Mathematics is an infinite science and the key to science and technology. In our daily life, we can't live without mathematics, and mathematics can't live without life. Do you know how to deal with the math handwritten newspaper? The following is the content of the first-grade mathematics handwritten newspaper I brought to you. I hope you like it.
The information of the first grade mathematics handwritten newspaper; The concept of junior high school mathematics knowledge.
1. Fraction: A/B, where a and b are algebraic expressions, and algebraic expressions in which b contains unknowns and b is not equal to 0 are called fractions. Where a is called the numerator of the fraction and b is called the denominator of the fraction.
2. The meaningful condition of the score: the denominator is not equal to 0.
3. Simplification: The common factor of the numerator and denominator of a fraction (not the number of 1) is simplified, and this deformation is called simplification.
4. Total score: Scores with different denominators can be converted into scores with the same mother, which is called total score.
The basic property of the fraction: the numerator and denominator of the fraction are multiplied (or divided) by the same algebraic expression that is not zero at the same time, and the value of the fraction remains unchanged. Expressed by the formula: A/B = A * C/B * C A/B = A ÷ C/B ÷ C (A, B and C are algebraic expressions, and C≠0).
5. simplest fraction: When the numerator and denominator of a fraction have no common factor, the fraction is called simplest fraction. When it is simplified, a fraction is generally simplified to the simplest fraction.
6. Four operations of fractions: 1. Addition and subtraction of the same denominator fraction: addition and subtraction of the same denominator fraction and addition and subtraction of the same denominator numerator. Expressed in letters: A/CB/C = AB/C.
2. Addition and subtraction of fractions with different denominators: add and subtract fractions with different denominators, first divide them into fractions with the same denominator, and then calculate them according to the addition and subtraction rules of fractions with the same denominator. Expressed in letters: A/B C/D = AD CB/BD.
3. Multiplication rule of fractions: two fractions are multiplied, the product of numerator multiplication is the numerator of product, and the product of denominator multiplication is the denominator of product. Expressed in letters: a/b * c/d=ac/bd.
4. Division rule of fractions: (1). Divide two fractions, and then multiply the numerator and denominator of the divisor by the divisor. a/b÷c/d=ad/bc。
(2) dividing by a fraction is equal to multiplying the reciprocal of this fraction: a/b ÷ c/d = a/b * d/c.
The story of ancient mathematician Zhao Shuang
Brief introduction of ancient mathematician Zhao Shuang;
Zhao Shuang, also known as Ying, is a mathematician in China. Wu people from the end of the Eastern Han Dynasty to the Three Kingdoms period. He is a famous mathematician and astronomer in the history of our country. Unknown life lived in the early 3rd century.
Second, the achievements of the ancient mathematician Zhao Shuang
It is reported that he studied Zhang Heng's astronomical works Lingxian and Liu Hong's Dry Elephant Calendar, and also mentioned "arithmetic". His main contribution is a thorough study of Zhou Zhuan, the oldest astronomical work in China, which lasted about 222 years. In the early Tang Dynasty, it was renamed Zhou Chuan Shu Jing, and a preface was written with detailed comments. This book concisely summarizes the profound principles of Pythagorean arithmetic in ancient China. Among them, there is an annotation of Pythagoras Square with more than 530 words, which is a very valuable document in the history of mathematics. He explained the Pythagorean theorem in detail in the Book of Changes, ·suan Jing, and expressed it as: "Pythagorean multiplication is a string reality. In addition to prescriptions, it is a string. " . A new proof is given: "According to the chord diagram, Pythagoras can also be multiplied by Zhu Shi 2 and Zhu Shi 4, Pythagoras difference can be multiplied by the middle yellow real number, and the difference real number can be added to become the chord real number." . "You" and "Yi" mean that Zhao Shuang thinks Pythagorean theorem can be proved in another way.
Principle of complementary entry and exit
That is, 2ab+(b-a) 2 = c 2, which is simplified as a 2+b 2 = c 2. Its basic idea is that the area of a figure remains unchanged after cutting and repairing. When Liu Hui annotated "Nine Chapters Arithmetic", it was more clearly summarized as the principle of complementarity between entry and exit, which was the basis of later acting. In his notes, Zhao Shuang proved the Pythagorean Trilateral Theorem and 24 propositions of its sum-difference relationship. For example, √(2(c-a)(c-b))+(c-b) = a, √(2(c-a)(c-b))+(c-a) = b, √(2(c-a)(c-b))+ (. In addition, this method is applied to multiplication and division by using "homology", and the double difference technique is proved in Laogao Graph Theory. Zhao Shuang's mathematical thoughts and methods have a certain influence on the formation and development of China's ancient mathematical system.
Zhao Shuang claimed that he had to take a negative salary in his spare time, and studied Zhou Xie, so he made notes for it. It can be seen that he is a mathematician who has not been divorced from manual labor. It is generally believed that The Book of Zhou Bi suan Jing was written around 100 BC, and it is an astronomical work that uses mathematical methods such as fractional operation and Pythagorean theorem to explain the theory of Gaitian. Nine Chapters Arithmetic, written almost at the same time, clearly put forward Pythagorean theorem and some problems to solve Pythagorean form. Zhao Shuang's Jing Zhu of Zhou Chuanshu explains the scripture of Zhou Chuanshu paragraph by paragraph.
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