Lub tswv yim ntawm kev kawm lej hauv kev ua lej yog qhia hauv qib 7 ntawm chav kawm algebra. Thiab nyob rau hauv lub neej yav tom ntej, thoob plaws hauv chav kawm ntawm kev kawm lej, lub tswv yim no tau siv zog ua ntau yam. Degrees yog ib lub ntsiab lus nyuaj heev, yuav tsum nco txog qhov tseem ceeb thiab muaj peev xwm ua kom raug thiab suav sai sai. Rau kev ua haujlwm nrawm dua thiab zoo dua nrog cov lej lej, lawv tuaj nrog cov khoom ntawm cov degree. Lawv pab txo qis ntawm kev suav loj, hloov cov piv txwv loj rau hauv ib tus lej rau qee qhov. Tsis muaj ntau yam khoom, thiab tag nrho cov ntawm lawv yog ib qho yooj yim rau nco ntsoov thiab siv nyob rau hauv kev xyaum. Yog li ntawd, tsab xov xwm tham txog cov khoom tseem ceeb ntawm cov degree, nrog rau qhov twg lawv thov.
Degree khoom
Peb yuav txiav txim siab 12 yam khoom ntawm qib, suav nrog cov khoom ntawm qib nrog tib lub hauv paus, thiab muab piv txwv rau txhua lub cuab yeej. Txhua yam ntawm cov khoom no yuav pab koj daws cov teeb meem nrog qib siab dua, nrog rau txuag koj ntawm ntau yam yuam kev.
1st property.
a0=1
Ntau zaus tsis nco qab txog cov khoom no, uayuam kev los ntawm kev sawv cev tus lej rau lub zog ntawm xoom li xoom.
2nd khoom.
a1=a
3rd khoom.
a am=a(n+m)
Koj yuav tsum nco ntsoov tias cov cuab yeej no tsuas yog siv tau thaum muab tus lej sib npaug, nws tsis ua haujlwm nrog cov lej! Thiab tsis txhob hnov qab tias qhov no thiab cov khoom hauv qab no tsuas yog siv rau lub zog nrog tib lub hauv paus.
4th khoom.
am=a(n-m)
Yog tias tus lej hauv tus lej raug tsa rau lub zog tsis zoo, tom qab ntawd thaum rho tawm, qib ntawm tus lej raug coj mus rau hauv cov lej txhawm rau hloov qhov kos npe hauv kev suav ntxiv.
Khoom ua haujlwm tsuas yog faib, tsis yog rho tawm!
5th khoom.
(am=a(nm)
6th khoom.
a-n=1/a
Cov cuab yeej no tuaj yeem siv rov qab. Ib chav faib los ntawm tus lej mus rau qee qib yog tus lej ntawd rau lub zog tsis zoo.
7th khoom.
(ab)m=am bm
Cov cuab yeej no tsis tuaj yeem siv rau cov lej thiab qhov sib txawv! Thaum tsa tus lej lossis qhov sib txawv rau lub zog, cov qauv sau luv luv yog siv, tsis yog lub zog ntawm lub zog.
8th khoom.
(a/b)=a/b
9th khoom.
a½=√a
Cov cuab yeej no ua haujlwm rau txhua lub zog feem ntau nrog tus lej sib npaug rau ib qho,cov mis yuav zoo ib yam, tsuas yog cov degree ntawm lub hauv paus yuav hloov nyob ntawm seb tus denominator ntawm lub degree.
Tsis tas li, cov cuab yeej no feem ntau siv rov qab. Lub hauv paus ntawm txhua lub zog ntawm tus lej tuaj yeem sawv cev raws li tus lej ntawd rau lub zog ntawm ib qho kev faib los ntawm lub zog ntawm lub hauv paus. Cov cuab yeej no muaj txiaj ntsig zoo thaum lub hauv paus ntawm tus lej tsis tau muab rho tawm.
10th khoom.
(√a)2=a
Cov cuab yeej no tsis tsuas yog ua haujlwm nrog cov hauv paus plaub hau thiab lub zog thib ob. Yog tias qhov degree ntawm cov hauv paus hniav thiab qib uas cov hauv paus hniav no tau tsa zoo ib yam, ces cov lus teb yuav yog qhov qhia tawm.
11th khoom.
