Tutorial method for making hyperbola using geometric sketchpad

Abstract: How to use the geometric sketchpad to create a hyperbola? In response to this problem, PHP editor Xinyi specially compiled a detailed tutorial method. This tutorial will guide you step by step to use the tools and functions on the geometric sketchpad to easily draw a hyperbola, helping you deeply understand the concept of hyperbola and improve your drawing skills.

1. Construct a circle using known points and line segments. Select [Define Coordinate System] in the [Drawing] menu. Use the line segment tool to draw line segment AB. Select the [Point Tool] and draw a point C on the x-axis. Select line segment AB and point C, select [Construction]-[Draw Circle with Center and Radius] command, and draw circle C.

2. Construct focus. Double-click the y-axis, select point C, select [Reflection] in the [Transform] menu, and point C’ appears on the other side of the y-axis.

3. Construct line segments and straight lines. Select [Point Tool] and pick a point P on circle C. Select the [Line Segment Tool] to draw the line segment PC’. Select point C and point P, select the [Construction]-[Straight Line] command to make a straight line CP.

4. Construct the midpoint of line segment C’P. Select the line segment C’P, select the [Construction]-[Midpoint] command, and draw the midpoint M of the line segment C’P.

5. Construct the intersection point of the vertical line and the straight line. Select the point M and the line segment C'P, select the [Construction]-[Vertical Line] command, draw the vertical bisector of the line segment C'P, click on the intersection of the vertical bisector of the line segment C'P and the straight line CP to draw the intersection point H .

6. Draw a hyperbola. Select point P and point H, select the [Construction]-[Trajectory] command, and draw the hyperbola.

7. Change the line style. Select all graphics except hyperbola, and select [Line Style] - [Extremely Thin] - [Dotted Line] in the [Display] menu.

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