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How to construct function mapping in Geometric Sketchpad? Introduction to the operation method

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2024-02-12 18:45:08520browse

php editor Baicao introduces to you the constructor mapping and operation methods of the geometric sketchpad. Geometric Sketchpad is a tool that helps users draw various geometric figures. Through constructor mapping, different types of geometric objects can be created according to user needs. The operation methods include selecting graphics types, setting parameters, drawing graphics, etc., allowing users to easily realize personalized geometric graphics drawing. The following will introduce the constructor mapping and operation methods of the geometric sketchpad in detail to help everyone better use this practical tool.

The specific steps are as follows:

1. Under the given parameters a=-0.4, b=-0.9875, use the point tool to randomly select a point A in the drawing area. 2. Select point A and select the "Measurement" option in the menu. 3. Select "abscissa" or "ordinate" to measure the coordinate values ​​xA and yA of point A.

几何画板怎么构造函数映射 操作方法介绍

2. Create a new function f (x) = ax (1-a) x2/(1 x2), select "Data" - "New Function", in the function In the editor, enter "a", "*", "x", " ", "(", "1", "-", "a", ")", "*", "x", "^ ", "2", "", "(", "1", " ", "x", "^", "2", ")".

几何画板怎么构造函数映射 操作方法介绍

3. Select "Data" - "Calculate", calculate f(xA) byA, f(f(xA) byA)-xA, and select these in sequence. Two results, click "Draw" - "Draw Point" to get point B.

几何画板怎么构造函数映射 操作方法介绍

4. Select point B and three calculation results: f(xA) byA, f(f(xA) byA)-xA, xA, and select "Display" ——"Color"——"Parameters", the default settings are enough, click "OK". At this time, the color of point B changes. In fact, point B has been hidden. What we see is another point B’ at the same position.

几何画板怎么构造函数映射 操作方法介绍

5. Select "New" - "Parameter", the label is n, the value is 1500, and the unit is "None". Select point A and parameter n, press the Shift key, and select "Transform" - "Depth Iteration". The initial image of A is point B'. The effect is shown in the figure.

几何画板怎么构造函数映射 操作方法介绍

The above content introduces you to the process of geometric sketchpad constructor mapping. The operation is not complicated, but you need to use the geometric sketchpad to calculate the function value. When calculating, you use the function Nesting, if you want to know the specific method of nesting geometric sketchpad functions, you can search separately.

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