How kuwana nzvimbo ine mativi kurutivi rwaro diagonals?

Nhasi, vashoma vasingazivi sei kuwana nzvimbo pachivara. Ari ikoko, atova iri kure zuro ... Kureva, panguva apo munhu wose aiziva sei kuverenga nzvimbo sikweya, nekuti nhasi, sokunge zvinganzwika penga, nyaya dzakadaro aigara nekuratidzwa paIndaneti. Hazvina kufanira, kutaura mudukusa - zviri rinotyisa.

Kunyange kuchikoro chepuraimari vanodzidziswa sei kuwana mativi nzvimbo. Asi iwe unofanira kutanga kudzidza kuona nzvimbo rectangle (a sikweya - zvose zvakafanana rectangle, asi zvakaenzana mativi).

Zvinonzi aronga kuvaka imwe mativi nechiyero nzvimbo yakayerwa - mativi sendimita kana mativi mita. Ichi chiyero nzvimbo iri mativi mativi akaenzana kana mumwe sendimita kana mumwe mita. Zvichienderana kukura kwenzvimbo kuti kuyerwa, inogona hectare (sikweya kiromita), kana, ar (a mativi pamwe panhivi 100 metres, mune mamwe mashoko - "kugadzira"). dzinoungana izvi uye vakaisa chinyararire pamusoro chakayerwa rectangle.

Nokuti kuedza, vanofanira diki rectangle pamwe panhivi Somuenzaniso, akaenzana 3 uye 5 masendimita. Kuti zvijeke muduku vadzidzi rinoshanda kuzochera dimikira iri jira iri keji, ipapo unonyatsoruramisa rectangle dzakafanana mitsetse pamwe kureba uye upamhi, akaisa navo mudunhu maviri masero. Anofungidzirwa, vaviri masero ari kuchikoro nebhuku rokunyorera kuipa anoenderana imwe sendimita. Saka, zvinoita sokuti rectangle rakakamurwa mativi masendimita, kuti anoiswa mariri mativi masendimita - nzvimbo yakayerwa matanho.

Chinotevera ndechokuti kuverenga dzinoungana pamwe chete kuva rectangle ine divi rimwe sendimita. Unogona kuverenga navo kutanga nenzira inozivikanwa, achinongedza mumwe tsvimbo. Zvadaro iva nechokwadi kuti kushandisa unlearning chokuwanziridza tafura: akatambira mbiru shanu, imwe neimwe ine matatu akaenzana. Vachiwedzera pavo, tinowana 15 mativi masendimita nyore. Zviri nyore, nzvimbo imwe neimwe rectangle ndeyokuita vachiwedzera kureba kwayo uye upamhi.

Kutsiva nhamba 5 nomusi "munhu" uye nhamba 3 ari «b», vana vanowana nyore kuona kuti rectangle nzvimbo fomura. Saka, zvinoitika kuti S = demo b. Asi - nzira yemaitiro nokuda rectangle. Tinofanirawo kuunza mutemo, achitsanangura sei kuwana nzvimbo imwe sikweya!

Ndicho nyore chaizvo! Divi mativi vakaenzana, zvinoreva kuti iwe unogona kutsiva divi "b" iri nzira iri "ari". Zvino munoona zvinotevera okuti: S = demo zvakanaka. Chokuwanziridza kwenhamba roga anopiwa mativi ari nhamba kana nhamba dzeboka rechipiri.

Zvisinei, pane dzimwe nzira kuwana nzvimbo pachivara. Izvi, Chokwadi, vane zvakawanda nezvinetso masvomhu. Asi chisarudzo chavo kuoneka zvimwe payakavakirwa. Somuenzaniso, kuisa kuti uzive kuti kuwana nzvimbo imwe sikweya kwete nokuno diagonal.

Kuti vagadzirise dambudziko iri, kune ruzivo shoma pachikoro chepuraimari. Tinoda Pythagorean theorem no. Chokutanga, tinofanira kuvaka sikweya, semuenzaniso, NMOP diagonal NO = m. Tinowana mbiri dzakaenzana isosceles rectangular netriangle pamwe chawo m.

Kushandisa yekunwa theorem no, tinowana kurutivi netriangle zvakanaka. NM akaenzana + MO = NO muchivara pachivara. Asi sezvo NM = MO, tinowana akaenzana + NM NM = NO muchivara pachivara. Nokudaro NM 2 akaenzana = NO pachivara. NM Find pachivara inogona NO kupatsanura pachivara kupinda maviri.

Asi NM pachivara - ichi kunongova mhinduro yomubvunzo sei kuwana nzvimbo imwe sikweya! A NO - ndiro diagonal ane mativi. Saka, tinogona kuunza nzira itsva kuti rinoti nzvimbo yaiungana akaenzana hafu diagonals kwayo, yakavakwa rechipiri dhigirii.

Zvinokwanisika zvinowana nzira yemaitiro kuwana sikweya nzvimbo achitevedza nharaunda ine denderedzwa yakanyorwa mariri kana circumscribed yakapoteredza. Asi zvisinei dambudziko chii hatina kugadzirisa, nheyo nokusingaperi ushe kuti tinodzidza kuchikoro chepuraimari - kuti vachiwedzera mativi maviri rectangle, unogona kuwana nzvimbo yayo.