Yuav ua li cas yog daim duab peb sab. Yuav ua li cas lawv yog

Qhov tseeb hais tias xws li ib tug daim duab peb sab, square, thawv muaj rau sab, science qhia rau peb geometry. Nyob rau hauv hnub no lub ntiaj teb no nws yog qhia nyob rau hauv cov tsev kawm ntawv tsis muaj kev zam. Raws li ib tug science uas kawm ncaj qha hais tias xws li ib tug daim duab peb sab thiab dab tsi cov nws cuab yeej yog trigonometry. Nws examines nyob rau hauv kom meej tag nrho cov phenomena txuam nrog cov geometric duab. Qhov tseeb hais tias xws li ib tug daim duab peb sab, peb mam li tham hnub no nyob rau hauv peb tsab xov xwm. Cov nram qab no yuav piav qhia txog lawv cov hom, raws li zoo li ib co theorems kev cob cog rua nrog lawv.

Yuav ua li cas yog ib tug daim duab peb sab? txhais

Nws yog ib tug ca polygon. Nws muaj peb cov ces kaum, nws yog tseeb los ntawm nws lub npe. Tsis tas li ntawd nws muaj peb sab thiab peb vertices, thawj ntawm lawv - nws stretches, lub thib ob - tus taw tes. Paub uas ob ces kaum yog muaj sib npaug, peb yuav tsum nrhiav tau los ntawm subtracting lub sum ntawm thawj ob lub ntawm tus xov tooj 180.

Yuav ua li cas yog cov vajvoos peb sab?

Lawv yuav tsum tau txwv kom muab zais raws li ntau yam qauv.

Ua ntej ntawm tag nrho cov, lawv muab faib rau ntse-angled, obtuse thiab lub. Cov yav tas los muaj ntse ces kaum, uas yog, cov neeg uas muaj tsawg tshaj li 90 degrees. Nyob rau hauv ib yam ntawm cov obtuse fab - obtuse, i.e. ib tug uas yog ntau tshaj li 90 degrees, qhov ob - mob. Rau ib tug mob daim duab peb sab tseem equilateral. Tej cov vajvoos peb sab tag nrho cov sab thiab cov ces kaum muaj sib npaug. Tag nrho cov ntawm lawv yog cov sib npaug zos rau 60 degrees, nws yuav muab tau yooj yim xam los mus faib cov sum ntawm tag nrho cov ces kaum (180) los ntawm peb.

txoj cai daim duab peb sab

Nws yog tsis yooj yim sua tsis tham txog dab tsi yog txoj cai-angled daim duab peb sab.

Nyob rau hauv xws li ib tug duab lub kaum sab xis yog 90 degrees (ncaj), ces muaj ob tug ntawm nws cov sab txheej txheem perpendicularly. Qhov seem ob fab yog ntse. Tej zaum lawv yuav sib npaug zos, ces nws yog ib qho ceskaum daim duab peb sab. Nrog angled daim duab peb sab kev cob cog rua lub Pythagorean theorem. Nrog kev pab los ntawm nws koj yuav nrhiav tau ib tug thib peb tog, paub txog cov thawj ob tug. Raws li qhov no theorem, yog hais tias peb ntxiv square ntawm ib ceg mus rau lwm yam square, koj yuav tau txais ib tug square ntawm lub hypotenuse. Lub square ceg yuav xam los ntawm subtracting lub square ntawm lub hypotenuse yog lub square ntawm tus naas ej txhais ceg. Sib nrug los ntawm qhov tseeb hais tias xws li ib tug daim duab peb sab, koj yuav nco ntsoov txog lub ceskaum. Nws yog zoo li nyob rau hauv uas ob ntawm lub sab tseem sib npaug thiab cov ob ces kaum.

Yuav ua li cas yog ib tug ceg thiab hypotenuse?

Cathetus - yog ib tug ntawm daim duab peb sab sab, uas tsim ib qho kaum sab xis ntawm 90 degrees. Hypotenuse - yog cov seem sab uas yog opposite txoj cai kaum sab xis. Los ntawm nws txhais ceg, koj yuav poob ib tug perpendicular. Qhov ratio ntawm cov uas nyob ib sab ceg mus rau lub hypotenuse raug xa mus rau raws li cosine, thiab cov lus rov - sine.

Iyiv daim duab peb sab - dab tsi yog nws tus yam ntxwv?

Nws yog txoj cai. Nws ob txhais ceg yog sib npaug zos rau peb thiab plaub, thiab lub hypotenuse - tsib. Yog hais tias koj pom tau tias ob txhais ceg ntawm lub duab peb sab yog muaj sib npaug rau peb los yog plaub, koj yuav tau nco ntsoov hais tias tus hypotenuse yog sib npaug zos rau tsib. Tsis tas li ntawd, raws li txoj ntsiab cai no muaj peev xwm muab tau yooj yim txiav txim hais tias tus ceg yuav ua tau peb yog tus thib ob yog sib npaug zos rau plaub, thiab lub hypotenuse - tsib. Los ua pov thawj no daim ntawv qhia, peb yuav siv cov Pythagorean theorem. Yog hais tias ob cathetus yog 3 thiab 4, ces 9 + 16 = 25, lub hauv paus 25 - yog 5, i.e. hypotenuse sib npaug 5. Tsis tas li ntawd Iyiv hu ua lub duab peb sab uas nws sab yog muaj sib npaug rau 6, 8 thiab 10; 9, 12 thiab 15, thiab lwm yam xov tooj nrog tus piv 3: 4: 5.

