Kujikelezo square sifumana ngeendlela ezahlukeneyo

Maxa wambi, ngaphambi kokuba umntu uvuka olusondeleyo imfuneko ukufumana kujikelezo isikwere. Umzekelo, kufuneka wenze wasibiyela kwindawo yembutho, wallpapered igumbi square okanye abeke ludonga square iholo lomdaniso esipilini. Ukubala ubungakanani izinto ezifunekayo, kuyimfuneko ukwenza izibalo ezizodwa. Kwaye ke ngoko, bengazi ukuba ukufumana indlela kujikelezo isikwere, kuya kufuneka ukuba afumane eziphathekayo "yi iliso". Kulungile, ukuba oko cheap iphepha lodongo, kodwa isipili extra leyo ke wabeka? Yaye nokunqongophala kwezinto ngoko kunzima kakhulu ukufumana ngaphezulu kwe umgangatho ofanayo.

Ngoko ke, ngaba uyazi ukuba yintoni na kujikelezo isikwere? Siyazi ukuba onke amaqela bayalingana ukuba isikwere. Ke ukuba umjikelezo - udibaniso macala onke polygon, kujikelezo isikwere angabhalwa (q + q + q + q), apho q - ixabiso ebonisa ubude elinye icala isikwere. Ngokwendalo, elula kakhulu ukuba ukusebenzisa phindo. Ngenxa yoko, kujikelezo square - ixabiso kane ulungelelene nobude lwaso okanye 4q, apho q - icala.

Kodwa ukuba siyazi kuphela indawo ye square, iiperimeter ofuna ukufumana phandle - ntoni kule meko? Ke ngoko yonke into ilula kakhulu! Ukususela amanani ezaziwayo-kakuhle, nto leyo yabonisa indawo yembutho, kufuneka enze nezokukhupha kweengcambu square. Ngoko ke ixabiso isikwere ziya kufumaneka. Ngoku khangela kujikelezo isikwere kuyimfuneko ngokomgaqo wokubala efunyenwe ngasentla.

Omnye umbuzo, ukuba ufuna ukufumana kujikelezo kwinkundla idiagonal. Apha kufuneka sikhumbule theorem kaPythagoras. Cinga isikwere kunye wacoceka WR oxwesileyo. WR wabahlula isikwere zibe isosceles ekunene-engile egqithe unxantathu. Ukuba siyazi ubude idiagonal (kwemiqathango ukwamkela ngenxa z, kwaye icala - kuba u), ngoko ke ixabiso isikwere kufuneka kufunwe ngokusekelwe wokubala: kwisikweri se z uyalingana kabini isikwere of u, ukusuka apho lisenza: u lilingana ingcambu, wathabatha enye-isiqingatha hypotenuse lwe ngcambu . Okulandelayo luyanda isiphumo ngokuphindwe 4 - nguwe kunye kujikelezo ezisikwere!

Fumana ulwalathiso square kunokuba embindini wesangqa abhaliwe kuyo. Ngapha koko, le isangqa ebhalwe echukumisa yonke emacaleni isikwere, apho sigqibo - netoti kwisangqa elingana ubude isikwere. A ububanzi - ngaba iyaziwa yonke - kabini embindini.

Ukuba uyazi embindini okanye netoti kwisangqa nezisekelwe ezijikeleze isikwere, apha siyabona ukuba zonke eziphezulu amane isikwere zilungiswe kwisangqa. Ngenxa yoko, i-sangqa wesangqa nezisekelwe ilingana ubude idiagonal kwisikwere. Ukuthatha le meko njengoko enikiweyo, kulandele yokubala kujikelezo formula ekufumaneni iperimitha idayagonali zayo, kuxoxwe ngasentla.

Maxa wambi umsebenzi apho ufuna ukufumanisa ukuba yintoni na kujikelezo isikwere, okubhaliweyo i isosceles unxantathu ekunene kangangokuba omnye ekoneni square ingqamana engile ngqo lo nxantathu. Eyaziwayo nomlenze mzobo zejometri. Libhekisela ngathi unxantathu im, apho E i enekona eqhelekileyo.

square sibhalwe ziya kumakishwa ETYU. icala ET phezu ecaleni SIZA, lize icala EU - kwicala le ER. Y enekona ungqengqa WR hypotenuse. Xa ucinga umzobo ngakumbi, saphetha:

1. WTY - isosceles unxantathu, ngenxa yemeko im - iindlela isosceles, EWR angle kumgomo we 45 °, kwaye unxantathu okubangelwa - nge angle eziziingxande esisekweni kunye degrees 45, nto leyo evumela kusenza siqiniseke isosceles bakhe. Oku kulandela ukuba W. = Y..
2. Y. = ET njengoko emacaleni isikwere.
3. Emva algorithm efanayo, ukufumana ezi zilandelayo: YU = iUre, kunye ur = EU.
4. Icala nxantathu angamelwa njengoko sum of the amacandelo. W. = ET + TW, yaye ER = EU + eUre.
5. Ukufaka ziqwempu bayalingana, lisenza: EW = ET + Y., yaye ER = EU + uy.
6. Ukuba kujikelezo kwisikweri sibhalwe kubonakaliswa olungumgubo (ET + Y.) + (EU + uy), kwezinye enye indlela kuba kubhaliwe kwathiwa, ethetha ukuba kuphela ixabiso efunyenwe wamacala nxantathu, njengoko W. + ER. Oko kukuthi, kujikelezo square abhaliwe unxantathu oluxande ezifana esinekona sasekunene lilingana sum of elinye macala mabini.

Oku, Kakade ke, asizizo zonke iinketho yokubala kujikelezo isikwere, kodwa kuphela ixhaphakileyo. Ke bonke bephela isekelwe kwinto yokuba kujikelezo Ikwadrilatherali - ixabiso eshwankathelweyo onke macala ayo. Kwaye akukho ukubaleka kukho!