Tsis tu ncua polygon zog

Hauv kev tshaj tawm no, peb yuav txiav txim siab txog cov khoom tseem ceeb ntawm ib lub polygon tsis tu ncua hais txog nws cov kaum sab hauv (nrog rau lawv cov lej), tus lej ntawm kab pheeb ces kaum, qhov nruab nrab ntawm cov voj voog ncig thiab kos npe. Cov qauv rau kev nrhiav qhov yooj yim kom muaj nuj nqis (chaw thiab ib puag ncig ntawm ib daim duab, radii ntawm lub voj voog) kuj raug txiav txim siab.

Nco ntsoov: peb tshuaj xyuas lub ntsiab txhais ntawm ib tug tsis tu ncua polygon, nws cov yam ntxwv, lub ntsiab ntsiab thiab hom nyob rau hauv.

Tsis tu ncua polygon zog

Khoom Muaj Khoom 1

Sab hauv cov ces kaum nyob rau hauv ib tug tsis tu ncua polygon (α) yog sib npaug rau ib leeg thiab tuaj yeem xam los ntawm cov mis:

qhov twg n yog tus naj npawb ntawm sab ntawm daim duab.

Khoom Muaj Khoom 2

Cov txiaj ntsig ntawm tag nrho cov ces kaum ntawm ib txwm n-gon yog: 180 ° · (n-2).

Khoom Muaj Khoom 3

tus naj npawb ntawm kab pheeb ces kaum (D_n) ib txwm n-gon nyob ntawm tus naj npawb ntawm nws sab (n) thiab txhais raws li nram no:

Khoom Muaj Khoom 4

Nyob rau hauv txhua lub polygon tsis tu ncua, koj tuaj yeem sau lub voj voog thiab piav qhia lub voj voog nyob ib puag ncig nws, thiab lawv cov chaw yuav sib koom, nrog rau qhov nruab nrab ntawm lub polygon nws tus kheej.

Ua piv txwv, daim duab hauv qab no qhia tau hais tias ib txwm hexagon (hexagon) nyob nruab nrab ntawm qhov taw tes O.

Cheeb Tsam (S) tsim los ntawm lub voj voog ntawm lub nplhaib yog xam los ntawm qhov ntev ntawm sab (a) cov duab raws li tus qauv:

Nruab nrab ntawm lub radii ntawm inscribed (r) thiab piav (R) lub voj voog muaj kev vam meej:

Khoom Muaj Khoom 5

Paub qhov ntev ntawm sab (a) tsis tu ncua polygon, koj tuaj yeem xam cov khoom nram qab no ntsig txog nws:

1. Thaj chaw (S):

2. Ib puag ncig (P):

3. Radius ntawm lub voj voog ncig (R):

4. Radius ntawm lub voj voog inscribed (r):

Khoom Muaj Khoom 6

Cheeb Tsam (S) ib tug tsis tu ncua polygon yuav qhia tau hais tias nyob rau hauv cov nqe lus ntawm lub vojvoog ntawm lub circumscribed / inscribed lub voj voog: