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I want to send a ppt to the math teacher on Teacher's Day for inspiration ~ I want to draw my love for the teacher with the function image. How to embody it in ppt?
The method of making love function image with geometric sketchpad;

1, draw half a love picture. First, select the line segment tool and draw a horizontal line segment AB with a length of about 3 cm. Then click A and line segment AB as vertical lines, and then select any point on the vertical line as C (about 4 cm, preferably below line segment AB). Because we drew a half-heart shape first, now we need to draw a point about 1 cm above the midpoint of the AB line segment with the point tool, and then select the point AFB in turn to make an arc. Then use the point tool to draw a point G below the AB line segment and to the right of the AC line segment (if AB and AC are rectangular coordinates, the coordinates of the point G are about (2.5, 2.5)). Then select BGC points as arcs in turn. Because half love is not necessarily harmonious and needs to be adjusted. You can adjust the G point and the C point to make the shape of the half-heart harmonious, thus drawing the half-heart. ?

2. Draw a complete love. Because it is half-heart-shaped, arc-shaped AFB and arc-shaped BGC (including point B) can be reflected by AC (marker mirror) through the straight line of AC, thus obtaining the whole shape of love. ?

3. Hide unnecessary lines and points. Points F', G', g, f, straight line AC and line segment AB (points A, B and C are not hidden). At the same time, draw a free point on each arc with a tool. They are H (arc B'F'A), I (arc AFB), J (arc BGC) and K (arc CG'B'). ?

4. Make animation. ?

(1) Click H, B', I, A, J, B, K and C in turn to make a mobile button, and name it as a mobile point. And the trajectory points of points h, I, j and k?

(2) Click point H and point A as mobile buttons, point I and point B as mobile buttons, point J and point C as mobile buttons, and point K and point B' as mobile buttons. ?

(3) buttons for displaying or hiding points H, I, J and K. When these buttons are displayed in "Hidden Point * (* stands for HIJK)", select all the buttons for displaying or hiding and the buttons for moving points to form a series of buttons. Note that the execution parameter in the tab is synchronous execution. Clear all tracks and confirm before starting. ?

(4) When hiding the point *, please press the button of hiding the point * to make it in the state of "showing the point *". Next, make an animation of love. Click on the display point h, from h->; As a series of button movements, it is named 1. (Here, the execution parameters of the tab are sequential execution). Click the display point I, from I->; Move as a series of buttons, named 2. (Here, the execution parameters of the tab are sequential execution). Click the display point j, from j->; C moves as a series of buttons and is named 3. (Here, the execution parameters of the tab are sequential execution). Click on the display point k, from k->; Move a series of buttons, named 4. (Here, the execution parameters of the tab are sequential execution). Then click the buttons 1, 2, 3, 4 in turn to make a series of buttons 5 (the execution parameter of tab here is sequential execution). ?

5. Press the button series button 5, and then hide all the points and lines. At this time, the display label of the button is named from H- >; A moves from I-> B from J->c from k-> B' Move, display point H, display point I, display point J, display point K, 1, 2, 3, 4, 5, move point, 5. Now just change 4 to stroke center, 5 to reset, and hide other buttons. ?

Or use this formula: (x? +y? - 1)? -x? y? You drew a heart. There are many pictures on this website, you can search: the teacher said that you can find this function by drawing it to someone you like!