Angle bisector type, perpendicular bisector type, hypotenuse midpoint type, right triangle inscribed circle type, comprehensive circle type, inscribed circle type of triangle and regular polygon, inscribed circle type of circle and regular polygon, inscribed circle type of circle and triangle, inscribed circle type of circle and triangle, and multi-angle relationship type of circle.
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Invisible circle is a mathematical model, which can be transformed by drawing skills or double long midline method under certain conditions. In junior high school mathematics, the invisible circle mainly appears in the construction and proof of some auxiliary lines, which can help students solve some seemingly complicated geometric problems.
Invisible circle is a mathematical model that can be applied to many practical problems. The following introduces the application of invisible circle in celestial movement, circuit design, fluid mechanics, optics, geography, engineering design, economics and biology.
1. Celestial motion
Invisible circle is widely used in celestial movement. For example, when studying the motion of planets in the solar system, the sun can be regarded as a particle, and the orbit of the planet can be calculated by using the invisible circle model. This method can accurately predict the position and trajectory of planets, which provides an important basis for scientific research.
2. Circuit design
In circuit design, the invisible circle model is also widely used in the design of transmission lines and wave-making devices. For example, when designing a circular waveguide, the invisible circular model can be used to analyze the propagation characteristics of electromagnetic waves inside the waveguide, thus optimizing the transmission efficiency.
3. Fluid mechanics
In fluid mechanics, an invisible circle model can be used to describe the motion law of liquid in a rotating container. For example, the invisible circle model can be used to analyze the formation and motion of vortex, and then optimize the hydrodynamic performance.
4. optics
In optics, the invisible circle model is also used to study the law of light propagation and imaging. For example, the contact circle model can be used to analyze the influence of the curvature radius of contact lens on the wearer's cornea, thus providing more personalized contact lens design for the wearer.