Cov txheej txheem:
Video: Puas yog daim duab peb sab congruent muaj tib lub perimeter?
2024 Tus sau: Miles Stephen | [email protected]. Kawg hloov kho: 2023-12-15 23:36
Yog ob daim duab peb sab yog kev sib haum xeeb , ces txhua feem ntawm cov daim duab peb sab (sab los yog kaum) yog kev sib haum xeeb mus rau qhov sib thooj nyob rau hauv lwm yam daim duab peb sab . Ntxiv nrog rau sab thiab cov ces kaum, tag nrho lwm yam khoom ntawm lub daim duab peb sab yog cov ib yam kuj, xws li cheeb tsam, ib puag ncig , qhov chaw ntawm cov chaw, lub voj voog thiab lwm yam.
Nyob rau hauv no hais txog, puas congruent triangles muaj tib cheeb tsam?
Yog ob triangles yog congruent , ces lawv yuav muaj tus tib cheeb tsam thiab perimeter. Yog ob daim duab peb sab yog zoo sib xws nyob rau hauv ratio R R R, ces qhov ratio ntawm lawv perimeter yuav R R R R thiab qhov ratio ntawm lawv cheeb tsam yuav yog R2 R^2 R2.
Kuj Paub, ua li cas koj thiaj paub tias daim duab peb sab yog congruent? Ob daim duab peb sab yog concru yog lawv muaj: raws nraim tib yam peb sab thiab. raws nraim tib lub kaum sab xis.
Muaj tsib txoj hauv kev los nrhiav yog tias ob daim duab peb sab sib dhos: SSS, SAS, ASA, AAS thiab HL.
- SSS (sab, sab, sab)
- SAS (sab, kaum sab xis, sab)
- ASA (lub kaum sab xis, sab, kaum sab xis)
- AAS (lub kaum sab xis, sab, sab)
- HL (hypotenuse, ceg)
Ua raws li qhov no hauv kev txiav txim siab, cov duab sib koom ua ke puas muaj tib qhov ib puag ncig?
Cov duab sib dhos muaj tib yam loj ces kaum, sab lengths, cheeb tsam, thiab ib puag ncig . Zoo sib xws cov duab muaj muaj feem cuam tshuam. Lawv cov ces kaum yog cov ib yam , thiab sab lengths qhia cov ib yam proportions.
Cov duab peb sab twg yuav tsum sib haum?
Triangles yog congruent yog tias:
- SSS (sab sab sab) Tag nrho peb sab sib raug zoo sib npaug ntawm qhov ntev.
- SAS (sab lub kaum sab xis) Ib khub ntawm sab sib raug thiab lub kaum sab xis suav sib npaug.
- ASA (lub kaum sab xis)
- AAS (lub kaum sab xis sab)
- HL (hypotenuse ceg ntawm txoj cai daim duab peb sab)
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
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
Puas yog daim duab peb sab isosceles muaj ob lub kaum sab xis?
Thaum ib daim duab peb sab muaj ob sab congruent nws hu ua daim duab peb sab isosceles. Lub kaum sab xis ntawm ob sab ntawm tib qhov ntev yog congruent. Ib daim duab peb sab uas tsis muaj ib sab lossis cov kaum sab xis yog hu ua daim duab peb sab scalene