Koj ua pov thawj li cas ntawm cov ces kaum sab nrauv ntawm daim duab peb sab yog 360?
Koj ua pov thawj li cas ntawm cov ces kaum sab nrauv ntawm daim duab peb sab yog 360?

Video: Koj ua pov thawj li cas ntawm cov ces kaum sab nrauv ntawm daim duab peb sab yog 360?

Video: Koj ua pov thawj li cas ntawm cov ces kaum sab nrauv ntawm daim duab peb sab yog 360?
Video: Saib Mis paub Poj niam (hluas nkauj) tus yam ntxwv lub siab 2024, Kaum ib hlis
Anonim

Ib sab nrauv lub kaum sab xis ntawm ib daim duab peb sab yog sib npaug rau cov sum ntawm qhov opposite sab hauv cov ces kaum . Yog xav paub ntxiv txog qhov no saib Daim duab peb sab sab nraud theorem. Yog sib npaug lub kaum sab xis yog coj ntawm txhua vertex, lub sab nrauv cov ces kaum ib txwm ntxiv rau 360 ° Qhov tseeb, qhov no muaj tseeb rau txhua qhov convex polygon, tsis yog daim duab peb sab.

Ib yam li ntawd, nws raug nug, koj ua li cas ua pov thawj cov kaum sab nrauv ntawm daim duab peb sab?

Sab nrauv lub kaum sab xis ntawm daim duab peb sab Theorem Theorem 2: Yog ib sab ntawm a daim duab peb sab yog ncua, ces tus sab nrauv lub kaum sab xis yog li tsim yog cov sum ntawm ob opposite sab hauv lub kaum sab xis ntawm daim duab peb sab . Hauv daim duab muab, sab BC ntawm ∆ABC txuas ntxiv.

Ib yam li ntawd, koj yuav ua li cas thiaj nrhiav tau qhov sib npaug ntawm cov ces kaum sab nrauv? Cov sum ntawm sab nrauv cov ces kaum ntawm ib tug tsis tu ncua polygon yuav ib txwm sib npaug 360 degrees. Rau nrhiav tus nqi ntawm ib tug muab sab nrauv lub kaum sab xis ntawm ib tug tsis tu ncua polygon, tsuas yog faib 360 los ntawm tus naj npawb ntawm sab los yog lub kaum sab xis uas lub polygon muaj.

Ib yam li ntawd, koj tuaj yeem nug, dab tsi yog qhov txiaj ntsig ntawm 3 sab nrauv lub kaum sab xis ntawm daim duab peb sab?

Ib qho tuaj yeem txiav txim siab qhov suav ntawm tag nrho peb lub kaum sab nrauv, uas sib npaug rau 360 ° hauv Euclidean rooj plaub (raws li rau txhua qhov convex. polygon ), yog tsawg dua 360 ° nyob rau hauv cov ntaub ntawv kheej kheej, thiab ntau dua 360 ° nyob rau hauv cov ntaub ntawv hyperbolic.

Puas tag nrho cov ces kaum hauv daim duab peb sab ntxiv txog 360?

Txij li thaum daim duab peb sab yog congruent txhua daim duab peb sab muaj ib nrab li ntau degrees, namely 180. Yog li no yog muaj tseeb rau txhua txoj cai daim duab peb sab . Tab sis yog koj saib ob txoj cai lub kaum sab xis uas ntxiv rau 180 degrees ces lwm yam lub kaum sab xis , cov lub kaum sab xis ntawm tus thawj daim duab peb sab , ntxiv mus txog 360 - 180 = 180 °.

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