Video: Vim li cas Orthocenter ntawm daim duab peb sab tseem ceeb?
2024 Tus sau: Miles Stephen | [email protected]. Kawg hloov kho: 2023-12-15 23:36
Cov orthocenter , yog qhov coincidence ntawm altitudes. Peb mob siab rau lub orthocenter vim nws yog ib tseem ceeb central point ntawm a daim duab peb sab . Txoj kab txiav txim siab los ntawm ob qho ntawm cov ntsiab lus no yog perpendicular rau kab txiav txim los ntawm ob lub ntsiab lus.
Cia li xav txog qhov no, lub hom phiaj ntawm Orthocenter ntawm daim duab peb sab yog dab tsi?
Cov orthocenter yog lub ntsiab lus ntawm concurrency ntawm peb qhov siab ntawm a daim duab peb sab . Txij li thaum a daim duab peb sab muaj peb vertices, nws kuj muaj peb altitudes. Ib qhov siab yog txhais tau tias yog ib qho perpendicular ntu kos los ntawm vertex ntawm a daim duab peb sab mus rau kab uas muaj qhov opposite sab.
Koj ua pov thawj li cas Orthocenter ntawm daim duab peb sab? Nrhiav qhov sib npaug ntawm ob kab ntu uas ua rau sab ntawm lub daim duab peb sab . Nrhiav qhov chaw siab tshaj ntawm ob sab. Siv cov nqes hav thiab qhov opposite vertices kom pom qhov sib npaug ntawm ob qhov siab. daws qhov sib thooj x thiab y qhov tseem ceeb, muab koj cov kev tswj hwm ntawm qhov orthocenter.
Ib sab saum toj, dab tsi tshwj xeeb ntawm Orthocenter?
Cov orthocenter ntawm daim duab peb sab yog qhov kev sib tshuam ntawm daim duab peb sab peb qhov siab. Nws muaj ob peb yam tseem ceeb thiab kev sib raug zoo nrog rau lwm qhov ntawm daim duab peb sab, nrog rau nws qhov chaw ncig, qhov chaw, thaj chaw, thiab lwm yam.
Vim li cas nws thiaj li hais tias lub Orthocenter ntawm daim duab peb sab obtuse yuav tsum nyob rau sab nraud ntawm daim duab peb sab?
Nws hloov tawm tias tag nrho peb qhov siab ib txwm sib tshuam ntawm tib lub ntsiab lus - lub npe hu ua orthocenter ntawm daim duab peb sab . Cov orthocenter tsis yog ib txwm nyob hauv daim duab peb sab . Yog tias daim duab peb sab yog obtuse , nws yuav sab nraum . Ua kom qhov no tshwm sim cov kab qhov siab yuav tsum raug ncua kom lawv hla.
Pom zoo:
Dab tsi yog equidistant los ntawm peb sab ntawm daim duab peb sab?
Lub ntsiab lus uas sib npaug rau txhua sab ntawm daim duab peb sab yog hu ua incenter: Ib qho nruab nrab yog ib qho kab uas muaj ib qho ntawm nws qhov kawg ntawm lub vertex ntawm daim duab peb sab thiab lwm qhov kawg ntawm qhov nruab nrab ntawm sab opposite lub vertex. Peb qhov nruab nrab ntawm ib daim duab peb sab sib ntsib hauv centroid
Koj tuaj yeem ua pov thawj li cas 2 daim duab peb sab zoo sib xws siv lub kaum sab xis sab SAS zoo sib xws postulate?
SAS Similarity Theorem hais tias yog ob sab hauv ib daim duab peb sab yog proportional rau ob sab hauv lwm daim duab peb sab thiab lub kaum sab xis nyob rau hauv ob qho tib si congruent, ces ob daim duab peb sab zoo ib yam. Ib qho kev hloov pauv zoo sib xws yog ib lossis ntau qhov kev hloov pauv tsis tu ncua ua raws li kev dilation
Koj ua pov thawj li cas ntawm cov ces kaum sab nrauv ntawm daim duab peb sab yog 360?
Lub kaum sab nrauv ntawm daim duab peb sab yog sib npaug rau qhov sib npaug ntawm cov kaum sab hauv sab nraud. Yog xav paub ntxiv txog qhov no saib Daim duab peb sab sab nraud lub kaum sab xis theorem. Yog tias lub kaum sib npaug raug coj los ntawm txhua qhov vertex, cov ces kaum sab nrauv ib txwm ntxiv rau 360 ° Qhov tseeb, qhov no muaj tseeb rau txhua qhov convex polygon, tsis yog daim duab peb sab
Vim li cas nws thiaj li hais tias lub Orthocenter ntawm daim duab peb sab obtuse yuav tsum nyob rau sab nraud ntawm daim duab peb sab?
Nws hloov tawm tias tag nrho peb qhov siab ib txwm sib tshuam ntawm tib lub ntsiab lus - lub npe hu ua orthocenter ntawm daim duab peb sab. Lub orthocenter tsis yog ib txwm nyob hauv daim duab peb sab. Yog tias daim duab peb sab yog obtuse, nws yuav nyob sab nraud. Txhawm rau ua kom qhov no tshwm sim cov kab qhov siab yuav tsum tau txuas ntxiv kom lawv hla
Dab tsi yog kev sib raug zoo ntawm sab nrauv thiab sab hauv lub kaum sab xis ntawm daim duab peb sab?
Cov kaum sab hauv yog hu ua Sab hauv cov ces kaum. Cov lej ntawm cov kaum sab hauv ntawm daim duab peb sab yog ib txwm 180 degrees. Lub kaum sab nrauv yog lub kaum sab xis ntawm ib sab ntawm ib qho duab, thiab ib txoj kab txuas ntxiv los ntawm sab tom ntej. Qhov sib npaug ntawm lub kaum sab nrauv thiab nws lub kaum sab hauv uas nyob ib sab kuj yog 180 degrees