Yadda za a sami wuri na triangle na rectangular a cikin hanya mai ban mamaki

A cikin darussan da na lissafi a high school duk da mu yi magana game da yadda za a sami fannin rectangular alwatika. Duk da haka, a cikin tsarin tsarin makarantar, muna karɓar ilimin da yafi dacewa kuma muyi koyi da hanyoyin da aka fi dacewa da daidaito. Akwai hanyoyi masu ban mamaki na gano wannan darajar?

A matsayin gabatarwa, bari mu tuna abin da alamar ta ɗauka ta zama rectangular, kuma tana nuna ma'anar yankin.

Dama alwatika ake kira rufaffiyar lissafi siffar, daya kusurwa na wanda yake daidai da 90 ^0. Muhimmi a cikin definition of Concepts na dama alwatika ne kafafu da hypotenuse. Ta hanyar kafafu suna nufin bangarorin biyu, wanda a cikin jigon jigon hanyoyi ne na dama. Tsarin tsauraran abu shine kishiyar kusurwar dama. Tigon dama zai iya zama isosceles (duka ɓangarorin biyu za su sami daidai wannan darajar), amma ba zai zama daidai ba (duk bangarorin daya daidai). Ba'a tattauna dalla-dalla dalla-dalla na tsawo, jinsuna, vectors da wasu ka'idodin lissafi. Suna da sauki a cikin littattafai masu tunani.

Matsayi mai maƙallan dama. Ba kamar ɗigon hanyoyi ba ne, mulkin mallaka aiki jam'iyyun a kayyade yanki na alwatika ba shi da inganci. Idan muna magana da harshen bushe na sharuddan, to, ta wurin adadin maƙallin da muke nufi dukiyar wannan adadi don zama ɓangare na jirgin saman da aka bayyana a lamba. Yana da wuya a gane, za ku yarda. Ba za mu yi ƙoƙari mu shiga zurfin shiga cikin ma'anar ba, batu ba shine wannan ba. Bari mu matsa zuwa babban abu - yadda za mu sami wuri na alƙalan hagu-angled? Ba za mu yi lissafin kanmu ba, zamu nuna alamomin kawai. Don haka mun ayyana bayanin: A, B, C - bangarori na triangle, kafafu - AB, BC. Hanya na ACB madaidaici ne. S - yanki na alwatika, h _{n n} - tsawo daga cikin alwatika, inda nn - jam'iyyar to wanda shi ne saukar da.

Hanyar 1. Ta yaya za ka sami wuri na triangle mai kyau, idan an san girman kafafunsa

S = 0.5 * a * b

Hanyar 2. Nemo yankin wani ɓangaren hawan gwal na hagu

S = 0.5 * h _BC * _BC

Hanyar 3: Yi ƙidayar yankin ta hanyar rectangle

Mun gama rubutun rectangular zuwa square (idan triangle Isosceles) ko kuma madaidaiciya. Mun sami sauƙi mai sauƙi wanda ya ƙunshi 2 nau'i-nau'in rectangular. A wannan yanayin, darajar yankin ɗaya daga cikinsu zai zama daidai da rabin rabi na adadi da aka samu. S na rectangle an lasafta ta samfurin na tarnaƙi. Bari mu kwatanta wannan darajar M. Tamanin da ake bukata na yankin zai zama daidai da rabi M.

S = 0.5 * M

Hanyar 4. "Pythagorean Pants". Shahararren sanannen littafin Pythagoras

Dukanmu mun tuna da maganarta: "Jimlar murabba'in kafafu ...". Amma ba kowa ba ne Ka ce, kuma a nan wasu "wando". Gaskiyar cewa asalin Pythagoras karatu da dangantakar yankin na square, gina a kan sasanninta, alwatika kai tsaye. Da yake ya gano ma'anonin gwamnati a cikin raunin gefen ƙananan murabba'i, ya sami damar samo ma'anar da aka sani ga dukan mu. Ana iya amfani dasu a lokuta inda darajar ɗayan ƙungiyoyin ba a sani ba.

Hanyar 5. Ta yaya za ka samo yanki na alƙalan hagu na hanyar Heron?

Har ila yau, hanya ce mai sauƙi don lissafta. Ma'anar tana ɗaukar ma'anar yankin ta triangle ta hanyar adadin lambobi na sassan. Don ƙididdiga wajibi ne a san dabi'u na kowane bangare na alwashi.

S = (p-AC) * (p-BC), inda p = (AB + BC + AC) * 0.5

Baya ga abin da ke sama, akwai wasu hanyoyi dabam dabam don gano darajar wannan adadi mai mahimmanci a matsayin mai tushe. Daga cikin su: ƙididdiga ta hanyar hanyar rubutun da aka rubuta ko kewaye, ƙididdiga ta hanyar daidaitattun wurare, amfani da kayan aiki, cikakkiyar darajar, sines, tangents.