Li-circles le li-tangent
Pendahuluan
Selikalikoe ke e 'ngoe ea libopeho tsa jeometri tsa motheo le tse khahlang ka ho fetisisa. Lintho tsena tse peli tsa motheo ho jeometri li bapala karolo ea bohlokoa likarolong tse fapaneng tsa bophelo, ho kenyeletsoa saense, boenjiniere, bonono, esita le bophelo ba letsatsi le letsatsi. Sehloohong sena, re tla hlahloba litlhaloso, thepa, likamano tsa lipalo, le ts'ebeliso e 'ngoe e sebetsang ea li-circles le li-tangent.
Tlhaloso ea Selikalikoe
Selikalikoe ke pokello ea lintlha tse hole ka ho lekana le ntlha e itseng ea bohareng. Sebaka se pakeng tsa ntlha e bohareng le ntlha efe kapa efe e selikalikoeng se bitsoa radius. Ho sa le joalo, bophara ke karolo ea mola e fetang ntlheng e bohareng 'me e hokahanya lintlha tse peli selikalikoeng. Bophara kamehla bo feta radius habeli.
Foromo ea Motheo ea Selikalikoe
1. Selikalikoe sa Selikalikoe (C): C = 2πr, moo r e leng radius.
2. Sebaka sa Selikalikoe (A): A = πr².
Li-circles li ka boela tsa emeloa ka mokhoa oa li-equation tsa Cartesian, e leng:
\[ (x – h)^2 + (y – k)^2 = r^2 \]
moo (h, k) e leng likhokahano tsa bohareng ba selikalikoe 'me r ke radius.
Tlhaloso ea Mohala oa Tangent
Mola o otlolohileng ke mola o amang selikalikoe ntlheng e itseng, e bitsoang ntlha ea ho potoloha. Mola ona ha o kopane le selikalikoe, empa o ama sona feela. Thepa ea motheo ea mola o otlolohileng ke hore kamehla o otlolohile ho radius ea selikalikoe ntlheng ea ho potoloha.
Tekanyo ea Mohala oa Tangent
Selikalikoeng se bohareng ba (h, k) se nang le radius r, equation ea mola o tangent o fetang ntlheng \( (x_1, y_1) \) selikalikoeng e ka fumanoa ka ho sebelisa foromo:
\[ (x_1 – h)(x – h) + (y_1 – k)(y – k) = r^2 \]
Ena ke equation ea mola o amang selikalikoe ntlheng \( (x_1, y_1) \).
Kamano ea Lipalo Pakeng tsa Selikalikoe le Mola oa Tangent
Ntlha ke ntlha e potileng mola o hodima selikalikoe haeba feela sebaka se tlohang bohareng ba selikalikoe ho ya mola se lekana le radius ya selikalikoe.
A re re re na le selikalikoe se nang le setsi ho \( (h, k) \) le radius r, le mola \( ax + by + c = 0 \). Foromo ea sebaka ho tloha ntlheng \( (h, k) \) ho ea mola ke:
\[ D = \frac{|ah + bk + c|}{\sqrt{a^2 + b^2}}. \]
Mola ke tangent haeba le haeba feela \( D = r \), e leng se hlahisang boemo:
\[ \frac{|ah + bk + c|}{\sqrt{a^2 + b^2}} = r. \]
Litšebeliso tse Sebetsang le Mehlala ea Nyeoe
Boenjiniere le Theknoloji
Boenjiniere ba tsa kaho le tsa mechini, di-circle le tangent di sebediswa moralong wa mabili, di-brake le dikarolo tse ding tsa mechini. Mohlala, moralo wa di-gear o kenyeletsa tshebediso ya di-circle ho netefatsa hore di-cluster di potoloha hantle.
Bolepi ba linaleli
Thutong ea linaleli, litsela tsa lipolanete le li-satellite hangata li etsoa mohlala oa li-circles kapa li-ellipses. Li-tangent le khopolo ea ho tiea ha li-angle li thusa litsebi tsa linaleli ho utloisisa motsamao oa lihloliloeng tsa leholimo tse potolohang.
Keamanan
Mekhoa ea radar le sonar hangata e sebelisa molao-motheo oa li-circles le tangents ho lemoha le ho fumana lintho. Ho utloisisa sebaka se pakeng tsa setsi sa ho lemoha le ntho ho etsa hore ho be bonolo ho fumana sebaka le lebelo la sepheo.
Bonono le Moralo
Meralo e mengata ea meralo le ea bonono e sebelisa li-circle le li-tangent. Mohlala, meralo ea dome le meaho ea meaho hangata e kenyelletsa li-circle bakeng sa botle le matla a sebopeho.
Lipalo
Thutong ea lipalo, lefapha la jeometri le beha bohlokoa bo boholo mehopolong ea li-circles le li-tangent. Li-theorem tsa bohlokoa tse kang theorem ea Pythagorean, theorem ea Apollonius, le tse ling tse ngata li kentse letsoho haholo thutong e tsoelang pele.
Phuputso e Eketsehileng
Tšebeliso ea Likhalkhuleita le Software
Ka tsoelo-pele ea theknoloji, joale re na le phihlello ea li-calculator le software tse fapaneng tse ka re thusang ho utloisisa hamolemo litšobotsi tsa lipalo tsa li-circles le li-tangent. Mananeo a kang GeoGebra, MATLAB, le lits'ebetso tse ling tse ngata a lumella pono le tlhahlobo e nepahetseng haholo.
Liteko le Litebello
Ho etsa liteko tse bonolo ho sebelisa mohlala oa selikalikoe le tangent ho ka thusa haholo ho utloisisa mohopolo ona hamolemo. Mohlala, ho sebelisa sesupa-tsela ho taka selikalikoe le ho lekanya tangent ho ka fana ka temohisiso e sebetsang mabapi le kamano ena.
Lipatlisiso tse ling
Bakeng sa ba nang le thahasello ea ho batlisisa haholoanyane, ho na le masimo a mangata a lipatlisiso a shebaneng le li-circle le tangents. Ho tloha khopolo-taba ea grafo le topology ho isa lits'ebetsong tsa jiometri ea tlhahlobo bohlaleng ba maiketsetso le liroboto, ho na le litsela tse ngata tsa ho hlahloba tsebo ka li-circle le tangents.
Qetello
Didikadikwe le di-tangent ke dikgopolo tsa motheo empa e le tse matla ka hara jeomethri tse sebedisitsweng dikarolong tse ngata tsa saense le tse sebetsang maphelong a rona. Ho tloha boenjiniere le theknoloji ho ya ho bonono le moralo, le ho feta moo, ho ya mafapheng a kang bolepi ba dinaledi le tshireletso, ho utlwisisa didikadikwe le di-tangent ho bula monyako wa ditshibollo tse ntjha tse makatsang le ditshebediso tse sebetsang. Re tshepa hore sengoloa sena se fane ka temohisiso e eketsehileng mme sa tsosa thahasello ya hao sehloohong sena.
Bakeng sa ho batlisisa haholoanyane, ho bala litšupiso tse ling, liteko tse sebetsang, le ho sebelisa lisebelisoa tsa theknoloji ho ka thusa haholo ho tebisa kutloisiso ea hau ea didikadikwe le li-tangent. Ke thabile ho batlisisa!
