ukuthola indawo rhombus, usebenzisa sine ye-engeli kanye engaba umbuthano alotshiwe ke, okuyinto ngempela kuyinto esiphezulu.

Nokho, ngokuvamile kakhulu ukubala kwendawo rhombus ngokusebenzisa ngokuphambeneyo. Kule ifomula kusobala ukuthi le ndawo diagonals poluproizvedeniyu.

Fakazela kungcono lilula, ucabangela onxantathu ezimbili QWE futhi ERQ, okuyinto wathola ngesikhathi idayimane kwelinye idayagonali. Lezi onxantathu bayalingana ezinhlangothini ezintathu noma ngaphansi futhi eduze namakhona amabili.

Ngemva kokuchitha nedayimani yesibili idayagonali, sithola ukuphakama lezi onxantathu, ngoba diagonals aphambana iphoyinti X-engela 90 degrees. Le ndawo unxantathu QWE iwumkhiqizo QE, okuyinto ingenye intshi phezu WX - kwesigamu sesibili ngokuphambeneyo zihlukaniswe amabili.

Manje umbuzo kanjani ukuthola kwendawo rhombus, impendulo yalowo mbuzo icacile: le nkulumo kumele kabili. Ukuze kube lula ngokuletha le nkulumo algebraic kungaba omunye diagonal okhonjiswe z incwadi, kanti eyesibili - ngohlamvu u. sithola:

2 (z X 1 / 2u: 2) = z X 1 / 2u, ukuthi nje ushiya - poluproizvedenie diagonals.