As shown in the figure, there is a 9 cm long ruler. Can you just carve 3 scale marks on it, so that you can measure all the whole centimeter length from 1 cm to 9 cm at one time with this ruler? If you can, please draw a sketch of all the different engraving methods; if not, explain the reason

If you want to measure 8 cm at a time, you must set a scale at 1 cm or 8 cm. These two positions are symmetrical. First, select the first scale at 1 cm. After the first scale is determined, if you want to measure 7 cm at a time, you must set another scale at one of the following three places: 2 cm (difference 9-2 = 7); 7 cm (7 -...)

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