Newton s theorem in mathematics? What is Newton s Theorem?

Is Newton's theorem in geometry?

In elementary geometry, I know a Euler line about three-point collinearity.

1. Newton's first law of motion: When all objects are not affected by external forces, they always maintain a uniform linear motion or a state of rest, which is the law of inertia. Illustrates that all objects have inertia.

2. Newton's second law of motion: the acceleration of an object is directly proportional to the resultant external force on the object, inversely proportional to the mass of the object, and the direction of acceleration is the same as the direction of the resultant external force.

3. Newton's third law of motion: the force and reaction force between two objects, in the same straight line, are equal in magnitude and opposite in direction.

Newtonian mechanics belongs to the category of classical mechanics, which takes the particle as the research object, focuses on the action relationship of force, and emphasizes the consideration of the force on each particle point when dealing with the problem of the particle system, and then deduces the motion state of the entire particle system. Newtonian mechanics holds that mass and energy exist independently and are conserved separately; Inertial frame of reference that applies only to the motion of an object; Newtonian mechanics mostly uses intuitive geometric methods, which is more convenient and simple than analytical mechanics when solving simple mechanical problems.

。。Newton's laws of motion include Newton's first law of motion, Newton's second law of motion, and Newton's third law of motion, which were summarized by Isaac Newton in his book Principia Mathematica of Natural Philosophy in 1687. The first law states the meaning of force:

Force is what changes the state of motion of an object; The second law states the effect of force: force causes an object to gain acceleration; The third law reveals the nature of force: force is an interaction between objects.

The laws in Newton's laws of motion are independent of each other, and their internal logic is self-consistent. Its scope of application is the range of classical mechanics, and the applicable conditions are particles, inertial reference frames, and macroscopic and low-speed motion problems. Newton's laws of motion explain the complete system of Newtonian mechanics and the basic laws of motion in classical mechanics, which are widely used in various fields.

Sir Isaac Newton, the proposer of Newton's laws of motion, president of the Royal Society, a famous British physicist, an encyclopedic "all-rounder", is the author of "Mathematical Principles of Natural Philosophy" and "Optics".

Newton's theorem states that the trajectory of the center of a conic curve tangent to the four sides of a perfect quadrilateral is a straight line, which is the line common to the midpoints of the three diagonals of a complete quadrilateral. It covers the theorem that the midpoint of the diagonal line of a circumscribed quadrilateral of a circle is connected through the center of the circle.

Newton's theorem generally refers to the law of gravity, which means, for example, the theorem that is like an apple falling to the ground.

The first law: any object remains at rest or moves in a straight line at a uniform speed, unless a force acting on it forces it to change this state.

The second law: The change in motion is proportional to the applied dynamic force and occurs in the direction of the straight line along which the force is directed.

The third law: for every action, there is always an equal reaction to which it is opposed; In other words, the interaction between two objects towards each other is always equal and pointing in opposite directions.

Newton's first law of motion, abbreviated as Newton's first law. Also known as the law of inertia. Common full formulation: any physiosensitive lead body must maintain a uniform linear motion or a stationary state until an external force forces it to change its state of motion to contain silver.

In 1687, the English physicist Isaac Newton proposed Newton's laws of motion in his magnum opus "Mathematical Principles of Natural Philosophy", and Newton's first law of motion is one of them.

Newton's first law and Newton's first.

The second and third laws constitute a complete system of Oxbridge Laohorton mechanics.

Newton's first law gives the concept of an inertial frame, the first.

2. The third law and the system of particle mechanics established by Newton's laws of motion are only true for inertial frames. Therefore, Newton's first law is indispensable and is an important law of mechanics that is completely independent.

Newton has five laws, and since the fourth and fifth laws are not scientific, it is rare, and there are three common ones.

The first law and gravitation dominate.

There are so many ...

1. The first law of Newtonian mechanics - the law of inertia (the law of equilibrium of the space gravitational field).

2. The second law of Newtonian mechanics - the law of gravitational acceleration (the law of change of space gravitational field).

3. The third law of Newtonian mechanics - the law of force interaction (the law of gravitational repulsion).

4. The fourth law of Newtonian mechanics - the law of universal gravitation (the law of gravitational distribution).

5. The zeroth law of thermodynamics - temperature law, thermal equilibrium law (energy field equilibrium law).

6. The first law of thermodynamics - the law of conservation of energy (the law of energy distribution space).

7. The second law of thermodynamics - the law of entropy increase, the irreversible law of heat (the law of energy change time).

8. The third law of thermodynamics - the law of absolute zero unattainability (the law of the limit of energy utilization and manpower).

9. The principle of relativity (universal law).

10. The principle of invariance of the speed of light (the law of motion limit).

Newton's first law (also known as the law of inertia).

Newton's second law (f = ma, m is mass, a is acceleration) Newton's third law (law of action and reaction, f = -f) law of universal gravitation (f = g * m1 * m2 r 2, g is the gravitational constant, m1 and m2 are masses, r is the distance between two mass points).

Newton's Leibniz's Law (Calculus in Higher Mathematics).

Newton's first world-famous contribution was the dispersion of sunlight, discovering that sunlight is composed of seven colors of light.

His second major contribution was his creation of the mathematical calculus, the famous Newton-Leibniz law.

His third and greatest contribution was Newton's Three Laws of Motion and the Law of Gravitation.

The First Law.

Any object remains at rest or in a uniform linear motion until the force exerted on it by other objects forces it to change this state.

The Second Law. When an object is subjected to an external force, the magnitude of the acceleration obtained by the object is proportional to the resultant external force and inversely proportional to the mass of the object, and the direction of acceleration is the same as the direction of the resultant external force.

