Puas yog dilations ib txwm nce qhov ntev ntawm kab ntu?

2024 Tus sau: Miles Stephen | [email protected]. Kawg hloov kho: 2023-12-15 23:36

Thaum lawv ntsuas qhov deb ntawm cov ntsiab lus, dilations ua tsis hloov cov ces kaum. Kev hloov pauv cuam tshuam rau txhua lub ntsiab lus hauv lub dav hlau, tsis yog cov duab tshwj xeeb uas peb xaiv los txheeb xyuas thaum ua haujlwm nrog kev hloov pauv. Tag nrho qhov ntev ntawm kab ntu nyob rau hauv lub dav hlau yog scaled los ntawm tib yam thaum peb thov a dilation.

Tom qab ntawd, ib tug kuj yuav nug, yuav ua li cas dilation cuam tshuam qhov ntev ntawm kab?

Kev piav qhia: Dilation los yog scaling yog qhov kev hloov ntawm lub dav hlau ob sab lossis qhov chaw peb-dimensional raws li cov cai hauv qab no: Dilation preserves parallelism ntawm kab thiab cov ces kaum ntawm lawv. Cov ntev ntawm tej ntu AB hloov raws tib txoj cai saum toj no: |A'B'|=f⋅|AB|.

Ib yam li ntawd, yuav ua li cas rau thaj tsam ntawm daim duab dilated? Thaj chaw thiab Perimeter ntawm Dilated Figures . Thaum cov duab yog dilated (thaum lawv loj dua los yog me dua), perimeter hloov linearly-nyob rau hauv ncaj proportions nrog ntev-ntev cheeb tsam hloov quadratically-hauv kev faib ua feem rau qhov ntev squared.

Tsis tas li ntawd, qhov ntev ntawm cov duab ntawm ib kab ntu nyob rau hauv ib dilation muaj feem xyuam rau qhov ntev ntawm nws qhov Preimage?

Cov dilation ntawm a kab ntu (cov duab ua ntej ) yog a kab ntu nws ntev yog qhov khoom ntawm qhov ntsuas qhov ntsuas thiab qhov ntev ntawm duab ua ntej . Siv cov kauj ruam hauv qab no los thov a dilation los ntawm ib qho ntawm 3, nrog rau qhov chaw ntawm lub point O, rau ‹−› AC. nrug ntawm O mus rau A' yog peb npaug ntawm qhov kev ncua deb ntawm O mus rau A.

Yuav ua li cas dilations daim ntawv qhia ntu?

Raws li ib sab, saib tias a daim ntawv qhia dilation kab sib npaug ntu mus rau parallel kab ntu . Ntxiv mus, a daim ntawv qhia dilation ib txoj kab ncaj qha ntu mus rau ib txoj kab ncaj qha ntu uas taw tes rau tib txoj kev.