Indlela yokufumana umgama kwi nokulungelelanisa moya

Kwimathematika, algebra kunye nejiyometri iseti imisebenzi lokufumana umgama ukuya ingongoma okanye umgca othe ngqo ukusuka into ethile. Akuve ngeendlela ezahlukeneyo, ahleliweyo elandelwayo exhomekeke kule lwe data. Siqwalasela ukufumana indlela umgama phakathi kwezinto kwangaphambili kwiimeko ezahlukeneyo.

Ukusebenzisa izixhobo zokulinganisa

Ngelo lokuqala kuphuhliso lwemathematika bafundiswa indlela yokusebenzisa izixhobo ezisisiseko (ezifana umphathi, neprotrektha, ikhampasi, unxantathu, njalo njalo). Fumana umgama phakathi amanqaku okanye ngqo ngoncedo lwabo kulula. Yanele ukuba wenze isikali iimbambaniso ubhale impendulo. Enye kuphela ukuba azi ukuba umgama lilingana ubude kumgca othe ngqo singa zotywa phakathi amanqaku, yaye kwimeko lwelayini ukufana - nkqo phakathi kwabo.

Ukusebenzisa theorems geometry elikuwo

Xa kwisikolo samabanga aphakamileyo, funda balinganise umgama ngaphandle kokusebenzisa izixhobo ezikhethekileyo okanye iphepha igrafu. Oku kufuna theorems eziliqela, elikuwo kunye nobungqina. Amaxesha amaninzi, ingxaki yokufumana indlela umgama, ukunciphisa ukuyilwa unxantathu ekunene , kunye ukukhangela iqela lakhe. Ukusombulula ezi ngxaki azi theorem kaPythagoras iimpawu ngokwaneleyo oonxantathu kunye neendlela ukuguqulwa.

Iingongoma kwi nokulungelelanisa moya

Ukuba kukho iingongoma ezimbini kwaye anikwe isikhundla zabo ukuququzelela nezamazembe, ngoko ukufumana indlela umgama ukusuka kwelinye ukuya kwelinye? Isisombululo iya kuquka izigaba ezininzi:

1. Umgca osuka amanqaku, kunye nobude apho kuya kubakho umgama phakathi kwabo.
2. Fumana umahluko kulungelelanisa amaxabiso amanqaku (k, p) of axis nganye: | a ₁ - ₂ | = d ₁ | r ₁ - r ₂ | = d ₂ (values modulo athathe, ekubeni umgama ngeke negative) .
3. Emva koko, amanani nto ekubiyeni baze bawadibanise square: _D1 ² + d _{² Februwari}
4. Inyathelo lokugqibela iza kuba esomba ingcambu inani onesiphumo. Oku kuya kuba umgama phakathi amanqaku: d = V _{(D1 D2} ² + ^2).

Ngenxa yoko, umxube yonke ikhutshwa phandle ifomula omnye, apho umgama lilingana ingcambu wamcacisela inani umahluko ophindwe of ezihambelanayo:

d = V (| a ₁ - ₂ | ² + | p ₁ - p ₂ | ²⁾

Ukuba unombuzo malunga yokufumana indlela umgama ukusuka kwenye indawo ukuya kwenye in isithuba-ntathu, efuna impendulo yinto eyahlukileyo kakhulu ukusuka ngentla. Esi sigqibo siya kusekelwa ifomula ilandelayo:

d = V (| a ₁ - ₂ | ² + | p ₁ - p ₂ | ² + | f ₁ - f ₂ | ²⁾

imigca parallel

A nkqo zithathwa nayiphi na indawo elele kumgca ngqo, kufana, kwaye uya kuba kude. Xa zokusombulula iingxaki-moya kufuneka ufumane uququzelelo nayiphi na indawo enye inombolo. Uze ubale umgama ukusuka kwi kumgca wesibini. Ukuze wenze oku, sibanika ngqo equation jikelele ifomu Ax + Ngu + C = 0. Ukususela iimpawu imigca ngaxeshanye eyaziwa ukuba okuza A no-B bayalingana. Kulo mzekelo, fumana umgama phakathi kwemigca parallel unokuba ifomula:

d = | C ₁ - C ₂ | / V (A ² + B ²⁾

Ngoko ke, ekuphenduleni umbuzo yokufumana indlela umgama ukusuka into ekujoliswe kulo, kufuneka akhokelwe imiqathango le ngxaki kwaye inika izixhobo ukuyisombulula ngayo. Ezipilisi kuba izixhobo, kunye theorems kunye neefomula.