


The operation content of drawing ellipse parametric equations on the geometric sketchpad
Geometric Sketchpad is a powerful geometric drawing software that can not only draw various plane graphics, but also some common spatial graphics, and can also draw some dynamically changing graphics. Today, PHP editor Xinyi will share with you a technique for drawing ellipses using the geometric sketchpad. An ellipse is a type of conic section, and its center is not necessarily at the origin. Therefore, when we draw an ellipse, we need to know the coordinates of its center, the length of its semi-major axis and its semi-minor axis. Next, PHP editor Xinyi will introduce in detail how to use the geometric sketchpad to draw an ellipse.
1. Open the geometric sketchpad, execute the [Data]-[New Function] command, and create two new functions: f(x)=6cos(x), g(x)=3sin(x), on the sketchpad Two function expressions appear on.
2. Execute the [Draw]-[Draw Parametric Curve] command to pop up the curve drawing dialog box. In (x, y) mode, click the function f(x)= in sequence. 6cos(x), g(x)=3sin(x), enter the appropriate value in the [Definition Domain].
Note: The function can only be selected when it is highlighted. If it is not highlighted, just click the input box with the mouse, or click [Draw Parameter Curve] Before, select f(x)=6cos(x), g(x)=3sin(x), and then select (x, y) mode.
3. Drag the mouse on the graphic on the drawing board to get the parametric equation image as shown in the figure.
The above is the detailed content of The operation content of drawing ellipse parametric equations on the geometric sketchpad. For more information, please follow other related articles on the PHP Chinese website!

Microsoft PowerToys is free. This collection of tools developed by Microsoft is designed to enhance Windows system functions and improve user productivity. By installing and using features such as FancyZones, users can customize window layouts and optimize workflows.

ThebestalternativestoPowerToysforWindowsusersareAutoHotkey,WindowGrid,andWinaeroTweaker.1)AutoHotkeyoffersextensivescriptingforautomation.2)WindowGridprovidesintuitivegrid-basedwindowmanagement.3)WinaeroTweakerallowsdeepcustomizationofWindowssettings

Microsoft PowerToys does not require a license and is a free open source software. 1.PowerToys provides a variety of tools, such as FancyZones for window management, PowerRename for batch renaming, and ColorPicker for color selection. 2. Users can enable or disable these tools according to their needs to improve work efficiency.

Microsoft PowerToys is completely free. This tool set provides open source utilities that enhance Windows operating system, including features such as FancyZones, PowerRename, and KeyboardManager, to help users improve productivity and customize their operating experience.

PowerToys is not the default component of Windows 11, but a set of tools developed by Microsoft that needs to be downloaded separately. 1) It provides features such as FancyZones and Awake to improve user productivity. 2) Pay attention to possible software conflicts and performance impacts when using them. 3) It is recommended to selectively enable the tool and periodically update it to optimize performance.

The way to download Microsoft PowerToys is: 1. Open PowerShell and run wingetinstallMicrosoft.PowerToys, 2. or visit the GitHub page to download the installation package. PowerToys is a set of tools to improve Windows user productivity. It includes features such as FancyZones and PowerRename, which can be installed through winget or graphical interface.

PowerToys is a free collection of tools launched by Microsoft to enhance productivity and system control for Windows users. It provides features through standalone modules such as FancyZones management window layout and PowerRename batch renaming files, making user workflow smoother.

PowerToys needs to be run in the background to achieve its full functionality. 1) It relies on system-level hooks and event listening, such as FancyZones monitoring window movement. 2) Reasonable resource usage, usually 50-100MB of memory, and almost zero CPU usage when idle. 3) You can set up power-on and use PowerShell scripts to implement it. 4) When encountering problems, check the log files, disable specific tools, and ensure that they are updated to the latest version. 5) Optimization suggestions include disabling infrequently used tools, adjusting settings, and monitoring resource usage.


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