Azungezwe we isikwele sithola ngezindlela ezihlukahlukene

Ngezinye izikhathi, phambi kwalowo muntu uvuka eduze isidingo ukuthola azungezwe we isikwele. Ngokwesibonelo, udinga ukwenza nothango oluzungeze indawo square, wallpapered Igumbi isikwele noma beka udonga square umdanso ihholo esibukweni. Ukuze ukubala inani impahla edingekayo, kubalulekile ukwenza iimbalo ekhethekile. Futhi kwaba khona-ke, zingayazi indlela yokuthola azungezwe we isikwele, kuyodingeka ukuthola impahla "by iso". Kulungile, uma lodonga ezishibhile, kodwa esibukweni extra okuyinto wayesezibeka? Futhi nokushoda impahla ke kunzima ngempela ukuze uthole esingeziwe izinga elifanayo.

Ngakho, ingabe uyazi ukuthi uyini azungezwe we sikwele? Siyazi ukuthi wonke amaqembu ayalingana isikwele. Futhi uma azungezwe - isamba sazo zonke izinhlangothi ipholigoni, azungezwe we isikwele singatlolwa bunjesi (q + q + q + q), lapho q - ukubaluleka ekhombisa ubude kolunye uhlangothi isikwele. Ngokwemvelo, elula kunazo ukusebenzisa ukuphindaphinda. Ngakho, azungezwe isikwele - value quadruple elihambisana ubude ezinhlangothini zalo noma 4q, lapho q - ohlangothini.

Kodwa uma sazi kuphela endaweni isikwele, azungezwe ofuna ukuthola - ukuthi benzeni kulesi simo? Bese konke silula! Kusukela izibalo owaziwa, okuyinto waveza endaweni isikwele, kuzomele wenze isizinda izimpande sikwele. Ngakho ukubaluleka isikwele kuyotholakala. Manje bheka azungezwe we isikwele kuyadingeka ngokuvumelana ifomula isuselwe ngenhla.

Omunye umbuzo, uma udinga ukuthola azungezwe we isikwele on the diagonal. Lapha kufanele sikhumbule theorem kaPythagoras. Cabanga isikwele nge idayagonali WERT WR. WR ihlukaniswe isikwele ku ezimbili isosceles kwesokudla angled unxantathu. Uma siyazi ubude idayagonali (kunemibandela ukusamukela ngoba z, icala langasezantsi libe - I-u), ukubaluleka isikwele ke kumele wafuna ngesisekelo ifomula: esigcawini z ilingana kabili esigcawini u, okuyindawo Singaphetha ngokuthini: u ilingana impande square, ukulandwa one-half ye hypotenuse kwesikwele . Okulandelayo liyakhula umphumela by izikhathi 4 - ukuthi nguwe nobukhulu isikwele!

Thola isiqondiso square kungaba lo engaba umbuthano alotshiwe ke. Phela, indingilizi elalibhalwe ithinta zonke izinhlangothi Square, nalapho isiphetho - ububanzi umbuthano ulingana nobude kwesikwele. A ububanzi - ke kuzwakele kubo bonke - kabili engaba.

Uma wazi engaba noma ububanzi umbuthano circumscribed emhlabeni isikwele, lapha sibona ukuthi bonke emavetheksi ezine isikwele ahlelwe ku umbuthano. Ngakho, ububanzi we umbuthano circumscribed ilingana nobude diagonal we isikwele. Ukuthatha lesi simo njengoba elinikeziwe, kulandele kubalwa azungezwe ifomula ukuthola azungezwe diagonals yayo, okuxoxwe ngawo ngenhla.

Ngezinye izikhathi umsebenzi lapho kudingeka uthole ukuthi yini ipherimitha kwesikwele, eqoshwe i isosceles unxantathu wesokudla kangangokuba kungabikho muntu owake ekhoneni isikwele kuvumelana engela ngqo unxantathu. Akwaziwa kuyinto nomlenze sibalo Jomethri. Lumelela like unxantathu wer wherein E kuyinto vertex ezivamile.

isikwele Masingasuki zizomakwa ETYU. ET eceleni ohlangothini ESISEBENZA, futhi ohlangothini EU - ohlangothini we ER. Y vertex amanga WR hypotenuse. Uma ucabangela umdwebo okwengeziwe, iziphetho kungenziwa shi:

1. WTY - isosceles calantsatfu, ngenxa yesimo wer - izindlela isosceles, EWR engela 45 degrees, futhi unxantathu okuholela - ne engela unxande ngasesinqeni no-45 degrees, okuvumela ukuba aqinisekise isosceles yakhe. It kulandela ukuthi wt = TY.
2. TY = ET njengoba izinhlangothi isikwele.
3. Ukulandela algorithm esifanayo, esiyithola okulandelayo: YU = UR, futhi UR = EU.
4. Uhlangothi unxantathu kungenziwa imelelwa isamba izingxenye. EW = ET + TW, futhi ER = EU + UR.
5. Njengoba ezothatha isikhundla izingxenye alinganayo, Singaphetha ngokuthini: EW = ET + TY, futhi ER = EU + UY.
6. Uma azungezwe we isikwele elalibhalwe uwukubonakaliswa ifomula (ET + TY) + (EU + UY), ngenye indlela-ke kungenziwa ebhaliwe, okusho ukuthi kuphela ukubaluleka etholakala izinhlangothi triangle, EW + ER. Okungukuthi, azungezwe we isikwele alotshiwe unxantathu unxande nge afanayo engela kwesokudla ilingana isamba nezinye izinhlangothi ezimbili.

Yiqiniso, akuzona zonke izinketho kuhlaziywa azungezwe we isikwele, kodwa kuphela ezivame kakhulu. Kodwa bonke zisekelwe yokuthi azungezwe we quadrilateral - value ngokufingqiwe kwazo zonke izinhlangothi zalo. Futhi akukho indlela yokuphunyuka!