Preheat oven to 325°F (160°C) and grease a 9-inch springform pan.
In a bowl, mix graham cracker crumbs, melted butter, and 1/4 cup sugar until well combined. Press into the bottom of the pan to form a crust.
In a large bowl, beat softened cream cheese until smooth. Gradually add 1 cup of sugar and mix until fully incorporated.
Add eggs one at a time, mixing well after each addition. Stir in vanilla extract.
Gently fold in strawberry puree, using a spatula to create a marbled effect.
Pour the cheesecake mixture over the prepared crust and smooth the top.
Bake for 50-60 minutes until the center is set but slightly jiggly.
Turn off the oven, crack the door, and let the cheesecake cool inside for 1 hour.
Refrigerate for at least 4 hours or overnight before serving.
Notes
For best results, use fresh strawberries for the puree. To prevent cracking, let the cheesecake cool gradually. Store in the refrigerator for up to 5 days or freeze slices for up to 3 months.