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Samenvatting wiskunde 3ASO (niet-wiskundige richtingen) 2024/2025 $16.62   Add to cart

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Samenvatting wiskunde 3ASO (niet-wiskundige richtingen) 2024/2025

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Dit is een uitgebreide samenvatting van ALLE theorie wiskunde voor de niet-wiskundige richtingen van de 3e graad ASO. Er zitten ook oefeningen bij van vorige examens en ook een proefexamen met verbetersleutel uiteraard. Ook heb ik er handige links aan toegevoegd die eigenlijk samen ook een samenvat...

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  • July 24, 2020
  • August 25, 2024
  • 49
  • 2024/2025
  • Summary

20  reviews

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By: rzalekorly • 1 year ago

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By: morgan094 • 1 year ago

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Thanks for your review! :)

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By: niczkaweclaw8998 • 1 year ago

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By: morgan094 • 1 year ago

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Thanks for your review! :)

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By: antobac • 1 year ago

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By: morgan094 • 1 year ago

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What did you dislike about it?

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By: hmmcat • 2 year ago

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By: morgan094 • 2 year ago

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Thanks for your review! What didn't you like about it?

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By: claudiadadi123 • 2 year ago

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By: morgan094 • 2 year ago

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Thanks for your review! :)

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By: lamhasniimane • 2 year ago

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By: morgan094 • 2 year ago

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Thanks for your review! :)

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By: victormulnard • 1 year ago

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By: morgan094 • 1 year ago

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Thanks for your review! :)

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1

,Inhoud
Reële functies.......................................................................................................................................................................4
Grafische voorstelling functies+ kenmerken....................................................................................................................4
even en oneven functies..................................................................................................................................................4
punt – en lijnsymmetrie: het soort symmetrie afleiden uit de grafische voorstelling................................................4
Veeltermfuncties..............................................................................................................................................................5
Ontbinden in factoren..................................................................................................................................................5
afgeleiden.........................................................................................................................................................................6
a) Verandering van een veeltermfunctie.....................................................................................................................6
b) Ogenblikkelijke verandering/ afgeleide in een punt...............................................................................................8
c) Afgeleide van een veeltermfunctie..........................................................................................................................9
Som-, en productregel...............................................................................................................................................10
e) Verloopschema en tekenschema (stijgen/dalen/extrema/nulpunten) van de afgeleide functie van een
veeltermfunctie..........................................................................................................................................................11
Exponentiële functies.....................................................................................................................................................12
a) Kenmerken exponentiele functies: domein, beeld, extrema, stijgen/dalen, asymptoten...................................12
b) Het verschil tussen lineaire en exponentiele groei ▪ In tabellen:..........................................................................12
c) Groeifactor berekenen= a......................................................................................................................................13
d) Exponentiele vergelijkingen oplossen...................................................................................................................13
e) Vraagstukken oplossen..........................................................................................................................................14
Logaritmische functies...................................................................................................................................................14
verschil tussen exponentiele en logaritmische functies:...........................................................................................14
Tiendelig of briggse logaritme...................................................................................................................................15
Natuurlijke of neperiaanse logaritme.......................................................................................................................15
a) Rekenregels van logaritmen toepassen.................................................................................................................15
b) Logaritmische vergelijkingen oplossen..................................................................................................................17
c) Het verband tussen exponentiele en logaritmische functies................................................................................17
Goniometrische functies................................................................................................................................................18
De hoeken in graden en radialen (vanbuiten kennen + met GRM)...........................................................................18
b) Verwante hoeken en hun goniometrische getallen: sinus, cosinus, tangens.......................................................19
De sinusfunctie: grafische voorstelling en kenmerken (domein, bereik, periodiciteit, nulwaarden,
extremawaarden, stijgen en dalen)...........................................................................................................................22
C) De algemene sinusfunctie:....................................................................................................................................23
e) sinusvergelijkingen oplossen.................................................................................................................................25



2

,Statistiek.............................................................................................................................................................................25
Soorten variabelen.........................................................................................................................................................25
Kwalitatief..................................................................................................................................................................25
Kwantitatief................................................................................................................................................................26
De normaalverdeling en de standaardafwijking en de klokcurve, vuistregels, z-score.................................................26
De z-score.......................................................................................................................................................................27
standaardafwijking berekenen.......................................................................................................................................29
Examenvragen....................................................................................................................................................................29
07/01/2019.....................................................................................................................................................................29
Digitale deel...............................................................................................................................................................30
Schriftelijke deel.........................................................................................................................................................31
Filmpjes alle leerstof...........................................................................................................................................................32
Reële functies.................................................................................................................................................................32
Eerstegraadsfuncties......................................................................................................................................................32
Tweedrgraadsfuncties....................................................................................................................................................32
Tweedegraadsvergelijkingen..........................................................................................................................................32
Veeltermfuncties............................................................................................................................................................32
Differentiequotiënt.........................................................................................................................................................32
Afgeleiden van veeltermfuncties...................................................................................................................................33
Exponentiële functies.....................................................................................................................................................33
Logaritmische functies...................................................................................................................................................33
Goniometrische functies................................................................................................................................................33
Goniometrische vergelijkingen......................................................................................................................................34
Statistiek.........................................................................................................................................................................34
Normale verdeling..........................................................................................................................................................34
Proefexamen.......................................................................................................................................................................35
Verbetersleutel proefexamen............................................................................................................................................41
Algemene tips.......................................................................................................................................................................3
Verloop examen....................................................................................................................................................................3
Bibliografie............................................................................................................................................................................3
Eindwoord.............................................................................................................................................................................3




SAMENVATTING

3

, REËLE FUNCTIES

GRAFISCHE VOORSTELLING FUNCTIES+ KENMERKEN




 Domein: intervalnotatie, de x-waarden waarvoor er functiewaarden bestaan
 Beeld/bereik: intervalnotatie, de oplossingen voor de x-waarden
 Nulpunten: de x-waarden waarbij de functiewaarden nul zijn
 Extremawaarden:
o maximum (M): het hoogst gedefinieerde Y-waarde van de functie f
Minimum (m): het laagst definieerde y-waarden van de functie f
 Stijgen/dalen: de functie stijgt, of de functie daalt
 Constante verloop: het functie blijft constant
 Tekenverandering van een functie: de functiewaarden zijn groter dan nul indien de
functie boven de X-as is, en negatief indien de functie onder de X-as is.

EVEN EN ONEVEN FUNCTIES


PUNT – EN LIJNSYMMETRIE: HET SOORT SYMMETRIE AFLEIDEN UIT DE GRAFISCHE VOORSTELLING
 Even functies: functies waarvan de grafiek symmetrisch is t.o.v. de y-as

F(-x)= f(x) bv. F(x)=x2




4

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