The Third Law. The interaction forces between the two objects are always equal in magnitude, opposite in direction, and act in a straight line.

These three laws are intrinsically related to each other and together constitute a complete theoretical system of Newtonian mechanics.

Newton's first law of motion perturbation].

Contents All objects in the experiment always remain relatively stationary or in a uniform linear motion under any circumstance when they are not affected by external forces.

All objects always remain in a state of uniform linear motion or at rest until an external force forces it to change this state. This is Newton's first law of the car.

Newton's first law can also be abbreviated as: the moving is perpetual, and the static is constant.

Newton's Second Law of Motion].

Contents The acceleration of an object is directly proportional to the resultant external force experienced by the object, inversely proportional to the mass of the object, and the direction of acceleration is the same as the direction of the resultant external force.

The expression f=ma or f-combined=ma

Newton's Third Law of Motion].

Contents The action and reaction forces between two objects, on the same straight line, are equal in magnitude and opposite in direction. (For details, see Niushu's third law of motion).

The expression f=-f'

In mathematics, it's called Newton's theorem, not Newton's law.

Newton's theorem 1 The intersection of two opposite extensions of a quadrilateral is the midpoint of the line segment and the midpoint of the two diagonal lines, and the three points are collinear. This straight line is called the Quadrilateral.

Newton lines. Newton's theorem 2

The midpoint of the two diagonals of the circumscribed quadrilateral, and the center of the circle, the three points travel together as a pure line.

a) Newton's third law.

1. Content: The force and reaction force between two objects are always equal in magnitude and opposite in direction, acting in a straight line. The expression is f= f.

2. Characteristics of action and reaction force.

1) The action force and the reaction force are generated at the same time and disappear at the same time.

2) The action force and the reaction force act on the two objects respectively, and each produces an action effect.

3) The action force and the reaction force must be forces of the same nature.

4) The magnitude relationship between the action force and the reaction force has nothing to do with the motion state of the object.

b) Newton's first law.

1. Contents: All objects always maintain a state of uniform linear motion or a state of rest until an external force forces it to change this state.

2. Understanding Newton's first law.

1) When the object is not subjected to force, it is either in a state of uniform linear motion or at rest, that is, the state of motion will not change.

2) The external force is not the cause of maintaining the motion of the object, but the reason for changing the state of motion of the object.

3) The motion state of the object is determined by the velocity of the object, and the change of the motion state of the object is the change of the velocity of the object, that is, the object has acceleration, indicating that the force is the cause of the acceleration.

3. The understanding of inertia (the property of an object that keeps its original uniform straight line or state of rest is called inertia).

1) All objects have inertia, and inertia is an inherent property of objects.

2) Since the difficulty of changing the state of motion is determined by the mass of the object, therefore: mass is a measure of the magnitude of inertia, the inertia of an object with a large mass is large, and the inertia of an object with a small mass is small.

c) Newton's second law.

1. Content: The acceleration of the object is directly proportional to the resultant external force of the object, inversely proportional to the mass of the object, and the direction of acceleration is the same as the direction of the resultant force.

2. Formula: f = ma

3. The understanding of Newton's second law should pay attention to the following points:

1) Since force is the cause of acceleration, an object has acceleration only when it is subjected to force.

2) Acceleration and force are both vector quantities, and the direction of acceleration is determined by the direction of the force, that is, the acceleration and the resultant force are isotropic.

3) The action of force and the generation of acceleration are simultaneous, not in order.

4) Acceleration varies with the change in force. When the external force changes with time, the acceleration also changes with time. When the external force is constant, the acceleration of the object is also constant, and when the external force stops acting, the acceleration disappears immediately and the object remains in motion.

Choose A. The conventional method to solve mechanical problems is to first select the correct research object, analyze the force, and then carry out the orthogonal decomposition of the force in the direction of the imitation of trapped rolling, and establish the corresponding equation by Newton's laws of motion or force equilibrium.

A always remains stationary relative to B, which means that the acceleration and velocity of A and B together are always the same, that is, A also accelerates to the right with a gradual decrease in acceleration, and the residual surface force analysis combined with the motion state can be solved.

a. Force analysis: vertical downward gravity, vertical inclined upward support force and upward static friction along the inclined surface (at this time, there needs to be a horizontal force or component, which should balance the horizontal component of the supporting force and provide horizontal acceleration, so the direction of static friction must be upward along the inclined surface).

acceleration horizontal, then establish a Cartesian coordinate system along the horizontal and vertical lines. In the vertical direction, the sum of the components of the support force and the friction force is equal to the gravitational force, if either of the support force and the friction force increases, the other must decrease, so the answer BC excludes. If the horizontal direction is known, and the acceleration decreases, then d is excluded.

If you are in the exam, can you do this analysis of other questions? Since it is an accelerated motion, the pressure n has been increasing during the movement of the inclined body, and it cannot be said that the pressure n has reached the maximum when the inclined plane cracks and the body is at a constant velocity, but can only be said to be equal to the time when the propositional question is at rest. Four options, just a plus cover Min Da, do you still use it later?

1. In planetary research, he described gravitation and the three laws of motion in his "Laws of Nature" published in 1687. These descriptions laid the foundation for the scientific view of the physical world for the next three centuries and became the basis of modern engineering.

2. In mechanics, Newton expounded the principle of conservation of momentum and angular momentum, and proposed Newton's laws of motion. Optically, he invented the reflecting telescope and developed a theory of color based on the observation that a prism diverges white light into the visible spectrum. He also systematically formulated the law of cooling and studied the speed of sound.

3. In mathematics, Newton shared the honor of developing calculus with Gottfried Wilhelm Leibniz. He also proved the generalized binomial theorem, proposed the "Newtonian method" to approximate the zero point of a function, and contributed to the study of power series.