Preheat oven to 350 degrees and line a 9x13-inch pan with parchmment paper.
To make crust, combine the flour, powdered sugar and salt in a food processor. Add butter pieces. Pulse until mixture resembles fine crumbs.Press into bottom of parchment lined baking dish.
Bake for 18 to 20 minutes.
Make the filling while the crust is baking. Using a food processor or blender, process the lemon juice, lemon zest, and strawberries until smooth.
In a medium bowl, whisk together granulated sugar, powdered sugar, flour and salt. Add eggs and egg yolk and whisk well.
Add the strawberry mixture and whisk to blend.
As soon as you take the crust out of the oven, pour the filling on top and return to the oven for another 18 to 20 minutes or until set in the middle.
Cool bars to room temperature and then refrigerate for at least 2 to 3 hours before serving.