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* Establecer, en el [[Menú Apariencias]], la de '''''Geometría'''''. | * Establecer, en el [[Menú Apariencias]], la de '''''Geometría'''''. | ||
* Establecer que el '''Rotulado''' se aplique a '''Sólo los Nuevos Puntos''' en el [[Menú de Opciones]]). | * Establecer que el '''Rotulado''' se aplique a '''Sólo los Nuevos Puntos''' en el [[Menú de Opciones]]). | ||
+ | |||
+ | <h1>Chiquicientos_1</h1> | ||
+ | <h3>Liliana Saidón de Cenro Babbage</h3> | ||
+ | <table border="1"> | ||
+ | <tr> | ||
+ | <th>Nº</th> | ||
+ | <th>Nombre</th> | ||
+ | <th>Herramienta</th> | ||
+ | <th>Definición</th> | ||
+ | </tr> | ||
+ | <tr valign="baseline"> | ||
+ | <td><span style="color:#006400">1</span></td> | ||
+ | <td><span style="color:#006400">Punto A<sub><font size="-1">a</font></sub></span></td> | ||
+ | <td><span style="color:#006400">[[Archivo:Tool New Point.gif]] | ||
+ | <td> | ||
+ | <tr valign="baseline"> | ||
+ | <td><span style="color:#006400">2</span> | ||
+ | <td><span style="color:#006400">Punto B<sub><font size="-1">a</font></sub></span> | ||
+ | <td><span style="color:#006400">[[Archivo:Tool New Point.gif]] | ||
+ | <td> | ||
+ | <tr valign="baseline"> | ||
+ | <td><span style="color:#006400">3</span> | ||
+ | <td><span style="color:#006400">Recta r<sub><font size="-1">a</font></sub></span> | ||
+ | <td><span style="color:#006400">[[Archivo:Tool Line through Two Points.gif]] | ||
+ | <td><span style="color:#006400">Recta que pasa por A<sub><font size="-1">a</font></sub>, B<sub><font size="-1">a</font></sub></span> | ||
+ | <tr valign="baseline"> | ||
+ | <td><span style="color:#993300">4</span> | ||
+ | <td><span style="color:#993300">Punto A</span> | ||
+ | <td><span style="color:#993300">[[Archivo:Tool New Point.gif]] | ||
+ | <td><span style="color:#993300">Punto sobre r<sub><font size="-1">a</font></sub></span> | ||
+ | <tr valign="baseline"> | ||
+ | <td><span style="color:#CC6600">5</span> | ||
+ | <td><span style="color:#CC6600">Número l<sub><font size="-1">ado<sub><font size="-1">1</font></sub></font></sub></span> | ||
+ | <td><span style="color:#CC6600">[[Archivo:Tool Slider.gif]] | ||
+ | <td> | ||
+ | <tr valign="baseline"> | ||
+ | <td><span style="color:#006400">6</span> | ||
+ | <td><span style="color:#006400">CampoDeTexto Longirud</span> | ||
+ | <td><span style="color:#006400">[[Archivo:Tool Insert Textfield.gif]] | ||
+ | <td><span style="color:#006400">CasillaDeEntrada[l<sub><font size="-1">ado<sub><font size="-1">1</font></sub></font></sub>]</span> | ||
+ | <tr valign="baseline"> | ||
+ | <td><span style="color:#006400">7</span> | ||
+ | <td><span style="color:#006400">Semirrecta a<sub><font size="-1">a</font></sub></span> | ||
+ | <td><span style="color:#006400">[[Archivo:Tool Ray through Two Points.gif]] | ||
+ | <td><span style="color:#006400">Semirrecta que pasa por Traslada[A, Vector[l<sub><font size="-1">ado<sub><font size="-1">1</font></sub></font></sub> VectorUnitarioPerpendicular[r<sub><font size="-1">a</font></sub>]]] con dirección VectorUnitarioPerpendicular[r<sub><font size="-1">a</font></sub>]</span> | ||
+ | <tr valign="baseline"> | ||
+ | <td><span style="color:#006400">8</span> | ||
+ | <td><span style="color:#006400">Punto C<sub><font size="-1">a</font></sub></span></td> | ||
+ | <td><span style="color:#006400">[[Archivo:Tool New Point.gif]] | ||
+ | <td><span style="color:#006400">Punto sobre a<sub><font size="-1">a</font></sub></span> | ||
+ | <tr valign="baseline"> | ||
+ | <td><span style="color:#006400">9</span> | ||
+ | <td><span style="color:#006400">Arco e</span> | ||
+ | <td><span style="color:#006400">[[Archivo:Tool Circle Arc Center 2Points.gif]] | ||
