Video: Puas yog Dilation tsis yog kev hloov pauv?
2024 Tus sau: Miles Stephen | [email protected]. Kawg hloov kho: 2023-12-15 23:36
A dilation yog a kev hloov pauv uas tsim cov duab uas zoo ib yam li tus thawj, tab sis yog qhov sib txawv. Nco tseg: A dilation tsis yog hu ua a nruj transformation (los yog isometry) vim tias daim duab tsis tas yuav tsum muaj qhov loj me raws li daim duab ua ntej (thiab nruj transformations khaws cia ntev).
Ntawm no, Dilation puas yog ib qho kev hloov pauv tsis nruj lossis tsis nruj?
A dilation yog qhov zoo sib xws kev hloov pauv uas hloov qhov loj me tab sis tsis zoo li daim duab. Dilations tsis yog nruj transformations vim, thaum lawv khaws cov ces kaum, lawv tsis khaws qhov ntev.
Qhov thib ob, 4 hom kev hloov pauv hauv lej yog dab tsi? Muaj plaub hom kev hloov pauv loj: txhais lus , kev sib hloov , xav txog thiab dilation.
Hauv qhov no, dab tsi yog qhov kev hloov pauv tsis nruj?
A tsis yog - nruj transformation tuaj yeem hloov qhov loj lossis cov duab, lossis ob qho tib si loj thiab cov duab, ntawm qhov preimage. Ob kev hloov pauv , dilation thiab shear, yog tsis yog - nruj . Cov duab tshwm sim los ntawm kev hloov pauv yuav hloov nws qhov loj me, nws cov duab, los yog ob qho tib si.
Kev hloov pauv dab tsi tsis khaws qhov loj?
Kev hloov pauv geometry yog nruj lossis tsis nruj; Lwm lo lus rau ib tug nruj transformation yog "isometry". Ib qho isometry, xws li a kev sib hloov , txhais lus , los yog xav txog , tsis hloov qhov loj lossis cov duab ntawm daim duab. Lub dilation tsis yog ib qho isometry vim tias nws yuav shrinks los yog loj dua daim duab.
Pom zoo:
Dab tsi yog qhov kev hloov pauv hloov pauv?
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