GeoGebra 是一款结合“几何”、“代数”与“微积分”的动态数学软件，它是由美国佛罗里达州亚特兰大学的数学教授 Markus Hohenwarter 所设计的。 一方面来说，GeoGebra 是一个动态的几何软件，您可以在上面画点、向量、线段、直线、多边形、圆锥曲线，甚至是函数，事后您还可以改变它们的属性；另一方面来说，您也可以直接输入方程和点坐标。所以，GeoGebra 也有处理变数的能力（这些变数可以是一个数字、角度、向量或点座标），它也可以对函数作微分与积分，找出方程的根或计算函数的极大极小值。 此软件特别适合中学教师教授几何和小学生学习几何之用 GeoGebra 4.4.6 Final 39.8Mb GeoGebra – is a complex mathematical application for those that study or work with arithmetic, geometry, algebra and calculus. Its a rather complex application that’s aimed strictly at those comfortable with complex maths but the advantage GeoGebra offers over similar apps is that it provides multiple representations of objects that are all dynamically linked. The idea behind GeoGebra is to connect geometric, algebraic, and numeric representations in an interactive way. Here are some key features of “GeoGebra”: · Captions enabled for all objects · New option “Force Reflex Angle” forces angles to be between 180 and 360 degrees · Pressing toggles the focus between the Input Bar and the Graphics View · Improvements to the way translation works · Dynamic colors (Properties -> Advanced tab). Set a function with range [0,1] for each color component (red, green, blue) · Option for the grid to be bold · Thumbnail saved in GGB files. · Worksheets resized if they were saved on a larger screen · Isometric grid · Comparing objects of different types doesn’t return an error, can now compare Text and Image objects · If the Points Export_1 and Export_2 exist, they will be used to define the export rectangle (Export_1 and Export_2 must be within the visible area) · Checkbox now consistent across all platforms · Options -> Checkbox Size -> Regular/Large · Perpendicular check added to “Relation between two objects” Tool · Messages from “Relation between two objects” Tool rewritten · Angular Bisector Command and Tool renamed to Angle Bisector · Line Bisector Command and Tool renamed to Perpendicular Bisector · BMP import · Unicode fonts used in LaTeX equations · LaTeX equations exported at full resolution · in SVG and PDF export, option to export text as editable text or shapes. Stores the text either as text (lets you edit the text in eg InkScape) or as bezier curves (ie guaranteed to look the same even if the correct font is not installed). · support for inline equations and linefeeds in LaTeX eg “if x=9 find $ sqrt{ x } $” · Angle entered in rotate dialog box is remembered (if it is in degrees) · Show All Objects in Graphics View menu · Option for up to 15 decimal places · x^0, x^1, x^7, x^8, x^9 now displayed nicely · PGF/TikZ export · added degree symbol to axes units · new command-line parameter: –antiAliasing=off · defines e to be the Euler number when used in expressions (unless it has already been defined to something else) · templates for 2×2 and 3×3 matrix in LaTeX drop-down menu · Option to display numbers as Significant Figures (3,5,10,15) · New options Edit -> Select Descendents/Select Ancestors · Double-click on an object in the Graphics View opens the redefine dialog, which now has a button to open the Properties dialog as well as ‘OK’ and ‘Apply’ buttons · “Input Field” renamed to “Input Bar” · “Algebra window” renamed to “Algebra View” · “Graphics window” renamed to “Graphics View” · Algorithm to decide which point to select added (rather than popping up a menu) · Points in the form (a, b), (a + c, b + d) and (a + x(A), b + x(B)) are draggable (the variables a & b are updated accordingly) · Ctrl + to zoom in, Ctrl – to zoom out · New menu option “Recompute all Objects (F9)” which updates all the random numbers · Set point style for lists of points · Set line style for lists of lines · Set filling style for lists of eg circles, polygons · Set text style for lists of texts · Animation of sliders · f’(x) is automatically named f’(x) [ ie you can type just f'(x) rather than f'(x) = f'(x) ] · Shift-right drag will now allow a zoom that allows the aspect ratio to change · you can now set the line thickness of polygons created with eg Sequence[Polygon[(i,i),(i+1,i),(i+1,i+1)],i,1,3] · polygons can now have line thickness 0 (ie no edges) · In Captions, %v is replaced by the value and %n by the name, eg “The value of %n is %v” · Captions can now be surrounded by <b>…</b> or <i>…</i> to get bold or italic · Alt-click or F3: copy definition of selected object to the Input Bar · F4: copy value of selected object to the Input Bar · F5: copy name of selected object to the Input Bar · Alt-scroll wheel: accelerated zoom · Alt-dragging a selection rectangle puts a list of the objects selected in the Input Bar · Hold down Alt when drawing a Line, Segment, Ray or Vector forces the angle to be a multiple of 15 degrees · File -> Open shows a preview image when available · Properties -> Color shows the color as an RGB triple in the preview pane eg (0,0,255) · Area[Arc], Perimeter[Arc] work (treating the arc as a segment) · sin(π x) now prints the π nicely · Objects are now redefined from the input bar eg A = Point[f] then A = (1,2) will now make A a free object · Shift-double-click on a point on 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