√a
Yuav tsum muaj peev xwm pom cov cuab yeej no hauv lub sijhawm thaum daws kom txuag koj tus kheej ntawm kev suav loj.
12th khoom.
am/n=√am
Txhua yam ntawm cov khoom no yuav ntsib koj ntau dua ib zaug hauv kev ua haujlwm, nws tuaj yeem muab rau hauv nws daim ntawv ntshiab, lossis nws yuav xav tau qee qhov kev hloov pauv thiab siv lwm cov qauv. Yog li ntawd, rau qhov kev daws teeb meem, nws tsis txaus kom paub txog cov khoom xwb, koj yuav tsum xyaum thiab txuas ntxiv cov kev paub txog lej.
Siv qib thiab lawv cov khoom
Lawv tau nquag siv hauv algebra thiab geometry. Degree hauv lej muaj qhov sib cais, qhov chaw tseem ceeb. Nrog lawv cov kev pab, kev sib npaug exponential thiab qhov tsis sib xws raug daws, nrog rau cov hwj chim feem ntau cuam tshuam cov kev sib npaug thiab cov piv txwv ntsig txog lwm ntu ntawm lej. Exponents pab kom tsis txhob suav loj thiab ntev, nws yooj yim dua los txo thiab xam cov exponents. Tab sis rauua hauj lwm nrog lub hwj chim loj, los yog nrog lub hwj chim ntawm cov neeg coob, koj yuav tsum paub tsis tsuas yog cov khoom ntawm cov degree, tab sis kuj muaj peev xwm ua hauj lwm nrog cov hauv paus, muaj peev xwm decompose lawv thiaj li ua rau koj txoj hauj lwm yooj yim dua. Txhawm rau kom yooj yim, koj yuav tsum paub lub ntsiab lus ntawm cov lej tsa rau lub hwj chim. Qhov no yuav txo koj lub sijhawm hauv kev daws teeb meem los ntawm kev tshem tawm qhov xav tau rau kev suav ntev.
Lub tswv yim ntawm kev kawm qib siab ua lub luag haujlwm tshwj xeeb hauv logarithms. Txij li thaum lub logarithm, hauv qhov tseem ceeb, yog lub zog ntawm tus lej.
Txo cov qauv sib npaug yog lwm qhov piv txwv ntawm kev siv lub zog. Lawv tsis tuaj yeem siv cov khoom ntawm cov degrees, lawv tau decomposed raws li cov kev cai tshwj xeeb, tab sis nyob rau hauv txhua tus lej sib npaug ntawm cov mis muaj qhov tsis sib xws.
Degrees kuj tseem siv tau hauv physics thiab computer science. Tag nrho cov kev txhais lus rau hauv SI system yog tsim los siv cov qib, thiab yav tom ntej, thaum daws teeb meem, cov khoom ntawm cov degree raug siv. Hauv computer science, lub hwj chim ntawm ob yog nquag siv, kom yooj yim ntawm kev suav thiab yooj yim rau kev nkag siab ntawm cov lej. Kev suav ntxiv ntawm kev hloov pauv ntawm cov ntsuas ntsuas lossis suav cov teeb meem, ib yam li hauv physics, tshwm sim siv cov khoom ntawm cov degree.
Degrees kuj muaj txiaj ntsig zoo hauv astronomy, qhov twg koj tsis tshua pom kev siv cov khoom ntawm cov degree, tab sis cov degrees lawv tus kheej tau siv los ua kom luv luv ntawm ntau qhov ntau thiab qhov deb.
Degrees kuj siv nyob rau hauv lub neej txhua hnub, thaum xam cov cheeb tsam, ntim, nrug.
Nrog kev pab ntawm qib, ntau qhov loj thiab me me tau sau rau hauv txhua qhov kev tshawb fawb.
exponential equations thiab inequalities
Cov khoom kawm qib siab nyob hauv ib qho chaw tshwj xeeb hauv kev sib npaug exponential thiab qhov tsis sib xws. Cov dej num no muaj ntau heev, ob qho tib si hauv tsev kawm ntawv chav kawm thiab hauv kev xeem. Tag nrho cov ntawm lawv yog daws los ntawm kev siv cov khoom ntawm cov degree. Qhov tsis paub yog ib txwm nyob rau hauv nws tus kheej, yog li ntawd, paub txhua yam khoom, nws yuav tsis yooj yim los daws qhov sib npaug lossis qhov tsis sib xws.