+ | <td><span style="color:#006400">ArcoCircunferencia[C<sub><font size="-1">a</font></sub>, Traslada[C<sub><font size="-1">a</font></sub>, Vector[l<sub><font size="-1">ado<sub><font size="-1">1</font></sub></font></sub> VectorUnitario[r<sub><font size="-1">a</font></sub>]]], Traslada[C<sub><font size="-1">a</font></sub>, Vector[l<sub><font size="-1">ado<sub><font size="-1">1</font></sub></font></sub> VectorUnitarioPerpendicular[r<sub><font size="-1">a</font></sub>]]]]</span> | ||
+ | <tr valign="baseline"> | ||
+ | <td><span style="color:#993300">10</span> | ||
+ | <td><span style="color:#993300">Punto B</span> | ||
+ | <td><span style="color:#993300">[[Archivo:Tool New Point.gif]] | ||
+ | <td><span style="color:#993300">Traslada A por l<sub><font size="-1">ado<sub><font size="-1">1</font></sub></font></sub> VectorUnitario[r<sub><font size="-1">a</font></sub>]</span> | ||
+ | <tr valign="baseline"> | ||
+ | <td><span style="color:#006400">11</span> | ||
+ | <td><span style="color:#006400">Punto D<sub><font size="-1">a</font></sub></span> | ||
+ | <td><span style="color:#006400">[[Archivo:Tool New Point.gif]] | ||
+ | <td><span style="color:#006400">Punto sobre e</span> | ||
+ | <tr valign="baseline"> | ||
+ | <td><span style="color:#006400">12</span> | ||
+ | <td><span style="color:#006400">Semirrecta b<sub><font size="-1">a</font></sub></span> | ||
+ | <td><span style="color:#006400">[[Archivo:Tool Ray through Two Points.gif]] | ||
+ | <td><span style="color:#006400">Semirrecta que pasa por C<sub><font size="-1">a</font></sub>, D<sub><font size="-1">a</font></sub></span> | ||
+ | <tr valign="baseline"> | ||
+ | <td><span style="color:#006400">13</span> | ||
+ | <td><span style="color:#006400">Semirrecta c<sub><font size="-1">a</font></sub></span> | ||
+ | <td><span style="color:#006400">[[Archivo:Tool Ray through Two Points.gif]] | ||
+ | <td><span style="color:#006400">Semirrecta que pasa por D<sub><font size="-1">a</font></sub> con dirección VectorUnitario[b<sub><font size="-1">a</font></sub>]</span> | ||
+ | <tr valign="baseline"> | ||
+ | <td><span style="color:#993300">14</span> | ||
+ | <td><span style="color:#993300">Punto C</span> | ||
+ | <td><span style="color:#993300">[[Archivo:Tool New Point.gif]] | ||
+ | <td><span style="color:#993300">Punto sobre c<sub><font size="-1">a</font></sub></span> | ||
+ | <tr valign="baseline"> | ||
+ | <td><span style="color:#993300">15</span> | ||
+ | <td><span style="color:#993300">Punto D</span> | ||
+ | <td><span style="color:#993300">[[Archivo:Tool New Point.gif]] | ||
+ | <td><span style="color:#993300">Punto sobre Segmento[C<sub><font size="-1">a</font></sub>, Traslada[C, Vector[-l<sub><font size="-1">ado<sub><font size="-1">1</font></sub></font></sub> VectorUnitario[b<sub><font size="-1">a</font></sub>]]]]</span> | ||
+ | <tr valign="baseline"> | ||
+ | <td><span style="color:#006666">16</span> | ||
+ | <td><span style="color:#006666">Cuadrilátero cua</span> | ||
+ | <td><span style="color:#006666">[[Archivo:Tool Polygon.gif]] | ||
+ | <td><span style="color:#006666">Polígono A, B, C, D</span> | ||
+ | <tr valign="baseline"> | ||
+ | <td><span style="color:#006400">17</span> | ||
+ | <td><span style="color:#006400">Recta f</span> | ||
+ | <td><span style="color:#006400">[[Archivo:Tool Line through Two Points.gif]] | ||
+ | <td><span style="color:#006400">Recta que pasa por B, C</span> | ||
==Regular Hexagon Construction== | ==Regular Hexagon Construction== |
Revisión del 17:44 30 jun 2012
Chiquicientas formas de Trazar un Cuadrado
Para algunas de las posibles construcciones del cuadrado se suelen emplear herramientas como las listadas. Conviene, antes de ponerlas en juego en alguna de las variantes de trazado que se intenten, llegar a dominar su empleo:
Elige y Mueve | |
Polígono Regular | |
Expone / Oculta Objeto | |
Desplaza Vista Gráfica |
Preparativos
- Abrir una Nueva Ventana desde el Menú Archivo
- Establecer, en el Menú Apariencias, la de Geometría.
- Establecer que el Rotulado se aplique a Sólo los Nuevos Puntos en el Menú de Opciones).
