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A kewaye da square mu sami ta hanyoyi da dama

Wani lokaci, kafin mutumin samun sama kusa da bukatar samun da kewaye da square. Alal misali, kana bukatar ka yi wani shinge a kusa da square yankin, wallpapered square dakin ko sanya wani bango da square dance zauren madubi. Don lissafi da adadin kayan da ake bukata, shi ne wajibi ne don yin musamman lissafin. Kuma shi ne to, ba da sanin yadda za a sami kewaye da square, za a saya abu "da ido". To, idan yana da cheap wallpaper, amma karin madubi wanda sa'an nan ya sa? Kuma tare da wata kasawa na kayan nan shi ne quite wuya a sami wani karin daga cikin wannan quality.

Saboda haka, yadda za ka san abin da yake kewaye da square? Mun sani cewa dukan jam'iyyun daidai suke da da square. Kuma idan kewaye - Naira Miliyan Xari da duk bangarorin na polygon, da kewaye da square za a iya rubuta kamar (q + q + q + q), inda q - da darajar nuna tsawon gefe daya daga cikin square. Babu shakka, mafi m ne don amfani da multiplication. Saboda haka, kewaye da square - wani hudu darajar m zuwa tsawon daga sãsanninta, ko 4q, inda q - gefe.

Amma idan muka san kawai yankin na square, da kewaye daga wanda ka so gano - abin da ya yi a cikin wannan hali? Kuma a sa'an nan kome ne mai sauqi qwarai! Daga cikin sanannun Figures, wanda ya nuna yankin na square, kana bukatar ka sa hakar square asalinsu. Kamar wancan ne da darajar da square za a iya samu. Yanzu duba ga kewaye da square wajibi ne bisa ga dabara samu a sama.

Wani tambaya, idan kana bukatar ka sami kewaye da square a kan diagonal. Ga ya kamata mu tuna da Pythagorean Theorem. La'akari da wani square da diagonal lalle idan WR. WR raba square cikin biyu-dama angled isosceles alwatika. Idan muka sani da tsawon da diagonal (yanaye yarda da shi ga z, da kuma gefen - for u), sa'an nan tamanin da square dole ne, a nemi a kan tushen da dabara: square daga z ne daidai sau biyu square na u, daga abin da muka kacokan: u ne, sunã daidaita da square tushen, debo daya-rabin na hypotenuse na wani square . Next na karuwa sakamakon da sau 4 - shi ke da ku da kuma kewaye da square!

Nemo shugabanci na square iya zama da radius daga cikin da'irar rubũtacce a cikinsa. Bayan duk, da rubũtacce da'irar ta shãfi duk bangarorin na square, inda cikar ne - diamita daga da'irar daidaita da tsayin daga cikin square. A diamita - shi ne sananne ga dukan - ninki biyu na radius.

Idan ka san radius ko diamita na da'irar circumscribed a kusa da wani square, a nan za mu ga cewa duk hudu vertices na wani square aka shirya a kan wani da'irar. Saboda haka, da diamita daga cikin circumscribed da'irar ne, sunã daidaita da tsayin daga cikin diagonal na square. Shan wannan halin da ake ciki a matsayin wani ba, bi da kirga kewaye da dabara gano kewaye ta diagonals, tattauna a sama.

Wani lokaci wani aiki a cikin abin da za ka bukatar ka gano abin da yake kewaye da square, wanda ke rubuce a wani isosceles dama alwatika haka da cewa daya kusurwa na square daidai da kai tsaye kwana na alwatika. Aka sani shi ne kafa na daga cikin geometrical adadi. Nuna a fakaice kamar alwatika Wer, a cikinsa E ne na kowa kokuwa.

Rubũtacce square za a alama ETYU. ET gefe ne a gefen MU, da kuma gefen EU - a gefe na ER. Y kokuwa ta'allaka ne a kan hypotenuse WR. Ganin kara zane, karshe za a iya kõma:

  1. WTY - isosceles alwatika, saboda yanayin Wer - isosceles wajen, EWR kwana ne 45 digiri, da kuma sakamakonsa na alwatika - tare da rectangular kwana a tushe da kuma 45 digiri, wanda ya yale mu mu tabbata ya isosceles. Yana bi da cewa Aminiya = TY.
  2. TY = ET matsayin bangarorin da square.
  3. Wadannan guda algorithm, mun samu wadannan: Yu = UR, kuma UR = EU.
  4. Gefen da alwatika za a iya wakilta a matsayin Naira Miliyan Xari da segments. EW = ET + TW, kuma ER = EU + UR.
  5. Maye gurbin daidai segments, mu kacokan: EW = ET + TY, kuma ER = EU + UY.
  6. Idan kewaye da rubũtacce square da aka bayyana, ta hanyar dabara (ET + TY) + (EU + UY), a wasu sauran hanyar da shi za a iya rubuta, ma'ana cewa kawai samu darajar da alwatika tarnaƙi, kamar yadda EW + ER. Wato, da kewaye da square rubũtacce a wani rectangular alwatika da matching dama kwana ne daidai da Naira Miliyan Xari da sauran bangarorin biyu.

Wannan, ba shakka, ba duk zaɓuɓɓuka saboda kirga kewaye da square, amma kawai ya fi na kowa. Amma dukkan su suna dogara ne a kan gaskiyar cewa kewaye da quadrilateral - a takaita darajar duk sãsanninta. Kuma akwai wata mafaka!

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