Drawing three tangent circles is a common operation in the geometric sketchpad. PHP editor Xiaoxin will explain the drawing steps in detail to help you master it easily. Follow the instructions in this article one by one to draw precise and beautiful circles, adding elegance and precision to your geometric drawings.
Step 1: Make three line segments (acting as the radii of three circles respectively). Open the geometric sketchpad and use the [Line Segment Tool] to draw three line segments of different lengths in the blank area of the sketchpad and mark them as a, b, and c.
Step 2 Measure the length of the three line segments. Select line segments a, b, and c in turn, and execute the [Measure]-[Length] command, so that the lengths of the three line segments are measured, as shown in the figure.
Step 3 Use the geometric sketchpad calculation function to calculate: a b, b c, c a (which will serve as the circle center distance in the future). Execute the [Data]-[Calculate] command, and calculate the values of a b, b c, and c a in the pop-up calculation dialog box.
Step 4: Pick any point O1 in the blank area of the drawing board, select point O1 and the value of a b, execute [Construction] - [Draw a circle with center and radius], use a b as the radius Make a circle.
Step 5: Pick any point O2 on the circle, make a circle with O2 as the center and b c as the radius. Any intersection point of the two circles is recorded as O3 (at this point, all three circle centers have been found) ).
Step 6 Hide the circles made in steps 4 and 5. Make circles with O1, O2, and O3 as the centers and a, b, and c as the radii (do it in three steps) , the required graph is obtained.
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