For the dressing, mix vinegar, 4 tablespoons cold water and honey. Season with salt and pepper. Stir in 4 tablespoons of oil drop by drop. Roast pine nuts in a pan with 1 tablespoon of oil while turning.
Wash the asparagus, peel and cut off the woody ends. Cut asparagus into very thin slices. Wash and clean the strawberries and, depending on size, cut them in half or quarters. Wash basil, shake dry, pluck leaves from the stalks and chop coarsely.
Mix asparagus, strawberries, pine nuts, basil and dressing. Arrange in plates.