How kuwana nzvimbo imwe rhombus?

How kuwana nzvimbo imwe rhombus? Kupa mhinduro, unofanira kutanga kunzwisisa zvatinodzidza nedhaimani.

Chekutanga, a quadrangle. Chechipiri, rine ina dzakaenzana kumativi. Chechitatu, diagonals ayo perpendicular panguva mharadzano pfungwa. Wechina, diagonal mharadzano pfungwa dziri muzvikamu yakaenzana nhengo. Fifthly, ndiye mugove diagonal makona rhombus munzvimbo mbiri dzakaenzana zvikamu. Wechitanhatu, Verengai pamakona maviri izvo yakabatana rimwe divi, vanoumba unwrapped yorusvingo, i.e. 180 inegumi. Uye kana iwe ukati nyore, nedhaimani - a raiiswa sikweya.

Kana iwe tora sikweya ane mativi ari yakanamatira flexibly uye kurudzosa nyore mbiri pakatarisana yorusvingo, pachivara acharasikirwa squareness rayo uye dzikava nedhaimani. Naizvozvo, nedhaimani rworudyi pamakona - iri chaiyo sikweya.

Wokutanga yokusuma pfungwa kwemangoda Hero uye Pappus wokuAlexandria, Greek masvomhu. Shoko "diamond" echiGiriki rinogona kushandurudzwa se "dhiramu".

Kuti uwane nzvimbo iri rhombus, zvinokosha kufunga kuti nedhaimani - ndiwo parallelogram. Uye nzvimbo yacho parallelogram anogona kuwanikwa vachiwedzera pakati nechigadziko, kuti ndiye mirayiridzo uye kukwirira.

Kuti aratidze izvi, zvinofanira akadarikira kubva pamusoro rokumusoro makona rhombus perpendiculars. Somuenzaniso, vakapiwa nedhaimani QWER. Kubva vertices vaikudzwa makona Q uye W perpendiculars QT uye WY. Uye perpendicular QT inowira kudivi RE, uye perpendicular WY ari kuenderera rwuno.

Saka, itsva akatendeukira QWYT quadrilateral pamwe inofambirana kumativi nezvakarurama pamakona, izvo, inobva ataurwa, zvinokwanisika kuti zita noushingi rectangle.

Nzvimbo rectangle ichi anowedzera divi uye kukwirira. Zvino tinofanira kuratidza kuti nzvimbo yacho zvichizoita rectangle nzvimbo yakafanana yakapiwa mamiriro nedhaimani.

Kufunga yaunganidzwa rokuvaka okuwedzera zvokuridza QYR uye Wet, tinogona kutaura kuti vari ari gumbo uye hypotenuse. Pashure zvose makumbo zvokuridza zvinoitiswa perpendiculars, izvo panguva iyoyo vari mativi ose zvichiguma rectangle. A hypotenuse - rwuno nedhaimani.

Rhombus ndiye Verenga mativi ose Triangle uye trapezoid QYR QYEW. The zvichiguma rectangle rinoumbwa chete Triangle uye trapezoid QYEW Wet, ane nzvimbo akaenzana nzvimbo netriangle QYR. Nokudaro mhedziso rinoti pacharo: QWER rhombus nharaunda ukoshi unoenderana munzvimbo imwe rectangle QWYT.

Zvino zviri pachena sei kuti awane nzvimbo imwe rhombus padivi uye kukwirira kwayo, vachida kuwanda.

Unogona kuwana nzvimbo imwe rhombus, mumwe rhombus nokuziva angled uye kutungamirirwa. Zvinokosha chete kuziva chii Sine pakati rekona, muwande parutivi kaviri parutivi. Find Sine anogona kushandisa karukureta kana Bradis tafura.

Dzimwe nguva, muchirumbidza sei kuwana nzvimbo rhombus, uchishandisa Sine yacho yorusvingo uye nharaunda ane denderedzwa yakanyorwa mariri, izvo hazvo zviri kunonyanyisa.

Zvisinei, kazhinji ngaaverenge nzvimbo imwe rhombus kuburikidza Tsanga yacho yaichekwa. Kubva mutoo uyu zvinoreva kuti nzvimbo iri poluproizvedeniyu diagonals.

Ratidza kuti akanaka nyore, tichifunga maviri zvokuridza QWE uye ERQ, izvo akagamuchira panguva nedhaimani mumwe diagonal. zvokuridza izvi vakaenzana kumativi matatu kana pasi uye pedyo maviri pamakona.

Ndapedza nedhaimani yechipiri diagonal, tinowana kukwirira zvokuridza izvi, nokuti diagonals piringisha panguva X panguva necheparutivi rworwendo 90. Nharaunda Triangle QWE zvakagadzirwa QE, chiri chimwe padiki pamusoro WX - hafu rechipiri Tsanga yacho yaichekwa yakakamurwa zviviri.

Zvino mubvunzo sei kuwana nzvimbo imwe rhombus, mhinduro yakajeka: aya anofanira kaviri. Nokuti zvivanakire nokuunza algebraic mashoko anogona kuva mumwe diagonal runotaurwa tsamba z, apo rechipiri - pamwe netsamba u. isu tiwane:

2 (Z X 1 / 2u: 2) = z X 1 / 2u, kuti chete mashizha - poluproizvedenie diagonals.