Bisector na alwatika kuma da kaddarorin

Daga cikin mutane da yawa batutuwa na sakandare da kamar "lissafi". A bisa ga al'ada, an yi imani da cewa magabatan wannan din kimiyya ne Helenawa. A ranar, da Girkanci lissafi kira na farko, tun da shi ne farkon da binciken daga cikin sauki siffofin: jirage, Lines, na yau da kullum polygons da triangles. A karshe za mu daina your da hankali, amma maimakon a kan bisector wannan adadi. Ga waɗanda suka manta, a bisector na alwatika ne a kashi bisector na daya daga cikin kusassari na alwatika, wanda ya raba da shi a cikin rabin da kuma shiga saman wani batu dake a gefen.

Bamuda Bisector yana da yawan Properties cewa bukatar san lokacin da akayi tare da wasu matsaloli:

• Bisector wakiltar wuri na da maki a daidai nisa m daga kusurwa m ga bangarorin.
• Bisector na alwatika raba kishiyar sashi daga wajen kusurwar, a cikin segments da suke gwargwado ga m gefe. Alal misali, ba alwatika MKB, inda K ke daga kusurwa bisector haɗa da kokuwa na kwana ga zance A kan kishiyar sashi MB. Bayan nazarin da dukiyar da mu alwatika, dole mu MA / AB = MK / KB.
• A batu a wadda rarraba da bisector na uku kusassari na alwatika ne a tsakiyar wata da'irar da ke rubuce a wannan alwatika.
• Base bisectors daya waje da kuma biyu ciki kusassari ne a kan wannan mike line, bayar da cewa na waje bisector na kwana ba a layi daya to kishiyar sashi na alwatika.
• Idan biyu bisectors na wani alwatika ne daidai, sa'an nan da alwatika ne isosceles.

Ya kamata a lura da cewa idan uku daga cikin bisector, gina wani alwatika a kan su, har ma tare da taimakon wani kamfas, ba shi yiwuwa.

Sau da yawa sosai a lokacin da warware matsaloli bisector na alwatika ne ba a sani ba, amma shi wajibi ne don sanin da tsawon. Don warware wannan matsala shi wajibi ne don sanin kwana, wanda aka raba a rabin bisector na, kuma m ga wannan kusurwa na ɓangare. A wannan yanayin, da ake so tsawon aka bayyana a matsayin rabo na sau biyu, da kusurwa m zuwa samfurin gefe da cosine na kwana na bisection zuwa Naira Miliyan Xari da bangarorin m zuwa kusurwa. Alal misali, ba duka guda MKB alwatika. Ya kofofi da bisector na kwana K kuma CF rarraba kishiyar sashi a ɗan lokaci A. A kwana daga wanda bisector aka denoted y. Yanzu mun rubuta duk abin da ya ce kalmomi a matsayin dabara: KA = (2 * MK * KB * cos y / 2) / (MK + KB).

Idan darajar da kwana daga wanda bisector na alwatika, shi ne ba a sani ba, amma da aka sani ga duk sãsanninta, domin yin lissafi da tsawon bisector, za mu yi amfani da wani ƙarin m, wanda muke kira semiperimeter da denoted da wasika P: P = 1/2 * (MK + KB + MB). Sa'an nan yin wasu canje-canje a cikin sama dabara, wanda aka ƙaddara da bisector na tsawon, wato, a cikin numerator kafa sau biyu square tushen da samfurin na tsawo daga cikin bangarorin m zuwa kusurwa, da kuma musamman semiperimeter inda semiperimeter mu cire daga tsawon na uku gefe. A hada da aka bar canzawa. A dabara form wannan zai bayyana a matsayin: KA = 2 * √ (MK * KB * P * (P-MB)) / (MK + KB).

Bisector na dama alwatika yana da guda Properties kamar yadda a saba, amma, banda waɗanda aka riga aka sani, akwai sabon: bisector kaifi sasanninta a rarrabawa a rectangular alwatika samar da wani kwana na 45 digiri. Idan dole, shi ne mai sauki don tabbatar da, ta amfani da kaddarorin na alwatika da m kusassari.

Bisector na wani isosceles alwatika tare da general Properties kuma yana da 'yan da kansa. Bari mu tuna cewa shi ne domin alwatika. Irin wannan alwatika bangarorin biyu suna daidai, kuma suna dab da tushe kusassari. Yana bi da cewa bisector, wanda nutse a wani tarnaƙi isosceles alwatika ne daidai. Bugu da kari, da bisector, kika aika a kan substrate, da kuma lokaci guda, babban kuma tsakãtsaki ce.