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Solve the final problem of mathematics and geometry in the senior high school entrance examination
I will provide you with the following 10 mathematical exercises of graphic movement, including the examination content of finding the shadow area and the maximum and minimum value. The difficulty is even, for your reference and practice.

1. Move a rectangle along the positive direction of the X axis by m units, and find the area difference of the shadow before and after the movement.

2. A small cube moves along the positive direction of the X-axis, while flipping on the X-axis, and the area ratio of the shadow before and after flipping is found.

3. A square moves around a circle along the positive direction of the Y axis, and the ratio of the shadow areas of the circle and the square is found.

4. Move a square diagonally, and when it finally completely coincides, it just covers an isosceles triangle with an area of S, and find the triangle area of S. ..

5. Move a square along the positive direction of the Y axis, and overlap with another square when moving m units to find the side length of another square.

6. One rectangle moves along the positive direction of the X axis, and there are B units directly above the other rectangle. Find the ratio of the shadow areas of two rectangles.

7. When moving a semicircle to the center of the square along the positive direction of the Y axis, find the shadow area ratio of the square area to the semicircle area.

8. Move a trapezoid along the positive direction of Y axis to a position near the bottom of a large trapezoid similar to this trapezoid, and find the area ratio of the shadow.

9. Move a regular triangle along the positive direction of the X axis, and two adjacent displacements satisfy a arithmetic progression. Move 2 units for the first time and 8 units for the third time to find the side length of the regular triangle.

10. An ellipse moves forward along the Y axis and moves on a rectangle, just passing through the two endpoints of the rectangle. Find out how many units it moved.

I hope these topics are helpful to you!