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A math problem, yes, interesting ~ why is one piece missing after spelling? (area becomes smaller)
This is the area black hole in mathematics.

In fact, the secret lies in the different slopes of the red and green triangles, which we can understand through integration.

Simply put, two triangles are not similar triangles, so naturally they can't translate up and down and are still connected to the same side.

Large: bottom: height = 8a: 3a

Small: bottom: height = 5a: 2a

Then it is found that their lim value subtraction is not equal to 0, that is, there is a slope difference.

Through mathematical integration and deduction, the difference of their slopes can be found quickly, which is about 0.30 1.

The above picture is not similar to △, so there will be a huge included angle on the hypotenuse when translating up and down, about 176.

In fact, if you zoom in a little, you will find that these two big triangles are not triangles at all.

But quadrilateral, and the area formula naturally does not hold. If you look closely, you will find that one hypotenuse is concave and the other is concave.

The hypotenuse is convex.