Kodi kupeza dera rhombus ndi?

Kodi kupeza dera rhombus ndi? Kupereka yankho, choyamba tiyenera kumvetsa zimene timaphunzira daimondi.

Choyamba, ndi quadrangle. Kachiwiri, ali anayi mbali ofanana. Chachitatu, diagonals zake perpendicular pa mfundo mphambano. Lachinayi opendekera mphambano mfundo anawagawa m'magulu ofanana. Fifthly, gawo lomwelo opendekera m'mphambano za rhombus mu magawo awiri ofanana. Chimodzi, mu Uwerenge kumathandiza kupeza ngodya ziwiri zomwe ndi pafupi ndi mbali imodzi, amapanga mbali unwrapped, i.e. madigiri 180. Ndipo ngati inu muti chabe, daimondi - ndi mumbali lalikulu.

Ngati inu kutenga lalikulu amene adzamenyane ndi ananamizira flexibly ndi mosavuta kukokera mu ziwiri zosiyana njingayo, lalikulu adzautaya squareness ake ndi kuwasandutsa mwala. Choncho, diamondi ndi kumathandiza kupeza ngodya zabwino bwino - ichi ndi lalikulu kwenikweni.

The loyambirira kukhazikitsa mfundo diamondi Hero ndi Pappus wa Alexandria, Greek masamu. Mawu "diamondi" wa Greek akhoza likumasuliridwa kuti "ng'oma".

Kupeza malo a rhombus, ndi zothandiza kuti diamondi - ndi parallelogram. Ndipo dera parallelogram angapezeke ndi kuchulukitsa pakati pa tsinde, ndiye malangizo ndi kutalika.

Pofuna kutsimikizira zimenezi, tiyenera mulibe pamwamba pa ngodya kumtunda kwa perpendiculars rhombus. Mwachitsanzo, anapatsidwa diamondi QWER. Ku mfundo ya ngodya chapamwamba Q ndi W perpendiculars QT ndi WY. Ndipo perpendicular QT imagwera pa mbali ya RE, ndi perpendicular WY ali kupitiriza mbali iyi.

Choncho, zatsopano anatembenuka QWYT quadrilateral ndi mbali kufanana ndi kumathandiza kupeza ngodya zabwino komwe, potengera zimene takambiranazi, n'zotheka dzina molimba mtima rectangle.

M'dera la rectangle izi wochulukitsa mbali ndi kutalika. Tsopano tiyenera kutsimikizira kuti Malo rectangle m'dera chifukwa limafanana ndi chikhalidwe opatsidwa mwala.

Kupenda akamagwira ntchito yomanga zina Triangles QYR ndi yonyowa, tinganene kuti iwo ali pa mwendo ndi hypotenuse. Pambuyo miyendo onse Triangles imachitika perpendiculars, imene pa nthawi yomweyo ali mbali zonse za rectangle chifukwa. A hypotenuse - mbali iyi ya diamondi lapansi.

Rhombus ndi Uwerenge lalikulu la makona ndi trapezoid QYR QYEW. The rectangle chifukwa imakhala ya makona chomwecho ndi trapezoid QYEW yonyowa, amene m'dera ndi wofanana ndi dera kansalu QYR. Choncho mapeto akusonyeza palokha: QWER rhombus m'dera mtengo limafanana ndi dera la rectangle QWYT.

Tsopano zikuonekeratu momwe kupeza malo a rhombus mbali ndi msinkhu wake: iwo ayenera kuchulukitsa.

Mungapeze dera rhombus, ndi rhombus podziwa ngodya ndi malangizo. Ndikofunikira kuti mudziwe sine ya ngodya, ndi kuchulukitsa izo ndi kawiri pambali. Pezani sine angagwiritse ntchito Chiwerengero kapena Bradis tebulo.

Nthawi zina, akutchula za momwe kupeza dera rhombus pogwiritsa ntchito sine ya ngodya ndi utali wozungulira bwalo alembedwa iwo, chimene kwenikweni ndi pazipita.

Komabe nthawi zambiri kuwerengera dera rhombus kudzera diagonally. Kuyambira chilinganizo izi ndizoonekeratu kuti derali ndi poluproizvedeniyu diagonals.

Kuti ndi wokongola yosavuta, kuganizira Triangles awiri QWE ndi ERQ, amene analandira pamene daimondi mu umodzi opendekera. Triangles awa ngofanana mbali zitatu kapena pansi ndi pafupi ngodya ziwiri.

Nditakhala daimondi chachiwiri opendekera timapeza kutalika Triangles izi, chifukwa diagonals intersect pa mfundo X pa makona a madigiri 90. M'dera la makona QWE ndi mankhwala a QE, amene ali inchi imodzi pa WX - theka la wachiwiri diagonally kugawidwa ndi awiri.

Tsopano funso mmene kupeza dera rhombus ndi yankho ndi yomveka: mawu amenewa ayenera kawiri. Pakuti mayiko kubweretsa mawu algebraic akhoza kukhala mmodzi opendekera amaimira kalata z, pamene lachiwiri - ndi kalata u. ife kupeza:

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