Indlela yokuthola indawo isikwele ezinsikeni zawo futhi diagonals yayo?

Namuhla, bambalwa abangamazi kanjani ukuthola indawo isikwele. Ngesikhathi elapho, kwaba kakade izolo ezikude ... Ngamanye amazwi, uma ngesikhathi lapho wonke umuntu wayazi ukuthi ukubala indawo isikwele, ngoba namuhla, sengathi kungase uzwakale uxaka, izinkinga ezifana babelokhu kokuvela ku-intanethi. Kuyinto ongaziwa, ukusho okungenani - ke iyesabeka.

Ngisho esikoleni sabaqalayo bafundziswa kutsi bangayakha njani ukuthola endaweni sikwele. Kodwa kufanele uqale ukufunda ukukhomba indawo isikwele (isikwele - zonke isikwele efanayo, kodwa amacala alingane).

Kuphakanyiswa ukwakhela isilinganiso esithile skwele endaweni nesilinganiso - isentimitha isikwele noma imitha square. Lokhu linganisa isikhala isikwele nge izinhlangothi esilingana noma isentimitha elilodwa noma imitha elilodwa. Kuye usayizi wendawo ukuba singenakulinganiswa, kungaba ehektheleni (square kilometre), noma ar (isikwele nge izinhlangothi amamitha 100, ngamanye amazwi - "ihlanganisa"). Lezi izikwele futhi wabeka buthule kunxande elinganisiwe.

Ukuze ukuhlola, kufanele athathe isikwele encane nge izinhlangothi, isibonelo, ilingana 3 no-5 ngamasentimitha. Ukuze abafundi ukucaciseleka abasebasha awusebenzelayo ukudweba sibalo uyibhala yezinyoni ke sokuhlukanisa isikwele imigqa parallel eduze ubude nobubanzi, okuwenza aqondane esifundeni amaseli ezimbili. Kucatshangwa ukuthi amaseli ezimbili encwadini evamile esikoleni zivumelana eyodwa isentimitha. Ngakho, kubonakala sengathi isikwele ihlukaniswe yaba amasentimitha square, ukuthi ibekwe kuwo amasentimitha sikwele - endaweni nesilinganiso izinyathelo.

Isinyathelo esilandelayo ukubala izikwele ndawonye zibe isikwele nohlangothi elilodwa isentimitha. Ungakwazi ukubala kwabo kuqala ngendlela evamile, ekhomba induku ngamunye. Khona-ke qiniseka ukusebenzisa ithebula ukubuyabuyelela bangakwazi ukuyeka: Uthole amakholomu ezinhlanu, ngasinye izikwele ezintathu. Ukuphindaphinda kubo, thina kalula uthole 15 amasentimitha sikwele. Ngamagama alula, endaweni isikwele ngamunye ngokuvele azalane ubude balo nobubanzi.

Njengoba ezothatha isikhundla inombolo 5 phezu "a", futhi nenombolo 3 «b», izingane uthole lula ngokuthini ifomula isikwele ndawo. Ngakho, kuvela ukuthi S = ngembazo b. Kodwa kuba - ifomula ukuze isikwele. Kudingeka futhi alethe umthetho, echaza indlela ukuthola indawo isikwele!

Kulula kabi! Uhlangothi square bayalingana, kusho ukuthi ungakwazi ukushintsha side "b" ku-formula in the "a". Khona-ke ubona Inkulumo elandelayo: S = ngembazo kahle. Ukubuyabuyelela of inombolo ngokwalo uthola esigcawini inombolo noma inani besigaba sesibili.

Nokho, zikhona nezinye izindlela ukuthola indawo isikwele. Yiqiniso, abanezinkinga izibalo ngaphezulu. Kodwa isinqumo sabo avele ifomula ezithile. Ngokwesibonelo, setha ukuthola indlela ukuthola indawo isikwele hhayi ohlangothini futhi on the diagonal.

Ukuze uxazulule le nkinga, kukhona olutheni esikoleni samabanga aphansi. Sizodinga theorem kaPythagoras. Okokuqala, ukwakha isikwele, isib, NMOP idayagonali CHA = m. We ukuthola isosceles amabili alinganayo unxantathu unxande sizindza m.

Ukusebenzisa theorem okukhulunywe ngaye ngenhla, sithola ohlangothini unxantathu kwesokudla. NM yisikwele + i-MO = CHA esigcawini esigcawini. Kodwa njengoba NM = i-MO, kokuthi yisikwele + NM NM = CHA esigcawini esigcawini. Yingakho NM 2 yisikwele = CHA esigcawini. NM Thola square kungenziwa CHA sokuhlukanisa square ku ezimbili.

Kodwa NM esigcawini - lena nje impendulo yombuzo othi kanjani ukuthola indawo isikwele! A NO - iyona idayagonali kwesikwele. Ngakho, singakwazi ukuletha ifomula omusha uthi indawo kwesikwele ilingana kwesigamu diagonals yayo, elalizokwakhiwa e besigaba sesibili.

Kungenzeka ukwenzela ukufinyelela eempendulweni ifomula ukuthola indawo square eduze engaba umbuthano elalibhalwe ongaqhuba circumscribed nxazonke. Kodwa kungakhathaliseki ukuthi iyini inkinga asizange ixazululwe, isisekelo ngeke phakade abuse leso sifunda esikoleni sabaqalayo - ukuthi siphindaphindeka amabili ezinhlangothini isikwele, ungathola endaweni yayo.