Lampen aus Schatten konstruieren
About points...
We associate a certain number of points with each exercise.
When you click an exercise into a collection, this number will be taken as points for the exercise, kind of "by default".
But once the exercise is on the collection, you can edit the number of points for the exercise in the collection independently, without any effect on "points by default" as represented by the number here.
That being said... How many "default points" should you associate with an exercise upon creation?
As with difficulty, there is no straight forward and generally accepted way.
But as a guideline, we tend to give as many points by default as there are mathematical steps to do in the exercise.
Again, very vague... But the number should kind of represent the "work" required.
When you click an exercise into a collection, this number will be taken as points for the exercise, kind of "by default".
But once the exercise is on the collection, you can edit the number of points for the exercise in the collection independently, without any effect on "points by default" as represented by the number here.
That being said... How many "default points" should you associate with an exercise upon creation?
As with difficulty, there is no straight forward and generally accepted way.
But as a guideline, we tend to give as many points by default as there are mathematical steps to do in the exercise.
Again, very vague... But the number should kind of represent the "work" required.
About difficulty...
We associate a certain difficulty with each exercise.
When you click an exercise into a collection, this number will be taken as difficulty for the exercise, kind of "by default".
But once the exercise is on the collection, you can edit its difficulty in the collection independently, without any effect on the "difficulty by default" here.
Why we use chess pieces? Well... we like chess, we like playing around with \(\LaTeX\)-fonts, we wanted symbols that need less space than six stars in a table-column... But in your layouts, you are of course free to indicate the difficulty of the exercise the way you want.
That being said... How "difficult" is an exercise? It depends on many factors, like what was being taught etc.
In physics exercises, we try to follow this pattern:
Level 1 - One formula (one you would find in a reference book) is enough to solve the exercise. Example exercise
Level 2 - Two formulas are needed, it's possible to compute an "in-between" solution, i.e. no algebraic equation needed. Example exercise
Level 3 - "Chain-computations" like on level 2, but 3+ calculations. Still, no equations, i.e. you are not forced to solve it in an algebraic manner. Example exercise
Level 4 - Exercise needs to be solved by algebraic equations, not possible to calculate numerical "in-between" results. Example exercise
Level 5 -
Level 6 -
When you click an exercise into a collection, this number will be taken as difficulty for the exercise, kind of "by default".
But once the exercise is on the collection, you can edit its difficulty in the collection independently, without any effect on the "difficulty by default" here.
Why we use chess pieces? Well... we like chess, we like playing around with \(\LaTeX\)-fonts, we wanted symbols that need less space than six stars in a table-column... But in your layouts, you are of course free to indicate the difficulty of the exercise the way you want.
That being said... How "difficult" is an exercise? It depends on many factors, like what was being taught etc.
In physics exercises, we try to follow this pattern:
Level 1 - One formula (one you would find in a reference book) is enough to solve the exercise. Example exercise
Level 2 - Two formulas are needed, it's possible to compute an "in-between" solution, i.e. no algebraic equation needed. Example exercise
Level 3 - "Chain-computations" like on level 2, but 3+ calculations. Still, no equations, i.e. you are not forced to solve it in an algebraic manner. Example exercise
Level 4 - Exercise needs to be solved by algebraic equations, not possible to calculate numerical "in-between" results. Example exercise
Level 5 -
Level 6 -
Question
Solution
Short
Video
\(\LaTeX\)
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Exercise:
Ein Hindernis wirft die nachsteh skizzierten Schatten auf einen Schirm. Ermittle durch Konstruktion die Lage der Lampen und zeichne diese ein. Wie heissen die Schattenzonen? figureH centering tikzpicture cross/.stylepath picture drawblack path picture bounding box.south east -- path picture bounding box.north west path picture bounding box.south west -- path picture bounding box.north east; draw ystep.xstep.colorgray! grid .; %fill circle .; %Lösung % node draw circle cross minimum width.cm fillyellow! at .. ; % node draw circle cross minimum width.cm fillyellow! at .. ; % draw shorten -mmdensely dash dot ..--..; % draw shorten -mmdensely dash dot ..--..; % draw shorten -.mmdensely dash dot ..--..; % draw shorten -mmdensely dash dot ..--..; % fill black! ..--..--.--.--cycle; % fill gray! .--..----cycle; % fill gray! ..--.--.--cycle; %Aufgabe fill blue .. rectangle ..; %Hindernis draw blue ..--. node below left small Hindernis; draw red thick rectangle . .; %Schirm node red at .-. Schirm; fill gray rectangle ..; %Halbschatten fill . rectangle ..; %Kernschatten fill gray . rectangle ..; %Halbschatten tikzpicture figure
Solution:
Konstruktion und Beschriftung: figureH centering tikzpicture cross/.stylepath picture drawblack path picture bounding box.south east -- path picture bounding box.north west path picture bounding box.south west -- path picture bounding box.north east; draw ystep.xstep.colorgray! grid .; %fill circle .; %Lösung node draw circle cross minimum width.cm fillyellow! at .. ; node draw circle cross minimum width.cm fillyellow! at .. ; draw shorten -mmdensely dash dot ..--..; draw shorten -mmdensely dash dot ..--..; draw shorten -.mmdensely dash dot ..--..; draw shorten -mmdensely dash dot ..--..; fill black! ..--..--.--.--cycle; fill gray! .--..----cycle; fill gray! ..--.--.--cycle; %Aufgabe fill blue .. rectangle ..; %Hindernis draw blue ..--. node below left small Hindernis; draw red thick rectangle . .; %Schirm node red at .-. Schirm; fill gray rectangle .. noderightmidwayblack! small Halbschatten; %Halbschatten fill . rectangle .. noderightmidway small Kernschatten; %Kernschatten fill gray . rectangle .. noderightmidwayblack! small Halbschatten; %Halbschatten tikzpicture figure Hinweis: Die Schattenzonen zwischen Hindernis und Schirm müssen nicht zwing eingezeichnet werden!
