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Introduction to FX Draw 4

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Introduction to FX Draw 4 Powered By Docstoc
					Introduction to FX Draw 4
Flyout Toolbars
   Any tool with a red triangle hides a “flyout” toolbar containing extra
    tools. Click and hold the left mouse button for > 1 second.
GAD - Geometrically
Aware Drawing
   FX Draw provides dynamic feedback that shows the geometric
    relationships in your drawing.


                                                          Make sure
                                                         that GAD is
                                                          turned on!
GAD Has A Memory!
   Any relationships that you have created with GAD are
    remembered. Move the base object and all relationships
    are maintained.




                                        47°



                                              47°
Right Click
   Most figures have extra properties that can be accessed
    by right-clicking on the figure.
Figure Information
   If you select a figure (anything you have drawn) and then
    hover the mouse near that figure, FX Draw will display
    some information about that figure.
Annotations
   When FX Draw is displaying figure information, right click
    your mouse. You are given the opportunity to add an
    annotation.
   Annotations are dynamically updated as the figure
    changes.
Three Point Circles
   Many tools require that the object be defined by three
    points – triangles, three point arcs, three point ellipses,
    three point circles. A good way to practice using these
    tools is to draw a circumcircle using the three point circle
    tool.
Using the Compass
   FX Draw 4 adds a Compass tool that works just like the
    normal, centre point / point on radius tool, but then
    remembers the radius so the second and subsequent
    circles have the same radius.



                                  Use the Compass tool
                                  to draw this “daisy”.
Marking Angles
   FX Draw 4 can mark angles with one-click. If you right-
    click on a marked angle, you can select from 10 different
    angle marking options.
   Angle marks are dynamic. Move the lines and the
    angles are re-measured.



        42°
Rulers & Protractors
   The ruler and protractor tools let you demonstrate
    measurements on paper and on screen.

                                                                        80          100 1
                                                                   70                     10
                                                              60             0
                                                                               90              12
                                                                                                 0
                                                                                                    13
                                                                         10         80 7
                                                    50               110                0              0
                                                                  20                        60
                                                               0 1                               50




                                                                                                           14
                                                             3




                                              40
                                                         1




                                                                                                                0
                                                    0
                                                   14




                                                                                                                    15
                                                                                                    40
                                        30




                                                                                                                    0
                                              0
                                              15




                                                                                                           30


                                                                                                                         160
                                       20
                                     160




                                                                                                            20


                                                                                                                           170
                                    180 170
                                         10




                                                                                                                10
       0




                                                                                                                               180
           10
                                     0




                                                                                                                0
                20
                     30
                          40
                               50
The Mathematics Tools
   Function Graphs
   Statistical Graphs
   Normal Distribution Curves
   Venn Diagrams
   Number Lines
   Grids and Dots
   Unit Circle
   Tree Diagrams
   Clocks
Function Graphs
       The function graphs tool lets you draw just about any
        graph that can be defined by a function
        Cartesian Functions               Conic Sections
        Inverse Functions                 Shaded Integrals
        Polar Functions                   Points and Vectors
        Parametric Functions              Tangent Lines
        Implicitly Defined Functions      Constants and Animations
        Systems of Inequations            Complex Numbers
Quick Entry Screen
Cartesian Functions
   Enter functions in terms of x (y = is optional). FX Draw
    can quickly find and annotate points of interest on the
    graph.
                                                    y
         Poin t of In tersectio n                                                                     y
                                          10
         ( 2.9 25852 , 6.925852 )                                                                 2
                                                                                               1.5
                                                                                                  1
                                                                                               0.5
                                                5        3
                                                        x – 2x – 1
                                                                         2

                                                                                                                2          4   5   2   x
                                                                                               -0.5
                                                                                                            3    3            3    3
                                                                                                 -1
                                                                                               -1.5
      - 10                          -5                           5                    10   x     -2




                                           -5
                                                             Local Min imum
                                                             ( 1.3 333 , -2.1 852 )                       Axes in terms
                                         - 10                                                                 of π
Inverse Functions
   Enter functions in terms of y (x = is optional).
                                     y

                           10
                                         y + 3y – 4
                                          2
                                                  y

                                 5




            - 10    -5                    5           10   x



                            -5




                          - 10
 Polar Functions
      Enter in terms of r and th (FX Draw converts th into θ).
       Inverse polar functions are supported.
                      y                                                    y
                10                                                   10
                                                                                = r + 2 sin r
                          r = 8 sin 5 
                  5                                                    5




- 10      -5                    5             10    x   - 10   -5                5       10   x

                                    r = 5 cos 3 
                 -5                                                   -5



               - 10                                                 - 10
Parametric Functions
   Enter as x = f(t); y = f(t)

                         x = 10 sin      t ; y = 10 cos   3t
                                                 y

                                       10



                                             5




                  - 10      -5                       5         10   x



                                        -5



                                      - 10
Implicitly Defined
Functions
              2           2                      2             2
         (x       + 2y        – 2 )(2 x                  + y       – 2) +   20
                                                                              1   = 0
                                                         y


