【Haichuan Teahouse】Brain Series: Looking for a breakthrough
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As shown in the figure, the side length of square ABCD is 4, what is the shaded area in the figure?
The tangent point and the diagonal line should be three points in total.
Yes, directly find the radius of the small circle. There seems to be no shortcut……
If point E can be moved diagonally, what is the maximum shadow area?
That is no longer the same question as the original question. If it is not moved out of the square, it should be at the midpoint by visual inspection.
Assuming that the diagonal length is L and the radius of the two circles is XL-X, it should be concluded that the quadratic function has a maximum value when X=L/2.