Ein Hindernis wirft die nachsteh skizzierten Schatten auf einen Schirm. Ermittle durch Konstruktion die Lage der Lampen und zeichne diese ein. Wie heissen die Schattenzonen? figureH centering tikzpicture cross/.stylepath picture drawblack path picture bounding box.south east -- path picture bounding box.north west path picture bounding box.south west -- path picture bounding box.north east; draw ystep.xstep.colorgray! grid .; %fill circle .; %Lösung % node draw circle cross minimum width.cm fillyellow! at .. ; % node draw circle cross minimum width.cm fillyellow! at .. ; % draw shorten -mmdensely dash dot ..--..; % draw shorten -mmdensely dash dot ..--..; % draw shorten -.mmdensely dash dot ..--..; % draw shorten -mmdensely dash dot ..--..; % fill black! ..--..--.--.--cycle; % fill gray! .--..----cycle; % fill gray! ..--.--.--cycle; %Aufgabe fill blue .. rectangle ..; %Hindernis draw blue ..--. node below left small Hindernis; draw red thick rectangle . .; %Schirm node red at .-. Schirm; fill gray rectangle ..; %Halbschatten fill . rectangle ..; %Kernschatten fill gray . rectangle ..; %Halbschatten tikzpicture figure
Solution:
Konstruktion und Beschriftung: figureH centering tikzpicture cross/.stylepath picture drawblack path picture bounding box.south east -- path picture bounding box.north west path picture bounding box.south west -- path picture bounding box.north east; draw ystep.xstep.colorgray! grid .; %fill circle .; %Lösung node draw circle cross minimum width.cm fillyellow! at .. ; node draw circle cross minimum width.cm fillyellow! at .. ; draw shorten -mmdensely dash dot ..--..; draw shorten -mmdensely dash dot ..--..; draw shorten -.mmdensely dash dot ..--..; draw shorten -mmdensely dash dot ..--..; fill black! ..--..--.--.--cycle; fill gray! .--..----cycle; fill gray! ..--.--.--cycle; %Aufgabe fill blue .. rectangle ..; %Hindernis draw blue ..--. node below left small Hindernis; draw red thick rectangle . .; %Schirm node red at .-. Schirm; fill gray rectangle .. noderightmidwayblack! small Halbschatten; %Halbschatten fill . rectangle .. noderightmidway small Kernschatten; %Kernschatten fill gray . rectangle .. noderightmidwayblack! small Halbschatten; %Halbschatten tikzpicture figure Hinweis: Die Schattenzonen zwischen Hindernis und Schirm müssen nicht zwing eingezeichnet werden!