                                           1.5


                                                     1


                                           0.5



          - 1.5      -1          - 0.5                             0.5      1       1.5   x


                                         - 0.5


                                                 -1


                                         - 1.5
Systems of Inequations
                y

       20




       15




       10




            5




                    5   10   15   20   x
Conic Sections
                                                 y
           2            2
  ( 2 x + 4 ) + ( y – 4 ) = 40          10




                                             5




                - 10             -5                  5                      10   x




                                         -5
                                                             2         2
                                                         x       – y       + 4x – 2y – 7 = 0


                                      - 10
Shaded Integrals
   FX Draw can shade integrals using a click & drag system
    – and annotate what it has shaded!
                            y

                  10




                        5




     - 10   -5                                 5        10   x



                   -5
                                    4.372281
                                                   2
                                                  x – 2 x – 3 – [ x + 3 ] d x = -31.595063
                                  – 1.372281
                 - 10           Area = 31.5951
Points & Vectors
   Enter points as (x,y), vectors as <x,y>. You can join
    points and vectors using the “+” sign.
                         y                                   y
                   10                                  10


                     5                                   5



      - 10   -5              5   10   x   - 10   -5              5   10   x

                    -5                                  -5


                  - 10                                - 10
Constants & Animations
   Placing a, b, c, d or m into an equation allows you to modify the
    function dynamically. You can even put them into the bounds of
    integrals.
Statistical Graphs
   FX Draw 4 supports a large number of statistical graph
    types.

       Box & Whisker Plots          Column Graphs
       Dot Frequency Diagrams       Cumulative Frequency Plots
       Histograms                   Frequency Polygons
       Back-to-back Histograms      Residuals Graph
       Scattergraphs                Stem & Leaf Graph
       Line Graphs & MPA            Triangular Graph
       Bar Graphs
Statistics Graph
Properties
Data Generators
   FX Draw 4 includes handy data generators that can save
    you hours of time. Just fill in the blanks and push OK.
Box Plot Example Part 1
   Use the Normal Random Number Generator to generate
    some data into Column A – and then use the generator
    again to generate data with a different mean and
    standard deviation into Column B
Box Plot Example Part 2
   Choose Quick Graph from the Right Click Menu on
    Columns A and B.

                    Then press the Graph Type button and
                    choose a box plot
Box Plot Example Part 3




 0    20   40   60   80   100
Other Statistical
Functions
   FX Draw’s statistics tool can also:
       Produce summary statistics for one variable and two variable
        data
       Perform regression analysis for seven regression models
       Handle grouped data and frequency tables
       Produce frequency tables, cumulative frequency tables and
        grouped data from raw data
       Transform data using a variety of functions
Normal Distribution
Curves
    The normal distribution curve tool gives you quick
     access to shaded normal distribution curves. You can
     also add annotations to the curves.




              0.4
                                                      P(z < -2) = 0.0228
                        P(-1 < z < 1) = 0.6827
                                                      P(z > 1.5) = 0.0668
              0.2



    -4   -2         2           4         -4     -2   2         4
Venn Diagrams


                                                                      200

                            60
                                                 20
                                  50                             60
                                                 10
                                       10                   0
   40   20   20   10   30                        10
                                            20         40
                                       30                   50
                                                 70
                             10


                                                 140
                                                                      40
Number Lines
   Enter functions onto the number lines as x <= 10, x <> 4,
    x = 5, x > 3.
   Number lines can be horizontal or vertical.

                                                               5

                                                               4

                                                               3

                                                               2

                                                               1

                                                               0
             -5   -4   -3   -2   -1   0   1   2   3   4   5
                                                              -1

                                                              -2

                                                              -3

                                                              -4

                                                              -5
Grid / Dot Papers
   FX Draw can produce a wide
    variety of grid and dot papers.
Unit Circle
   The Home Key, Page Up, Page Down, Up Arrow and
    Down Arrow keys can be used to animate a unit circle.
Tree Diagrams
   Enter a tree’s “shape” using the number of branches at
    each level. For example, this tree is 4,3,2.
Gallery Images
   Gallery images provide hundreds of pre-drawn images
    that you can use as the basis for your own diagrams.
Gallery Tips 1
   Gallery images have “direction”. This means that each
    gallery image can be used in many different ways.
   Each of these images has come from the same “base”
    gallery image.
Gallery Tips 2
   After you have drawn a gallery image, you can “ungroup”
    it (Ungroup from the Edit menu). This gives you access
    to the individual components of the image and lets you
    modify it to suit your needs.
Email Tutorials
   Efofex provides comprehensive training for FX Draw 4
    available as convenient email tutorials. Register at
    www.efofex.com/emailtutes.php. The system will send
    an email a day for a few weeks.
   Email tutorials are available for all Efofex products.

				
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posted:12/4/2012
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Lingjuan Ma Lingjuan Ma
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