Video: Dab tsi yog kev sib raug zoo ntawm sab nrauv thiab sab hauv lub kaum sab xis ntawm daim duab peb sab?
2024 Tus sau: Miles Stephen | [email protected]. Kawg hloov kho: 2023-12-15 23:36
Cov lub kaum sab xis nyob rau sab hauv hu ua Sab hauv cov ces kaum . Qhov sum ntawm sab hauv cov ces kaum ntawm daim duab peb sab yog ib txwm 180 degrees. Cov sab nrauv lub kaum sab xis yog cov lub kaum sab xis ntawm ib sab ntawm ib daim duab, thiab ib txoj kab txuas los ntawm sab tom ntej. sum ib sab nrauv lub kaum sab xis thiab nws nyob ib sab sab hauv lub kaum sab xis kuj yog 180 degrees.
Hais txog qhov no, kev sib raug zoo ntawm sab nrauv thiab sab hauv cov ces kaum yog dab tsi?
Hauv kev xaus, peb kawm tau tias ib qho sab hauv lub kaum sab xis yog ib lub kaum sab xis hauv ib lub cev, thaum ib sab nrauv lub kaum sab xis yog ib lub kaum sab xis ua los ntawm sab ntawm ib daim duab thiab ib kab kos tawm ntawm ib sab uas nyob ib sab. Qhov sum ntawm tus sab hauv cov ces kaum ntawm ib daim duab peb sab yog ib txwm 180.
Tsis tas li ntawd, koj yuav pom lub kaum sab hauv ntawm daim duab peb sab nrog cov kaum sab nrauv li cas? Vim tias cov ces kaum sab hauv ntawm daim duab peb sab ntxiv rau 180 °, thiab cov ces kaum c + d kuj ntxiv rau 180 °:
- Lub kaum sab hauv ntawm daim duab peb sab ntxiv rau 180 °: a + b + c = 180 °
- Lub kaum sab xis c thiab d ua lub kaum sab xis, uas yog 180 °: d + c = 180 °
- Yog li d + c sib npaug a + b + c: d + c = a + b + c.
- rho c los ntawm ob sab: d = a + b.
Ua raws li qhov xav tau, lub kaum sab nrauv ntawm daim duab peb sab sib npaug li cas?
Ib sab nrauv lub kaum sab xis ntawm ib daim duab peb sab yog sib npaug cov sum ntawm 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.
Yuav ua li cas koj thiaj paub tias nws lub kaum sab hauv lossis sab nrauv?
Sab hauv cov ces kaum yog ntsuas los ntawm ib sab mus rau ib qho uas nyob ib sab INSIDE lub polygon. Sab nrauv cov ces kaum yog ntsuas los ntawm sab uas nyob ib sab mus rau EXTENDED sab nraud kab los ntawm lub polygon.
Pom zoo:
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