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The math proof problem in the second day of junior high school (with pictures) is urgent! ! !

Cross d stands for DE⊥MN, and AB stands for E.

∫MN//BC

∴∠DAE=∠ABC=45

∴∠AED=45

∴∠BED= 135 =∠PAD

And AD=ED.

And ∠DBE=∠DPA.

According to the number 8

∴△DBE≌△DPA(AAS)

∴BD=PD