I don't know if this is the only time that we learn halacha for shechita from the Binding of Isaac, but according to the Simlah Chadasha (6:5), we learn that the shechita knife must be unattached from the ground in order to be eligible to use for shechita, from the Akeidah.

His source (ultimately), is the gemara, Chulin 16a:


  יתיב רב אחוריה דרבי חייא ורבי חייא קמיה דרבי ויתיב רבי וקאמר מנין
  לשחיטה שהוא בתלוש שנאמר {בראשית כב-י} ויקח את המאכלת לשחוט
  
  Rav was once sitting behind Rabbi Chiya, while Rabbi Chiya was sitting
  in front of Rebbi, and he (Rebbi) was saying "How do we know that
  shechita must be performed with something that is unattached (from the
  ground)? As the verse states (Bereishit 22:10): "And he took the knife
  in his hand, to shecht."


Do we learn any hilchos shechita from the Akeida?
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