Hom duab peb sab, kaum thiab sab

Hom duab peb sab, kaum thiab sab
Hom duab peb sab, kaum thiab sab
Anonim

Kab tias qhov yooj yim tshaj plaws, yooj yim thiab nthuav daim duab hauv geometry yog daim duab peb sab. Hauv chav kawm theem nrab, nws cov yam ntxwv tseem ceeb tau kawm, tab sis qee zaum kev paub txog cov ncauj lus no tau tsim tsis tiav. Cov hom ntawm daim duab peb sab pib txiav txim siab lawv cov khoom. Tab sis qhov kev pom no tseem sib xyaw. Yog li ntawd, tam sim no peb yuav txheeb xyuas lub ntsiab lus no me ntsis ntxiv.

Hom duab peb sab
Hom duab peb sab

Hom ntawm daim duab peb sab nyob ntawm qhov ntsuas qhov ntsuas ntawm kaum. Cov duab no yog mob, duab plaub thiab obtuse. Yog tias txhua lub kaum sab xis tsis tshaj 90 degrees, ces daim duab tuaj yeem raug hu ua mob-angled. Yog hais tias tsawg kawg yog ib lub kaum sab xis ntawm daim duab peb sab yog 90 degrees, ces koj tab tom soj ntsuam nrog ib tug duab plaub subspecies. Raws li, nyob rau hauv tag nrho lwm yam, lub xam geometric daim duab yog hu ua obtuse-angled.

Muaj ntau txoj haujlwm rau cov kab mob hnyav. Ib qho tshwj xeeb yog qhov chaw sab hauv ntawm cov ntsiab lus sib tshuam ntawm cov bisectors, nruab nrab thiab qhov siab. Hauv lwm qhov xwm txheej, tus mob no yuav tsis ua raws li. Kev txiav txim siab hom duab "daim duab peb sab" tsis yog qhov nyuaj. Nws yog txaus kom paub, piv txwv li, lub cosine ntawm txhua lub kaum sab xis. Yog tias ib qho txiaj ntsig tsawg dua li xoom, ces daim duab peb sab yog obtuse nyob rau hauv txhua rooj plaub. Nyob rau hauv cov ntaub ntawv ntawm ib tug xoom exponent, daim duab muajsab xis. Tag nrho cov txiaj ntsig zoo tau lees paub los qhia rau koj tias koj muaj lub ntsej muag zoo nkauj.

lub kaum sab xis
lub kaum sab xis

Ib tug tsis tuaj yeem tab sis hais txog daim duab peb sab yog. Qhov no yog qhov zoo tshaj plaws saib, qhov twg tag nrho cov kev sib tshuam cov ntsiab lus ntawm nruab nrab, bisectors thiab heights coincide. Qhov nruab nrab ntawm lub voj voog inscribed thiab circumscribed kuj nyob rau tib qhov chaw. Txhawm rau daws cov teeb meem, koj yuav tsum paub tsuas yog ib sab, txij li cov ces kaum tau pib tsim rau koj, thiab ob sab paub txog. Ntawd yog, daim duab tsuas yog muab los ntawm ib qho parameter xwb. Muaj cov duab peb sab isosceles. Lawv lub ntsiab feature yog qhov sib npaug ntawm ob sab thiab cov ces kaum ntawm lub hauv paus.

Qee zaum muaj lus nug txog seb puas muaj daim duab peb sab nrog rau sab. Qhov koj tab tom nug tiag tiag yog qhov kev piav qhia no haum rau hom tsiaj loj. Piv txwv li, yog tias qhov sib npaug ntawm ob sab tsawg dua qhov thib peb, qhov tseeb, cov duab no tsis muaj nyob hauv txhua qhov. Yog tias txoj haujlwm nug koj kom pom cov cosines ntawm lub kaum sab xis ntawm daim duab peb sab nrog sab 3, 5, 9, ces muaj qhov pom tseeb. Qhov no tuaj yeem piav qhia yam tsis muaj kev ua lej nyuaj. Piv txwv tias koj xav tau los ntawm point A mus rau point B. Qhov kev ncua deb ntawm txoj kab ncaj nraim yog 9 mais. Txawm li cas los xij, koj nco ntsoov tias koj yuav tsum mus rau point C hauv khw. Qhov kev ncua deb ntawm A mus rau C yog 3 kilometers, thiab los ntawm C mus rau B - 5. Yog li, nws hloov tawm hais tias thaum tsiv los ntawm lub khw, koj yuav taug kev ib kilometers tsawg. Tab sis txij li point C tsis nyob ntawm kab AB, koj yuav tau mus rau qhov kev ncua deb ntxiv. Ntawm no muaj kev tsis sib haum xeeb tshwm sim. Qhov no yog, ntawm chav kawm, ib qho kev piav qhia hypothetical. Kev kawm lej paub ntau dua ib txoj hauv kev los ua pov thawj qhov ntawdtxhua yam ntawm daim duab peb sab ua raws li lub hauv paus ntawm tus kheej. Nws hais tias tus lej ntawm ob sab yog ntau dua qhov ntev ntawm peb.

daim duab peb sab lub cev hom
daim duab peb sab lub cev hom

Txhua hom muaj cov khoom nram qab no:

1) Cov sum ntawm tag nrho cov ces kaum sib npaug 180 degrees.

2) Ib txwm muaj qhov chaw orthocenter - qhov taw qhia ntawm kev sib tshuam ntawm peb qhov siab.

3) Tag nrho peb qhov nruab nrab tau kos los ntawm qhov chaw ntawm sab hauv cov ces kaum sib tshuam ntawm tib qhov chaw.

4) Ib lub voj voog tuaj yeem ncig ib ncig ntawm txhua daim duab peb sab. Koj tseem tuaj yeem sau ib lub voj voog kom nws tsuas muaj peb lub ntsiab lus ntawm kev sib cuag thiab tsis txhob txuas mus rau sab nraud.

Tam sim no koj paub txog cov khoom tseem ceeb uas sib txawv ntawm daim duab peb sab muaj. Yav tom ntej, nws yog ib qho tseem ceeb kom nkag siab tias koj tab tom ua dab tsi thaum daws teeb meem.

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