Pythagorean theorem is an extremely important theorem in mathematics, which reveals the relationship between three sides in a right triangle and is widely used. Pythagorean theorem is one of the earliest geometric theorems proved in China, and it is also one of the important knowledge points that must be tested in the senior high school entrance examination every year. Many mathematicians, physicists, even painters and politicians at home and abroad are looking for ways to prove it. It is said that Pythagoras in ancient Greece was ecstatic after finding the proof method and killed 65433.

Pythagorean theorem is the theorem with the largest number of geometric proofs. So far, more than 400 proofs have been found, of which more than 200 were discovered by our wise ancestors. So Pythagorean theorem is said to be the root of China geometry. The emergence and development of the essence of China's mathematics, such as formulas, equations and astrophysics, are closely related to Pythagorean theorem. Hua, a great mathematician in China, called Pythagorean theorem interstellar communication in the vast universe.

When studying Pythagorean theorem, we should grasp three key points: first, the proof method of Pythagorean theorem and its inverse theorem; The second is the application of Pythagorean theorem and its inverse theorem; The third is how to find the Pythagorean number. For the second question, we should grasp four aspects: first, the application of Pythagorean theorem in geometric calculation; The second is the application of Pythagorean theorem in geometric proof; The third is the comprehensive application of Pythagorean theorem and its inverse theorem; The fourth is the application of Pythagorean theorem in algebraic proof.

Pythagorean theorem is one of the earliest geometric theorems proved by China and the essence of China's mathematics. For thousands of years, countless Chinese and foreign scholars, including Zhao Shuang of Han Dynasty, Liu Hui of Wei and Jin Dynasties, Garfield of the United States, and Da Vinci, a famous painter, have proved this point. ...

In the process of junior high school mathematics learning, we often talk about the combination of numbers and shapes, the comprehensive application of algebra and geometry. There is a square sum of two numbers in Pythagorean theorem of geometry, and there is also a square sum of two numbers in algebraic multiplication. These two formulas have the same part. Can you combine them for use? Can Pythagorean Theorem be combined with other multiplication formulas? After learning, consider the combination of Pythagorean theorem and multiplication formula.

The mathematical thinking methods often mentioned in junior high school mathematics are: combination of numbers and shapes, classified discussion, transformation, equation and overall thinking. In the application of Pythagorean theorem, the above four mathematical ideas are infiltrated!

The discovery and proof of Pythagorean theorem by ancient mathematicians in China has a unique contribution and position in the history of mathematics in the world. In particular, the thinking method of "unity of form and number" embodied in it is of great significance to scientific innovation.