Radians thiab degrees yog ob chav siv los ntsuas cov ces kaum. Raws li koj tau paub, lub voj voos yog tsim los ntawm 2π radians, uas yog sib npaug ntawm 360 °; ob qhov txiaj ntsig no sawv cev rau "ib zaug ib ncig" ntawm lub voj voog. Yog li, 1π radians nruab nrab yog lub voj voos ncig ntawm 180 °, ua 180/π yog cov cuab yeej hloov pauv zoo tshaj plaws rau hloov radians mus rau qib. Txhawm rau hloov radians mus rau qib, koj tsuas yog xav tau los sib npaug tus nqi radian los ntawm 180/π. Yog tias koj xav paub yuav ua li cas thiab nkag siab cov ntsiab lus hauv tus txheej txheem, saib Kauj Ruam 1 kom pib.
Kauj ruam
Kauj Ruam 1. Paub tias radians sib npaug 180 degrees
Ua ntej koj pib hloov txheej txheem, koj yuav tsum paub tias radians = 180 °, uas yog sib npaug rau ib nrab ntawm ib puag ncig ntawm lub voj voog. Qhov no tseem ceeb vim tias koj yuav siv 180/π raws li kev ntsuas hloov pauv. Qhov no yog vim 1π radians sib npaug 180/π degrees.
Kauj Ruam 2. Muab cov radians sib npaug 180/π los hloov lawv mus rau qib
Yooj yim li ntawd. Cia peb hais tias koj tab tom ua haujlwm nrog /12 radians. Tom qab ntawd, koj yuav tsum sib npaug nws 180/π thiab yooj yim yog xav tau. Nov yog koj ua nws li cas:
- /12 x 180/π =
- 180π/12π 12π/12π =
- 15°
- /12 radians = 15 °
Kauj Ruam 3. Xyaum nrog qee qhov piv txwv
Yog tias koj xav nkag siab cov txheej txheem tiag tiag, sim hloov pauv los ntawm radians mus rau qib nrog ob peb yam piv txwv ntxiv. Nov yog qee qhov piv txwv uas koj tuaj yeem ua haujlwm nrog:
- Piv txwv 1: 1/3π radians =/3 x 180/π = 180π/3π 3π/3π = 60 °
- Piv txwv 2: 7/4π radians = 7π/4 x 180/π = 1260π/4π 4π/4π = 315 °
- Piv txwv 3: 1/2π radians =/2 x 180/π = 180π/2π 2π/2π = 90 °
Kauj Ruam 4. Nco ntsoov tias muaj qhov sib txawv ntawm "radian" thiab "π radian"
Yog tias koj hais 2π radians lossis 2 radians, ces koj tsis siv tib lub sijhawm. Raws li koj paub, 2π radians sib npaug 360 degrees. Txawm li cas los xij, yog tias koj tab tom ua haujlwm nrog 2 radians, yog li koj xav hloov nws mus rau qib, koj yuav tsum xam 2 x 180/π. Koj yuav tau txais 360/π lossis 114, 5. Qhov no yog cov lus teb sib txawv vim tias, yog tias koj tsis ua haujlwm nrog radians, tom qab ntawd tsis thim ib leeg tawm ntawm qhov kev ua zauv thiab cov txiaj ntsig sib txawv qhov txiaj ntsig.
Lub tswv yim
- Thaum sib npaug, tawm pi hauv koj cov radians ua lub cim thiab tsis yog nws qhov kwv yees kwv yees kwv yees, yog li nws yooj yim dua rau koj rho nws tawm hauv koj cov lus suav.
- Ntau lub tshuab xam zauv teeb tsa muaj lub luag haujlwm hloov pauv chav lossis koj tuaj yeem rub tawm ib qho program los hloov cov chav. Nug koj tus kws qhia lej yog tias muaj cov haujlwm no suav nrog hauv koj lub laij lej.