Puas yog ib feem ncab lossis txo qis ib daim duab?

Cov txheej txheem:

Puas yog ib feem ncab lossis txo qis ib daim duab?
Puas yog ib feem ncab lossis txo qis ib daim duab?
Anonim

Ib ntsug compression (lossis shrinking) yog qhov nyem ntawm daim duab mus rau x-axis. … yog 0 < k < 1 (ib feem), cov duab yog f (x) vertically shrunk (los yog compressed) los ntawm kev muab txhua ntawm nws y-coordinates los ntawm k. • Yog tias k should yog qhov tsis zoo, qhov ntsug ncab lossis ntsws yuav ua raws li kev xav hla ntawm x-axis.

Yuav ua li cas koj ncab lossis txo qis ib daim duab?

Txoj kev ncab lossis txo cov duab nyob rau hauv y kev taw qhia, multiply los yog faib cov zis los ntawm qhov tas li. 2f (x) yog stretched nyob rau hauv lub y kev taw qhia los ntawm ib tug yam ntawm 2, thiab f (x) yog shrunk nyob rau hauv lub y kev taw qhia los ntawm ib tug yam ntawm 2 (los yog stretched los ntawm ib yam ntawm). Ntawm no yog cov duab ntawm y=f (x), y=2f (x), thiab y=x.

Puas yog ib feem stretch lossis compress ib qho haujlwm?

Nyob rau hauv lej, koj tuaj yeem ncab lossis nrawm ua haujlwm kab rov tav los ntawm kev muab x los ntawm qee tus lej ua ntej lwm yam haujlwm. Txhawm rau ncab txoj haujlwm, muab faib los ntawm ib feem ntawm 0 thiab 1. Txhawm rau txhawm rau ua haujlwm, muab ntau los ntawm qee tus lej ntau dua 1.

Puas yog 1 2 txoj hlua ntsug lossis ntsws?

Raws li lub ntsiab txhais ntawm ntsug shrink , daim duab ntawm y1(x) yuav tsum zoo li daim duab ntawm f (x), vertically shrunk los ntawm qhov tseem ceeb ntawm 1/2.

Yuav ua li cas koj ncab daim duab ntsug?

Thaum muab lub luag haujlwm ntawm daim duab, peb tuaj yeem vertically ncab nws los ntawm rub lub nkhaus sab nraud raws li qhov muab teevfactor. Nov yog qee yam uas yuav tsum nco ntsoov thaum peb vertically stretch functions: Xyuas kom meej tias qhov tseem ceeb rau x nyob twj ywm, yog li lub hauv paus ntawm qhov nkhaus yuav tsis hloov.

Pom zoo:

Nthuav cov khoom
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Nyeem ntxiv

Vim li cas teeb pom kev tseem ceeb hauv chav ua noj?

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