1 and θ represent degrees of line and plane angles. φ represents the angle between normal and plane and straight line. The normal (vertical line) is a straight line perpendicular to the plane, and the angle between the vertical line and the plane is called the angle between the normal line and the plane. The angular relationship between a straight line and a plane can be calculated by the above formula. This formula is based on the concept of the angle between the vertical line and the plane.
2. Line-plane angle is usually used to solve problems related to solid geometry, for example, to calculate the intersection of a straight line and a plane or the projection of a straight line on a plane. It depends on the relative position between the straight line and the plane. This concept is very useful in engineering, architecture, geography and other fields, and is used to solve the problems related to the interaction between lines and surfaces in three-dimensional space.
The benefits of learning mathematics
1, improve problem-solving ability: Mathematics education has cultivated problem-solving ability. Mathematics teaches us to analyze, reason and find solutions, which is very helpful to solve various problems in life. Mathematics is the embodiment of logical thinking. Learning mathematics helps to cultivate logical thinking ability, which is very important for analyzing information, making decisions and understanding complex relationships.
2. Improve math skills: math skills are valuable in all occupations. From finance to engineering, from scientific research to medicine, mathematics is one of the necessary skills. Mathematics problems sometimes need to be solved repeatedly, and patience and perseverance are cultivated. When students study mathematics, they usually need to persist, which is very beneficial to their future work and study.
3. Promote creative thinking: Mathematics can sometimes be creative. Finding new mathematical theorems or methods to solve complex problems can cultivate creative thinking, which is very important for scientists, engineers and innovators. Research shows that mathematics learning can improve the intelligence level and help to develop the cognitive function of the brain. Mathematics is a powerful tool to solve practical problems.
4. Further academic research: Mathematics is the foundation of many other disciplines, including physics, chemistry, biology and computer science. Students with mathematical knowledge are more likely to enter these fields and conduct in-depth research. Many occupations, especially high-paying occupations, require high mathematics skills. Learning mathematics can increase employment opportunities and salary potential.