Video: Qhov twg yog qhov perpendicular bisectors ntawm daim duab peb sab sib tshuam?
2024 Tus sau: Miles Stephen | [email protected]. Kawg hloov kho: 2023-12-15 23:36
Cov perpendicular bisectors ntawm ob sab ntawm a daim duab peb sab sib tshuam ntawm ib qho chaw hu ua circumcenter ntawm lub daim duab peb sab , uas yog equidistant los ntawm vertices ntawm lub daim duab peb sab.
Ib yam li ntawd, peb qhov perpendicular bisectors ntawm daim duab peb sab sib tshuam qhov twg?
Cov peb perpendicular bisectors ntawm ob sab ntawm a daim duab peb sab ntsib nyob rau hauv ib lub ntsiab lus, hu ua circumcenter. Ib qho chaw nyob qhov twg peb los yog ntau kab sib tshuam hu ua point of concurrency. Yog li ntawd, lub circumcenter yog lub ntsiab lus ntawm concurrency perpendicular bisectors ntawm daim duab peb sab.
Ib tug kuj yuav nug, dab tsi yog Incenter formula? Thaum lub inradius paub, txhua sab ntawm daim duab peb sab tuaj yeem txhais los ntawm qhov ntev ntawm qhov inradius, thiab qhov kev sib tshuam ntawm peb kab yuav yog nruab nrab . Qhov no, dua, tuaj yeem ua tiav nrog kev sib koom ua ke geometry. (a x 1 + b x 2 + c x 3 a + b + c, a y 1 + b y 2 + c y 3 a + b + c).
Tom qab ntawd, qhov twg yog qhov perpendicular bisectors ntawm txoj cai daim duab peb sab sib tshuam?
Kev piav qhia: Lub ntsiab lus ntawm txhua qhov perpendiculars ntawm lub daim duab peb sab sib tshuam ib leeg yog lub npe hu ua circumcenter ntawm lub daim duab peb sab . Cov perpendicular bisectors ntawm ob sab a txoj cai daim duab peb sab sib tshuam ntawm daim duab peb sab.
Dab tsi yog qhov txawv ntawm perpendicular thiab perpendicular bisector?
Perpendicular txhais tau tias ib kab ua ib qho lub kaum sab xis 90 ° nrog nws kab rov tav lossis ntsug. Thiab a perpendicular bisector yog kab uas dag nruab nrab cov kab no thiab ua ib qho lub kaum sab xis ntawm 45 ° nrog ob kab.
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
Qhov kev hloov pauv twg yog qhov sib npaug ntawm daim duab peb sab mus rau nws tus kheej?
Nqa lub equilateral daim duab peb sab mus rau nws tus kheej. Yog li, cov no yog cov kev xaiv teb cov lus teb kom raug: kev sib hloov ntawm 120 ° counterclockwise. tig 120 ° clockwise
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
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