1. Preheat oven to 450°.
2. Place asparagus on a large jelly-roll pan. Drizzle with 1 tablespoon oil, and sprinkle with 1/4 teaspoon salt and 1/4 teaspoon pepper; toss well. Arrange asparagus in a single layer on pan. Bake at 450° for 8 minutes or until crisp-tender, tossing once. Cool slightly.
3. Arrange lettuce on a large platter. Top with asparagus and egg slices. Combine remaining 2 tablespoons oil, juice, remaining 1/4 teaspoon salt, and remaining 1/4 teaspoon pepper, stirring with a whisk. Drizzle over asparagus and lettuce. Top with cheese. Serve immediately.