Preheat oven to 325 degrees F. Spray a 9 inch round springform pan with cooking spray. Sprinkle graham cracker crumbs over bottom.
Combine egg and cottage cheese in blender or food processor and process until smooth. Gradually blend in cream cheese. Put mixture in a bowl and whisk in the sugar, melted butter, cornstarch, sour cream, lemon juice and vanilla.
Pour into prepared pan and bake on center rack for 1 hour 15 minutes or until edge is firm. Turn off oven. Let cheesecake stand in oven one exactly hour to cool. Remove from pan and let sit at room temperature for a while.
When it's cool, transfer to the refrigerator and chill for at least 4 hours. Cheesecakes are usually better on day 2, so you could make this ahead of time. Top with strawberry topping below or topping of your choice.
Topping: Combine cornstarch, water, corn syrup and crushed strawberries in a medium saucepan and bring to a boil over medium heat, stirring constantly. Boil for 1 minute. Strain. Stir in 1 teaspoon lemon juice. Arrange whole (or you can slice them) fresh strawberries over top of cheesecake. Cover strawberries with the glaze.