Hom ntawm cov vajvoos peb sab, lub ces kaum thiab sab

Tej zaum qhov yooj yim tshaj plaws, yooj yim thiab nthuav daim duab nyob rau hauv geometry yog ib tug daim duab peb sab. Nyob rau hauv lub chav kawm ntawm high school kawm cov ntsiab zog, tab sis tej zaum kuj paub txog qhov kev kawm tsim tsis tag. Hom ntawm cov vajvoos peb sab chiv txiav txim lawv lub zog. Tab sis xws li ib tug saib tseem mixed. Yog li ntawd tam sim no peb tsom xam ntau me ntsis txog nws.

Hom ntawm cov vajvoos peb sab nyob ntawm seb cov neeg kawm ntawv ntawm cov ces kaum kev ntsuas. Cov nuj nqis yog ostro-, straight- thiab obtuse. Yog hais tias tag nrho cov ces kaum tsis pub tshaj tus nqi ntawm 90 degrees, daim duab yuav tsum xyuam xim hu ua mob. Yog hais tias tsawg kawg yog ib lub ces kaum ntawm lub daim duab peb sab yog 90 degrees, ces koj yuav soj ntsuam nrog ib lub subspecies. Raws li, nyob rau hauv tag nrho cov lwm yam mob nyob rau hauv kev saib xyuas ib tug duab zoo hu ua obtuse.

Muaj ntau ntau cov teeb meem rau lub mob-angled subspecies. Lub qhov txawv feature yog qhov chaw ntawm lub sab hauv cov ntsiab lus ntawm kev tshuam ntawm bisectors, medians thiab heights. Nyob rau hauv lwm yam mob, tus mob no yuav ua tsis tau txaus siab. Txiav txim seb lub hom "daim duab peb sab" daim duab yog tsis yooj yim. Nws yog txaus rau paub, piv txwv li, lub cosine ntawm txhua lub kaum sab xis. Yog hais tias tej nqi yog tsawg tshaj li xoom, ces daim duab peb sab nyob rau hauv cov ntaub ntawv yog, yog obtuse. Nyob rau hauv cov ntaub ntawv ntawm ib tug pes tsawg taw qhia daim duab muaj ib txoj cai kaum sab xis. Tag nrho cov zoo qhov tseem ceeb yog guaranteed kom tshoov koj hais tias ua ntej koj muaj ib tug mob-angled saib.

Peb tsis tau hais txog txoj cai daim duab peb sab. Nws yog ib lub zoo meej tshaj plaws daim ntawv no, qhov twg tag nrho cov tib tshuam taw tes ntawm lub medians, bisectors thiab altitudes. Qhov chaw ntawm lub inscribed vajvoog thiab tseem piav nyob rau hauv tib lub qhov chaw. Yuav kom daws tau cov teeb meem uas koj yuav tsum paub tsuas yog ib sab, raws li koj chiv teem kaum ntse ntse, thiab lwm yam ob tog paub. Qhov ntawd yog qhov daim duab uas muab los ntawm tsuas yog ib parameter. Muaj ceskaum cov vajvoos peb sab. Lawv lub ntsiab feature - tus koob pheej ntawm lawv ntawm ob sab thiab cov ces kaum ntawm lub hauv paus.

Tej zaum kuj muaj yog ib lo lus nug txog seb puas muaj ib tug daim duab peb sab nrog muab sab. Nyob rau hauv qhov tseeb, koj yuav hais tias qhov kev qhia txog fits theem pib hom. Piv txwv li, yog hais tias tus sum ntawm ob sab yog tsawg tshaj li ib feem peb, nyob rau hauv kev muaj tiag, xws li ib tug duab tsis muaj nyob rau tag nrho cov. Yog hais tias txoj hauj lwm yog hais kom mus nrhiav lub cosines ntawm cov ces kaum ntawm ib tug peb tog nrog sab 3,5,9, muaj ib tug cuab ua kom yuam kev. Qhov no yuav tau piav tsis complex zauv hom kev kawm. Puas xav koj xav tau los ntawm point A taw tes B. Qhov kev ncua deb nyob rau hauv ib tug ncaj kab yog 9 kilometers. Txawm li cas los, koj nco qab hais tias koj yuav tsum mus rau taw tes C mus rau lub khw. Qhov kev ncua deb ntawm A mus C yog sib npaug zos rau peb kilometers, thiab los ntawm C rau B - 5. Yog li yog tau hais tias, tsiv los rau ntawm lub khw, koj yuav dhau tsawg tshaj li ib kilometer. Tab sis txij thaum lub point C yog tsis nyob rau hauv lub txoj kab ncaj nraim AB, ces koj yuav tsum mus ntxiv deb. Ntawm no yog ib tug contradiction. Qhov no, ntawm chav kawm, cov pa piav. Math tsis paub ib tug txoj kev los ua pov thawj hais tias tag nrho cov hom ntawm cov vajvoos peb sab yog raug mus rau lub yooj yim yog leejtwg tiag. Nws hais tias lub sum ntawm ob sab ntau tshaj qhov peb ntev.

Txhua yam muaj raws li nram no cov khoom:

1) Lub sum ntawm cov ces kaum sib npaug 180 degrees.

2) Yog ib lub orthocenter - lub taw tes rau ntawm kev tshuam ntawm peb cov altitudes.

3) Tag nrho peb ntawm theem nrab los ntawm cov kab los sib ntsib ntawm lub sab hauv ces kaum tshuam nyob rau hauv ib qho chaw.

4) nyob ib ncig ntawm tej daim duab peb sab yuav piav raws li ib lub voj voog. Koj yuav tau nkag mus rau hauv lub voj voog kom nws muaj xwb peb cov ntsiab lus ntawm kev sib cuag thiab tsis tawm nraum zoov.

Koj muaj tam sim no muaj cuab kav nrog yooj yim zog, uas muaj ntau hom ntawm cov vajvoos peb sab. Nyob rau hauv lub neej yav tom ntej, nws yog ib qho tseem ceeb kom nkag siab txog dab tsi koj yuav soj ntsuam nrog cov tshuaj ntawm qhov teeb meem.