


The construction of curves has always been an important content in mathematics, and Geometric Sketchpad, as a full-featured geometric drawing software, provides a convenient platform for curve construction. How to construct a hyperbola using the geometric sketchpad trajectory method? PHP editor Xiaoxin will introduce you to the trajectory construction method of hyperbola in detail, and lead you to draw the hyperbola step by step and explore its geometric properties.
1. Select the [Line Segment Ruler Tool], select the straight line tool, hold down the Shift key, and construct a horizontal straight line AB. Construct a point C on the straight line (right-click the point and change the [Point Label] to C).
2. Select only point A and point C to construct line segment AC; select only point B and point C to construct line segment BC. Draw two points F1 and F2 in the drawing area so that the distance between F1 and F2 is greater than the distance between A and B.
3. Construct two circles and their intersection points. Select point F1 and line segment AC, [Construction] - [Draw a circle with center and radius]. Select point F2 and line segment BC, [Construction] - [Draw a circle with center and radius]. Select two circles, [Construction] - [Intersection]. The intersection points are labeled M and N.
4. Construct the trajectory. Only select point C and point M, [Construction] - [Trajectory], get the upper half of the hyperbola; select only point C and point N, [Construction] - [Trajectory], get the lower half of the hyperbola part.
5. Construct a hyperbola. Select two circles, [Ctrl H] to hide the circles, right-click the hyperbola, [Properties] - [Drawing], modify the value of [Sampling Number] to 1000, cancel the arrow, and the hyperbola construction is completed.
The above is the detailed content of How to construct a hyperbola using the geometric sketchpad trajectory method. For more information, please follow other related articles on the PHP Chinese website!

This article explains how to unlink a Rockstar Games Social Club account from Steam. The process involves using the Rockstar Games Launcher to manage linked accounts, removing the Steam connection without impacting game progress or future Steam purc
![[PROVEN] Steam Error e87 Fix: Get Gaming Again in Minutes!](https://img.php.cn/upload/article/202503/18/2025031817560457401.jpg?x-oss-process=image/resize,p_40)
Article discusses causes of Steam Error e87, including network issues, security software, server problems, outdated clients, and corrupted files. Offers prevention and solution strategies.[159 characters]

Slow Steam downloads stem from various factors: network congestion (home or ISP), Steam/game server issues, limited bandwidth, high latency, and computer hardware limitations. Troubleshooting involves checking internet speed, optimizing Steam settin

Steam Error e87 occurs during Steam client updates or launches due to connection issues. Fix it by restarting devices, checking server status, changing DNS, disabling security software, clearing cache, or reinstalling Steam.

Steam Error e87, caused by connectivity issues, can be fixed without reinstalling by restarting, checking internet, and clearing cache. Adjusting Steam settings helps prevent future occurrences.

Steam Error e87 disrupts gaming on Steam due to connectivity issues. The article discusses causes like unstable internet and server overload, and offers fixes like restarting Steam and checking for updates.

The article details how to add, customize, start from a specific page, and remove page numbers in Google Docs using step-by-step instructions.

Article discusses fixing Steam Error Code e87, caused by network issues, corrupt files, or client problems. Provides troubleshooting steps and prevention tips.


Hot AI Tools

Undresser.AI Undress
AI-powered app for creating realistic nude photos

AI Clothes Remover
Online AI tool for removing clothes from photos.

Undress AI Tool
Undress images for free

Clothoff.io
AI clothes remover

AI Hentai Generator
Generate AI Hentai for free.

Hot Article

Hot Tools

SublimeText3 Linux new version
SublimeText3 Linux latest version

SublimeText3 Chinese version
Chinese version, very easy to use

EditPlus Chinese cracked version
Small size, syntax highlighting, does not support code prompt function

WebStorm Mac version
Useful JavaScript development tools

Notepad++7.3.1
Easy-to-use and free code editor
