KUV nyob hauv lub qab posts muaj tau sim mus nrhiav tau tej yam uas, ua ib tug siv tau CAS nyob rau hauv GeoGebra los. Muaj ntau ntau siv ntshiab heev, xws li lub Binomial tis, Txheeb cais , Chi ²-xeem, Tshuaj differential sib npaug thiab lwm tus.

CAS yog ib qho acronym rau (C)omputer (A)lgebra System. Nyob rau ib sab hnov li ntawd nws mus, Koj yuav siv koj lub computer los xam tej yam, ua ntej koj yuav tau kev xyuam xim ntxiv drag rau. Lub computer siv lub cev mus nkag siab, raws li koj sau thiab nrhiav tov los muab cov kev cai.

GeoGebra koj yuav nrhiav tau CAS nyob rau hauv lub tshuab raj Qhia (fra version 4.2).

Piv txwv

Tshuab xam zauv

CAS qhov no rau txujci tus siab heev cov tshuab xam zauv. Koj siv tau lub +,-,* thiab /, tab sis kuj muaj ntau lwm nta. Koj muab tau cov lus teb ua integer/zauv tooj siv lub. los yog siv caij nyoog muab xam lub. -khawm. Lwm lub zog uas koj yuav siv nws cov(), cos(), ziab().

 

Commands ntawm Danish:

Her er et link til en oversigt over de danske kommandoer, hais tias koj siv tau nyob rau hauv feem CAS.
http://wiki.geogebra.org/da/Kategori:CAS_kommandoer

Commands English:

Her er et link til en oversigt over de danske kommandoer, hais tias koj siv tau nyob rau hauv feem CAS.
http://wiki.geogebra.org/en/CAS_Specific_Commands

 

Kab zauv kua – Tshuaj, yooj yim

Tej zaum koj yuav tau GeoGebra kom paub cov tshuaj koj kab zauv los ntawm kev ua cov nram no;

1. Sim sau kab zauv 5x 3 = 2 x 12 ua CAS. (Tsis nias sau!!)
2. Yog nias lub khawm (Xam) los khawm (Xoob numeric).
3. Tam sim no koj tau txais cov tshuaj rau kab zauv.

 

Kab zauv kua – Raws li koj xav!

Yog qhov zoo nyob li CAS, koj yuav sau cov qhia, raws li koj xav thiab tsis muaj los sau dua tshiab.

Fx:
Peter lawm 25 kr. thiab xav mus yuav tau ib qho khoom ua si rau 39 kr. Yog tau nyiaj ntau npaum li cas yog tias nws ua ntej nws yuav lub qho khoom ua si?

1. Hom 25 + ? = 39 thiab nias lub khawm (Xam) los khawm (Xoob numeric).
2. Tam sim no koj twb txais tau cov lus teb.
   Qhov zoo tshaj plaws txog hom no yog, rau cov me nyuam tseem tsis xav, ua hauj lwm uas yog duas minus (39-25 = 14), tab sis, feem ntau xav tias, Kuv yuav tsum tau muab dab tsi 25 xav tau 39. Txoj kev xav lawv yuav tam sim no siv metering. TSHEB.

 

Kab zauv kua – Tov sib npaug nrog 2 los yog ntau dua unknowns

CAS ib feem kuj muaj ib qho kev xaiv los xam rau cov tshuaj kom sib npaug nrog 2 los yog ntau dua unknowns. Yog peb, piv txwv li, muaj cov nram qab no 2 sib npaug nrog 2 unknowns x thiab y.

1. x y = 3
2. 4x 3y = 1

Thiaj li muaj cov tshuaj yog ua li ntawd:

1. Yam li nram no Xam[{x y = 3, 4x 3y = 1},{x,y}]
2. Xovxwm Sau saum tus keyboard.

 

Yog tias muaj, piv txwv li, yog 3 unknowns x,y thiab z, ces lawv yuav tsum tau sau ntawm {}. $ 2,000 Lawm. {x,y,z}.

 

Kuj sib txawv thiab kev siv

Koj paub, tias ib tug kuj sib txawv thiab yuav tsum muab kom tau ib kab lus uas qhia kiag:

Sau ntawv, piv txwv li, tus qauv xam xyuas cheeb tsam hauv ib daim duab peb sab

1. Hom thaj chaw:= 0.5 * h * G thiab sau xovxwm
2. Hom h:= 2 thiab sau xovxwm
3. Hom G:= 4 thiab sau xovxwm
4. Hom thaj chaw thiab ces nias -khawm.
5. Ziag no koj yuav cias hloov lub neej yav tom ntej xws li h:= 3, sau cov chaw thiab nias -khawm. Yog li kev hloov chaw.

