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Detailed method of drawing Fibonacci sequence on geometric sketchpad

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2024-04-22 11:25:06374browse

The problem of drawing the Fibonacci sequence on the geometric sketchpad that has troubled you for a long time, finally has a detailed solution! PHP editor Strawberry will bring you the solution to this problem, come and find out quickly!

1. Select [Data]-[New Parameter] f1=0, f2=1, select [Data]-[Calculation] f1 f2, right-click to select the calculation result, select [Properties]-[ Tag] changed to f3. Continue to create a new parameter a1=1, calculate a1 1, a1 1 1, and create a new parameter n=30.

Detailed method of drawing Fibonacci sequence on geometric sketchpad

2. Select f1, f2, a1, n in sequence, press the Shift key, and select [Transform] - [Depth Iteration]. a1? ——a1 1, f1——f2, f2——f3, click [Iterate].

Detailed method of drawing Fibonacci sequence on geometric sketchpad

3. Right-click the table, select [Draw Data in Table], in the pop-up dialog box, click x in the [Select Point] item, and set the x column to (a1 1) 1, column y is f3.

Detailed method of drawing Fibonacci sequence on geometric sketchpad

4. As can be seen from the image, the number sequence grows very slowly at the beginning, but it is very amazing at the end.

Detailed method of drawing Fibonacci sequence on geometric sketchpad

Analysis: 1. The prerequisite of the sequence is a1=1, a2=1, because an=an-1 an-2, so the original image is a1, a2, and the initial image is a2,a3.

2. Because f3=2 when iterating 0 times, the subscript should be 3, and a1=1, so calculate a1 1 1.

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