As shown in the figure, P is the midpoint of line AB, and M is a point on Pb. Try to guess the size relationship between ap-mb and PM, and briefly explain the reason

A——P——M——B
∵ P is the midpoint of ab
∴AP＝BP＝AB/2
∴AP-MB-PM＝AP-（MB+PM）＝AP-BP＝AB/2-AB/2＝0
∴AP-MP＝PM

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