Chiquicientos_1
Liliana Saidón de Cenro Babbage
Nº | Nombre | Herramienta | Definición | |||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||
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1 | Punto Aa | |||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||
2 | Punto Ba | |||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||
3 | Recta ra | Recta que pasa por Aa, Ba | ||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||
4 | Punto A | Punto sobre ra | ||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||
5 | Número lado1 | |||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||
6 | CampoDeTexto Longirud | CasillaDeEntrada[lado1] | ||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||
7 | Semirrecta aa | Semirrecta que pasa por Traslada[A, Vector[lado1 VectorUnitarioPerpendicular[ra]]] con dirección VectorUnitarioPerpendicular[ra] | ||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||
8 | Punto Ca | Punto sobre aa | ||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||
9 | Arco e | ArcoCircunferencia[Ca, Traslada[Ca, Vector[lado1 VectorUnitario[ra]]], Traslada[Ca, Vector[lado1 VectorUnitarioPerpendicular[ra]]]] | ||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||
10 | Punto B | Traslada A por lado1 VectorUnitario[ra] | ||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||
11 | Punto Da | Punto sobre e | ||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||
12 | Semirrecta ba | Semirrecta que pasa por Ca, Da | ||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||
13 | Semirrecta ca | Semirrecta que pasa por Da con dirección VectorUnitario[ba] | ||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||
14 | Punto C | Punto sobre ca | ||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||
15 | Punto D | Punto sobre Segmento[Ca, Traslada[C, Vector[-lado1 VectorUnitario[ba]]]] | ||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||
16 | Cuadrilátero cua | Polígono A, B, C, D | ||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||
17 | Recta f | Recta que pasa por B, C
Regular Hexagon ConstructionIn this activity you are going to use the following tools. Make sure you know how to use each tool before you begin with the actual construction of the hexagon:
Preparations
Construction Steps
Aviso: Which radius do the circles have and why?
Circumscribed Circle of a Triangle ConstructionIn this activity you are going to use the following tools. Make sure you know how to use each tool before you begin with the actual construction of the circumscribed circle:
Preparations
Construction Steps
Back to school...Modify your construction to answer the following questions:
Visualize the Theorem of ThalesBack to school...Before you begin this construction, check out the dynamic worksheet called Theorem_Thales.html in order to see how students could rediscover what the Greek philosopher and mathematician Thales found out about 2600 years ago. In this activity you are going to use the following tools. Make sure you know how to use each tool before you begin with the actual construction:
Preparations
Construction Steps
Try to come up with a graphical proof for this theorem. Aviso: Create midpoint O of segment AB and display the radius OC as a segment.
Constructing Tangents to a CircleDiscussion
What if my Mouse and Touchpad wouldn’t work?Imagine your mouse and / or touchpad stop working while you are preparing GeoGebra files for tomorrow’s lesson. How can you finish the construction file? GeoGebra offers algebraic input and commands in addition to the geometry tools. Every tool has a matching command and therefore could be applied without even using the mouse. Nota: GeoGebra offers more commands than geometry tools. Therefore, not every command has a corresponding geometry tool!
TaskCheck out the list of commands next to the Input Bar and look for commands whose corresponding tools were already introduced in this workshop. As you saw in the last activity, the construction of tangents to a circle can be done by using geometric construction tools only. You will now recreate this construction by just using keyboard input. Preparations
Construction Steps
Nota: GeoGebra distinguishes between free and dependent objects. While free objects can be directly modified either using the mouse or the keyboard, dependent objects adapt to changes of their parent objects. Thereby, it is irrelevant in which way (mouse or keyboard) an object was initially created!
Task 1Activate Move mode and double click an object in the Algebra View in order to change its algebraic representation using the keyboard. Hit the Enter key once you are done. Task 2You can use the arrow keys in order to move free objects in a more controlled way. Activate Move mode and select the object (e.g. a free point) in either window. Press the up / down or left / right arrow keys in order to move the object into the desired direction.
Checking and Enhancing the Construction
Discussion
Exploring Parameters of a Quadratic PolynomialBack to schoolIn this activity you will explore the impact of parameters on a quadratic polynomial. You will experience how GeoGebra could be integrated into a "traditional" teaching environment and used for active, student-centered learning. Preparations
Construction Steps
Discussion
Using Sliders to Modify ParametersLet’s try a more dynamic way of exploring the impact of a parameter on a polynomial f(x) = a x^2 by using a slider to modify the parameter value. Preparations
Construction Steps
Tips and Tricks1. Name a new object by typing name = into the input bar in front of its algebraic representation.Ejemplo: P = (3, 2) creates point P.
2. Multiplication needs to be entered using an asterisk or space between the factors. Ejemplo: a*x or a x
3. GeoGebra is case sensitive! Thus, upper and lower case letters must not be mixed up.
4. If you want to use an object within an algebraic expression or command you need to create the object prior to using its name in the input bar.
5. Confirm an expression you entered into the input bar by pressing the Enter key. 6. Open the help window for using the input bar and commands by selecting Help from the Help Menu (or shortcut F1). 7. Error messages: Always read the messages – they could possibly help to fix the problem! 8. Commands can be typed in or selected from the list next to the Input Bar. Aviso: If you don’t know which parameters are required within the brackets of a certain command, type in the full command name and press key F1 to open the GeoGebra Wiki.
9. Automatic completion of commands: After typing in the first two letters of a command into the Input Bar, GeoGebra tries to complete the command.
Challenge of the Day: Parameters of PolynomialsUse the file created in the last activity in order to work on the following tasks:
Write down your observations.
Básicos de Centro Babbage - IG- Argentina Liliana Saidon - Hoy |