Vraagstuk voetbal

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Hans Denayer

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1 year, 5 months ago

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Hans Denayer 1 year, 5 months ago

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Hans Denayer 1 year, 5 months ago

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Question statement

{naam} is {afstand} m verwijderd van het doel en ziet dat de keeper te ver uit hun doel staat. {die} probeert de bal door een lob over de keeper te krijgen.
De grafiek van de functie met voorschrift $h(x)=\simplify{-{b}/200*x²}+\simplify{({afstand}+1)/20*x}$ stelt de baan van de bal voor, met $x$ de afstand (in m) tot {naam} en $h$ de hoogte (in m) van de bal ten opzichte van de grond.

Give any introductory information the student needs.

			Name	Type	Generated Value

afstand	integer	30
naam	string	Jessica
die	string	Zij
person	dict	Dictionary with 3 entries
schopafstand	rational	31
b	integer	10
hoogte	decimal	dec("1.5")
goal	list	[ 1, 0 ]
JaNee	list	[ "Ja", "Nee" ]
welofniet	string	een

Automatically regenerate variables?

Name

Data type

Value

A random number between and (inclusive) with step size

Description

Describe what this variable represents, and list any assumptions made about its value.

Can an exam override the value of this variable?

Generated value: `integer`

This variable doesn't seem to be used anywhere.

Advice

Om de schopafstand te bepalen, zoek de nulwaarde van de functie.

De positie van {naam} is $x=0$. De andere nulwaarde is $x=\simplify{({afstand}+1)/20}*\simplify{200/{b}}=\simplify{({afstand}+1)/20*200/{b}}=\var{formatnumber(precround(schopafstand,1),"plain-eu")}$

Om te bepalen of de bal in de goal belandt, bereken je de hoogte op een afstand {afstand} m.

Dus $h(\var{afstand})=\simplify{-{b}/200*{afstand}²}+\simplify{({afstand}+1)/20*{afstand}}=\var{formatnumber(hoogte,"plain-eu")}$.

Het is dus {welofniet} goal.

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This question is used in the following exam:

Examen Ajla by Hans Denayer in Voorbeeldvragen examen.

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Taxonomy: mathcentre

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Taxonomy: Context

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Hans Denayer 1 year, 5 months ago

Hans Denayer 1 year, 5 months ago

Hans Denayer 1 year, 5 months ago

Error in variable testing condition

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Generated value: `integer`

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Vraagstuk voetbal

Metadata

Taxonomy: mathcentre

Taxonomy: Kind of activity

Taxonomy: Context

Contributors

Feedback

History

Comment

Checkpoint description

Hans Denayer 1 year, 5 months ago

Hans Denayer 1 year, 5 months ago

Hans Denayer 1 year, 5 months ago

Error in variable testing condition

Error

Warning

Generated value: integer

Parts

Number entry

Advanced settings

Generated value: `integer`