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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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Page 1: GeoGebraQuickstart zh v25 · GeoGebra Quickstart -  1 GeoGebra Quickstart GeoGebra GeoGebra GeoGebra g: 3x + 4y = 7 c: (x – 2) 2 + (y – 3) 2 = 25 GeoGebra

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 ( )

Page 2: GeoGebraQuickstart zh v25 · GeoGebra Quickstart -  1 GeoGebra Quickstart GeoGebra GeoGebra GeoGebra g: 3x + 4y = 7 c: (x – 2) 2 + (y – 3) 2 = 25 GeoGebra

GeoGebra Quickstart - www.geogebra.at 2

1:

: A, B, C GeoGebra

“Polygon” ( )

A B C A

“Line bisector”

“Intersect two objects”

“Rename”

“M”

“Circle with center trough point”

“Move” – “ ”

Page 3: GeoGebraQuickstart zh v25 · GeoGebra Quickstart -  1 GeoGebra Quickstart GeoGebra GeoGebra GeoGebra g: 3x + 4y = 7 c: (x – 2) 2 + (y – 3) 2 = 25 GeoGebra

GeoGebra Quickstart - www.geogebra.at 3

“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”

Page 4: GeoGebraQuickstart zh v25 · GeoGebra Quickstart -  1 GeoGebra Quickstart GeoGebra GeoGebra GeoGebra g: 3x + 4y = 7 c: (x – 2) 2 + (y – 3) 2 = 25 GeoGebra

GeoGebra Quickstart - www.geogebra.at 4

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

Page 5: GeoGebraQuickstart zh v25 · GeoGebra Quickstart -  1 GeoGebra Quickstart GeoGebra GeoGebra GeoGebra g: 3x + 4y = 7 c: (x – 2) 2 + (y – 3) 2 = 25 GeoGebra

GeoGebra Quickstart - www.geogebra.at 5

/

“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]

Page 6: GeoGebraQuickstart zh v25 · GeoGebra Quickstart -  1 GeoGebra Quickstart GeoGebra GeoGebra GeoGebra g: 3x + 4y = 7 c: (x – 2) 2 + (y – 3) 2 = 25 GeoGebra

GeoGebra Quickstart - www.geogebra.at 6

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

Page 7: GeoGebraQuickstart zh v25 · GeoGebra Quickstart -  1 GeoGebra Quickstart GeoGebra GeoGebra GeoGebra g: 3x + 4y = 7 c: (x – 2) 2 + (y – 3) 2 = 25 GeoGebra

GeoGebra Quickstart - www.geogebra.at 7

: t = Line[T, v]

Integral[f]

“Help“ “Algebraic input – commands“ GeoGebra

GeoGebra’s (pdf- ) www.geogebra.at

Page 8: GeoGebraQuickstart zh v25 · GeoGebra Quickstart -  1 GeoGebra Quickstart GeoGebra GeoGebra GeoGebra g: 3x + 4y = 7 c: (x – 2) 2 + (y – 3) 2 = 25 GeoGebra

GeoGebra Quickstart - www.geogebra.at 8

GeoGebra’s www.geogebra.at

GeoGebra

GeoGebra ( Fire-

fox Netscape Internet Explorer) GeoGebra

GeoGebra www.geogebra.at

GeoGebra www.geogebra.at/forum

GeoGebraWiki - www.geogebra.at/en/wiki

GeoGebra

[email protected]

[email protected]