Meta Information
Exercise:
Ein Hindernis wirft die nachsteh skizzierten Schatten auf einen Schirm. Ermittle durch Konstruktion die Lage der Lampen und zeichne diese ein. Wie heissen die Schattenzonen? figureH centering tikzpicture cross/.stylepath picture drawblack path picture bounding box.south east -- path picture bounding box.north west path picture bounding box.south west -- path picture bounding box.north east; draw ystep.xstep.colorgray! grid .; %fill circle .; %Lösung % node draw circle cross minimum width.cm fillyellow! at .. ; % node draw circle cross minimum width.cm fillyellow! at .. ; % draw shorten -mmdensely dash dot ..--..; % draw shorten -mmdensely dash dot ..--..; % draw shorten -.mmdensely dash dot ..--..; % draw shorten -mmdensely dash dot ..--..; % fill black! ..--..--.--.--cycle; % fill gray! .--..----cycle; % fill gray! ..--.--.--cycle; %Aufgabe fill blue .. rectangle ..; %Hindernis draw blue ..--. node below left small Hindernis; draw red thick rectangle . .; %Schirm node red at .-. Schirm; fill gray rectangle ..; %Halbschatten fill . rectangle ..; %Kernschatten fill gray . rectangle ..; %Halbschatten tikzpicture figure
Solution:
Konstruktion und Beschriftung: figureH centering tikzpicture cross/.stylepath picture drawblack path picture bounding box.south east -- path picture bounding box.north west path picture bounding box.south west -- path picture bounding box.north east; draw ystep.xstep.colorgray! grid .; %fill circle .; %Lösung node draw circle cross minimum width.cm fillyellow! at .. ; node draw circle cross minimum width.cm fillyellow! at .. ; draw shorten -mmdensely dash dot ..--..; draw shorten -mmdensely dash dot ..--..; draw shorten -.mmdensely dash dot ..--..; draw shorten -mmdensely dash dot ..--..; fill black! ..--..--.--.--cycle; fill gray! .--..----cycle; fill gray! ..--.--.--cycle; %Aufgabe fill blue .. rectangle ..; %Hindernis draw blue ..--. node below left small Hindernis; draw red thick rectangle . .; %Schirm node red at .-. Schirm; fill gray rectangle .. noderightmidwayblack! small Halbschatten; %Halbschatten fill . rectangle .. noderightmidway small Kernschatten; %Kernschatten fill gray . rectangle .. noderightmidwayblack! small Halbschatten; %Halbschatten tikzpicture figure Hinweis: Die Schattenzonen zwischen Hindernis und Schirm müssen nicht zwing eingezeichnet werden!
Ein Hindernis wirft die nachsteh skizzierten Schatten auf einen Schirm. Ermittle durch Konstruktion die Lage der Lampen und zeichne diese ein. Wie heissen die Schattenzonen? figureH centering tikzpicture cross/.stylepath picture drawblack path picture bounding box.south east -- path picture bounding box.north west path picture bounding box.south west -- path picture bounding box.north east; draw ystep.xstep.colorgray! grid .; %fill circle .; %Lösung % node draw circle cross minimum width.cm fillyellow! at .. ; % node draw circle cross minimum width.cm fillyellow! at .. ; % draw shorten -mmdensely dash dot ..--..; % draw shorten -mmdensely dash dot ..--..; % draw shorten -.mmdensely dash dot ..--..; % draw shorten -mmdensely dash dot ..--..; % fill black! ..--..--.--.--cycle; % fill gray! .--..----cycle; % fill gray! ..--.--.--cycle; %Aufgabe fill blue .. rectangle ..; %Hindernis draw blue ..--. node below left small Hindernis; draw red thick rectangle . .; %Schirm node red at .-. Schirm; fill gray rectangle ..; %Halbschatten fill . rectangle ..; %Kernschatten fill gray . rectangle ..; %Halbschatten tikzpicture figure
Solution:
Konstruktion und Beschriftung: figureH centering tikzpicture cross/.stylepath picture drawblack path picture bounding box.south east -- path picture bounding box.north west path picture bounding box.south west -- path picture bounding box.north east; draw ystep.xstep.colorgray! grid .; %fill circle .; %Lösung node draw circle cross minimum width.cm fillyellow! at .. ; node draw circle cross minimum width.cm fillyellow! at .. ; draw shorten -mmdensely dash dot ..--..; draw shorten -mmdensely dash dot ..--..; draw shorten -.mmdensely dash dot ..--..; draw shorten -mmdensely dash dot ..--..; fill black! ..--..--.--.--cycle; fill gray! .--..----cycle; fill gray! ..--.--.--cycle; %Aufgabe fill blue .. rectangle ..; %Hindernis draw blue ..--. node below left small Hindernis; draw red thick rectangle . .; %Schirm node red at .-. Schirm; fill gray rectangle .. noderightmidwayblack! small Halbschatten; %Halbschatten fill . rectangle .. noderightmidway small Kernschatten; %Kernschatten fill gray . rectangle .. noderightmidwayblack! small Halbschatten; %Halbschatten tikzpicture figure Hinweis: Die Schattenzonen zwischen Hindernis und Schirm müssen nicht zwing eingezeichnet werden!
Contained in these collections:
Original exercise: Hindernis aus Schatten konstruieren by rb ( | | )