 

Kem cais ib tug kuj sib txawv thiab los sau dua tshiab rau tus qauv

Kem cais ib tug kuj sib txawv thiab los sau dua tshiab lub mis uas siv lub muaj nuj nqi. Tej zaum koj yuav muaj, piv txwv li, cov cheeb tsam uas muaj ib daim duab peb sab thiab muaj ntawm lub hauv paus, tab sis tsis muaj cov. Peb hais, Yog tias cheeb tsam 14 thiab yog tus lub hauv paus 4. Nws sau li no rau hauv cov formula A = 0.5 * h * G.

1. Hom 14= 0.5 * (h) * 4 thiab ces nias -khawm.
2. Tam sim no koj twb tau mus rau qhov siab.

 

Zauv

Koj siv tau lub. CAS tseem ua zauv.

\[\frac{2}{3} + \frac{4}{5}\]

1. Sau kab zauv saum toj ntawm typing 2/3+4/5 thiab kev siv cov khawm (Xam).
2. (Khawm sau cov upshot li ib feem, Thaum uas koj khawm sau ua ib tug zauv kheej los yog zauv facit.)

Nrhiav tus lowest common denominator ntawm cov khaub denominator[ <qhia>, <qhia> ]. Piv txwv, yog tias koj xav tau kom nrhiav tau ib qho denominator rau lub 2 zauv \[\frac{2}{3} og \frac{4}{5}\].

1. Hom Common Denominator[ 2/3 , 4/5 ] thiab nias -khawm.

 

Factorization

Koj siv tau Geogebra rau cov zauv faib qhov sib npaug. Paub cov nqe fx square lus thiab lwm yam..

1. Sim sau kab zauv x ^ 2 + x – 6 ua CAS. (Tsis nias sau!!)
2. Yog nias lub khawm -khawm (Qhov zoo tshaj yuav).
3. Tam sim no koj mus faktoriseringen (x + 3) (x – 2).

 

Coj

Koj siv tau GeoGebra xam xws li nqe lus square, xws li \[(2x ^ 2 3)^ 2 yog muaj]

1. Hom (2x ^ 2 3)^ 2) thiab nias -khawm.

 

Primes thiab Prime yam

GeoGebra muaj ib feem xaiv, Thaum nws tawm mus primes. Piv txwv li, koj yuav nrhiav tau

NæstePrimtal[<tal>]
ForrigePrimtal[<tal>]
PrimFaktorer[ <tal> ]
ErPrimtal[ <tal> ]

 

Nta

Koj tseem yuav cia cov CAS drawing nta. Qhov uas koj yuav tsum tau mus ua hauj lwm ua yog, yuav kom koj sau tau ib cov nyuv (:) ua ntej lub vaj huam sib luag piav nyob rau tej qhov chaw cov kev cai.

1. Hom (f)(x):= 2 x 4 thiab tau nias tus lej sau.
2. Hom (g)(x):= 3 x 1 thiab tau nias tus lej sau.
3. Hom f = g thiab nias -khawm.Tam sim no koj pom muaj cov kev tshuam ntawm txoj 2 nstuas thiab yuav muab tau cov kab zauv 2 x 4 = 3 x 1

 

Prøv også følgende kommandoer:
Random Polynomial[ <Kawm ntawv>, <Yam tsawg kawg rau Coefficients>, <Tshaj plaws rau Coefficients> ]

 

Nta – Ncua

Koj yeej tseem ua hauj lwm nrog rau nws qhov kev siv rau ib me ntsis ntxiv txhab uas duav txhua yam. Ua ntej, peb yuav tsum cob, piv txwv li, muaj nuj nqi f(x) ib cov kev cai xwb. Nws yuav yog ib tug andengradsfunktion. Yog li yuav tau cov kev cai \[(f)(x)=ax^2+bx+c\].

Koj yuav tsum tau npe xws li(x) Daim ntawv no. Vim li no, koj yuav tsum siv tau ib cov nyuv pem lub taub hau ntawm = xee. Tseem nco txog lub sij hawm uas twv taus thiab bx. Yog li no:

1. Hom (f)(x):= tus * x ^ 2 b * x c
   
2. Xovxwm Sau.
3. Hom Xam[{(f)(1)= 0, f(3)= 0, (f)(0)= 3},{(a),(b),(c)}]
4. Xovxwm Sau.

Koj muaj tau li no, Dab tsi yog qhov (a),(b),(c) qhov tseem ceeb uas haum rau cov ua haujlwm yuav tsum mus (1,0), (3,0) thiab (0,3).

 

Txo

Nws tseem tau los ua hauj lwm nrog yuav txo tau. Koj tsuas sau kab zauv, uas yuav tsum raug txo kom tsawg. Se eksemplerne i billedet herunder.