Conic Section Explorations

Before we explore conic section types in GeoGebra Augmented Reality, let's explore them first in GeoGebra 3D Graphing Calculator app!

1.

[b][color=#ff00ff]Note the equation of the plane is z = some constant. [br][br][/color][/b][color=#ff00ff]Change the equation of this pink plane to z = 2. Then change it to z = 1. Then change it to z = 4. [/color][br][br]How would you describe the intersection of this [b][color=#ff00ff]plane[/color][/b] and [b][color=#1e84cc]cone[/color][/b]?

2.

Change the [b][color=#ff00ff]equation of the plane[/color][/b] to [math]z=x+1[/math]. How would you describe the intersection of this [b][color=#ff00ff]plane[/color][/b] and [b][color=#1e84cc]cone[/color][/b] now?

3.

Now change the [b]equation of the plane [/b]to [math]z=0.5x+2.5[/math]. How would you describe the intersection of this [b][color=#ff00ff]plane[/color][/b] and [b][color=#1e84cc]cone[/color][/b] now?

4.

Change the [b][color=#ff00ff]equation of the plane[/color][/b] to [math]z=3x+1.5[/math]. How would you describe the intersection of this [b][color=#ff00ff]plane[/color][/b] and [b][color=#1e84cc]cone[/color][/b] now?

Conic Section Explorations

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Now let's explore these conic sections in GeoGebra Augmented Reality! (Silent "how-to" screencast)

Also: Quick Summary of All Conic Section Types & How They're Formed

Information: Conic Section Explorations