Cov txheej txheem:
- Dab tsi yog thaj tsam ntawm square ntawm lub hypotenuse ntawm txoj cai daim duab peb sab?
- Dab tsi yog square ntawm daim duab peb sab hypotenuse?
- Nyob rau hauv daim duab peb sab lub square ntawm lub hypotenuse yog sib npaug rau cov lej ntawm cov square ntawm ob sab?
- Lub square ntawm daim duab peb sab yog hu ua dab tsi?
Video: Nyob rau hauv daim duab peb sab txoj cai lub square ntawm hypotenuse?
2024 Tus sau: Fiona Howard | [email protected]. Kawg hloov kho: 2024-01-10 06:38
Pythagorean Theorem. Lub Pythagorean txoj kev xav hais tias nyob rau hauv ib tug txoj cai daim duab peb sab, lub square ntawm qhov ntev ntawm lub hypotenuse sib npaug rau cov lej ntawm cov squares ntawm qhov ntev ntawm ob txhais ceg ntawm txoj cai daim duab peb sab.
Dab tsi yog thaj tsam ntawm square ntawm lub hypotenuse ntawm txoj cai daim duab peb sab?
Nyob rau hauv ib daim duab peb sab, thaj tsam ntawm lub square kos los ntawm lub hypotenuse yog sib npaug rau cov sum ntawm cov cheeb tsam ntawm cov squares uas yog kos los ntawm ob txhais cegKoj tuaj yeem pom qhov no tau piav qhia hauv qab no hauv tib 3-4-5 txoj cai daim duab peb sab. Nco ntsoov tias Pythagorean Theorem tsuas yog ua haujlwm nrog txoj cai peb tog xwb.
Dab tsi yog square ntawm daim duab peb sab hypotenuse?
Pythagoras theorem formula hais tias nyob rau hauv ib daim duab peb sab ABC, lub square ntawm lub hypotenuse yog sib npaug rau cov lej ntawm cov square ntawm ob txhais ceg Yog tias AB, BC, thiab AC yog ob sab ntawm daim duab peb sab, ces: BC2=AB2 + AC2 Txawm yog a, b, thiab c yog ob sab ntawm daim duab peb sab, ces c2=a2 + b2
Nyob rau hauv daim duab peb sab lub square ntawm lub hypotenuse yog sib npaug rau cov lej ntawm cov square ntawm ob sab?
Nyob rau hauv ib daim duab peb sab txoj cai, lub square ntawm lub hypotenuse yog sib npaug rau cov sum ntawm squares ntawm ob sab.
Lub square ntawm daim duab peb sab yog hu ua dab tsi?
Nyob rau hauv ib daim duab peb sab, thaj tsam ntawm lub square uas nws sab yog tus hypotenuse (sab opposite lub kaum sab xis) yog sib npaug rau cov sum ntawm cov cheeb tsam ntawm cov squares uas nws ob sab yog ob ceg (ob sab uas sib ntsib ntawm lub kaum sab xis).
Pom zoo:
Puas yog daim duab peb sab sib npaug yog daim duab peb sab?
No, ib daim duab peb sab tsis tuaj yeem yog daim duab peb sab sib npaug . Puas yog daim duab peb sab sib npaug yog daim duab peb sab txoj cai piav qhia koj cov lus teb? Daim duab peb sab sib npaug tsis tuaj yeem yog daim duab peb sab yogQhov no ua rau kev nkag siab vim tias lub kaum sab xis ntsuas hauv ib daim duab peb sab, tsis yog daim duab peb sab sib npaug, sib npaug 180 degrees.
Yuav ua li cas yog txoj hauv kev twg yog lub tuam txhab daim duab peb sab lub tsho lub tsho ua haujlwm txaus ntshai?
Cov neeg ua haujlwm hauv lub Hoobkas, feem ntau yog cov ntxhais hluas tsis ntev los no los ntawm Tebchaws Europe, tsis muaj sijhawm lossis sijhawm khiav tawm. Cov hluav taws kub hnyiab sai sai tua 146 tus neeg ua haujlwm Lub tsev tsuas muaj ib qho kev khiav tawm hluav taws, uas tau tawg thaum lub sijhawm cawm.
Qhov twg yog qhov ntev ntawm lub hypotenuse ntawm daim duab peb sab?
Nyob rau hauv geometry, lub hypotenuse yog qhov ntev tshaj plaws ntawm daim duab peb sab sab xis, sab tawm ntawm lub kaum sab xis. Qhov ntev ntawm lub hypotenuse tuaj yeem pom siv Pythagorean theorem, uas hais tias lub square ntawm qhov ntev ntawm lub hypotenuse sib npaug ntawm cov squares ntawm qhov ntev ntawm ob sab Ntev npaum li cas ntawm qhov hypotenuse ntawm daim duab peb sab 8cm 15cm?
Thaum twg lub chaw nyob sab hauv daim duab peb sab?
Definition Lub incenter yog ib qho ntawm daim duab peb sab cov ntsiab lus ntawm concurrency tsim los ntawm kev sib tshuam ntawm daim duab peb sab 3 lub kaum sab xis bisectors. Yog tias daim duab peb sab yog obtuse, xws li tus ntawm daim duab hauv qab no ntawm sab laug, ces lub incenter nyob rau hauv daim duab peb sab sab hauv .
Nyob rau hauv ib lub kaum sab xis daim duab peb sab r yog sib npaug?
Txoj Kev: Cov qauv rau kev xam qhov ntsuas ntawm lub kaum sab xis ntawm daim duab peb sab tuaj yeem muab tau raws li r=(P + B - H) / 2 Thiab peb paub tias thaj tsam ntawm ib qho lub voj voog yog PIr 2 qhov twg PI=22 / 7 thiab r yog lub vojvoog ntawm lub voj voog.
