Cov txheej txheem:
Video: Yuav ua li cas koj pom qhov ntxeev ntawm daim duab peb sab siv Pythagorean?
2024 Tus sau: Miles Stephen | [email protected]. Kawg hloov kho: 2023-12-15 23:36
Txoj cai daim duab peb sab thiab Pythagorean Theorem
- Cov Pythagorean Theorem, a2 + b2 = c2, a 2 + b 2 = c 2, tuaj yeem siv los nrhiav qhov ntev ntawm ib qho sab ntawm ib txoj cai daim duab peb sab .
- Cov sab opposite lub kaum sab xis yog hu ua hypotenuse ( sab c hauv daim duab).
Ntawm no, ua li cas koj pom qhov opposite sab ntawm daim duab peb sab?
Yuav kom paub qhov twg, ua ntej peb muab lub npe rau sab:
- Adjacent yog nyob ib sab (tom ntej) rau lub kaum sab xis,
- Rov qab yog opposite lub kaum sab xis,
- thiab sab ntev tshaj plaws yog Hypotenuse.
Ib yam li ntawd, daim duab peb sab yog dab tsi? Cov Daim duab peb sab yog muab hauv qab no li, Perimeter ntawm a daim duab peb sab = a + b + c. Thaj tsam; ntawm; ib; daim duab peb sab = frac{1}{2}bh. Qhov twg, b yog lub hauv paus ntawm lub daim duab peb sab . h yog qhov siab ntawm lub daim duab peb sab.
Ib yam li ntawd, ib tug yuav nug, ua li cas koj pom qhov ploj ntawm daim duab peb sab nrog ib sab thiab ib lub kaum sab xis?
Pythagoras 'Theorem (Lub Pythagorean Theorem) Lub hypotenuse yog qhov ntev tshaj plaws sab ntawm ib txoj cai daim duab peb sab , thiab nyob opposite sab xis lub kaum sab xis . Yog li, yog tias koj paub qhov ntev ntawm ob sab , txhua yam koj yuav tsum tau ua yog square ob qhov ntev, ntxiv qhov tshwm sim, tom qab ntawd siv lub hauv paus square ntawm cov lej kom tau qhov ntev ntawm lub hypotenuse.
Yuav ua li cas koj pom qhov ploj ntawm daim duab peb sab isosceles?
Rau nrhiav ib tug tsis paub sab ntawm a daim duab peb sab , koj yuav tsum paub qhov ntev ntawm lwm ob sab thiab/los yog qhov siab. Rau nrhiav tsis paub lub hauv paus ntawm ib isosceles daim duab peb sab , siv cov hauv qab no qauv : 2 * sqrt(L^2 - A^2), qhov L yog qhov ntev ntawm ob txhais ceg thiab A yog qhov siab ntawm qhov daim duab peb sab.
Pom zoo:
Yuav ua li cas koj pom qhov nruab nrab thiab nruab nrab ntawm daim duab peb sab?
Txhawm rau nrhiav qhov chaw nruab nrab ntawm daim duab peb sab, nws yog qhov yooj yim tshaj plaws los kos tag nrho peb qhov nruab nrab thiab nrhiav lawv qhov kev sib tshuam. Txhawm rau kos qhov nruab nrab ntawm daim duab peb sab, ua ntej nrhiav qhov nruab nrab ntawm ib sab ntawm daim duab peb sab. Kos ib kab ntu uas txuas qhov taw tes no mus rau qhov rov qab vertex
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
Yuav ua li cas koj pom ob sab ntawm daim duab peb sab prism?
Qhov sib npaug ntawm ob qhov yooj yim tshaj plaws yog: ntim = 0.5 * b * h * ntev, qhov twg b yog qhov ntev ntawm lub hauv paus ntawm daim duab peb sab, h yog qhov siab ntawm daim duab peb sab thiab ntev yog prism ntev. cheeb tsam = ntev * (a + b + c) + (2 * base_area), qhov twg a, b, saib xyuas sab ntawm daim duab peb sab thiab base_area yog thaj tsam peb sab