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GeoGebra Quickstart - www.geogebra.at 1
GeoGebra Quickstart GeoGebra
GeoGebra
GeoGebra
g: 3x + 4y = 7
c: (x – 2)2 + (y – 3)2 = 25 GeoGebra
GeoGebra
Example 1:
Example 2:
Example 3:
GeoGebra ( )
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1:
: A, B, C GeoGebra
“Polygon” ( )
A B C A
“Line bisector”
“Intersect two objects”
“Rename”
“M”
“Circle with center trough point”
“Move” – “ ”
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“Edit” “Undo”
“Show object”
( ...):
“Properties”
“View”
“Move drawing pad”
“View – ”
( “Help”)
“View”
“Help” “Geometric input”
(
“File – New”)
A = (2, 1) B = (12, 5) C = (8, 11) Polygon[A, B, C] l_a = LineBisector[a] l_b = LineBisector[b] M = Intersect[l_a, l_b] Circle[M, A]
“Input“ ( ) “Input field”
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GeoGebra
2:
: GeoGebra c: (x - 3)² + (y - 2)² = 25 A = (11, 4)
c : (x - 3)² + (y - 2)² = 25 ( :
2 ) C = Center[c] A = (11, 4) A
“Tangents“ A c
“Move“ A
c
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/
“Help “ “Algebraic input “
3:
: GeoGebra f(x) = sin(x) f
:
f(x) = sin(x)
“New Point“ f f A
“Tangents“ A f t (
“Rename”) s = Slope[t]
“Move“ A
B = (x(A), s) ( B)
“Move“ A – B
Derivative[f]
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f(x) = x³ - 2x²
“Move“
: x = a
“File – New”
f(x) = sin(x) a = 2 T = (a, f(a)) t = Tangent[a, f] s = Slope[t] B = (x(T), s) Derivative[f]
“Move“ a a T
f
: a “show
object”
: y = x² + p x + q
p q
GeoGebra Tangent[]
t “Delete”
v = (1, f'(a)) t: X = T + r v
v t r
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: t = Line[T, v]
Integral[f]
“Help“ “Algebraic input – commands“ GeoGebra
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