A yankin na rhombus: dabarbari da kuma facts

Rhombus (daga Girkanci da Latin ῥόμβος rombus «drum") ne a parallelogram, wanda aka halin gaban daidai tsawon bangarorin. A cikin akwati inda kusassari ne 90 digiri (ko a dama kusassari) irin wannan lissafi da adadi ne da ake kira square. Rhombus - wani lissafi da adadi, a irin quadrangles. Yana iya zama wani square, kuma a parallelogram.

Origins of ajalin

Bari mu magana a bit game da tarihin adadi, wadda za ta taimaka kadan na ganowa da m asĩri a cikin, tsoho duniya. Kalmar da aka saba yi mana, sau da yawa abin da ke faruwa a cikin makaranta adabi, "lu'u-lu'u" fãra daga kalmar Helenanci "drum". A zamanin tsohuwar Girka, kida samar a cikin lu'u-lu'u-dimbin yawa ko square (da bambanci da zamani adaptations). Lalle ne ku lura da cewa katin kara - Diamonds - yana da wani rhombic siffar. Da samuwar wannan kwat da wando da ke mayar da kwanaki a lokacin da zagaye Diamonds ba amfani a rayuwar yau da kullum. Saboda haka, da lu'u-lu'u - tsofaffin tarihi adadi, wadda aka kirkiro da 'yan Adam tun kafin ƙafafun.

A karo na farko da irin wannan kalma a matsayin "lu'u-lu'u" da aka yi amfani da irin wannan shahara mutane kamar yadda Geron da Paparoma na Alexandria.

Properties na wani rhombus

1. Tun da rhombus bangarorin daura da juna kuma suna da tarayyar layi daya, da rhombus lalle parallelogram (AB || CD, AD || BC).
2. Rhombic ake diagonally tsallaka a dama kusassari (AC ⊥ BD), kuma haka perpendicular. Saboda haka, mahada raba a rabin diagonally.
3. Bisectors rhombic rhombus sasanninta ne diagonally (∠DCA = ∠BCA, ∠ABD = ∠CBD da t. D.).
4. Ainihi na parallelograms cewa Naira Miliyan Xari da murabba'ai na diagonals na wani rhombus ne yawan bangarorin ta square, wanda aka yawaita da 4.

ãyõyin a rhombus

Rhombus a kuma waɗannan lokuta ne parallelogram cewa hadu da wadannan yanayi:

1. Dukkan bangarorin na wani parallelogram ne daidai.
2. A diagonals na rhombus rarraba a dama kusassari, Ina nufin su ne perpendicular game da juna (AC⊥BD). Wannan ya tabbatar da cewa mulkin na uku tarnaƙi (tarnaƙi ne daidai da suna located a wani kwana na 90 digiri).
3. parallelogram diagonally rabu sasanninta daidai, saboda tarnaƙi ne daidai.

A fannin rhombus

A yankin na rhombus za a iya lasafta ta wajen dama dabarbari (dangane da kayan bayar a cikin matsala). Next, karanta game da abin da shi ne yankin na rhombus.

1. A fannin rhombus ne daidai da adadin abin da yake rabin da samfur na diagonals.
2. Tun da lu'u-lu'u - wani irin parallelogram, rhombus da (S) ne da yawan aiki yanki gefen wani parallelogram a kan rufinta (h).
3. Bugu da ari, rhombus yanki za a iya lasafta ta a dabara wanda shine samfurin na Squared bangarorin a kan rhombus ba tare da kwana. Ba tare da na kwana - alpha - kusurwa dake tsakanin tushen da rhombus bangarorin.
4. Shi ne m for daidai mafita dauke dabara wanda shine samfur na sau biyu da kwana alpha da radius daga cikin incircle (r).

Wadannan dabarbari, za ka iya lissafa da kuma tabbatar da tushen da Pythagorean Theorem da dokoki a kan uku bangarorin. Mutane da yawa misalai suna mayar da hankali a kan hannu na dama dabarbari a daya aiki.