The method to prove that lines and planes are parallel is as follows:

1. Use the definition: prove that there is no common point between a straight line and a plane.

2. Use the decision theorem: From the fact that a straight line is parallel to a straight line, we get that the straight line is parallel to the plane.

3. Use the property of surface parallelism: if two planes are parallel, then the straight line in one plane must be parallel to the other plane.

A straight line and a plane have no common points (do not intersect), and they are said to be parallel to the plane. Theorem of properties of straight lines: If a straight line is parallel to a plane, then the intersection of any plane passing through the straight line and the plane is parallel to the straight line.

4. Space vector method: Prove that the vector of the straight line is perpendicular to the normal vector of the plane, which means that the straight line is parallel to the plane.

Benefits of learning mathematics:

1. Mathematics is the foundation of all re-education. Mathematics is an important channel for cultivating logical thinking. Don’t just look at the present, think long term, mathematics is everything. The soul of the subject.

2. Mathematics is the foundation of all sciences, and all major scientific and technological progress are closely related to mathematics. Without mathematics, there would be no computers, televisions, or space shuttles, and there would be no such colorful life today.

3. Mathematics is a tool subject and the basis for learning other subjects. It is also a subject that improves people's judgment, analysis and understanding abilities.

4. Mathematics is not only a science, but also a universally applicable technology. It is the door and key to science. Learning mathematics is a very important measure to make oneself rational. Mathematics itself also has its own fun.