M'dera la rhombus kuti: kachitidwe ndi mfundo

Rhombus (kuchokera Greek ndi Latin ῥόμβος rombus «mgolowo") ndi parallelogram, amene amakhala ndi pamaso pa mbali ofanana kutalika. Ngati komwe kumathandiza kupeza ngodya zabwino ndi madigiri 90 (kapena kumathandiza kupeza ngodya zabwino kumanja) ngati zojambula chithunzi amatchedwa lalikulu. Rhombus - ndi zojambula chithunzi, mtundu wa quadrangles. Kungakhale lalikulu, ndi parallelogram.

Origins akuti

Tilankhure pang'ono za mbiri ya zimakwana, zimene zingakuthandizeni pang'ono yodziwira zinsinsi lachinsinsi la dziko wakale. Mawu mwachizolowezi kwa ife, nthawi zambiri zikuchitika mu mabuku sukulu, "diamondi" limachokera ku mawu achigiriki "ng'oma". Mu Greece wakale, zida zoimbira opangidwa mu diamondi woboola pakati kapena lalikulu (motsutsana ndi zimasintha amakono). Ndithudi inu mwazindikira kuti khadi masuti - diamondi - ali rhombic mawonekedwe. Mapangidwe suti iyi amabwerera masiku pamene diamondi wozungulira si ntchito tsiku ndi tsiku. Choncho, daimondi - wamkulu m'mbiri, umene anapanga ndi anthu kale mawilo.

Kwa nthawi yoyamba mawu monga "diamondi" anamugwiritsa ntchito umunthu ngati wotchuka ngati Geron ndi Papa wa Alexandria.

katundu wa rhombus ndi

1. Popeza rhombus zomenyanazo wina ndi mzake ndi matanthauzo analemba za rhombus mosakayikira parallelogram (AB || CD, AD || BC).
2. Rhombic ali diagonally kudutsa pa kumathandiza kupeza ngodya zabwino bwino (AC ⊥ BD), ndipo motero perpendicular. Choncho, mphambano ukugawa mu theka diagonally.
3. Bisectors rhombic rhombus ngodya ndi diagonally (∠DCA = ∠BCA, ∠ABD = ∠CBD ndi T. D.).
4. Kudziwa parallelograms kuti Uwerenge mabwalo a diagonals wa rhombus ndi chiwerengero cha mbali ya lalikulu, amene kuchulukitsa ndi 4.

Zizindikiro za rhombus ndi

Rhombus milandu amene ali parallelogram chimene chimachita zinthu zotsatirazi:

1. mbali zonse parallelogram ali ofanana.
2. The diagonals wa rhombus ndi intersect pa kumathandiza kupeza ngodya zabwino bwino, i.e. ali perpendicular ndi ulemu kwa mnzake (AC⊥BD). Izi zikusonyeza kuti ulamuliro wa mbali zitatu (mbali ofanana ndi ili pa makona a madigiri 90).
3. parallelogram ngodya diagonally anapambulwa mofanana, chifukwa mbali ofanana.

M'dera la rhombus

M'dera la rhombus akhoza kuchita masamu mwa mitunduyi angapo (malingana ndi nkhani zopezeka mu vuto). Kenako, werengani zimene ndi dera rhombus.

1. M'dera la rhombus ndi wofanana ndi chiwerengero cha ndilo mankhwala theka la diagonals ake.
2. Popeza diamondi - mtundu wa parallelogram, rhombus ndi (S) ndi chiwerengero cha mbali ntchito m'dera la parallelogram pa msinkhu wake (h).
3. Komanso, dera rhombus kuchita masamu ndi chilinganizo chimene ndi mankhwala a mbali mbali zonse pa rhombus sine kupendekeka kwa. Sine kupendekeka kwa - Alpha - ngodya inali pakati pa gwero la mbali rhombus.
4. Ndi yovomerezeka kwa njira yolondola ankaona chilinganizo chimene ndi mankhwala a kawiri Alefa ngodya ndi utali wozungulira wa incircle (R).

Njira zimenezi, mukhoza kuwerengera ndi kutsimikizira pa maziko a Lingaliro Lovomerezeka Pythagorean ndi malamulo mbali zitatu. zitsanzo zambiri kwambiri za nkhani ya mitunduyi angapo mu ntchito limodzi.