Yuav ua li cas yuav tseem yuav muaj ib tug daim duab peb sab?

Tsis tas li ntawd cov vajvoos peb sab yuav inscribed thiab piav. Daim duab nyob ib ncig ntawm uas qhia txog ib lub voj voog inscribed hu ua, tag nrho nws cov vertices yog cov ntsiab lus dag rau ib lub voj voog. Daim duab peb sab - ib tug nyob rau hauv uas lub inscribed voj voog. Nws sab tuaj mus rau hauv kev sib cuag nrog nws nyob rau cov ntsiab lus.

Yuav ua li cas yog lub cheeb tsam ntawm daim duab peb sab?

Lub cheeb tsam ntawm yam zoo yog ntsuas nyob rau hauv square units (sq. Meters, sq. Millimeters, sq. Centimeters sq. Decimeters thiab t. D.) Qhov no tus nqi yuav xam nyob rau hauv ntau txoj kev, nyob ntawm seb lub hom daim duab peb sab. Cheeb Tsam txawm zoo nrog fab yuav pom los ntawm txawj nws sab nyob rau hauv lub perpendicular rau nws los ntawm qhov opposite lub, thiab faib no daim duab los ntawm ob tug. Koj tseem yuav nrhiav tau cov nqi no los ntawm txawj ob sab. Ces muab tus naj npawb ntawd los ntawm cov sine ntawm lub kaum sab xis nyob nruab nrab ntawm ob tog, thiab faib nws tau txais ob. Paub tag nrho cov sab ntawm daim duab peb sab, tab sis tsis paub txog nws cov ces kaum, koj yuav nrhiav tau lwm qhov chaw nyob rau hauv lwm txoj kev. Ua li no, koj yuav tsum nrhiav ib nrab ntawm cov perimeter. Ces tig mus rau noj tam sim ntawd los ntawm no tus xov tooj ntawm txawv cov lus qhia, thiab mus muab lub plaub qhov tseem ceeb tau. Tom ntej no, nrhiav cov square hauv paus ntawm tus xov tooj hais tias tuaj tawm. Cheeb Tsam inscribed daim duab peb sab yuav pom los ntawm txawj tag nrho cov sab, thiab faib rau tus xov tooj ntawm lub voos kheej-kheej ntawm lub vajvoog piav nyob ib ncig ntawm nws, multiplied by plaub.

Lub cheeb tsam ntawm daim duab peb sab yog piav raws li nram no: ib nrab ntawm cov puag ncig khoo los ntawm lub voos kheej-kheej ntawm lub vajvoog uas yog inscribed nyob rau ntawd. Yog hais tias ib tug daim duab peb sab yog equilateral, nws cheeb tsam yuav tsum pom raws li nram no: sab squaring, txawj lub resulting daim duab los ntawm lub square hauv paus ntawm peb, ces faib tus naj npawb ntawd los ntawm plaub. Ib yam li ntawd, koj yuav xam lub qhov siab ntawm daim duab peb sab, nyob rau hauv uas tag nrho cov sab yog muaj sib npaug, rau cov uas ib tug ntawm lawv yuav tsum tau khoo los ntawm cov square hauv paus ntawm peb, thiab ces faib tus xov tooj los ntawm ob tug.

Theorems muaj feem xyuam rau daim duab peb sab

Cov yooj yim theorems uas muaj feem rau qhov no daim duab yog cov Pythagorean theorem raws li tau piav saum toj no, lub theorem ntawm sines thiab cosines. Qhov thib ob (sine) yog hais tias yog tej sab muab faib los ntawm cov sine ntawm lub kaum sab xis opposite rau nws, nws tseem tau mus txais lub voos kheej-kheej ntawm lub vajvoog piav nyob ib ncig ntawm nws, multiplied by ob tug. Qhov thib peb (cosine) yog hais tias, yog hais tias tus sum ntawm cov plaub fab ntawm lub ob sab coj lawv raws li cov khoom ntawm ob lub sij hawm lub cosine ntawm lub kaum sab xis thiab nyob nruab nrab ntawm ob tug, koj tau txais ib feem peb sab ntawm cov square.

Dali daim duab peb sab - yog dab tsi?

Muaj coob tus neeg, thaum ntsib nrog cov tswvyim no, thaum xub thawj xav tias nws yog ib co zoo ntawm txhais nyob rau hauv geometry, tab sis nws tsis yog li ntawd. Dali daim duab peb sab - yog ib lub npe ntawm peb qhov chaw uas zoo kev cob cog rua lub neej ntawm tus naas ej artist. "Top" nws yog ib lub tsev qhov twg Salvador Dali nyob rau hauv lub tsev fuabtais, uas nws tau muab rau nws tus poj niam, raws li zoo raws li lub tsev cia puav pheej ntawm surrealist paintings. Thaum lub sij hawm ib ncig ntawm cov chaw uas koj yuav kawm tau ntau yam nthuav lus tseeb hais txog qhov no zoo ntawm muaj tswv yim artist, nto moo nyob ib ncig ntawm lub ntiaj teb no.