Dab tsi yog lub kaum sab xis sum khoom ntawm ib lub quadrilateral?
Dab tsi yog lub kaum sab xis sum khoom ntawm ib lub quadrilateral?

Video: Dab tsi yog lub kaum sab xis sum khoom ntawm ib lub quadrilateral?

Video: Dab tsi yog lub kaum sab xis sum khoom ntawm ib lub quadrilateral?
Video: ib sim cas tsis tsim nyog tsom xyooj 2022 2024, Hlis ntuj nqeg
Anonim

Raws li cov lub kaum sab xis sum khoom ntawm lub Quadrilateral , cov sum ntawm tag nrho plaub sab hauv lub kaum sab xis yog 360 degrees.

Xav txog qhov no, lub kaum sab xis sum yog dab tsi?

Cov angle sum khoom ntawm ib daim duab peb sab hais tias lub lub kaum sab xis ntawm ib daim duab peb sab ib txwm ntxiv txog 180 °. Txhua daim duab peb sab muaj peb lub kaum sab xis thiab seb nws yog ib qho mob, obtuse, lossis txoj cai daim duab peb sab, lub angles sum rau 180 °. Qhov theorem no muaj txiaj ntsig zoo rau kev nrhiav qhov ntsuas ntawm qhov tsis paub lub kaum sab xis thaum koj paub ob leeg.

Yuav ua li cas koj nrhiav tau lub kaum sab xis sum ntawm ib tug vaj tse? Rau nrhiav tus sum ntawm sab hauv lub kaum sab xis nyob rau hauv ib tug polygon faib lub polygon rau hauv daim duab peb sab. Cov sum ntawm sab hauv lub kaum sab xis hauv daim duab peb sab yog 180 °. Rau nrhiav tus sum ntawm sab hauv lub kaum sab xis ntawm ib tug polygon, muab tus naj npawb ntawm daim duab peb sab nyob rau hauv lub polygon los ntawm 180 °.

Nyob rau hauv kev hwm rau qhov no, dab tsi yog qhov sum ntawm cov ces kaum nyob rau hauv quadrilateral?

Kev piav qhia: Peb tau pom nyob rau hauv daim duab peb sab Sum Conjecture tias cov sum ntawm cov ces kaum nyob rau hauv ib daim duab peb sab yog 180 qib . Lub Quadrilateral Sum Conjecture qhia peb cov sum ntawm cov ces kaum nyob rau hauv tej convex quadrilateral yog 360 qib . Nco ntsoov tias a polygon yog convex yog tias txhua qhov ntawm nws cov kaum sab hauv yog tsawg dua 180 degree.

Yuav ua li cas yog lub sum ntawm tag nrho cov kaum ntawm ib square?

Txhua sab yog tib qhov ntev (congruent) thiab tag nrho cov kaum sab hauv yog qhov loj tib yam (congruent). Txhawm rau nrhiav qhov ntsuas ntawm cov kaum sab hauv, peb paub tias cov lej ntawm tag nrho cov ces kaum yog 360 qib (los ntawm saum toj no) Thiab muaj plaub lub ces kaum, qhov ntsuas ntawm sab hauv lub kaum sab xis yog 90 qib.

Pom zoo: